feat: add movel,can set tcp speed/jerk and joint max speed

This commit is contained in:
lgv 2026-02-10 11:27:14 +08:00
parent cbcb7391f5
commit 178c8b1dbe
7 changed files with 2392 additions and 457 deletions

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@ -1,13 +1,11 @@
//
// Created by lgv on 11/28/25. // Created by lgv on 11/28/25.
//
#pragma once #pragma once
#include "ik_solver/include/ik_solver.h" #include "ik_solver/include/ik_solver.h"
#include <pinocchio/multibody/model.hpp> #include <pinocchio/multibody/model.hpp>
#include <pinocchio/multibody/data.hpp> #include <pinocchio/multibody/data.hpp>
#include <pinocchio/spatial/se3.hpp>
#include <Eigen/Core> #include <Eigen/Core>
#include <memory> #include <memory>
@ -18,49 +16,45 @@ namespace cmvr {
class PinocchioDlsIKSolver : public IKSolver { class PinocchioDlsIKSolver : public IKSolver {
public: public:
/// urdf_path : 机械臂/整机 URDF 路径(可为双臂共基座整机)
/// base_frame_name : 本 IK 链的基坐标系 frame 名(例如 "BASE" 或 "L_ARM_BASE"
/// flange_frame_name : 末端法兰 frame 名
/// tcp_frame_name : 末端 TCP frame 名(可为空;为空则仅用法兰)
PinocchioDlsIKSolver(const std::string &urdf_path, PinocchioDlsIKSolver(const std::string &urdf_path,
const std::string &base_frame_name, const std::string &base_frame_name,
const std::string &flange_frame_name, const std::string &flange_frame_name,
const std::string &tcp_frame_name = std::string(), const std::string &tcp_frame_name = std::string(),
int max_iters = 100, int max_iters = 100,
double pos_eps = 1e-6, double pos_eps = 1e-6,
double rot_eps = 1e-6, double rot_eps = 1e-6,
double damping = 1e-6); double damping = 1e-4); // 建议默认比 1e-6 大点更稳
~PinocchioDlsIKSolver() override = default; ~PinocchioDlsIKSolver() override = default;
/// 加载 URDF查找 base / flange / tcp frame计算本链关节范围和限位
bool init() override; bool init() override;
/// target_pose: URDF base 下的目标位姿 // target_pose: base 坐标系下的目标位姿
/// is_tcp = true : 目标是 TCP 位姿
/// is_tcp = false : 目标是法兰位姿
///
/// joints_angle:
/// - 输出:长度 = 本链 DOFchain_dof_
bool ik(const Eigen::Matrix4d &target_pose, bool ik(const Eigen::Matrix4d &target_pose,
std::vector<double> &joints_angle, std::vector<double> &joints_angle,
bool is_tcp = true) override; bool is_tcp = true) override;
/// joints_angle: // cur_pose: base 坐标系下当前位姿
/// - 若 size == chain_dof_ : 认为只传本臂关节
/// - 若 size == model_.nq : 认为传整机关节
/// cur_pose : URDF base 下当前 TCP/法兰位姿
bool fk(const std::vector<double> &joints_angle, bool fk(const std::vector<double> &joints_angle,
Eigen::Matrix4d &cur_pose, Eigen::Matrix4d &cur_pose,
bool is_tcp = true) override; bool is_tcp = true) override;
// MoveLS 曲线(限 jerk速度规划 + 微分IKLOCAL生成 q(t)
// target_pose_base: base 下目标位姿(只用平移;姿态保持起点姿态)
bool moveL_SCurveLocal(const Eigen::Matrix4d& target_pose_base,
const std::vector<double>& q_start,
std::vector<std::vector<double>>& q_traj,
std::vector<double>& t_traj,
double dt,
double v_tcp_max, // m/s
double a_tcp_max, // m/s^2
double j_tcp_max, // m/s^3
const std::vector<double>& qd_max, // rad/s, size=chain_dof
bool is_tcp = true);
void setMaxIters(int iters) { max_iters_ = iters; } void setMaxIters(int iters) { max_iters_ = iters; }
void setDamping(double d) { damping_ = d; } void setDamping(double d) { damping_ = d; }
void setEps(double pos_eps, double rot_eps) void setEps(double pos_eps, double rot_eps) { pos_eps_ = pos_eps; rot_eps_ = rot_eps; }
{
pos_eps_ = pos_eps;
rot_eps_ = rot_eps;
}
using IKSolver::setTcpTransform; using IKSolver::setTcpTransform;
using IKSolver::setArmBaseTransform; using IKSolver::setArmBaseTransform;
@ -71,13 +65,11 @@ private:
Eigen::MatrixXd dampedPseudoInverse(const Eigen::MatrixXd &J, double lambda); Eigen::MatrixXd dampedPseudoInverse(const Eigen::MatrixXd &J, double lambda);
private: private:
// 配置
std::string urdf_path_; std::string urdf_path_;
std::string base_frame_name_; std::string base_frame_name_;
std::string flange_frame_name_; std::string flange_frame_name_;
std::string tcp_frame_name_; std::string tcp_frame_name_;
// Pinocchio 模型
pinocchio::Model model_; pinocchio::Model model_;
std::unique_ptr<pinocchio::Data> data_; std::unique_ptr<pinocchio::Data> data_;
@ -86,14 +78,19 @@ private:
pinocchio::FrameIndex tcp_frame_id_{(pinocchio::FrameIndex)(-1)}; pinocchio::FrameIndex tcp_frame_id_{(pinocchio::FrameIndex)(-1)};
bool has_tcp_{false}; bool has_tcp_{false};
// 本链在整机 q 向量中的起始 index 和 DOF 数 // chain range in q and v
int chain_q_start_{0}; int chain_q_start_{0};
int chain_dof_{0}; int chain_dof_{0};
int chain_v_start_{0};
int chain_v_dof_{0};
// 本链的关节限位(从 Pinocchio 模型中截取)
Eigen::VectorXd q_lower_chain_; Eigen::VectorXd q_lower_chain_;
Eigen::VectorXd q_upper_chain_; Eigen::VectorXd q_upper_chain_;
// base pose cache (PELVIS_S fixed)
bool base_pose_cached_{false};
pinocchio::SE3 oM_base_cached_;
bool initialized_{false}; bool initialized_{false};
int max_iters_; int max_iters_;

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@ -84,109 +84,157 @@ public:
explicit DualArmViewer(const char *model_path) explicit DualArmViewer(const char *model_path)
: MuJocoViewer(model_path), : MuJocoViewer(model_path),
q_cmd_(7, 0.0) { // 初始 7 维全 0 q_cmd_(7, 0.0) {}
}
// 更新右臂 7 关节的目标角度rad
// 顺序:
// [R_SHOULDER_P, R_SHOULDER_R, R_SHOULDER_Y,
// R_ELBOW_R, R_WRIST_P, R_WRIST_Y, R_WRIST_R]
void moveJ(const Vec7 &q_target) { void moveJ(const Vec7 &q_target) {
std::lock_guard<std::mutex> lk(mtx_); std::lock_guard<std::mutex> lk(mtx_);
q_cmd_ = q_target; // 只更新目标,不直接改 d->ctrl q_cmd_ = q_target;
traj_active_ = false;
}
// 设置整条轨迹t 单调递增q.size == t.size
void setTrajectory(std::vector<double> t, std::vector<Vec7> q) {
std::lock_guard<std::mutex> lk(mtx_);
traj_t_ = std::move(t);
traj_q_ = std::move(q);
traj_active_ = false;
traj_done_ = false;
traj_idx_ = 0;
traj_t0_sim_ = -1.0;
}
void startTrajectory() {
std::lock_guard<std::mutex> lk(mtx_);
traj_active_ = true;
traj_done_ = false;
traj_idx_ = 0;
traj_t0_sim_ = -1.0;
}
bool trajDone() const {
std::lock_guard<std::mutex> lk(mtx_);
return traj_done_;
} }
protected: protected:
// 只在第一次进控制循环时调用
void initOnce(mjModel *m, mjData *d) override { void initOnce(mjModel *m, mjData *d) override {
UNUSED_VARIABLE(d); UNUSED_VARIABLE(d);
// actuator 名(已经有)
const char *act_names[7] = { const char *act_names[7] = {
"R_SHOULDER_P_pos", "R_SHOULDER_P_pos","R_SHOULDER_R_pos","R_SHOULDER_Y_pos",
"R_SHOULDER_R_pos", "R_ELBOW_R_pos","R_WRIST_P_pos","R_WRIST_Y_pos","R_WRIST_R_pos"
"R_SHOULDER_Y_pos",
"R_ELBOW_R_pos",
"R_WRIST_P_pos",
"R_WRIST_Y_pos",
"R_WRIST_R_pos"
};
// 对应的 joint 名
const char *jnt_names[7] = {
"R_SHOULDER_P",
"R_SHOULDER_R",
"R_SHOULDER_Y",
"R_ELBOW_R",
"R_WRIST_P",
"R_WRIST_Y",
"R_WRIST_R"
}; };
for (int i = 0; i < 7; ++i) { for (int i = 0; i < 7; ++i) {
// 1. 保存 actuator id
int act_id = mj_name2id(m, mjOBJ_ACTUATOR, act_names[i]); int act_id = mj_name2id(m, mjOBJ_ACTUATOR, act_names[i]);
right_act_ids_[i] = act_id; right_act_ids_[i] = act_id;
if (act_id < 0) { if (act_id < 0) {
std::cerr << "[DualArmViewer] actuator not found: " std::cerr << "[DualArmViewer] actuator not found: " << act_names[i] << "\n";
<< act_names[i] << std::endl;
}
// 2. 保存 joint id
int jnt_id = mj_name2id(m, mjOBJ_JOINT, jnt_names[i]);
right_jnt_ids_[i] = jnt_id;
if (jnt_id < 0) {
std::cerr << "[DualArmViewer] joint not found: "
<< jnt_names[i] << std::endl;
} }
} }
act_ids_inited_ = true; act_ids_inited_ = true;
} }
// 每个 mj_step 前会被 physics 线程调用 static inline double clamp(double x, double lo, double hi) {
return std::max(lo, std::min(hi, x));
}
// 线性插值采样(调用前已持锁)
Vec7 sampleTrajUnlocked(double t) {
Vec7 out = q_cmd_;
if (traj_t_.empty() || traj_q_.empty()) return out;
if (traj_t_.size() != traj_q_.size()) return out;
const double T = traj_t_.back();
if (t <= 0.0) return traj_q_.front();
if (t >= T) return traj_q_.back();
// 利用 traj_idx_ 单调推进O(1) 均摊
while (traj_idx_ + 1 < traj_t_.size() && traj_t_[traj_idx_ + 1] < t) {
traj_idx_++;
}
size_t i = traj_idx_;
size_t j = i + 1;
if (j >= traj_t_.size()) return traj_q_.back();
double t0 = traj_t_[i], t1 = traj_t_[j];
double u = (t - t0) / std::max(1e-12, (t1 - t0));
out.resize(7);
for (int k = 0; k < 7; ++k) {
out[k] = (1.0 - u) * traj_q_[i][k] + u * traj_q_[j][k];
}
return out;
}
void controlCallback(mjModel *m, mjData *d) override { void controlCallback(mjModel *m, mjData *d) override {
if (!act_ids_inited_) return; if (!act_ids_inited_) return;
Vec7 q_local(7, 0.0); Vec7 q_local(7, 0.0);
{ {
std::lock_guard<std::mutex> lk(mtx_); std::lock_guard<std::mutex> lk(mtx_);
q_local = q_cmd_; // 拷贝一份当前目标,避免长时间持锁
if (traj_active_ && !traj_t_.empty()) {
if (traj_t0_sim_ < 0.0) traj_t0_sim_ = d->time; // 用仿真时间对齐
const double t = d->time - traj_t0_sim_;
q_local = sampleTrajUnlocked(t);
if (t >= traj_t_.back()) {
traj_active_ = false;
traj_done_ = true;
q_cmd_ = traj_q_.back(); // 结束后保持终点
}
} else {
q_local = q_cmd_;
}
} }
// 写 ctrl同时按 ctrlrange clamp 一下更稳)
for (int i = 0; i < 7; ++i) { for (int i = 0; i < 7; ++i) {
int act_id = right_act_ids_[i]; int act_id = right_act_ids_[i];
if (act_id < 0) continue; if (act_id < 0) continue;
d->ctrl[act_id] = q_local[i];
}
// // 示例:读取第 5 个关节R_WRIST_P的实际角度并打印 double lo = m->actuator_ctrlrange[2*act_id + 0];
// int jnt_id = right_jnt_ids_[4]; double hi = m->actuator_ctrlrange[2*act_id + 1];
// if (jnt_id >= 0) { d->ctrl[act_id] = clamp(q_local[i], lo, hi);
// int qpos_adr = m->jnt_qposadr[jnt_id]; }
// double q_actual = d->qpos[qpos_adr];
// std::cout << "cmd: " << q_local[4]
// << " act: " << q_actual << std::endl;
// }
} }
void onReset(mjModel *m, mjData *d) override { void onReset(mjModel *m, mjData *d) override {
UNUSED_VARIABLE(m); UNUSED_VARIABLE(m);
UNUSED_VARIABLE(d); UNUSED_VARIABLE(d);
std::lock_guard<std::mutex> lk(mtx_); std::lock_guard<std::mutex> lk(mtx_);
