// Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. // // SPDX-License-Identifier: BSD-2-Clause // // This file is part of CEED: http://github.com/ceed /// @file /// Internal header for HIP operator full assembly #ifndef CEED_HIP_REF_OPERATOR_ASSEMBLE_H #define CEED_HIP_REF_OPERATOR_ASSEMBLE_H #include #if USE_CEEDSIZE typedef CeedSize IndexType; #else typedef CeedInt IndexType; #endif //------------------------------------------------------------------------------ // Matrix assembly kernel //------------------------------------------------------------------------------ extern "C" __launch_bounds__(BLOCK_SIZE) __global__ void LinearAssemble(const CeedInt num_elem, const CeedScalar *B_in, const CeedScalar *B_out, const bool *orients_in, const CeedInt8 *curl_orients_in, const bool *orients_out, const CeedInt8 *curl_orients_out, const CeedScalar *__restrict__ qf_array, CeedScalar *__restrict__ values_array) { extern __shared__ CeedScalar s_CT[]; CeedScalar *s_C = s_CT + NUM_NODES_OUT * NUM_NODES_IN; const int l = threadIdx.x; // The output column index of each B^T D B operation // such that we have (Bout^T)_ij D_jk Bin_kl = C_il // Strides for final output ordering, determined by the reference (interface) implementation of the symbolic assembly, slowest --> fastest: e, // comp_in, comp_out, node_row, node_col const IndexType comp_out_stride = NUM_NODES_OUT * NUM_NODES_IN; const IndexType comp_in_stride = comp_out_stride * NUM_COMP_OUT; const IndexType e_stride = comp_in_stride * NUM_COMP_IN; // Strides for QF array, slowest --> fastest: e_in, comp_in, e_out, comp_out, e, q const IndexType q_e_stride = NUM_QPTS; const IndexType q_comp_out_stride = num_elem * q_e_stride; const IndexType q_eval_mode_out_stride = q_comp_out_stride * NUM_COMP_OUT; const IndexType q_comp_in_stride = q_eval_mode_out_stride * NUM_EVAL_MODES_OUT; const IndexType q_eval_mode_in_stride = q_comp_in_stride * NUM_COMP_IN; // Loop over each element (if necessary) for (IndexType e = blockIdx.x * blockDim.z + threadIdx.z; e < num_elem; e += gridDim.x * blockDim.z) { for (IndexType comp_in = 0; comp_in < NUM_COMP_IN; comp_in++) { for (IndexType comp_out = 0; comp_out < NUM_COMP_OUT; comp_out++) { for (IndexType i = threadIdx.y; i < NUM_NODES_OUT; i += BLOCK_SIZE_Y) { CeedScalar result = 0.0; IndexType qf_index_comp = q_comp_in_stride * comp_in + q_comp_out_stride * comp_out + q_e_stride * e; for (IndexType e_in = 0; e_in < NUM_EVAL_MODES_IN; e_in++) { IndexType b_in_index = e_in * NUM_QPTS * NUM_NODES_IN; for (IndexType e_out = 0; e_out < NUM_EVAL_MODES_OUT; e_out++) { IndexType b_out_index = e_out * NUM_QPTS * NUM_NODES_OUT; IndexType qf_index = qf_index_comp + q_eval_mode_out_stride * e_out + q_eval_mode_in_stride * e_in; // Perform the B^T D B operation for this 'chunk' of D (the qf_array) for (IndexType j = 0; j < NUM_QPTS; j++) { result += B_out[b_out_index + j * NUM_NODES_OUT + i] * qf_array[qf_index + j] * B_in[b_in_index + j * NUM_NODES_IN + l]; } } // end of out eval mode } // end of in eval mode if (orients_in) { result *= orients_in[NUM_NODES_IN * e + l] ? -1.0 : 1.0; } if (orients_out) { result *= orients_out[NUM_NODES_OUT * e + i] ? -1.0 : 1.0; } if (!curl_orients_in && !curl_orients_out) { IndexType val_index = e_stride * e + comp_in_stride * comp_in + comp_out_stride * comp_out + NUM_NODES_IN * i + l; values_array[val_index] = result; } else if (curl_orients_in) { s_C[NUM_NODES_IN * threadIdx.y + l] = result; __syncthreads(); s_CT[NUM_NODES_IN * i + l] = (l > 0 ? s_C[NUM_NODES_IN * threadIdx.y + l - 1] * curl_orients_in[3 * NUM_NODES_IN * e + 3 * l - 1] : 0.0) + s_C[NUM_NODES_IN * threadIdx.y + l] * curl_orients_in[3 * NUM_NODES_IN * e + 3 * l + 1] + (l < (NUM_NODES_IN - 1) ? s_C[NUM_NODES_IN * threadIdx.y + l + 1] * curl_orients_in[3 * NUM_NODES_IN * e + 3 * l + 3] : 0.0); } else { s_CT[NUM_NODES_IN * i + l] = result; } } // end of loop over element node index, i if (curl_orients_in || curl_orients_out) { // Compute and store the final T^T (B^T D B T) using the fully computed C T product in shared memory if (curl_orients_out) __syncthreads(); for (IndexType i = threadIdx.y; i < NUM_NODES_OUT; i += BLOCK_SIZE_Y) { IndexType val_index = e_stride * e + comp_in_stride * comp_in + comp_out_stride * comp_out + NUM_NODES_IN * i + l; if (curl_orients_out) { values_array[val_index] = (i > 0 ? s_CT[NUM_NODES_IN * (i - 1) + l] * curl_orients_out[3 * NUM_NODES_OUT * e + 3 * i - 1] : 0.0) + s_CT[NUM_NODES_IN * i + l] * curl_orients_out[3 * NUM_NODES_OUT * e + 3 * i + 1] + (i < (NUM_NODES_OUT - 1) ? s_CT[NUM_NODES_IN * (i + 1) + l] * curl_orients_out[3 * NUM_NODES_OUT * e + 3 * i + 3] : 0.0); } else { values_array[val_index] = s_CT[NUM_NODES_IN * i + l]; } } } } // end of out component } // end of in component } // end of element loop } //------------------------------------------------------------------------------ #endif // CEED_HIP_REF_OPERATOR_ASSEMBLE_H