1a0154adeSJed Brown // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2a0154adeSJed Brown // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3a0154adeSJed Brown // 4a0154adeSJed Brown // SPDX-License-Identifier: BSD-2-Clause 5a0154adeSJed Brown // 6a0154adeSJed Brown // This file is part of CEED: http://github.com/ceed 7a0154adeSJed Brown 8c9c2c079SJeremy L Thompson #include <ceed.h> 9c9c2c079SJeremy L Thompson 10a0154adeSJed Brown //------------------------------------------------------------------------------ 11a0154adeSJed Brown // Tensor Basis Kernels 12a0154adeSJed Brown //------------------------------------------------------------------------------ 13a0154adeSJed Brown 14a0154adeSJed Brown //------------------------------------------------------------------------------ 15a0154adeSJed Brown // Interp 16a0154adeSJed Brown //------------------------------------------------------------------------------ 172b730f8bSJeremy L Thompson extern "C" __global__ void Interp(const CeedInt num_elem, const CeedInt transpose, const CeedScalar *__restrict__ interp_1d, 182b730f8bSJeremy L Thompson const CeedScalar *__restrict__ u, CeedScalar *__restrict__ v) { 19a0154adeSJed Brown const CeedInt i = threadIdx.x; 20a0154adeSJed Brown 21a0154adeSJed Brown __shared__ CeedScalar s_mem[BASIS_Q_1D * BASIS_P_1D + 2 * BASIS_BUF_LEN]; 22a0154adeSJed Brown CeedScalar *s_interp_1d = s_mem; 23a0154adeSJed Brown CeedScalar *s_buffer_1 = s_mem + BASIS_Q_1D * BASIS_P_1D; 24a0154adeSJed Brown CeedScalar *s_buffer_2 = s_buffer_1 + BASIS_BUF_LEN; 25a0154adeSJed Brown for (CeedInt k = i; k < BASIS_Q_1D * BASIS_P_1D; k += blockDim.x) { 26a0154adeSJed Brown s_interp_1d[k] = interp_1d[k]; 27a0154adeSJed Brown } 28a0154adeSJed Brown 29a0154adeSJed Brown const CeedInt P = transpose ? BASIS_Q_1D : BASIS_P_1D; 30a0154adeSJed Brown const CeedInt Q = transpose ? BASIS_P_1D : BASIS_Q_1D; 31*2a86cc9dSSebastian Grimberg const CeedInt stride_0 = transpose ? 1 : BASIS_P_1D; 32*2a86cc9dSSebastian Grimberg const CeedInt stride_1 = transpose ? BASIS_P_1D : 1; 33a0154adeSJed Brown const CeedInt u_stride = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 34a0154adeSJed Brown const CeedInt v_stride = transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS; 35a0154adeSJed Brown const CeedInt u_comp_stride = num_elem * (transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES); 36a0154adeSJed Brown const CeedInt v_comp_stride = num_elem * (transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS); 37a0154adeSJed Brown const CeedInt u_size = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 38a0154adeSJed Brown 39a0154adeSJed Brown // Apply basis element by element 40a0154adeSJed Brown for (CeedInt elem = blockIdx.x; elem < num_elem; elem += gridDim.x) { 41a0154adeSJed Brown for (CeedInt comp = 0; comp < BASIS_NUM_COMP; comp++) { 42a0154adeSJed Brown const CeedScalar *cur_u = u + elem * u_stride + comp * u_comp_stride; 43a0154adeSJed Brown CeedScalar *cur_v = v + elem * v_stride + comp * v_comp_stride; 44a0154adeSJed Brown for (CeedInt k = i; k < u_size; k += blockDim.x) { 45a0154adeSJed Brown s_buffer_1[k] = cur_u[k]; 46a0154adeSJed Brown } 47a0154adeSJed Brown