q_cmd_.assign(7, 0.0); // reset 时把目标清零,保持 7 维 q_cmd_.assign(7, 0.0);
traj_active_ = false;
traj_done_ = false;
traj_idx_ = 0;
traj_t0_sim_ = -1.0;
traj_t_.clear();
traj_q_.clear();
} }
private: private:
std::array<int, 7> right_act_ids_{}; // 右臂 7 个 actuator id std::array<int, 7> right_act_ids_{};
std::array<int, 7> right_jnt_ids_{}; // 右臂 7 个 joint id新加
bool act_ids_inited_{false}; bool act_ids_inited_{false};
Vec7 q_cmd_; // 当前命令目标角(始终 7 维) mutable std::mutex mtx_;
mutable std::mutex mtx_; // 保护 q_cmd_ Vec7 q_cmd_;
// trajectory
std::vector<double> traj_t_;
std::vector<Vec7> traj_q_;
bool traj_active_{false};
bool traj_done_{false};
size_t traj_idx_{0};
double traj_t0_sim_{-1.0};
}; };
// TEST(SRS_IK_TEST, SRS_IK_SLOVER_TEST) { // TEST(SRS_IK_TEST, SRS_IK_SLOVER_TEST) {
// using std::cout; // using std::cout;
// using std::endl; // using std::endl;
@ -878,3 +926,239 @@ TEST(SRS_IK_TEST, TR_TEST) {
} }
#include <fstream>
#include <iomanip>
// 计算 TCP 位置/速度/加速度(用中心差分,端点用前向/后向差分)
static bool build_tcp_pva(cmvr::PinocchioDlsIKSolver& solver,
const std::vector<double>& t,
const std::vector<std::vector<double>>& q,
std::vector<Eigen::Vector3d>& p,
std::vector<Eigen::Vector3d>& v,
std::vector<Eigen::Vector3d>& a,
bool is_tcp=true)
{
const size_t N = std::min(t.size(), q.size());
if (N < 3) return false;
p.assign(N, Eigen::Vector3d::Zero());
v.assign(N, Eigen::Vector3d::Zero());
a.assign(N, Eigen::Vector3d::Zero());
// p(t)
for (size_t i = 0; i < N; ++i) {
Eigen::Matrix4d T;
if (!solver.fk(q[i], T, is_tcp)) return false;
p[i] = T.block<3,1>(0,3);
}
auto safe_dt = [&](double dt) { return (dt > 1e-9) ? dt : 1e-9; };
// v(t) : 中心差分
{
double dt0 = safe_dt(t[1] - t[0]);
v[0] = (p[1] - p[0]) / dt0;
for (size_t i = 1; i + 1 < N; ++i) {
double dt = safe_dt(t[i+1] - t[i-1]);
v[i] = (p[i+1] - p[i-1]) / dt;
}
double dtn = safe_dt(t[N-1] - t[N-2]);
v[N-1] = (p[N-1] - p[N-2]) / dtn;
}
// a(t) : 对 v 再中心差分
{
double dt0 = safe_dt(t[1] - t[0]);
a[0] = (v[1] - v[0]) / dt0;
for (size_t i = 1; i + 1 < N; ++i) {
double dt = safe_dt(t[i+1] - t[i-1]);
a[i] = (v[i+1] - v[i-1]) / dt;
}
double dtn = safe_dt(t[N-1] - t[N-2]);
a[N-1] = (v[N-1] - v[N-2]) / dtn;
}
return true;
}
static void write_tcp_pva_csv(const std::string& path,
const std::vector<double>& t,
const std::vector<Eigen::Vector3d>& p,
const std::vector<Eigen::Vector3d>& v,
const std::vector<Eigen::Vector3d>& a)
{
const size_t N = std::min({t.size(), p.size(), v.size(), a.size()});
std::ofstream os(path);
os << "t,px,py,pz,vx,vy,vz,ax,ay,az,speed,acc\n";
for (size_t i = 0; i < N; ++i) {
os << std::setprecision(15) << t[i] << ","
<< p[i].x() << "," << p[i].y() << "," << p[i].z() << ","
<< v[i].x() << "," << v[i].y() << "," << v[i].z() << ","
<< a[i].x() << "," << a[i].y() << "," << a[i].z() << ","
<< v[i].norm() << "," << a[i].norm()
<< "\n";
}
}
static void write_qtraj_csv(const std::string& path,
const std::vector<double>& t,
const std::vector<std::vector<double>>& q) {
std::ofstream os(path);
os << "t,q1,q2,q3,q4,q5,q6,q7\n";
for (size_t i = 0; i < t.size() && i < q.size(); ++i) {
os << std::setprecision(15) << t[i];
for (int k = 0; k < 7; ++k) os << "," << q[i][k];
os << "\n";
}
}
static void print_tcp_speed_stats(cmvr::PinocchioDlsIKSolver& solver,
const std::vector<double>& t,
const std::vector<std::vector<double>>& q,
bool is_tcp=true) {
if (t.size() < 3 || q.size() < 3) return;
bool has_prev = false;
Eigen::Vector3d p_prev = Eigen::Vector3d::Zero();
double t_prev = 0.0;
double vmin = 1e100, vmax = 0.0, vsum = 0.0;
size_t cnt = 0;
for (size_t i = 0; i < q.size(); ++i) {
Eigen::Matrix4d T;
if (!solver.fk(q[i], T, is_tcp)) continue;
Eigen::Vector3d p = T.block<3,1>(0,3);
if (has_prev) {
double dt = t[i] - t_prev;
if (dt > 1e-9) {
double v = (p - p_prev).norm() / dt;
vmin = std::min(vmin, v);
vmax = std::max(vmax, v);
vsum += v;
cnt++;
// 想看过程就降低频率打印
if ((cnt % 1) == 0) {
std::cerr << "[tcp] i=" << i << " v=" << v << " m/s\n";
}
}
}
p_prev = p;
t_prev = t[i];
has_prev = true;
}
if (cnt) {
std::cerr << "TCP speed stats (from t_traj): "
<< "min=" << vmin
<< " avg=" << (vsum / (double)cnt)
<< " max=" << vmax
<< " [m/s]\n";
}
}
TEST(SRS_IK_TEST, MOVEL_S_CURVE_LOCAL_RUN_MUJOCO) {
// 让输出不被缓冲gtest/ctest 环境下更容易看到)
std::cerr.setf(std::ios::unitbuf);
const auto project_root = find_project_root();
const auto model_path = (project_root / "model/xiaoyan_description/dual_arm.xml").string();
const auto csv_path = (project_root / "data/ik_movel_scurve.csv").string();
const auto tcp_csv_path = (project_root / "data/ik_movel_scurve_tcp.csv").string();
DualArmViewer viewer(model_path.c_str());
std::thread ctrl_thread([&viewer, &csv_path,&tcp_csv_path]() {
using namespace std::chrono_literals;
std::this_thread::sleep_for(3s);
cmvr::PinocchioDlsIKSolver solver(
"/home/lgv/cmvr/0-workspace/cmvr-es/model/xiaoyan_description/dual_arm.urdf",
"PELVIS_S",
"R_WRIST_R_S",
"R_FINGER_TIP_FIXED"
);
LawbaIKSolver solver_1;
if (!solver.init()) return;
// 起点关节
// std::vector<double> q_start = {-0.424743, 0.759386, 1.80129, 2.03728, -1.34668, 0.0560845, -0.26};
std::vector<double> q_start = {0.25, 1.00, M_PI / 2, M_PI / 2, -M_PI / 2, 0, 0};
// std::vector<double> q_start = {0, 1.00, M_PI / 2, M_PI / 2, -M_PI / 2, 0, 0};
// 起点位姿base下
Eigen::Matrix4d T0;
if (!solver_1.fk(q_start, T0, true)) return;
std::cout << T0 << std::endl;
// 目标位姿base X 方向走 0.25m,姿态保持起点
Eigen::Matrix4d Tg = T0;
Tg(2,3) += 0.3;
Eigen::Vector3d dp_check = Tg.block<3,1>(0,3) - T0.block<3,1>(0,3);
std::cerr << "dp(base)=" << dp_check.transpose() << "\n";
// 轨迹生成参数(生成 dt 不必极小1ms~2ms 足够;真正平滑靠 S 曲线 + MuJoCo 伺服滤波)
const double dt_gen = 0.002;
const double v_tcp = 0.33;
const double a_tcp = 10.0;
const double j_tcp = 10.00;
std::vector<double> qd_max(7, 3.0);
std::vector<std::vector<double>> q_traj;
std::vector<double> t_traj;
if (!solver.moveL_SCurveLocal(Tg, q_start, q_traj, t_traj,
dt_gen, v_tcp, a_tcp, j_tcp, qd_max, true)) {
std::cerr << "moveL_SCurveLocal failed\n";
return;
}
std::cerr << "traj gen samples=" << q_traj.size()
<< " T=" << (t_traj.empty()?0.0:t_traj.back()) << "s\n";
write_qtraj_csv(csv_path, t_traj, q_traj);
std::vector<Eigen::Vector3d> p, v, a;
if (build_tcp_pva(solver, t_traj, q_traj, p, v, a, true)) {
write_tcp_pva_csv(tcp_csv_path, t_traj, p, v, a);
std::cerr << "saved tcp csv: " << tcp_csv_path << "\n";
} else {
std::cerr << "build_tcp_pva failed\n";
}
std::cerr << "saved csv: " << csv_path << "\n";
// 正确的 TCP 速度统计(用 t_traj
print_tcp_speed_stats(solver, t_traj, q_traj, true);
// 把轨迹交给 viewer在 controlCallback 内用 d->time 插值执行(不会线程抖)
std::vector<DualArmViewer::Vec7> q7;
q7.reserve(q_traj.size());
for (auto& qi : q_traj) q7.push_back(qi);
viewer.setTrajectory(t_traj, std::move(q7));
viewer.startTrajectory();
// 可选:等轨迹跑完再退出线程
while (!viewer.trajDone()) {
std::this_thread::sleep_for(1ms);
}
std::cerr << "trajectory finished in MuJoCo.\n";
});
viewer.run();
ctrl_thread.join();
}

640
data/ik_movel_scurve.csv Normal file
View File

@ -0,0 +1,640 @@
t,q1,q2,q3,q4,q5,q6,q7
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1.136,1.22919864272156,0.839722632943104,1.37171252058009,1.54191195145155,-1.50096536575721,-0.749821273615725,0.400686642056195
1.138,1.23008417029769,0.839818500503366,1.37139313474952,1.54143645104638,-1.50117815130729,-0.750029364588398,0.401040732808348
1.14,1.23094391320627,0.839913270685399,1.37108450059649,1.54097400828463,-1.50138778550578,-0.750231024498235,0.401386541469231
1.142,1.23177824391594,0.840006934903372,1.37078646640136,1.54052447357482,-1.50159429243226,-0.750426382075776,0.401724183318008
1.144,1.23258753524855,0.840099485898517,1.37049887988353,1.54008769495222,-1.50179769719892,-0.750615564047015,0.402053773831911
1.146,1.23337216036179,0.840190917702242,1.37022158822752,1.53966351814716,-1.50199802592172,-0.750798695189666,0.40237542867953
1.148,1.2341324927323,0.840281225599667,1.36995443810821,1.53925178665236,-1.50219530569206,-0.750975898388754,0.402689263714346
1.15,1.23486890613961,0.840370406093588,1.36969727571513,1.53885234178932,-1.50238956454901,-0.751147294691512,0.40299539496851
1.152,1.23558177465066,0.840458456868881,1.36944994677606,1.53846502277379,-1.50258083145211,-0.751313003361583,0.403293938646856
1.154,1.23627147260489,0.840545376757358,1.36921229657973,1.53808966678027,-1.50276913625468,-0.751473141932506,0.403585011121134
1.156,1.23693837460002,0.840631165703068,1.36898416999777,1.53772610900556,-1.50295450967768,-0.751627826260497,0.403868728924473
1.158,1.23758285547828,0.840715824728065,1.36876541150596,1.53737418273133,-1.50313698328407,-0.751777170576496,0.404145208746049
1.16,1.23820529031331,0.840799355898643,1.3685558652047,1.53703371938581,-1.50331658945374,-0.751921287537487,0.404414567425969
1.162,1.23880605439746,0.840881762292042,1.3683553748388,1.5367045486044,-1.50349336135891,-0.752060288277077,0.404676921950345
1.164,1.23938552322968,0.840963047963643,1.36816378381664,1.53638649828942,-1.50366733294008,-0.752194282455327,0.404932389446572
1.166,1.23994407250386,0.841043217914637,1.36798093522856,1.53607939466884,-1.50383853888239,-0.75232337830783,0.405181087178785
1.168,1.24048207809762,0.841122278060199,1.36780667186478,1.53578306235405,-1.50400701459261,-0.752447682694025,0.405423132543504
1.17,1.24099991606156,0.841200235198151,1.36764083623254,1.53549732439665,-1.50417279617653,-0.752567301144752,0.405658643065447
1.172,1.24149796260894,0.841277096978132,1.36748327057278,1.5352220023443,-1.50433592041683,-0.752682337909019,0.405887736393522
1.174,1.24197659410575,0.841352871871278,1.3673338168762,1.53495691629552,-1.50449642475149,-0.752792896000004,0.406110530296971
