using Flyshot.Core.Domain;
using Microsoft.Extensions.Logging;
namespace Flyshot.Core.Planning;
///
/// 基于 CubicSpline + 逐段时间缩放迭代的 ICSP 规划器。
///
/// 算法核心逻辑(与逆向文档一致):
/// 1. 初始段时长取关节空间欧氏距离;
/// 2. 每轮用当前时长构造 CubicSpline,解析求每段 1/2/3 阶导峰值;
/// 3. 按速度一次方、加速度平方根、jerk 立方根缩放时长;
/// 4. 以 sum(|scale_i - 1|) 为收敛指标,保存历史最优结果;
/// 5. 最终用最优时长构造 CubicSpline 并输出时间轴。
///
public sealed class ICspPlanner
{
///
/// 默认收敛阈值,对应原实现中的 1e-3。
///
public const double DefaultThreshold = 1e-3;
///
/// 默认最大迭代轮数,对应原实现中的 1000。
///
public const int DefaultMaxIterations = 1000;
///
/// 默认最终 scale 容差。当前 C# spline 与旧系统对齐样本存在约 1% 内的数值余量。
///
public const double DefaultFinalScaleTolerance = 1e-2;
private readonly double _threshold;
private readonly int _maxIterations;
private readonly bool _enforceFinalScale;
private readonly double _finalScaleTolerance;
private readonly ILogger? _logger;
///
/// 初始化 ICSP 规划器。
///
/// 收敛阈值。
/// 最大迭代轮数。
/// 是否在最终最优 scale 仍大于 1.0 时抛出失败。
/// 最终 scale 判定容差。
/// 日志记录器;允许 null,供无日志场景使用。
public ICspPlanner(
double threshold = DefaultThreshold,
int maxIterations = DefaultMaxIterations,
bool enforceFinalScale = true,
double finalScaleTolerance = DefaultFinalScaleTolerance,
ILogger? logger = null)
{
if (threshold <= 0.0 || double.IsNaN(threshold) || double.IsInfinity(threshold))
{
throw new ArgumentOutOfRangeException(nameof(threshold), "收敛阈值必须为有限正数。");
}
if (maxIterations < 0)
{
throw new ArgumentOutOfRangeException(nameof(maxIterations), "最大迭代轮数不能为负数。");
}
if (finalScaleTolerance < 0.0 || double.IsNaN(finalScaleTolerance) || double.IsInfinity(finalScaleTolerance))
{
throw new ArgumentOutOfRangeException(nameof(finalScaleTolerance), "最终 scale 容差必须为有限非负数。");
}
_threshold = threshold;
_maxIterations = maxIterations;
_enforceFinalScale = enforceFinalScale;
_finalScaleTolerance = finalScaleTolerance;
_logger = logger;
}
///
/// 执行 ICSP 规划,返回包含完整时间轴和收敛信息的轨迹。
///
public PlannedTrajectory Plan(TrajectoryRequest request)
{
ArgumentNullException.ThrowIfNull(request);
var waypoints = request.Program.Waypoints;
if (waypoints.Count < 4)
{
throw new ArgumentException("ICSP 至少需要 4 个示教点。", nameof(request));
}
_logger?.LogInformation(
"ICSP 规划开始: 名称={Name}, 路点数={WaypointCount}, 自由度={Dof}, threshold={Threshold}, maxIterations={MaxIterations}",
request.Program.Name, waypoints.Count, request.Robot.DegreesOfFreedom, _threshold, _maxIterations);
_logger?.LogDebug(
"ICSP 输入路点: {Waypoints}",
string.Join(" | ", waypoints.Select(wp => $"[{string.Join(", ", wp.Positions.Select(j => j.ToString("F4")))}]")));
var qs = WaypointsToArray(waypoints);
var (velLimits, accLimits, jerkLimits) = ExtractLimits(request.Robot);
_logger?.LogDebug(
"ICSP 约束限值: vel=[{Vel}], acc=[{Acc}], jerk=[{Jerk}]",
string.Join(", ", velLimits.Select(v => v.ToString("F2"))),
string.Join(", ", accLimits.Select(a => a.ToString("F2"))),
string.Join(", ", jerkLimits.Select(j => j.ToString("F2"))));
// 初始段时长直接取相邻示教点的关节空间欧氏距离。
var segmentDurations = ComputeInitialDurations(qs);
int nseg = segmentDurations.Length;
int dof = qs[0].Length;
double bestThreshold = double.PositiveInfinity;
double[]? bestDurations = null;
double[]? bestScales = null;
CubicSplineInterpolator? bestSpline = null;
int bestIterations = 0;
double[]? bestWaypointTimes = null;
for (int iteration = 0; iteration <= _maxIterations; iteration++)
{
var waypointTimes = CumulativeTimes(segmentDurations);
var spline = new CubicSplineInterpolator(waypointTimes, qs);
var (maxDq, maxDdq, maxDddq) = spline.SegmentMaxAbsDerivatives();
var scales = new double[nseg];
for (int seg = 0; seg < nseg; seg++)
{
double segScale = 0.0;
for (int d = 0; d < dof; d++)