CeedInt pre = u_size; 48a0154adeSJed Brown CeedInt post = 1; 49a0154adeSJed Brown for (CeedInt d = 0; d < BASIS_DIM; d++) { 50a0154adeSJed Brown __syncthreads(); 51a0154adeSJed Brown // Update buffers used 52a0154adeSJed Brown pre /= P; 53a0154adeSJed Brown const CeedScalar *in = d % 2 ? s_buffer_2 : s_buffer_1; 54a0154adeSJed Brown CeedScalar *out = d == BASIS_DIM - 1 ? cur_v : (d % 2 ? s_buffer_1 : s_buffer_2); 55a0154adeSJed Brown 56a0154adeSJed Brown // Contract along middle index 57a0154adeSJed Brown const CeedInt writeLen = pre * post * Q; 58a0154adeSJed Brown for (CeedInt k = i; k < writeLen; k += blockDim.x) { 59a0154adeSJed Brown const CeedInt c = k % post; 60a0154adeSJed Brown const CeedInt j = (k / post) % Q; 61a0154adeSJed Brown const CeedInt a = k / (post * Q); 62a0154adeSJed Brown 63a0154adeSJed Brown CeedScalar vk = 0; 64*2a86cc9dSSebastian Grimberg for (CeedInt b = 0; b < P; b++) vk += s_interp_1d[j * stride_0 + b * stride_1] * in[(a * P + b) * post + c]; 65a0154adeSJed Brown 66a0154adeSJed Brown out[k] = vk; 67a0154adeSJed Brown } 68a0154adeSJed Brown 69a0154adeSJed Brown post *= Q; 70a0154adeSJed Brown } 71a0154adeSJed Brown } 72a0154adeSJed Brown } 73a0154adeSJed Brown } 74a0154adeSJed Brown 75a0154adeSJed Brown //------------------------------------------------------------------------------ 76a0154adeSJed Brown // Grad 77a0154adeSJed Brown //------------------------------------------------------------------------------ 782b730f8bSJeremy L Thompson extern "C" __global__ void Grad(const CeedInt num_elem, const CeedInt transpose, const CeedScalar *__restrict__ interp_1d, 792b730f8bSJeremy L Thompson const CeedScalar *__restrict__ grad_1d, const CeedScalar *__restrict__ u, CeedScalar *__restrict__ v) { 80a0154adeSJed Brown const CeedInt i = threadIdx.x; 81a0154adeSJed Brown 82a0154adeSJed Brown __shared__ CeedScalar s_mem[2 * (BASIS_Q_1D * BASIS_P_1D + BASIS_BUF_LEN)]; 83a0154adeSJed Brown CeedScalar *s_interp_1d = s_mem; 84a0154adeSJed Brown CeedScalar *s_grad_1d = s_interp_1d + BASIS_Q_1D * BASIS_P_1D; 85a0154adeSJed Brown CeedScalar *s_buffer_1 = s_grad_1d + BASIS_Q_1D * BASIS_P_1D; 86a0154adeSJed Brown CeedScalar *s_buffer_2 = s_buffer_1 + BASIS_BUF_LEN; 87a0154adeSJed Brown for (CeedInt k = i; k < BASIS_Q_1D * BASIS_P_1D; k += blockDim.x) { 88a0154adeSJed Brown s_interp_1d[k] = interp_1d[k]; 89a0154adeSJed Brown s_grad_1d[k] = grad_1d[k]; 90a0154adeSJed Brown } 91a0154adeSJed Brown 92a0154adeSJed Brown const CeedInt P = transpose ? BASIS_Q_1D : BASIS_P_1D; 93a0154adeSJed Brown const CeedInt Q = transpose ? BASIS_P_1D : BASIS_Q_1D; 94*2a86cc9dSSebastian Grimberg const CeedInt stride_0 = transpose ? 1 : BASIS_P_1D; 95*2a86cc9dSSebastian Grimberg const CeedInt stride_1 = transpose ? BASIS_P_1D : 1; 96a0154adeSJed Brown const CeedInt u_stride = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 97a0154adeSJed Brown const CeedInt v_stride = transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS; 98a0154adeSJed Brown const CeedInt u_comp_stride = num_elem * (transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES); 99a0154adeSJed Brown const CeedInt v_comp_stride = num_elem * (transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS); 100a0154adeSJed Brown const CeedInt u_dim_stride = transpose ? num_elem * BASIS_NUM_QPTS * BASIS_NUM_COMP : 0; 101a0154adeSJed Brown const CeedInt v_dim_stride = transpose ? 