1.176,1.24243618706121,0.84142756914041,1.36719231689869,1.53470188495356,-1.50465434725262,-0.752899077240259,0.406327142661678
1.178,1.24287711811859,0.841501198810742,1.3670586121764,1.53445672567929,-1.50480972660577,-0.753000982306131,0.40653769148663
1.18,1.24329976404644,0.841573771641116,1.3669325440401,1.53422125454306,-1.50496260208973,-0.753098710771384,0.406742294880522
1.182,1.24370450173015,0.841645299095757,1.36681395362915,1.53399528637561,-1.50511301355677,-0.753192361150013,0.406941071058498
1.184,1.24409170816384,0.841715793316559,1.36670268190497,1.53377863481795,-1.50526100141329,-0.753282030938258,0.407134138339041
1.186,1.2444617604426,0.841785267095912,1.36659856966404,1.53357111237027,-1.50540660660101,-0.753367816655808,0.407321615140978
1.188,1.24481503575497,0.841853733850056,1.36650145755036,1.53337253043985,-1.50554987057857,-0.753449813886178,0.407503619980626
1.19,1.24515191137579,0.841921207592991,1.36641118606762,1.53318269938794,-1.50569083530348,-0.753528117316275,0.407680271469047
1.192,1.24547276465931,0.841987702910916,1.36632759559081,1.53300142857566,-1.50582954321467,-0.753602820775133,0.407851688309426
1.194,1.24577797303256,0.84205323493723,1.3662505263775,1.53282852640891,-1.50596603721534,-0.753674017271826,0.408017989294562
1.196,1.24606791398898,0.842117819328075,1.36617981857863,1.53266380038222,-1.50610036065629,-0.753741799032538,0.408179293304461
1.198,1.24634296508234,0.842181472238438,1.36611531224901,1.5325070571216,-1.5062325573197,-0.753806257536802,0.408335719304042
1.2,1.24660350392086,0.842244210298807,1.36605684735739,1.53235810242644,-1.50636267140326,-0.753867483552901,0.40848738634093
1.202,1.2468499081616,0.842306050592389,1.36600426379612,1.53221674131033,-1.5064907475048,-0.753925567172422,0.408634413543361
1.204,1.24708255550504,0.842367010632886,1.36595740139057,1.53208277804085,-1.50661683060729,-0.75398059784396,0.408776920118163
1.206,1.24730182368995,0.842427108342838,1.36591609990804,1.53195601617838,-1.50674096606424,-0.754032664405981,0.408915025348839
1.208,1.24750809048836,0.842486362032532,1.3658801990665,1.53183625861389,-1.50686319958554,-0.754081855118823,0.409048848593727
1.21,1.24770173370084,0.842544790379478,1.36584953854289,1.53172330760569,-1.50698357722372,-0.754128257695848,0.409178509284243
1.212,1.24788313115192,0.842602412408456,1.36582395798112,1.53161696481513,-1.50710214536056,-0.754171959333733,0.409304126923211
1.214,1.24805266068571,0.842659247472135,1.36580329699978,1.53151703134132,-1.50721895069413,-0.754213046741899,0.409425821083258
1.216,1.24821070016173,0.842715315232263,1.36578739519954,1.53142330775479,-1.50733404022628,-0.754251606171082,0.409543711405286
1.218,1.24835762745086,0.842770635641438,1.36577609217025,1.53133559413011,-1.50744746125043,-0.754287723441032,0.40965791759702
1.22,1.24849382043154,0.84282522892545,1.36576922749773,1.53125369007755,-1.50755926133983,-0.754321483967352,0.40976855943162
1.222,1.24861965698609,0.842879115566204,1.3657666407703,1.53117739477359,-1.50766948833617,-0.754352972787462,0.409875756746351
1.224,1.24873551499719,0.842932316285219,1.36576817158503,1.53110650699049,-1.50777819033864,-0.754382274585697,0.409979629441333
1.226,1.24884177234458,0.842984852027713,1.36577365955371,1.5310408251248,-1.5078854156933,-0.754409473717524,0.410080297478335
1.228,1.2489388069018,0.843036743947263,1.36578294430856,1.5309801472248,-1.5079912129829,-0.754434654232895,0.41017788087964
1.23,1.24902699653322,0.843088013391052,1.36579586550765,1.53092427101694,-1.5080956310171,-0.754457899898719,0.410272499726963
1.232,1.24910671909113,0.843138681885699,1.36581226284012,1.53087299393125,-1.50819871882297,-0.754479294220455,0.41036427416042
1.234,1.24917835241298,0.843188771123668,1.36583197603112,1.53082611312563,-1.50830052563602,-0.754498920462826,0.410453324377559
1.236,1.24924227431881,0.843238302950269,1.36585484484644,1.53078342550923,-1.50840110089151,-0.75451686166966,0.410539770632438
1.238,1.24929886260878,0.84328729935124,1.36588070909702,1.53074472776468,-1.50850049421619,-0.754533200682845,0.410623733234751
1.24,1.24934849506082,0.843335782440916,1.3659094086431,1.53070981636931,-1.5085987554204,-0.754548020160395,0.410705332549013
1.242,1.2493915494285,0.843383774450984,1.36594078339824,1.53067848761535,-1.50869593449056,-0.75456140259365,0.410784688993778
1.244,1.24942840343891,0.843431297719827,1.36597467333298,1.53065053762905,-1.50879208158206,-0.754573430323575,0.41086192304092
1.246,1.2494594347908,0.843478374682451,1.36601091847839,1.53062576238879,-1.50888724701248,-0.754584185556186,0.410937155214947
1.248,1.24948502115274,0.843525027861008,1.36604935892932,1.53060395774215,-1.50898148125526,-0.754593750377081,0.411010506092364
1.25,1.24950554016147,0.843571279855894,1.36608983484744,1.53058491942187,-1.50907483493368,-0.754602206765096,0.411082096301083
1.252,1.24952136942035,0.84361715333745,1.36613218646405,1.53056844306085,-1.50916735881527,-0.754609636605061,0.411152046519869
1.254,1.24953288649799,0.843662671038239,1.3661762540827,1.53055432420606,-1.50925910380655,-0.754616121699682,0.411220477477834
1.256,1.24954046892688,0.843707855745919,1.36622187808155,1.53054235833139,-1.50935012094823,-0.754621743780525,0.411287509953967
1.258,1.24954449420231,0.8437527302967,1.36626889891548,1.53053234084951,-1.50944046141066,-0.754626584518116,0.411353264776711
1.26,1.24954533978126,0.843797317569393,1.36631715711812,1.53052406712261,-1.5095301764898,-0.754630725531152,0.411417862823571
1.262,1.24954338308151,0.843841640480046,1.36636649330347,1.53051733247218,-1.50961931760349,-0.754634248394821,0.411481425020772
1.264,1.24953900148085,0.843885721977166,1.36641674816747,1.53051193218766,-1.50970793628806,-0.754637234648237,0.411544072342946
1.266,1.24953257231636,0.843929585037538,1.36646776248926,1.53050766153409,-1.50979608419544,-0.75463976580098,0.411605925812866
1.268,1.24952447288388,0.843973252662619,1.36651937713228,1.5305043157587,-1.50988381309052,-0.75464192333875,0.411667106501208
1.27,1.24951508043758,0.844016747875533,1.36657143304511,1.53050169009648,-1.50997117484896,-0.754643788728126,0.411727735526362
1.272,1.2495047721896,0.844060093718649,1.36662377126211,1.53049957977467,-1.51005822145539,-0.754645443420441,0.411787934054275
1.274,1.2494939253099,0.844103313251744,1.36667623290391,1.53049778001618,-1.51014500500192,-0.75464696885476,0.411847823298323
1.276,1.2494939253099,0.844103313251744,1.36667623290391,1.53049778001618,-1.51014500500192,-0.75464696885476,0.411847823298323
1 t q1 q2 q3 q4 q5 q6 q7
2 0 0.25 1 1.5707963267949 1.5707963267949 -1.5707963267949 0 0
3 0.002 0.25 1 1.5707963267949 1.5707963267949 -1.5707963267949 7.81764306459599e-21 -4.2819706588909e-20
4 0.004 0.250000047042195 0.999999964305901 1.57079634963772 1.57079641818398 -1.5707962911008 -1.30973721143821e-07 4.82598248141182e-08
5 0.006 0.250000235211076 0.99999982152951 1.57079644100897 1.57079678374021 -1.57079614832442 -6.54868594246034e-07 2.4129912422208e-07
6 0.008 0.250000658591965 0.999999500282668 1.57079664659403 1.5707976062408 -1.57079582707771 -1.83363195576805e-06 6.75637549350334e-07
7 0.01 0.250001411272736 0.999998929177322 1.57079701207756 1.57079906846036 -1.570795255973 -3.92921085355073e-06 1.4477947554909e-06
8 0.012 0.25000258734653 0.99999803682564 1.57079758314276 1.57080135316815 -1.57079436362343 -7.203551738256e-06 2.65429040651898e-06
9 0.014 0.250004280915501 0.999996751840161 1.57079840547028 1.57080464312421 -1.57079307864354 -1.19186000405119e-05 4.39164418087522e-06
10 0.016 0.25000658609555 0.999995002834 1.57079952473695 1.5708091210746 -1.57079132964995 -1.83362996337661e-05 6.75637577908229e-06
11 0.018 0.250009597022081 0.99999271842108 1.57080098661413 1.57081496974547 -1.57078904526229 -2.67185921828435e-05 9.84500493277263e-06
12 0.02 0.250013407856765 0.999989827216416 1.5708028367658 1.57082237183621 -1.57078615410418 -3.73274163782182e-05 1.37540514152097e-05
13 0.022 0.250018112795308 0.999986257836435 1.57080512084645 1.57083151001151 -1.57078258480449 -5.04247070559875e-05 1.85800350533061e-05
14 0.024 0.250023806076234 0.999981938899343 1.57080788449854 1.57084256689243 -1.57077826599863 -6.62723942035615e-05 2.44194757411372e-05
15 0.026 0.250030581990672 0.999976799025529 1.57081117334981 1.57085572504638 -1.57077312633007 -8.51324018510532e-05 3.13688934549818e-05
16 0.028 0.25003853489316 0.999970766838012 1.57081503301023 1.57087116697617 -1.57076709445198 -0.00010726664684838 3.95248082699263e-05
17 0.03 0.250047759213451 0.999963770962927 1.57081950906868 1.57088907510791 -1.57076009902904 -0.000132937037528068 4.89837403780863e-05
18 0.032 0.250058349469331 0.999955740030058 1.57082464708937 1.570909631778 -1.57075206873944 -0.000162405472253746 5.98422101085266e-05
19 0.034 0.250070400280452 0.99994660267341 1.57083049260794 1.57093301921902 -1.57074293227694 -0.000195933837854348 7.21967379489743e-05
20 0.036 0.250084006383162 0.999936287531815 1.5708370911273 1.57095941954459 -1.57073261835316 -0.000233784007943978 8.61438445694474e-05
21 0.038 0.250099262646364 0.999924723249592 1.57084448811314 1.57098901473325 -1.57072105570001 -0.000276217841127471 0.000101780050847941
22 0.04 0.250116264088365 0.999911838477235 1.57085272898924 1.57102198661129 -1.57070817307229 -0.000323497179091603 0.000119201877898348
23 0.042 0.250135105894751 0.999897561872151 1.57086185913237 1.5710585168345 -1.57069389925037 -0.000375883844581949 0.000138505847100808
24 0.044 0.250155883437263 0.999881822099435 1.57087192386701 1.571098786869 -1.57067816304314 -0.00043363963926537 0.00015978848013472
25 0.046 0.250178692293689 0.999864547832684 1.5708829684597 1.57114297797095 -1.570660893291 -0.000497026341478108 0.000183146299014672
