1 /* 2 Defines the basic matrix operations for the AIJ (compressed row) 3 matrix storage format. 4 */ 5 6 #include <../src/mat/impls/aij/seq/aij.h> /*I "petscmat.h" I*/ 7 #include <petscblaslapack.h> 8 #include <petscbt.h> 9 #include <petsc/private/kernels/blocktranspose.h> 10 11 /* defines MatSetValues_Seq_Hash(), MatAssemblyEnd_Seq_Hash(), MatSetUp_Seq_Hash() */ 12 #define TYPE AIJ 13 #define TYPE_BS 14 #include "../src/mat/impls/aij/seq/seqhashmatsetvalues.h" 15 #include "../src/mat/impls/aij/seq/seqhashmat.h" 16 #undef TYPE 17 #undef TYPE_BS 18 19 static PetscErrorCode MatSeqAIJSetTypeFromOptions(Mat A) 20 { 21 PetscBool flg; 22 char type[256]; 23 24 PetscFunctionBegin; 25 PetscObjectOptionsBegin((PetscObject)A); 26 PetscCall(PetscOptionsFList("-mat_seqaij_type", "Matrix SeqAIJ type", "MatSeqAIJSetType", MatSeqAIJList, "seqaij", type, 256, &flg)); 27 if (flg) PetscCall(MatSeqAIJSetType(A, type)); 28 PetscOptionsEnd(); 29 PetscFunctionReturn(PETSC_SUCCESS); 30 } 31 32 static PetscErrorCode MatGetColumnReductions_SeqAIJ(Mat A, PetscInt type, PetscReal *reductions) 33 { 34 PetscInt i, m, n; 35 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 36 37 PetscFunctionBegin; 38 PetscCall(MatGetSize(A, &m, &n)); 39 PetscCall(PetscArrayzero(reductions, n)); 40 if (type == NORM_2) { 41 for (i = 0; i < aij->i[m]; i++) reductions[aij->j[i]] += PetscAbsScalar(aij->a[i] * aij->a[i]); 42 } else if (type == NORM_1) { 43 for (i = 0; i < aij->i[m]; i++) reductions[aij->j[i]] += PetscAbsScalar(aij->a[i]); 44 } else if (type == NORM_INFINITY) { 45 for (i = 0; i < aij->i[m]; i++) reductions[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]), reductions[aij->j[i]]); 46 } else if (type == REDUCTION_SUM_REALPART || type == REDUCTION_MEAN_REALPART) { 47 for (i = 0; i < aij->i[m]; i++) reductions[aij->j[i]] += PetscRealPart(aij->a[i]); 48 } else if (type == REDUCTION_SUM_IMAGINARYPART || type == REDUCTION_MEAN_IMAGINARYPART) { 49 for (i = 0; i < aij->i[m]; i++) reductions[aij->j[i]] += PetscImaginaryPart(aij->a[i]); 50 } else SETERRQ(PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONG, "Unknown reduction type"); 51 52 if (type == NORM_2) { 53 for (i = 0; i < n; i++) reductions[i] = PetscSqrtReal(reductions[i]); 54 } else if (type == REDUCTION_MEAN_REALPART || type == REDUCTION_MEAN_IMAGINARYPART) { 55 for (i = 0; i < n; i++) reductions[i] /= m; 56 } 57 PetscFunctionReturn(PETSC_SUCCESS); 58 } 59 60 static PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A, IS *is) 61 { 62 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 63 PetscInt i, m = A->rmap->n, cnt = 0, bs = A->rmap->bs; 64 const PetscInt *jj = a->j, *ii = a->i; 65 PetscInt *rows; 66 67 PetscFunctionBegin; 68 for (i = 0; i < m; i++) { 69 if ((ii[i] != ii[i + 1]) && ((jj[ii[i]] < bs * (i / bs)) || (jj[ii[i + 1] - 1] > bs * ((i + bs) / bs) - 1))) cnt++; 70 } 71 PetscCall(PetscMalloc1(cnt, &rows)); 72 cnt = 0; 73 for (i = 0; i < m; i++) { 74 if ((ii[i] != ii[i + 1]) && ((jj[ii[i]] < bs * (i / bs)) || (jj[ii[i + 1] - 1] > bs * ((i + bs) / bs) - 1))) { 75 rows[cnt] = i; 76 cnt++; 77 } 78 } 79 PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cnt, rows, PETSC_OWN_POINTER, is)); 80 PetscFunctionReturn(PETSC_SUCCESS); 81 } 82 83 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A, PetscInt *nrows, PetscInt **zrows) 84 { 85 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 86 const MatScalar *aa; 87 PetscInt i, m = A->rmap->n, cnt = 0; 88 const PetscInt *ii = a->i, *jj = a->j, *diag; 89 PetscInt *rows; 90 91 PetscFunctionBegin; 92 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 93 PetscCall(MatMarkDiagonal_SeqAIJ(A)); 94 diag = a->diag; 95 for (i = 0; i < m; i++) { 96 if ((diag[i] >= ii[i + 1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) cnt++; 97 } 98 PetscCall(PetscMalloc1(cnt, &rows)); 99 cnt = 0; 100 for (i = 0; i < m; i++) { 101 if ((diag[i] >= ii[i + 1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) rows[cnt++] = i; 102 } 103 *nrows = cnt; 104 *zrows = rows; 105 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 106 PetscFunctionReturn(PETSC_SUCCESS); 107 } 108 109 static PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A, IS *zrows) 110 { 111 PetscInt nrows, *rows; 112 113 PetscFunctionBegin; 114 *zrows = NULL; 115 PetscCall(MatFindZeroDiagonals_SeqAIJ_Private(A, &nrows, &rows)); 116 PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)A), nrows, rows, PETSC_OWN_POINTER, zrows)); 117 PetscFunctionReturn(PETSC_SUCCESS); 118 } 119 120 static PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A, IS *keptrows) 121 { 122 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 123 const MatScalar *aa; 124 PetscInt m = A->rmap->n, cnt = 0; 125 const PetscInt *ii; 126 PetscInt n, i, j, *rows; 127 128 PetscFunctionBegin; 129 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 130 *keptrows = NULL; 131 ii = a->i; 132 for (i = 0; i < m; i++) { 133 n = ii[i + 1] - ii[i]; 134 if (!n) { 135 cnt++; 136 goto ok1; 137 } 138 for (j = ii[i]; j < ii[i + 1]; j++) { 139 if (aa[j] != 0.0) goto ok1; 140 } 141 cnt++; 142 ok1:; 143 } 144 if (!cnt) { 145 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 146 PetscFunctionReturn(PETSC_SUCCESS); 147 } 148 PetscCall(PetscMalloc1(A->rmap->n - cnt, &rows)); 149 cnt = 0; 150 for (i = 0; i < m; i++) { 151 n = ii[i + 1] - ii[i]; 152 if (!n) continue; 153 for (j = ii[i]; j < ii[i + 1]; j++) { 154 if (aa[j] != 0.0) { 155 rows[cnt++] = i; 156 break; 157 } 158 } 159 } 160 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 161 PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cnt, rows, PETSC_OWN_POINTER, keptrows)); 162 PetscFunctionReturn(PETSC_SUCCESS); 163 } 164 165 PetscErrorCode MatDiagonalSet_SeqAIJ(Mat Y, Vec D, InsertMode is) 166 { 167 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)Y->data; 168 PetscInt i, m = Y->rmap->n; 169 const PetscInt *diag; 170 MatScalar *aa; 171 const PetscScalar *v; 172 PetscBool missing; 173 174 PetscFunctionBegin; 175 if (Y->assembled) { 176 PetscCall(MatMissingDiagonal_SeqAIJ(Y, &missing, NULL)); 177 if (!missing) { 178 diag = aij->diag; 179 PetscCall(VecGetArrayRead(D, &v)); 180 PetscCall(MatSeqAIJGetArray(Y, &aa)); 181 if (is == INSERT_VALUES) { 182 for (i = 0; i < m; i++) aa[diag[i]] = v[i]; 183 } else { 184 for (i = 0; i < m; i++) aa[diag[i]] += v[i]; 185 } 186 PetscCall(MatSeqAIJRestoreArray(Y, &aa)); 187 PetscCall(VecRestoreArrayRead(D, &v)); 188 PetscFunctionReturn(PETSC_SUCCESS); 189 } 190 PetscCall(MatSeqAIJInvalidateDiagonal(Y)); 191 } 192 PetscCall(MatDiagonalSet_Default(Y, D, is)); 193 PetscFunctionReturn(PETSC_SUCCESS); 194 } 195 196 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *m, const PetscInt *ia[], const PetscInt *ja[], PetscBool *done) 197 { 198 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 199 PetscInt i, ishift; 200 201 PetscFunctionBegin; 202 if (m) *m = A->rmap->n; 203 if (!ia) PetscFunctionReturn(PETSC_SUCCESS); 204 ishift = 0; 205 if (symmetric && A->structurally_symmetric != PETSC_BOOL3_TRUE) { 206 PetscCall(MatToSymmetricIJ_SeqAIJ(A->rmap->n, a->i, a->j, PETSC_TRUE, ishift, oshift, (PetscInt **)ia, (PetscInt **)ja)); 207 } else if (oshift == 1) { 208 PetscInt *tia; 209 PetscInt nz = a->i[A->rmap->n]; 210 /* malloc space and add 1 to i and j indices */ 211 PetscCall(PetscMalloc1(A->rmap->n + 1, &tia)); 212 for (i = 0; i < A->rmap->n + 1; i++) tia[i] = a->i[i] + 1; 213 *ia = tia; 214 if (ja) { 215 PetscInt *tja; 216 PetscCall(PetscMalloc1(nz + 1, &tja)); 217 for (i = 0; i < nz; i++) tja[i] = a->j[i] + 1; 218 *ja = tja; 219 } 220 } else { 221 *ia = a->i; 222 if (ja) *ja = a->j; 223 } 224 PetscFunctionReturn(PETSC_SUCCESS); 225 } 226 227 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *n, const PetscInt *ia[], const PetscInt *ja[], PetscBool *done) 228 { 229 PetscFunctionBegin; 230 if (!ia) PetscFunctionReturn(PETSC_SUCCESS); 231 if ((symmetric && A->structurally_symmetric != PETSC_BOOL3_TRUE) || oshift == 1) { 232 PetscCall(PetscFree(*ia)); 233 if (ja) PetscCall(PetscFree(*ja)); 234 } 235 PetscFunctionReturn(PETSC_SUCCESS); 236 } 237 238 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *nn, const PetscInt *ia[], const PetscInt *ja[], PetscBool *done) 239 { 240 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 241 PetscInt i, *collengths, *cia, *cja, n = A->cmap->n, m = A->rmap->n; 242 PetscInt nz = a->i[m], row, *jj, mr, col; 243 244 PetscFunctionBegin; 245 *nn = n; 246 if (!ia) PetscFunctionReturn(PETSC_SUCCESS); 247 if (symmetric) { 248 PetscCall(MatToSymmetricIJ_SeqAIJ(A->rmap->n, a->i, a->j, PETSC_TRUE, 0, oshift, (PetscInt **)ia, (PetscInt **)ja)); 249 } else { 250 PetscCall(PetscCalloc1(n, &collengths)); 251 PetscCall(PetscMalloc1(n + 1, &cia)); 252 PetscCall(PetscMalloc1(nz, &cja)); 253 jj = a->j; 254 for (i = 0; i < nz; i++) collengths[jj[i]]++; 255 cia[0] = oshift; 256 for (i = 0; i < n; i++) cia[i + 1] = cia[i] + collengths[i]; 257 PetscCall(PetscArrayzero(collengths, n)); 258 jj = a->j; 259 for (row = 0; row < m; row++) { 260 mr = a->i[row + 1] - a->i[row]; 261 for (i = 0; i < mr; i++) { 262 col = *jj++; 263 264 cja[cia[col] + collengths[col]++ - oshift] = row + oshift; 265 } 266 } 267 PetscCall(PetscFree(collengths)); 268 *ia = cia; 269 *ja = cja; 270 } 271 PetscFunctionReturn(PETSC_SUCCESS); 272 } 273 274 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *n, const PetscInt *ia[], const PetscInt *ja[], PetscBool *done) 275 { 276 PetscFunctionBegin; 277 if (!ia) PetscFunctionReturn(PETSC_SUCCESS); 278 279 PetscCall(PetscFree(*ia)); 280 PetscCall(PetscFree(*ja)); 281 PetscFunctionReturn(PETSC_SUCCESS); 282 } 283 284 /* 285 MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from 286 MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output 287 spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ() 288 */ 289 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *nn, const PetscInt *ia[], const PetscInt *ja[], PetscInt *spidx[], PetscBool *done) 290 { 291 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 292 PetscInt i, *collengths, *cia, *cja, n = A->cmap->n, m = A->rmap->n; 293 PetscInt nz = a->i[m], row, mr, col, tmp; 294 PetscInt *cspidx; 295 const PetscInt *jj; 296 297 PetscFunctionBegin; 298 *nn = n; 299 if (!ia) PetscFunctionReturn(PETSC_SUCCESS); 300 301 PetscCall(PetscCalloc1(n, &collengths)); 302 PetscCall(PetscMalloc1(n + 1, &cia)); 303 PetscCall(PetscMalloc1(nz, &cja)); 304 PetscCall(PetscMalloc1(nz, &cspidx)); 305 jj = a->j; 306 for (i = 0; i < nz; i++) collengths[jj[i]]++; 307 cia[0] = oshift; 308 for (i = 0; i < n; i++) cia[i + 1] = cia[i] + collengths[i]; 309 PetscCall(PetscArrayzero(collengths, n)); 310 jj = a->j; 311 for (row = 0; row < m; row++) { 312 mr = a->i[row + 1] - a->i[row]; 313 for (i = 0; i < mr; i++) { 314 col = *jj++; 315 tmp = cia[col] + collengths[col]++ - oshift; 316 cspidx[tmp] = a->i[row] + i; /* index of a->j */ 317 cja[tmp] = row + oshift; 318 } 319 } 320 PetscCall(PetscFree(collengths)); 321 *ia = cia; 322 *ja = cja; 323 *spidx = cspidx; 324 PetscFunctionReturn(PETSC_SUCCESS); 325 } 326 327 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A, PetscInt oshift, PetscBool symmetric, PetscBool inodecompressed, PetscInt *n, const PetscInt *ia[], const PetscInt *ja[], PetscInt *spidx[], PetscBool *done) 328 { 329 PetscFunctionBegin; 330 PetscCall(MatRestoreColumnIJ_SeqAIJ(A, oshift, symmetric, inodecompressed, n, ia, ja, done)); 331 PetscCall(PetscFree(*spidx)); 332 PetscFunctionReturn(PETSC_SUCCESS); 333 } 334 335 static PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A, PetscInt row, const PetscScalar v[]) 336 { 337 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 338 PetscInt *ai = a->i; 339 PetscScalar *aa; 340 341 PetscFunctionBegin; 342 PetscCall(MatSeqAIJGetArray(A, &aa)); 343 PetscCall(PetscArraycpy(aa + ai[row], v, ai[row + 1] - ai[row])); 344 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 345 PetscFunctionReturn(PETSC_SUCCESS); 346 } 347 348 /* 349 MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions 350 351 - a single row of values is set with each call 352 - no row or column indices are negative or (in error) larger than the number of rows or columns 353 - the values are always added to the matrix, not set 354 - no new locations are introduced in the nonzero structure of the matrix 355 356 This does NOT assume the global column indices are sorted 357 358 */ 359 360 #include <petsc/private/isimpl.h> 361 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is) 362 { 363 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 364 PetscInt low, high, t, row, nrow, i, col, l; 365 const PetscInt *rp, *ai = a->i, *ailen = a->ilen, *aj = a->j; 366 PetscInt lastcol = -1; 367 MatScalar *ap, value, *aa; 368 const PetscInt *ridx = A->rmap->mapping->indices, *cidx = A->cmap->mapping->indices; 369 370 PetscFunctionBegin; 371 PetscCall(MatSeqAIJGetArray(A, &aa)); 372 row = ridx[im[0]]; 373 rp = aj + ai[row]; 374 ap = aa + ai[row]; 375 nrow = ailen[row]; 376 low = 0; 377 high = nrow; 378 for (l = 0; l < n; l++) { /* loop over added columns */ 379 col = cidx[in[l]]; 380 value = v[l]; 381 382 if (col <= lastcol) low = 0; 383 else high = nrow; 384 lastcol = col; 385 while (high - low > 5) { 386 t = (low + high) / 2; 387 if (rp[t] > col) high = t; 388 else low = t; 389 } 390 for (i = low; i < high; i++) { 391 if (rp[i] == col) { 392 ap[i] += value; 393 low = i + 1; 394 break; 395 } 396 } 397 } 398 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 399 return PETSC_SUCCESS; 400 } 401 402 PetscErrorCode MatSetValues_SeqAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is) 403 { 404 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 405 PetscInt *rp, k, low, high, t, ii, row, nrow, i, col, l, rmax, N; 406 PetscInt *imax = a->imax, *ai = a->i, *ailen = a->ilen; 407 PetscInt *aj = a->j, nonew = a->nonew, lastcol = -1; 408 MatScalar *ap = NULL, value = 0.0, *aa; 409 PetscBool ignorezeroentries = a->ignorezeroentries; 410 PetscBool roworiented = a->roworiented; 411 412 PetscFunctionBegin; 413 PetscCall(MatSeqAIJGetArray(A, &aa)); 414 for (k = 0; k < m; k++) { /* loop over added rows */ 415 row = im[k]; 416 if (row < 0) continue; 417 PetscCheck(row < A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large: row %" PetscInt_FMT " max %" PetscInt_FMT, row, A->rmap->n - 1); 418 rp = PetscSafePointerPlusOffset(aj, ai[row]); 419 if (!A->structure_only) ap = PetscSafePointerPlusOffset(aa, ai[row]); 420 rmax = imax[row]; 421 nrow = ailen[row]; 422 low = 0; 423 high = nrow; 424 for (l = 0; l < n; l++) { /* loop over added columns */ 425 if (in[l] < 0) continue; 426 PetscCheck(in[l] < A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large: col %" PetscInt_FMT " max %" PetscInt_FMT, in[l], A->cmap->n - 1); 427 col = in[l]; 428 if (v && !A->structure_only) value = roworiented ? v[l + k * n] : v[k + l * m]; 429 if (!A->structure_only && value == 0.0 && ignorezeroentries && is == ADD_VALUES && row != col) continue; 430 431 if (col <= lastcol) low = 0; 432 else high = nrow; 433 lastcol = col; 434 while (high - low > 5) { 435 t = (low + high) / 2; 436 if (rp[t] > col) high = t; 437 else low = t; 438 } 439 for (i = low; i < high; i++) { 440 if (rp[i] > col) break; 441 if (rp[i] == col) { 442 if (!A->structure_only) { 443 if (is == ADD_VALUES) { 444 ap[i] += value; 445 (void)PetscLogFlops(1.0); 446 } else ap[i] = value; 447 } 448 low = i + 1; 449 goto noinsert; 450 } 451 } 452 if (value == 0.0 && ignorezeroentries && row != col) goto noinsert; 453 if (nonew == 1) goto noinsert; 454 PetscCheck(nonew != -1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Inserting a new nonzero at (%" PetscInt_FMT ",%" PetscInt_FMT ") in the matrix", row, col); 455 if (A->structure_only) { 456 MatSeqXAIJReallocateAIJ_structure_only(A, A->rmap->n, 1, nrow, row, col, rmax, ai, aj, rp, imax, nonew, MatScalar); 457 } else { 458 MatSeqXAIJReallocateAIJ(A, A->rmap->n, 1, nrow, row, col, rmax, aa, ai, aj, rp, ap, imax, nonew, MatScalar); 459 } 460 N = nrow++ - 1; 461 a->nz++; 462 high++; 463 /* shift up all the later entries in this row */ 464 PetscCall(PetscArraymove(rp + i + 1, rp + i, N - i + 1)); 465 rp[i] = col; 466 if (!A->structure_only) { 467 PetscCall(PetscArraymove(ap + i + 1, ap + i, N - i + 1)); 468 ap[i] = value; 469 } 470 low = i + 1; 471 noinsert:; 472 } 473 ailen[row] = nrow; 474 } 475 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 476 PetscFunctionReturn(PETSC_SUCCESS); 477 } 478 479 static PetscErrorCode MatSetValues_SeqAIJ_SortedFullNoPreallocation(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is) 480 { 481 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 482 PetscInt *rp, k, row; 483 PetscInt *ai = a->i; 484 PetscInt *aj = a->j; 485 MatScalar *aa, *ap; 486 487 PetscFunctionBegin; 488 PetscCheck(!A->was_assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Cannot call on assembled matrix."); 489 PetscCheck(m * n + a->nz <= a->maxnz, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Number of entries in matrix will be larger than maximum nonzeros allocated for %" PetscInt_FMT " in MatSeqAIJSetTotalPreallocation()", a->maxnz); 490 491 PetscCall(MatSeqAIJGetArray(A, &aa)); 492 for (k = 0; k < m; k++) { /* loop over added rows */ 493 row = im[k]; 494 rp = aj + ai[row]; 495 ap = PetscSafePointerPlusOffset(aa, ai[row]); 496 497 PetscCall(PetscMemcpy(rp, in, n * sizeof(PetscInt))); 498 if (!A->structure_only) { 499 if (v) { 500 PetscCall(PetscMemcpy(ap, v, n * sizeof(PetscScalar))); 501 v += n; 502 } else { 503 PetscCall(PetscMemzero(ap, n * sizeof(PetscScalar))); 504 } 505 } 506 a->ilen[row] = n; 507 a->imax[row] = n; 508 a->i[row + 1] = a->i[row] + n; 509 a->nz += n; 510 } 511 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 512 PetscFunctionReturn(PETSC_SUCCESS); 513 } 514 515 /*@ 516 MatSeqAIJSetTotalPreallocation - Sets an upper bound on the total number of expected nonzeros in the matrix. 517 518 Input Parameters: 519 + A - the `MATSEQAIJ` matrix 520 - nztotal - bound on the number of nonzeros 521 522 Level: advanced 523 524 Notes: 525 This can be called if you will be provided the matrix row by row (from row zero) with sorted column indices for each row. 526 Simply call `MatSetValues()` after this call to provide the matrix entries in the usual manner. This matrix may be used 527 as always with multiple matrix assemblies. 528 529 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`, `MAT_SORTED_FULL`, `MatSetValues()`, `MatSeqAIJSetPreallocation()` 530 @*/ 531 PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat A, PetscInt nztotal) 532 { 533 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 534 535 PetscFunctionBegin; 536 PetscCall(PetscLayoutSetUp(A->rmap)); 537 PetscCall(PetscLayoutSetUp(A->cmap)); 538 a->maxnz = nztotal; 539 if (!a->imax) PetscCall(PetscMalloc1(A->rmap->n, &a->imax)); 540 if (!a->ilen) { 541 PetscCall(PetscMalloc1(A->rmap->n, &a->ilen)); 542 } else { 543 PetscCall(PetscMemzero(a->ilen, A->rmap->n * sizeof(PetscInt))); 544 } 545 546 /* allocate the matrix space */ 547 PetscCall(PetscShmgetAllocateArray(A->rmap->n + 1, sizeof(PetscInt), (void **)&a->i)); 548 PetscCall(PetscShmgetAllocateArray(nztotal, sizeof(PetscInt), (void **)&a->j)); 549 a->free_ij = PETSC_TRUE; 550 if (A->structure_only) { 551 a->free_a = PETSC_FALSE; 552 } else { 553 PetscCall(PetscShmgetAllocateArray(nztotal, sizeof(PetscScalar), (void **)&a->a)); 554 a->free_a = PETSC_TRUE; 555 } 556 a->i[0] = 0; 557 A->ops->setvalues = MatSetValues_SeqAIJ_SortedFullNoPreallocation; 558 A->preallocated = PETSC_TRUE; 559 PetscFunctionReturn(PETSC_SUCCESS); 560 } 561 562 static PetscErrorCode MatSetValues_SeqAIJ_SortedFull(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], const PetscScalar v[], InsertMode is) 563 { 564 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 565 PetscInt *rp, k, row; 566 PetscInt *ai = a->i, *ailen = a->ilen; 567 PetscInt *aj = a->j; 568 MatScalar *aa, *ap; 569 570 PetscFunctionBegin; 571 PetscCall(MatSeqAIJGetArray(A, &aa)); 572 for (k = 0; k < m; k++) { /* loop over added rows */ 573 row = im[k]; 574 PetscCheck(n <= a->imax[row], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Preallocation for row %" PetscInt_FMT " does not match number of columns provided", n); 575 rp = aj + ai[row]; 576 ap = aa + ai[row]; 577 if (!A->was_assembled) PetscCall(PetscMemcpy(rp, in, n * sizeof(PetscInt))); 578 if (!A->structure_only) { 579 if (v) { 580 PetscCall(PetscMemcpy(ap, v, n * sizeof(PetscScalar))); 581 v += n; 582 } else { 583 PetscCall(PetscMemzero(ap, n * sizeof(PetscScalar))); 584 } 585 } 586 ailen[row] = n; 587 a->nz += n; 588 } 589 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 590 PetscFunctionReturn(PETSC_SUCCESS); 591 } 592 593 static PetscErrorCode MatGetValues_SeqAIJ(Mat A, PetscInt m, const PetscInt im[], PetscInt n, const PetscInt in[], PetscScalar v[]) 594 { 595 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 596 PetscInt *rp, k, low, high, t, row, nrow, i, col, l, *aj = a->j; 597 PetscInt *ai = a->i, *ailen = a->ilen; 598 const MatScalar *ap, *aa; 599 600 PetscFunctionBegin; 601 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 602 for (k = 0; k < m; k++) { /* loop over rows */ 603 row = im[k]; 604 if (row < 0) { 605 v += n; 606 continue; 607 } /* negative row */ 608 PetscCheck(row < A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row too large: row %" PetscInt_FMT " max %" PetscInt_FMT, row, A->rmap->n - 1); 609 rp = PetscSafePointerPlusOffset(aj, ai[row]); 610 ap = PetscSafePointerPlusOffset(aa, ai[row]); 611 nrow = ailen[row]; 612 for (l = 0; l < n; l++) { /* loop over columns */ 613 if (in[l] < 0) { 614 v++; 615 continue; 616 } /* negative column */ 617 PetscCheck(in[l] < A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column too large: col %" PetscInt_FMT " max %" PetscInt_FMT, in[l], A->cmap->n - 1); 618 col = in[l]; 619 high = nrow; 620 low = 0; /* assume unsorted */ 621 while (high - low > 5) { 622 t = (low + high) / 2; 623 if (rp[t] > col) high = t; 624 else low = t; 625 } 626 for (i = low; i < high; i++) { 627 if (rp[i] > col) break; 628 if (rp[i] == col) { 629 *v++ = ap[i]; 630 goto finished; 631 } 632 } 633 *v++ = 0.0; 634 finished:; 635 } 636 } 637 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 638 PetscFunctionReturn(PETSC_SUCCESS); 639 } 640 641 static PetscErrorCode MatView_SeqAIJ_Binary(Mat mat, PetscViewer viewer) 642 { 643 Mat_SeqAIJ *A = (Mat_SeqAIJ *)mat->data; 644 const PetscScalar *av; 645 PetscInt header[4], M, N, m, nz, i; 646 PetscInt *rowlens; 647 648 PetscFunctionBegin; 649 PetscCall(PetscViewerSetUp(viewer)); 650 651 M = mat->rmap->N; 652 N = mat->cmap->N; 653 m = mat->rmap->n; 654 nz = A->nz; 655 656 /* write matrix header */ 657 header[0] = MAT_FILE_CLASSID; 658 header[1] = M; 659 header[2] = N; 660 header[3] = nz; 661 PetscCall(PetscViewerBinaryWrite(viewer, header, 4, PETSC_INT)); 662 663 /* fill in and store row lengths */ 664 PetscCall(PetscMalloc1(m, &rowlens)); 665 for (i = 0; i < m; i++) rowlens[i] = A->i[i + 1] - A->i[i]; 666 if (PetscDefined(USE_DEBUG)) { 667 PetscInt mnz = 0; 668 669 for (i = 0; i < m; i++) mnz += rowlens[i]; 670 PetscCheck(nz == mnz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Row lens %" PetscInt_FMT " do not sum to nz %" PetscInt_FMT, mnz, nz); 671 } 672 PetscCall(PetscViewerBinaryWrite(viewer, rowlens, m, PETSC_INT)); 673 PetscCall(PetscFree(rowlens)); 674 /* store column indices */ 675 PetscCall(PetscViewerBinaryWrite(viewer, A->j, nz, PETSC_INT)); 676 /* store nonzero values */ 677 PetscCall(MatSeqAIJGetArrayRead(mat, &av)); 678 PetscCall(PetscViewerBinaryWrite(viewer, av, nz, PETSC_SCALAR)); 679 PetscCall(MatSeqAIJRestoreArrayRead(mat, &av)); 680 681 /* write block size option to the viewer's .info file */ 682 PetscCall(MatView_Binary_BlockSizes(mat, viewer)); 683 PetscFunctionReturn(PETSC_SUCCESS); 684 } 685 686 static PetscErrorCode MatView_SeqAIJ_ASCII_structonly(Mat A, PetscViewer viewer) 687 { 688 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 689 PetscInt i, k, m = A->rmap->N; 690 691 PetscFunctionBegin; 692 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 693 for (i = 0; i < m; i++) { 694 PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i)); 695 for (k = a->i[i]; k < a->i[i + 1]; k++) PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ") ", a->j[k])); 696 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 697 } 698 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 699 PetscFunctionReturn(PETSC_SUCCESS); 700 } 701 702 static PetscErrorCode MatView_SeqAIJ_ASCII(Mat A, PetscViewer viewer) 703 { 704 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 705 const PetscScalar *av; 706 PetscInt i, j, m = A->rmap->n; 707 const char *name; 708 PetscViewerFormat format; 709 710 PetscFunctionBegin; 711 if (A->structure_only) { 712 PetscCall(MatView_SeqAIJ_ASCII_structonly(A, viewer)); 713 PetscFunctionReturn(PETSC_SUCCESS); 714 } 715 716 PetscCall(PetscViewerGetFormat(viewer, &format)); 717 // By petsc's rule, even PETSC_VIEWER_ASCII_INFO_DETAIL doesn't print matrix entries 718 if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) PetscFunctionReturn(PETSC_SUCCESS); 719 720 /* trigger copy to CPU if needed */ 721 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 722 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 723 if (format == PETSC_VIEWER_ASCII_MATLAB) { 724 PetscInt nofinalvalue = 0; 725 if (m && ((a->i[m] == a->i[m - 1]) || (a->j[a->nz - 1] != A->cmap->n - 1))) { 726 /* Need a dummy value to ensure the dimension of the matrix. */ 727 nofinalvalue = 1; 728 } 729 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 730 PetscCall(PetscViewerASCIIPrintf(viewer, "%% Size = %" PetscInt_FMT " %" PetscInt_FMT " \n", m, A->cmap->n)); 731 PetscCall(PetscViewerASCIIPrintf(viewer, "%% Nonzeros = %" PetscInt_FMT " \n", a->nz)); 732 #if defined(PETSC_USE_COMPLEX) 733 PetscCall(PetscViewerASCIIPrintf(viewer, "zzz = zeros(%" PetscInt_FMT ",4);\n", a->nz + nofinalvalue)); 734 #else 735 PetscCall(PetscViewerASCIIPrintf(viewer, "zzz = zeros(%" PetscInt_FMT ",3);\n", a->nz + nofinalvalue)); 736 #endif 737 PetscCall(PetscViewerASCIIPrintf(viewer, "zzz = [\n")); 738 739 for (i = 0; i < m; i++) { 740 for (j = a->i[i]; j < a->i[i + 1]; j++) { 741 #if defined(PETSC_USE_COMPLEX) 742 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %18.16e %18.16e\n", i + 1, a->j[j] + 1, (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 743 #else 744 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %18.16e\n", i + 1, a->j[j] + 1, (double)a->a[j])); 745 #endif 746 } 747 } 748 if (nofinalvalue) { 749 #if defined(PETSC_USE_COMPLEX) 750 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %18.16e %18.16e\n", m, A->cmap->n, 0., 0.)); 751 #else 752 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %18.16e\n", m, A->cmap->n, 0.0)); 753 #endif 754 } 755 PetscCall(PetscObjectGetName((PetscObject)A, &name)); 756 PetscCall(PetscViewerASCIIPrintf(viewer, "];\n %s = spconvert(zzz);\n", name)); 757 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 758 } else if (format == PETSC_VIEWER_ASCII_COMMON) { 759 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 760 for (i = 0; i < m; i++) { 761 PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i)); 762 for (j = a->i[i]; j < a->i[i + 1]; j++) { 763 #if defined(PETSC_USE_COMPLEX) 764 if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) { 765 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 766 } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) { 767 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)-PetscImaginaryPart(a->a[j]))); 768 } else if (PetscRealPart(a->a[j]) != 0.0) { 769 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)PetscRealPart(a->a[j]))); 770 } 771 #else 772 if (a->a[j] != 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)a->a[j])); 773 #endif 774 } 775 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 776 } 777 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 778 } else if (format == PETSC_VIEWER_ASCII_SYMMODU) { 779 PetscInt nzd = 0, fshift = 1, *sptr; 780 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 781 PetscCall(PetscMalloc1(m + 1, &sptr)); 782 for (i = 0; i < m; i++) { 783 sptr[i] = nzd + 1; 784 for (j = a->i[i]; j < a->i[i + 1]; j++) { 785 if (a->j[j] >= i) { 786 #if defined(PETSC_USE_COMPLEX) 787 if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++; 788 #else 789 if (a->a[j] != 0.0) nzd++; 790 #endif 791 } 792 } 793 } 794 sptr[m] = nzd + 1; 795 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT "\n\n", m, nzd)); 796 for (i = 0; i < m + 1; i += 6) { 797 if (i + 4 < m) { 798 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT "\n", sptr[i], sptr[i + 1], sptr[i + 2], sptr[i + 3], sptr[i + 4], sptr[i + 5])); 799 } else if (i + 3 < m) { 800 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT "\n", sptr[i], sptr[i + 1], sptr[i + 2], sptr[i + 3], sptr[i + 4])); 801 } else if (i + 2 < m) { 802 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT "\n", sptr[i], sptr[i + 1], sptr[i + 2], sptr[i + 3])); 803 } else if (i + 1 < m) { 804 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT "\n", sptr[i], sptr[i + 1], sptr[i + 2])); 805 } else if (i < m) { 806 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " %" PetscInt_FMT "\n", sptr[i], sptr[i + 1])); 807 } else { 808 PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT "\n", sptr[i])); 809 } 810 } 811 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 812 PetscCall(PetscFree(sptr)); 813 for (i = 0; i < m; i++) { 814 for (j = a->i[i]; j < a->i[i + 1]; j++) { 815 if (a->j[j] >= i) PetscCall(PetscViewerASCIIPrintf(viewer, " %" PetscInt_FMT " ", a->j[j] + fshift)); 816 } 817 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 818 } 819 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 820 for (i = 0; i < m; i++) { 821 for (j = a->i[i]; j < a->i[i + 1]; j++) { 822 if (a->j[j] >= i) { 823 #if defined(PETSC_USE_COMPLEX) 824 if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " %18.16e %18.16e ", (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 825 #else 826 if (a->a[j] != 0.0) PetscCall(PetscViewerASCIIPrintf(viewer, " %18.16e ", (double)a->a[j])); 827 #endif 828 } 829 } 830 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 831 } 832 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 833 } else if (format == PETSC_VIEWER_ASCII_DENSE) { 834 PetscInt cnt = 0, jcnt; 835 PetscScalar value; 836 #if defined(PETSC_USE_COMPLEX) 837 PetscBool realonly = PETSC_TRUE; 838 839 for (i = 0; i < a->i[m]; i++) { 840 if (PetscImaginaryPart(a->a[i]) != 0.0) { 841 realonly = PETSC_FALSE; 842 break; 843 } 844 } 845 #endif 846 847 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 848 for (i = 0; i < m; i++) { 849 jcnt = 0; 850 for (j = 0; j < A->cmap->n; j++) { 851 if (jcnt < a->i[i + 1] - a->i[i] && j == a->j[cnt]) { 852 value = a->a[cnt++]; 853 jcnt++; 854 } else { 855 value = 0.0; 856 } 857 #if defined(PETSC_USE_COMPLEX) 858 if (realonly) { 859 PetscCall(PetscViewerASCIIPrintf(viewer, " %7.5e ", (double)PetscRealPart(value))); 860 } else { 861 PetscCall(PetscViewerASCIIPrintf(viewer, " %7.5e+%7.5e i ", (double)PetscRealPart(value), (double)PetscImaginaryPart(value))); 862 } 863 #else 864 PetscCall(PetscViewerASCIIPrintf(viewer, " %7.5e ", (double)value)); 865 #endif 866 } 867 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 868 } 869 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 870 } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) { 871 PetscInt fshift = 1; 872 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 873 #if defined(PETSC_USE_COMPLEX) 874 PetscCall(PetscViewerASCIIPrintf(viewer, "%%%%MatrixMarket matrix coordinate complex general\n")); 875 #else 876 PetscCall(PetscViewerASCIIPrintf(viewer, "%%%%MatrixMarket matrix coordinate real general\n")); 877 #endif 878 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %" PetscInt_FMT "\n", m, A->cmap->n, a->nz)); 879 for (i = 0; i < m; i++) { 880 for (j = a->i[i]; j < a->i[i + 1]; j++) { 881 #if defined(PETSC_USE_COMPLEX) 882 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %g %g\n", i + fshift, a->j[j] + fshift, (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 883 #else 884 PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " %" PetscInt_FMT " %g\n", i + fshift, a->j[j] + fshift, (double)a->a[j])); 885 #endif 886 } 887 } 888 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 889 } else { 890 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_FALSE)); 891 if (A->factortype) { 892 for (i = 0; i < m; i++) { 893 PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i)); 894 /* L part */ 895 for (j = a->i[i]; j < a->i[i + 1]; j++) { 896 #if defined(PETSC_USE_COMPLEX) 897 if (PetscImaginaryPart(a->a[j]) > 0.0) { 898 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 899 } else if (PetscImaginaryPart(a->a[j]) < 0.0) { 900 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)(-PetscImaginaryPart(a->a[j])))); 901 } else { 902 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)PetscRealPart(a->a[j]))); 903 } 904 #else 905 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)a->a[j])); 906 #endif 907 } 908 /* diagonal */ 909 j = a->diag[i]; 910 #if defined(PETSC_USE_COMPLEX) 911 if (PetscImaginaryPart(a->a[j]) > 0.0) { 912 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i)", a->j[j], (double)PetscRealPart(1 / a->a[j]), (double)PetscImaginaryPart(1 / a->a[j]))); 913 } else if (PetscImaginaryPart(a->a[j]) < 0.0) { 914 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i)", a->j[j], (double)PetscRealPart(1 / a->a[j]), (double)(-PetscImaginaryPart(1 / a->a[j])))); 915 } else { 916 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)PetscRealPart(1 / a->a[j]))); 917 } 918 #else 919 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)(1 / a->a[j]))); 920 #endif 921 922 /* U part */ 923 for (j = a->diag[i + 1] + 1; j < a->diag[i]; j++) { 924 #if defined(PETSC_USE_COMPLEX) 925 if (PetscImaginaryPart(a->a[j]) > 0.0) { 926 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 927 } else if (PetscImaginaryPart(a->a[j]) < 0.0) { 928 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)(-PetscImaginaryPart(a->a[j])))); 929 } else { 930 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)PetscRealPart(a->a[j]))); 931 } 932 #else 933 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)a->a[j])); 934 #endif 935 } 936 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 937 } 938 } else { 939 for (i = 0; i < m; i++) { 940 PetscCall(PetscViewerASCIIPrintf(viewer, "row %" PetscInt_FMT ":", i)); 941 for (j = a->i[i]; j < a->i[i + 1]; j++) { 942 #if defined(PETSC_USE_COMPLEX) 943 if (PetscImaginaryPart(a->a[j]) > 0.0) { 944 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g + %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)PetscImaginaryPart(a->a[j]))); 945 } else if (PetscImaginaryPart(a->a[j]) < 0.0) { 946 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g - %g i)", a->j[j], (double)PetscRealPart(a->a[j]), (double)-PetscImaginaryPart(a->a[j]))); 947 } else { 948 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)PetscRealPart(a->a[j]))); 949 } 950 #else 951 PetscCall(PetscViewerASCIIPrintf(viewer, " (%" PetscInt_FMT ", %g) ", a->j[j], (double)a->a[j])); 952 #endif 953 } 954 PetscCall(PetscViewerASCIIPrintf(viewer, "\n")); 955 } 956 } 957 PetscCall(PetscViewerASCIIUseTabs(viewer, PETSC_TRUE)); 958 } 959 PetscCall(PetscViewerFlush(viewer)); 960 PetscFunctionReturn(PETSC_SUCCESS); 961 } 962 963 #include <petscdraw.h> 964 static PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw, void *Aa) 965 { 966 Mat A = (Mat)Aa; 967 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 968 PetscInt i, j, m = A->rmap->n; 969 int color; 970 PetscReal xl, yl, xr, yr, x_l, x_r, y_l, y_r; 971 PetscViewer viewer; 972 PetscViewerFormat format; 973 const PetscScalar *aa; 974 975 PetscFunctionBegin; 976 PetscCall(PetscObjectQuery((PetscObject)A, "Zoomviewer", (PetscObject *)&viewer)); 977 PetscCall(PetscViewerGetFormat(viewer, &format)); 978 PetscCall(PetscDrawGetCoordinates(draw, &xl, &yl, &xr, &yr)); 979 980 /* loop over matrix elements drawing boxes */ 981 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 982 if (format != PETSC_VIEWER_DRAW_CONTOUR) { 983 PetscDrawCollectiveBegin(draw); 984 /* Blue for negative, Cyan for zero and Red for positive */ 985 color = PETSC_DRAW_BLUE; 986 for (i = 0; i < m; i++) { 987 y_l = m - i - 1.0; 988 y_r = y_l + 1.0; 989 for (j = a->i[i]; j < a->i[i + 1]; j++) { 990 x_l = a->j[j]; 991 x_r = x_l + 1.0; 992 if (PetscRealPart(aa[j]) >= 0.) continue; 993 PetscCall(PetscDrawRectangle(draw, x_l, y_l, x_r, y_r, color, color, color, color)); 994 } 995 } 996 color = PETSC_DRAW_CYAN; 997 for (i = 0; i < m; i++) { 998 y_l = m - i - 1.0; 999 y_r = y_l + 1.0; 1000 for (j = a->i[i]; j < a->i[i + 1]; j++) { 1001 x_l = a->j[j]; 1002 x_r = x_l + 1.0; 1003 if (aa[j] != 0.) continue; 1004 PetscCall(PetscDrawRectangle(draw, x_l, y_l, x_r, y_r, color, color, color, color)); 1005 } 1006 } 1007 color = PETSC_DRAW_RED; 1008 for (i = 0; i < m; i++) { 1009 y_l = m - i - 1.0; 1010 y_r = y_l + 1.0; 1011 for (j = a->i[i]; j < a->i[i + 1]; j++) { 1012 x_l = a->j[j]; 1013 x_r = x_l + 1.0; 1014 if (PetscRealPart(aa[j]) <= 0.) continue; 1015 PetscCall(PetscDrawRectangle(draw, x_l, y_l, x_r, y_r, color, color, color, color)); 1016 } 1017 } 1018 PetscDrawCollectiveEnd(draw); 1019 } else { 1020 /* use contour shading to indicate magnitude of values */ 1021 /* first determine max of all nonzero values */ 1022 PetscReal minv = 0.0, maxv = 0.0; 1023 PetscInt nz = a->nz, count = 0; 1024 PetscDraw popup; 1025 1026 for (i = 0; i < nz; i++) { 1027 if (PetscAbsScalar(aa[i]) > maxv) maxv = PetscAbsScalar(aa[i]); 1028 } 1029 if (minv >= maxv) maxv = minv + PETSC_SMALL; 1030 PetscCall(PetscDrawGetPopup(draw, &popup)); 1031 PetscCall(PetscDrawScalePopup(popup, minv, maxv)); 1032 1033 PetscDrawCollectiveBegin(draw); 1034 for (i = 0; i < m; i++) { 1035 y_l = m - i - 1.0; 1036 y_r = y_l + 1.0; 1037 for (j = a->i[i]; j < a->i[i + 1]; j++) { 1038 x_l = a->j[j]; 1039 x_r = x_l + 1.0; 1040 color = PetscDrawRealToColor(PetscAbsScalar(aa[count]), minv, maxv); 1041 PetscCall(PetscDrawRectangle(draw, x_l, y_l, x_r, y_r, color, color, color, color)); 1042 count++; 1043 } 1044 } 1045 PetscDrawCollectiveEnd(draw); 1046 } 1047 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 1048 PetscFunctionReturn(PETSC_SUCCESS); 1049 } 1050 1051 #include <petscdraw.h> 1052 static PetscErrorCode MatView_SeqAIJ_Draw(Mat A, PetscViewer viewer) 1053 { 1054 PetscDraw draw; 1055 PetscReal xr, yr, xl, yl, h, w; 1056 PetscBool isnull; 1057 1058 PetscFunctionBegin; 1059 PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw)); 1060 PetscCall(PetscDrawIsNull(draw, &isnull)); 1061 if (isnull) PetscFunctionReturn(PETSC_SUCCESS); 1062 1063 xr = A->cmap->n; 1064 yr = A->rmap->n; 1065 h = yr / 10.0; 1066 w = xr / 10.0; 1067 xr += w; 1068 yr += h; 1069 xl = -w; 1070 yl = -h; 1071 PetscCall(PetscDrawSetCoordinates(draw, xl, yl, xr, yr)); 1072 PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", (PetscObject)viewer)); 1073 PetscCall(PetscDrawZoom(draw, MatView_SeqAIJ_Draw_Zoom, A)); 1074 PetscCall(PetscObjectCompose((PetscObject)A, "Zoomviewer", NULL)); 1075 PetscCall(PetscDrawSave(draw)); 1076 PetscFunctionReturn(PETSC_SUCCESS); 1077 } 1078 1079 PetscErrorCode MatView_SeqAIJ(Mat A, PetscViewer viewer) 1080 { 1081 PetscBool isascii, isbinary, isdraw; 1082 1083 PetscFunctionBegin; 1084 PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii)); 1085 PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary)); 1086 PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw)); 1087 if (isascii) PetscCall(MatView_SeqAIJ_ASCII(A, viewer)); 1088 else if (isbinary) PetscCall(MatView_SeqAIJ_Binary(A, viewer)); 1089 else if (isdraw) PetscCall(MatView_SeqAIJ_Draw(A, viewer)); 1090 PetscCall(MatView_SeqAIJ_Inode(A, viewer)); 1091 PetscFunctionReturn(PETSC_SUCCESS); 1092 } 1093 1094 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A, MatAssemblyType mode) 1095 { 1096 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1097 PetscInt fshift = 0, i, *ai = a->i, *aj = a->j, *imax = a->imax; 1098 PetscInt m = A->rmap->n, *ip, N, *ailen = a->ilen, rmax = 0, n; 1099 MatScalar *aa = a->a, *ap; 1100 PetscReal ratio = 0.6; 1101 1102 PetscFunctionBegin; 1103 if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(PETSC_SUCCESS); 1104 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 1105 if (A->was_assembled && A->ass_nonzerostate == A->nonzerostate) { 1106 /* we need to respect users asking to use or not the inodes routine in between matrix assemblies, e.g., via MatSetOption(A, MAT_USE_INODES, val) */ 1107 PetscCall(MatAssemblyEnd_SeqAIJ_Inode(A, mode)); /* read the sparsity pattern */ 1108 PetscFunctionReturn(PETSC_SUCCESS); 1109 } 1110 1111 if (m) rmax = ailen[0]; /* determine row with most nonzeros */ 1112 for (i = 1; i < m; i++) { 1113 /* move each row back by the amount of empty slots (fshift) before it*/ 1114 fshift += imax[i - 1] - ailen[i - 1]; 1115 rmax = PetscMax(rmax, ailen[i]); 1116 if (fshift) { 1117 ip = aj + ai[i]; 1118 ap = aa + ai[i]; 1119 N = ailen[i]; 1120 PetscCall(PetscArraymove(ip - fshift, ip, N)); 1121 if (!A->structure_only) PetscCall(PetscArraymove(ap - fshift, ap, N)); 1122 } 1123 ai[i] = ai[i - 1] + ailen[i - 1]; 1124 } 1125 if (m) { 1126 fshift += imax[m - 1] - ailen[m - 1]; 1127 ai[m] = ai[m - 1] + ailen[m - 1]; 1128 } 1129 /* reset ilen and imax for each row */ 1130 a->nonzerorowcnt = 0; 1131 if (A->structure_only) { 1132 PetscCall(PetscFree(a->imax)); 1133 PetscCall(PetscFree(a->ilen)); 1134 } else { /* !A->structure_only */ 1135 for (i = 0; i < m; i++) { 1136 ailen[i] = imax[i] = ai[i + 1] - ai[i]; 1137 a->nonzerorowcnt += ((ai[i + 1] - ai[i]) > 0); 1138 } 1139 } 1140 a->nz = ai[m]; 1141 PetscCheck(!fshift || a->nounused != -1, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unused space detected in matrix: %" PetscInt_FMT " X %" PetscInt_FMT ", %" PetscInt_FMT " unneeded", m, A->cmap->n, fshift); 1142 PetscCall(MatMarkDiagonal_SeqAIJ(A)); // since diagonal info is used a lot, it is helpful to set them up at the end of assembly 1143 a->diagonaldense = PETSC_TRUE; 1144 n = PetscMin(A->rmap->n, A->cmap->n); 1145 for (i = 0; i < n; i++) { 1146 if (a->diag[i] >= ai[i + 1]) { 1147 a->diagonaldense = PETSC_FALSE; 1148 break; 1149 } 1150 } 1151 PetscCall(PetscInfo(A, "Matrix size: %" PetscInt_FMT " X %" PetscInt_FMT "; storage space: %" PetscInt_FMT " unneeded,%" PetscInt_FMT " used\n", m, A->cmap->n, fshift, a->nz)); 1152 PetscCall(PetscInfo(A, "Number of mallocs during MatSetValues() is %" PetscInt_FMT "\n", a->reallocs)); 1153 PetscCall(PetscInfo(A, "Maximum nonzeros in any row is %" PetscInt_FMT "\n", rmax)); 1154 1155 A->info.mallocs += a->reallocs; 1156 a->reallocs = 0; 1157 A->info.nz_unneeded = (PetscReal)fshift; 1158 a->rmax = rmax; 1159 1160 if (!A->structure_only) PetscCall(MatCheckCompressedRow(A, a->nonzerorowcnt, &a->compressedrow, a->i, m, ratio)); 1161 PetscCall(MatAssemblyEnd_SeqAIJ_Inode(A, mode)); 1162 PetscFunctionReturn(PETSC_SUCCESS); 1163 } 1164 1165 static PetscErrorCode MatRealPart_SeqAIJ(Mat A) 1166 { 1167 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1168 PetscInt i, nz = a->nz; 1169 MatScalar *aa; 1170 1171 PetscFunctionBegin; 1172 PetscCall(MatSeqAIJGetArray(A, &aa)); 1173 for (i = 0; i < nz; i++) aa[i] = PetscRealPart(aa[i]); 1174 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 1175 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 1176 PetscFunctionReturn(PETSC_SUCCESS); 1177 } 1178 1179 static PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A) 1180 { 1181 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1182 PetscInt i, nz = a->nz; 1183 MatScalar *aa; 1184 1185 PetscFunctionBegin; 1186 PetscCall(MatSeqAIJGetArray(A, &aa)); 1187 for (i = 0; i < nz; i++) aa[i] = PetscImaginaryPart(aa[i]); 1188 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 1189 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 1190 PetscFunctionReturn(PETSC_SUCCESS); 1191 } 1192 1193 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A) 1194 { 1195 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1196 MatScalar *aa; 1197 1198 PetscFunctionBegin; 1199 PetscCall(MatSeqAIJGetArrayWrite(A, &aa)); 1200 PetscCall(PetscArrayzero(aa, a->i[A->rmap->n])); 1201 PetscCall(MatSeqAIJRestoreArrayWrite(A, &aa)); 1202 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 1203 PetscFunctionReturn(PETSC_SUCCESS); 1204 } 1205 1206 static PetscErrorCode MatReset_SeqAIJ(Mat A) 1207 { 1208 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1209 1210 PetscFunctionBegin; 1211 if (A->hash_active) { 1212 A->ops[0] = a->cops; 1213 PetscCall(PetscHMapIJVDestroy(&a->ht)); 1214 PetscCall(PetscFree(a->dnz)); 1215 A->hash_active = PETSC_FALSE; 1216 } 1217 1218 PetscCall(PetscLogObjectState((PetscObject)A, "Rows=%" PetscInt_FMT ", Cols=%" PetscInt_FMT ", NZ=%" PetscInt_FMT, A->rmap->n, A->cmap->n, a->nz)); 1219 PetscCall(MatSeqXAIJFreeAIJ(A, &a->a, &a->j, &a->i)); 1220 PetscCall(ISDestroy(&a->row)); 1221 PetscCall(ISDestroy(&a->col)); 1222 PetscCall(PetscFree(a->diag)); 1223 PetscCall(PetscFree(a->ibdiag)); 1224 PetscCall(PetscFree(a->imax)); 1225 PetscCall(PetscFree(a->ilen)); 1226 PetscCall(PetscFree(a->ipre)); 1227 PetscCall(PetscFree3(a->idiag, a->mdiag, a->ssor_work)); 1228 PetscCall(PetscFree(a->solve_work)); 1229 PetscCall(ISDestroy(&a->icol)); 1230 PetscCall(PetscFree(a->saved_values)); 1231 a->compressedrow.use = PETSC_FALSE; 1232 PetscCall(PetscFree2(a->compressedrow.i, a->compressedrow.rindex)); 1233 PetscCall(MatDestroy_SeqAIJ_Inode(A)); 1234 PetscFunctionReturn(PETSC_SUCCESS); 1235 } 1236 1237 static PetscErrorCode MatResetHash_SeqAIJ(Mat A) 1238 { 1239 PetscFunctionBegin; 1240 PetscCall(MatReset_SeqAIJ(A)); 1241 PetscCall(MatCreate_SeqAIJ_Inode(A)); 1242 PetscCall(MatSetUp_Seq_Hash(A)); 1243 A->nonzerostate++; 1244 PetscFunctionReturn(PETSC_SUCCESS); 1245 } 1246 1247 PetscErrorCode MatDestroy_SeqAIJ(Mat A) 1248 { 1249 PetscFunctionBegin; 1250 PetscCall(MatReset_SeqAIJ(A)); 1251 PetscCall(PetscFree(A->data)); 1252 1253 /* MatMatMultNumeric_SeqAIJ_SeqAIJ_Sorted may allocate this. 1254 That function is so heavily used (sometimes in an hidden way through multnumeric function pointers) 1255 that is hard to properly add this data to the MatProduct data. We free it here to avoid 1256 users reusing the matrix object with different data to incur in obscure segmentation faults 1257 due to different matrix sizes */ 1258 PetscCall(PetscObjectCompose((PetscObject)A, "__PETSc__ab_dense", NULL)); 1259 1260 PetscCall(PetscObjectChangeTypeName((PetscObject)A, NULL)); 1261 PetscCall(PetscObjectComposeFunction((PetscObject)A, "PetscMatlabEnginePut_C", NULL)); 1262 PetscCall(PetscObjectComposeFunction((PetscObject)A, "PetscMatlabEngineGet_C", NULL)); 1263 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqAIJSetColumnIndices_C", NULL)); 1264 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatStoreValues_C", NULL)); 1265 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatRetrieveValues_C", NULL)); 1266 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqsbaij_C", NULL)); 1267 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqbaij_C", NULL)); 1268 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijperm_C", NULL)); 1269 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijsell_C", NULL)); 1270 #if defined(PETSC_HAVE_MKL_SPARSE) 1271 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijmkl_C", NULL)); 1272 #endif 1273 #if defined(PETSC_HAVE_CUDA) 1274 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijcusparse_C", NULL)); 1275 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaijcusparse_seqaij_C", NULL)); 1276 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaij_seqaijcusparse_C", NULL)); 1277 #endif 1278 #if defined(PETSC_HAVE_HIP) 1279 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijhipsparse_C", NULL)); 1280 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaijhipsparse_seqaij_C", NULL)); 1281 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaij_seqaijhipsparse_C", NULL)); 1282 #endif 1283 #if defined(PETSC_HAVE_KOKKOS_KERNELS) 1284 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijkokkos_C", NULL)); 1285 #endif 1286 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijcrl_C", NULL)); 1287 #if defined(PETSC_HAVE_ELEMENTAL) 1288 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_elemental_C", NULL)); 1289 #endif 1290 #if defined(PETSC_HAVE_SCALAPACK) 1291 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_scalapack_C", NULL)); 1292 #endif 1293 #if defined(PETSC_HAVE_HYPRE) 1294 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_hypre_C", NULL)); 1295 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_transpose_seqaij_seqaij_C", NULL)); 1296 #endif 1297 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqdense_C", NULL)); 1298 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqsell_C", NULL)); 1299 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_is_C", NULL)); 1300 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatIsTranspose_C", NULL)); 1301 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatIsHermitianTranspose_C", NULL)); 1302 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqAIJSetPreallocation_C", NULL)); 1303 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatResetPreallocation_C", NULL)); 1304 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatResetHash_C", NULL)); 1305 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqAIJSetPreallocationCSR_C", NULL)); 1306 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatReorderForNonzeroDiagonal_C", NULL)); 1307 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_is_seqaij_C", NULL)); 1308 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqdense_seqaij_C", NULL)); 1309 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaij_seqaij_C", NULL)); 1310 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSeqAIJKron_C", NULL)); 1311 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSetPreallocationCOO_C", NULL)); 1312 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatSetValuesCOO_C", NULL)); 1313 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatFactorGetSolverType_C", NULL)); 1314 /* these calls do not belong here: the subclasses Duplicate/Destroy are wrong */ 1315 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaijsell_seqaij_C", NULL)); 1316 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaijperm_seqaij_C", NULL)); 1317 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatConvert_seqaij_seqaijviennacl_C", NULL)); 1318 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaijviennacl_seqdense_C", NULL)); 1319 PetscCall(PetscObjectComposeFunction((PetscObject)A, "MatProductSetFromOptions_seqaijviennacl_seqaij_C", NULL)); 1320 PetscFunctionReturn(PETSC_SUCCESS); 1321 } 1322 1323 PetscErrorCode MatSetOption_SeqAIJ(Mat A, MatOption op, PetscBool flg) 1324 { 1325 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1326 1327 PetscFunctionBegin; 1328 switch (op) { 1329 case MAT_ROW_ORIENTED: 1330 a->roworiented = flg; 1331 break; 1332 case MAT_KEEP_NONZERO_PATTERN: 1333 a->keepnonzeropattern = flg; 1334 break; 1335 case MAT_NEW_NONZERO_LOCATIONS: 1336 a->nonew = (flg ? 