0 : num_elem * BASIS_NUM_QPTS * BASIS_NUM_COMP; 102a0154adeSJed Brown 103a0154adeSJed Brown // Apply basis element by element 104a0154adeSJed Brown for (CeedInt elem = blockIdx.x; elem < num_elem; elem += gridDim.x) { 105a0154adeSJed Brown for (CeedInt comp = 0; comp < BASIS_NUM_COMP; comp++) { 106a0154adeSJed Brown // dim*dim contractions for grad 107a0154adeSJed Brown for (CeedInt dim_1 = 0; dim_1 < BASIS_DIM; dim_1++) { 108a0154adeSJed Brown CeedInt pre = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 109a0154adeSJed Brown CeedInt post = 1; 1102b730f8bSJeremy L Thompson const CeedScalar *cur_u = u + elem * u_stride + dim_1 * u_dim_stride + comp * u_comp_stride; 1112b730f8bSJeremy L Thompson CeedScalar *cur_v = v + elem * v_stride + dim_1 * v_dim_stride + comp * v_comp_stride; 112a0154adeSJed Brown for (CeedInt dim_2 = 0; dim_2 < BASIS_DIM; dim_2++) { 113a0154adeSJed Brown __syncthreads(); 114a0154adeSJed Brown // Update buffers used 115a0154adeSJed Brown pre /= P; 116a0154adeSJed Brown const CeedScalar *op = dim_1 == dim_2 ? s_grad_1d : s_interp_1d; 1172b730f8bSJeremy L Thompson const CeedScalar *in = dim_2 == 0 ? cur_u : (dim_2 % 2 ? s_buffer_2 : s_buffer_1); 1182b730f8bSJeremy L Thompson CeedScalar *out = dim_2 == BASIS_DIM - 1 ? cur_v : (dim_2 % 2 ? s_buffer_1 : s_buffer_2); 119a0154adeSJed Brown 120a0154adeSJed Brown // Contract along middle index 121a0154adeSJed Brown const CeedInt writeLen = pre * post * Q; 122a0154adeSJed Brown for (CeedInt k = i; k < writeLen; k += blockDim.x) { 123a0154adeSJed Brown const CeedInt c = k % post; 124a0154adeSJed Brown const CeedInt j = (k / post) % Q; 125a0154adeSJed Brown const CeedInt a = k / (post * Q); 126a0154adeSJed Brown CeedScalar v_k = 0; 127*2a86cc9dSSebastian Grimberg for (CeedInt b = 0; b < P; b++) v_k += op[j * stride_0 + b * stride_1] * in[(a * P + b) * post + c]; 128a0154adeSJed Brown 1292b730f8bSJeremy L Thompson if (transpose && dim_2 == BASIS_DIM - 1) out[k] += v_k; 1302b730f8bSJeremy L Thompson else out[k] = v_k; 131a0154adeSJed Brown } 132a0154adeSJed Brown 133a0154adeSJed Brown post *= Q; 134a0154adeSJed Brown } 135a0154adeSJed Brown } 136a0154adeSJed Brown } 137a0154adeSJed Brown } 138a0154adeSJed Brown } 139a0154adeSJed Brown 140a0154adeSJed Brown //------------------------------------------------------------------------------ 141a0154adeSJed Brown // 1D quadrature weights 142a0154adeSJed Brown //------------------------------------------------------------------------------ 1432b730f8bSJeremy L Thompson __device__ void Weight1d(const CeedInt num_elem, const CeedScalar *q_weight_1d, CeedScalar *w) { 144a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 1452b730f8bSJeremy L Thompson for (CeedInt i = 0; i < BASIS_Q_1D; i++) w1d[i] = q_weight_1d[i]; 146a0154adeSJed Brown 1472b730f8bSJeremy L Thompson for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; e < num_elem; e += blockDim.x * gridDim.x) 148a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) { 149a0154adeSJed