{
double sv = Math.Abs(maxDq[seg, d] / velLimits[d]);
double sa = Math.Sqrt(Math.Abs(maxDdq[seg, d] / accLimits[d]));
double sj = Math.Cbrt(Math.Abs(maxDddq[seg, d] / jerkLimits[d]));
segScale = Math.Max(segScale, Math.Max(sv, Math.Max(sa, sj)));
}
scales[seg] = segScale;
}
double currentThreshold = 0.0;
for (int seg = 0; seg < nseg; seg++)
{
currentThreshold += Math.Abs(scales[seg] - 1.0);
}
if (currentThreshold < bestThreshold)
{
bestThreshold = currentThreshold;
bestDurations = (double[])segmentDurations.Clone();
bestScales = (double[])scales.Clone();
bestSpline = spline;
bestIterations = iteration + 1;
bestWaypointTimes = (double[])waypointTimes.Clone();
}
if (currentThreshold < _threshold)
{
_logger?.LogDebug(
"ICSP 第 {Iteration} 轮收敛: threshold={CurrentThreshold:E6}",
iteration + 1, currentThreshold);
break;
}
for (int seg = 0; seg < nseg; seg++)
{
segmentDurations[seg] *= scales[seg];
}
}
if (bestSpline is null || bestDurations is null || bestScales is null || bestWaypointTimes is null)
{
throw new InvalidOperationException("ICSP 规划未能产生有效结果。");
}
var globalScale = bestScales.Max();
if (_enforceFinalScale && globalScale > 1.0 + _finalScaleTolerance)
{
_logger?.LogError(
"ICSP 规划未收敛: global_scale={GlobalScale:F6} > {Tolerance:F6}, 段缩放=[{Scales}]",
globalScale, 1.0 + _finalScaleTolerance,
string.Join(", ", bestScales.Select(s => s.ToString("F4"))));
throw new InvalidOperationException(
$"ICSP 规划未收敛,global_scale={globalScale:F6} > {1.0 + _finalScaleTolerance:F6},轨迹不可执行。");
}
_logger?.LogInformation(
"ICSP 规划完成: 名称={Name}, 迭代轮数={Iterations}, 收敛阈值={Threshold:E6}, 总时长={Duration:F4}s, global_scale={GlobalScale:F6}",
request.Program.Name, bestIterations, bestThreshold, bestWaypointTimes[^1], globalScale);
_logger?.LogDebug(
"ICSP 段时长: [{Durations}], 段缩放: [{Scales}]",
string.Join(", ", bestDurations.Select(d => d.ToString("F4"))),
string.Join(", ", bestScales.Select(s => s.ToString("F4"))));
return new PlannedTrajectory(
robot: request.Robot,
originalProgram: request.Program,
plannedWaypoints: waypoints,
waypointTimes: bestWaypointTimes,
segmentDurations: bestDurations,
segmentScales: bestScales,
method: PlanningMethod.Icsp,
iterations: bestIterations,
threshold: bestThreshold);
}
///
/// 把领域层路点列表转换成 double[][],方便数学运算。
///
private static double[][] WaypointsToArray(IReadOnlyList waypoints)
{
var result = new double[waypoints.Count][];
for (int i = 0; i < waypoints.Count; i++)
{
result[i] = waypoints[i].Positions.ToArray();
}
return result;
}
///
/// 从机器人配置中提取速度/加速度/jerk 限值数组。
///
private static (double[] vel, double[] acc, double[] jerk) ExtractLimits(RobotProfile robot)
{
int dof = robot.DegreesOfFreedom;
var vel = new double[dof];
var acc = new double[dof];
var jerk = new double[dof];
for (int d = 0; d < dof; d++)
{
vel[d] = robot.JointLimits[d].VelocityLimit;
acc[d] = robot.JointLimits[d].AccelerationLimit;
jerk[d] = robot.JointLimits[d].JerkLimit;
}
return (vel, acc, jerk);
}
///
/// 计算初始段时长:取相邻路点在关节空间的欧氏距离。
///
private static double[] ComputeInitialDurations(double[][] qs)
{
int n = qs.Length;
var durations = new double[n - 1];
for (int i = 0; i < n - 1; i++)
{
double sumSq = 0.0;
for (int d = 0; d < qs[i].Length; d++)
{
double diff = qs[i + 1][d] - qs[i][d];
sumSq += diff * diff;
}
durations[i] = Math.Sqrt(sumSq);
}
return durations;
}
///
/// 由段时长累加得到绝对时间节点(首项为 0)。
///
private static double[] CumulativeTimes(double[] segmentDurations)
{
int nseg = segmentDurations.Length;
var times = new double[nseg + 1];
times[0] = 0.0;
for (int i = 0; i < nseg; i++)
{
times[i + 1] = times[i] + segmentDurations[i];
}
return times;
}
}