0 : 1); 1337 break; 1338 case MAT_NEW_NONZERO_LOCATION_ERR: 1339 a->nonew = (flg ? -1 : 0); 1340 break; 1341 case MAT_NEW_NONZERO_ALLOCATION_ERR: 1342 a->nonew = (flg ? -2 : 0); 1343 break; 1344 case MAT_UNUSED_NONZERO_LOCATION_ERR: 1345 a->nounused = (flg ? -1 : 0); 1346 break; 1347 case MAT_IGNORE_ZERO_ENTRIES: 1348 a->ignorezeroentries = flg; 1349 break; 1350 case MAT_USE_INODES: 1351 PetscCall(MatSetOption_SeqAIJ_Inode(A, MAT_USE_INODES, flg)); 1352 break; 1353 case MAT_SUBMAT_SINGLEIS: 1354 A->submat_singleis = flg; 1355 break; 1356 case MAT_SORTED_FULL: 1357 if (flg) A->ops->setvalues = MatSetValues_SeqAIJ_SortedFull; 1358 else A->ops->setvalues = MatSetValues_SeqAIJ; 1359 break; 1360 case MAT_FORM_EXPLICIT_TRANSPOSE: 1361 A->form_explicit_transpose = flg; 1362 break; 1363 default: 1364 break; 1365 } 1366 PetscFunctionReturn(PETSC_SUCCESS); 1367 } 1368 1369 static PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A, Vec v) 1370 { 1371 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1372 PetscInt i, j, n, *ai = a->i, *aj = a->j; 1373 PetscScalar *x; 1374 const PetscScalar *aa; 1375 1376 PetscFunctionBegin; 1377 PetscCall(VecGetLocalSize(v, &n)); 1378 PetscCheck(n == A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector"); 1379 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 1380 if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) { 1381 PetscInt *diag = a->diag; 1382 PetscCall(VecGetArrayWrite(v, &x)); 1383 for (i = 0; i < n; i++) x[i] = 1.0 / aa[diag[i]]; 1384 PetscCall(VecRestoreArrayWrite(v, &x)); 1385 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 1386 PetscFunctionReturn(PETSC_SUCCESS); 1387 } 1388 1389 PetscCall(VecGetArrayWrite(v, &x)); 1390 for (i = 0; i < n; i++) { 1391 x[i] = 0.0; 1392 for (j = ai[i]; j < ai[i + 1]; j++) { 1393 if (aj[j] == i) { 1394 x[i] = aa[j]; 1395 break; 1396 } 1397 } 1398 } 1399 PetscCall(VecRestoreArrayWrite(v, &x)); 1400 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 1401 PetscFunctionReturn(PETSC_SUCCESS); 1402 } 1403 1404 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h> 1405 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A, Vec xx, Vec zz, Vec yy) 1406 { 1407 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1408 const MatScalar *aa; 1409 PetscScalar *y; 1410 const PetscScalar *x; 1411 PetscInt m = A->rmap->n; 1412 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ) 1413 const MatScalar *v; 1414 PetscScalar alpha; 1415 PetscInt n, i, j; 1416 const PetscInt *idx, *ii, *ridx = NULL; 1417 Mat_CompressedRow cprow = a->compressedrow; 1418 PetscBool usecprow = cprow.use; 1419 #endif 1420 1421 PetscFunctionBegin; 1422 if (zz != yy) PetscCall(VecCopy(zz, yy)); 1423 PetscCall(VecGetArrayRead(xx, &x)); 1424 PetscCall(VecGetArray(yy, &y)); 1425 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 1426 1427 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ) 1428 fortranmulttransposeaddaij_(&m, x, a->i, a->j, aa, y); 1429 #else 1430 if (usecprow) { 1431 m = cprow.nrows; 1432 ii = cprow.i; 1433 ridx = cprow.rindex; 1434 } else { 1435 ii = a->i; 1436 } 1437 for (i = 0; i < m; i++) { 1438 idx = a->j + ii[i]; 1439 v = aa + ii[i]; 1440 n = ii[i + 1] - ii[i]; 1441 if (usecprow) { 1442 alpha = x[ridx[i]]; 1443 } else { 1444 alpha = x[i]; 1445 } 1446 for (j = 0; j < n; j++) y[idx[j]] += alpha * v[j]; 1447 } 1448 #endif 1449 PetscCall(PetscLogFlops(2.0 * a->nz)); 1450 PetscCall(VecRestoreArrayRead(xx, &x)); 1451 PetscCall(VecRestoreArray(yy, &y)); 1452 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 1453 PetscFunctionReturn(PETSC_SUCCESS); 1454 } 1455 1456 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A, Vec xx, Vec yy) 1457 { 1458 PetscFunctionBegin; 1459 PetscCall(VecSet(yy, 0.0)); 1460 PetscCall(MatMultTransposeAdd_SeqAIJ(A, xx, yy, yy)); 1461 PetscFunctionReturn(PETSC_SUCCESS); 1462 } 1463 1464 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h> 1465 1466 PetscErrorCode MatMult_SeqAIJ(Mat A, Vec xx, Vec yy) 1467 { 1468 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1469 PetscScalar *y; 1470 const PetscScalar *x; 1471 const MatScalar *a_a; 1472 PetscInt m = A->rmap->n; 1473 const PetscInt *ii, *ridx = NULL; 1474 PetscBool usecprow = a->compressedrow.use; 1475 1476 #if defined(PETSC_HAVE_PRAGMA_DISJOINT) 1477 #pragma disjoint(*x, *y, *aa) 1478 #endif 1479 1480 PetscFunctionBegin; 1481 if (a->inode.use && a->inode.checked) { 1482 PetscCall(MatMult_SeqAIJ_Inode(A, xx, yy)); 1483 PetscFunctionReturn(PETSC_SUCCESS); 1484 } 1485 PetscCall(MatSeqAIJGetArrayRead(A, &a_a)); 1486 PetscCall(VecGetArrayRead(xx, &x)); 1487 PetscCall(VecGetArray(yy, &y)); 1488 ii = a->i; 1489 if (usecprow) { /* use compressed row format */ 1490 PetscCall(PetscArrayzero(y, m)); 1491 m = a->compressedrow.nrows; 1492 ii = a->compressedrow.i; 1493 ridx = a->compressedrow.rindex; 1494 PetscPragmaUseOMPKernels(parallel for) 1495 for (PetscInt i = 0; i < m; i++) { 1496 PetscInt n = ii[i + 1] - ii[i]; 1497 const PetscInt *aj = a->j + ii[i]; 1498 const PetscScalar *aa = a_a + ii[i]; 1499 PetscScalar sum = 0.0; 1500 PetscSparseDensePlusDot(sum, x, aa, aj, n); 1501 /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */ 1502 y[ridx[i]] = sum; 1503 } 1504 } else { /* do not use compressed row format */ 1505 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ) 1506 fortranmultaij_(&m, x, ii, a->j, a_a, y); 1507 #else 1508 PetscPragmaUseOMPKernels(parallel for) 1509 for (PetscInt i = 0; i < m; i++) { 1510 PetscInt n = ii[i + 1] - ii[i]; 1511 const PetscInt *aj = a->j + ii[i]; 1512 const PetscScalar *aa = a_a + ii[i]; 1513 PetscScalar sum = 0.0; 1514 PetscSparseDensePlusDot(sum, x, aa, aj, n); 1515 y[i] = sum; 1516 } 1517 #endif 1518 } 1519 PetscCall(PetscLogFlops(2.0 * a->nz - a->nonzerorowcnt)); 1520 PetscCall(VecRestoreArrayRead(xx, &x)); 1521 PetscCall(VecRestoreArray(yy, &y)); 1522 PetscCall(MatSeqAIJRestoreArrayRead(A, &a_a)); 1523 PetscFunctionReturn(PETSC_SUCCESS); 1524 } 1525 1526 // HACK!!!!! Used by src/mat/tests/ex170.c 1527 PETSC_EXTERN PetscErrorCode MatMultMax_SeqAIJ(Mat A, Vec xx, Vec yy) 1528 { 1529 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1530 PetscScalar *y; 1531 const PetscScalar *x; 1532 const MatScalar *aa, *a_a; 1533 PetscInt m = A->rmap->n; 1534 const PetscInt *aj, *ii, *ridx = NULL; 1535 PetscInt n, i, nonzerorow = 0; 1536 PetscScalar sum; 1537 PetscBool usecprow = a->compressedrow.use; 1538 1539 #if defined(PETSC_HAVE_PRAGMA_DISJOINT) 1540 #pragma disjoint(*x, *y, *aa) 1541 #endif 1542 1543 PetscFunctionBegin; 1544 PetscCall(MatSeqAIJGetArrayRead(A, &a_a)); 1545 PetscCall(VecGetArrayRead(xx, &x)); 1546 PetscCall(VecGetArray(yy, &y)); 1547 if (usecprow) { /* use compressed row format */ 1548 m = a->compressedrow.nrows; 1549 ii = a->compressedrow.i; 1550 ridx = a->compressedrow.rindex; 1551 for (i = 0; i < m; i++) { 1552 n = ii[i + 1] - ii[i]; 1553 aj = a->j + ii[i]; 1554 aa = a_a + ii[i]; 1555 sum = 0.0; 1556 nonzerorow += (n > 0); 1557 PetscSparseDenseMaxDot(sum, x, aa, aj, n); 1558 /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */ 1559 y[*ridx++] = sum; 1560 } 1561 } else { /* do not use compressed row format */ 1562 ii = a->i; 1563 for (i = 0; i < m; i++) { 1564 n = ii[i + 1] - ii[i]; 1565 aj = a->j + ii[i]; 1566 aa = a_a + ii[i]; 1567 sum = 0.0; 1568 nonzerorow += (n > 0); 1569 PetscSparseDenseMaxDot(sum, x, aa, aj, n); 1570 y[i] = sum; 1571 } 1572 } 1573 PetscCall(PetscLogFlops(2.0 * a->nz - nonzerorow)); 1574 PetscCall(VecRestoreArrayRead(xx, &x)); 1575 PetscCall(VecRestoreArray(yy, &y)); 1576 PetscCall(MatSeqAIJRestoreArrayRead(A, &a_a)); 1577 PetscFunctionReturn(PETSC_SUCCESS); 1578 } 1579 1580 // HACK!!!!! Used by src/mat/tests/ex170.c 1581 PETSC_EXTERN PetscErrorCode MatMultAddMax_SeqAIJ(Mat A, Vec xx, Vec yy, Vec zz) 1582 { 1583 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1584 PetscScalar *y, *z; 1585 const PetscScalar *x; 1586 const MatScalar *aa, *a_a; 1587 PetscInt m = A->rmap->n, *aj, *ii; 1588 PetscInt n, i, *ridx = NULL; 1589 PetscScalar sum; 1590 PetscBool usecprow = a->compressedrow.use; 1591 1592 PetscFunctionBegin; 1593 PetscCall(MatSeqAIJGetArrayRead(A, &a_a)); 1594 PetscCall(VecGetArrayRead(xx, &x)); 1595 PetscCall(VecGetArrayPair(yy, zz, &y, &z)); 1596 if (usecprow) { /* use compressed row format */ 1597 if (zz != yy) PetscCall(PetscArraycpy(z, y, m)); 1598 m = a->compressedrow.nrows; 1599 ii = a->compressedrow.i; 1600 ridx = a->compressedrow.rindex; 1601 for (i = 0; i < m; i++) { 1602 n = ii[i + 1] - ii[i]; 1603 aj = a->j + ii[i]; 1604 aa = a_a + ii[i]; 1605 sum = y[*ridx]; 1606 PetscSparseDenseMaxDot(sum, x, aa, aj, n); 1607 z[*ridx++] = sum; 1608 } 1609 } else { /* do not use compressed row format */ 1610 ii = a->i; 1611 for (i = 0; i < m; i++) { 1612 n = ii[i + 1] - ii[i]; 1613 aj = a->j + ii[i]; 1614 aa = a_a + ii[i]; 1615 sum = y[i]; 1616 PetscSparseDenseMaxDot(sum, x, aa, aj, n); 1617 z[i] = sum; 1618 } 1619 } 1620 PetscCall(PetscLogFlops(2.0 * a->nz)); 1621 PetscCall(VecRestoreArrayRead(xx, &x)); 1622 PetscCall(VecRestoreArrayPair(yy, zz, &y, &z)); 1623 PetscCall(MatSeqAIJRestoreArrayRead(A, &a_a)); 1624 PetscFunctionReturn(PETSC_SUCCESS); 1625 } 1626 1627 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h> 1628 PetscErrorCode MatMultAdd_SeqAIJ(Mat A, Vec xx, Vec yy, Vec zz) 1629 { 1630 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1631 PetscScalar *y, *z; 1632 const PetscScalar *x; 1633 const MatScalar *a_a; 1634 const PetscInt *ii, *ridx = NULL; 1635 PetscInt m = A->rmap->n; 1636 PetscBool usecprow = a->compressedrow.use; 1637 1638 PetscFunctionBegin; 1639 if (a->inode.use && a->inode.checked) { 1640 PetscCall(MatMultAdd_SeqAIJ_Inode(A, xx, yy, zz)); 1641 PetscFunctionReturn(PETSC_SUCCESS); 1642 } 1643 PetscCall(MatSeqAIJGetArrayRead(A, &a_a)); 1644 PetscCall(VecGetArrayRead(xx, &x)); 1645 PetscCall(VecGetArrayPair(yy, zz, &y, &z)); 1646 if (usecprow) { /* use compressed row format */ 1647 if (zz != yy) PetscCall(PetscArraycpy(z, y, m)); 1648 m = a->compressedrow.nrows; 1649 ii = a->compressedrow.i; 1650 ridx = a->compressedrow.rindex; 1651 for (PetscInt i = 0; i < m; i++) { 1652 PetscInt n = ii[i + 1] - ii[i]; 1653 const PetscInt *aj = a->j + ii[i]; 1654 const PetscScalar *aa = a_a + ii[i]; 1655 PetscScalar sum = y[*ridx]; 1656 PetscSparseDensePlusDot(sum, x, aa, aj, n); 1657 z[*ridx++] = sum; 1658 } 1659 } else { /* do not use compressed row format */ 1660 ii = a->i; 1661 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ) 1662 fortranmultaddaij_(&m, x, ii, a->j, a_a, y, z); 1663 #else 1664 PetscPragmaUseOMPKernels(parallel for) 1665 for (PetscInt i = 0; i < m; i++) { 1666 PetscInt n = ii[i + 1] - ii[i]; 1667 const PetscInt *aj = a->j + ii[i]; 1668 const PetscScalar *aa = a_a + ii[i]; 1669 PetscScalar sum = y[i]; 1670 PetscSparseDensePlusDot(sum, x, aa, aj, n); 1671 z[i] = sum; 1672 } 1673 #endif 1674 } 1675 PetscCall(PetscLogFlops(2.0 * a->nz)); 1676 PetscCall(VecRestoreArrayRead(xx, &x)); 1677 PetscCall(VecRestoreArrayPair(yy, zz, &y, &z)); 1678 PetscCall(MatSeqAIJRestoreArrayRead(A, &a_a)); 1679 PetscFunctionReturn(PETSC_SUCCESS); 1680 } 1681 1682 /* 1683 Adds diagonal pointers to sparse matrix nonzero structure. 1684 */ 1685 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A) 1686 { 1687 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1688 PetscInt i, j, m = A->rmap->n; 1689 PetscBool alreadySet = PETSC_TRUE; 1690 1691 PetscFunctionBegin; 1692 if (!a->diag) { 1693 PetscCall(PetscMalloc1(m, &a->diag)); 1694 alreadySet = PETSC_FALSE; 1695 } 1696 for (i = 0; i < A->rmap->n; i++) { 1697 /* If A's diagonal is already correctly set, this fast track enables cheap and repeated MatMarkDiagonal_SeqAIJ() calls */ 1698 if (alreadySet) { 1699 PetscInt pos = a->diag[i]; 1700 if (pos >= a->i[i] && pos < a->i[i + 1] && a->j[pos] == i) continue; 1701 } 1702 1703 a->diag[i] = a->i[i + 1]; 1704 for (j = a->i[i]; j < a->i[i + 1]; j++) { 1705 if (a->j[j] == i) { 1706 a->diag[i] = j; 1707 break; 1708 } 1709 } 1710 } 1711 PetscFunctionReturn(PETSC_SUCCESS); 1712 } 1713 1714 static PetscErrorCode MatShift_SeqAIJ(Mat A, PetscScalar v) 1715 { 1716 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1717 const PetscInt *diag = (const PetscInt *)a->diag; 1718 const PetscInt *ii = (const PetscInt *)a->i; 1719 PetscInt i, *mdiag = NULL; 1720 PetscInt cnt = 0; /* how many diagonals are missing */ 1721 1722 PetscFunctionBegin; 1723 if (!A->preallocated || !a->nz) { 1724 PetscCall(MatSeqAIJSetPreallocation(A, 1, NULL)); 1725 PetscCall(MatShift_Basic(A, v)); 1726 PetscFunctionReturn(PETSC_SUCCESS); 1727 } 1728 1729 if (a->diagonaldense) { 1730 cnt = 0; 1731 } else { 1732 PetscCall(PetscCalloc1(A->rmap->n, &mdiag)); 1733 for (i = 0; i < A->rmap->n; i++) { 1734 if (i < A->cmap->n && diag[i] >= ii[i + 1]) { /* 'out of range' rows never have diagonals */ 1735 cnt++; 1736 mdiag[i] = 1; 1737 } 1738 } 1739 } 1740 if (!cnt) { 1741 PetscCall(MatShift_Basic(A, v)); 1742 } else { 1743 PetscScalar *olda = a->a; /* preserve pointers to current matrix nonzeros structure and values */ 1744 PetscInt *oldj = a->j, *oldi = a->i; 1745 PetscBool free_a = a->free_a, free_ij = a->free_ij; 1746 const PetscScalar *Aa; 1747 1748 PetscCall(MatSeqAIJGetArrayRead(A, &Aa)); // sync the host 1749 PetscCall(MatSeqAIJRestoreArrayRead(A, &Aa)); 1750 1751 a->a = NULL; 1752 a->j = NULL; 1753 a->i = NULL; 1754 /* increase the values in imax for each row where a diagonal is being inserted then reallocate the matrix data structures */ 1755 for (i = 0; i < PetscMin(A->rmap->n, A->cmap->n); i++) a->imax[i] += mdiag[i]; 1756 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(A, 0, a->imax)); 1757 1758 /* copy old values into new matrix data structure */ 1759 for (i = 0; i < A->rmap->n; i++) { 1760 PetscCall(MatSetValues(A, 1, &i, a->imax[i] - mdiag[i], &oldj[oldi[i]], &olda[oldi[i]], ADD_VALUES)); 1761 if (i < A->cmap->n) PetscCall(MatSetValue(A, i, i, v, ADD_VALUES)); 1762 } 1763 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY)); 1764 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY)); 1765 if (free_a) PetscCall(PetscShmgetDeallocateArray((void **)&olda)); 1766 if (free_ij) PetscCall(PetscShmgetDeallocateArray((void **)&oldj)); 1767 if (free_ij) PetscCall(PetscShmgetDeallocateArray((void **)&oldi)); 1768 } 1769 PetscCall(PetscFree(mdiag)); 1770 a->diagonaldense = PETSC_TRUE; 1771 PetscFunctionReturn(PETSC_SUCCESS); 1772 } 1773 1774 /* 1775 Checks for missing diagonals 1776 */ 1777 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A, PetscBool *missing, PetscInt *d) 1778 { 1779 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1780 PetscInt *diag, *ii = a->i, i; 1781 1782 PetscFunctionBegin; 1783 *missing = PETSC_FALSE; 1784 if (A->rmap->n > 0 && !ii) { 1785 *missing = PETSC_TRUE; 1786 if (d) *d = 0; 1787 PetscCall(PetscInfo(A, "Matrix has no entries therefore is missing diagonal\n")); 1788 } else { 1789 PetscInt n; 1790 n = PetscMin(A->rmap->n, A->cmap->n); 1791 diag = a->diag; 1792 for (i = 0; i < n; i++) { 1793 if (diag[i] >= ii[i + 1]) { 1794 *missing = PETSC_TRUE; 1795 if (d) *d = i; 1796 PetscCall(PetscInfo(A, "Matrix is missing diagonal number %" PetscInt_FMT "\n", i)); 1797 break; 1798 } 1799 } 1800 } 1801 PetscFunctionReturn(PETSC_SUCCESS); 1802 } 1803 1804 #include <petscblaslapack.h> 1805 #include <petsc/private/kernels/blockinvert.h> 1806 1807 /* 1808 Note that values is allocated externally by the PC and then passed into this routine 1809 */ 1810 static PetscErrorCode MatInvertVariableBlockDiagonal_SeqAIJ(Mat A, PetscInt nblocks, const PetscInt *bsizes, PetscScalar *diag) 1811 { 1812 PetscInt n = A->rmap->n, i, ncnt = 0, *indx, j, bsizemax = 0, *v_pivots; 1813 PetscBool allowzeropivot, zeropivotdetected = PETSC_FALSE; 1814 const PetscReal shift = 0.0; 1815 PetscInt ipvt[5]; 1816 PetscCount flops = 0; 1817 PetscScalar work[25], *v_work; 1818 1819 PetscFunctionBegin; 1820 allowzeropivot = PetscNot(A->erroriffailure); 1821 for (i = 0; i < nblocks; i++) ncnt += bsizes[i]; 1822 PetscCheck(ncnt == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total blocksizes %" PetscInt_FMT " doesn't match number matrix rows %" PetscInt_FMT, ncnt, n); 1823 for (i = 0; i < nblocks; i++) bsizemax = PetscMax(bsizemax, bsizes[i]); 1824 PetscCall(PetscMalloc1(bsizemax, &indx)); 1825 if (bsizemax > 7) PetscCall(PetscMalloc2(bsizemax, &v_work, bsizemax, &v_pivots)); 1826 ncnt = 0; 1827 for (i = 0; i < nblocks; i++) { 1828 for (j = 0; j < bsizes[i]; j++) indx[j] = ncnt + j; 1829 PetscCall(MatGetValues(A, bsizes[i], indx, bsizes[i], indx, diag)); 1830 switch (bsizes[i]) { 1831 case 1: 1832 *diag = 1.0 / (*diag); 1833 break; 1834 case 2: 1835 PetscCall(PetscKernel_A_gets_inverse_A_2(diag, shift, allowzeropivot, &zeropivotdetected)); 1836 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1837 PetscCall(PetscKernel_A_gets_transpose_A_2(diag)); 1838 break; 1839 case 3: 1840 PetscCall(PetscKernel_A_gets_inverse_A_3(diag, shift, allowzeropivot, &zeropivotdetected)); 1841 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1842 PetscCall(PetscKernel_A_gets_transpose_A_3(diag)); 1843 break; 1844 case 4: 1845 PetscCall(PetscKernel_A_gets_inverse_A_4(diag, shift, allowzeropivot, &zeropivotdetected)); 1846 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1847 PetscCall(PetscKernel_A_gets_transpose_A_4(diag)); 1848 break; 1849 case 5: 1850 PetscCall(PetscKernel_A_gets_inverse_A_5(diag, ipvt, work, shift, allowzeropivot, &zeropivotdetected)); 1851 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1852 PetscCall(PetscKernel_A_gets_transpose_A_5(diag)); 1853 break; 1854 case 6: 1855 PetscCall(PetscKernel_A_gets_inverse_A_6(diag, shift, allowzeropivot, &zeropivotdetected)); 1856 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1857 PetscCall(PetscKernel_A_gets_transpose_A_6(diag)); 1858 break; 1859 case 7: 1860 PetscCall(PetscKernel_A_gets_inverse_A_7(diag, shift, allowzeropivot, &zeropivotdetected)); 1861 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1862 PetscCall(PetscKernel_A_gets_transpose_A_7(diag)); 1863 break; 1864 default: 1865 PetscCall(PetscKernel_A_gets_inverse_A(bsizes[i], diag, v_pivots, v_work, allowzeropivot, &zeropivotdetected)); 1866 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1867 PetscCall(PetscKernel_A_gets_transpose_A_N(diag, bsizes[i])); 1868 } 1869 ncnt += bsizes[i]; 1870 diag += bsizes[i] * bsizes[i]; 1871 flops += 2 * PetscPowInt64(bsizes[i], 3) / 3; 1872 } 1873 PetscCall(PetscLogFlops(flops)); 1874 if (bsizemax > 7) PetscCall(PetscFree2(v_work, v_pivots)); 1875 PetscCall(PetscFree(indx)); 1876 PetscFunctionReturn(PETSC_SUCCESS); 1877 } 1878 1879 /* 1880 Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways 1881 */ 1882 static PetscErrorCode MatInvertDiagonal_SeqAIJ(Mat A, PetscScalar omega, PetscScalar fshift) 1883 { 1884 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1885 PetscInt i, *diag, m = A->rmap->n; 1886 const MatScalar *v; 1887 PetscScalar *idiag, *mdiag; 1888 1889 PetscFunctionBegin; 1890 if (a->idiagvalid) PetscFunctionReturn(PETSC_SUCCESS); 1891 PetscCall(MatMarkDiagonal_SeqAIJ(A)); 1892 diag = a->diag; 1893 if (!a->idiag) PetscCall(PetscMalloc3(m, &a->idiag, m, &a->mdiag, m, &a->ssor_work)); 1894 1895 mdiag = a->mdiag; 1896 idiag = a->idiag; 1897 PetscCall(MatSeqAIJGetArrayRead(A, &v)); 1898 if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) { 1899 for (i = 0; i < m; i++) { 1900 mdiag[i] = v[diag[i]]; 1901 if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */ 1902 PetscCheck(PetscRealPart(fshift), PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Zero diagonal on row %" PetscInt_FMT, i); 1903 PetscCall(PetscInfo(A, "Zero diagonal on row %" PetscInt_FMT "\n", i)); 1904 A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 1905 A->factorerror_zeropivot_value = 0.0; 1906 A->factorerror_zeropivot_row = i; 1907 } 1908 idiag[i] = 1.0 / v[diag[i]]; 1909 } 1910 PetscCall(PetscLogFlops(m)); 1911 } else { 1912 for (i = 0; i < m; i++) { 1913 mdiag[i] = v[diag[i]]; 1914 idiag[i] = omega / (fshift + v[diag[i]]); 1915 } 1916 PetscCall(PetscLogFlops(2.0 * m)); 1917 } 1918 a->idiagvalid = PETSC_TRUE; 1919 PetscCall(MatSeqAIJRestoreArrayRead(A, &v)); 1920 PetscFunctionReturn(PETSC_SUCCESS); 1921 } 1922 1923 PetscErrorCode MatSOR_SeqAIJ(Mat A, Vec bb, PetscReal omega, MatSORType flag, PetscReal fshift, PetscInt its, PetscInt lits, Vec xx) 1924 { 1925 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 1926 PetscScalar *x, d, sum, *t, scale; 1927 const MatScalar *v, *idiag = NULL, *mdiag, *aa; 1928 const PetscScalar *b, *bs, *xb, *ts; 1929 PetscInt n, m = A->rmap->n, i; 1930 const PetscInt *idx, *diag; 1931 1932 PetscFunctionBegin; 1933 if (a->inode.use && a->inode.checked && omega == 1.0 && fshift == 0.0) { 1934 PetscCall(MatSOR_SeqAIJ_Inode(A, bb, omega, flag, fshift, its, lits, xx)); 1935 PetscFunctionReturn(PETSC_SUCCESS); 1936 } 1937 its = its * lits; 1938 1939 if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */ 1940 if (!a->idiagvalid) PetscCall(MatInvertDiagonal_SeqAIJ(A, omega, fshift)); 1941 a->fshift = fshift; 1942 a->omega = omega; 1943 1944 diag = a->diag; 1945 t = a->ssor_work; 1946 idiag = a->idiag; 1947 mdiag = a->mdiag; 1948 1949 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 1950 PetscCall(VecGetArray(xx, &x)); 1951 PetscCall(VecGetArrayRead(bb, &b)); 1952 /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */ 1953 if (flag == SOR_APPLY_UPPER) { 1954 /* apply (U + D/omega) to the vector */ 1955 bs = b; 1956 for (i = 0; i < m; i++) { 1957 d = fshift + mdiag[i]; 1958 n = a->i[i + 1] - diag[i] - 1; 1959 idx = a->j + diag[i] + 1; 1960 v = aa + diag[i] + 1; 1961 sum = b[i] * d / omega; 1962 PetscSparseDensePlusDot(sum, bs, v, idx, n); 1963 x[i] = sum; 1964 } 1965 PetscCall(VecRestoreArray(xx, &x)); 1966 PetscCall(VecRestoreArrayRead(bb, &b)); 1967 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 1968 PetscCall(PetscLogFlops(a->nz)); 1969 PetscFunctionReturn(PETSC_SUCCESS); 1970 } 1971 1972 PetscCheck(flag != SOR_APPLY_LOWER, PETSC_COMM_SELF, PETSC_ERR_SUP, "SOR_APPLY_LOWER is not implemented"); 1973 if (flag & SOR_EISENSTAT) { 1974 /* Let A = L + U + D; where L is lower triangular, 1975 U is upper triangular, E = D/omega; This routine applies 1976 1977 (L + E)^{-1} A (U + E)^{-1} 1978 1979 to a vector efficiently using Eisenstat's trick. 1980 */ 1981 scale = (2.0 / omega) - 1.0; 1982 1983 /* x = (E + U)^{-1} b */ 1984 for (i = m - 1; i >= 0; i--) { 1985 n = a->i[i + 1] - diag[i] - 1; 1986 idx = a->j + diag[i] + 1; 1987 v = aa + diag[i] + 1; 1988 sum = b[i]; 1989 PetscSparseDenseMinusDot(sum, x, v, idx, n); 1990 x[i] = sum * idiag[i]; 1991 } 1992 1993 /* t = b - (2*E - D)x */ 1994 v = aa; 1995 for (i = 0; i < m; i++) t[i] = b[i] - scale * (v[*diag++]) * x[i]; 1996 1997 /* t = (E + L)^{-1}t */ 1998 ts = t; 1999 diag = a->diag; 2000 for (i = 0; i < m; i++) { 2001 n = diag[i] - a->i[i]; 2002 idx = a->j + a->i[i]; 2003 v = aa + a->i[i]; 2004 sum = t[i]; 2005 PetscSparseDenseMinusDot(sum, ts, v, idx, n); 2006 t[i] = sum * idiag[i]; 2007 /* x = x + t */ 2008 x[i] += t[i]; 2009 } 2010 2011 PetscCall(PetscLogFlops(6.0 * m - 1 + 2.0 * a->nz)); 2012 PetscCall(VecRestoreArray(xx, &x)); 2013 PetscCall(VecRestoreArrayRead(bb, &b)); 2014 PetscFunctionReturn(PETSC_SUCCESS); 2015 } 2016 if (flag & SOR_ZERO_INITIAL_GUESS) { 2017 if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) { 2018 for (i = 0; i < m; i++) { 2019 n = diag[i] - a->i[i]; 2020 idx = a->j + a->i[i]; 2021 v = aa + a->i[i]; 2022 sum = b[i]; 2023 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2024 t[i] = sum; 2025 x[i] = sum * idiag[i]; 2026 } 2027 xb = t; 2028 PetscCall(PetscLogFlops(a->nz)); 2029 } else xb = b; 2030 if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) { 2031 for (i = m - 1; i >= 0; i--) { 2032 n = a->i[i + 1] - diag[i] - 1; 2033 idx = a->j + diag[i] + 1; 2034 v = aa + diag[i] + 1; 2035 sum = xb[i]; 2036 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2037 if (xb == b) { 2038 x[i] = sum * idiag[i]; 2039 } else { 2040 x[i] = (1 - omega) * x[i] + sum * idiag[i]; /* omega in idiag */ 2041 } 2042 } 2043 PetscCall(PetscLogFlops(a->nz)); /* assumes 1/2 in upper */ 2044 } 2045 its--; 2046 } 2047 while (its--) { 2048 if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) { 2049 for (i = 0; i < m; i++) { 2050 /* lower */ 2051 n = diag[i] - a->i[i]; 2052 idx = a->j + a->i[i]; 2053 v = aa + a->i[i]; 2054 sum = b[i]; 2055 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2056 t[i] = sum; /* save application of the lower-triangular part */ 2057 /* upper */ 2058 n = a->i[i + 1] - diag[i] - 1; 2059 idx = a->j + diag[i] + 1; 2060 v = aa + diag[i] + 1; 2061 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2062 x[i] = (1. - omega) * x[i] + sum * idiag[i]; /* omega in idiag */ 2063 } 2064 xb = t; 2065 PetscCall(PetscLogFlops(2.0 * a->nz)); 2066 } else xb = b; 2067 if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) { 2068 for (i = m - 1; i >= 0; i--) { 2069 sum = xb[i]; 2070 if (xb == b) { 2071 /* whole matrix (no checkpointing available) */ 2072 n = a->i[i + 1] - a->i[i]; 2073 idx = a->j + a->i[i]; 2074 v = aa + a->i[i]; 2075 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2076 x[i] = (1. - omega) * x[i] + (sum + mdiag[i] * x[i]) * idiag[i]; 2077 } else { /* lower-triangular part has been saved, so only apply upper-triangular */ 2078 n = a->i[i + 1] - diag[i] - 1; 2079 idx = a->j + diag[i] + 1; 2080 v = aa + diag[i] + 1; 2081 PetscSparseDenseMinusDot(sum, x, v, idx, n); 2082 x[i] = (1. - omega) * x[i] + sum * idiag[i]; /* omega in idiag */ 2083 } 2084 } 2085 if (xb == b) { 2086 PetscCall(PetscLogFlops(2.0 * a->nz)); 2087 } else { 2088 PetscCall(PetscLogFlops(a->nz)); /* assumes 1/2 in upper */ 2089 } 2090 } 2091 } 2092 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 2093 PetscCall(VecRestoreArray(xx, &x)); 2094 PetscCall(VecRestoreArrayRead(bb, &b)); 2095 PetscFunctionReturn(PETSC_SUCCESS); 2096 } 2097 2098 static PetscErrorCode MatGetInfo_SeqAIJ(Mat A, MatInfoType flag, MatInfo *info) 2099 { 2100 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2101 2102 PetscFunctionBegin; 2103 info->block_size = 1.0; 2104 info->nz_allocated = a->maxnz; 2105 info->nz_used = a->nz; 2106 info->nz_unneeded = (a->maxnz - a->nz); 2107 info->assemblies = A->num_ass; 2108 info->mallocs = A->info.mallocs; 2109 info->memory = 0; /* REVIEW ME */ 2110 if (A->factortype) { 2111 info->fill_ratio_given = A->info.fill_ratio_given; 2112 info->fill_ratio_needed = A->info.fill_ratio_needed; 2113 info->factor_mallocs = A->info.factor_mallocs; 2114 } else { 2115 info->fill_ratio_given = 0; 2116 info->fill_ratio_needed = 0; 2117 info->factor_mallocs = 0; 2118 } 2119 PetscFunctionReturn(PETSC_SUCCESS); 2120 } 2121 2122 static PetscErrorCode MatZeroRows_SeqAIJ(Mat A, PetscInt N, const PetscInt rows[], PetscScalar diag, Vec x, Vec b) 2123 { 2124 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2125 PetscInt i, m = A->rmap->n - 1; 2126 const PetscScalar *xx; 2127 PetscScalar *bb, *aa; 2128 PetscInt d = 0; 2129 2130 PetscFunctionBegin; 2131 if (x && b) { 2132 PetscCall(VecGetArrayRead(x, &xx)); 2133 PetscCall(VecGetArray(b, &bb)); 2134 for (i = 0; i < N; i++) { 2135 PetscCheck(rows[i] >= 0 && rows[i] <= m, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", rows[i]); 2136 if (rows[i] >= A->cmap->n) continue; 2137 bb[rows[i]] = diag * xx[rows[i]]; 2138 } 2139 PetscCall(VecRestoreArrayRead(x, &xx)); 2140 PetscCall(VecRestoreArray(b, &bb)); 2141 } 2142 2143 PetscCall(MatSeqAIJGetArray(A, &aa)); 2144 if (a->keepnonzeropattern) { 