1*a0154adeSJed Brown // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2*a0154adeSJed Brown // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3*a0154adeSJed Brown // 4*a0154adeSJed Brown // SPDX-License-Identifier: BSD-2-Clause 5*a0154adeSJed Brown // 6*a0154adeSJed Brown // This file is part of CEED: http://github.com/ceed 7*a0154adeSJed Brown 8*a0154adeSJed Brown #include <ceed/ceed.h> 9*a0154adeSJed Brown //------------------------------------------------------------------------------ 10*a0154adeSJed Brown // Tensor Basis Kernels 11*a0154adeSJed Brown //------------------------------------------------------------------------------ 12*a0154adeSJed Brown 13*a0154adeSJed Brown //------------------------------------------------------------------------------ 14*a0154adeSJed Brown // Interp 15*a0154adeSJed Brown //------------------------------------------------------------------------------ 16*a0154adeSJed Brown extern "C" __global__ void Interp(const CeedInt num_elem, const CeedInt transpose, 17*a0154adeSJed Brown const CeedScalar *__restrict__ interp_1d, 18*a0154adeSJed Brown const CeedScalar *__restrict__ u, 19*a0154adeSJed Brown CeedScalar *__restrict__ v) { 20*a0154adeSJed Brown const CeedInt i = threadIdx.x; 21*a0154adeSJed Brown 22*a0154adeSJed Brown __shared__ CeedScalar s_mem[BASIS_Q_1D * BASIS_P_1D + 2 * BASIS_BUF_LEN]; 23*a0154adeSJed Brown CeedScalar *s_interp_1d = s_mem; 24*a0154adeSJed Brown CeedScalar *s_buffer_1 = s_mem + BASIS_Q_1D * BASIS_P_1D; 25*a0154adeSJed Brown CeedScalar *s_buffer_2 = s_buffer_1 + BASIS_BUF_LEN; 26*a0154adeSJed Brown for (CeedInt k = i; k < BASIS_Q_1D * BASIS_P_1D; k += blockDim.x) { 27*a0154adeSJed Brown s_interp_1d[k] = interp_1d[k]; 28*a0154adeSJed Brown } 29*a0154adeSJed Brown 30*a0154adeSJed Brown const CeedInt P = transpose ? BASIS_Q_1D : BASIS_P_1D; 31*a0154adeSJed Brown const CeedInt Q = transpose ? BASIS_P_1D : BASIS_Q_1D; 32*a0154adeSJed Brown const CeedInt stride0 = transpose ? 1 : BASIS_P_1D; 33*a0154adeSJed Brown const CeedInt stride1 = transpose ? BASIS_P_1D : 1; 34*a0154adeSJed Brown const CeedInt u_stride = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 35*a0154adeSJed Brown const CeedInt v_stride = transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS; 36*a0154adeSJed Brown const CeedInt u_comp_stride = num_elem * (transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES); 37*a0154adeSJed Brown const CeedInt v_comp_stride = num_elem * (transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS); 38*a0154adeSJed Brown const CeedInt u_size = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 39*a0154adeSJed Brown 40*a0154adeSJed Brown // Apply basis element by element 41*a0154adeSJed Brown for (CeedInt elem = blockIdx.x; elem < num_elem; elem += gridDim.x) { 42*a0154adeSJed Brown for (CeedInt comp = 0; comp < BASIS_NUM_COMP; comp++) { 43*a0154adeSJed Brown const CeedScalar *cur_u = u + elem * u_stride + comp * u_comp_stride; 44*a0154adeSJed Brown CeedScalar *cur_v = v + elem * v_stride + comp * v_comp_stride; 45*a0154adeSJed Brown for (CeedInt k = i; k < u_size; k += blockDim.x) { 46*a0154adeSJed Brown s_buffer_1[k] = cur_u[k]; 47*a0154adeSJed Brown } 48*a0154adeSJed Brown CeedInt pre = u_size; 49*a0154adeSJed Brown CeedInt post = 1; 50*a0154adeSJed Brown for (CeedInt d = 0; d < BASIS_DIM; d++) { 