Brown const CeedInt ind = e * BASIS_Q_1D + i; // sequential 150a0154adeSJed Brown w[ind] = w1d[i]; 151a0154adeSJed Brown } 152a0154adeSJed Brown } 153a0154adeSJed Brown 154a0154adeSJed Brown //------------------------------------------------------------------------------ 155a0154adeSJed Brown // 2D quadrature weights 156a0154adeSJed Brown //------------------------------------------------------------------------------ 1572b730f8bSJeremy L Thompson __device__ void Weight2d(const CeedInt num_elem, const CeedScalar *q_weight_1d, CeedScalar *w) { 158a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 1592b730f8bSJeremy L Thompson for (CeedInt i = 0; i < BASIS_Q_1D; i++) w1d[i] = q_weight_1d[i]; 160a0154adeSJed Brown 1612b730f8bSJeremy L Thompson for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; e < num_elem; e += blockDim.x * gridDim.x) 162a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 163a0154adeSJed Brown for (CeedInt j = 0; j < BASIS_Q_1D; j++) { 164a0154adeSJed Brown const CeedInt ind = e * BASIS_Q_1D * BASIS_Q_1D + i + j * BASIS_Q_1D; // sequential 165a0154adeSJed Brown w[ind] = w1d[i] * w1d[j]; 166a0154adeSJed Brown } 167a0154adeSJed Brown } 168a0154adeSJed Brown 169a0154adeSJed Brown //------------------------------------------------------------------------------ 170a0154adeSJed Brown // 3D quadrature weights 171a0154adeSJed Brown //------------------------------------------------------------------------------ 1722b730f8bSJeremy L Thompson __device__ void Weight3d(const CeedInt num_elem, const CeedScalar *q_weight_1d, CeedScalar *w) { 173a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 1742b730f8bSJeremy L Thompson for (CeedInt i = 0; i < BASIS_Q_1D; i++) w1d[i] = q_weight_1d[i]; 175a0154adeSJed Brown 1762b730f8bSJeremy L Thompson for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; e < num_elem; e += blockDim.x * gridDim.x) 177a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 178a0154adeSJed Brown for (CeedInt j = 0; j < BASIS_Q_1D; j++) 179a0154adeSJed Brown for (CeedInt k = 0; k < BASIS_Q_1D; k++) { 1802b730f8bSJeremy L Thompson const CeedInt ind = e * BASIS_Q_1D * BASIS_Q_1D * BASIS_Q_1D + i + j * BASIS_Q_1D + k * BASIS_Q_1D * BASIS_Q_1D; // sequential 181a0154adeSJed Brown w[ind] = w1d[i] * w1d[j] * w1d[k]; 182a0154adeSJed Brown } 183a0154adeSJed Brown } 184a0154adeSJed Brown 185a0154adeSJed Brown //------------------------------------------------------------------------------ 186a0154adeSJed Brown // Quadrature weights 187a0154adeSJed Brown //------------------------------------------------------------------------------ 1882b730f8bSJeremy L Thompson extern "C" __global__ void Weight(const CeedInt num_elem, const CeedScalar *__restrict__ q_weight_1d, CeedScalar *__restrict__ v) { 1892b730f8bSJeremy L Thompson if (BASIS_DIM == 1) Weight1d(num_elem, q_weight_1d, v); 1902b730f8bSJeremy L Thompson else if (BASIS_DIM == 2) Weight2d(num_elem, q_weight_1d, v); 1912b730f8bSJeremy L Thompson else if (BASIS_DIM == 3) Weight3d(num_elem, q_weight_1d, v); 192a0154adeSJed Brown } 193a0154adeSJed Brown 194a0154adeSJed Brown //------------------------------------------------------------------------------ 195