#include <../src/mat/impls/baij/seq/baij.h> #include PetscErrorCode MatSolveTranspose_SeqBAIJ_7_inplace(Mat A, Vec bb, Vec xx) { Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data; IS iscol = a->col, isrow = a->row; const PetscInt *r, *c, *rout, *cout; const PetscInt *diag = a->diag, n = a->mbs, *vi, *ai = a->i, *aj = a->j; PetscInt i, nz, idx, idt, ii, ic, ir, oidx; const MatScalar *aa = a->a, *v; PetscScalar s1, s2, s3, s4, s5, s6, s7, x1, x2, x3, x4, x5, x6, x7, *x, *t; const PetscScalar *b; PetscFunctionBegin; PetscCall(VecGetArrayRead(bb, &b)); PetscCall(VecGetArray(xx, &x)); t = a->solve_work; PetscCall(ISGetIndices(isrow, &rout)); r = rout; PetscCall(ISGetIndices(iscol, &cout)); c = cout; /* copy the b into temp work space according to permutation */ ii = 0; for (i = 0; i < n; i++) { ic = 7 * c[i]; t[ii] = b[ic]; t[ii + 1] = b[ic + 1]; t[ii + 2] = b[ic + 2]; t[ii + 3] = b[ic + 3]; t[ii + 4] = b[ic + 4]; t[ii + 5] = b[ic + 5]; t[ii + 6] = b[ic + 6]; ii += 7; } /* forward solve the U^T */ idx = 0; for (i = 0; i < n; i++) { v = aa + 49 * diag[i]; /* multiply by the inverse of the block diagonal */ x1 = t[idx]; x2 = t[1 + idx]; x3 = t[2 + idx]; x4 = t[3 + idx]; x5 = t[4 + idx]; x6 = t[5 + idx]; x7 = t[6 + idx]; s1 = v[0] * x1 + v[1] * x2 + v[2] * x3 + v[3] * x4 + v[4] * x5 + v[5] * x6 + v[6] * x7; s2 = v[7] * x1 + v[8] * x2 + v[9] * x3 + v[10] * x4 + v[11] * x5 + v[12] * x6 + v[13] * x7; s3 = v[14] * x1 + v[15] * x2 + v[16] * x3 + v[17] * x4 + v[18] * x5 + v[19] * x6 + v[20] * x7; s4 = v[21] * x1 + v[22] * x2 + v[23] * x3 + v[24] * x4 + v[25] * x5 + v[26] * x6 + v[27] * x7; s5 = v[28] * x1 + v[29] * x2 + v[30] * x3 + v[31] * x4 + v[32] * x5 + v[33] * x6 + v[34] * x7; s6 = v[35] * x1 + v[36] * x2 + v[37] * x3 + v[38] * x4 + v[39] * x5 + v[40] * x6 + v[41] * x7; s7 = v[42] * x1 + v[43] * x2 + v[44] * x3 + v[45] * x4 + v[46] * x5 + v[47] * x6 + v[48] * x7; v += 49; vi = aj + diag[i] + 1; nz = ai[i + 1] - diag[i] - 1; while (nz--) { oidx = 7 * (*vi++); t[oidx] -= v[0] * s1 + v[1] * s2 + v[2] * s3 + v[3] * s4 + v[4] * s5 + v[5] * s6 + v[6] * s7; t[oidx + 1] -= v[7] * s1 + v[8] * s2 + v[9] * s3 + v[10] * s4 + v[11] * s5 + v[12] * s6 + v[13] * s7; t[oidx + 2] -= v[14] * s1 + v[15] * s2 + v[16] * s3 + v[17] * s4 + v[18] * s5 + v[19] * s6 + v[20] * s7; t[oidx + 3] -= v[21] * s1 + v[22] * s2 + v[23] * s3 + v[24] * s4 + v[25] * s5 + v[26] * s6 + v[27] * s7; t[oidx + 4] -= v[28] * s1 + v[29] * s2 + v[30] * s3 + v[31] * s4 + v[32] * s5 + v[33] * s6 + v[34] * s7; t[oidx + 5] -= v[35] * s1 + v[36] * s2 + v[37] * s3 + v[38] * s4 + v[39] * s5 + v[40] * s6 + v[41] * s7; t[oidx + 6] -= v[42] * s1 + v[43] * s2 + v[44] * s3 + v[45] * s4 + v[46] * s5 + v[47] * s6 + v[48] * s7; v += 49; } t[idx] = s1; t[1 + idx] = s2; t[2 + idx] = s3; t[3 + idx] = s4; t[4 + idx] = s5; t[5 + idx] = s6; t[6 + idx] = s7; idx += 7; } /* backward solve the L^T */ for (i = n - 1; i >= 0; i--) { v = aa + 49 * diag[i] - 