51*a0154adeSJed Brown __syncthreads(); 52*a0154adeSJed Brown // Update buffers used 53*a0154adeSJed Brown pre /= P; 54*a0154adeSJed Brown const CeedScalar *in = d % 2 ? s_buffer_2 : s_buffer_1; 55*a0154adeSJed Brown CeedScalar *out = d == BASIS_DIM - 1 ? cur_v : (d % 2 ? s_buffer_1 : s_buffer_2); 56*a0154adeSJed Brown 57*a0154adeSJed Brown // Contract along middle index 58*a0154adeSJed Brown const CeedInt writeLen = pre * post * Q; 59*a0154adeSJed Brown for (CeedInt k = i; k < writeLen; k += blockDim.x) { 60*a0154adeSJed Brown const CeedInt c = k % post; 61*a0154adeSJed Brown const CeedInt j = (k / post) % Q; 62*a0154adeSJed Brown const CeedInt a = k / (post * Q); 63*a0154adeSJed Brown 64*a0154adeSJed Brown CeedScalar vk = 0; 65*a0154adeSJed Brown for (CeedInt b = 0; b < P; b++) 66*a0154adeSJed Brown vk += s_interp_1d[j*stride0 + b*stride1] * in[(a*P + b)*post + c]; 67*a0154adeSJed Brown 68*a0154adeSJed Brown out[k] = vk; 69*a0154adeSJed Brown } 70*a0154adeSJed Brown 71*a0154adeSJed Brown post *= Q; 72*a0154adeSJed Brown } 73*a0154adeSJed Brown } 74*a0154adeSJed Brown } 75*a0154adeSJed Brown } 76*a0154adeSJed Brown 77*a0154adeSJed Brown //------------------------------------------------------------------------------ 78*a0154adeSJed Brown // Grad 79*a0154adeSJed Brown //------------------------------------------------------------------------------ 80*a0154adeSJed Brown extern "C" __global__ void Grad(const CeedInt num_elem, const CeedInt transpose, 81*a0154adeSJed Brown const CeedScalar *__restrict__ interp_1d, 82*a0154adeSJed Brown const CeedScalar *__restrict__ grad_1d, 83*a0154adeSJed Brown const CeedScalar *__restrict__ u, 84*a0154adeSJed Brown CeedScalar *__restrict__ v) { 85*a0154adeSJed Brown const CeedInt i = threadIdx.x; 86*a0154adeSJed Brown 87*a0154adeSJed Brown __shared__ CeedScalar s_mem[2 * (BASIS_Q_1D * BASIS_P_1D + BASIS_BUF_LEN)]; 88*a0154adeSJed Brown CeedScalar *s_interp_1d = s_mem; 89*a0154adeSJed Brown CeedScalar *s_grad_1d = s_interp_1d + BASIS_Q_1D * BASIS_P_1D; 90*a0154adeSJed Brown CeedScalar *s_buffer_1 = s_grad_1d + BASIS_Q_1D * BASIS_P_1D; 91*a0154adeSJed Brown CeedScalar *s_buffer_2 = s_buffer_1 + BASIS_BUF_LEN; 92*a0154adeSJed Brown for (CeedInt k = i; k < BASIS_Q_1D * BASIS_P_1D; k += blockDim.x) { 93*a0154adeSJed Brown s_interp_1d[k] = interp_1d[k]; 94*a0154adeSJed Brown s_grad_1d[k] = grad_1d[k]; 95*a0154adeSJed Brown } 96*a0154adeSJed Brown 97*a0154adeSJed Brown const CeedInt P = transpose ? BASIS_Q_1D : BASIS_P_1D; 98*a0154adeSJed Brown const CeedInt Q = transpose ? BASIS_P_1D : BASIS_Q_1D; 99*a0154adeSJed Brown const CeedInt stride0 = transpose ? 1 : BASIS_P_1D; 100*a0154adeSJed Brown const CeedInt stride1 = transpose ? BASIS_P_1D : 1; 101*a0154adeSJed Brown const CeedInt u_stride = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 102*a0154adeSJed Brown const CeedInt v_stride = transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS; 103*a0154adeSJed Brown const CeedInt u_comp_stride = num_elem * (transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES); 104*a0154adeSJed Brown const CeedInt v_comp_stride = num_elem * (transpose ? BASIS_NUM_NODES : BASIS_NUM_QPTS); 105*a0154adeSJed Brown const CeedInt u_dim_stride = transpose ? num_elem * BASIS_NUM_QPTS * BASIS_NUM_COMP : 0; 106*a0154adeSJed Brown const CeedInt v_dim_stride = transpose ? 