26 0.048 0.250203628268763 0.999845667754853 1.57089503811314 1.57119127116526 -1.57064201886908 -0.000566305703859452 0.000208675826129587
27 0.05 0.250230787416081 0.999825110559153 1.57090817795997 1.57124384722331 -1.57062146869062 -0.000641739450870957 0.000236473584285414
28 0.052 0.250260266061023 0.999802804949985 1.57092243305629 1.5713008866396 -1.57059917171042 -0.000723589276201169 0.000266636096751719
29 0.054 0.250292160824688 0.999778679643914 1.57093784837481 1.57136256960737 -1.57057505692855 -0.000812116840055811 0.000299259887312595
30 0.056 0.250326568648845 0.999752663370687 1.57095446879778 1.57142907599327 -1.57054905339414 -0.000907583766333395 0.000334441480322304
31 0.058 0.250363586821893 0.999724684874287 1.57097233910957 1.57150058531089 -1.57052109020937 -0.00101025163968617 0.000372277400766168
32 0.06 0.250403313005836 0.999694672914021 1.57099150398891 1.57157727669336 -1.5704910965336 -0.00112038200246638 0.000412864174327192
33 0.062 0.25044584526427 0.999662556265657 1.57101200800096 1.5716593288649 -1.57045900158762 -0.00123823635155769 0.000456298327459026
34 0.064 0.250491282091387 0.999628263722593 1.57103389558887 1.57174692011132 -1.57042473465814 -0.00136407613509177 0.000502676387465836
35 0.066 0.250539722441992 0.999591724097063 1.57105721106516 1.57184022824955 -1.57038822510237 -0.00149816274904988 0.000552094882589778
36 0.068 0.250591265762532 0.999552866221383 1.57108199860279 1.57193943059608 -1.57034940235275 -0.00164075753374931 0.000604650342106746
37 0.07 0.250646012023148 0.999511618949238 1.5711083022258 1.57204470393445 -1.57030819592188 -0.00179212177021461 0.000660439296431168
38 0.0720000000000001 0.250704061750741 0.999467911156996 1.57113616579972 1.57215622448168 -1.57026453540759 -0.00195251667643345 0.000719558277230644
39 0.0740000000000001 0.250765516063049 0.999421671745072 1.57116563302162 1.57227416785368 -1.57021835049818 -0.00212220340349683 0.000782103817551267
40 0.0760000000000001 0.250830476703752 0.999372829639314 1.57119674740979 1.57239870902967 -1.57016957097776 -0.00230144303162356 0.000848172451954547
41 0.0780000000000001 0.25089904607859 0.999321313792438 1.57122955229316 1.57253002231557 -1.57011812673182 -0.00249049656606878 0.000917860716666876
42 0.0800000000000001 0.2509713272925 0.999267053185489 1.57126409080029 1.57266828130632 -1.57006394775295 -0.00268962493291619 0.000991265149742551
43 0.0820000000000001 0.251047424187779 0.999209976829343 1.57130040584808 1.57281365884732 -1.57000696414665 -0.00289908897475372 0.00106848229124141
44 0.0840000000000001 0.251127441383262 0.999150013766239 1.57133854013004 1.57296632699468 -1.5699471061374 -0.00311914944623245 0.0011496086834222
45 0.0860000000000001 0.251211484314529 0.999087093071346 1.57137853610431 1.57312645697461 -1.56988430407483 -0.00335006700950822 0.00123474087095284
46 0.0880000000000001 0.251299659275128 0.99902114385437 1.57142043598122 1.57329421914172 -1.56981848844003 -0.00359210222956575 0.00132397540113883
47 0.0900000000000001 0.251392073458832 0.998952095261184 1.57146428171049 1.5734697829363 -1.56974958985209 -0.0038455155694246 0.00141740882417099
48 0.0920000000000001 0.251488835002912 0.998879876475496 1.57151011496812 1.57365331684066 -1.56967753907476 -0.00411056738522674 0.00151513769339408
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View File

@ -0,0 +1,640 @@
t,px,py,pz,vx,vy,vz,ax,ay,az,speed,acc
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1.254,0.559628949217528,-0.292938254089792,0.305714232731915,0.000180719396253304,2.39839453852752e-05,0.00220946220903795,-0.000179554704438089,-4.09896873387882e-05,-0.210001720672703,0.00221697045153634,0.210001801434041
1.256,0.559629310297105,-0.292938206203897,0.305718231652932,0.000180359750634462,2.39036413440807e-05,0.00180945931069209,-0.000179989891047061,-3.92988037944963e-05,-0.190001216093804,0.00181858297054843,0.190001305410993
1.258,0.559629670656531,-0.292938158475226,0.305721470569158,0.000179999436689115,2.38267501700973e-05,0.00144945734466273,-0.000180233369895255,-3.75791862905483e-05,-0.170000784616153,0.00146078544120237,0.170000884310554
1.26,0.559630030294852,-0.292938110896896,0.30572402948231,0.000179638817154881,2.37533245989185e-05,0.00112945617222748,-0.000180305784192036,-3.58355879692684e-05,-0.15000041864513,0.00114389928317185,0.150000531292657
1.262,0.559630389211799,-0.292938063461928,0.305725988393846,0.000179278213552347,2.36834078182202e-05,0.00084945567008221,-0.000180227693880042,-3.40727307479582e-05,-0.130000110541012,0.000868490942437065,0.130000239936886
1.264,0.559630747407706,-0.292938016163265,0.305727427304991,0.000178917906379361,2.36170336759267e-05,0.000609455730063435,-0.000180019631146333,-3.22952532771925e-05,-0.109999852723058,0.000635614402299049,0.110000004768843
1.266,0.559631104883425,-0.292937968993793,0.305728426216767,0.000178558135027762,2.35542268051114e-05,0.000409456259189977,-0.000179702114300184,-3.05078289020155e-05,-0.0899996376174659,0.000447316708132872,0.0899998221934505
1.268,0.559631461640246,-0.292937921946358,0.305729065130028,0.00017819909792216,2.34950023603186e-05,0.000249457179593571,-0.000179295571445248,-2.87150893341081e-05,-0.0699994576434936,0.000307466775582276,0.0699996931553385
1.27,0.559631817679817,-0.292937875013784,0.305729424045485,0.000177840952741981,2.3439366447775e-05,0.000129458428616003,-0.000178820402929602,-2.69215691406366e-05,-0.0499993052030522,0.000221215490215702,0.0499996322216009
1.272,0.559632173004057,-0.292937828188892,0.305729582963742,0.000177483816310442,2.33873160837561e-05,4.94599587813615e-05,-0.0222970491445262,-0.0029395683213973,-0.0299320085141163,0.000185724955588564,0.0374396126603723
1.274,0.559632527615082,-0.292937781464519,0.30572962188532,8.86527561638761e-05,1.16810931621858e-05,9.73039455953727e-06,-0.0443709540776104,-0.00584682902093902,-0.0123649896953404,8.99468714920069e-05,0.046431238897141
1.276,0.559632527615082,-0.292937781464519,0.30572962188532,0,0,0,-0.044326378081938,-0.00584054658109289,-0.00486519727976863,0,0.0449734357460034
1 t px py pz vx vy vz ax ay az speed acc
2 0 0.559809314390095 -0.292914056655931 0.00429163619695835 0 0 0 2.08166817117217e-10 -5.55111512312578e-11 0.00499999886285907 0 0.00499999886285907
3 0.002 0.559809314390095 -0.292914056655931 0.00429163619695835 4.16333634234434e-13 -1.11022302462516e-13 9.99999772571813e-06 -1.36696209906972e-09 1.10328413072125e-09 0.0124999965187694 9.99999772571814e-06 0.0124999965187696
4 0.004 0.559809314390096 -0.292914056655932 0.00429167619694926 -5.4678483962789e-12 4.413136522885e-12 4.99999860750777e-05 -1.20112253476634e-08 8.56953397132543e-09 0.0299999887414665 4.99999860750782e-05 0.0299999887414701
5 0.006 0.559809314390073 -0.292914056655914 0.00429183619690265 -4.76285677564192e-11 3.41671135828392e-11 0.000129999952691584 -4.52901605108025e-08 3.16136006262013e-08 0.0499999728365355 0.000129999952691597 0.049999972836566
6 0.008 0.559809314389906 -0.292914056655795 0.00429219619676002 -1.86628490439489e-10 1.3086753902769e-10 0.00024999987742122 -1.1639300634414e-07 8.06472943981618e-08 0.0699999443184302 0.000249999877421324 0.0699999443185734
7 0.01 0.559809314389326 -0.29291405665539 0.00429283619641234 -5.13200593132979e-10 3.56756291175486e-10 0.000409999729965305 -2.40391040406962e-07 1.65985281075365e-07 0.0899998981573197 0.000409999729965781 0.0899998981577938
8 0.012 0.559809314387853 -0.292914056654368 0.00429383619567988 -1.14819265206734e-09 7.9480866332915e-10 0.000609999470050498 -4.32362479152459e-07 2.97990798703296e-07 0.109999829320771 0.000609999470052097 0.109999829322025
9 0.014 0.559809314384734 -0.292914056652211 0.00429527619429254 -2.24265050974282e-09 1.54871948598867e-09 0.00084999904724839 -7.07371661246014e-07 4.86940349153641e-07 0.129999732739056 0.000849999047252759 0.129999732741892
10 0.016 0.559809314378882 -0.292914056648173 0.00429723619186888 -3.97767929705139e-09 2.74257005994372e-09 0.00112999840100672 -1.08041353641397e-06 7.43113903745039e-07 0.14999960340576 0.00112999840101705 0.149999603411492
11 0.018 0.559809314368823 -0.292914056641241 0.00429979618789657 -6.56430465539869e-09 4.52117510096883e-09 0.00144999746087143 -1.56639978765582e-06 1.07681571992479e-06 0.169999436288453 0.00144999746089334 0.16999943629908
12 0.02 0.559809314352625 -0.292914056630088 0.00430303618171236 -1.02432784476747e-08 7.04983293964289e-09 0.00180999614616053 -2.18026985354669e-06 1.49824250228469e-06 0.189999226298323 0.00180999614620325 0.18999922631674
13 0.022 0.55980931432785 -0.292914056613041 0.00430703617248121 -1.52853840695854e-08 1.05141451101076e-08 0.00220999436606472 -2.93699092823729e-06 2.01759442486349e-06 0.209998968422019 0.0022099943661426 0.209998968452249
14 0.024 0.559809314291484 -0.292914056588032 0.00431187615917662 -2.19912421606238e-08 1.51202106390968e-08 0.00264999201984861 -3.85140530578808e-06 2.64506125335906e-06 0.229998657628842 0.00264999201998299 0.229998657676298
15 0.026 0.559809314239885 -0.29291405655256 0.0043176361405606 -3.06910052927378e-08 2.10943901235438e-08 0.00312998899658009 -4.93836221915344e-06 3.3907529561894e-06 0.249998288861207 0.00312998899680165 0.249998288932976
16 0.028 0.55980931416872 -0.292914056503654 0.00432439611516294 -4.17446910372376e-08 2.86832224638544e-08 0.00364998517529344 -6.2126831457121e-06 4.26476215453774e-06 0.269997857087547 0.00364998517564486 0.269997857192707
17 0.03 0.559809314072906 -0.292914056437828 0.00433223608126178 -5.55417378755862e-08 3.81534387416948e-08 0.00420998042493028 -7.68914099058547e-06 5.27718493903428e-06 0.289997357245073 0.00420998042546955 0.289997357395026