2145 for (i = 0; i < N; i++) { 2146 PetscCheck(rows[i] >= 0 && rows[i] <= m, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", rows[i]); 2147 PetscCall(PetscArrayzero(&aa[a->i[rows[i]]], a->ilen[rows[i]])); 2148 } 2149 if (diag != 0.0) { 2150 for (i = 0; i < N; i++) { 2151 d = rows[i]; 2152 if (rows[i] >= A->cmap->n) continue; 2153 PetscCheck(a->diag[d] < a->i[d + 1], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Matrix is missing diagonal entry in the zeroed row %" PetscInt_FMT, d); 2154 } 2155 for (i = 0; i < N; i++) { 2156 if (rows[i] >= A->cmap->n) continue; 2157 aa[a->diag[rows[i]]] = diag; 2158 } 2159 } 2160 } else { 2161 if (diag != 0.0) { 2162 for (i = 0; i < N; i++) { 2163 PetscCheck(rows[i] >= 0 && rows[i] <= m, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", rows[i]); 2164 if (a->ilen[rows[i]] > 0) { 2165 if (rows[i] >= A->cmap->n) { 2166 a->ilen[rows[i]] = 0; 2167 } else { 2168 a->ilen[rows[i]] = 1; 2169 aa[a->i[rows[i]]] = diag; 2170 a->j[a->i[rows[i]]] = rows[i]; 2171 } 2172 } else if (rows[i] < A->cmap->n) { /* in case row was completely empty */ 2173 PetscCall(MatSetValues_SeqAIJ(A, 1, &rows[i], 1, &rows[i], &diag, INSERT_VALUES)); 2174 } 2175 } 2176 } else { 2177 for (i = 0; i < N; i++) { 2178 PetscCheck(rows[i] >= 0 && rows[i] <= m, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", rows[i]); 2179 a->ilen[rows[i]] = 0; 2180 } 2181 } 2182 A->nonzerostate++; 2183 } 2184 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 2185 PetscUseTypeMethod(A, assemblyend, MAT_FINAL_ASSEMBLY); 2186 PetscFunctionReturn(PETSC_SUCCESS); 2187 } 2188 2189 static PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A, PetscInt N, const PetscInt rows[], PetscScalar diag, Vec x, Vec b) 2190 { 2191 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2192 PetscInt i, j, m = A->rmap->n - 1, d = 0; 2193 PetscBool missing, *zeroed, vecs = PETSC_FALSE; 2194 const PetscScalar *xx; 2195 PetscScalar *bb, *aa; 2196 2197 PetscFunctionBegin; 2198 if (!N) PetscFunctionReturn(PETSC_SUCCESS); 2199 PetscCall(MatSeqAIJGetArray(A, &aa)); 2200 if (x && b) { 2201 PetscCall(VecGetArrayRead(x, &xx)); 2202 PetscCall(VecGetArray(b, &bb)); 2203 vecs = PETSC_TRUE; 2204 } 2205 PetscCall(PetscCalloc1(A->rmap->n, &zeroed)); 2206 for (i = 0; i < N; i++) { 2207 PetscCheck(rows[i] >= 0 && rows[i] <= m, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "row %" PetscInt_FMT " out of range", rows[i]); 2208 PetscCall(PetscArrayzero(PetscSafePointerPlusOffset(aa, a->i[rows[i]]), a->ilen[rows[i]])); 2209 2210 zeroed[rows[i]] = PETSC_TRUE; 2211 } 2212 for (i = 0; i < A->rmap->n; i++) { 2213 if (!zeroed[i]) { 2214 for (j = a->i[i]; j < a->i[i + 1]; j++) { 2215 if (a->j[j] < A->rmap->n && zeroed[a->j[j]]) { 2216 if (vecs) bb[i] -= aa[j] * xx[a->j[j]]; 2217 aa[j] = 0.0; 2218 } 2219 } 2220 } else if (vecs && i < A->cmap->N) bb[i] = diag * xx[i]; 2221 } 2222 if (x && b) { 2223 PetscCall(VecRestoreArrayRead(x, &xx)); 2224 PetscCall(VecRestoreArray(b, &bb)); 2225 } 2226 PetscCall(PetscFree(zeroed)); 2227 if (diag != 0.0) { 2228 PetscCall(MatMissingDiagonal_SeqAIJ(A, &missing, &d)); 2229 if (missing) { 2230 for (i = 0; i < N; i++) { 2231 if (rows[i] >= A->cmap->N) continue; 2232 PetscCheck(!a->nonew || rows[i] < d, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Matrix is missing diagonal entry in row %" PetscInt_FMT " (%" PetscInt_FMT ")", d, rows[i]); 2233 PetscCall(MatSetValues_SeqAIJ(A, 1, &rows[i], 1, &rows[i], &diag, INSERT_VALUES)); 2234 } 2235 } else { 2236 for (i = 0; i < N; i++) aa[a->diag[rows[i]]] = diag; 2237 } 2238 } 2239 PetscCall(MatSeqAIJRestoreArray(A, &aa)); 2240 PetscUseTypeMethod(A, assemblyend, MAT_FINAL_ASSEMBLY); 2241 PetscFunctionReturn(PETSC_SUCCESS); 2242 } 2243 2244 PetscErrorCode MatGetRow_SeqAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v) 2245 { 2246 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2247 const PetscScalar *aa; 2248 2249 PetscFunctionBegin; 2250 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 2251 *nz = a->i[row + 1] - a->i[row]; 2252 if (v) *v = PetscSafePointerPlusOffset((PetscScalar *)aa, a->i[row]); 2253 if (idx) { 2254 if (*nz && a->j) *idx = a->j + a->i[row]; 2255 else *idx = NULL; 2256 } 2257 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 2258 PetscFunctionReturn(PETSC_SUCCESS); 2259 } 2260 2261 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A, PetscInt row, PetscInt *nz, PetscInt **idx, PetscScalar **v) 2262 { 2263 PetscFunctionBegin; 2264 PetscFunctionReturn(PETSC_SUCCESS); 2265 } 2266 2267 static PetscErrorCode MatNorm_SeqAIJ(Mat A, NormType type, PetscReal *nrm) 2268 { 2269 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2270 const MatScalar *v; 2271 PetscReal sum = 0.0; 2272 PetscInt i, j; 2273 2274 PetscFunctionBegin; 2275 PetscCall(MatSeqAIJGetArrayRead(A, &v)); 2276 if (type == NORM_FROBENIUS) { 2277 #if defined(PETSC_USE_REAL___FP16) 2278 PetscBLASInt one = 1, nz = a->nz; 2279 PetscCallBLAS("BLASnrm2", *nrm = BLASnrm2_(&nz, v, &one)); 2280 #else 2281 for (i = 0; i < a->nz; i++) { 2282 sum += PetscRealPart(PetscConj(*v) * (*v)); 2283 v++; 2284 } 2285 *nrm = PetscSqrtReal(sum); 2286 #endif 2287 PetscCall(PetscLogFlops(2.0 * a->nz)); 2288 } else if (type == NORM_1) { 2289 PetscReal *tmp; 2290 PetscInt *jj = a->j; 2291 PetscCall(PetscCalloc1(A->cmap->n + 1, &tmp)); 2292 *nrm = 0.0; 2293 for (j = 0; j < a->nz; j++) { 2294 tmp[*jj++] += PetscAbsScalar(*v); 2295 v++; 2296 } 2297 for (j = 0; j < A->cmap->n; j++) { 2298 if (tmp[j] > *nrm) *nrm = tmp[j]; 2299 } 2300 PetscCall(PetscFree(tmp)); 2301 PetscCall(PetscLogFlops(PetscMax(a->nz - 1, 0))); 2302 } else if (type == NORM_INFINITY) { 2303 *nrm = 0.0; 2304 for (j = 0; j < A->rmap->n; j++) { 2305 const PetscScalar *v2 = PetscSafePointerPlusOffset(v, a->i[j]); 2306 sum = 0.0; 2307 for (i = 0; i < a->i[j + 1] - a->i[j]; i++) { 2308 sum += PetscAbsScalar(*v2); 2309 v2++; 2310 } 2311 if (sum > *nrm) *nrm = sum; 2312 } 2313 PetscCall(PetscLogFlops(PetscMax(a->nz - 1, 0))); 2314 } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No support for two norm"); 2315 PetscCall(MatSeqAIJRestoreArrayRead(A, &v)); 2316 PetscFunctionReturn(PETSC_SUCCESS); 2317 } 2318 2319 static PetscErrorCode MatIsTranspose_SeqAIJ(Mat A, Mat B, PetscReal tol, PetscBool *f) 2320 { 2321 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data, *bij = (Mat_SeqAIJ *)B->data; 2322 PetscInt *adx, *bdx, *aii, *bii, *aptr, *bptr; 2323 const MatScalar *va, *vb; 2324 PetscInt ma, na, mb, nb, i; 2325 2326 PetscFunctionBegin; 2327 PetscCall(MatGetSize(A, &ma, &na)); 2328 PetscCall(MatGetSize(B, &mb, &nb)); 2329 if (ma != nb || na != mb) { 2330 *f = PETSC_FALSE; 2331 PetscFunctionReturn(PETSC_SUCCESS); 2332 } 2333 PetscCall(MatSeqAIJGetArrayRead(A, &va)); 2334 PetscCall(MatSeqAIJGetArrayRead(B, &vb)); 2335 aii = aij->i; 2336 bii = bij->i; 2337 adx = aij->j; 2338 bdx = bij->j; 2339 PetscCall(PetscMalloc1(ma, &aptr)); 2340 PetscCall(PetscMalloc1(mb, &bptr)); 2341 for (i = 0; i < ma; i++) aptr[i] = aii[i]; 2342 for (i = 0; i < mb; i++) bptr[i] = bii[i]; 2343 2344 *f = PETSC_TRUE; 2345 for (i = 0; i < ma; i++) { 2346 while (aptr[i] < aii[i + 1]) { 2347 PetscInt idc, idr; 2348 PetscScalar vc, vr; 2349 /* column/row index/value */ 2350 idc = adx[aptr[i]]; 2351 idr = bdx[bptr[idc]]; 2352 vc = va[aptr[i]]; 2353 vr = vb[bptr[idc]]; 2354 if (i != idr || PetscAbsScalar(vc - vr) > tol) { 2355 *f = PETSC_FALSE; 2356 goto done; 2357 } else { 2358 aptr[i]++; 2359 if (B || i != idc) bptr[idc]++; 2360 } 2361 } 2362 } 2363 done: 2364 PetscCall(PetscFree(aptr)); 2365 PetscCall(PetscFree(bptr)); 2366 PetscCall(MatSeqAIJRestoreArrayRead(A, &va)); 2367 PetscCall(MatSeqAIJRestoreArrayRead(B, &vb)); 2368 PetscFunctionReturn(PETSC_SUCCESS); 2369 } 2370 2371 static PetscErrorCode MatIsHermitianTranspose_SeqAIJ(Mat A, Mat B, PetscReal tol, PetscBool *f) 2372 { 2373 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data, *bij = (Mat_SeqAIJ *)B->data; 2374 PetscInt *adx, *bdx, *aii, *bii, *aptr, *bptr; 2375 MatScalar *va, *vb; 2376 PetscInt ma, na, mb, nb, i; 2377 2378 PetscFunctionBegin; 2379 PetscCall(MatGetSize(A, &ma, &na)); 2380 PetscCall(MatGetSize(B, &mb, &nb)); 2381 if (ma != nb || na != mb) { 2382 *f = PETSC_FALSE; 2383 PetscFunctionReturn(PETSC_SUCCESS); 2384 } 2385 aii = aij->i; 2386 bii = bij->i; 2387 adx = aij->j; 2388 bdx = bij->j; 2389 va = aij->a; 2390 vb = bij->a; 2391 PetscCall(PetscMalloc1(ma, &aptr)); 2392 PetscCall(PetscMalloc1(mb, &bptr)); 2393 for (i = 0; i < ma; i++) aptr[i] = aii[i]; 2394 for (i = 0; i < mb; i++) bptr[i] = bii[i]; 2395 2396 *f = PETSC_TRUE; 2397 for (i = 0; i < ma; i++) { 2398 while (aptr[i] < aii[i + 1]) { 2399 PetscInt idc, idr; 2400 PetscScalar vc, vr; 2401 /* column/row index/value */ 2402 idc = adx[aptr[i]]; 2403 idr = bdx[bptr[idc]]; 2404 vc = va[aptr[i]]; 2405 vr = vb[bptr[idc]]; 2406 if (i != idr || PetscAbsScalar(vc - PetscConj(vr)) > tol) { 2407 *f = PETSC_FALSE; 2408 goto done; 2409 } else { 2410 aptr[i]++; 2411 if (B || i != idc) bptr[idc]++; 2412 } 2413 } 2414 } 2415 done: 2416 PetscCall(PetscFree(aptr)); 2417 PetscCall(PetscFree(bptr)); 2418 PetscFunctionReturn(PETSC_SUCCESS); 2419 } 2420 2421 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A, Vec ll, Vec rr) 2422 { 2423 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2424 const PetscScalar *l, *r; 2425 PetscScalar x; 2426 MatScalar *v; 2427 PetscInt i, j, m = A->rmap->n, n = A->cmap->n, M, nz = a->nz; 2428 const PetscInt *jj; 2429 2430 PetscFunctionBegin; 2431 if (ll) { 2432 /* The local size is used so that VecMPI can be passed to this routine 2433 by MatDiagonalScale_MPIAIJ */ 2434 PetscCall(VecGetLocalSize(ll, &m)); 2435 PetscCheck(m == A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Left scaling vector wrong length"); 2436 PetscCall(VecGetArrayRead(ll, &l)); 2437 PetscCall(MatSeqAIJGetArray(A, &v)); 2438 for (i = 0; i < m; i++) { 2439 x = l[i]; 2440 M = a->i[i + 1] - a->i[i]; 2441 for (j = 0; j < M; j++) (*v++) *= x; 2442 } 2443 PetscCall(VecRestoreArrayRead(ll, &l)); 2444 PetscCall(PetscLogFlops(nz)); 2445 PetscCall(MatSeqAIJRestoreArray(A, &v)); 2446 } 2447 if (rr) { 2448 PetscCall(VecGetLocalSize(rr, &n)); 2449 PetscCheck(n == A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Right scaling vector wrong length"); 2450 PetscCall(VecGetArrayRead(rr, &r)); 2451 PetscCall(MatSeqAIJGetArray(A, &v)); 2452 jj = a->j; 2453 for (i = 0; i < nz; i++) (*v++) *= r[*jj++]; 2454 PetscCall(MatSeqAIJRestoreArray(A, &v)); 2455 PetscCall(VecRestoreArrayRead(rr, &r)); 2456 PetscCall(PetscLogFlops(nz)); 2457 } 2458 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 2459 PetscFunctionReturn(PETSC_SUCCESS); 2460 } 2461 2462 PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat A, IS isrow, IS iscol, PetscInt csize, MatReuse scall, Mat *B) 2463 { 2464 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data, *c; 2465 PetscInt *smap, i, k, kstart, kend, oldcols = A->cmap->n, *lens; 2466 PetscInt row, mat_i, *mat_j, tcol, first, step, *mat_ilen, sum, lensi; 2467 const PetscInt *irow, *icol; 2468 const PetscScalar *aa; 2469 PetscInt nrows, ncols; 2470 PetscInt *starts, *j_new, *i_new, *aj = a->j, *ai = a->i, ii, *ailen = a->ilen; 2471 MatScalar *a_new, *mat_a, *c_a; 2472 Mat C; 2473 PetscBool stride; 2474 2475 PetscFunctionBegin; 2476 PetscCall(ISGetIndices(isrow, &irow)); 2477 PetscCall(ISGetLocalSize(isrow, &nrows)); 2478 PetscCall(ISGetLocalSize(iscol, &ncols)); 2479 2480 PetscCall(PetscObjectTypeCompare((PetscObject)iscol, ISSTRIDE, &stride)); 2481 if (stride) { 2482 PetscCall(ISStrideGetInfo(iscol, &first, &step)); 2483 } else { 2484 first = 0; 2485 step = 0; 2486 } 2487 if (stride && step == 1) { 2488 /* special case of contiguous rows */ 2489 PetscCall(PetscMalloc2(nrows, &lens, nrows, &starts)); 2490 /* loop over new rows determining lens and starting points */ 2491 for (i = 0; i < nrows; i++) { 2492 kstart = ai[irow[i]]; 2493 kend = kstart + ailen[irow[i]]; 2494 starts[i] = kstart; 2495 for (k = kstart; k < kend; k++) { 2496 if (aj[k] >= first) { 2497 starts[i] = k; 2498 break; 2499 } 2500 } 2501 sum = 0; 2502 while (k < kend) { 2503 if (aj[k++] >= first + ncols) break; 2504 sum++; 2505 } 2506 lens[i] = sum; 2507 } 2508 /* create submatrix */ 2509 if (scall == MAT_REUSE_MATRIX) { 2510 PetscInt n_cols, n_rows; 2511 PetscCall(MatGetSize(*B, &n_rows, &n_cols)); 2512 PetscCheck(n_rows == nrows && n_cols == ncols, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Reused submatrix wrong size"); 2513 PetscCall(MatZeroEntries(*B)); 2514 C = *B; 2515 } else { 2516 PetscInt rbs, cbs; 2517 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C)); 2518 PetscCall(MatSetSizes(C, nrows, ncols, PETSC_DETERMINE, PETSC_DETERMINE)); 2519 PetscCall(ISGetBlockSize(isrow, &rbs)); 2520 PetscCall(ISGetBlockSize(iscol, &cbs)); 2521 PetscCall(MatSetBlockSizes(C, rbs, cbs)); 2522 PetscCall(MatSetType(C, ((PetscObject)A)->type_name)); 2523 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(C, 0, lens)); 2524 } 2525 c = (Mat_SeqAIJ *)C->data; 2526 2527 /* loop over rows inserting into submatrix */ 2528 PetscCall(MatSeqAIJGetArrayWrite(C, &a_new)); // Not 'a_new = c->a-new', since that raw usage ignores offload state of C 2529 j_new = c->j; 2530 i_new = c->i; 2531 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 2532 for (i = 0; i < nrows; i++) { 2533 ii = starts[i]; 2534 lensi = lens[i]; 2535 if (lensi) { 2536 for (k = 0; k < lensi; k++) *j_new++ = aj[ii + k] - first; 2537 PetscCall(PetscArraycpy(a_new, aa + starts[i], lensi)); 2538 a_new += lensi; 2539 } 2540 i_new[i + 1] = i_new[i] + lensi; 2541 c->ilen[i] = lensi; 2542 } 2543 PetscCall(MatSeqAIJRestoreArrayWrite(C, &a_new)); // Set C's offload state properly 2544 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 2545 PetscCall(PetscFree2(lens, starts)); 2546 } else { 2547 PetscCall(ISGetIndices(iscol, &icol)); 2548 PetscCall(PetscCalloc1(oldcols, &smap)); 2549 PetscCall(PetscMalloc1(1 + nrows, &lens)); 2550 for (i = 0; i < ncols; i++) { 2551 PetscCheck(icol[i] < oldcols, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Requesting column beyond largest column icol[%" PetscInt_FMT "] %" PetscInt_FMT " >= A->cmap->n %" PetscInt_FMT, i, icol[i], oldcols); 2552 smap[icol[i]] = i + 1; 2553 } 2554 2555 /* determine lens of each row */ 2556 for (i = 0; i < nrows; i++) { 2557 kstart = ai[irow[i]]; 2558 kend = kstart + a->ilen[irow[i]]; 2559 lens[i] = 0; 2560 for (k = kstart; k < kend; k++) { 2561 if (smap[aj[k]]) lens[i]++; 2562 } 2563 } 2564 /* Create and fill new matrix */ 2565 if (scall == MAT_REUSE_MATRIX) { 2566 PetscBool equal; 2567 2568 c = (Mat_SeqAIJ *)((*B)->data); 2569 PetscCheck((*B)->rmap->n == nrows && (*B)->cmap->n == ncols, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Cannot reuse matrix. wrong size"); 2570 PetscCall(PetscArraycmp(c->ilen, lens, (*B)->rmap->n, &equal)); 2571 PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Cannot reuse matrix. wrong number of nonzeros"); 2572 PetscCall(PetscArrayzero(c->ilen, (*B)->rmap->n)); 2573 C = *B; 2574 } else { 2575 PetscInt rbs, cbs; 2576 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &C)); 2577 PetscCall(MatSetSizes(C, nrows, ncols, PETSC_DETERMINE, PETSC_DETERMINE)); 2578 PetscCall(ISGetBlockSize(isrow, &rbs)); 2579 PetscCall(ISGetBlockSize(iscol, &cbs)); 2580 if (rbs > 1 || cbs > 1) PetscCall(MatSetBlockSizes(C, rbs, cbs)); 2581 PetscCall(MatSetType(C, ((PetscObject)A)->type_name)); 2582 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(C, 0, lens)); 2583 } 2584 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 2585 2586 c = (Mat_SeqAIJ *)C->data; 2587 PetscCall(MatSeqAIJGetArrayWrite(C, &c_a)); // Not 'c->a', since that raw usage ignores offload state of C 2588 for (i = 0; i < nrows; i++) { 2589 row = irow[i]; 2590 kstart = ai[row]; 2591 kend = kstart + a->ilen[row]; 2592 mat_i = c->i[i]; 2593 mat_j = PetscSafePointerPlusOffset(c->j, mat_i); 2594 mat_a = PetscSafePointerPlusOffset(c_a, mat_i); 2595 mat_ilen = c->ilen + i; 2596 for (k = kstart; k < kend; k++) { 2597 if ((tcol = smap[a->j[k]])) { 2598 *mat_j++ = tcol - 1; 2599 *mat_a++ = aa[k]; 2600 (*mat_ilen)++; 2601 } 2602 } 2603 } 2604 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 2605 /* Free work space */ 2606 PetscCall(ISRestoreIndices(iscol, &icol)); 2607 PetscCall(PetscFree(smap)); 2608 PetscCall(PetscFree(lens)); 2609 /* sort */ 2610 for (i = 0; i < nrows; i++) { 2611 PetscInt ilen; 2612 2613 mat_i = c->i[i]; 2614 mat_j = PetscSafePointerPlusOffset(c->j, mat_i); 2615 mat_a = PetscSafePointerPlusOffset(c_a, mat_i); 2616 ilen = c->ilen[i]; 2617 PetscCall(PetscSortIntWithScalarArray(ilen, mat_j, mat_a)); 2618 } 2619 PetscCall(MatSeqAIJRestoreArrayWrite(C, &c_a)); 2620 } 2621 #if defined(PETSC_HAVE_DEVICE) 2622 PetscCall(MatBindToCPU(C, A->boundtocpu)); 2623 #endif 2624 PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY)); 2625 PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY)); 2626 2627 PetscCall(ISRestoreIndices(isrow, &irow)); 2628 *B = C; 2629 PetscFunctionReturn(PETSC_SUCCESS); 2630 } 2631 2632 static PetscErrorCode MatGetMultiProcBlock_SeqAIJ(Mat mat, MPI_Comm subComm, MatReuse scall, Mat *subMat) 2633 { 2634 Mat B; 2635 2636 PetscFunctionBegin; 2637 if (scall == MAT_INITIAL_MATRIX) { 2638 PetscCall(MatCreate(subComm, &B)); 2639 PetscCall(MatSetSizes(B, mat->rmap->n, mat->cmap->n, mat->rmap->n, mat->cmap->n)); 2640 PetscCall(MatSetBlockSizesFromMats(B, mat, mat)); 2641 PetscCall(MatSetType(B, MATSEQAIJ)); 2642 PetscCall(MatDuplicateNoCreate_SeqAIJ(B, mat, MAT_COPY_VALUES, PETSC_TRUE)); 2643 *subMat = B; 2644 } else { 2645 PetscCall(MatCopy_SeqAIJ(mat, *subMat, SAME_NONZERO_PATTERN)); 2646 } 2647 PetscFunctionReturn(PETSC_SUCCESS); 2648 } 2649 2650 static PetscErrorCode MatILUFactor_SeqAIJ(Mat inA, IS row, IS col, const MatFactorInfo *info) 2651 { 2652 Mat_SeqAIJ *a = (Mat_SeqAIJ *)inA->data; 2653 Mat outA; 2654 PetscBool row_identity, col_identity; 2655 2656 PetscFunctionBegin; 2657 PetscCheck(info->levels == 0, PETSC_COMM_SELF, PETSC_ERR_SUP, "Only levels=0 supported for in-place ilu"); 2658 2659 PetscCall(ISIdentity(row, &row_identity)); 2660 PetscCall(ISIdentity(col, &col_identity)); 2661 2662 outA = inA; 2663 outA->factortype = MAT_FACTOR_LU; 2664 PetscCall(PetscFree(inA->solvertype)); 2665 PetscCall(PetscStrallocpy(MATSOLVERPETSC, &inA->solvertype)); 2666 2667 PetscCall(PetscObjectReference((PetscObject)row)); 2668 PetscCall(ISDestroy(&a->row)); 2669 2670 a->row = row; 2671 2672 PetscCall(PetscObjectReference((PetscObject)col)); 2673 PetscCall(ISDestroy(&a->col)); 2674 2675 a->col = col; 2676 2677 /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */ 2678 PetscCall(ISDestroy(&a->icol)); 2679 PetscCall(ISInvertPermutation(col, PETSC_DECIDE, &a->icol)); 2680 2681 if (!a->solve_work) { /* this matrix may have been factored before */ 2682 PetscCall(PetscMalloc1(inA->rmap->n + 1, &a->solve_work)); 2683 } 2684 2685 PetscCall(MatMarkDiagonal_SeqAIJ(inA)); 2686 if (row_identity && col_identity) { 2687 PetscCall(MatLUFactorNumeric_SeqAIJ_inplace(outA, inA, info)); 2688 } else { 2689 PetscCall(MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA, inA, info)); 2690 } 2691 PetscFunctionReturn(PETSC_SUCCESS); 2692 } 2693 2694 PetscErrorCode MatScale_SeqAIJ(Mat inA, PetscScalar alpha) 2695 { 2696 Mat_SeqAIJ *a = (Mat_SeqAIJ *)inA->data; 2697 PetscScalar *v; 2698 PetscBLASInt one = 1, bnz; 2699 2700 PetscFunctionBegin; 2701 PetscCall(MatSeqAIJGetArray(inA, &v)); 2702 PetscCall(PetscBLASIntCast(a->nz, &bnz)); 2703 PetscCallBLAS("BLASscal", BLASscal_(&bnz, &alpha, v, &one)); 2704 PetscCall(PetscLogFlops(a->nz)); 2705 PetscCall(MatSeqAIJRestoreArray(inA, &v)); 2706 PetscCall(MatSeqAIJInvalidateDiagonal(inA)); 2707 PetscFunctionReturn(PETSC_SUCCESS); 2708 } 2709 2710 PetscErrorCode MatDestroySubMatrix_Private(Mat_SubSppt *submatj) 2711 { 2712 PetscInt i; 2713 2714 PetscFunctionBegin; 2715 if (!submatj->id) { /* delete data that are linked only to submats[id=0] */ 2716 PetscCall(PetscFree4(submatj->sbuf1, submatj->ptr, submatj->tmp, submatj->ctr)); 2717 2718 for (i = 0; i < submatj->nrqr; ++i) PetscCall(PetscFree(submatj->sbuf2[i])); 2719 PetscCall(PetscFree3(submatj->sbuf2, submatj->req_size, submatj->req_source1)); 2720 2721 if (submatj->rbuf1) { 2722 PetscCall(PetscFree(submatj->rbuf1[0])); 2723 PetscCall(PetscFree(submatj->rbuf1)); 2724 } 2725 2726 for (i = 0; i < submatj->nrqs; ++i) PetscCall(PetscFree(submatj->rbuf3[i])); 2727 PetscCall(PetscFree3(submatj->req_source2, submatj->rbuf2, submatj->rbuf3)); 2728 PetscCall(PetscFree(submatj->pa)); 2729 } 2730 2731 #if defined(PETSC_USE_CTABLE) 2732 PetscCall(PetscHMapIDestroy(&submatj->rmap)); 2733 if (submatj->cmap_loc) PetscCall(PetscFree(submatj->cmap_loc)); 2734 PetscCall(PetscFree(submatj->rmap_loc)); 2735 #else 2736 PetscCall(PetscFree(submatj->rmap)); 2737 #endif 2738 2739 if (!submatj->allcolumns) { 2740 #if defined(PETSC_USE_CTABLE) 2741 PetscCall(PetscHMapIDestroy(&submatj->cmap)); 2742 #else 2743 PetscCall(PetscFree(submatj->cmap)); 2744 #endif 2745 } 2746 PetscCall(PetscFree(submatj->row2proc)); 2747 2748 PetscCall(PetscFree(submatj)); 2749 PetscFunctionReturn(PETSC_SUCCESS); 2750 } 2751 2752 PetscErrorCode MatDestroySubMatrix_SeqAIJ(Mat C) 2753 { 2754 Mat_SeqAIJ *c = (Mat_SeqAIJ *)C->data; 2755 Mat_SubSppt *submatj = c->submatis1; 2756 2757 PetscFunctionBegin; 2758 PetscCall((*submatj->destroy)(C)); 2759 PetscCall(MatDestroySubMatrix_Private(submatj)); 2760 PetscFunctionReturn(PETSC_SUCCESS); 2761 } 2762 2763 /* Note this has code duplication with MatDestroySubMatrices_SeqBAIJ() */ 2764 static PetscErrorCode MatDestroySubMatrices_SeqAIJ(PetscInt n, Mat *mat[]) 2765 { 2766 PetscInt i; 2767 Mat C; 2768 Mat_SeqAIJ *c; 2769 Mat_SubSppt *submatj; 2770 2771 PetscFunctionBegin; 2772 for (i = 0; i < n; i++) { 2773 C = (*mat)[i]; 2774 c = (Mat_SeqAIJ *)C->data; 2775 submatj = c->submatis1; 2776 if (submatj) { 2777 if (--((PetscObject)C)->refct <= 0) { 2778 PetscCall(PetscFree(C->factorprefix)); 2779 PetscCall((*submatj->destroy)(C)); 2780 PetscCall(MatDestroySubMatrix_Private(submatj)); 2781 PetscCall(PetscFree(C->defaultvectype)); 2782 PetscCall(PetscFree(C->defaultrandtype)); 2783 PetscCall(PetscLayoutDestroy(&C->rmap)); 2784 PetscCall(PetscLayoutDestroy(&C->cmap)); 2785 PetscCall(PetscHeaderDestroy(&C)); 2786 } 2787 } else { 2788 PetscCall(MatDestroy(&C)); 2789 } 2790 } 2791 2792 /* Destroy Dummy submatrices created for reuse */ 2793 PetscCall(MatDestroySubMatrices_Dummy(n, mat)); 2794 2795 PetscCall(PetscFree(*mat)); 2796 PetscFunctionReturn(PETSC_SUCCESS); 2797 } 2798 2799 static PetscErrorCode MatCreateSubMatrices_SeqAIJ(Mat A, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *B[]) 2800 { 2801 PetscInt i; 2802 2803 PetscFunctionBegin; 2804 if (scall == MAT_INITIAL_MATRIX) PetscCall(PetscCalloc1(n + 1, B)); 2805 2806 for (i = 0; i < n; i++) PetscCall(MatCreateSubMatrix_SeqAIJ(A, irow[i], icol[i], PETSC_DECIDE, scall, &(*B)[i])); 2807 PetscFunctionReturn(PETSC_SUCCESS); 2808 } 2809 2810 static PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A, PetscInt is_max, IS is[], PetscInt ov) 2811 { 2812 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2813 PetscInt row, i, j, k, l, ll, m, n, *nidx, isz, val; 2814 const PetscInt *idx; 2815 PetscInt start, end, *ai, *aj, bs = A->rmap->bs == A->cmap->bs ? A->rmap->bs : 1; 2816 PetscBT table; 2817 2818 PetscFunctionBegin; 2819 m = A->rmap->n / bs; 2820 ai = a->i; 2821 aj = a->j; 2822 2823 PetscCheck(ov >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "illegal negative overlap value used"); 2824 2825 PetscCall(PetscMalloc1(m + 1, &nidx)); 2826 PetscCall(PetscBTCreate(m, &table)); 2827 2828 for (i = 0; i < is_max; i++) { 2829 /* Initialize the two local arrays */ 2830 isz = 0; 2831 PetscCall(PetscBTMemzero(m, table)); 2832 2833 /* Extract the indices, assume there can be duplicate entries */ 2834 PetscCall(ISGetIndices(is[i], &idx)); 2835 PetscCall(ISGetLocalSize(is[i], &n)); 2836 2837 if (bs > 1) { 2838 /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */ 2839 for (j = 0; j < n; ++j) { 2840 if (!PetscBTLookupSet(table, idx[j] / bs)) nidx[isz++] = idx[j] / bs; 2841 } 2842 PetscCall(ISRestoreIndices(is[i], &idx)); 2843 PetscCall(ISDestroy(&is[i])); 2844 2845 k = 0; 2846 for (j = 0; j < ov; j++) { /* for each overlap */ 2847 n = isz; 2848 for (; k < n; k++) { /* do only those rows in nidx[k], which are not done yet */ 2849 for (ll = 0; ll < bs; ll++) { 2850 row = bs * nidx[k] + ll; 2851 start = ai[row]; 2852 end = ai[row + 1]; 2853 for (l = start; l < end; l++) { 2854 val = aj[l] / bs; 2855 if (!PetscBTLookupSet(table, val)) nidx[isz++] = val; 2856 } 2857 } 2858 } 2859 } 2860 PetscCall(ISCreateBlock(PETSC_COMM_SELF, bs, isz, nidx, PETSC_COPY_VALUES, is + i)); 2861 } else { 2862 /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */ 2863 for (j = 0; j < n; ++j) { 2864 if (!PetscBTLookupSet(table, idx[j])) nidx[isz++] = idx[j]; 2865 } 2866 PetscCall(ISRestoreIndices(is[i], &idx)); 2867 PetscCall(ISDestroy(&is[i])); 2868 2869 k = 0; 2870 for (j = 0; j < ov; j++) { /* for each overlap */ 2871 n = isz; 2872 for (; k < n; k++) { /* do only those rows in nidx[k], which are not done yet */ 2873 row = nidx[k]; 2874 start = ai[row]; 2875 end = ai[row + 1]; 2876 for (l = start; l < end; l++) { 2877 val = aj[l]; 2878 if (!PetscBTLookupSet(table, val)) nidx[isz++] = val; 2879 } 2880 } 2881 } 2882 PetscCall(ISCreateGeneral(PETSC_COMM_SELF, isz, nidx, PETSC_COPY_VALUES, is + i)); 2883 } 2884 } 2885 PetscCall(PetscBTDestroy(&table)); 2886 PetscCall(PetscFree(nidx)); 2887 PetscFunctionReturn(PETSC_SUCCESS); 2888 } 2889 2890 static PetscErrorCode MatPermute_SeqAIJ(Mat A, IS rowp, IS colp, Mat *B) 2891 { 2892 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2893 PetscInt i, nz = 0, m = A->rmap->n, n = A->cmap->n; 2894 const PetscInt *row, *col; 2895 PetscInt *cnew, j, *lens; 2896 IS icolp, irowp; 2897 PetscInt *cwork = NULL; 2898 PetscScalar *vwork = NULL; 2899 2900 PetscFunctionBegin; 2901 PetscCall(ISInvertPermutation(rowp, PETSC_DECIDE, &irowp)); 2902 PetscCall(ISGetIndices(irowp, &row)); 2903 PetscCall(ISInvertPermutation(colp, PETSC_DECIDE, &icolp)); 2904 PetscCall(ISGetIndices(icolp, &col)); 2905 2906 /* determine lengths of permuted rows */ 2907 PetscCall(PetscMalloc1(m + 1, &lens)); 2908 for (i = 0; i < m; i++) lens[row[i]] = a->i[i + 1] - a->i[i]; 2909 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), B)); 2910 PetscCall(MatSetSizes(*B, m, n, m, n)); 2911 PetscCall(MatSetBlockSizesFromMats(*B, A, A)); 2912 PetscCall(MatSetType(*B, ((PetscObject)A)->type_name)); 2913 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(*B, 0, lens)); 2914 PetscCall(PetscFree(lens)); 2915 2916 PetscCall(PetscMalloc1(n, &cnew)); 2917 for (i = 0; i < m; i++) { 2918 PetscCall(MatGetRow_SeqAIJ(A, i, &nz, &cwork, &vwork)); 2919 for (j = 0; j < nz; j++) cnew[j] = col[cwork[j]]; 2920 PetscCall(MatSetValues_SeqAIJ(*B, 1, &row[i], nz, cnew, vwork, INSERT_VALUES)); 2921 PetscCall(MatRestoreRow_SeqAIJ(A, i, &nz, &cwork, &vwork)); 2922 } 2923 PetscCall(PetscFree(cnew)); 2924 2925 (*B)->assembled = PETSC_FALSE; 2926 2927 #if defined(PETSC_HAVE_DEVICE) 2928 PetscCall(MatBindToCPU(*B, A->boundtocpu)); 2929 #endif 2930 PetscCall(MatAssemblyBegin(*B, MAT_FINAL_ASSEMBLY)); 2931 PetscCall(MatAssemblyEnd(*B, MAT_FINAL_ASSEMBLY)); 2932 PetscCall(ISRestoreIndices(irowp, &row)); 2933 PetscCall(ISRestoreIndices(icolp, &col)); 2934 PetscCall(ISDestroy(&irowp)); 2935 PetscCall(ISDestroy(&icolp)); 2936 if (rowp == colp) PetscCall(MatPropagateSymmetryOptions(A, *B)); 2937 PetscFunctionReturn(PETSC_SUCCESS); 2938 } 2939 2940 PetscErrorCode MatCopy_SeqAIJ(Mat A, Mat B, MatStructure str) 2941 { 2942 PetscFunctionBegin; 2943 /* If the two matrices have the same copy implementation, use fast copy. */ 2944 if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) { 2945 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2946 Mat_SeqAIJ *b = (Mat_SeqAIJ *)B->data; 2947 const PetscScalar *aa; 2948 PetscScalar *bb; 2949 2950 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 2951 PetscCall(MatSeqAIJGetArrayWrite(B, &bb)); 2952 2953 PetscCheck(a->i[A->rmap->n] == b->i[B->rmap->n], PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Number of nonzeros in two matrices are different %" PetscInt_FMT " != %" PetscInt_FMT, a->i[A->rmap->n], b->i[B->rmap->n]); 2954 PetscCall(PetscArraycpy(bb, aa, a->i[A->rmap->n])); 2955 PetscCall(PetscObjectStateIncrease((PetscObject)B)); 2956 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 2957 PetscCall(MatSeqAIJRestoreArrayWrite(B, &bb)); 2958 } else { 2959 PetscCall(MatCopy_Basic(A, B, str)); 2960 } 2961 PetscFunctionReturn(PETSC_SUCCESS); 2962 } 2963 2964 PETSC_INTERN PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A, PetscScalar *array[]) 2965 { 2966 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 2967 2968 PetscFunctionBegin; 2969 *array = a->a; 2970 PetscFunctionReturn(PETSC_SUCCESS); 2971 } 2972 2973 PETSC_INTERN PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A, PetscScalar *array[]) 2974 { 2975 PetscFunctionBegin; 2976 *array = NULL; 2977 PetscFunctionReturn(PETSC_SUCCESS); 2978 } 2979 2980 /* 2981 Computes the number of nonzeros per row needed for preallocation when X and Y 2982 have different nonzero structure. 