#pragma once #include #include /* For NVIDIA GPUs each slice should be padded to the boundary of 16 elements for best performance. The optimal memory alignment in device memory is 128 bytes, 64 bytes, 32 bytes for double precision, single precision and half precision. */ #if defined(PETSC_HAVE_DEVICE) #define DEVICE_MEM_ALIGN 16 #endif /* Struct header for SeqSELL matrix format */ #define SEQSELLHEADER(datatype) \ PetscBool roworiented; /* if true, row-oriented input, default */ \ PetscInt nonew; /* 1 don't add new nonzeros, -1 generate error on new */ \ PetscInt nounused; /* -1 generate error on unused space */ \ PetscBool singlemalloc; /* if true a, i, and j have been obtained with one big malloc */ \ PetscInt maxallocmat; /* max allocated space for the matrix */ \ PetscInt maxallocrow; /* max allocated space for each row */ \ PetscInt nz; /* actual nonzeros */ \ PetscInt rlenmax; /* max actual row length, rmax cannot exceed maxallocrow */ \ PetscInt *rlen; /* actual length of each row (padding zeros excluded) */ \ PetscBool free_rlen; /* free rlen array ? */ \ PetscInt reallocs; /* number of mallocs done during MatSetValues() \ as more values are set than were prealloced */ \ PetscBool keepnonzeropattern; /* keeps matrix nonzero structure the same in calls to MatZeroRows()*/ \ PetscBool ignorezeroentries; \ PetscBool free_colidx; /* free the column indices colidx when the matrix is destroyed */ \ PetscBool free_val; /* free the numerical values when matrix is destroy */ \ PetscInt *colidx; /* column index */ \ PetscInt *diag; /* pointers to diagonal elements */ \ PetscObjectState diagNonzeroState; /* nonzero state of the matrix when diag was obtained */ \ PetscBool diagDense; /* matrix contains all the diagonal entries */ \ PetscInt nonzerorowcnt; /* how many rows have nonzero entries */ \ datatype *val; /* elements including nonzeros and padding zeros */ \ PetscScalar *solve_work; /* work space used in MatSolve */ \ IS row, col, icol; /* index sets, used for reorderings */ \ PetscBool pivotinblocks; /* pivot inside factorization of each diagonal block */ \ Mat parent; /* set if this matrix was formed with MatDuplicate(...,MAT_SHARE_NONZERO_PATTERN,....); means that this shares some data structures with the parent including diag, ilen, imax, i, j */ \ PetscInt *sliidx; /* slice index */ \ PetscInt totalslices; /* total number of slices */ \ PetscInt sliceheight; /* slice height */ \ PetscReal fillratio; /* ratio of number of padded zeros over total number of elements */ \ PetscReal avgslicewidth; /* average slice width */ \ PetscInt maxslicewidth; /* maximum slice width */ \ PetscReal varslicesize; /* variance of slice size */ \ PetscInt *sliperm; /* slice permutation array, CUDA only */ \ PetscInt totalblocks; /* total number of blocks, CUDA only */ \ PetscInt *blockidx; /* block index, CUDA only */ \ PetscInt *block_row_map; /* starting row of the current block, CUDA only */ \ PetscInt chunksize; /* chunk size, CUDA only */ \ PetscInt totalchunks; /* total number of chunks, CUDA only */ \ PetscInt *chunk_slice_map; /* starting slice of the current chunk, CUDA only */ \ PetscInt *getrowcols; /* workarray for MatGetRow_SeqSELL */ \ PetscScalar *getrowvals /* workarray for MatGetRow_SeqSELL */ typedef struct { SEQSELLHEADER(MatScalar); MatScalar *saved_values; /* location for stashing nonzero values of matrix */ /* data needed for MatSOR_SeqAIJ() */ PetscScalar *mdiag, *idiag; /* diagonal values, inverse of diagonal entries */ PetscScalar *ssor_work; /* workspace for Eisenstat trick */ PetscObjectState idiagState; /* state of the matrix when mdiag and idiag was obtained */ PetscScalar fshift, omega; /* last used omega and fshift */ ISColoring coloring; /* set with MatADSetColoring() used by MatADSetValues() */ } Mat_SeqSELL; /* Frees the arrays from the XSELLPACK matrix type */ static inline PetscErrorCode MatSeqXSELLFreeSELL(Mat AA, MatScalar **val, PetscInt **colidx) { Mat_SeqSELL *A = (Mat_SeqSELL *)AA->data; if (A->singlemalloc) { PetscCall(PetscFree2(*val, *colidx)); } else { if (A->free_val) PetscCall(PetscFree(*val)); if (A->free_colidx) PetscCall(PetscFree(*colidx)); } return PETSC_SUCCESS; } #define MatSeqXSELLReallocateSELL(Amat, AM, BS2, WIDTH, SIDX, SH, SID, ROW, COL, COLIDX, VAL, CP, VP, NONEW, datatype, MUL) \ do { \ if (WIDTH >= (SIDX[SID + 1] - SIDX[SID]) / SH) { \ Mat_SeqSELL *Ain = (Mat_SeqSELL *)Amat->data; \ /* there is no extra room in row, therefore enlarge 1 slice column */ \ PetscInt new_size = Ain->maxallocmat + SH * MUL, *new_colidx; \ datatype *new_val; \ \ PetscCheck(NONEW != -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "New nonzero at (%" PetscInt_FMT ",%" PetscInt_FMT ") caused a malloc. Use MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE) to turn off this check", ROW, COL); \ /* malloc new storage space */ \ PetscCall(PetscMalloc2(BS2 * new_size, &new_val, BS2 * new_size, &new_colidx)); \ \ /* copy over old data into new slots by two steps: one step for data before the current slice and the other for the rest */ \ PetscCall(PetscArraycpy(new_val, VAL, SIDX[SID + 1])); \ PetscCall(PetscArraycpy(new_colidx, COLIDX, SIDX[SID + 1])); \ PetscCall(PetscArraycpy(new_val + SIDX[SID + 1] + SH * MUL, VAL + SIDX[SID + 1], SIDX[Ain->totalslices] - SIDX[SID + 1])); \ PetscCall(PetscArraycpy(new_colidx + SIDX[SID + 1] + SH * MUL, COLIDX + SIDX[SID + 1], SIDX[Ain->totalslices] - SIDX[SID + 1])); \ /* update slice_idx */ \ for (ii = SID + 1; ii <= Ain->totalslices; ii++) SIDX[ii] += SH * MUL; \ /* update pointers. Notice that they point to the FIRST position of the row */ \ CP = new_colidx + SIDX[SID] + (ROW % SH); \ VP = new_val + SIDX[SID] + (ROW % SH); \ /* free up old matrix storage */ \ PetscCall(MatSeqXSELLFreeSELL(A, &Ain->val, &Ain->colidx)); \ Ain->val = new_val; \ Ain->colidx = new_colidx; \ Ain->singlemalloc = PETSC_TRUE; \ Ain->maxallocmat = new_size; \ Ain->reallocs++; \ A->nonzerostate++; \ if (WIDTH >= Ain->maxallocrow) Ain->maxallocrow += MUL; \ if (WIDTH >= Ain->rlenmax) Ain->rlenmax++; \ } \ } while (0) #define MatSetValue_SeqSELL_Private(A, row, col, value, addv, orow, ocol, cp, vp, lastcol, low, high) \ do { \ Mat_SeqSELL *a = (Mat_SeqSELL *)A->data; \ found = PETSC_FALSE; \ if (col <= lastcol) low = 0; \ else high = a->rlen[row]; \ lastcol = col; \ while (high - low > 5) { \ t = (low + high) / 2; \ if (*(cp + a->sliceheight * t) > col) high = t; \ else low = t; \ } \ for (_i = low; _i < high; _i++) { \ if (*(cp + a->sliceheight * _i) > col) break; \ if (*(cp + a->sliceheight * _i) == col) { \ if (addv == ADD_VALUES) *(vp + a->sliceheight * _i) += value; \ else *(vp + a->sliceheight * _i) = value; \ found = PETSC_TRUE; \ break; \ } \ } \ if (!found) { \ PetscCheck(a->nonew != -1, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Inserting a new nonzero at global row/column (%" PetscInt_FMT ", %" PetscInt_FMT ") into matrix", orow, ocol); \ if (a->nonew != 1 && !(value == 0.0 && a->ignorezeroentries) && a->rlen[row] >= (a->sliidx[row / a->sliceheight + 1] - a->sliidx[row / a->sliceheight]) / a->sliceheight) { \ /* there is no extra room in row, therefore enlarge 1 slice column */ \ if (a->maxallocmat < a->sliidx[a->totalslices] + a->sliceheight) { \ /* allocates a larger array for the XSELL matrix types; only extend the current slice by one more column. */ \ PetscInt new_size = a->maxallocmat + a->sliceheight, *new_colidx; \ MatScalar *new_val; \ PetscCheck(a->nonew != -2, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "New nonzero at (%" PetscInt_FMT ",%" PetscInt_FMT ") caused a malloc. Use MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE) to turn off this check", orow, ocol); \ /* malloc new storage space */ \ PetscCall(PetscMalloc2(new_size, &new_val, new_size, &new_colidx)); \ /* copy over old data into new slots by two steps: one step for data before the current slice and the other for the rest */ \ PetscCall(PetscArraycpy(new_val, a->val, a->sliidx[row / a->sliceheight + 1])); \ PetscCall(PetscArraycpy(new_colidx, a->colidx, a->sliidx[row / a->sliceheight + 1])); \ PetscCall(PetscArraycpy(new_val + a->sliidx[row / a->sliceheight + 1] + a->sliceheight, PetscSafePointerPlusOffset(a->val, a->sliidx[row / a->sliceheight + 1]), a->sliidx[a->totalslices] - a->sliidx[row / a->sliceheight + 1])); \ PetscCall(PetscArraycpy(new_colidx + a->sliidx[row / a->sliceheight + 1] + a->sliceheight, PetscSafePointerPlusOffset(a->colidx, a->sliidx[row / a->sliceheight + 1]), a->sliidx[a->totalslices] - a->sliidx[row / a->sliceheight + 1])); \ /* update pointers. Notice that they point to the FIRST position of the row */ \ cp = new_colidx + a->sliidx[row / a->sliceheight] + (row % a->sliceheight); \ vp = new_val + a->sliidx[row / a->sliceheight] + (row % a->sliceheight); \ /* free up old matrix storage */ \ PetscCall(MatSeqXSELLFreeSELL(A, &a->val, &a->colidx)); \ a->val = new_val; \ a->colidx = new_colidx; \ a->singlemalloc = PETSC_TRUE; \ a->maxallocmat = new_size; \ a->reallocs++; \ } else { \ /* no need to reallocate, just shift the following slices to create space for the added slice column */ \ PetscCall(PetscArraymove(a->val + a->sliidx[row / a->sliceheight + 1] + a->sliceheight, a->val + a->sliidx[row / a->sliceheight + 1], a->sliidx[a->totalslices] - a->sliidx[row / a->sliceheight + 1])); \ PetscCall(PetscArraymove(a->colidx + a->sliidx[row / a->sliceheight + 1] + a->sliceheight, a->colidx + a->sliidx[row / a->sliceheight + 1], a->sliidx[a->totalslices] - a->sliidx[row / a->sliceheight + 1])); \ } \ /* update slice_idx */ \ for (ii = row / a->sliceheight + 1; ii <= a->totalslices; ii++) a->sliidx[ii] += a->sliceheight; \ if (a->rlen[row] >= a->maxallocrow) a->maxallocrow++; \ if (a->rlen[row] >= a->rlenmax) a->rlenmax++; \ } \ /* shift up all the later entries in this row */ \ for (ii = a->rlen[row] - 1; ii >= _i; ii--) { \ *(cp + a->sliceheight * (ii + 1)) = *(cp + a->sliceheight * ii); \ *(vp + a->sliceheight * (ii + 1)) = *(vp + a->sliceheight * ii); \ } \ *(cp + a->sliceheight * _i) = col; \ *(vp + a->sliceheight * _i) = value; \ a->nz++; \ a->rlen[row]++; \ A->nonzerostate++; \ low = _i + 1; \ high++; \ } \ } while (0) #define PetscCeilIntMacro(x, y) ((((PetscInt)(x)) / ((PetscInt)(y))) + ((((PetscInt)(x)) % ((PetscInt)(y))) ? 1 : 0)) PETSC_INTERN PetscErrorCode MatSeqSELLSetPreallocation_SeqSELL(Mat, PetscInt, const PetscInt[]); PETSC_INTERN PetscErrorCode MatMult_SeqSELL(Mat, Vec, Vec); PETSC_INTERN PetscErrorCode MatMultAdd_SeqSELL(Mat, Vec, Vec, Vec); PETSC_INTERN PetscErrorCode MatMultTranspose_SeqSELL(Mat, Vec, Vec); PETSC_INTERN PetscErrorCode MatMultTransposeAdd_SeqSELL(Mat, Vec, Vec, Vec); PETSC_INTERN PetscErrorCode MatZeroEntries_SeqSELL(Mat); PETSC_INTERN PetscErrorCode MatDestroy_SeqSELL(Mat); PETSC_INTERN PetscErrorCode MatSetOption_SeqSELL(Mat, MatOption, PetscBool); PETSC_INTERN PetscErrorCode MatGetDiagonal_SeqSELL(Mat, Vec v); PETSC_INTERN PetscErrorCode MatGetValues_SeqSELL(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]); PETSC_INTERN PetscErrorCode MatView_SeqSELL(Mat, PetscViewer); PETSC_INTERN PetscErrorCode MatAssemblyEnd_SeqSELL(Mat, MatAssemblyType); PETSC_INTERN PetscErrorCode MatGetInfo_SeqSELL(Mat, MatInfoType, MatInfo *); PETSC_INTERN PetscErrorCode MatSetValues_SeqSELL(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode); PETSC_INTERN PetscErrorCode MatCopy_SeqSELL(Mat, Mat, MatStructure); PETSC_INTERN PetscErrorCode MatSetUp_SeqSELL(Mat); PETSC_INTERN PetscErrorCode MatSeqSELLGetArray_SeqSELL(Mat, PetscScalar *[]); PETSC_INTERN PetscErrorCode MatSeqSELLRestoreArray_SeqSELL(Mat, PetscScalar *[]); PETSC_INTERN PetscErrorCode MatShift_SeqSELL(Mat, PetscScalar); PETSC_INTERN PetscErrorCode MatSOR_SeqSELL(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec); PETSC_EXTERN PetscErrorCode MatCreate_SeqSELL(Mat); PETSC_INTERN PetscErrorCode MatDuplicate_SeqSELL(Mat, MatDuplicateOption, Mat *); PETSC_INTERN PetscErrorCode MatEqual_SeqSELL(Mat, Mat, PetscBool *); PETSC_INTERN PetscErrorCode MatConvert_SeqSELL_SeqAIJ(Mat, MatType, MatReuse, Mat *); PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSELL(Mat, MatType, MatReuse, Mat *); PETSC_INTERN PetscErrorCode MatFDColoringCreate_SeqSELL(Mat, ISColoring, MatFDColoring); PETSC_INTERN PetscErrorCode MatFDColoringSetUp_SeqSELL(Mat, ISColoring, MatFDColoring); PETSC_INTERN PetscErrorCode MatGetColumnIJ_SeqSELL_Color(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscInt *[], PetscBool *); PETSC_INTERN PetscErrorCode MatRestoreColumnIJ_SeqSELL_Color(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscInt *[], PetscBool *); PETSC_INTERN PetscErrorCode MatConjugate_SeqSELL(Mat A); PETSC_INTERN PetscErrorCode MatScale_SeqSELL(Mat, PetscScalar); PETSC_INTERN PetscErrorCode MatDiagonalScale_SeqSELL(Mat, Vec, Vec);