18 0.032 0.559809313946553 -0.292914056351041 0.00434123603686266 -7.25012549995795e-08 4.97919622199916e-08 0.00480997460427373 -9.38256417004622e-06 6.43800637800672e-06 0.309996784283138 0.00480997460507786 0.309996784491979
19 0.034 0.559809313782901 -0.29291405623866 0.00435147597967887 -9.30719945557711e-08 6.39054642537217e-08 0.00544996756206284 -1.13076562002767e-05 7.75718725365414e-06 0.329996133184053 0.00544996756323223 0.329996133468961
20 0.036 0.559809313574265 -0.292914056095419 0.00436303590711092 -1.17731879800686e-07 8.08207112346081e-08 0.00612995913700994 -1.34790512085203e-05 9.24469528706949e-06 0.349995398886762 0.00612995913867331 0.349995399268409
21 0.038 0.559809313311973 -0.292914055915377 0.00437599581622691 -1.46988199389852e-07 1.00884245402e-07 0.00684994915760989 -1.59114943443228e-05 1.0910331665892e-05 0.36999457630419 0.00684994915992984 0.369994576807185
22 0.04 0.559809312986312 -0.292914055691882 0.00439043570374135 -1.81377857177978e-07 1.24462037898176e-07 0.0076099374422267 -1.86196613682909e-05 1.27638906388672e-05 0.389993660422117 0.00760993744540602 0.389993661075473
23 0.042 0.559809312586462 -0.292914055417529 0.00440643556599582 -2.21466844863016e-07 1.51939807957468e-07 0.00840992379929836 -2.16181517131986e-05 1.48151699241872e-05 0.409992646190765 0.00840992380358694 0.409992647028382
24 0.044 0.559809312100445 -0.292914055084122 0.00442407539893855 -2.67850464030772e-07 1.83722717594925e-07 0.00924990802698976 -2.49215509340317e-05 1.70738249927193e-05 0.429991528512647 0.00924990803269241 0.42999152957383
25 0.046 0.55980931151506 -0.292914054682638 0.00444343519810378 -3.21153048599143e-07 2.20235107928346e-07 0.0101298899133489 -2.85443821357311e-05 1.95494280486041e-05 0.449990302344056 0.0101298899208339 0.449990303674042
26 0.048 0.559809310815832 -0.292914054203182 0.00446459495859194 -3.82027992573697e-07 2.61920429789342e-07 0.011049869236366 -3.25012447510708e-05 2.22515200709594e-05 0.469988962643018 0.0110498692460741 0.469988964293547
27 0.05 0.559809309986948 -0.292914053634956 0.00448763467504924 -4.51158027603426e-07 3.09241188212183e-07 0.012009845763921 -3.68066896405672e-05 2.51895275471536e-05 0.48998750432072 0.0120098457763764 0.489987506350614
28 0.052 0.5598093090112 -0.292914052966217 0.00451263434164763 -5.29254751135965e-07 3.62678539977956e-07 0.0130098192536489 -4.14751427646464e-05 2.83727902283814e-05 0.509985922289221 0.0130098192694695 0.509985924764978
29 0.054 0.559809307869929 -0.292914052184242 0.00453967395206384 -6.17058598662012e-07 4.22732349125709e-07 0.0140497894530779 -4.65210647782043e-05 3.18105680685576e-05 0.529984211490065 0.014049789472988 0.529984214486495
30 0.056 0.559809306542966 -0.292914051275288 0.00456883349945994 -7.15339010248783e-07 4.89920812252187e-07 0.0151297560996091 -5.19589302139244e-05 3.55119926520597e-05 0.549982366863064 0.015129756124452 0.549982370463936
31 0.058 0.559809305008573 -0.292914050224559 0.00460019297646228 -8.2489431951771e-07 5.64780319733948e-07 0.0162497189205302 -5.78031303377634e-05 3.9486136582667e-05 0.569980383320275 0.0162497189512823 0.569980387618982
32 0.06 0.559809303243389 -0.292914049016167 0.00463383237514206 -9.46551531599837e-07 6.47865358582855e-07 0.0174096776328902 -6.4068056415678e-05 4.37418989918114e-05 0.589978255735589 0.0174096776706764 0.589978260835836
33 0.062 0.559809301222367 -0.292914047633097 0.00466983168699384 -1.08116654518042e-06 7.39747915701194e-07 0.0186096319434725 -7.07681066525189e-05 4.82880437024934e-05 0.609975979047951 0.0186096319895817 0.609975985064467
34 0.064 0.559809298918722 -0.292914046057175 0.00470827090291595 -1.22962395820991e-06 8.41017533392829e-07 0.019849581549082 -7.79175612919402e-05 5.31332824960095e-05 0.629973548184163 0.0198495816049846 0.629973555243421
35 0.066 0.559809296303871 -0.292914044269027 0.00474923001319016 -1.39283679034818e-06 9.52281045685232e-07 0.0211295261362092 -8.55307491498534e-05 5.82861571507552e-05 0.649970958003369 0.0211295262035754 0.649970966244341
36 0.068 0.559809293347375 -0.292914042248051 0.00479278900746079 -1.57174695480933e-06 1.07416216199585e-06 0.0224494653810955 -9.3622026797746e-05 6.37550186255441e-05 0.669968203411557 0.0224494654618149 0.669968212986479
37 0.07 0.559809290016883 -0.292914039972378 0.00483902787471455 -1.76732489753917e-06 1.20730112018741e-06 0.0238093989498554 -0.000102205605090333 6.95480964485461e-05 0.689965279312976 0.0238093990460572 0.689965290388115
38 0.0720000000000001 0.559809286278076 -0.292914037418846 0.00488802660326021 -1.98056937517066e-06 1.35235454779003e-06 0.0252093264983474 -0.000111295715699011 7.56735021867348e-05 0.709962180591923 0.0252093266124226 0.709962193348388
39 0.0740000000000001 0.559809282094606 -0.29291403456296 0.00493986518070794 -2.21250776033521e-06 1.50999512893435e-06 0.0266492476722231 -0.000120906631928541 8.21391045457974e-05 0.729958902124897 0.0266492478068475 0.729958916759451
40 0.0760000000000001 0.559809277428045 -0.292914031378866 0.0049946235939491 -2.46419590288482e-06 1.68091096597322e-06 0.028129162106847 -0.000131052557694744 8.89525814118384e-05 0.749955438775379 0.0281291622650054 0.749955455501263
41 0.0780000000000001 0.559809272237822 -0.292914027839316 0.00505238182913532 -2.73671799111419e-06 1.8658054545817e-06 0.0296490694273246 -0.000141747655280078 9.6121516995895e-05 0.769951785418997 0.0296490696123364 0.769951804466776
42 0.0800000000000001 0.559809266481173 -0.292914023915644 0.0051132198716584 -3.03118652400513e-06 2.0653970339568e-06 0.031208969248523 -0.000153006080028106 0.000103653263056058 0.789947936924439 0.0312089694640693 0.789947958542863
43 0.0820000000000001 0.559809260113076 -0.292914019577728 0.00517721770612942 -3.34874231122661e-06 2.28041850680593e-06 0.0328088611750224 -0.000164842001160181 0.00011155489726411 0.809943888164729 0.0328088614251741 0.809943912621596
44 0.0840000000000001 0.559809253086203 -0.29291401479397 0.00524445531635849 -3.69055452864586e-06 2.51161662301324e-06 0.0344487448011819 -0.000177269546264291 0.000119833313411144 0.829939633988604 0.0344487450904292 0.829939661571643
45 0.0860000000000001 0.559809245350858 -0.292914009531262 0.00531501268533414 -4.05782049628378e-06 2.75975176045051e-06 0.0361286197109768 -0.000190302780478379 0.000128495224877012 0.849935169237867 0.0361286200442602 0.849935200255627
46 0.0880000000000001 0.559809236854921 -0.292914003754963 0.0053889697952024 -4.45176565055938e-06 3.02559752252129e-06 0.0378484854781334 -0.000203955831390434 0.000137547064016363 0.869930488778605 0.037848485860876 0.86993052356137
47 0.0900000000000001 0.559809227543795 -0.292913997428872 0.00546640662724668 -4.87364382184551e-06 3.30994001651596e-06 0.0396083416660912 -0.000218242771077292 0.000146995002975325 0.88992558744394 0.0396083421042326 0.889925626344628
48 0.0920000000000001 0.559809217360346 -0.292913990515203 0.00554740316186676 -5.32473673486855e-06 3.61357753442259e-06 0.0414081878279092 -0.000233177623043534 0.000156844988385973 0.909920460085212 0.0414081883279403 0.909920503480298
49 0.0940000000000001 0.559809206244849 -0.292913982974562 0.00563203937855832 -5.80635431401965e-06 3.93731997005986e-06 0.0432480235064321 -0.000248774438549315 0.00016710268585518 0.929915101547695 0.0432480240754319 0.929915149838139
50 0.0960000000000001 0.559809194134929 -0.292913974765923 0.00572039525589249 -6.31983448906581e-06 4.28198827784331e-06 0.0451278482340999 -0.000265047248038108 0.000177773473025722 0.949909506650636 0.0451278488797737 0.949909560262821
51 0.0980000000000001 0.559809180965511 -0.292913965846608 0.00581255077149471 -6.86654330617208e-06 4.64841386216274e-06 0.0470476615330346 -0.000282010068075599 0.000188862387534571 0.969903670259251 0.0470476622637528 0.96990372964591
52 0.1 0.559809166668756 -0.292913956172267 0.00590858590202463 -7.4478747613682e-06 5.0374378279816e-06 0.049007462915137 -0.000299676866655218 0.000200374220687971 0.989897587210136 0.0490074637399768 0.989897652851294
53 0.102 0.559809151174012 -0.292913945696857 0.00600858062315526 -8.06525077279296e-06 5.44991074491463e-06 0.0510072518818752 -0.000318061632587074 0.00021231347929751 1.00989125232428 0.0510072528106627 1.00989132472822
54 0.104 0.559809134407753 -0.292913934372624 0.00611261490955213 -8.7201212917165e-06 5.88669174517164e-06 0.0530470279244341 -0.000337178326925702 0.000224684253841145 1.02988466044781 0.053047028967788 1.02988474015199
55 0.106 0.559809116293526 -0.29291392215009 0.006220768734853 -9.41396408049577e-06 6.34864776027921e-06 0.0551267905236664 -0.000357040910725636 0.000237490308668819 1.04987780644421 0.0551267916930438 1.04987789401624
56 0.108 0.559809096751896 -0.292913908978033 0.0063331220716468 -1.0148284934619e-05 6.83665297984692e-06 0.0572465391502109 -0.000377663331163624 0.000250735088941356 1.06987068515963 0.0572465404579538 1.06987078119818
57 0.11 0.559809075700387 -0.292913894803478 0.00644975489145384 -1.09246174051503e-05 7.35158811604463e-06 0.0594062732643049 -0.000399059507660836 0.000264421640833179 1.08986329143239 0.0594062747236888 1.08986339656818
58 0.112 0.559809053053427 -0.292913879571681 0.00657074716470402 -1.17445229652624e-05 7.89433954317963e-06 0.0616059923159405 -0.000421243387394021 0.000278552615001759 1.10985562016153 0.061605993941224 1.10985573505825
59 0.114 0.559809028722295 -0.29291386322612 0.00669617886071761 -1.26095909547263e-05 8.46579857605167e-06 0.0638456957449511 -0.00044422887590656 0.00029313028393485 1.12984766622616 0.0638456975514278 1.1298477915814
