// # This file uses avx2 // # This is the first variant and should serve as a base for further avx2 optimizations // Okay our first step is to use a SoA instead of an AoS // We only do SoA for the pedestrian struct, there we wanna optimize such that we access for the ped-ped forces adjacent pedestrians (in the arrays) #include "../headers/board.hpp" #include "../headers/constants.hpp" #include "../headers/pedestrian_reduced.hpp" #include #include #include #include #include #include #include #include #define SEED 42 #define BOARD_WIDTH 10.0 #define BOARD_LENGTH 50.0 #define WALL_EPS 1e-3 #define BOARD_WIDTH_MINUS_WALL_EPS 9.999 #ifndef RANDOM_SEED #define RANDOM_SEED 0 #endif #ifndef BENCHMARK #define BENCHMARK 0 #endif using namespace std; // we wanna use arrays so we can implement SOA, we create arrays for all the data we need and access vector pos_x, pos_y; vector sb_sq; vector sb_e_x, sb_e_y; vector e_x, e_y; vector curr_vel_x, curr_vel_y; vector w_x, w_y; vector desired_v0; vector v_max; vector destination_x, destination_y; vector color; Pedestrian *init_pedestrians(int n_p) { #if RANDOM_SEED random_device rd; mt19937 gen(rd()); #else mt19937 gen(SEED); #endif normal_distribution velocity_gen(v0_mean, v0_std_dev); uniform_real_distribution y_gen(0.3, BOARD_WIDTH - 0.3); uniform_real_distribution x_gen_left(2.0, BOARD_LENGTH / 2.0); uniform_real_distribution x_gen_right(BOARD_LENGTH / 2.0, BOARD_LENGTH - 2.0); // resize all our arrays for this run pos_x.resize(n_p); pos_y.resize(n_p); sb_sq.resize(n_p); sb_e_x.resize(n_p); sb_e_y.resize(n_p); e_x.resize(n_p); e_y.resize(n_p); curr_vel_x.resize(n_p); curr_vel_y.resize(n_p); w_x.resize(n_p); w_y.resize(n_p); desired_v0.resize(n_p); v_max.resize(n_p); destination_x.resize(n_p); destination_y.resize(n_p); color.resize(n_p); int n_p_half = n_p / 2; for (int i = 0; i < n_p_half; i++) { double x = x_gen_left(gen); double y = y_gen(gen); double dest_x = BOARD_LENGTH + 30.0; // renamed to avoid shadowing destination_x[] double dest_y = y; // same idea for destination_y[] double init_e_x = dest_x - x; double init_e_y = dest_y - y; double init_e_norm = sqrt(init_e_x * init_e_x + init_e_y * init_e_y); double init_e_unit_x = init_e_x / init_e_norm; double init_e_unit_y = init_e_y / init_e_norm; double d_v0; do { d_v0 = velocity_gen(gen); } while (d_v0 <= 0.1); double v_m = 1.3 * d_v0; color[i] = 0; pos_x[i] = x; pos_y[i] = y; e_x[i] = init_e_unit_x; e_y[i] = init_e_unit_y; v_max[i] = v_m; desired_v0[i] = d_v0; destination_x[i] = dest_x; destination_y[i] = dest_y; // Fields the Pedestrian constructor would have zero-initialized: w_x[i] = 0.0; w_y[i] = 0.0; curr_vel_x[i] = 0.0; curr_vel_y[i] = 0.0; sb_sq[i] = 0.0; sb_e_x[i] = 0.0; sb_e_y[i] = 0.0; } for (int i = n_p_half; i < n_p; i++) { double x = x_gen_right(gen); double y = y_gen(gen); double dest_x = -30; double dest_y = y; double init_e_x = dest_x - x; double init_e_y = dest_y - y; double init_e_norm = sqrt(init_e_x * init_e_x + init_e_y * init_e_y); double init_e_unit_x = init_e_x / init_e_norm; double