1 #include <../src/mat/impls/baij/seq/baij.h> 2 #include <petsc/private/kernels/blockinvert.h> 3 4 /* ----------------------------------------------------------- */ 5 PetscErrorCode MatSolveTranspose_SeqBAIJ_N_inplace(Mat A, Vec bb, Vec xx) 6 { 7 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data; 8 IS iscol = a->col, isrow = a->row; 9 const PetscInt *r, *c, *rout, *cout, *ai = a->i, *aj = a->j, *vi; 10 PetscInt i, nz, j; 11 const PetscInt n = a->mbs, bs = A->rmap->bs, bs2 = a->bs2; 12 const MatScalar *aa = a->a, *v; 13 PetscScalar *x, *t, *ls; 14 const PetscScalar *b; 15 16 PetscFunctionBegin; 17 PetscCall(VecGetArrayRead(bb, &b)); 18 PetscCall(VecGetArray(xx, &x)); 19 t = a->solve_work; 20 21 PetscCall(ISGetIndices(isrow, &rout)); 22 r = rout; 23 PetscCall(ISGetIndices(iscol, &cout)); 24 c = cout; 25 26 /* copy the b into temp work space according to permutation */ 27 for (i = 0; i < n; i++) { 28 for (j = 0; j < bs; j++) t[i * bs + j] = b[c[i] * bs + j]; 29 } 30 31 /* forward solve the upper triangular transpose */ 32 ls = a->solve_work + A->cmap->n; 33 for (i = 0; i < n; i++) { 34 PetscCall(PetscArraycpy(ls, t + i * bs, bs)); 35 PetscKernel_w_gets_transA_times_v(bs, ls, aa + bs2 * a->diag[i], t + i * bs); 36 v = aa + bs2 * (a->diag[i] + 1); 37 vi = aj + a->diag[i] + 1; 38 nz = ai[i + 1] - a->diag[i] - 1; 39 while (nz--) { 40 PetscKernel_v_gets_v_minus_transA_times_w(bs, t + bs * (*vi++), v, t + i * bs); 41 v += bs2; 42 } 43 } 44 45 /* backward solve the lower triangular transpose */ 46 for (i = n - 1; i >= 0; i--) { 47 v = aa + bs2 * ai[i]; 48 vi = aj + ai[i]; 49 nz = a->diag[i] - ai[i]; 50 while (nz--) { 51 PetscKernel_v_gets_v_minus_transA_times_w(bs, t + bs * (*vi++), v, t + i * bs); 52 v += bs2; 53 } 54 } 55 56 /* copy t into x according to permutation */ 57 for (i = 0; i < n; i++) { 58 for (j = 0; j < bs; j++) x[bs * r[i] + j] = t[bs * i + j]; 59 } 60 61 PetscCall(ISRestoreIndices(isrow, &rout)); 62 PetscCall(ISRestoreIndices(iscol, &cout)); 63 PetscCall(VecRestoreArrayRead(bb, &b)); 64 PetscCall(VecRestoreArray(xx, &x)); 65 PetscCall(PetscLogFlops(2.0 * (a->bs2) * (a->nz) - A->rmap->bs * A->cmap->n)); 66 PetscFunctionReturn(0); 67 } 68 69 PetscErrorCode MatSolveTranspose_SeqBAIJ_N(Mat A, Vec bb, Vec xx) 70 { 71 Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data; 72 IS iscol = a->col, isrow = a->row; 73 const PetscInt *r, *c, *rout, *cout; 74 const PetscInt n = a->mbs, *ai = a->i, *aj = a->j, *vi, *diag = a->diag; 75 PetscInt i, j, nz; 76 const PetscInt bs = A->rmap->bs, bs2 = a->bs2; 77 const MatScalar *aa = a->a, *v; 78 PetscScalar *x, *t, *ls; 79 const PetscScalar *b; 80 81 PetscFunctionBegin; 82 PetscCall(VecGetArrayRead(bb, &b)); 83 PetscCall(VecGetArray(xx, &x)); 84 t = a->solve_work; 85 86 PetscCall(ISGetIndices(isrow, &rout)); 87 r = rout; 88 PetscCall(ISGetIndices(iscol, &cout)); 89 c = cout; 90 91 /* copy the b into temp work space according to permutation */ 92 for (i = 0; i < n; i++) { 93 for (j = 0; j < bs; j++) t[i * bs + j] = b[c[i] * bs + j]; 94 } 95 96 /* forward solve the upper triangular transpose */ 97 ls = a->solve_work + A->cmap->n; 98 for (i = 0; i < n; i++) { 99 PetscCall(PetscArraycpy(ls, t + i * bs, bs)); 100 PetscKernel_w_gets_transA_times_v(bs, ls, aa + bs2 * diag[i], t + i * bs); 101 v = aa + bs2 * (diag[i] - 1); 102 vi = aj + diag[i] - 1; 103 nz = diag[i] - diag[i + 1] - 1; 104 for (j = 0; j > -nz; j--) { 105 PetscKernel_v_gets_v_minus_transA_times_w(bs, t + bs * (vi[j]), v, t + i * bs); 106 v -= bs2; 107 } 108 } 109 110 /* backward solve the lower triangular transpose */ 111 for (i = n - 1; i >= 0; i--) { 112 v = aa + bs2 * ai[i]; 113 vi = aj + ai[i]; 114 nz = ai[i + 1] - ai[i]; 115 for (j = 0; j < nz; j++) { 116 PetscKernel_v_gets_v_minus_transA_times_w(bs, t + bs * (vi[j]), v, t + i * bs); 117 v += bs2; 118 } 119 } 120 121 /* copy t into x according to permutation */ 122 for (i = 0; i < n; i++) { 123 for (j = 0; j < bs; j++) x[bs * r[i] + j] = t[bs * i + j]; 124 } 125 126 PetscCall(ISRestoreIndices(isrow, &rout)); 127 PetscCall(ISRestoreIndices(iscol, &cout)); 128 PetscCall(VecRestoreArrayRead(bb, &b)); 129 PetscCall(VecRestoreArray(xx, &x)); 130 PetscCall(PetscLogFlops(2.0 * (a->bs2) * (a->nz) - A->rmap->bs * A->cmap->n)); 131 PetscFunctionReturn(0); 132 } 133