2983 */ 2984 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m, const PetscInt *xi, const PetscInt *xj, const PetscInt *yi, const PetscInt *yj, PetscInt *nnz) 2985 { 2986 PetscInt i, j, k, nzx, nzy; 2987 2988 PetscFunctionBegin; 2989 /* Set the number of nonzeros in the new matrix */ 2990 for (i = 0; i < m; i++) { 2991 const PetscInt *xjj = PetscSafePointerPlusOffset(xj, xi[i]), *yjj = PetscSafePointerPlusOffset(yj, yi[i]); 2992 nzx = xi[i + 1] - xi[i]; 2993 nzy = yi[i + 1] - yi[i]; 2994 nnz[i] = 0; 2995 for (j = 0, k = 0; j < nzx; j++) { /* Point in X */ 2996 for (; k < nzy && yjj[k] < xjj[j]; k++) nnz[i]++; /* Catch up to X */ 2997 if (k < nzy && yjj[k] == xjj[j]) k++; /* Skip duplicate */ 2998 nnz[i]++; 2999 } 3000 for (; k < nzy; k++) nnz[i]++; 3001 } 3002 PetscFunctionReturn(PETSC_SUCCESS); 3003 } 3004 3005 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y, Mat X, PetscInt *nnz) 3006 { 3007 PetscInt m = Y->rmap->N; 3008 Mat_SeqAIJ *x = (Mat_SeqAIJ *)X->data; 3009 Mat_SeqAIJ *y = (Mat_SeqAIJ *)Y->data; 3010 3011 PetscFunctionBegin; 3012 /* Set the number of nonzeros in the new matrix */ 3013 PetscCall(MatAXPYGetPreallocation_SeqX_private(m, x->i, x->j, y->i, y->j, nnz)); 3014 PetscFunctionReturn(PETSC_SUCCESS); 3015 } 3016 3017 PetscErrorCode MatAXPY_SeqAIJ(Mat Y, PetscScalar a, Mat X, MatStructure str) 3018 { 3019 Mat_SeqAIJ *x = (Mat_SeqAIJ *)X->data, *y = (Mat_SeqAIJ *)Y->data; 3020 3021 PetscFunctionBegin; 3022 if (str == UNKNOWN_NONZERO_PATTERN || (PetscDefined(USE_DEBUG) && str == SAME_NONZERO_PATTERN)) { 3023 PetscBool e = x->nz == y->nz ? PETSC_TRUE : PETSC_FALSE; 3024 if (e) { 3025 PetscCall(PetscArraycmp(x->i, y->i, Y->rmap->n + 1, &e)); 3026 if (e) { 3027 PetscCall(PetscArraycmp(x->j, y->j, y->nz, &e)); 3028 if (e) str = SAME_NONZERO_PATTERN; 3029 } 3030 } 3031 if (!e) PetscCheck(str != SAME_NONZERO_PATTERN, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "MatStructure is not SAME_NONZERO_PATTERN"); 3032 } 3033 if (str == SAME_NONZERO_PATTERN) { 3034 const PetscScalar *xa; 3035 PetscScalar *ya, alpha = a; 3036 PetscBLASInt one = 1, bnz; 3037 3038 PetscCall(PetscBLASIntCast(x->nz, &bnz)); 3039 PetscCall(MatSeqAIJGetArray(Y, &ya)); 3040 PetscCall(MatSeqAIJGetArrayRead(X, &xa)); 3041 PetscCallBLAS("BLASaxpy", BLASaxpy_(&bnz, &alpha, xa, &one, ya, &one)); 3042 PetscCall(MatSeqAIJRestoreArrayRead(X, &xa)); 3043 PetscCall(MatSeqAIJRestoreArray(Y, &ya)); 3044 PetscCall(PetscLogFlops(2.0 * bnz)); 3045 PetscCall(MatSeqAIJInvalidateDiagonal(Y)); 3046 PetscCall(PetscObjectStateIncrease((PetscObject)Y)); 3047 } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */ 3048 PetscCall(MatAXPY_Basic(Y, a, X, str)); 3049 } else { 3050 Mat B; 3051 PetscInt *nnz; 3052 PetscCall(PetscMalloc1(Y->rmap->N, &nnz)); 3053 PetscCall(MatCreate(PetscObjectComm((PetscObject)Y), &B)); 3054 PetscCall(PetscObjectSetName((PetscObject)B, ((PetscObject)Y)->name)); 3055 PetscCall(MatSetLayouts(B, Y->rmap, Y->cmap)); 3056 PetscCall(MatSetType(B, ((PetscObject)Y)->type_name)); 3057 PetscCall(MatAXPYGetPreallocation_SeqAIJ(Y, X, nnz)); 3058 PetscCall(MatSeqAIJSetPreallocation(B, 0, nnz)); 3059 PetscCall(MatAXPY_BasicWithPreallocation(B, Y, a, X, str)); 3060 PetscCall(MatHeaderMerge(Y, &B)); 3061 PetscCall(MatSeqAIJCheckInode(Y)); 3062 PetscCall(PetscFree(nnz)); 3063 } 3064 PetscFunctionReturn(PETSC_SUCCESS); 3065 } 3066 3067 PETSC_INTERN PetscErrorCode MatConjugate_SeqAIJ(Mat mat) 3068 { 3069 #if defined(PETSC_USE_COMPLEX) 3070 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 3071 PetscInt i, nz; 3072 PetscScalar *a; 3073 3074 PetscFunctionBegin; 3075 nz = aij->nz; 3076 PetscCall(MatSeqAIJGetArray(mat, &a)); 3077 for (i = 0; i < nz; i++) a[i] = PetscConj(a[i]); 3078 PetscCall(MatSeqAIJRestoreArray(mat, &a)); 3079 #else 3080 PetscFunctionBegin; 3081 #endif 3082 PetscFunctionReturn(PETSC_SUCCESS); 3083 } 3084 3085 static PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A, Vec v, PetscInt idx[]) 3086 { 3087 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3088 PetscInt i, j, m = A->rmap->n, *ai, *aj, ncols, n; 3089 PetscReal atmp; 3090 PetscScalar *x; 3091 const MatScalar *aa, *av; 3092 3093 PetscFunctionBegin; 3094 PetscCheck(!A->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3095 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 3096 aa = av; 3097 ai = a->i; 3098 aj = a->j; 3099 3100 PetscCall(VecGetArrayWrite(v, &x)); 3101 PetscCall(VecGetLocalSize(v, &n)); 3102 PetscCheck(n == A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector"); 3103 for (i = 0; i < m; i++) { 3104 ncols = ai[1] - ai[0]; 3105 ai++; 3106 x[i] = 0; 3107 for (j = 0; j < ncols; j++) { 3108 atmp = PetscAbsScalar(*aa); 3109 if (PetscAbsScalar(x[i]) < atmp) { 3110 x[i] = atmp; 3111 if (idx) idx[i] = *aj; 3112 } 3113 aa++; 3114 aj++; 3115 } 3116 } 3117 PetscCall(VecRestoreArrayWrite(v, &x)); 3118 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 3119 PetscFunctionReturn(PETSC_SUCCESS); 3120 } 3121 3122 static PetscErrorCode MatGetRowSumAbs_SeqAIJ(Mat A, Vec v) 3123 { 3124 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3125 PetscInt i, j, m = A->rmap->n, *ai, ncols, n; 3126 PetscScalar *x; 3127 const MatScalar *aa, *av; 3128 3129 PetscFunctionBegin; 3130 PetscCheck(!A->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3131 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 3132 aa = av; 3133 ai = a->i; 3134 3135 PetscCall(VecGetArrayWrite(v, &x)); 3136 PetscCall(VecGetLocalSize(v, &n)); 3137 PetscCheck(n == A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector"); 3138 for (i = 0; i < m; i++) { 3139 ncols = ai[1] - ai[0]; 3140 ai++; 3141 x[i] = 0; 3142 for (j = 0; j < ncols; j++) { 3143 x[i] += PetscAbsScalar(*aa); 3144 aa++; 3145 } 3146 } 3147 PetscCall(VecRestoreArrayWrite(v, &x)); 3148 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 3149 PetscFunctionReturn(PETSC_SUCCESS); 3150 } 3151 3152 static PetscErrorCode MatGetRowMax_SeqAIJ(Mat A, Vec v, PetscInt idx[]) 3153 { 3154 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3155 PetscInt i, j, m = A->rmap->n, *ai, *aj, ncols, n; 3156 PetscScalar *x; 3157 const MatScalar *aa, *av; 3158 3159 PetscFunctionBegin; 3160 PetscCheck(!A->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3161 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 3162 aa = av; 3163 ai = a->i; 3164 aj = a->j; 3165 3166 PetscCall(VecGetArrayWrite(v, &x)); 3167 PetscCall(VecGetLocalSize(v, &n)); 3168 PetscCheck(n == A->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector"); 3169 for (i = 0; i < m; i++) { 3170 ncols = ai[1] - ai[0]; 3171 ai++; 3172 if (ncols == A->cmap->n) { /* row is dense */ 3173 x[i] = *aa; 3174 if (idx) idx[i] = 0; 3175 } else { /* row is sparse so already KNOW maximum is 0.0 or higher */ 3176 x[i] = 0.0; 3177 if (idx) { 3178 for (j = 0; j < ncols; j++) { /* find first implicit 0.0 in the row */ 3179 if (aj[j] > j) { 3180 idx[i] = j; 3181 break; 3182 } 3183 } 3184 /* in case first implicit 0.0 in the row occurs at ncols-th column */ 3185 if (j == ncols && j < A->cmap->n) idx[i] = j; 3186 } 3187 } 3188 for (j = 0; j < ncols; j++) { 3189 if (PetscRealPart(x[i]) < PetscRealPart(*aa)) { 3190 x[i] = *aa; 3191 if (idx) idx[i] = *aj; 3192 } 3193 aa++; 3194 aj++; 3195 } 3196 } 3197 PetscCall(VecRestoreArrayWrite(v, &x)); 3198 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 3199 PetscFunctionReturn(PETSC_SUCCESS); 3200 } 3201 3202 static PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A, Vec v, PetscInt idx[]) 3203 { 3204 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3205 PetscInt i, j, m = A->rmap->n, *ai, *aj, ncols, n; 3206 PetscScalar *x; 3207 const MatScalar *aa, *av; 3208 3209 PetscFunctionBegin; 3210 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 3211 aa = av; 3212 ai = a->i; 3213 aj = a->j; 3214 3215 PetscCall(VecGetArrayWrite(v, &x)); 3216 PetscCall(VecGetLocalSize(v, &n)); 3217 PetscCheck(n == m, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector, %" PetscInt_FMT " vs. %" PetscInt_FMT " rows", m, n); 3218 for (i = 0; i < m; i++) { 3219 ncols = ai[1] - ai[0]; 3220 ai++; 3221 if (ncols == A->cmap->n) { /* row is dense */ 3222 x[i] = *aa; 3223 if (idx) idx[i] = 0; 3224 } else { /* row is sparse so already KNOW minimum is 0.0 or higher */ 3225 x[i] = 0.0; 3226 if (idx) { /* find first implicit 0.0 in the row */ 3227 for (j = 0; j < ncols; j++) { 3228 if (aj[j] > j) { 3229 idx[i] = j; 3230 break; 3231 } 3232 } 3233 /* in case first implicit 0.0 in the row occurs at ncols-th column */ 3234 if (j == ncols && j < A->cmap->n) idx[i] = j; 3235 } 3236 } 3237 for (j = 0; j < ncols; j++) { 3238 if (PetscAbsScalar(x[i]) > PetscAbsScalar(*aa)) { 3239 x[i] = *aa; 3240 if (idx) idx[i] = *aj; 3241 } 3242 aa++; 3243 aj++; 3244 } 3245 } 3246 PetscCall(VecRestoreArrayWrite(v, &x)); 3247 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 3248 PetscFunctionReturn(PETSC_SUCCESS); 3249 } 3250 3251 static PetscErrorCode MatGetRowMin_SeqAIJ(Mat A, Vec v, PetscInt idx[]) 3252 { 3253 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3254 PetscInt i, j, m = A->rmap->n, ncols, n; 3255 const PetscInt *ai, *aj; 3256 PetscScalar *x; 3257 const MatScalar *aa, *av; 3258 3259 PetscFunctionBegin; 3260 PetscCheck(!A->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3261 PetscCall(MatSeqAIJGetArrayRead(A, &av)); 3262 aa = av; 3263 ai = a->i; 3264 aj = a->j; 3265 3266 PetscCall(VecGetArrayWrite(v, &x)); 3267 PetscCall(VecGetLocalSize(v, &n)); 3268 PetscCheck(n == m, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Nonconforming matrix and vector"); 3269 for (i = 0; i < m; i++) { 3270 ncols = ai[1] - ai[0]; 3271 ai++; 3272 if (ncols == A->cmap->n) { /* row is dense */ 3273 x[i] = *aa; 3274 if (idx) idx[i] = 0; 3275 } else { /* row is sparse so already KNOW minimum is 0.0 or lower */ 3276 x[i] = 0.0; 3277 if (idx) { /* find first implicit 0.0 in the row */ 3278 for (j = 0; j < ncols; j++) { 3279 if (aj[j] > j) { 3280 idx[i] = j; 3281 break; 3282 } 3283 } 3284 /* in case first implicit 0.0 in the row occurs at ncols-th column */ 3285 if (j == ncols && j < A->cmap->n) idx[i] = j; 3286 } 3287 } 3288 for (j = 0; j < ncols; j++) { 3289 if (PetscRealPart(x[i]) > PetscRealPart(*aa)) { 3290 x[i] = *aa; 3291 if (idx) idx[i] = *aj; 3292 } 3293 aa++; 3294 aj++; 3295 } 3296 } 3297 PetscCall(VecRestoreArrayWrite(v, &x)); 3298 PetscCall(MatSeqAIJRestoreArrayRead(A, &av)); 3299 PetscFunctionReturn(PETSC_SUCCESS); 3300 } 3301 3302 static PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A, const PetscScalar **values) 3303 { 3304 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 3305 PetscInt i, bs = A->rmap->bs, mbs = A->rmap->n / bs, ipvt[5], bs2 = bs * bs, *v_pivots, ij[7], *IJ, j; 3306 MatScalar *diag, work[25], *v_work; 3307 const PetscReal shift = 0.0; 3308 PetscBool allowzeropivot, zeropivotdetected = PETSC_FALSE; 3309 3310 PetscFunctionBegin; 3311 allowzeropivot = PetscNot(A->erroriffailure); 3312 if (a->ibdiagvalid) { 3313 if (values) *values = a->ibdiag; 3314 PetscFunctionReturn(PETSC_SUCCESS); 3315 } 3316 PetscCall(MatMarkDiagonal_SeqAIJ(A)); 3317 if (!a->ibdiag) PetscCall(PetscMalloc1(bs2 * mbs, &a->ibdiag)); 3318 diag = a->ibdiag; 3319 if (values) *values = a->ibdiag; 3320 /* factor and invert each block */ 3321 switch (bs) { 3322 case 1: 3323 for (i = 0; i < mbs; i++) { 3324 PetscCall(MatGetValues(A, 1, &i, 1, &i, diag + i)); 3325 if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) { 3326 PetscCheck(allowzeropivot, PETSC_COMM_SELF, PETSC_ERR_MAT_LU_ZRPVT, "Zero pivot, row %" PetscInt_FMT " pivot %g tolerance %g", i, (double)PetscAbsScalar(diag[i]), (double)PETSC_MACHINE_EPSILON); 3327 A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3328 A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]); 3329 A->factorerror_zeropivot_row = i; 3330 PetscCall(PetscInfo(A, "Zero pivot, row %" PetscInt_FMT " pivot %g tolerance %g\n", i, (double)PetscAbsScalar(diag[i]), (double)PETSC_MACHINE_EPSILON)); 3331 } 3332 diag[i] = (PetscScalar)1.0 / (diag[i] + shift); 3333 } 3334 break; 3335 case 2: 3336 for (i = 0; i < mbs; i++) { 3337 ij[0] = 2 * i; 3338 ij[1] = 2 * i + 1; 3339 PetscCall(MatGetValues(A, 2, ij, 2, ij, diag)); 3340 PetscCall(PetscKernel_A_gets_inverse_A_2(diag, shift, allowzeropivot, &zeropivotdetected)); 3341 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3342 PetscCall(PetscKernel_A_gets_transpose_A_2(diag)); 3343 diag += 4; 3344 } 3345 break; 3346 case 3: 3347 for (i = 0; i < mbs; i++) { 3348 ij[0] = 3 * i; 3349 ij[1] = 3 * i + 1; 3350 ij[2] = 3 * i + 2; 3351 PetscCall(MatGetValues(A, 3, ij, 3, ij, diag)); 3352 PetscCall(PetscKernel_A_gets_inverse_A_3(diag, shift, allowzeropivot, &zeropivotdetected)); 3353 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3354 PetscCall(PetscKernel_A_gets_transpose_A_3(diag)); 3355 diag += 9; 3356 } 3357 break; 3358 case 4: 3359 for (i = 0; i < mbs; i++) { 3360 ij[0] = 4 * i; 3361 ij[1] = 4 * i + 1; 3362 ij[2] = 4 * i + 2; 3363 ij[3] = 4 * i + 3; 3364 PetscCall(MatGetValues(A, 4, ij, 4, ij, diag)); 3365 PetscCall(PetscKernel_A_gets_inverse_A_4(diag, shift, allowzeropivot, &zeropivotdetected)); 3366 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3367 PetscCall(PetscKernel_A_gets_transpose_A_4(diag)); 3368 diag += 16; 3369 } 3370 break; 3371 case 5: 3372 for (i = 0; i < mbs; i++) { 3373 ij[0] = 5 * i; 3374 ij[1] = 5 * i + 1; 3375 ij[2] = 5 * i + 2; 3376 ij[3] = 5 * i + 3; 3377 ij[4] = 5 * i + 4; 3378 PetscCall(MatGetValues(A, 5, ij, 5, ij, diag)); 3379 PetscCall(PetscKernel_A_gets_inverse_A_5(diag, ipvt, work, shift, allowzeropivot, &zeropivotdetected)); 3380 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3381 PetscCall(PetscKernel_A_gets_transpose_A_5(diag)); 3382 diag += 25; 3383 } 3384 break; 3385 case 6: 3386 for (i = 0; i < mbs; i++) { 3387 ij[0] = 6 * i; 3388 ij[1] = 6 * i + 1; 3389 ij[2] = 6 * i + 2; 3390 ij[3] = 6 * i + 3; 3391 ij[4] = 6 * i + 4; 3392 ij[5] = 6 * i + 5; 3393 PetscCall(MatGetValues(A, 6, ij, 6, ij, diag)); 3394 PetscCall(PetscKernel_A_gets_inverse_A_6(diag, shift, allowzeropivot, &zeropivotdetected)); 3395 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3396 PetscCall(PetscKernel_A_gets_transpose_A_6(diag)); 3397 diag += 36; 3398 } 3399 break; 3400 case 7: 3401 for (i = 0; i < mbs; i++) { 3402 ij[0] = 7 * i; 3403 ij[1] = 7 * i + 1; 3404 ij[2] = 7 * i + 2; 3405 ij[3] = 7 * i + 3; 3406 ij[4] = 7 * i + 4; 3407 ij[5] = 7 * i + 5; 3408 ij[6] = 7 * i + 6; 3409 PetscCall(MatGetValues(A, 7, ij, 7, ij, diag)); 3410 PetscCall(PetscKernel_A_gets_inverse_A_7(diag, shift, allowzeropivot, &zeropivotdetected)); 3411 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3412 PetscCall(PetscKernel_A_gets_transpose_A_7(diag)); 3413 diag += 49; 3414 } 3415 break; 3416 default: 3417 PetscCall(PetscMalloc3(bs, &v_work, bs, &v_pivots, bs, &IJ)); 3418 for (i = 0; i < mbs; i++) { 3419 for (j = 0; j < bs; j++) IJ[j] = bs * i + j; 3420 PetscCall(MatGetValues(A, bs, IJ, bs, IJ, diag)); 3421 PetscCall(PetscKernel_A_gets_inverse_A(bs, diag, v_pivots, v_work, allowzeropivot, &zeropivotdetected)); 3422 if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT; 3423 PetscCall(PetscKernel_A_gets_transpose_A_N(diag, bs)); 3424 diag += bs2; 3425 } 3426 PetscCall(PetscFree3(v_work, v_pivots, IJ)); 3427 } 3428 a->ibdiagvalid = PETSC_TRUE; 3429 PetscFunctionReturn(PETSC_SUCCESS); 3430 } 3431 3432 static PetscErrorCode MatSetRandom_SeqAIJ(Mat x, PetscRandom rctx) 3433 { 3434 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)x->data; 3435 PetscScalar a, *aa; 3436 PetscInt m, n, i, j, col; 3437 3438 PetscFunctionBegin; 3439 if (!x->assembled) { 3440 PetscCall(MatGetSize(x, &m, &n)); 3441 for (i = 0; i < m; i++) { 3442 for (j = 0; j < aij->imax[i]; j++) { 3443 PetscCall(PetscRandomGetValue(rctx, &a)); 3444 col = (PetscInt)(n * PetscRealPart(a)); 3445 PetscCall(MatSetValues(x, 1, &i, 1, &col, &a, ADD_VALUES)); 3446 } 3447 } 3448 } else { 3449 PetscCall(MatSeqAIJGetArrayWrite(x, &aa)); 3450 for (i = 0; i < aij->nz; i++) PetscCall(PetscRandomGetValue(rctx, aa + i)); 3451 PetscCall(MatSeqAIJRestoreArrayWrite(x, &aa)); 3452 } 3453 PetscCall(MatAssemblyBegin(x, MAT_FINAL_ASSEMBLY)); 3454 PetscCall(MatAssemblyEnd(x, MAT_FINAL_ASSEMBLY)); 3455 PetscFunctionReturn(PETSC_SUCCESS); 3456 } 3457 3458 /* Like MatSetRandom_SeqAIJ, but do not set values on columns in range of [low, high) */ 3459 PetscErrorCode MatSetRandomSkipColumnRange_SeqAIJ_Private(Mat x, PetscInt low, PetscInt high, PetscRandom rctx) 3460 { 3461 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)x->data; 3462 PetscScalar a; 3463 PetscInt m, n, i, j, col, nskip; 3464 3465 PetscFunctionBegin; 3466 nskip = high - low; 3467 PetscCall(MatGetSize(x, &m, &n)); 3468 n -= nskip; /* shrink number of columns where nonzeros can be set */ 3469 for (i = 0; i < m; i++) { 3470 for (j = 0; j < aij->imax[i]; j++) { 3471 PetscCall(PetscRandomGetValue(rctx, &a)); 3472 col = (PetscInt)(n * PetscRealPart(a)); 3473 if (col >= low) col += nskip; /* shift col rightward to skip the hole */ 3474 PetscCall(MatSetValues(x, 1, &i, 1, &col, &a, ADD_VALUES)); 3475 } 3476 } 3477 PetscCall(MatAssemblyBegin(x, MAT_FINAL_ASSEMBLY)); 3478 PetscCall(MatAssemblyEnd(x, MAT_FINAL_ASSEMBLY)); 3479 PetscFunctionReturn(PETSC_SUCCESS); 3480 } 3481 3482 static struct _MatOps MatOps_Values = {MatSetValues_SeqAIJ, 3483 MatGetRow_SeqAIJ, 3484 MatRestoreRow_SeqAIJ, 3485 MatMult_SeqAIJ, 3486 /* 4*/ MatMultAdd_SeqAIJ, 3487 MatMultTranspose_SeqAIJ, 3488 MatMultTransposeAdd_SeqAIJ, 3489 NULL, 3490 NULL, 3491 NULL, 3492 /* 10*/ NULL, 3493 MatLUFactor_SeqAIJ, 3494 NULL, 3495 MatSOR_SeqAIJ, 3496 MatTranspose_SeqAIJ, 3497 /* 15*/ MatGetInfo_SeqAIJ, 3498 MatEqual_SeqAIJ, 3499 MatGetDiagonal_SeqAIJ, 3500 MatDiagonalScale_SeqAIJ, 3501 MatNorm_SeqAIJ, 3502 /* 20*/ NULL, 3503 MatAssemblyEnd_SeqAIJ, 3504 MatSetOption_SeqAIJ, 3505 MatZeroEntries_SeqAIJ, 3506 /* 24*/ MatZeroRows_SeqAIJ, 3507 NULL, 3508 NULL, 3509 NULL, 3510 NULL, 3511 /* 29*/ MatSetUp_Seq_Hash, 3512 NULL, 3513 NULL, 3514 NULL, 3515 NULL, 3516 /* 34*/ MatDuplicate_SeqAIJ, 3517 NULL, 3518 NULL, 3519 MatILUFactor_SeqAIJ, 3520 NULL, 3521 /* 39*/ MatAXPY_SeqAIJ, 3522 MatCreateSubMatrices_SeqAIJ, 3523 MatIncreaseOverlap_SeqAIJ, 3524 MatGetValues_SeqAIJ, 3525 MatCopy_SeqAIJ, 3526 /* 44*/ MatGetRowMax_SeqAIJ, 3527 MatScale_SeqAIJ, 3528 MatShift_SeqAIJ, 3529 MatDiagonalSet_SeqAIJ, 3530 MatZeroRowsColumns_SeqAIJ, 3531 /* 49*/ MatSetRandom_SeqAIJ, 3532 MatGetRowIJ_SeqAIJ, 3533 MatRestoreRowIJ_SeqAIJ, 3534 MatGetColumnIJ_SeqAIJ, 3535 MatRestoreColumnIJ_SeqAIJ, 3536 /* 54*/ MatFDColoringCreate_SeqXAIJ, 3537 NULL, 3538 NULL, 3539 MatPermute_SeqAIJ, 3540 NULL, 3541 /* 59*/ NULL, 3542 MatDestroy_SeqAIJ, 3543 MatView_SeqAIJ, 3544 NULL, 3545 NULL, 3546 /* 64*/ MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ, 3547 NULL, 3548 NULL, 3549 NULL, 3550 MatGetRowMaxAbs_SeqAIJ, 3551 /* 69*/ MatGetRowMinAbs_SeqAIJ, 3552 NULL, 3553 NULL, 3554 MatFDColoringApply_AIJ, 3555 NULL, 3556 /* 74*/ MatFindZeroDiagonals_SeqAIJ, 3557 NULL, 3558 NULL, 3559 NULL, 3560 MatLoad_SeqAIJ, 3561 /* 79*/ NULL, 3562 NULL, 3563 NULL, 3564 NULL, 3565 NULL, 3566 /* 84*/ NULL, 3567 MatMatMultNumeric_SeqAIJ_SeqAIJ, 3568 MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy, 3569 NULL, 3570 MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ, 3571 /* 90*/ NULL, 3572 MatProductSetFromOptions_SeqAIJ, 3573 NULL, 3574 NULL, 3575 MatConjugate_SeqAIJ, 3576 /* 94*/ NULL, 3577 MatSetValuesRow_SeqAIJ, 3578 MatRealPart_SeqAIJ, 3579 MatImaginaryPart_SeqAIJ, 3580 NULL, 3581 /* 99*/ NULL, 3582 MatMatSolve_SeqAIJ, 3583 NULL, 3584 MatGetRowMin_SeqAIJ, 3585 NULL, 3586 /*104*/ MatMissingDiagonal_SeqAIJ, 3587 NULL, 3588 NULL, 3589 NULL, 3590 NULL, 3591 /*109*/ NULL, 3592 NULL, 3593 NULL, 3594 NULL, 3595 NULL, 3596 /*114*/ MatGetMultiProcBlock_SeqAIJ, 3597 MatFindNonzeroRows_SeqAIJ, 3598 MatGetColumnReductions_SeqAIJ, 3599 MatInvertBlockDiagonal_SeqAIJ, 3600 MatInvertVariableBlockDiagonal_SeqAIJ, 3601 /*119*/ NULL, 3602 NULL, 3603 NULL, 3604 MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ, 3605 MatTransposeColoringCreate_SeqAIJ, 3606 /*124*/ MatTransColoringApplySpToDen_SeqAIJ, 3607 MatTransColoringApplyDenToSp_SeqAIJ, 3608 MatRARtNumeric_SeqAIJ_SeqAIJ, 3609 NULL, 3610 NULL, 3611 /*129*/ MatFDColoringSetUp_SeqXAIJ, 3612 MatFindOffBlockDiagonalEntries_SeqAIJ, 3613 MatCreateMPIMatConcatenateSeqMat_SeqAIJ, 3614 MatDestroySubMatrices_SeqAIJ, 3615 NULL, 3616 /*134*/ NULL, 3617 MatCreateGraph_Simple_AIJ, 3618 MatTransposeSymbolic_SeqAIJ, 3619 MatEliminateZeros_SeqAIJ, 3620 MatGetRowSumAbs_SeqAIJ, 3621 /*139*/ NULL, 3622 NULL, 3623 NULL, 3624 MatCopyHashToXAIJ_Seq_Hash, 3625 NULL, 3626 NULL}; 3627 3628 static PetscErrorCode MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat, PetscInt *indices) 3629 { 3630 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 3631 PetscInt i, nz, n; 3632 3633 PetscFunctionBegin; 3634 nz = aij->maxnz; 3635 n = mat->rmap->n; 3636 for (i = 0; i < nz; i++) aij->j[i] = indices[i]; 3637 aij->nz = nz; 3638 for (i = 0; i < n; i++) aij->ilen[i] = aij->imax[i]; 3639 PetscFunctionReturn(PETSC_SUCCESS); 3640 } 3641 3642 /* 3643 * Given a sparse matrix with global column indices, compact it by using a local column space. 3644 * The result matrix helps saving memory in other algorithms, such as MatPtAPSymbolic_MPIAIJ_MPIAIJ_scalable() 3645 */ 3646 PetscErrorCode MatSeqAIJCompactOutExtraColumns_SeqAIJ(Mat mat, ISLocalToGlobalMapping *mapping) 3647 { 3648 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 3649 PetscHMapI gid1_lid1; 3650 PetscHashIter tpos; 3651 PetscInt gid, lid, i, ec, nz = aij->nz; 3652 PetscInt *garray, *jj = aij->j; 3653 3654 PetscFunctionBegin; 3655 PetscValidHeaderSpecific(mat, MAT_CLASSID, 1); 3656 PetscAssertPointer(mapping, 2); 3657 /* use a table */ 3658 PetscCall(PetscHMapICreateWithSize(mat->rmap->n, &gid1_lid1)); 3659 ec = 0; 3660 for (i = 0; i < nz; i++) { 3661 PetscInt data, gid1 = jj[i] + 1; 3662 PetscCall(PetscHMapIGetWithDefault(gid1_lid1, gid1, 0, &data)); 3663 if (!data) { 3664 /* one based table */ 3665 PetscCall(PetscHMapISet(gid1_lid1, gid1, ++ec)); 3666 } 3667 } 3668 /* form array of columns we need */ 3669 PetscCall(PetscMalloc1(ec, &garray)); 3670 PetscHashIterBegin(gid1_lid1, tpos); 3671 while (!PetscHashIterAtEnd(gid1_lid1, tpos)) { 3672 PetscHashIterGetKey(gid1_lid1, tpos, gid); 3673 PetscHashIterGetVal(gid1_lid1, tpos, lid); 3674 PetscHashIterNext(gid1_lid1, tpos); 3675 gid--; 3676 lid--; 3677 garray[lid] = gid; 3678 } 3679 PetscCall(PetscSortInt(ec, garray)); /* sort, and rebuild */ 3680 PetscCall(PetscHMapIClear(gid1_lid1)); 3681 for (i = 0; i < ec; i++) PetscCall(PetscHMapISet(gid1_lid1, garray[i] + 1, i + 1)); 3682 /* compact out the extra columns in B */ 3683 for (i = 0; i < nz; i++) { 3684 PetscInt gid1 = jj[i] + 1; 3685 PetscCall(PetscHMapIGetWithDefault(gid1_lid1, gid1, 0, &lid)); 3686 lid--; 3687 jj[i] = lid; 3688 } 3689 PetscCall(PetscLayoutDestroy(&mat->cmap)); 3690 PetscCall(PetscHMapIDestroy(&gid1_lid1)); 3691 PetscCall(PetscLayoutCreateFromSizes(PetscObjectComm((PetscObject)mat), ec, ec, 1, &mat->cmap)); 3692 PetscCall(ISLocalToGlobalMappingCreate(PETSC_COMM_SELF, mat->cmap->bs, mat->cmap->n, garray, PETSC_OWN_POINTER, mapping)); 3693 PetscCall(ISLocalToGlobalMappingSetType(*mapping, ISLOCALTOGLOBALMAPPINGHASH)); 3694 PetscFunctionReturn(PETSC_SUCCESS); 3695 } 3696 3697 /*@ 3698 MatSeqAIJSetColumnIndices - Set the column indices for all the rows 3699 in the matrix. 