init_e_unit_y = init_e_y / init_e_norm; double d_v0; do { d_v0 = velocity_gen(gen); } while (d_v0 <= 0.1); double v_m = 1.3 * d_v0; color[i] = 1; pos_x[i] = x; pos_y[i] = y; e_x[i] = init_e_unit_x; e_y[i] = init_e_unit_y; v_max[i] = v_m; desired_v0[i] = d_v0; destination_x[i] = dest_x; destination_y[i] = dest_y; // Fields the Pedestrian constructor would have zero-initialized: w_x[i] = 0.0; w_y[i] = 0.0; curr_vel_x[i] = 0.0; curr_vel_y[i] = 0.0; sb_sq[i] = 0.0; sb_e_x[i] = 0.0; sb_e_y[i] = 0.0; } return nullptr; } Board init_board_without_obstacles() { return Board(BOARD_LENGTH, BOARD_WIDTH, 0, nullptr); } int run_simulation(Pedestrian *pedestrians, Board &board, int n_p, int n_iter, const char *dump_path) { #if BENCHMARK (void)dump_path; #endif #if !BENCHMARK const int dump_interval = 1; vector> samples; if (dump_path) { samples.reserve(static_cast(n_iter / dump_interval + 1) * n_p); for (int i = 0; i < n_p; i++) { // Pedestrian &p = pedestrians[i]; samples.emplace_back(0, i, pos_x[i], pos_y[i], e_x[i], e_y[i], color[i]); } } #endif // # ADDs: n_iter * n_p * 11 + // # n_iter * n_p * (n_p - 1) * 14 + // # n_iter * n_p * board.n_obstacles * 12 // # MULTs: n_iter * n_p * 21 + // # n_iter * n_p * (n_p - 1) * 24 + // # n_iter * n_p * board.n_obstacles * 19 // # DIVs: n_iter * n_p * 2 + // # n_iter * n_p * (n_p - 1) + // # n_iter * n_p * board.n_obstacles // # SQRTs: n_iter * n_p * 3 + // # n_iter * n_p * (n_p - 1) * 3 + // # n_iter * n_p * board.n_obstacles // # EXPs: n_iter * n_p * (n_p - 1) + // # n_iter * n_p * board.n_obstacles for (int t = 0; t < n_iter; t++) { for (int i = 0; i < n_p; i++) { double desired_velocity_x = e_x[i] * desired_v0[i]; double desired_velocity_y = e_y[i] * desired_v0[i]; double f_alpha_dt_x = (desired_velocity_x - curr_vel_x[i]) * dt_times_tau_alpha_inv; double f_alpha_dt_y = (desired_velocity_y - curr_vel_y[i]) * dt_times_tau_alpha_inv; for (int j = 0; j < n_p; j++) { if (i == j) continue; double r_ab_x = pos_x[i] - pos_x[j]; double r_ab_y = pos_y[i] - pos_y[j]; double r_ab_norm = sqrt(r_ab_x * r_ab_x + r_ab_y * r_ab_y); double r_ab2_x = r_ab_x - sb_e_x[j]; double r_ab2_y = r_ab_y - sb_e_y[j]; double r_ab2_norm = sqrt(r_ab2_x * r_ab2_x + r_ab2_y * r_ab2_y); double r_ab_norm_sum = r_ab_norm + r_ab2_norm; double two_b_sq = r_ab_norm_sum * r_ab_norm_sum - sb_sq[j]; double two_b = sqrt(two_b_sq); double scalar_mult_common = (r_ab_norm_sum / (two_b * r_ab_norm * r_ab2_norm)) * (NEG_V0_AB_div_TWO_SIGMA * exp(two_b * NEG_TWO_SIGMA_INV)); double scalar_mult_r_ab = scalar_mult_common * r_ab2_norm; double scalar_mult_r_ab2 = scalar_mult_common * r_ab_norm; double f_alpha_beta_neg_x = r_ab_x * scalar_mult_r_ab + r_ab2_x * scalar_mult_r_ab2; double f_alpha_beta_neg_y = r_ab_y * scalar_mult_r_ab + r_ab2_y * scalar_mult_r_ab2; double w_val; double a = (e_x[i] * f_alpha_beta_neg_x + e_y[i] * f_alpha_beta_neg_y) * cos_phi_inv; double b_sq = f_alpha_beta_neg_x * f_alpha_beta_neg_x + f_alpha_beta_neg_y * f_alpha_beta_neg_y; w_val = dt_neg; if (a >= 0 && (a * a > b_sq)) { w_val = c_neg_times_dt; } f_alpha_dt_x = f_alpha_dt_x + f_alpha_beta_neg_x * w_val; f_alpha_dt_y = f_alpha_dt_y + f_alpha_beta_neg_y * w_val; } for (int k = 0; k < board.n_obstacles; k++) { double v1_x = pos_x[i] - board.obstacles[k].start.x; double v1_y = pos_y[i] - board.obstacles[k].start.y; double projection = (v1_x * board.obstacles[k].obstacle_v.x + v1_y * board.obstacles[k].obstacle_v.y) * board.obstacles[k].length_sq_inv; if (projection < 0.0) projection = 0.0; else if (projection > 1.0) projection = 1.0; double r_aB_x = pos_x[i] - (board.obstacles[k].start.x + board.obstacles[k].obstacle_v.x * projection); double r_aB_y = pos_y[i] - (board.obstacles[k].start.y + board.obstacles[k].obstacle_v.y * projection); double r_aB_norm = sqrt(r_aB_x * r_aB_x + r_aB_y * r_aB_y); double scalar_mult = (NEG_U0_AB_div_R * exp(r_aB_norm * NEG_R_INV)) / r_aB_norm; double f_alpha_B_neg_x = r_aB_x * scalar_mult; double f_alpha_B_neg_y = r_aB_y * scalar_mult; double w_val; double a = (e_x[i] * f_alpha_B_neg_x + e_y[i] * f_alpha_B_neg_y) * cos_phi_inv; double b_sq = f_alpha_B_neg_x * f_alpha_B_neg_x + f_alpha_B_neg_y * f_alpha_B_neg_y; w_val = dt_neg; if (a >= 0 && (a * a > b_sq)) { w_val = c_neg_times_dt; } double f_alpha_B_dt_x = f_alpha_B_neg_x * w_val; double f_alpha_B_dt_y = f_alpha_B_neg_y * w_val; f_alpha_dt_x += f_alpha_B_dt_x; f_alpha_dt_y += f_alpha_B_dt_y; } w_x[i] += f_alpha_dt_x; w_y[i] += f_alpha_dt_y; } for (int i = 0; i < n_p; i++) { double w_norm = sqrt(w_x[i] * w_x[i] + w_y[i] * w_y[i]); double correction_factor = min(1.0, v_max[i] / w_norm); curr_vel_x[i] = w_x[i] * correction_factor; curr_vel_y[i] = w_y[i] * correction_factor; pos_x[i] = pos_x[i] + curr_vel_x[i] * dt; pos_y[i] = pos_y[i] + curr_vel_y[i] * dt; if (color[i] == 0 && pos_x[i] > (BOARD_LENGTH - 1.5)) { pos_x[i] = 1.0; destination_y[i] = pos_y[i]; w_x[i] = desired_v0[i]; w_y[i] = 0.0; curr_vel_x[i] = w_x[i]; curr_vel_y[i] = w_y[i]; } if (color[i] == 1 && pos_x[i] < 1.5) { pos_x[i] = BOARD_LENGTH - 1.0; destination_y[i] = pos_y[i]; w_x[i] = -desired_v0[i]; w_y[i] = 0.0; curr_vel_x[i] = w_x[i]; curr_vel_y[i] = w_y[i]; } pos_y[i] = clamp(pos_y[i], WALL_EPS, BOARD_WIDTH_MINUS_WALL_EPS); double ex = destination_x[i] - pos_x[i]; double ey = destination_y[i] - pos_y[i]; double e_norm_inv = 1.0 / sqrt(ex * ex + ey * ey); e_x[i] = ex * e_norm_inv; e_y[i] = ey * e_norm_inv; double velocity_norm_sq = curr_vel_x[i] * curr_vel_x[i] + curr_vel_y[i] * curr_vel_y[i]; double velocity_norm = sqrt(velocity_norm_sq); sb_sq[i] = velocity_norm_sq * delta_t_sq; sb_e_x[i] = e_x[i] * (velocity_norm * delta_t); sb_e_y[i] = e_y[i] * (velocity_norm * delta_t); #if !BENCHMARK if (dump_path && (t % dump_interval == 0)) { samples.emplace_back(t + 1, i, pos_x[i], pos_y[i], e_x[i], e_y[i], color[i]); } #endif } } #if !BENCHMARK if (dump_path) { ofstream out(dump_path); out << "time,id,x,y,p.e.x,p.e.y,color\n"; for (auto &[t, id, x, y, e_x, e_y, c] : samples) { out << t << ',' << id << ',' << x << ',' << y << ',' << e_x << ',' << e_y << ',' << c << '\n'; } } #endif return 0; }