60 0.116 0.559809002615063 -0.292913845708487 0.00682612994768382 -1.35214384688886e-05 9.06686067891903e-06 0.0661253829808451 -0.000468029871802943 0.000308156521133806 1.14983942449149 0.0661253849848959 1.14983956103768
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502 1 0.559603516228202 -0.292940617648438 0.273739971387031 -0.000133037714872279 -5.73758907468373e-05 0.291752829942296 0.0020726266536385 0.000885567105757702 -0.89055818171117 0.291752865916283 0.890561033856214
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532 1.06 0.55959974231178 -0.292942491482868 0.289282228789205 1.27198163668574e-05 -6.58242761686356e-06 0.220305018131292 0.00260895774428782 0.000738948298384389 -1.490957814404 0.220305018596833 1.4909602801676
533 1.062 0.559599772970088 -0.292942503169651 0.289719856909492 1.793623644053e-05 -5.1157695302173e-06 0.21730309787342 0.0026066971914318 0.000727535823252799 -1.51096209451487 0.217303098673868 1.51096451819339
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535 1.066 0.559599865556508 -0.292942517858788 0.290576901588505 2.83478171769769e-05 -2.25265298081645e-06 0.211179235184711 0.00259752954562264 0.000703685738151493 -1.55096853836009 0.211179237099371 1.55097087313598
536 1.068 0.559599927447995 -0.292942520956558 0.290996158121437 3.35367233150752e-05 -8.57541371246383e-07 0.208057295599792 0.00259057825191533 0.000691263189050993 -1.57097068425455 0.208057298304449 1.57097297230973
537 1.07 0.559599999703402 -0.292942521288954 0.291409130770904 3.87101301846382e-05 5.12399775387528e-07 0.204895352447692 0.00258201929281831 0.000678518959768003 -1.59097210132227 0.204895356105015 1.59097434121277
538 1.072 0.559600082288515 -0.292942518906959 0.291815739531228 4.38648004863484e-05 1.85653446782563e-06 0.201693407194503 0.00257183081775469 0.000665460395121719 -1.61097278127477 0.201693411972962 1.61097497161175
539 1.074 0.559600175162604 -0.292942513862816 0.292215904399682 4.89974534556569e-05 3.1742413558744e-06 0.198451461322593 0.00255999118431438 0.000652094708092353 -1.63097271612886 0.198451467396689 1.63097485558151
540 1.076 0.559600278278329 -0.292942506209994 0.292609545376518 5.41047652236059e-05 4.46491330019505e-06 0.195169516329988 0.00254647886110959 0.000638428993698924 -1.65097189805396 0.195169523880503 1.65097398535231
541 1.078 0.559600391581665 -0.292942496003163 0.292996582465002 5.91833689000953e-05 5.7279573306701e-06 0.191847573730377 0.00253127243471373 0.000624470281040955 -1.67097031943813 0.191847582944673 1.67097235337586
542 1.08 0.559600515011805 -0.292942483298165 0.29337693567144 6.42298549624609e-05 6.96279442435887e-06 0.188485635052235 0.00251435070680594 0.000610225394520602 -1.69096797303716 0.188485646124577 1.69096995247459
543 1.082 0.559600648501084 -0.292942468151985 0.293750525005211 6.92407717273191e-05 8.16885890875251e-06 0.185083701838229 0.00249569269417104 0.0005957009503732 -1.71096485177685 0.185083714970165 1.71096677564394
544 1.084 0.559600791974892 -0.292942450622729 0.294117270478793 7.4212625739145e-05 9.34559822585167e-06 0.181641775645128 0.00247527753849397 0.000580903394831188 -1.73096094870789 0.181641791045918 1.73096281600714
545 1.086 0.559600945351587 -0.292942430769592 0.294477092107791 7.91418818812949e-05 1.04924724880773e-05 0.178159858043397 0.00245308452023751 0.000565838972899079 -1.7509562571863 0.178159875930505 1.75095806699568
546 1.088 0.559601108542419 -0.292942408652839 0.294829909910966 8.40249638200951e-05 1.1608954117448e-05 0.174637950616382 0.00242909325987028 0.000550513756109038 -1.77095077082828 0.174637971216034 1.77095252230451
547 1.09 0.559601281451443 -0.292942384333776 0.295175643910257 8.88582549207761e-05 1.26945275125134e-05 0.171076054960084 0.00240328359990549 0.000534933517620794 -1.79094448336802 0.171076078507915 1.79094617574964
548 1.092 0.559601463975439 -0.292942357874729 0.295514214130807 9.36380982197171e-05 1.37486881879312e-05 0.16747417268291 0.00236897239325184 0.000517896170393327 -1.80593484550712 0.167474199424703 1.80593647354038
549 1.094 0.559601656003835 -0.292942329339023 0.295845540600989 9.83341444937834e-05 1.47661121940867e-05 0.163852315578056 0.00231341699963305 0.000497171640662097 -1.80591698122068 0.163852345750474 1.80591853142357
550 1.096 0.559601857312017 -0.29294229881028 0.296169623393119 0.000102891766218249 1.57373747505796e-05 0.160250504758028 0.00223811323640799 0.000473213628005009 -1.79089142723215 0.160250538562537 1.79089288825871
551 1.098 0.5596020675709 -0.292942266389524 0.296486542620021 0.000107286597439415 1.66589667061068e-05 0.156688749869127 0.00215759002331062 0.000448794057472667 -1.77086370292331 0.15668878748489 1.77086507417761
552 1.1 0.559602286458407 -0.292942232174413 0.296796378392596 0.000111522126311492 1.75325509804702e-05 0.153167049946334 0.00207880385127978 0.000425196121367487 -1.75083646326499 0.153167091549843 1.75083774899773
553 1.102 0.559602513659406 -0.29294219625932 0.297099210819806 0.000115601812844535 1.83597511915767e-05 0.149685404016067 0.00200174046088852 0.000402400328336494 -1.73080971228867 0.149685449781576 1.73081091660634
554 1.104 0.559602748865658 -0.292942158735409 0.29739512000866 0.000119529088155046 1.91421522938162e-05 0.14624381109718 0.00192638524576516 0.000380387485399147 -1.71078345348463 0.146243861197154 1.7107845803524
555 1.106 0.559602991775758 -0.292942119690711 0.297684186064195 0.000123307353827595 1.98813011331733e-05 0.142842270202129 0.001852723405249 0.000359138697947347 -1.69075768973597 0.142842324807697 1.69075874298078
556 1.108 0.559603242095073 -0.292942079210204 0.297966489089468 0.000126939981776042 2.05787070856056e-05 0.139480780338236 0.00178073994439032 0.00033863539403156 -1.67073242336376 0.13948083961966 1.67073340667733
557 1.11 0.559603499535685 -0.292942037375883 0.298242109185548 0.000130430313605156 2.12358427092995e-05 0.136159340508674 0.00171041952823359 0.000318859258441327 -1.65070765620681 0.136159404635833 1.6507085731485
558 1.112 0.559603763816328 -0.292941994266833 0.298511126451503 0.000133781659888976 2.18541441193709e-05 0.132877949713408 0.00164174661365646 0.000299792263930287 -1.63068338956268 0.1328780188563 1.63068424356249
559 1.114 0.559604034662325 -0.292941949959306 0.298773620984401 0.000136997300059782 2.24350117650207e-05 0.129636606950423 0.00157470547018645 0.000281416702441195 -1.61065962421894 0.129636681279676 1.61066041858046
560 1.116 0.559604311805528 -0.292941904526786 0.299029672879305 0.000140080481769722 2.29798109291357e-05 0.126435311216533 0.00150928006203976 0.000263715219800398 -1.59063636058498 0.12643539090395 1.59063709848823
561 1.118 0.559604594984252 -0.292941858040062 0.299279362229267 0.000143034420307941 2.34898726442223e-05 0.123274061508083 0.00144545413138797 0.000246670749798339 -1.57061359861224 0.123274146727195 1.57061428311658
562 1.12 0.559604883943209 -0.292941810567296 0.299522769125337 0.000145862298295274 2.3966493928329e-05 0.120152856822084 0.00138321126774699 0.00023026648990343 -1.55059133775253 0.120152947748738 1.55059197179956
563 1.122 0.559605178433445 -0.292941762174087 0.299759973656556 0.000148567265378929 2.4410938603836e-05 0.117071696157073 0.00132253479001587 0.000214485998406565 -1.53056957710381 0.117071792970041 1.5305701635202
564 1.124 0.559605478212271 -0.292941712923541 0.299991055909965 0.000151152437455337 2.48244379219553e-05 0.114030578513669 0.00126340780892686 0.000199313121562738 -1.5105483154379 0.114030681395289 1.51054885693819
565 1.126 0.559605783043195 -0.292941662876335 0.30021609597061 0.000153620896614637 2.5208191090087e-05 0.111029502895321 0.001205813317251 0.000184732059510528 -1.49052755112067 0.111029612032173 1.49052805031018
566 1.128 0.559606092695857 -0.292941612090777 0.300435173921547 0.000155975690724341 2.55633661599974e-05 0.108068468309186 0.00114973394693685 0.000170727307291507 -1.47050728211556 0.108068583892801 1.470507741493
567 1.13 0.559606406945958 -0.29294156062287 0.300648369843847 0.000158219832402384 2.5891100319253e-05 0.105147473766859 0.00109515219809397 0.000157283616686321 -1.45048750610499 0.105147595994472 1.45048792806529
568 1.132 0.559606725575187 -0.292941508526376 0.300855763816614 0.000160356299516717 2.61925006267427e-05 0.102266518284766 0.00104205048756523 0.000144386103767546 -1.43046822048339 0.102266647360116 1.43046860732052
569 1.134 0.559607048371156 -0.292941455852868 0.301057435916986 0.000162388034352645 2.64686447343232e-05 0.0994256008849253 0.000990410906065441 0.000132020196857985 -1.41044942231563 0.0994257370191004 1.41044977622516
570 1.136 0.559607375127324 -0.292941402651797 0.301253466220154 0.000164317943140979 2.67205814141746e-05 0.0966247205955033 0.000940215419409362 0.000120171567141725 -1.39043110837511 0.0966248640078474 1.39043143145697
571 1.138 0.559607705642928 -0.292941348970542 0.301443934799368 0.000166148896030282 2.69493310028901e-05 0.0938638764514248 0.000891445819939377 0.000108826204991974 -1.37041327511605 0.0938640273705025 1.37041356937718
572 1.14 0.559608039722908 -0.292941294854473 0.301628921725959 0.000167883726420737 2.71558862341425e-05 0.0911430674950391 0.000844083705708868 9.7970468543318e-05 -1.35039591883657 0.0911432261596714 1.35039618619351
573 1.142 0.559608377177834 -0.292941240346997 0.301808507069348 0.000169525230853118 2.73412128770633e-05 0.0884622927760786 0.000798110563748899 8.759094491384e-05 -1.33037903557453 0.0884624594364551 1.33037927785608
574 1.144 0.559608717823832 -0.292941185489621 0.301982770897064 0.000171076168675732 2.75062500137979e-05 0.085821551352741 0.00075350772149596 7.76744710218046e-05 -1.31036262102784 0.0858217262716175 1.3103628399776