3700 3701 Input Parameters: 3702 + mat - the `MATSEQAIJ` matrix 3703 - indices - the column indices 3704 3705 Level: advanced 3706 3707 Notes: 3708 This can be called if you have precomputed the nonzero structure of the 3709 matrix and want to provide it to the matrix object to improve the performance 3710 of the `MatSetValues()` operation. 3711 3712 You MUST have set the correct numbers of nonzeros per row in the call to 3713 `MatCreateSeqAIJ()`, and the columns indices MUST be sorted. 3714 3715 MUST be called before any calls to `MatSetValues()` 3716 3717 The indices should start with zero, not one. 3718 3719 .seealso: [](ch_matrices), `Mat`, `MATSEQAIJ` 3720 @*/ 3721 PetscErrorCode MatSeqAIJSetColumnIndices(Mat mat, PetscInt *indices) 3722 { 3723 PetscFunctionBegin; 3724 PetscValidHeaderSpecific(mat, MAT_CLASSID, 1); 3725 PetscAssertPointer(indices, 2); 3726 PetscUseMethod(mat, "MatSeqAIJSetColumnIndices_C", (Mat, PetscInt *), (mat, indices)); 3727 PetscFunctionReturn(PETSC_SUCCESS); 3728 } 3729 3730 static PetscErrorCode MatStoreValues_SeqAIJ(Mat mat) 3731 { 3732 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 3733 size_t nz = aij->i[mat->rmap->n]; 3734 3735 PetscFunctionBegin; 3736 PetscCheck(aij->nonew, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first"); 3737 3738 /* allocate space for values if not already there */ 3739 if (!aij->saved_values) PetscCall(PetscMalloc1(nz + 1, &aij->saved_values)); 3740 3741 /* copy values over */ 3742 PetscCall(PetscArraycpy(aij->saved_values, aij->a, nz)); 3743 PetscFunctionReturn(PETSC_SUCCESS); 3744 } 3745 3746 /*@ 3747 MatStoreValues - Stashes a copy of the matrix values; this allows reusing of the linear part of a Jacobian, while recomputing only the 3748 nonlinear portion. 3749 3750 Logically Collect 3751 3752 Input Parameter: 3753 . mat - the matrix (currently only `MATAIJ` matrices support this option) 3754 3755 Level: advanced 3756 3757 Example Usage: 3758 .vb 3759 Using SNES 3760 Create Jacobian matrix 3761 Set linear terms into matrix 3762 Apply boundary conditions to matrix, at this time matrix must have 3763 final nonzero structure (i.e. setting the nonlinear terms and applying 3764 boundary conditions again will not change the nonzero structure 3765 MatSetOption(mat, MAT_NEW_NONZERO_LOCATIONS, PETSC_FALSE); 3766 MatStoreValues(mat); 3767 Call SNESSetJacobian() with matrix 3768 In your Jacobian routine 3769 MatRetrieveValues(mat); 3770 Set nonlinear terms in matrix 3771 3772 Without `SNESSolve()`, i.e. when you handle nonlinear solve yourself: 3773 // build linear portion of Jacobian 3774 MatSetOption(mat, MAT_NEW_NONZERO_LOCATIONS, PETSC_FALSE); 3775 MatStoreValues(mat); 3776 loop over nonlinear iterations 3777 MatRetrieveValues(mat); 3778 // call MatSetValues(mat,...) to set nonliner portion of Jacobian 3779 // call MatAssemblyBegin/End() on matrix 3780 Solve linear system with Jacobian 3781 endloop 3782 .ve 3783 3784 Notes: 3785 Matrix must already be assembled before calling this routine 3786 Must set the matrix option `MatSetOption`(mat,`MAT_NEW_NONZERO_LOCATIONS`,`PETSC_FALSE`); before 3787 calling this routine. 3788 3789 When this is called multiple times it overwrites the previous set of stored values 3790 and does not allocated additional space. 3791 3792 .seealso: [](ch_matrices), `Mat`, `MatRetrieveValues()` 3793 @*/ 3794 PetscErrorCode MatStoreValues(Mat mat) 3795 { 3796 PetscFunctionBegin; 3797 PetscValidHeaderSpecific(mat, MAT_CLASSID, 1); 3798 PetscCheck(mat->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix"); 3799 PetscCheck(!mat->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3800 PetscUseMethod(mat, "MatStoreValues_C", (Mat), (mat)); 3801 PetscFunctionReturn(PETSC_SUCCESS); 3802 } 3803 3804 static PetscErrorCode MatRetrieveValues_SeqAIJ(Mat mat) 3805 { 3806 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 3807 PetscInt nz = aij->i[mat->rmap->n]; 3808 3809 PetscFunctionBegin; 3810 PetscCheck(aij->nonew, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first"); 3811 PetscCheck(aij->saved_values, PETSC_COMM_SELF, PETSC_ERR_ORDER, "Must call MatStoreValues(A);first"); 3812 /* copy values over */ 3813 PetscCall(PetscArraycpy(aij->a, aij->saved_values, nz)); 3814 PetscFunctionReturn(PETSC_SUCCESS); 3815 } 3816 3817 /*@ 3818 MatRetrieveValues - Retrieves the copy of the matrix values that was stored with `MatStoreValues()` 3819 3820 Logically Collect 3821 3822 Input Parameter: 3823 . mat - the matrix (currently only `MATAIJ` matrices support this option) 3824 3825 Level: advanced 3826 3827 .seealso: [](ch_matrices), `Mat`, `MatStoreValues()` 3828 @*/ 3829 PetscErrorCode MatRetrieveValues(Mat mat) 3830 { 3831 PetscFunctionBegin; 3832 PetscValidHeaderSpecific(mat, MAT_CLASSID, 1); 3833 PetscCheck(mat->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix"); 3834 PetscCheck(!mat->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 3835 PetscUseMethod(mat, "MatRetrieveValues_C", (Mat), (mat)); 3836 PetscFunctionReturn(PETSC_SUCCESS); 3837 } 3838 3839 /*@ 3840 MatCreateSeqAIJ - Creates a sparse matrix in `MATSEQAIJ` (compressed row) format 3841 (the default parallel PETSc format). For good matrix assembly performance 3842 the user should preallocate the matrix storage by setting the parameter `nz` 3843 (or the array `nnz`). 3844 3845 Collective 3846 3847 Input Parameters: 3848 + comm - MPI communicator, set to `PETSC_COMM_SELF` 3849 . m - number of rows 3850 . n - number of columns 3851 . nz - number of nonzeros per row (same for all rows) 3852 - nnz - array containing the number of nonzeros in the various rows 3853 (possibly different for each row) or NULL 3854 3855 Output Parameter: 3856 . A - the matrix 3857 3858 Options Database Keys: 3859 + -mat_no_inode - Do not use inodes 3860 - -mat_inode_limit <limit> - Sets inode limit (max limit=5) 3861 3862 Level: intermediate 3863 3864 Notes: 3865 It is recommend to use `MatCreateFromOptions()` instead of this routine 3866 3867 If `nnz` is given then `nz` is ignored 3868 3869 The `MATSEQAIJ` format, also called 3870 compressed row storage, is fully compatible with standard Fortran 3871 storage. That is, the stored row and column indices can begin at 3872 either one (as in Fortran) or zero. 3873 3874 Specify the preallocated storage with either `nz` or `nnz` (not both). 3875 Set `nz` = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory 3876 allocation. 3877 3878 By default, this format uses inodes (identical nodes) when possible, to 3879 improve numerical efficiency of matrix-vector products and solves. We 3880 search for consecutive rows with the same nonzero structure, thereby 3881 reusing matrix information to achieve increased efficiency. 3882 3883 .seealso: [](ch_matrices), `Mat`, [Sparse Matrix Creation](sec_matsparse), `MatCreate()`, `MatCreateAIJ()`, `MatSetValues()`, `MatSeqAIJSetColumnIndices()`, `MatCreateSeqAIJWithArrays()` 3884 @*/ 3885 PetscErrorCode MatCreateSeqAIJ(MPI_Comm comm, PetscInt m, PetscInt n, PetscInt nz, const PetscInt nnz[], Mat *A) 3886 { 3887 PetscFunctionBegin; 3888 PetscCall(MatCreate(comm, A)); 3889 PetscCall(MatSetSizes(*A, m, n, m, n)); 3890 PetscCall(MatSetType(*A, MATSEQAIJ)); 3891 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(*A, nz, nnz)); 3892 PetscFunctionReturn(PETSC_SUCCESS); 3893 } 3894 3895 /*@ 3896 MatSeqAIJSetPreallocation - For good matrix assembly performance 3897 the user should preallocate the matrix storage by setting the parameter nz 3898 (or the array nnz). By setting these parameters accurately, performance 3899 during matrix assembly can be increased by more than a factor of 50. 3900 3901 Collective 3902 3903 Input Parameters: 3904 + B - The matrix 3905 . nz - number of nonzeros per row (same for all rows) 3906 - nnz - array containing the number of nonzeros in the various rows 3907 (possibly different for each row) or NULL 3908 3909 Options Database Keys: 3910 + -mat_no_inode - Do not use inodes 3911 - -mat_inode_limit <limit> - Sets inode limit (max limit=5) 3912 3913 Level: intermediate 3914 3915 Notes: 3916 If `nnz` is given then `nz` is ignored 3917 3918 The `MATSEQAIJ` format also called 3919 compressed row storage, is fully compatible with standard Fortran 3920 storage. That is, the stored row and column indices can begin at 3921 either one (as in Fortran) or zero. See the users' manual for details. 3922 3923 Specify the preallocated storage with either `nz` or `nnz` (not both). 3924 Set nz = `PETSC_DEFAULT` and `nnz` = `NULL` for PETSc to control dynamic memory 3925 allocation. 3926 3927 You can call `MatGetInfo()` to get information on how effective the preallocation was; 3928 for example the fields mallocs,nz_allocated,nz_used,nz_unneeded; 3929 You can also run with the option -info and look for messages with the string 3930 malloc in them to see if additional memory allocation was needed. 3931 3932 Developer Notes: 3933 Use nz of `MAT_SKIP_ALLOCATION` to not allocate any space for the matrix 3934 entries or columns indices 3935 3936 By default, this format uses inodes (identical nodes) when possible, to 3937 improve numerical efficiency of matrix-vector products and solves. We 3938 search for consecutive rows with the same nonzero structure, thereby 3939 reusing matrix information to achieve increased efficiency. 3940 3941 .seealso: [](ch_matrices), `Mat`, `MatCreate()`, `MatCreateAIJ()`, `MatSetValues()`, `MatSeqAIJSetColumnIndices()`, `MatCreateSeqAIJWithArrays()`, `MatGetInfo()`, 3942 `MatSeqAIJSetTotalPreallocation()` 3943 @*/ 3944 PetscErrorCode MatSeqAIJSetPreallocation(Mat B, PetscInt nz, const PetscInt nnz[]) 3945 { 3946 PetscFunctionBegin; 3947 PetscValidHeaderSpecific(B, MAT_CLASSID, 1); 3948 PetscValidType(B, 1); 3949 PetscTryMethod(B, "MatSeqAIJSetPreallocation_C", (Mat, PetscInt, const PetscInt[]), (B, nz, nnz)); 3950 PetscFunctionReturn(PETSC_SUCCESS); 3951 } 3952 3953 PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat B, PetscInt nz, const PetscInt *nnz) 3954 { 3955 Mat_SeqAIJ *b = (Mat_SeqAIJ *)B->data; 3956 PetscBool skipallocation = PETSC_FALSE, realalloc = PETSC_FALSE; 3957 PetscInt i; 3958 3959 PetscFunctionBegin; 3960 if (B->hash_active) { 3961 B->ops[0] = b->cops; 3962 PetscCall(PetscHMapIJVDestroy(&b->ht)); 3963 PetscCall(PetscFree(b->dnz)); 3964 B->hash_active = PETSC_FALSE; 3965 } 3966 if (nz >= 0 || nnz) realalloc = PETSC_TRUE; 3967 if (nz == MAT_SKIP_ALLOCATION) { 3968 skipallocation = PETSC_TRUE; 3969 nz = 0; 3970 } 3971 PetscCall(PetscLayoutSetUp(B->rmap)); 3972 PetscCall(PetscLayoutSetUp(B->cmap)); 3973 3974 if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5; 3975 PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nz cannot be less than 0: value %" PetscInt_FMT, nz); 3976 if (nnz) { 3977 for (i = 0; i < B->rmap->n; i++) { 3978 PetscCheck(nnz[i] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nnz cannot be less than 0: local row %" PetscInt_FMT " value %" PetscInt_FMT, i, nnz[i]); 3979 PetscCheck(nnz[i] <= B->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "nnz cannot be greater than row length: local row %" PetscInt_FMT " value %" PetscInt_FMT " rowlength %" PetscInt_FMT, i, nnz[i], B->cmap->n); 3980 } 3981 } 3982 3983 B->preallocated = PETSC_TRUE; 3984 if (!skipallocation) { 3985 if (!b->imax) PetscCall(PetscMalloc1(B->rmap->n, &b->imax)); 3986 if (!b->ilen) { 3987 /* b->ilen will count nonzeros in each row so far. */ 3988 PetscCall(PetscCalloc1(B->rmap->n, &b->ilen)); 3989 } else { 3990 PetscCall(PetscMemzero(b->ilen, B->rmap->n * sizeof(PetscInt))); 3991 } 3992 if (!b->ipre) PetscCall(PetscMalloc1(B->rmap->n, &b->ipre)); 3993 if (!nnz) { 3994 if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10; 3995 else if (nz < 0) nz = 1; 3996 nz = PetscMin(nz, B->cmap->n); 3997 for (i = 0; i < B->rmap->n; i++) b->imax[i] = nz; 3998 PetscCall(PetscIntMultError(nz, B->rmap->n, &nz)); 3999 } else { 4000 PetscInt64 nz64 = 0; 4001 for (i = 0; i < B->rmap->n; i++) { 4002 b->imax[i] = nnz[i]; 4003 nz64 += nnz[i]; 4004 } 4005 PetscCall(PetscIntCast(nz64, &nz)); 4006 } 4007 4008 /* allocate the matrix space */ 4009 PetscCall(MatSeqXAIJFreeAIJ(B, &b->a, &b->j, &b->i)); 4010 PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscInt), (void **)&b->j)); 4011 PetscCall(PetscShmgetAllocateArray(B->rmap->n + 1, sizeof(PetscInt), (void **)&b->i)); 4012 b->free_ij = PETSC_TRUE; 4013 if (B->structure_only) { 4014 b->free_a = PETSC_FALSE; 4015 } else { 4016 PetscCall(PetscShmgetAllocateArray(nz, sizeof(PetscScalar), (void **)&b->a)); 4017 b->free_a = PETSC_TRUE; 4018 } 4019 b->i[0] = 0; 4020 for (i = 1; i < B->rmap->n + 1; i++) b->i[i] = b->i[i - 1] + b->imax[i - 1]; 4021 } else { 4022 b->free_a = PETSC_FALSE; 4023 b->free_ij = PETSC_FALSE; 4024 } 4025 4026 if (b->ipre && nnz != b->ipre && b->imax) { 4027 /* reserve user-requested sparsity */ 4028 PetscCall(PetscArraycpy(b->ipre, b->imax, B->rmap->n)); 4029 } 4030 4031 b->nz = 0; 4032 b->maxnz = nz; 4033 B->info.nz_unneeded = (double)b->maxnz; 4034 if (realalloc) PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE)); 4035 B->was_assembled = PETSC_FALSE; 4036 B->assembled = PETSC_FALSE; 4037 /* We simply deem preallocation has changed nonzero state. Updating the state 4038 will give clients (like AIJKokkos) a chance to know something has happened. 4039 */ 4040 B->nonzerostate++; 4041 PetscFunctionReturn(PETSC_SUCCESS); 4042 } 4043 4044 PetscErrorCode MatResetPreallocation_SeqAIJ_Private(Mat A, PetscBool *memoryreset) 4045 { 4046 Mat_SeqAIJ *a; 4047 PetscInt i; 4048 PetscBool skipreset; 4049 4050 PetscFunctionBegin; 4051 PetscValidHeaderSpecific(A, MAT_CLASSID, 1); 4052 4053 PetscCheck(A->insertmode == NOT_SET_VALUES, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot reset preallocation after setting some values but not yet calling MatAssemblyBegin()/MatAssemblyEnd()"); 4054 if (A->num_ass == 0) PetscFunctionReturn(PETSC_SUCCESS); 4055 4056 /* Check local size. If zero, then return */ 4057 if (!A->rmap->n) PetscFunctionReturn(PETSC_SUCCESS); 4058 4059 a = (Mat_SeqAIJ *)A->data; 4060 /* if no saved info, we error out */ 4061 PetscCheck(a->ipre, PETSC_COMM_SELF, PETSC_ERR_ARG_NULL, "No saved preallocation info "); 4062 4063 PetscCheck(a->i && a->imax && a->ilen, PETSC_COMM_SELF, PETSC_ERR_ARG_NULL, "Memory info is incomplete, and cannot reset preallocation "); 4064 4065 PetscCall(PetscArraycmp(a->ipre, a->ilen, A->rmap->n, &skipreset)); 4066 if (skipreset) PetscCall(MatZeroEntries(A)); 4067 else { 4068 PetscCall(PetscArraycpy(a->imax, a->ipre, A->rmap->n)); 4069 PetscCall(PetscArrayzero(a->ilen, A->rmap->n)); 4070 a->i[0] = 0; 4071 for (i = 1; i < A->rmap->n + 1; i++) a->i[i] = a->i[i - 1] + a->imax[i - 1]; 4072 A->preallocated = PETSC_TRUE; 4073 a->nz = 0; 4074 a->maxnz = a->i[A->rmap->n]; 4075 A->info.nz_unneeded = (double)a->maxnz; 4076 A->was_assembled = PETSC_FALSE; 4077 A->assembled = PETSC_FALSE; 4078 A->nonzerostate++; 4079 /* Log that the state of this object has changed; this will help guarantee that preconditioners get re-setup */ 4080 PetscCall(PetscObjectStateIncrease((PetscObject)A)); 4081 } 4082 if (memoryreset) *memoryreset = (PetscBool)!skipreset; 4083 PetscFunctionReturn(PETSC_SUCCESS); 4084 } 4085 4086 static PetscErrorCode MatResetPreallocation_SeqAIJ(Mat A) 4087 { 4088 PetscFunctionBegin; 4089 PetscCall(MatResetPreallocation_SeqAIJ_Private(A, NULL)); 4090 PetscFunctionReturn(PETSC_SUCCESS); 4091 } 4092 4093 /*@ 4094 MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in `MATSEQAIJ` format. 4095 4096 Input Parameters: 4097 + B - the matrix 4098 . i - the indices into `j` for the start of each row (indices start with zero) 4099 . j - the column indices for each row (indices start with zero) these must be sorted for each row 4100 - v - optional values in the matrix, use `NULL` if not provided 4101 4102 Level: developer 4103 4104 Notes: 4105 The `i`,`j`,`v` values are COPIED with this routine; to avoid the copy use `MatCreateSeqAIJWithArrays()` 4106 4107 This routine may be called multiple times with different nonzero patterns (or the same nonzero pattern). The nonzero 4108 structure will be the union of all the previous nonzero structures. 4109 4110 Developer Notes: 4111 An optimization could be added to the implementation where it checks if the `i`, and `j` are identical to the current `i` and `j` and 4112 then just copies the `v` values directly with `PetscMemcpy()`. 4113 4114 This routine could also take a `PetscCopyMode` argument to allow sharing the values instead of always copying them. 4115 4116 .seealso: [](ch_matrices), `Mat`, `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatSeqAIJSetPreallocation()`, `MATSEQAIJ`, `MatResetPreallocation()` 4117 @*/ 4118 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B, const PetscInt i[], const PetscInt j[], const PetscScalar v[]) 4119 { 4120 PetscFunctionBegin; 4121 PetscValidHeaderSpecific(B, MAT_CLASSID, 1); 4122 PetscValidType(B, 1); 4123 PetscTryMethod(B, "MatSeqAIJSetPreallocationCSR_C", (Mat, const PetscInt[], const PetscInt[], const PetscScalar[]), (B, i, j, v)); 4124 PetscFunctionReturn(PETSC_SUCCESS); 4125 } 4126 4127 static PetscErrorCode MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B, const PetscInt Ii[], const PetscInt J[], const PetscScalar v[]) 4128 { 4129 PetscInt i; 4130 PetscInt m, n; 4131 PetscInt nz; 4132 PetscInt *nnz; 4133 4134 PetscFunctionBegin; 4135 PetscCheck(Ii[0] == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %" PetscInt_FMT, Ii[0]); 4136 4137 PetscCall(PetscLayoutSetUp(B->rmap)); 4138 PetscCall(PetscLayoutSetUp(B->cmap)); 4139 4140 PetscCall(MatGetSize(B, &m, &n)); 4141 PetscCall(PetscMalloc1(m + 1, &nnz)); 4142 for (i = 0; i < m; i++) { 4143 nz = Ii[i + 1] - Ii[i]; 4144 PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Local row %" PetscInt_FMT " has a negative number of columns %" PetscInt_FMT, i, nz); 4145 nnz[i] = nz; 4146 } 4147 PetscCall(MatSeqAIJSetPreallocation(B, 0, nnz)); 4148 PetscCall(PetscFree(nnz)); 4149 4150 for (i = 0; i < m; i++) PetscCall(MatSetValues_SeqAIJ(B, 1, &i, Ii[i + 1] - Ii[i], J + Ii[i], PetscSafePointerPlusOffset(v, Ii[i]), INSERT_VALUES)); 4151 4152 PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY)); 4153 PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); 4154 4155 PetscCall(MatSetOption(B, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE)); 4156 PetscFunctionReturn(PETSC_SUCCESS); 4157 } 4158 4159 /*@ 4160 MatSeqAIJKron - Computes `C`, the Kronecker product of `A` and `B`. 4161 4162 Input Parameters: 4163 + A - left-hand side matrix 4164 . B - right-hand side matrix 4165 - reuse - either `MAT_INITIAL_MATRIX` or `MAT_REUSE_MATRIX` 4166 4167 Output Parameter: 4168 . C - Kronecker product of `A` and `B` 4169 4170 Level: intermediate 4171 4172 Note: 4173 `MAT_REUSE_MATRIX` can only be used when the nonzero structure of the product matrix has not changed from that last call to `MatSeqAIJKron()`. 4174 4175 .seealso: [](ch_matrices), `Mat`, `MatCreateSeqAIJ()`, `MATSEQAIJ`, `MATKAIJ`, `MatReuse` 4176 @*/ 4177 PetscErrorCode MatSeqAIJKron(Mat A, Mat B, MatReuse reuse, Mat *C) 4178 { 4179 PetscFunctionBegin; 4180 PetscValidHeaderSpecific(A, MAT_CLASSID, 1); 4181 PetscValidType(A, 1); 4182 PetscValidHeaderSpecific(B, MAT_CLASSID, 2); 4183 PetscValidType(B, 2); 4184 PetscAssertPointer(C, 4); 4185 if (reuse == MAT_REUSE_MATRIX) { 4186 PetscValidHeaderSpecific(*C, MAT_CLASSID, 4); 4187 PetscValidType(*C, 4); 4188 } 4189 PetscTryMethod(A, "MatSeqAIJKron_C", (Mat, Mat, MatReuse, Mat *), (A, B, reuse, C)); 4190 PetscFunctionReturn(PETSC_SUCCESS); 4191 } 4192 4193 static PetscErrorCode MatSeqAIJKron_SeqAIJ(Mat A, Mat B, MatReuse reuse, Mat *C) 4194 { 4195 Mat newmat; 4196 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 4197 Mat_SeqAIJ *b = (Mat_SeqAIJ *)B->data; 4198 PetscScalar *v; 4199 const PetscScalar *aa, *ba; 4200 PetscInt *i, *j, m, n, p, q, nnz = 0, am = A->rmap->n, bm = B->rmap->n, an = A->cmap->n, bn = B->cmap->n; 4201 PetscBool flg; 4202 4203 PetscFunctionBegin; 4204 PetscCheck(!A->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 4205 PetscCheck(A->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix"); 4206 PetscCheck(!B->factortype, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for factored matrix"); 4207 PetscCheck(B->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Not for unassembled matrix"); 4208 PetscCall(PetscObjectTypeCompare((PetscObject)B, MATSEQAIJ, &flg)); 4209 PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_SUP, "MatType %s", ((PetscObject)B)->type_name); 4210 PetscCheck(reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX, PETSC_COMM_SELF, PETSC_ERR_SUP, "MatReuse %d", (int)reuse); 4211 if (reuse == MAT_INITIAL_MATRIX) { 4212 PetscCall(PetscMalloc2(am * bm + 1, &i, a->i[am] * b->i[bm], &j)); 4213 PetscCall(MatCreate(PETSC_COMM_SELF, &newmat)); 4214 PetscCall(MatSetSizes(newmat, am * bm, an * bn, am * bm, an * bn)); 4215 PetscCall(MatSetType(newmat, MATAIJ)); 4216 i[0] = 0; 4217 for (m = 0; m < am; ++m) { 4218 for (p = 0; p < bm; ++p) { 4219 i[m * bm + p + 1] = i[m * bm + p] + (a->i[m + 1] - a->i[m]) * (b->i[p + 1] - b->i[p]); 4220 for (n = a->i[m]; n < a->i[m + 1]; ++n) { 4221 for (q = b->i[p]; q < b->i[p + 1]; ++q) j[nnz++] = a->j[n] * bn + b->j[q]; 4222 } 4223 } 4224 } 4225 PetscCall(MatSeqAIJSetPreallocationCSR(newmat, i, j, NULL)); 4226 *C = newmat; 4227 PetscCall(PetscFree2(i, j)); 4228 nnz = 0; 4229 } 4230 PetscCall(MatSeqAIJGetArray(*C, &v)); 4231 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 4232 PetscCall(MatSeqAIJGetArrayRead(B, &ba)); 4233 for (m = 0; m < am; ++m) { 4234 for (p = 0; p < bm; ++p) { 4235 for (n = a->i[m]; n < a->i[m + 1]; ++n) { 4236 for (q = b->i[p]; q < b->i[p + 1]; ++q) v[nnz++] = aa[n] * ba[q]; 4237 } 4238 } 4239 } 4240 PetscCall(MatSeqAIJRestoreArray(*C, &v)); 4241 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 4242 PetscCall(MatSeqAIJRestoreArrayRead(B, &ba)); 4243 PetscFunctionReturn(PETSC_SUCCESS); 4244 } 4245 4246 #include <../src/mat/impls/dense/seq/dense.h> 4247 #include <petsc/private/kernels/petscaxpy.h> 4248 4249 /* 4250 Computes (B'*A')' since computing B*A directly is untenable 4251 4252 n p p 4253 [ ] [ ] [ ] 4254 m [ A ] * n [ B ] = m [ C ] 4255 [ ] [ ] [ ] 4256 4257 */ 4258 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A, Mat B, Mat C) 4259 { 4260 Mat_SeqDense *sub_a = (Mat_SeqDense *)A->data; 4261 Mat_SeqAIJ *sub_b = (Mat_SeqAIJ *)B->data; 4262 Mat_SeqDense *sub_c = (Mat_SeqDense *)C->data; 4263 PetscInt i, j, n, m, q, p; 4264 const PetscInt *ii, *idx; 4265 const PetscScalar *b, *a, *a_q; 4266 PetscScalar *c, *c_q; 4267 PetscInt clda = sub_c->lda; 4268 PetscInt alda = sub_a->lda; 4269 4270 PetscFunctionBegin; 4271 m = A->rmap->n; 4272 n = A->cmap->n; 4273 p = B->cmap->n; 4274 a = sub_a->v; 4275 b = sub_b->a; 4276 c = sub_c->v; 4277 if (clda == m) { 4278 PetscCall(PetscArrayzero(c, m * p)); 4279 } else { 4280 for (j = 0; j < p; j++) 4281 for (i = 0; i < m; i++) c[j * clda + i] = 0.0; 4282 } 4283 ii = sub_b->i; 4284 idx = sub_b->j; 4285 for (i = 0; i < n; i++) { 4286 q = ii[i + 1] - ii[i]; 4287 while (q-- > 0) { 4288 c_q = c + clda * (*idx); 4289 a_q = a + alda * i; 4290 PetscKernelAXPY(c_q, *b, a_q, m); 4291 idx++; 4292 b++; 4293 } 4294 } 4295 PetscFunctionReturn(PETSC_SUCCESS); 4296 } 4297 4298 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A, Mat B, PetscReal fill, Mat C) 4299 { 4300 PetscInt m = A->rmap->n, n = B->cmap->n; 4301 PetscBool cisdense; 4302 4303 PetscFunctionBegin; 4304 PetscCheck(A->cmap->n == B->rmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "A->cmap->n %" PetscInt_FMT " != B->rmap->n %" PetscInt_FMT, A->cmap->n, B->rmap->n); 4305 PetscCall(MatSetSizes(C, m, n, m, n)); 4306 PetscCall(MatSetBlockSizesFromMats(C, A, B)); 4307 PetscCall(PetscObjectTypeCompareAny((PetscObject)C, &cisdense, MATSEQDENSE, MATSEQDENSECUDA, MATSEQDENSEHIP, "")); 4308 if (!cisdense) PetscCall(MatSetType(C, MATDENSE)); 4309 PetscCall(MatSetUp(C)); 4310 4311 C->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ; 4312 PetscFunctionReturn(PETSC_SUCCESS); 4313 } 4314 4315 /*MC 4316 MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices, 4317 based on compressed sparse row format. 4318 4319 Options Database Key: 4320 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions() 4321 4322 Level: beginner 4323 4324 Notes: 4325 `MatSetValues()` may be called for this matrix type with a `NULL` argument for the numerical values, 4326 in this case the values associated with the rows and columns one passes in are set to zero 4327 in the matrix 4328 4329 `MatSetOptions`(,`MAT_STRUCTURE_ONLY`,`PETSC_TRUE`) may be called for this matrix type. In this no 4330 space is allocated for the nonzero entries and any entries passed with `MatSetValues()` are ignored 4331 4332 Developer Note: 4333 It would be nice if all matrix formats supported passing `NULL` in for the numerical values 4334 4335 .seealso: [](ch_matrices), `Mat`, `MatCreateSeqAIJ()`, `MatSetFromOptions()`, `MatSetType()`, `MatCreate()`, `MatType`, `MATSELL`, `MATSEQSELL`, `MATMPISELL` 4336 M*/ 4337 4338 /*MC 4339 MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices. 4340 4341 This matrix type is identical to `MATSEQAIJ` when constructed with a single process communicator, 4342 and `MATMPIAIJ` otherwise. As a result, for single process communicators, 4343 `MatSeqAIJSetPreallocation()` is supported, and similarly `MatMPIAIJSetPreallocation()` is supported 4344 for communicators controlling multiple processes. It is recommended that you call both of 4345 the above preallocation routines for simplicity. 4346 4347 Options Database Key: 4348 . -mat_type aij - sets the matrix type to "aij" during a call to `MatSetFromOptions()` 4349 4350 Level: beginner 4351 4352 Note: 4353 Subclasses include `MATAIJCUSPARSE`, `MATAIJPERM`, `MATAIJSELL`, `MATAIJMKL`, `MATAIJCRL`, and also automatically switches over to use inodes when 4354 enough exist. 