Math Function

【中文更新日志】

2.1 版本更新 - 弹道运动逻辑全面重写：

• 重写了箭矢、TNT 以及新增的烟花火箭的弹道计算，采用逐帧定位而非速度驱动，使轨迹精确贴合数学函数图像，消除原版因速度累积造成的偏差。
• 引入路径碰撞预检测，每 tick 检查飞行路径上的方块与实体：箭矢碰撞后恢复原版物理（含重力），TNT 碰撞后立即爆炸。
• 根据函数在当前点的切线斜率动态计算弹射物的俯仰角（pitch）和偏航角（yaw），飞行姿态更自然，朝向始终与曲线切线方向一致。
• 调整水平速度（HORIZONTAL_SPEED = 0.3）和轨迹缩放（TRAJECTORY_SCALE = 1.0），使轨迹表现更平滑，避免原版可能出现的跳跃感。
• 修复初始高度 f(0) 的定位逻辑，以发射点（origin）为参考基准，结合水平投影距离计算目标位置，确保不同发射角度下轨迹均正确。

【English Changelog】

Version 2.1 - Trajectory logic completely rewritten:

• Rewrote the trajectory calculation for arrows, TNT, and newly added fireworks, using per-tick position interpolation instead of velocity-driven motion, ensuring precise adherence to the mathematical function curve and eliminating deviations caused by accumulated velocity.
• Introduced pre-collision detection along the flight path; arrows revert to vanilla physics (with gravity) upon collision, and TNT explodes immediately.
• Dynamically sets pitch and yaw based on the tangent slope at each point, resulting in more natural flight attitudes aligned with the curve tangent.
• Adjusted HORIZONTAL_SPEED (now 0.3) and TRAJECTORY_SCALE (now 1.0) parameters for smoother trajectory performance, avoiding the stuttering effect of the previous version.
• Fixed initial height f(0) positioning: now uses the launch origin as reference and computes target positions from horizontal projection distance, ensuring correct trajectories for any firing angle.