575 1.146 0.559609061482509 -0.292941130321997 0.302151793274759 0.000172539261739102 2.76519107611506e-05 0.0832208422919672 0.000710256242708595 6.82082480774059e-05 -1.29034667078337 0.0832210257459585 1.29034686806224
576 1.148 0.559609407980879 -0.292941074881978 0.302315654266232 0.000173917193646566 2.77790830061075e-05 0.0806601646696075 0.000668337080123038 5.91797409688066e-05 -1.27033118019551 0.0806603569505857 1.27033135738421
577 1.15 0.559609757151283 -0.292941019205665 0.302474433933438 0.000175212610059594 2.78886297250258e-05 0.0781395175711851 0.000627731214231097 5.05766539760088e-05 -1.25031614439316 0.0781397189877974 1.25031630299483
578 1.152 0.559610108831319 -0.292940963327459 0.302628212336516 0.000176428118503491 2.79813896220116e-05 0.0756589000920348 0.000588419341029933 4.23869793431119e-05 -1.23030155835604 0.0756591109713541 1.23030169979858
579 1.154 0.559610462863757 -0.292940907280107 0.302777069533806 0.000177566287423714 2.80581776423982e-05 0.073218311337761 0.000550381920594311 3.45989799310775e-05 -1.21028741682794 0.0732185320270835 1.21028754246641
580 1.156 0.559610819096469 -0.292940851094749 0.302921085581867 0.000178629646185868 2.81197855417359e-05 0.0708177504247231 0.000513599461571256 2.72011996260701e-05 -1.19027371440691 0.0708179812935331 1.19027382552601
581 1.158 0.559611177382342 -0.292940794800965 0.303060340535505 0.000179620685269999 2.81669824409025e-05 0.0684572164801333 0.000478052340768808 2.01824147672003e-05 -1.17026044559737 0.068457457922255 1.17026054341378
582 1.16 0.55961153757921 -0.292940738426819 0.303194914447788 0.000180541855548943 2.82005152008047e-05 0.0661367086423336 0.00044372069213372 1.35316376159711e-05 -1.15024760470247 0.0661369610782926 1.15024769036714
583 1.162 0.559611899549764 -0.292940681998904 0.303324887370074 0.000181395568038534 2.82211089913664e-05 0.0638562260613234 0.000410584649612744 7.23813370351322e-06 -1.13023518586927 0.0638564899409444 1.13023526046973
584 1.164 0.559612263161482 -0.292940625542383 0.303450339352033 0.000182184194147394 2.82294677356187e-05 0.0616157678988565 0.000378624208374756 1.29144958616045e-06 -1.11022318310602 0.0616160437041296 1.1102232476687
585 1.166 0.559612628286541 -0.292940569081033 0.30357135044167 0.000182910064872033 2.8226274789711e-05 0.0594153333288993 0.000347819210932964 -4.31865654348939e-06 -1.09021159031691 0.0594156215771461 1.09021164580928
586 1.168 0.559612994801741 -0.292940512637284 0.303688000685349 0.000183575470991126 2.82121931094448e-05 0.0572549215375889 0.000318149492861685 -9.60223914270308e-06 -1.07020040132979 0.0572552227849726 1.07020044866266
587 1.17 0.559613362588425 -0.29294045623226 0.30380037012782 0.000184182662843479 2.81878658331402e-05 0.0551345317235801 0.00028959475789625 -1.45690577657564e-05 -1.05018960979211 0.0551348465690033 1.05018964982173
588 1.172 0.559613731532393 -0.29294039988582 0.303908538812243 0.000184733850022711 2.81539168783817e-05 0.0530541630984204 0.000262134577933004 -1.92287089029186e-05 -1.0301792092611 0.0530544921878645 1.03017924279132
589 1.174 0.559614101523825 -0.292940343616593 0.304012586780214 0.000185231201155211 2.81109509975286e-05 0.0510138148865357 0.000235748455479356 -2.35905774081946e-05 -1.01016919322807 0.0510141589179042 1.01016922101245
590 1.176 0.559614472457197 -0.292940287442016 0.304112594071789 0.000185676843844629 2.8059554568749e-05 0.0490134863255081 0.000210415906920502 -2.76637844576211e-05 -0.990159555094153 0.0490138460540459 0.990159577838032
591 1.178 0.5596148442312 -0.292940231378375 0.304208640725516 0.000186072864782893 2.80002958596981e-05 0.0470531766661591 0.000186116295985972 -3.14573020410158e-05 -0.970150288132076 0.0470535529105333 0.970150306494611
592 1.18 0.559615216748657 -0.292940175440833 0.304300806778454 0.000186421309028573 2.79337253605849e-05 0.0451328851729798 0.000162828861505204 -3.49798766341447e-05 -0.950141385510499 0.0451332788221159 0.950141400106658
593 1.182 0.559615589916437 -0.292940119643473 0.304389172266208 0.000186724180228914 2.78603763531615e-05 0.0432526111241171 0.000140532911696578 -3.82400881793199e-05 -0.930132840425838 0.0432530231449104 0.930132851828404
594 1.184 0.559615963645377 -0.292940063999327 0.30447381722295 0.000186983440675359 2.77807650078676e-05 0.0414123538112765 0.0001192076090617 -4.12463535548468e-05 -0.910124645963487 0.0414127852573132 0.91012465470499
595 1.186 0.559616337850199 -0.292940008520413 0.304554821681453 0.000187201010665161 2.76953909389421e-05 0.0396121125402632 9.88320675299192e-05 -4.40068363694035e-05 -0.890116795070061 0.0396125645617088 0.890116801644692
596 1.188 0.55961671244942 -0.292939953217764 0.304632265673111 0.000187378768945479 2.760473766239e-05 0.0378518866309962 7.93854149083727e-05 -4.65295683926836e-05 -0.870109280692171 0.0378523604858453 0.870109285557678
597 1.19 0.559617087365275 -0.292939898101462 0.304706229227977 0.000187518552324794 2.75092726653714e-05 0.0361316754174945 6.08466194096379e-05 -4.88224599637376e-05 -0.850102095731329 0.036132172484404 0.850102099310865
598 1.192 0.559617462523629 -0.292939843180673 0.304776792374781 0.000187622155423117 2.7409447822535e-05 0.0344514782480709 4.31946631240798e-05 -5.08931889686703e-05 -0.83009523301966 0.0344520000410475 0.830095235703626
599 1.194 0.559617837853897 -0.292939788463671 0.304844035140969 0.000187691330977291 2.73056999094967e-05 0.0328112944854158 2.64085281420634e-05 -5.27492841073673e-05 -0.810088685330306 0.032811842670683 0.810088687478156
600 1.196 0.559618213288953 -0.292939733957873 0.304908037552723 0.000187727789535685 2.71984506861056e-05 0.0312111235067497 1.04671271650147e-05 -5.43981734657528e-05 -0.790082445394773 0.0312116999221809 0.7900824473368
601 1.198 0.559618588765055 -0.292939679669868 0.304968879634996 0.000187733199485951 2.70881072156337e-05 0.0296509647038367 -4.65064098342793e-06 -5.58470839018276e-05 -0.770076505909876 0.0296515713814279 0.770076507948976
602 1.2 0.559618964221751 -0.292939625605445 0.305026641411538 0.000187709186971752 2.69750623504983e-05 0.0281308174831102 -1.89659260518837e-05 -5.71031034957147e-05 -0.750070859523859 0.0281314566750625 0.750070861937278
603 1.202 0.559619339601803 -0.292939571769619 0.305081402904928 0.000187657335781743 2.68596948016508e-05 0.0266506812657413 -3.24999263612291e-05 -5.8173243999704e-05 -0.730065498857206 0.0266513554748537 0.730065501898283
604 1.204 0.559619714851094 -0.292939518166665 0.305133244136601 0.000187579187266307 2.67423693744995e-05 0.0252105554876813 -4.52738263545526e-05 -5.90643332853968e-05 -0.710060416509588 0.0252112675029098 0.710060420409478
605 1.206 0.559620089918552 -0.292939464800141 0.305182245126879 0.000187476240476325 2.66234374685092e-05 0.0238104395997029 -5.73087827193674e-05 -5.97830430992818e-05 -0.690055605039041 0.0238111925379488 0.69005561000843
606 1.208 0.559620464756056 -0.292939411672915 0.305228485895 0.000187349952135429 2.65032372021023e-05 0.0224503330675252 -6.86260076543376e-05 -6.03359827378024e-05 -0.670051056948089 0.0224511304229645 0.670051063178927
607 1.21 0.55962083931836 -0.292939358787193 0.305272046459149 0.000187201736445708 2.6382093537558e-05 0.0211302353719106 -7.92467619303849e-05 -6.07296539445467e-05 -0.65004676472885 0.0211310810745056 0.650046772396098
608 1.212 0.559621213563002 -0.292939306144541 0.305313006836488 0.000187032965087708 2.62603185863241e-05 0.0198501460086098 -8.91922508072795e-05 -6.09704300935653e-05 -0.630042720904666 0.019851044493867 0.630042730168047
609 1.214 0.559621587450221 -0.292939253745918 0.305351447043184 0.000186844967442479 2.61382118171838e-05 0.0186100644882919 -9.84836934225796e-05 -6.10645110865615e-05 -0.610038917926019 0.0186110207808803 0.610038928931802
610 1.216 0.559621960942872 -0.292939201591694 0.305387447094441 0.000186639030314017 2.60160605419779e-05 0.0174099903369057 -0.000107142343608313 -6.10180309057461e-05 -0.59003534820523 0.0174110101514585 0.590035361088087
611 1.218 0.559622334006342 -0.292939149681676 0.305421087004531 0.000186416398068045 2.58941396935608e-05 0.016249923095471 -0.000115189378868674 -6.08371027166487e-05 -0.570032004213599 0.0162510129588485 0.570032019098505
612 1.22 0.559622706608464 -0.292939098015135 0.305452446786823 0.000186178272798543 2.57727121311113e-05 0.0151298623200513 -0.000122646032219009 -6.05276523346631e-05 -0.550028878346097 0.0151310297205994 0.550028895350337
613 1.222 0.559623078719433 -0.292939046590828 0.305481606453812 0.000185925813939169 2.56520290842221e-05 0.0140498075820866 -0.000129533536674664 -6.00955465945851e-05 -0.530025962969942 0.0140510611531138 0.530025982205237
614 1.224 0.55962345031172 -0.292938995407019 0.305508646017151 0.000185660138651844 2.5532329944733e-05 0.0130097584681715 -0.000135873035045364 -5.95465586561427e-05 -0.510023250511331 0.0130111082151797 0.510023272086106
615 1.226 0.559623821359988 -0.292938944461508 0.305533645487684 0.000185382321798988 2.54138428495976e-05 0.0120097145800413 -0.000141685760346455 -5.88863645345494e-05 -0.490020733361767 0.0120111721643935 0.490020757383667
616 1.228 0.559624191841007 -0.292938893751648 0.305556684875471 0.000185093395610458 2.52967844865948e-05 0.0110496755347245 -0.00014699286926545 -5.81206228977837e-05 -0.47001840386418 0.0110512546308142 0.47001843044283
617 1.23 0.55962456173357 -0.29293884327437 0.305577844189823 0.000184794350321926 2.51813603580064e-05 0.0101296409645846 -0.000151815442162029 -5.72548328192645e-05 -0.450016254378848 0.0101313577137623 0.450016283628951