4355 4356 .seealso: [](ch_matrices), `Mat`, `MatCreateAIJ()`, `MatCreateSeqAIJ()`, `MATSEQAIJ`, `MATMPIAIJ`, `MATSELL`, `MATSEQSELL`, `MATMPISELL` 4357 M*/ 4358 4359 /*MC 4360 MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices. 4361 4362 Options Database Key: 4363 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to `MatSetFromOptions()` 4364 4365 Level: beginner 4366 4367 Note: 4368 This matrix type is identical to `MATSEQAIJCRL` when constructed with a single process communicator, 4369 and `MATMPIAIJCRL` otherwise. As a result, for single process communicators, 4370 `MatSeqAIJSetPreallocation()` is supported, and similarly `MatMPIAIJSetPreallocation()` is supported 4371 for communicators controlling multiple processes. It is recommended that you call both of 4372 the above preallocation routines for simplicity. 4373 4374 .seealso: [](ch_matrices), `Mat`, `MatCreateMPIAIJCRL`, `MATSEQAIJCRL`, `MATMPIAIJCRL`, `MATSEQAIJCRL`, `MATMPIAIJCRL` 4375 M*/ 4376 4377 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat, MatType, MatReuse, Mat *); 4378 #if defined(PETSC_HAVE_ELEMENTAL) 4379 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat, MatType, MatReuse, Mat *); 4380 #endif 4381 #if defined(PETSC_HAVE_SCALAPACK) 4382 PETSC_INTERN PetscErrorCode MatConvert_AIJ_ScaLAPACK(Mat, MatType, MatReuse, Mat *); 4383 #endif 4384 #if defined(PETSC_HAVE_HYPRE) 4385 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat A, MatType, MatReuse, Mat *); 4386 #endif 4387 4388 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqSELL(Mat, MatType, MatReuse, Mat *); 4389 PETSC_INTERN PetscErrorCode MatConvert_XAIJ_IS(Mat, MatType, MatReuse, Mat *); 4390 PETSC_INTERN PetscErrorCode MatProductSetFromOptions_IS_XAIJ(Mat); 4391 4392 /*@C 4393 MatSeqAIJGetArray - gives read/write access to the array where the data for a `MATSEQAIJ` matrix is stored 4394 4395 Not Collective 4396 4397 Input Parameter: 4398 . A - a `MATSEQAIJ` matrix 4399 4400 Output Parameter: 4401 . array - pointer to the data 4402 4403 Level: intermediate 4404 4405 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJRestoreArray()` 4406 @*/ 4407 PetscErrorCode MatSeqAIJGetArray(Mat A, PetscScalar *array[]) 4408 { 4409 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4410 4411 PetscFunctionBegin; 4412 if (aij->ops->getarray) { 4413 PetscCall((*aij->ops->getarray)(A, array)); 4414 } else { 4415 *array = aij->a; 4416 } 4417 PetscFunctionReturn(PETSC_SUCCESS); 4418 } 4419 4420 /*@C 4421 MatSeqAIJRestoreArray - returns access to the array where the data for a `MATSEQAIJ` matrix is stored obtained by `MatSeqAIJGetArray()` 4422 4423 Not Collective 4424 4425 Input Parameters: 4426 + A - a `MATSEQAIJ` matrix 4427 - array - pointer to the data 4428 4429 Level: intermediate 4430 4431 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()` 4432 @*/ 4433 PetscErrorCode MatSeqAIJRestoreArray(Mat A, PetscScalar *array[]) 4434 { 4435 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4436 4437 PetscFunctionBegin; 4438 if (aij->ops->restorearray) { 4439 PetscCall((*aij->ops->restorearray)(A, array)); 4440 } else { 4441 *array = NULL; 4442 } 4443 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 4444 PetscCall(PetscObjectStateIncrease((PetscObject)A)); 4445 PetscFunctionReturn(PETSC_SUCCESS); 4446 } 4447 4448 /*@C 4449 MatSeqAIJGetArrayRead - gives read-only access to the array where the data for a `MATSEQAIJ` matrix is stored 4450 4451 Not Collective; No Fortran Support 4452 4453 Input Parameter: 4454 . A - a `MATSEQAIJ` matrix 4455 4456 Output Parameter: 4457 . array - pointer to the data 4458 4459 Level: intermediate 4460 4461 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArrayRead()` 4462 @*/ 4463 PetscErrorCode MatSeqAIJGetArrayRead(Mat A, const PetscScalar *array[]) 4464 { 4465 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4466 4467 PetscFunctionBegin; 4468 if (aij->ops->getarrayread) { 4469 PetscCall((*aij->ops->getarrayread)(A, array)); 4470 } else { 4471 *array = aij->a; 4472 } 4473 PetscFunctionReturn(PETSC_SUCCESS); 4474 } 4475 4476 /*@C 4477 MatSeqAIJRestoreArrayRead - restore the read-only access array obtained from `MatSeqAIJGetArrayRead()` 4478 4479 Not Collective; No Fortran Support 4480 4481 Input Parameter: 4482 . A - a `MATSEQAIJ` matrix 4483 4484 Output Parameter: 4485 . array - pointer to the data 4486 4487 Level: intermediate 4488 4489 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()`, `MatSeqAIJGetArrayRead()` 4490 @*/ 4491 PetscErrorCode MatSeqAIJRestoreArrayRead(Mat A, const PetscScalar *array[]) 4492 { 4493 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4494 4495 PetscFunctionBegin; 4496 if (aij->ops->restorearrayread) { 4497 PetscCall((*aij->ops->restorearrayread)(A, array)); 4498 } else { 4499 *array = NULL; 4500 } 4501 PetscFunctionReturn(PETSC_SUCCESS); 4502 } 4503 4504 /*@C 4505 MatSeqAIJGetArrayWrite - gives write-only access to the array where the data for a `MATSEQAIJ` matrix is stored 4506 4507 Not Collective; No Fortran Support 4508 4509 Input Parameter: 4510 . A - a `MATSEQAIJ` matrix 4511 4512 Output Parameter: 4513 . array - pointer to the data 4514 4515 Level: intermediate 4516 4517 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArrayRead()` 4518 @*/ 4519 PetscErrorCode MatSeqAIJGetArrayWrite(Mat A, PetscScalar *array[]) 4520 { 4521 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4522 4523 PetscFunctionBegin; 4524 if (aij->ops->getarraywrite) { 4525 PetscCall((*aij->ops->getarraywrite)(A, array)); 4526 } else { 4527 *array = aij->a; 4528 } 4529 PetscCall(MatSeqAIJInvalidateDiagonal(A)); 4530 PetscCall(PetscObjectStateIncrease((PetscObject)A)); 4531 PetscFunctionReturn(PETSC_SUCCESS); 4532 } 4533 4534 /*@C 4535 MatSeqAIJRestoreArrayWrite - restore the read-only access array obtained from MatSeqAIJGetArrayRead 4536 4537 Not Collective; No Fortran Support 4538 4539 Input Parameter: 4540 . A - a MATSEQAIJ matrix 4541 4542 Output Parameter: 4543 . array - pointer to the data 4544 4545 Level: intermediate 4546 4547 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()`, `MatSeqAIJGetArrayRead()` 4548 @*/ 4549 PetscErrorCode MatSeqAIJRestoreArrayWrite(Mat A, PetscScalar *array[]) 4550 { 4551 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4552 4553 PetscFunctionBegin; 4554 if (aij->ops->restorearraywrite) { 4555 PetscCall((*aij->ops->restorearraywrite)(A, array)); 4556 } else { 4557 *array = NULL; 4558 } 4559 PetscFunctionReturn(PETSC_SUCCESS); 4560 } 4561 4562 /*@C 4563 MatSeqAIJGetCSRAndMemType - Get the CSR arrays and the memory type of the `MATSEQAIJ` matrix 4564 4565 Not Collective; No Fortran Support 4566 4567 Input Parameter: 4568 . mat - a matrix of type `MATSEQAIJ` or its subclasses 4569 4570 Output Parameters: 4571 + i - row map array of the matrix 4572 . j - column index array of the matrix 4573 . a - data array of the matrix 4574 - mtype - memory type of the arrays 4575 4576 Level: developer 4577 4578 Notes: 4579 Any of the output parameters can be `NULL`, in which case the corresponding value is not returned. 4580 If mat is a device matrix, the arrays are on the device. Otherwise, they are on the host. 4581 4582 One can call this routine on a preallocated but not assembled matrix to just get the memory of the CSR underneath the matrix. 4583 If the matrix is assembled, the data array `a` is guaranteed to have the latest values of the matrix. 4584 4585 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJGetArray()`, `MatSeqAIJGetArrayRead()` 4586 @*/ 4587 PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat mat, const PetscInt *i[], const PetscInt *j[], PetscScalar *a[], PetscMemType *mtype) 4588 { 4589 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data; 4590 4591 PetscFunctionBegin; 4592 PetscCheck(mat->preallocated, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "matrix is not preallocated"); 4593 if (aij->ops->getcsrandmemtype) { 4594 PetscCall((*aij->ops->getcsrandmemtype)(mat, i, j, a, mtype)); 4595 } else { 4596 if (i) *i = aij->i; 4597 if (j) *j = aij->j; 4598 if (a) *a = aij->a; 4599 if (mtype) *mtype = PETSC_MEMTYPE_HOST; 4600 } 4601 PetscFunctionReturn(PETSC_SUCCESS); 4602 } 4603 4604 /*@ 4605 MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row 4606 4607 Not Collective 4608 4609 Input Parameter: 4610 . A - a `MATSEQAIJ` matrix 4611 4612 Output Parameter: 4613 . nz - the maximum number of nonzeros in any row 4614 4615 Level: intermediate 4616 4617 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJRestoreArray()` 4618 @*/ 4619 PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat A, PetscInt *nz) 4620 { 4621 Mat_SeqAIJ *aij = (Mat_SeqAIJ *)A->data; 4622 4623 PetscFunctionBegin; 4624 *nz = aij->rmax; 4625 PetscFunctionReturn(PETSC_SUCCESS); 4626 } 4627 4628 static PetscErrorCode MatCOOStructDestroy_SeqAIJ(void **data) 4629 { 4630 MatCOOStruct_SeqAIJ *coo = (MatCOOStruct_SeqAIJ *)*data; 4631 4632 PetscFunctionBegin; 4633 PetscCall(PetscFree(coo->perm)); 4634 PetscCall(PetscFree(coo->jmap)); 4635 PetscCall(PetscFree(coo)); 4636 PetscFunctionReturn(PETSC_SUCCESS); 4637 } 4638 4639 PetscErrorCode MatSetPreallocationCOO_SeqAIJ(Mat mat, PetscCount coo_n, PetscInt coo_i[], PetscInt coo_j[]) 4640 { 4641 MPI_Comm comm; 4642 PetscInt *i, *j; 4643 PetscInt M, N, row, iprev; 4644 PetscCount k, p, q, nneg, nnz, start, end; /* Index the coo array, so use PetscCount as their type */ 4645 PetscInt *Ai; /* Change to PetscCount once we use it for row pointers */ 4646 PetscInt *Aj; 4647 PetscScalar *Aa; 4648 Mat_SeqAIJ *seqaij = (Mat_SeqAIJ *)mat->data; 4649 MatType rtype; 4650 PetscCount *perm, *jmap; 4651 MatCOOStruct_SeqAIJ *coo; 4652 PetscBool isorted; 4653 PetscBool hypre; 4654 4655 PetscFunctionBegin; 4656 PetscCall(PetscObjectGetComm((PetscObject)mat, &comm)); 4657 PetscCall(MatGetSize(mat, &M, &N)); 4658 i = coo_i; 4659 j = coo_j; 4660 PetscCall(PetscMalloc1(coo_n, &perm)); 4661 4662 /* Ignore entries with negative row or col indices; at the same time, check if i[] is already sorted (e.g., MatConvert_AlJ_HYPRE results in this case) */ 4663 isorted = PETSC_TRUE; 4664 iprev = PETSC_INT_MIN; 4665 for (k = 0; k < coo_n; k++) { 4666 if (j[k] < 0) i[k] = -1; 4667 if (isorted) { 4668 if (i[k] < iprev) isorted = PETSC_FALSE; 4669 else iprev = i[k]; 4670 } 4671 perm[k] = k; 4672 } 4673 4674 /* Sort by row if not already */ 4675 if (!isorted) PetscCall(PetscSortIntWithIntCountArrayPair(coo_n, i, j, perm)); 4676 PetscCheck(i == NULL || i[coo_n - 1] < M, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "COO row index %" PetscInt_FMT " is >= the matrix row size %" PetscInt_FMT, i[coo_n - 1], M); 4677 4678 /* Advance k to the first row with a non-negative index */ 4679 for (k = 0; k < coo_n; k++) 4680 if (i[k] >= 0) break; 4681 nneg = k; 4682 PetscCall(PetscMalloc1(coo_n - nneg + 1, &jmap)); /* +1 to make a CSR-like data structure. jmap[i] originally is the number of repeats for i-th nonzero */ 4683 nnz = 0; /* Total number of unique nonzeros to be counted */ 4684 jmap++; /* Inc jmap by 1 for convenience */ 4685 4686 PetscCall(PetscShmgetAllocateArray(M + 1, sizeof(PetscInt), (void **)&Ai)); /* CSR of A */ 4687 PetscCall(PetscArrayzero(Ai, M + 1)); 4688 PetscCall(PetscShmgetAllocateArray(coo_n - nneg, sizeof(PetscInt), (void **)&Aj)); /* We have at most coo_n-nneg unique nonzeros */ 4689 4690 PetscCall(PetscStrcmp("_internal_COO_mat_for_hypre", ((PetscObject)mat)->name, &hypre)); 4691 4692 /* In each row, sort by column, then unique column indices to get row length */ 4693 Ai++; /* Inc by 1 for convenience */ 4694 q = 0; /* q-th unique nonzero, with q starting from 0 */ 4695 while (k < coo_n) { 4696 PetscBool strictly_sorted; // this row is strictly sorted? 4697 PetscInt jprev; 4698 4699 /* get [start,end) indices for this row; also check if cols in this row are strictly sorted */ 4700 row = i[k]; 4701 start = k; 4702 jprev = PETSC_INT_MIN; 4703 strictly_sorted = PETSC_TRUE; 4704 while (k < coo_n && i[k] == row) { 4705 if (strictly_sorted) { 4706 if (j[k] <= jprev) strictly_sorted = PETSC_FALSE; 4707 else jprev = j[k]; 4708 } 4709 k++; 4710 } 4711 end = k; 4712 4713 /* hack for HYPRE: swap min column to diag so that diagonal values will go first */ 4714 if (hypre) { 4715 PetscInt minj = PETSC_INT_MAX; 4716 PetscBool hasdiag = PETSC_FALSE; 4717 4718 if (strictly_sorted) { // fast path to swap the first and the diag 4719 PetscCount tmp; 4720 for (p = start; p < end; p++) { 4721 if (j[p] == row && p != start) { 4722 j[p] = j[start]; // swap j[], so that the diagonal value will go first (manipulated by perm[]) 4723 j[start] = row; 4724 tmp = perm[start]; 4725 perm[start] = perm[p]; // also swap perm[] so we can save the call to PetscSortIntWithCountArray() below 4726 perm[p] = tmp; 4727 break; 4728 } 4729 } 4730 } else { 4731 for (p = start; p < end; p++) { 4732 hasdiag = (PetscBool)(hasdiag || (j[p] == row)); 4733 minj = PetscMin(minj, j[p]); 4734 } 4735 4736 if (hasdiag) { 4737 for (p = start; p < end; p++) { 4738 if (j[p] == minj) j[p] = row; 4739 else if (j[p] == row) j[p] = minj; 4740 } 4741 } 4742 } 4743 } 4744 // sort by columns in a row. perm[] indicates their original order 4745 if (!strictly_sorted) PetscCall(PetscSortIntWithCountArray(end - start, j + start, perm + start)); 4746 PetscCheck(end == start || j[end - 1] < N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "COO column index %" PetscInt_FMT " is >= the matrix column size %" PetscInt_FMT, j[end - 1], N); 4747 4748 if (strictly_sorted) { // fast path to set Aj[], jmap[], Ai[], nnz, q 4749 for (p = start; p < end; p++, q++) { 4750 Aj[q] = j[p]; 4751 jmap[q] = 1; 4752 } 4753 PetscCall(PetscIntCast(end - start, Ai + row)); 4754 nnz += Ai[row]; // q is already advanced 4755 } else { 4756 /* Find number of unique col entries in this row */ 4757 Aj[q] = j[start]; /* Log the first nonzero in this row */ 4758 jmap[q] = 1; /* Number of repeats of this nonzero entry */ 4759 Ai[row] = 1; 4760 nnz++; 4761 4762 for (p = start + 1; p < end; p++) { /* Scan remaining nonzero in this row */ 4763 if (j[p] != j[p - 1]) { /* Meet a new nonzero */ 4764 q++; 4765 jmap[q] = 1; 4766 Aj[q] = j[p]; 4767 Ai[row]++; 4768 nnz++; 4769 } else { 4770 jmap[q]++; 4771 } 4772 } 4773 q++; /* Move to next row and thus next unique nonzero */ 4774 } 4775 } 4776 4777 Ai--; /* Back to the beginning of Ai[] */ 4778 for (k = 0; k < M; k++) Ai[k + 1] += Ai[k]; 4779 jmap--; // Back to the beginning of jmap[] 4780 jmap[0] = 0; 4781 for (k = 0; k < nnz; k++) jmap[k + 1] += jmap[k]; 4782 4783 if (nnz < coo_n - nneg) { /* Reallocate with actual number of unique nonzeros */ 4784 PetscCount *jmap_new; 4785 PetscInt *Aj_new; 4786 4787 PetscCall(PetscMalloc1(nnz + 1, &jmap_new)); 4788 PetscCall(PetscArraycpy(jmap_new, jmap, nnz + 1)); 4789 PetscCall(PetscFree(jmap)); 4790 jmap = jmap_new; 4791 4792 PetscCall(PetscShmgetAllocateArray(nnz, sizeof(PetscInt), (void **)&Aj_new)); 4793 PetscCall(PetscArraycpy(Aj_new, Aj, nnz)); 4794 PetscCall(PetscShmgetDeallocateArray((void **)&Aj)); 4795 Aj = Aj_new; 4796 } 4797 4798 if (nneg) { /* Discard heading entries with negative indices in perm[], as we'll access it from index 0 in MatSetValuesCOO */ 4799 PetscCount *perm_new; 4800 4801 PetscCall(PetscMalloc1(coo_n - nneg, &perm_new)); 4802 PetscCall(PetscArraycpy(perm_new, perm + nneg, coo_n - nneg)); 4803 PetscCall(PetscFree(perm)); 4804 perm = perm_new; 4805 } 4806 4807 PetscCall(MatGetRootType_Private(mat, &rtype)); 4808 PetscCall(PetscShmgetAllocateArray(nnz, sizeof(PetscScalar), (void **)&Aa)); 4809 PetscCall(PetscArrayzero(Aa, nnz)); 4810 PetscCall(MatSetSeqAIJWithArrays_private(PETSC_COMM_SELF, M, N, Ai, Aj, Aa, rtype, mat)); 4811 4812 seqaij->free_a = seqaij->free_ij = PETSC_TRUE; /* Let newmat own Ai, Aj and Aa */ 4813 4814 // Put the COO struct in a container and then attach that to the matrix 4815 PetscCall(PetscMalloc1(1, &coo)); 4816 PetscCall(PetscIntCast(nnz, &coo->nz)); 4817 coo->n = coo_n; 4818 coo->Atot = coo_n - nneg; // Annz is seqaij->nz, so no need to record that again 4819 coo->jmap = jmap; // of length nnz+1 4820 coo->perm = perm; 4821 PetscCall(PetscObjectContainerCompose((PetscObject)mat, "__PETSc_MatCOOStruct_Host", coo, MatCOOStructDestroy_SeqAIJ)); 4822 PetscFunctionReturn(PETSC_SUCCESS); 4823 } 4824 4825 static PetscErrorCode MatSetValuesCOO_SeqAIJ(Mat A, const PetscScalar v[], InsertMode imode) 4826 { 4827 Mat_SeqAIJ *aseq = (Mat_SeqAIJ *)A->data; 4828 PetscCount i, j, Annz = aseq->nz; 4829 PetscCount *perm, *jmap; 4830 PetscScalar *Aa; 4831 PetscContainer container; 4832 MatCOOStruct_SeqAIJ *coo; 4833 4834 PetscFunctionBegin; 4835 PetscCall(PetscObjectQuery((PetscObject)A, "__PETSc_MatCOOStruct_Host", (PetscObject *)&container)); 4836 PetscCheck(container, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not found MatCOOStruct on this matrix"); 4837 PetscCall(PetscContainerGetPointer(container, (void **)&coo)); 4838 perm = coo->perm; 4839 jmap = coo->jmap; 4840 PetscCall(MatSeqAIJGetArray(A, &Aa)); 4841 for (i = 0; i < Annz; i++) { 4842 PetscScalar sum = 0.0; 4843 for (j = jmap[i]; j < jmap[i + 1]; j++) sum += v[perm[j]]; 4844 Aa[i] = (imode == INSERT_VALUES ? 0.0 : Aa[i]) + sum; 4845 } 4846 PetscCall(MatSeqAIJRestoreArray(A, &Aa)); 4847 PetscFunctionReturn(PETSC_SUCCESS); 4848 } 4849 4850 #if defined(PETSC_HAVE_CUDA) 4851 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCUSPARSE(Mat, MatType, MatReuse, Mat *); 4852 #endif 4853 #if defined(PETSC_HAVE_HIP) 4854 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJHIPSPARSE(Mat, MatType, MatReuse, Mat *); 4855 #endif 4856 #if defined(PETSC_HAVE_KOKKOS_KERNELS) 4857 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJKokkos(Mat, MatType, MatReuse, Mat *); 4858 #endif 4859 4860 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B) 4861 { 4862 Mat_SeqAIJ *b; 4863 PetscMPIInt size; 4864 4865 PetscFunctionBegin; 4866 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)B), &size)); 4867 PetscCheck(size <= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Comm must be of size 1"); 4868 4869 PetscCall(PetscNew(&b)); 4870 4871 B->data = (void *)b; 4872 B->ops[0] = MatOps_Values; 4873 if (B->sortedfull) B->ops->setvalues = MatSetValues_SeqAIJ_SortedFull; 4874 4875 b->row = NULL; 4876 b->col = NULL; 4877 b->icol = NULL; 4878 b->reallocs = 0; 4879 b->ignorezeroentries = PETSC_FALSE; 4880 b->roworiented = PETSC_TRUE; 4881 b->nonew = 0; 4882 b->diag = NULL; 4883 b->solve_work = NULL; 4884 B->spptr = NULL; 4885 b->saved_values = NULL; 4886 b->idiag = NULL; 4887 b->mdiag = NULL; 4888 b->ssor_work = NULL; 4889 b->omega = 1.0; 4890 b->fshift = 0.0; 4891 b->idiagvalid = PETSC_FALSE; 4892 b->ibdiagvalid = PETSC_FALSE; 4893 b->keepnonzeropattern = PETSC_FALSE; 4894 4895 PetscCall(PetscObjectChangeTypeName((PetscObject)B, MATSEQAIJ)); 4896 #if defined(PETSC_HAVE_MATLAB) 4897 PetscCall(PetscObjectComposeFunction((PetscObject)B, "PetscMatlabEnginePut_C", MatlabEnginePut_SeqAIJ)); 4898 PetscCall(PetscObjectComposeFunction((PetscObject)B, "PetscMatlabEngineGet_C", MatlabEngineGet_SeqAIJ)); 4899 #endif 4900 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqAIJSetColumnIndices_C", MatSeqAIJSetColumnIndices_SeqAIJ)); 4901 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatStoreValues_C", MatStoreValues_SeqAIJ)); 4902 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatRetrieveValues_C", MatRetrieveValues_SeqAIJ)); 4903 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqsbaij_C", MatConvert_SeqAIJ_SeqSBAIJ)); 4904 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqbaij_C", MatConvert_SeqAIJ_SeqBAIJ)); 4905 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijperm_C", MatConvert_SeqAIJ_SeqAIJPERM)); 4906 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijsell_C", MatConvert_SeqAIJ_SeqAIJSELL)); 4907 #if defined(PETSC_HAVE_MKL_SPARSE) 4908 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijmkl_C", MatConvert_SeqAIJ_SeqAIJMKL)); 4909 #endif 4910 #if defined(PETSC_HAVE_CUDA) 4911 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijcusparse_C", MatConvert_SeqAIJ_SeqAIJCUSPARSE)); 4912 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqaijcusparse_seqaij_C", MatProductSetFromOptions_SeqAIJ)); 4913 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqaij_seqaijcusparse_C", MatProductSetFromOptions_SeqAIJ)); 4914 #endif 4915 #if defined(PETSC_HAVE_HIP) 4916 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijhipsparse_C", MatConvert_SeqAIJ_SeqAIJHIPSPARSE)); 4917 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqaijhipsparse_seqaij_C", MatProductSetFromOptions_SeqAIJ)); 4918 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqaij_seqaijhipsparse_C", MatProductSetFromOptions_SeqAIJ)); 4919 #endif 4920 #if defined(PETSC_HAVE_KOKKOS_KERNELS) 4921 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijkokkos_C", MatConvert_SeqAIJ_SeqAIJKokkos)); 4922 #endif 4923 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqaijcrl_C", MatConvert_SeqAIJ_SeqAIJCRL)); 4924 #if defined(PETSC_HAVE_ELEMENTAL) 4925 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_elemental_C", MatConvert_SeqAIJ_Elemental)); 4926 #endif 4927 #if defined(PETSC_HAVE_SCALAPACK) 4928 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_scalapack_C", MatConvert_AIJ_ScaLAPACK)); 4929 #endif 4930 #if defined(PETSC_HAVE_HYPRE) 4931 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_hypre_C", MatConvert_AIJ_HYPRE)); 4932 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_transpose_seqaij_seqaij_C", MatProductSetFromOptions_Transpose_AIJ_AIJ)); 4933 #endif 4934 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqdense_C", MatConvert_SeqAIJ_SeqDense)); 4935 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_seqsell_C", MatConvert_SeqAIJ_SeqSELL)); 4936 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatConvert_seqaij_is_C", MatConvert_XAIJ_IS)); 4937 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatIsTranspose_C", MatIsTranspose_SeqAIJ)); 4938 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatIsHermitianTranspose_C", MatIsHermitianTranspose_SeqAIJ)); 4939 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqAIJSetPreallocation_C", MatSeqAIJSetPreallocation_SeqAIJ)); 4940 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatResetPreallocation_C", MatResetPreallocation_SeqAIJ)); 4941 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatResetHash_C", MatResetHash_SeqAIJ)); 4942 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqAIJSetPreallocationCSR_C", MatSeqAIJSetPreallocationCSR_SeqAIJ)); 4943 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatReorderForNonzeroDiagonal_C", MatReorderForNonzeroDiagonal_SeqAIJ)); 4944 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_is_seqaij_C", MatProductSetFromOptions_IS_XAIJ)); 4945 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqdense_seqaij_C", MatProductSetFromOptions_SeqDense_SeqAIJ)); 4946 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatProductSetFromOptions_seqaij_seqaij_C", MatProductSetFromOptions_SeqAIJ)); 4947 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSeqAIJKron_C", MatSeqAIJKron_SeqAIJ)); 4948 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSetPreallocationCOO_C", MatSetPreallocationCOO_SeqAIJ)); 4949 PetscCall(PetscObjectComposeFunction((PetscObject)B, "MatSetValuesCOO_C", MatSetValuesCOO_SeqAIJ)); 4950 PetscCall(MatCreate_SeqAIJ_Inode(B)); 4951 PetscCall(PetscObjectChangeTypeName((PetscObject)B, MATSEQAIJ)); 4952 PetscCall(MatSeqAIJSetTypeFromOptions(B)); /* this allows changing the matrix subtype to say MATSEQAIJPERM */ 4953 PetscFunctionReturn(PETSC_SUCCESS); 4954 } 4955 4956 /* 4957 Given a matrix generated with MatGetFactor() duplicates all the information in A into C 4958 */ 4959 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C, Mat A, MatDuplicateOption cpvalues, PetscBool mallocmatspace) 4960 { 4961 Mat_SeqAIJ *c = (Mat_SeqAIJ *)C->data, *a = (Mat_SeqAIJ *)A->data; 4962 PetscInt m = A->rmap->n, i; 4963 4964 PetscFunctionBegin; 4965 PetscCheck(A->assembled || cpvalues == MAT_DO_NOT_COPY_VALUES, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Cannot duplicate unassembled matrix"); 4966 4967 C->factortype = A->factortype; 4968 c->row = NULL; 4969 c->col = NULL; 4970 c->icol = NULL; 4971 c->reallocs = 0; 4972 c->diagonaldense = a->diagonaldense; 4973 4974 C->assembled = A->assembled; 4975 4976 if (A->preallocated) { 4977 PetscCall(PetscLayoutReference(A->rmap, &C->rmap)); 4978 PetscCall(PetscLayoutReference(A->cmap, &C->cmap)); 4979 4980 if (!A->hash_active) { 4981 PetscCall(PetscMalloc1(m, &c->imax)); 4982 PetscCall(PetscMemcpy(c->imax, a->imax, m * sizeof(PetscInt))); 4983 PetscCall(PetscMalloc1(m, &c->ilen)); 4984 PetscCall(PetscMemcpy(c->ilen, a->ilen, m * sizeof(PetscInt))); 4985 4986 /* allocate the matrix space */ 4987 if (mallocmatspace) { 4988 PetscCall(PetscShmgetAllocateArray(a->i[m], sizeof(PetscScalar), (void **)&c->a)); 4989 PetscCall(PetscShmgetAllocateArray(a->i[m], sizeof(PetscInt), (void **)&c->j)); 4990 PetscCall(PetscShmgetAllocateArray(m + 1, sizeof(PetscInt), (void **)&c->i)); 4991 PetscCall(PetscArraycpy(c->i, a->i, m + 1)); 4992 c->free_a = PETSC_TRUE; 4993 c->free_ij = PETSC_TRUE; 4994 if (m > 0) { 4995 PetscCall(PetscArraycpy(c->j, a->j, a->i[m])); 4996 if (cpvalues == MAT_COPY_VALUES) { 4997 const PetscScalar *aa; 4998 4999 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 5000 PetscCall(PetscArraycpy(c->a, aa, a->i[m])); 5001 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 5002 } else { 5003 PetscCall(PetscArrayzero(c->a, a->i[m])); 5004 } 5005 } 5006 } 5007 C->preallocated = PETSC_TRUE; 5008 } else { 5009 PetscCheck(mallocmatspace, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_WRONGSTATE, "Cannot malloc matrix memory from a non-preallocated matrix"); 5010 PetscCall(MatSetUp(C)); 5011 } 5012 5013 c->ignorezeroentries = a->ignorezeroentries; 5014 c->roworiented = a->roworiented; 5015 c->nonew = a->nonew; 5016 if (a->diag) { 5017 PetscCall(PetscMalloc1(m + 1, &c->diag)); 5018 PetscCall(PetscMemcpy(c->diag, a->diag, m * sizeof(PetscInt))); 5019 } else c->diag = NULL; 5020 5021 c->solve_work = NULL; 5022 c->saved_values = NULL; 5023 c->idiag = NULL; 5024 c->ssor_work = NULL; 5025 c->keepnonzeropattern = a->keepnonzeropattern; 5026 5027 c->rmax = a->rmax; 5028 c->nz = a->nz; 5029 c->maxnz = a->nz; /* Since we allocate exactly the right amount */ 5030 5031 c->compressedrow.use = a->compressedrow.use; 5032 c->compressedrow.nrows = a->compressedrow.nrows; 5033 if (a->compressedrow.use) { 5034 i = a->compressedrow.nrows; 5035 PetscCall(PetscMalloc2(i + 1, &c->compressedrow.i, i, &c->compressedrow.rindex)); 