运动公式

Movement formulas applied to a 3b jump.

玩家的移动可以通过序列精确计算。

The following formulas come from analyzing the game's source code.

Note that these formulas are not exact, due to how floats are computed.
When used for calculations, only the first 4-6 decimals should be considered accurate.
For a completely accurate simulation, you would need to replicate the source code.

• Vertical Movement (recursive formulas)
• Horizontal Movement (recursive formulas)
• Non-recursive formulas

Note:
Minecraft's coordinate system is oriented differently: 0° points towards "positive Z", and 90° points towards "negative X".
We choose to work in the standard coordinate system to make calculations more intuitive.