618 1.232 0.559624931018408 -0.292938793026206 0.30559720343933 0.00018448613384181 2.50677651553177e-05 0.00924961051720906 -0.000156174635723705 -5.6294476025176e-05 -0.430014277286866 0.00925148411048164 0.430014309331829
619 1.234 0.559625299678106 -0.292938743003309 0.305614842631892 0.000184169651779031 2.49561824539057e-05 0.0084095838554371 -0.000160091571943521 -5.52449752611039e-05 -0.410012464941572 0.00841163728969024 0.410012499917725
620 1.236 0.559625667697015 -0.292938693201476 0.305630841774752 0.000183845767554036 2.48467852542733e-05 0.00760956065744278 -0.000163587296486689 -5.41116110253084e-05 -0.390010809696306 0.00761182172861963 0.390010847757903
621 1.238 0.559626035061176 -0.292938643616168 0.305645280874522 0.000183515302593085 2.47397360098045e-05 0.00684954061665188 -0.000166682813385055 -5.28996672854989e-05 -0.370009303911344 0.00685204324125202 0.370009345236702
622 1.24 0.559626401758226 -0.292938594242532 0.305658239937218 0.000183179036300496 2.46351865851313e-05 0.0061295234417974 -0.000169399161364936 -5.16143794371259e-05 -0.350007939940027 0.00613230944060245 0.35000798473918
623 1.242 0.559626767777321 -0.292938545075422 0.305669798968289 0.000182837705947625 2.4533278492056e-05 0.00544950885689177 -0.000171757351397073 -5.02608961394646e-05 -0.330006710128755 0.00545263040099103 0.330006758653136
624 1.244 0.55962713310905 -0.292938496109418 0.305680037972646 0.000182492006894907 2.44341430005734e-05 0.00480949660128238 -0.000173778290368798 -4.88442931934063e-05 -0.310005606813517 0.00481301962573097 0.310005659368464
625 1.246 0.559627497745349 -0.29293844733885 0.305689036954694 0.00018214259278615 2.43379013192824e-05 0.0042094864296377 -0.000175482864350762 -4.73696290526071e-05 -0.290004622371942 0.00421349549173265 0.290004679333299
626 1.248 0.559627861679421 -0.292938398757813 0.305696875918364 0.000181790075437504 2.4244664484363e-05 0.00364947811179461 -0.000176891994108086 -4.58419240068064e-05 -0.270003749198999 0.00365408345878299 0.270003811035651
627 1.25 0.55962822490565 -0.292938350360192 0.305703634867141 0.000181435024809717 2.41545336232551e-05 0.0031294714328417 -0.000178026496322481 -4.42660977317821e-05 -0.250002979602925 0.00313481954164742 0.250003046907956
628 1.252 0.55962858741952 -0.292938302139679 0.305709393804096 0.000181077969452214 2.40676000934359e-05 0.00264946619338291 -0.000178907139103401 -4.26470594949712e-05 -0.230002305950938 0.00265575593575052 0.230002379486137
629 1.254 0.559628949217528 -0.292938254089792 0.305714232731915 0.000180719396253304 2.39839453852752e-05 0.00220946220903795 -0.000179554704438089 -4.09896873387882e-05 -0.210001720672703 0.00221697045153634 0.210001801434041
630 1.256 0.559629310297105 -0.292938206203897 0.305718231652932 0.000180359750634462 2.39036413440807e-05 0.00180945931069209 -0.000179989891047061 -3.92988037944963e-05 -0.190001216093804 0.00181858297054843 0.190001305410993
631 1.258 0.559629670656531 -0.292938158475226 0.305721470569158 0.000179999436689115 2.38267501700973e-05 0.00144945734466273 -0.000180233369895255 -3.75791862905483e-05 -0.170000784616153 0.00146078544120237 0.170000884310554
632 1.26 0.559630030294852 -0.292938110896896 0.30572402948231 0.000179638817154881 2.37533245989185e-05 0.00112945617222748 -0.000180305784192036 -3.58355879692684e-05 -0.15000041864513 0.00114389928317185 0.150000531292657
633 1.262 0.559630389211799 -0.292938063461928 0.305725988393846 0.000179278213552347 2.36834078182202e-05 0.00084945567008221 -0.000180227693880042 -3.40727307479582e-05 -0.130000110541012 0.000868490942437065 0.130000239936886
634 1.264 0.559630747407706 -0.292938016163265 0.305727427304991 0.000178917906379361 2.36170336759267e-05 0.000609455730063435 -0.000180019631146333 -3.22952532771925e-05 -0.109999852723058 0.000635614402299049 0.110000004768843
635 1.266 0.559631104883425 -0.292937968993793 0.305728426216767 0.000178558135027762 2.35542268051114e-05 0.000409456259189977 -0.000179702114300184 -3.05078289020155e-05 -0.0899996376174659 0.000447316708132872 0.0899998221934505
636 1.268 0.559631461640246 -0.292937921946358 0.305729065130028 0.00017819909792216 2.34950023603186e-05 0.000249457179593571 -0.000179295571445248 -2.87150893341081e-05 -0.0699994576434936 0.000307466775582276 0.0699996931553385
637 1.27 0.559631817679817 -0.292937875013784 0.305729424045485 0.000177840952741981 2.3439366447775e-05 0.000129458428616003 -0.000178820402929602 -2.69215691406366e-05 -0.0499993052030522 0.000221215490215702 0.0499996322216009
638 1.272 0.559632173004057 -0.292937828188892 0.305729582963742 0.000177483816310442 2.33873160837561e-05 4.94599587813615e-05 -0.0222970491445262 -0.0029395683213973 -0.0299320085141163 0.000185724955588564 0.0374396126603723
639 1.274 0.559632527615082 -0.292937781464519 0.30572962188532 8.86527561638761e-05 1.16810931621858e-05 9.73039455953727e-06 -0.0443709540776104 -0.00584682902093902 -0.0123649896953404 8.99468714920069e-05 0.046431238897141
640 1.276 0.559632527615082 -0.292937781464519 0.30572962188532 0 0 0 -0.044326378081938 -0.00584054658109289 -0.00486519727976863 0 0.0449734357460034

50
data/planner/plot_tcp.py Normal file
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@ -0,0 +1,50 @@
import numpy as np
import matplotlib.pyplot as plt
CSV = "/home/lgv/cmvr/0-workspace/cmvr-es/data/ik_movel_scurve_tcp.csv" # 改成你的路径
data = np.genfromtxt(CSV, delimiter=",", names=True)
t = data["t"]
px, py, pz = data["px"], data["py"], data["pz"]
vx, vy, vz = data["vx"], data["vy"], data["vz"]
ax, ay, az = data["ax"], data["ay"], data["az"]
speed = data["speed"]
acc = data["acc"]
# 位置
plt.figure()
plt.plot(t, px, label="px")
plt.plot(t, py, label="py")
plt.plot(t, pz, label="pz")
plt.xlabel("t [s]")
plt.ylabel("TCP position [m]")
plt.title("TCP position (base frame)")
plt.grid(True)
plt.legend()
# 速度分量 + 模长
plt.figure()
plt.plot(t, vx, label="vx")
plt.plot(t, vy, label="vy")
plt.plot(t, vz, label="vz")
plt.plot(t, speed, label="|v|")
plt.xlabel("t [s]")
plt.ylabel("TCP velocity [m/s]")
plt.title("TCP velocity (finite-diff)")
plt.grid(True)
plt.legend()
# 加速度分量 + 模长
plt.figure()
plt.plot(t, ax, label="ax")
plt.plot(t, ay, label="ay")
plt.plot(t, az, label="az")
plt.plot(t, acc, label="|a|")
plt.xlabel("t [s]")
plt.ylabel("TCP accel [m/s^2]")
plt.title("TCP acceleration (finite-diff)")
plt.grid(True)
plt.legend()
plt.show()

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@ -1,63 +1,71 @@
import os import numpy as np
import re
import sys
import pandas as pd
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
def main(csv_path: str): CSV_PATH = "/home/lgv/cmvr/0-workspace/cmvr-es/data/ik_movel_scurve.csv" # 改成你的路径,比如 /home/lgv/.../ik_movel_scurve.csv
# 更健壮的读取
df = pd.read_csv(csv_path, sep=None, engine="python", comment="#")
if 't' not in df.columns:
raise RuntimeError("CSV missing 't' column")
# ——严格区分列名—— def load_csv(path: str):
# 允许列名形如q0, q1, ... | qd0, qd1, ... | qdd0, qdd1, ... # 期望列名t,q1,q2,q3,q4,q5,q6,q7
def grep(pattern): data = np.genfromtxt(path, delimiter=",", names=True)
r = re.compile(pattern) t = data["t"].astype(float)
return [c for c in df.columns if r.fullmatch(c)] q = np.vstack([data[f"q{i}"] for i in range(1, 8)]).T.astype(float) # (N,7)
return t, q
q_cols = grep(r"q\d+") def diff_over_time(x: np.ndarray, t: np.ndarray):
qd_cols = grep(r"qd\d+") # x: (N,7), t: (N,)
qdd_cols = grep(r"qdd\d+") dt = np.diff(t)
# 防止 dt=0
dt = np.where(dt <= 1e-12, 1e-12, dt)
dx = np.diff(x, axis=0)
return dx / dt[:, None] # (N-1,7)
# 如果你的列名不是纯数字后缀(比如 q_joint1把上面的正则改成更宽松的 def main():
# q_cols = [c for c in df.columns if c.startswith("q") and not c.startswith(("qd","qdd"))] t, q = load_csv(CSV_PATH)
# qd_cols = [c for c in df.columns if c.startswith("qd") and not c.startswith("qdd")] if len(t) < 3:
# qdd_cols = [c for c in df.columns if c.startswith("qdd")] raise RuntimeError("CSV too short (need >= 3 samples).")
t = df['t'].values qd = diff_over_time(q, t) # (N-1,7)
t_qd = (t[1:] + t[:-1]) * 0.5 # 中点时间
qdd = diff_over_time(qd, t_qd) # (N-2,7)
t_qdd = (t_qd[1:] + t_qd[:-1]) * 0.5
# 位置 # 打印统计
print("=== Stats from CSV ===")
for j in range(7):
max_qd = np.max(np.abs(qd[:, j]))
max_qdd = np.max(np.abs(qdd[:, j]))
print(f"joint {j+1}: max|qdot|={max_qd:.6f} rad/s, max|qddot|={max_qdd:.6f} rad/s^2")
# 画 q(t)
plt.figure() plt.figure()
for c in q_cols: for j in range(7):
plt.plot(t, df[c].values, label=c) plt.plot(t, q[:, j], label=f"q{j+1}")
plt.xlabel('time [s]') plt.xlabel("t [s]")
plt.ylabel('position [rad]') plt.ylabel("q [rad]")
plt.title('Joint Positions') plt.title("Joint position q(t)")
plt.legend()
plt.grid(True) plt.grid(True)
plt.legend()
# 速度(只画 qd* # 画 qdot(t)
plt.figure() plt.figure()
for c in qd_cols: for j in range(7):
plt.plot(t, df[c].values, label=c) plt.plot(t_qd, qd[:, j], label=f"qdot{j+1}")
plt.xlabel('time [s]') plt.xlabel("t [s]")
plt.ylabel('velocity [rad/s]') plt.ylabel("qdot [rad/s]")
plt.title('Joint Velocities') plt.title("Joint velocity qdot(t) (finite difference)")
plt.legend()
plt.grid(True) plt.grid(True)
plt.legend()
# 加速度(只画 qdd* # 画 qddot(t)
plt.figure() plt.figure()
for c in qdd_cols: for j in range(7):
plt.plot(t, df[c].values, label=c) plt.plot(t_qdd, qdd[:, j], label=f"qddot{j+1}")
plt.xlabel('time [s]') plt.xlabel("t [s]")
plt.ylabel('acceleration [rad/s^2]') plt.ylabel("qddot [rad/s^2]")
plt.title('Joint Accelerations') plt.title("Joint acceleration qddot(t) (finite difference)")
plt.legend()
plt.grid(True) plt.grid(True)
plt.legend()
plt.show() plt.show()
if __name__ == '__main__': if __name__ == "__main__":
main("/home/lgv/cmvr/0-workspace/cmvr-es/data/planner/traj.csv") main()