5036 PetscCall(PetscArraycpy(c->compressedrow.i, a->compressedrow.i, i + 1)); 5037 PetscCall(PetscArraycpy(c->compressedrow.rindex, a->compressedrow.rindex, i)); 5038 } else { 5039 c->compressedrow.use = PETSC_FALSE; 5040 c->compressedrow.i = NULL; 5041 c->compressedrow.rindex = NULL; 5042 } 5043 c->nonzerorowcnt = a->nonzerorowcnt; 5044 C->nonzerostate = A->nonzerostate; 5045 5046 PetscCall(MatDuplicate_SeqAIJ_Inode(A, cpvalues, &C)); 5047 } 5048 PetscCall(PetscFunctionListDuplicate(((PetscObject)A)->qlist, &((PetscObject)C)->qlist)); 5049 PetscFunctionReturn(PETSC_SUCCESS); 5050 } 5051 5052 PetscErrorCode MatDuplicate_SeqAIJ(Mat A, MatDuplicateOption cpvalues, Mat *B) 5053 { 5054 PetscFunctionBegin; 5055 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), B)); 5056 PetscCall(MatSetSizes(*B, A->rmap->n, A->cmap->n, A->rmap->n, A->cmap->n)); 5057 if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) PetscCall(MatSetBlockSizesFromMats(*B, A, A)); 5058 PetscCall(MatSetType(*B, ((PetscObject)A)->type_name)); 5059 PetscCall(MatDuplicateNoCreate_SeqAIJ(*B, A, cpvalues, PETSC_TRUE)); 5060 PetscFunctionReturn(PETSC_SUCCESS); 5061 } 5062 5063 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer) 5064 { 5065 PetscBool isbinary, ishdf5; 5066 5067 PetscFunctionBegin; 5068 PetscValidHeaderSpecific(newMat, MAT_CLASSID, 1); 5069 PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2); 5070 /* force binary viewer to load .info file if it has not yet done so */ 5071 PetscCall(PetscViewerSetUp(viewer)); 5072 PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary)); 5073 PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERHDF5, &ishdf5)); 5074 if (isbinary) { 5075 PetscCall(MatLoad_SeqAIJ_Binary(newMat, viewer)); 5076 } else if (ishdf5) { 5077 #if defined(PETSC_HAVE_HDF5) 5078 PetscCall(MatLoad_AIJ_HDF5(newMat, viewer)); 5079 #else 5080 SETERRQ(PetscObjectComm((PetscObject)newMat), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5"); 5081 #endif 5082 } else { 5083 SETERRQ(PetscObjectComm((PetscObject)newMat), PETSC_ERR_SUP, "Viewer type %s not yet supported for reading %s matrices", ((PetscObject)viewer)->type_name, ((PetscObject)newMat)->type_name); 5084 } 5085 PetscFunctionReturn(PETSC_SUCCESS); 5086 } 5087 5088 PetscErrorCode MatLoad_SeqAIJ_Binary(Mat mat, PetscViewer viewer) 5089 { 5090 Mat_SeqAIJ *a = (Mat_SeqAIJ *)mat->data; 5091 PetscInt header[4], *rowlens, M, N, nz, sum, rows, cols, i; 5092 5093 PetscFunctionBegin; 5094 PetscCall(PetscViewerSetUp(viewer)); 5095 5096 /* read in matrix header */ 5097 PetscCall(PetscViewerBinaryRead(viewer, header, 4, NULL, PETSC_INT)); 5098 PetscCheck(header[0] == MAT_FILE_CLASSID, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a matrix object in file"); 5099 M = header[1]; 5100 N = header[2]; 5101 nz = header[3]; 5102 PetscCheck(M >= 0, PetscObjectComm((PetscObject)viewer), PETSC_ERR_FILE_UNEXPECTED, "Matrix row size (%" PetscInt_FMT ") in file is negative", M); 5103 PetscCheck(N >= 0, PetscObjectComm((PetscObject)viewer), PETSC_ERR_FILE_UNEXPECTED, "Matrix column size (%" PetscInt_FMT ") in file is negative", N); 5104 PetscCheck(nz >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Matrix stored in special format on disk, cannot load as SeqAIJ"); 5105 5106 /* set block sizes from the viewer's .info file */ 5107 PetscCall(MatLoad_Binary_BlockSizes(mat, viewer)); 5108 /* set local and global sizes if not set already */ 5109 if (mat->rmap->n < 0) mat->rmap->n = M; 5110 if (mat->cmap->n < 0) mat->cmap->n = N; 5111 if (mat->rmap->N < 0) mat->rmap->N = M; 5112 if (mat->cmap->N < 0) mat->cmap->N = N; 5113 PetscCall(PetscLayoutSetUp(mat->rmap)); 5114 PetscCall(PetscLayoutSetUp(mat->cmap)); 5115 5116 /* check if the matrix sizes are correct */ 5117 PetscCall(MatGetSize(mat, &rows, &cols)); 5118 PetscCheck(M == rows && N == cols, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Matrix in file of different sizes (%" PetscInt_FMT ", %" PetscInt_FMT ") than the input matrix (%" PetscInt_FMT ", %" PetscInt_FMT ")", M, N, rows, cols); 5119 5120 /* read in row lengths */ 5121 PetscCall(PetscMalloc1(M, &rowlens)); 5122 PetscCall(PetscViewerBinaryRead(viewer, rowlens, M, NULL, PETSC_INT)); 5123 /* check if sum(rowlens) is same as nz */ 5124 sum = 0; 5125 for (i = 0; i < M; i++) sum += rowlens[i]; 5126 PetscCheck(sum == nz, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Inconsistent matrix data in file: nonzeros = %" PetscInt_FMT ", sum-row-lengths = %" PetscInt_FMT, nz, sum); 5127 /* preallocate and check sizes */ 5128 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(mat, 0, rowlens)); 5129 PetscCall(MatGetSize(mat, &rows, &cols)); 5130 PetscCheck(M == rows && N == cols, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Matrix in file of different length (%" PetscInt_FMT ", %" PetscInt_FMT ") than the input matrix (%" PetscInt_FMT ", %" PetscInt_FMT ")", M, N, rows, cols); 5131 /* store row lengths */ 5132 PetscCall(PetscArraycpy(a->ilen, rowlens, M)); 5133 PetscCall(PetscFree(rowlens)); 5134 5135 /* fill in "i" row pointers */ 5136 a->i[0] = 0; 5137 for (i = 0; i < M; i++) a->i[i + 1] = a->i[i] + a->ilen[i]; 5138 /* read in "j" column indices */ 5139 PetscCall(PetscViewerBinaryRead(viewer, a->j, nz, NULL, PETSC_INT)); 5140 /* read in "a" nonzero values */ 5141 PetscCall(PetscViewerBinaryRead(viewer, a->a, nz, NULL, PETSC_SCALAR)); 5142 5143 PetscCall(MatAssemblyBegin(mat, MAT_FINAL_ASSEMBLY)); 5144 PetscCall(MatAssemblyEnd(mat, MAT_FINAL_ASSEMBLY)); 5145 PetscFunctionReturn(PETSC_SUCCESS); 5146 } 5147 5148 PetscErrorCode MatEqual_SeqAIJ(Mat A, Mat B, PetscBool *flg) 5149 { 5150 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data, *b = (Mat_SeqAIJ *)B->data; 5151 const PetscScalar *aa, *ba; 5152 #if defined(PETSC_USE_COMPLEX) 5153 PetscInt k; 5154 #endif 5155 5156 PetscFunctionBegin; 5157 /* If the matrix dimensions are not equal,or no of nonzeros */ 5158 if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) || (a->nz != b->nz)) { 5159 *flg = PETSC_FALSE; 5160 PetscFunctionReturn(PETSC_SUCCESS); 5161 } 5162 5163 /* if the a->i are the same */ 5164 PetscCall(PetscArraycmp(a->i, b->i, A->rmap->n + 1, flg)); 5165 if (!*flg) PetscFunctionReturn(PETSC_SUCCESS); 5166 5167 /* if a->j are the same */ 5168 PetscCall(PetscArraycmp(a->j, b->j, a->nz, flg)); 5169 if (!*flg) PetscFunctionReturn(PETSC_SUCCESS); 5170 5171 PetscCall(MatSeqAIJGetArrayRead(A, &aa)); 5172 PetscCall(MatSeqAIJGetArrayRead(B, &ba)); 5173 /* if a->a are the same */ 5174 #if defined(PETSC_USE_COMPLEX) 5175 for (k = 0; k < a->nz; k++) { 5176 if (PetscRealPart(aa[k]) != PetscRealPart(ba[k]) || PetscImaginaryPart(aa[k]) != PetscImaginaryPart(ba[k])) { 5177 *flg = PETSC_FALSE; 5178 PetscFunctionReturn(PETSC_SUCCESS); 5179 } 5180 } 5181 #else 5182 PetscCall(PetscArraycmp(aa, ba, a->nz, flg)); 5183 #endif 5184 PetscCall(MatSeqAIJRestoreArrayRead(A, &aa)); 5185 PetscCall(MatSeqAIJRestoreArrayRead(B, &ba)); 5186 PetscFunctionReturn(PETSC_SUCCESS); 5187 } 5188 5189 /*@ 5190 MatCreateSeqAIJWithArrays - Creates an sequential `MATSEQAIJ` matrix using matrix elements (in CSR format) 5191 provided by the user. 5192 5193 Collective 5194 5195 Input Parameters: 5196 + comm - must be an MPI communicator of size 1 5197 . m - number of rows 5198 . n - number of columns 5199 . i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of elements in that row of the matrix 5200 . j - column indices 5201 - a - matrix values 5202 5203 Output Parameter: 5204 . mat - the matrix 5205 5206 Level: intermediate 5207 5208 Notes: 5209 The `i`, `j`, and `a` arrays are not copied by this routine, the user must free these arrays 5210 once the matrix is destroyed and not before 5211 5212 You cannot set new nonzero locations into this matrix, that will generate an error. 5213 5214 The `i` and `j` indices are 0 based 5215 5216 The format which is used for the sparse matrix input, is equivalent to a 5217 row-major ordering.. i.e for the following matrix, the input data expected is 5218 as shown 5219 .vb 5220 1 0 0 5221 2 0 3 5222 4 5 6 5223 5224 i = {0,1,3,6} [size = nrow+1 = 3+1] 5225 j = {0,0,2,0,1,2} [size = 6]; values must be sorted for each row 5226 v = {1,2,3,4,5,6} [size = 6] 5227 .ve 5228 5229 .seealso: [](ch_matrices), `Mat`, `MatCreate()`, `MatCreateAIJ()`, `MatCreateSeqAIJ()`, `MatCreateMPIAIJWithArrays()`, `MatMPIAIJSetPreallocationCSR()` 5230 @*/ 5231 PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm comm, PetscInt m, PetscInt n, PetscInt i[], PetscInt j[], PetscScalar a[], Mat *mat) 5232 { 5233 PetscInt ii; 5234 Mat_SeqAIJ *aij; 5235 PetscInt jj; 5236 5237 PetscFunctionBegin; 5238 PetscCheck(m <= 0 || i[0] == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "i (row indices) must start with 0"); 5239 PetscCall(MatCreate(comm, mat)); 5240 PetscCall(MatSetSizes(*mat, m, n, m, n)); 5241 /* PetscCall(MatSetBlockSizes(*mat,,)); */ 5242 PetscCall(MatSetType(*mat, MATSEQAIJ)); 5243 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(*mat, MAT_SKIP_ALLOCATION, NULL)); 5244 aij = (Mat_SeqAIJ *)(*mat)->data; 5245 PetscCall(PetscMalloc1(m, &aij->imax)); 5246 PetscCall(PetscMalloc1(m, &aij->ilen)); 5247 5248 aij->i = i; 5249 aij->j = j; 5250 aij->a = a; 5251 aij->nonew = -1; /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/ 5252 aij->free_a = PETSC_FALSE; 5253 aij->free_ij = PETSC_FALSE; 5254 5255 for (ii = 0, aij->nonzerorowcnt = 0, aij->rmax = 0; ii < m; ii++) { 5256 aij->ilen[ii] = aij->imax[ii] = i[ii + 1] - i[ii]; 5257 if (PetscDefined(USE_DEBUG)) { 5258 PetscCheck(i[ii + 1] - i[ii] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative row length in i (row indices) row = %" PetscInt_FMT " length = %" PetscInt_FMT, ii, i[ii + 1] - i[ii]); 5259 for (jj = i[ii] + 1; jj < i[ii + 1]; jj++) { 5260 PetscCheck(j[jj] >= j[jj - 1], PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column entry number %" PetscInt_FMT " (actual column %" PetscInt_FMT ") in row %" PetscInt_FMT " is not sorted", jj - i[ii], j[jj], ii); 5261 PetscCheck(j[jj] != j[jj - 1], PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column entry number %" PetscInt_FMT " (actual column %" PetscInt_FMT ") in row %" PetscInt_FMT " is identical to previous entry", jj - i[ii], j[jj], ii); 5262 } 5263 } 5264 } 5265 if (PetscDefined(USE_DEBUG)) { 5266 for (ii = 0; ii < aij->i[m]; ii++) { 5267 PetscCheck(j[ii] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Negative column index at location = %" PetscInt_FMT " index = %" PetscInt_FMT, ii, j[ii]); 5268 PetscCheck(j[ii] <= n - 1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Column index to large at location = %" PetscInt_FMT " index = %" PetscInt_FMT " last column = %" PetscInt_FMT, ii, j[ii], n - 1); 5269 } 5270 } 5271 5272 PetscCall(MatAssemblyBegin(*mat, MAT_FINAL_ASSEMBLY)); 5273 PetscCall(MatAssemblyEnd(*mat, MAT_FINAL_ASSEMBLY)); 5274 PetscFunctionReturn(PETSC_SUCCESS); 5275 } 5276 5277 /*@ 5278 MatCreateSeqAIJFromTriple - Creates an sequential `MATSEQAIJ` matrix using matrix elements (in COO format) 5279 provided by the user. 5280 5281 Collective 5282 5283 Input Parameters: 5284 + comm - must be an MPI communicator of size 1 5285 . m - number of rows 5286 . n - number of columns 5287 . i - row indices 5288 . j - column indices 5289 . a - matrix values 5290 . nz - number of nonzeros 5291 - idx - if the `i` and `j` indices start with 1 use `PETSC_TRUE` otherwise use `PETSC_FALSE` 5292 5293 Output Parameter: 5294 . mat - the matrix 5295 5296 Level: intermediate 5297 5298 Example: 5299 For the following matrix, the input data expected is as shown (using 0 based indexing) 5300 .vb 5301 1 0 0 5302 2 0 3 5303 4 5 6 5304 5305 i = {0,1,1,2,2,2} 5306 j = {0,0,2,0,1,2} 5307 v = {1,2,3,4,5,6} 5308 .ve 5309 5310 Note: 5311 Instead of using this function, users should also consider `MatSetPreallocationCOO()` and `MatSetValuesCOO()`, which allow repeated or remote entries, 5312 and are particularly useful in iterative applications. 5313 5314 .seealso: [](ch_matrices), `Mat`, `MatCreate()`, `MatCreateAIJ()`, `MatCreateSeqAIJ()`, `MatCreateSeqAIJWithArrays()`, `MatMPIAIJSetPreallocationCSR()`, `MatSetValuesCOO()`, `MatSetPreallocationCOO()` 5315 @*/ 5316 PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm comm, PetscInt m, PetscInt n, PetscInt i[], PetscInt j[], PetscScalar a[], Mat *mat, PetscCount nz, PetscBool idx) 5317 { 5318 PetscInt ii, *nnz, one = 1, row, col; 5319 5320 PetscFunctionBegin; 5321 PetscCall(PetscCalloc1(m, &nnz)); 5322 for (ii = 0; ii < nz; ii++) nnz[i[ii] - !!idx] += 1; 5323 PetscCall(MatCreate(comm, mat)); 5324 PetscCall(MatSetSizes(*mat, m, n, m, n)); 5325 PetscCall(MatSetType(*mat, MATSEQAIJ)); 5326 PetscCall(MatSeqAIJSetPreallocation_SeqAIJ(*mat, 0, nnz)); 5327 for (ii = 0; ii < nz; ii++) { 5328 if (idx) { 5329 row = i[ii] - 1; 5330 col = j[ii] - 1; 5331 } else { 5332 row = i[ii]; 5333 col = j[ii]; 5334 } 5335 PetscCall(MatSetValues(*mat, one, &row, one, &col, &a[ii], ADD_VALUES)); 5336 } 5337 PetscCall(MatAssemblyBegin(*mat, MAT_FINAL_ASSEMBLY)); 5338 PetscCall(MatAssemblyEnd(*mat, MAT_FINAL_ASSEMBLY)); 5339 PetscCall(PetscFree(nnz)); 5340 PetscFunctionReturn(PETSC_SUCCESS); 5341 } 5342 5343 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A) 5344 { 5345 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 5346 5347 PetscFunctionBegin; 5348 a->idiagvalid = PETSC_FALSE; 5349 a->ibdiagvalid = PETSC_FALSE; 5350 5351 PetscCall(MatSeqAIJInvalidateDiagonal_Inode(A)); 5352 PetscFunctionReturn(PETSC_SUCCESS); 5353 } 5354 5355 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm, Mat inmat, PetscInt n, MatReuse scall, Mat *outmat) 5356 { 5357 PetscFunctionBegin; 5358 PetscCall(MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm, inmat, n, scall, outmat)); 5359 PetscFunctionReturn(PETSC_SUCCESS); 5360 } 5361 5362 /* 5363 Permute A into C's *local* index space using rowemb,colemb. 5364 The embedding are supposed to be injections and the above implies that the range of rowemb is a subset 5365 of [0,m), colemb is in [0,n). 5366 If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A. 5367 */ 5368 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C, IS rowemb, IS colemb, MatStructure pattern, Mat B) 5369 { 5370 /* If making this function public, change the error returned in this function away from _PLIB. */ 5371 Mat_SeqAIJ *Baij; 5372 PetscBool seqaij; 5373 PetscInt m, n, *nz, i, j, count; 5374 PetscScalar v; 5375 const PetscInt *rowindices, *colindices; 5376 5377 PetscFunctionBegin; 5378 if (!B) PetscFunctionReturn(PETSC_SUCCESS); 5379 /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */ 5380 PetscCall(PetscObjectBaseTypeCompare((PetscObject)B, MATSEQAIJ, &seqaij)); 5381 PetscCheck(seqaij, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Input matrix is of wrong type"); 5382 if (rowemb) { 5383 PetscCall(ISGetLocalSize(rowemb, &m)); 5384 PetscCheck(m == B->rmap->n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Row IS of size %" PetscInt_FMT " is incompatible with matrix row size %" PetscInt_FMT, m, B->rmap->n); 5385 } else { 5386 PetscCheck(C->rmap->n == B->rmap->n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Input matrix is row-incompatible with the target matrix"); 5387 } 5388 if (colemb) { 5389 PetscCall(ISGetLocalSize(colemb, &n)); 5390 PetscCheck(n == B->cmap->n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Diag col IS of size %" PetscInt_FMT " is incompatible with input matrix col size %" PetscInt_FMT, n, B->cmap->n); 5391 } else { 5392 PetscCheck(C->cmap->n == B->cmap->n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Input matrix is col-incompatible with the target matrix"); 5393 } 5394 5395 Baij = (Mat_SeqAIJ *)B->data; 5396 if (pattern == DIFFERENT_NONZERO_PATTERN) { 5397 PetscCall(PetscMalloc1(B->rmap->n, &nz)); 5398 for (i = 0; i < B->rmap->n; i++) nz[i] = Baij->i[i + 1] - Baij->i[i]; 5399 PetscCall(MatSeqAIJSetPreallocation(C, 0, nz)); 5400 PetscCall(PetscFree(nz)); 5401 } 5402 if (pattern == SUBSET_NONZERO_PATTERN) PetscCall(MatZeroEntries(C)); 5403 count = 0; 5404 rowindices = NULL; 5405 colindices = NULL; 5406 if (rowemb) PetscCall(ISGetIndices(rowemb, &rowindices)); 5407 if (colemb) PetscCall(ISGetIndices(colemb, &colindices)); 5408 for (i = 0; i < B->rmap->n; i++) { 5409 PetscInt row; 5410 row = i; 5411 if (rowindices) row = rowindices[i]; 5412 for (j = Baij->i[i]; j < Baij->i[i + 1]; j++) { 5413 PetscInt col; 5414 col = Baij->j[count]; 5415 if (colindices) col = colindices[col]; 5416 v = Baij->a[count]; 5417 PetscCall(MatSetValues(C, 1, &row, 1, &col, &v, INSERT_VALUES)); 5418 ++count; 5419 } 5420 } 5421 /* FIXME: set C's nonzerostate correctly. */ 5422 /* Assembly for C is necessary. */ 5423 C->preallocated = PETSC_TRUE; 5424 C->assembled = PETSC_TRUE; 5425 C->was_assembled = PETSC_FALSE; 5426 PetscFunctionReturn(PETSC_SUCCESS); 5427 } 5428 5429 PetscErrorCode MatEliminateZeros_SeqAIJ(Mat A, PetscBool keep) 5430 { 5431 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 5432 MatScalar *aa = a->a; 5433 PetscInt m = A->rmap->n, fshift = 0, fshift_prev = 0, i, k; 5434 PetscInt *ailen = a->ilen, *imax = a->imax, *ai = a->i, *aj = a->j, rmax = 0; 5435 5436 PetscFunctionBegin; 5437 PetscCheck(A->assembled, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Cannot eliminate zeros for unassembled matrix"); 5438 if (m) rmax = ailen[0]; /* determine row with most nonzeros */ 5439 for (i = 1; i <= m; i++) { 5440 /* move each nonzero entry back by the amount of zero slots (fshift) before it*/ 5441 for (k = ai[i - 1]; k < ai[i]; k++) { 5442 if (aa[k] == 0 && (aj[k] != i - 1 || !keep)) fshift++; 5443 else { 5444 if (aa[k] == 0 && aj[k] == i - 1) PetscCall(PetscInfo(A, "Keep the diagonal zero at row %" PetscInt_FMT "\n", i - 1)); 5445 aa[k - fshift] = aa[k]; 5446 aj[k - fshift] = aj[k]; 5447 } 5448 } 5449 ai[i - 1] -= fshift_prev; // safe to update ai[i-1] now since it will not be used in the next iteration 5450 fshift_prev = fshift; 5451 /* reset ilen and imax for each row */ 5452 ailen[i - 1] = imax[i - 1] = ai[i] - fshift - ai[i - 1]; 5453 a->nonzerorowcnt += ((ai[i] - fshift - ai[i - 1]) > 0); 5454 rmax = PetscMax(rmax, ailen[i - 1]); 5455 } 5456 if (fshift) { 5457 if (m) { 5458 ai[m] -= fshift; 5459 a->nz = ai[m]; 5460 } 5461 PetscCall(PetscInfo(A, "Matrix size: %" PetscInt_FMT " X %" PetscInt_FMT "; zeros eliminated: %" PetscInt_FMT "; nonzeros left: %" PetscInt_FMT "\n", m, A->cmap->n, fshift, a->nz)); 5462 A->nonzerostate++; 5463 A->info.nz_unneeded += (PetscReal)fshift; 5464 a->rmax = rmax; 5465 if (a->inode.use && a->inode.checked) PetscCall(MatSeqAIJCheckInode(A)); 5466 PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY)); 5467 PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY)); 5468 } 5469 PetscFunctionReturn(PETSC_SUCCESS); 5470 } 5471 5472 PetscFunctionList MatSeqAIJList = NULL; 5473 5474 /*@ 5475 MatSeqAIJSetType - Converts a `MATSEQAIJ` matrix to a subtype 5476 5477 Collective 5478 5479 Input Parameters: 5480 + mat - the matrix object 5481 - matype - matrix type 5482 5483 Options Database Key: 5484 . -mat_seqaij_type <method> - for example seqaijcrl 5485 5486 Level: intermediate 5487 5488 .seealso: [](ch_matrices), `Mat`, `PCSetType()`, `VecSetType()`, `MatCreate()`, `MatType` 5489 @*/ 5490 PetscErrorCode MatSeqAIJSetType(Mat mat, MatType matype) 5491 { 5492 PetscBool sametype; 5493 PetscErrorCode (*r)(Mat, MatType, MatReuse, Mat *); 5494 5495 PetscFunctionBegin; 5496 PetscValidHeaderSpecific(mat, MAT_CLASSID, 1); 5497 PetscCall(PetscObjectTypeCompare((PetscObject)mat, matype, &sametype)); 5498 if (sametype) PetscFunctionReturn(PETSC_SUCCESS); 5499 5500 PetscCall(PetscFunctionListFind(MatSeqAIJList, matype, &r)); 5501 PetscCheck(r, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown Mat type given: %s", matype); 5502 PetscCall((*r)(mat, matype, MAT_INPLACE_MATRIX, &mat)); 5503 PetscFunctionReturn(PETSC_SUCCESS); 5504 } 5505 5506 /*@C 5507 MatSeqAIJRegister - - Adds a new sub-matrix type for sequential `MATSEQAIJ` matrices 5508 5509 Not Collective, No Fortran Support 5510 5511 Input Parameters: 5512 + sname - name of a new user-defined matrix type, for example `MATSEQAIJCRL` 5513 - function - routine to convert to subtype 5514 5515 Level: advanced 5516 5517 Notes: 5518 `MatSeqAIJRegister()` may be called multiple times to add several user-defined solvers. 5519 5520 Then, your matrix can be chosen with the procedural interface at runtime via the option 5521 .vb 5522 -mat_seqaij_type my_mat 5523 .ve 5524 5525 .seealso: [](ch_matrices), `Mat`, `MatSeqAIJRegisterAll()` 5526 @*/ 5527 PetscErrorCode MatSeqAIJRegister(const char sname[], PetscErrorCode (*function)(Mat, MatType, MatReuse, Mat *)) 5528 { 5529 PetscFunctionBegin; 5530 PetscCall(MatInitializePackage()); 5531 PetscCall(PetscFunctionListAdd(&MatSeqAIJList, sname, function)); 5532 PetscFunctionReturn(PETSC_SUCCESS); 5533 } 5534 5535 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE; 5536 5537 /*@C 5538 MatSeqAIJRegisterAll - Registers all of the matrix subtypes of `MATSSEQAIJ` 5539 5540 Not Collective 5541 5542 Level: advanced 5543 5544 Note: 5545 This registers the versions of `MATSEQAIJ` for GPUs 5546 5547 .seealso: [](ch_matrices), `Mat`, `MatRegisterAll()`, `MatSeqAIJRegister()` 5548 @*/ 5549 PetscErrorCode MatSeqAIJRegisterAll(void) 5550 { 5551 PetscFunctionBegin; 5552 if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(PETSC_SUCCESS); 5553 MatSeqAIJRegisterAllCalled = PETSC_TRUE; 5554 5555 PetscCall(MatSeqAIJRegister(MATSEQAIJCRL, MatConvert_SeqAIJ_SeqAIJCRL)); 5556 PetscCall(MatSeqAIJRegister(MATSEQAIJPERM, MatConvert_SeqAIJ_SeqAIJPERM)); 5557 PetscCall(MatSeqAIJRegister(MATSEQAIJSELL, MatConvert_SeqAIJ_SeqAIJSELL)); 5558 #if defined(PETSC_HAVE_MKL_SPARSE) 5559 PetscCall(MatSeqAIJRegister(MATSEQAIJMKL, MatConvert_SeqAIJ_SeqAIJMKL)); 5560 #endif 5561 #if defined(PETSC_HAVE_CUDA) 5562 PetscCall(MatSeqAIJRegister(MATSEQAIJCUSPARSE, MatConvert_SeqAIJ_SeqAIJCUSPARSE)); 5563 #endif 5564 #if defined(PETSC_HAVE_HIP) 5565 PetscCall(MatSeqAIJRegister(MATSEQAIJHIPSPARSE, MatConvert_SeqAIJ_SeqAIJHIPSPARSE)); 5566 #endif 5567 #if defined(PETSC_HAVE_KOKKOS_KERNELS) 5568 PetscCall(MatSeqAIJRegister(MATSEQAIJKOKKOS, MatConvert_SeqAIJ_SeqAIJKokkos)); 5569 #endif 5570 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA) 5571 PetscCall(MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL)); 5572 #endif 5573 PetscFunctionReturn(PETSC_SUCCESS); 5574 } 5575 5576 /* 5577 Special version for direct calls from Fortran 5578 */ 5579 #if defined(PETSC_HAVE_FORTRAN_CAPS) 5580 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ 5581 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE) 5582 #define matsetvaluesseqaij_ matsetvaluesseqaij 5583 #endif 5584 5585 /* Change these macros so can be used in void function */ 5586 5587 /* Change these macros so can be used in void function */ 5588 /* Identical to PetscCallVoid, except it assigns to *_ierr */ 5589 #undef PetscCall 5590 #define PetscCall(...) \ 5591 do { \ 5592 PetscErrorCode ierr_msv_mpiaij = __VA_ARGS__; \ 5593 if (PetscUnlikely(ierr_msv_mpiaij)) { \ 5594 *_ierr = PetscError(PETSC_COMM_SELF, __LINE__, PETSC_FUNCTION_NAME, __FILE__, ierr_msv_mpiaij, PETSC_ERROR_REPEAT, " "); \ 5595 return; \ 5596 } \ 5597 } while (0) 5598 5599 #undef SETERRQ 5600 #define SETERRQ(comm, ierr, ...) \ 5601 do { \ 5602 *_ierr = PetscError(comm, __LINE__, PETSC_FUNCTION_NAME, __FILE__, ierr, PETSC_ERROR_INITIAL, __VA_ARGS__); \ 5603 return; \ 5604 } while (0) 5605 5606 PETSC_EXTERN void matsetvaluesseqaij_(Mat *AA, PetscInt *mm, const PetscInt im[], PetscInt *nn, const PetscInt in[], const PetscScalar v[], InsertMode *isis, PetscErrorCode *_ierr) 5607 { 5608 Mat A = *AA; 5609 PetscInt m = *mm, n = *nn; 5610 InsertMode is = *isis; 5611 Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data; 5612 PetscInt *rp, k, low, high, t, ii, row, nrow, i, col, l, rmax, N; 5613 PetscInt *imax, *ai, *ailen; 5614 PetscInt *aj, nonew = a->nonew, lastcol = -1; 5615 MatScalar *ap, value, *aa; 5616 PetscBool ignorezeroentries = a->ignorezeroentries; 5617 PetscBool roworiented = a->roworiented; 5618 5619 PetscFunctionBegin; 5620 MatCheckPreallocated(A, 1); 5621 imax = a->imax; 5622 ai = a->i; 5623 ailen = a->ilen; 5624 aj = a->j; 5625 aa = a->a; 5626 5627 for (k = 0; k < m; k++) { /* loop over added rows */ 5628 row = im[k]; 5629 if (row < 0) continue; 5630 PetscCheck(row < A->rmap->n, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_OUTOFRANGE, "Row too large"); 5631 rp = aj + ai[row]; 5632 ap = aa + ai[row]; 5633 rmax = imax[row]; 5634 nrow = ailen[row]; 5635 low = 0; 5636 high = nrow; 5637 for (l = 0; l < n; l++) { /* loop over added columns */ 5638 if (in[l] < 0) continue; 5639 PetscCheck(in[l] < A->cmap->n, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_OUTOFRANGE, "Column too large"); 5640 col = in[l]; 5641 if (roworiented) value = v[l + k * n]; 5642 else value = v[k + l * m]; 5643 5644 if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue; 5645 5646 if (col <= lastcol) low = 0; 5647 else high = nrow; 5648 lastcol = col; 5649 while (high - low > 5) { 5650 t = (low + high) / 2; 5651 if (rp[t] > col) high = t; 5652 else low = t; 5653 } 5654 for (i = low; i < high; i++) { 5655 if (rp[i] > col) break; 5656 if (rp[i] == col) { 5657 if (is == ADD_VALUES) ap[i] += value; 5658 else ap[i] = value; 5659 goto noinsert; 5660 } 5661 } 5662 if (value == 0.0 && ignorezeroentries) goto noinsert; 5663 if (nonew == 1) goto noinsert; 5664 PetscCheck(nonew != -1, PetscObjectComm((PetscObject)A), PETSC_ERR_ARG_OUTOFRANGE, "Inserting a new nonzero in the matrix"); 5665 MatSeqXAIJReallocateAIJ(A, A->rmap->n, 1, nrow, row, col, rmax, aa, ai, aj, rp, ap, imax, nonew, MatScalar); 5666 N = nrow++ - 1; 5667 a->nz++; 5668 high++; 5669 /* shift up all the later entries in this row */ 5670 for (ii = N; ii >= i; ii--) { 5671 rp[ii + 1] = rp[ii]; 5672 ap[ii + 1] = ap[ii]; 5673 } 5674 rp[i] = col; 5675 ap[i] = value; 5676 noinsert:; 5677 low = i + 1; 5678 } 5679 ailen[row] = nrow; 5680 } 5681 PetscFunctionReturnVoid(); 5682 } 5683 /* Undefining these here since they were redefined from their original definition above! No 5684 * other PETSc functions should be defined past this point, as it is impossible to recover the 5685 * original definitions */ 5686 #undef PetscCall 5687 #undef SETERRQ 5688