0 : num_elem * BASIS_NUM_QPTS * BASIS_NUM_COMP; 107*a0154adeSJed Brown 108*a0154adeSJed Brown // Apply basis element by element 109*a0154adeSJed Brown for (CeedInt elem = blockIdx.x; elem < num_elem; elem += gridDim.x) { 110*a0154adeSJed Brown for (CeedInt comp = 0; comp < BASIS_NUM_COMP; comp++) { 111*a0154adeSJed Brown 112*a0154adeSJed Brown // dim*dim contractions for grad 113*a0154adeSJed Brown for (CeedInt dim_1 = 0; dim_1 < BASIS_DIM; dim_1++) { 114*a0154adeSJed Brown CeedInt pre = transpose ? BASIS_NUM_QPTS : BASIS_NUM_NODES; 115*a0154adeSJed Brown CeedInt post = 1; 116*a0154adeSJed Brown const CeedScalar *cur_u = u + elem * u_stride + dim_1 * u_dim_stride + 117*a0154adeSJed Brown comp * u_comp_stride; 118*a0154adeSJed Brown CeedScalar *cur_v = v + elem * v_stride + dim_1 * v_dim_stride + comp * 119*a0154adeSJed Brown v_comp_stride; 120*a0154adeSJed Brown for (CeedInt dim_2 = 0; dim_2 < BASIS_DIM; dim_2++) { 121*a0154adeSJed Brown __syncthreads(); 122*a0154adeSJed Brown // Update buffers used 123*a0154adeSJed Brown pre /= P; 124*a0154adeSJed Brown const CeedScalar *op = dim_1 == dim_2 ? s_grad_1d : s_interp_1d; 125*a0154adeSJed Brown const CeedScalar *in = dim_2 == 0 126*a0154adeSJed Brown ? cur_u 127*a0154adeSJed Brown : (dim_2 % 2 ? s_buffer_2 : s_buffer_1); 128*a0154adeSJed Brown CeedScalar *out = dim_2 == BASIS_DIM - 1 129*a0154adeSJed Brown ? cur_v 130*a0154adeSJed Brown : (dim_2 % 2 ? s_buffer_1 : s_buffer_2); 131*a0154adeSJed Brown 132*a0154adeSJed Brown // Contract along middle index 133*a0154adeSJed Brown const CeedInt writeLen = pre * post * Q; 134*a0154adeSJed Brown for (CeedInt k = i; k < writeLen; k += blockDim.x) { 135*a0154adeSJed Brown const CeedInt c = k % post; 136*a0154adeSJed Brown const CeedInt j = (k / post) % Q; 137*a0154adeSJed Brown const CeedInt a = k / (post * Q); 138*a0154adeSJed Brown CeedScalar v_k = 0; 139*a0154adeSJed Brown for (CeedInt b = 0; b < P; b++) 140*a0154adeSJed Brown v_k += op[j * stride0 + b * stride1] * in[(a * P + b) * post + c]; 141*a0154adeSJed Brown 142*a0154adeSJed Brown if (transpose && dim_2 == BASIS_DIM - 1) 143*a0154adeSJed Brown out[k] += v_k; 144*a0154adeSJed Brown else 145*a0154adeSJed Brown out[k] = v_k; 146*a0154adeSJed Brown } 147*a0154adeSJed Brown 148*a0154adeSJed Brown post *= Q; 149*a0154adeSJed Brown } 150*a0154adeSJed Brown } 151*a0154adeSJed Brown } 152*a0154adeSJed Brown } 153*a0154adeSJed Brown } 154*a0154adeSJed Brown 155*a0154adeSJed Brown //------------------------------------------------------------------------------ 156*a0154adeSJed Brown // 1D quadrature weights 157*a0154adeSJed Brown //------------------------------------------------------------------------------ 158*a0154adeSJed Brown __device__ void Weight1d(const CeedInt num_elem, const CeedScalar *q_weight_1d, 159*a0154adeSJed Brown CeedScalar *w) { 160*a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 161*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 162*a0154adeSJed Brown w1d[i] = q_weight_1d[i]; 163*a0154adeSJed Brown 164*a0154adeSJed Brown for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; 165*a0154adeSJed Brown e < num_elem; 166*a0154adeSJed Brown e += blockDim.x * gridDim.x) 167*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) { 168*a0154adeSJed Brown const CeedInt ind = e*BASIS_Q_1D + i; // sequential 169*a0154adeSJed Brown