49; vi = aj + diag[i] - 1; nz = diag[i] - ai[i]; idt = 7 * i; s1 = t[idt]; s2 = t[1 + idt]; s3 = t[2 + idt]; s4 = t[3 + idt]; s5 = t[4 + idt]; s6 = t[5 + idt]; s7 = t[6 + idt]; while (nz--) { idx = 7 * (*vi--); t[idx] -= v[0] * s1 + v[1] * s2 + v[2] * s3 + v[3] * s4 + v[4] * s5 + v[5] * s6 + v[6] * s7; t[idx + 1] -= v[7] * s1 + v[8] * s2 + v[9] * s3 + v[10] * s4 + v[11] * s5 + v[12] * s6 + v[13] * s7; t[idx + 2] -= v[14] * s1 + v[15] * s2 + v[16] * s3 + v[17] * s4 + v[18] * s5 + v[19] * s6 + v[20] * s7; t[idx + 3] -= v[21] * s1 + v[22] * s2 + v[23] * s3 + v[24] * s4 + v[25] * s5 + v[26] * s6 + v[27] * s7; t[idx + 4] -= v[28] * s1 + v[29] * s2 + v[30] * s3 + v[31] * s4 + v[32] * s5 + v[33] * s6 + v[34] * s7; t[idx + 5] -= v[35] * s1 + v[36] * s2 + v[37] * s3 + v[38] * s4 + v[39] * s5 + v[40] * s6 + v[41] * s7; t[idx + 6] -= v[42] * s1 + v[43] * s2 + v[44] * s3 + v[45] * s4 + v[46] * s5 + v[47] * s6 + v[48] * s7; v -= 49; } } /* copy t into x according to permutation */ ii = 0; for (i = 0; i < n; i++) { ir = 7 * r[i]; x[ir] = t[ii]; x[ir + 1] = t[ii + 1]; x[ir + 2] = t[ii + 2]; x[ir + 3] = t[ii + 3]; x[ir + 4] = t[ii + 4]; x[ir + 5] = t[ii + 5]; x[ir + 6] = t[ii + 6]; ii += 7; } PetscCall(ISRestoreIndices(isrow, &rout)); PetscCall(ISRestoreIndices(iscol, &cout)); PetscCall(VecRestoreArrayRead(bb, &b)); PetscCall(VecRestoreArray(xx, &x)); PetscCall(PetscLogFlops(2.0 * 49 * (a->nz) - 7.0 * A->cmap->n)); PetscFunctionReturn(PETSC_SUCCESS); } PetscErrorCode MatSolveTranspose_SeqBAIJ_7(Mat A, Vec bb, Vec xx) { Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data; IS iscol = a->col, isrow = a->row; const PetscInt n = a->mbs, *vi, *ai = a->i, *aj = a->j, *diag = a->diag; const PetscInt *r, *c, *rout, *cout; PetscInt nz, idx, idt, j, i, oidx, ii, ic, ir; const PetscInt bs = A->rmap->bs, bs2 = a->bs2; const MatScalar *aa = a->a, *v; PetscScalar s1, s2, s3, s4, s5, s6, s7, x1, x2, x3, x4, x5, x6, x7, *x, *t; const PetscScalar *b; PetscFunctionBegin; PetscCall(VecGetArrayRead(bb, &b)); PetscCall(VecGetArray(xx, &x)); t = a->solve_work; PetscCall(ISGetIndices(isrow, &rout)); r = rout; PetscCall(ISGetIndices(iscol, &cout)); c = cout; /* copy b into temp work space according to permutation */ for (i = 0; i < n; i++) { ii = bs * i; ic = bs * c[i]; t[ii] = b[ic]; t[ii + 1] = b[ic + 1]; t[ii + 2] = b[ic + 2]; t[ii + 3] = b[ic + 3]; t[ii + 4] = b[ic + 4]; t[ii + 5] = b[ic + 5]; t[ii + 6] = b[ic + 6]; } /* forward solve the U^T */ idx = 0; for (i = 0; i < n; i++) { v = aa + bs2 * diag[i]; /* multiply by the inverse of the block diagonal */ x1 = t[idx]; x2 = t[1 + idx]; x3 = t[2 + idx]; x4 = t[3 + idx]; x5 = t[4 + idx]; x6 = t[5 + idx]; x7 = t[6 + idx]; s1 = v[0] * x1 + v[1] * x2 + v[2] * x3 + v[3] * x4 + v[4] * x5 + v[5] * x6 + v[6] * x7; s2 = v[7] * x1 + v[8] * x2 + v[9] * x3 + v[10] * x4 + v[11] * x5 + v[12] * x6 + v[13] * x7; s3 = v[14] * x1 + v[15] * x2 + v[16] * x3 + v[17] * x4 + v[18] * x5 + v[19] * x6 + v[20] * x7; s4 = v[21] * x1 + v[22] * x2 + v[23] * x3 + v[24] * x4 + v[25] * x5 + v[26] * x6 + v[27] * x7; s5 = v[28] * x1 + v[29] * x2 + v[30] * x3 + v[31] * x4 + v[32] * x5 + v[33] * x6 + v[34] * x7; s6 = v[35] * x1 + v[36] * x2 + v[37] * x3 + v[38] * x4 + v[39] * x5 + v[40] * x6 + v[41] * x7; s7 = v[42] * x1 + v[43] * x2 + v[44] * x3 + v[45] * x4 + v[46] * x5 + v[47] * x6 + v[48] * x7; v -= bs2; vi = aj + diag[i] - 1; nz = diag[i] - diag[i + 1] - 1; for (j = 0; j > -nz; j--) { oidx = bs * vi[j]; t[oidx] -= v[0] * s1 + v[1] * s2 + v[2] * s3 + v[3] * s4 + v[4] * s5 + v[5] * s6 + v[6] * s7; t[oidx + 1] -= v[7] * s1 + v[8] * s2 + v[9] * s3 + v[10] * s4 + v[11] * s5 + v[12] * s6 + v[13] * s7; t[oidx + 2] -= v[14] * s1 + v[15] * s2 + v[16] * s3 + v[17] * s4 + v[18] * s5 + v[19] * s6 + v[20] * s7; t[oidx + 3] -= v[21] * s1 + v[22] * s2 + v[23] * s3 + v[24] * s4 + v[25] * s5 + v[26] * s6 + v[27] * s7; t[oidx + 4] -= v[28] * s1 + v[29] * s2 + v[30] * s3 + v[31] * s4 + v[32] * s5 + v[33] * s6 + v[34] * s7; t[oidx + 5] -= v[35] * s1 + v[36] * s2 + v[37] * s3 + v[38] * s4 + v[39] * s5 + v[40] * s6 + v[41] * s7; t[oidx + 6] -= v[42] * s1 + v[43] * s2 + v[44] * s3 + v[45] * s4 + v[46] * s5 + v[47] * s6 + v[48] * s7; v -= bs2; } t[idx] = s1; t[1 + idx] = s2; t[2 + idx] = s3; t[3 + idx] = s4; t[4 + idx] = s5; t[5 + idx] = s6; t[6 + idx] = s7; idx += bs; } /* backward solve the L^T */ for (i = n - 1; i >= 0; i--) { v = aa + bs2 * ai[i]; vi = aj + ai[i]; nz = ai[i + 1] - ai[i]; idt = bs * i; s1 = t[idt]; s2 = t[1 + idt]; s3 = t[2 + idt]; s4 = t[3 + idt]; s5 = t[4 + idt]; s6 = t[5 + idt]; s7 = t[6 + idt]; for (j = 0; j < nz; j++) { idx = bs * vi[j]; t[idx] -= v[0] * s1 + v[1] * s2 + v[2] * s3 + v[3] * s4 + v[4] * s5 + v[5] * s6 + v[6] * s7; t[idx + 1] -= v[7] * s1 + v[8] * s2 + v[9] * s3 + v[10] * s4 + v[11] * s5 + v[12] * s6 + v[13] * s7; t[idx + 2] -= v[14] * s1 + v[15] * s2 + v[16] * s3 + v[17] * s4 + v[18] * s5 + v[19] * s6 + v[20] * s7; t[idx + 3] -= v[21] * s1 + v[22] * s2 + v[23] * s3 + v[24] * s4 + v[25] * s5 + v[26] * s6 + v[27] * s7; t[idx + 4] -= v[28] * s1 + v[29] * s2 + v[30] * s3 + v[31] * s4 + v[32] * s5 + v[33] * s6 + v[34] * s7; t[idx + 5] -= v[35] * s1 + v[36] * s2 + v[37] * s3 + v[38] * s4 + v[39] * s5 + v[40] * s6 + v[41] * s7; t[idx + 6] -= v[42] * s1 + v[43] * s2 + v[44] * s3 + v[45] * s4 + v[46] * s5 + v[47] * s6 + v[48] * s7; v += bs2; } } /* copy t into x according to permutation */ for (i = 0; i < n; i++) { ii = bs * i; ir = bs * r[i]; x[ir] = t[ii]; x[ir + 1] = t[ii + 1]; x[ir + 2] = t[ii + 2]; x[ir + 3] = t[ii + 3]; x[ir + 4] = t[ii + 4]; x[ir + 5] = t[ii + 5]; x[ir + 6] = t[ii + 6]; } PetscCall(ISRestoreIndices(isrow, &rout)); PetscCall(ISRestoreIndices(iscol, &cout)); PetscCall(VecRestoreArrayRead(bb, &b)); PetscCall(VecRestoreArray(xx, &x)); PetscCall(PetscLogFlops(2.0 * bs2 * (a->nz) - bs * A->cmap->n)); PetscFunctionReturn(PETSC_SUCCESS); }