w[ind] = w1d[i]; 170*a0154adeSJed Brown } 171*a0154adeSJed Brown } 172*a0154adeSJed Brown 173*a0154adeSJed Brown //------------------------------------------------------------------------------ 174*a0154adeSJed Brown // 2D quadrature weights 175*a0154adeSJed Brown //------------------------------------------------------------------------------ 176*a0154adeSJed Brown __device__ void Weight2d(const CeedInt num_elem, const CeedScalar *q_weight_1d, 177*a0154adeSJed Brown CeedScalar *w) { 178*a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 179*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 180*a0154adeSJed Brown w1d[i] = q_weight_1d[i]; 181*a0154adeSJed Brown 182*a0154adeSJed Brown for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; 183*a0154adeSJed Brown e < num_elem; 184*a0154adeSJed Brown e += blockDim.x * gridDim.x) 185*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 186*a0154adeSJed Brown for (CeedInt j = 0; j < BASIS_Q_1D; j++) { 187*a0154adeSJed Brown const CeedInt ind = e*BASIS_Q_1D*BASIS_Q_1D + i + j*BASIS_Q_1D; // sequential 188*a0154adeSJed Brown w[ind] = w1d[i]*w1d[j]; 189*a0154adeSJed Brown } 190*a0154adeSJed Brown } 191*a0154adeSJed Brown 192*a0154adeSJed Brown //------------------------------------------------------------------------------ 193*a0154adeSJed Brown // 3D quadrature weights 194*a0154adeSJed Brown //------------------------------------------------------------------------------ 195*a0154adeSJed Brown __device__ void Weight3d(const CeedInt num_elem, const CeedScalar *q_weight_1d, 196*a0154adeSJed Brown CeedScalar *w) { 197*a0154adeSJed Brown CeedScalar w1d[BASIS_Q_1D]; 198*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 199*a0154adeSJed Brown w1d[i] = q_weight_1d[i]; 200*a0154adeSJed Brown 201*a0154adeSJed Brown for (CeedInt e = blockIdx.x * blockDim.x + threadIdx.x; 202*a0154adeSJed Brown e < num_elem; 203*a0154adeSJed Brown e += blockDim.x * gridDim.x) 204*a0154adeSJed Brown for (CeedInt i = 0; i < BASIS_Q_1D; i++) 205*a0154adeSJed Brown for (CeedInt j = 0; j < BASIS_Q_1D; j++) 206*a0154adeSJed Brown for (CeedInt k = 0; k < BASIS_Q_1D; k++) { 207*a0154adeSJed Brown const CeedInt ind = e*BASIS_Q_1D*BASIS_Q_1D*BASIS_Q_1D + i + 208*a0154adeSJed Brown j*BASIS_Q_1D + k*BASIS_Q_1D*BASIS_Q_1D; // sequential 209*a0154adeSJed Brown w[ind] = w1d[i]*w1d[j]*w1d[k]; 210*a0154adeSJed Brown } 211*a0154adeSJed Brown } 212*a0154adeSJed Brown 213*a0154adeSJed Brown //------------------------------------------------------------------------------ 214*a0154adeSJed Brown // Quadrature weights 215*a0154adeSJed Brown //------------------------------------------------------------------------------ 216*a0154adeSJed Brown extern "C" __global__ void Weight(const CeedInt num_elem, 217*a0154adeSJed Brown const CeedScalar *__restrict__ q_weight_1d, 218*a0154adeSJed Brown CeedScalar *__restrict__ v) { 219*a0154adeSJed Brown if (BASIS_DIM == 1) 220*a0154adeSJed Brown Weight1d(num_elem, q_weight_1d, v); 221*a0154adeSJed Brown else if (BASIS_DIM == 2) 222*a0154adeSJed Brown Weight2d(num_elem, q_weight_1d, v); 223*a0154adeSJed Brown else if (BASIS_DIM == 3) 224*a0154adeSJed Brown Weight3d(num_elem, q_weight_1d, v); 225*a0154adeSJed Brown } 226*a0154adeSJed Brown 227*a0154adeSJed Brown //------------------------------------------------------------------------------ 228