マウス移動

マウス移動は、画面上でのマウスカーソルの瞬間的な移動量を指す（単位はピクセル）: （${\textstyle dx,dy}$）。

Minecraftにおいては、マウス移動は視点の瞬間的な回転量を表す（単位は度）:（${\textstyle \Delta x,\Delta y}$）。

マウス感度

マウス感度（s）は、視点の回転速度を変更するパラメーター。

This setting can be changed in the Controls menu.

• The default sensitivity is "100%" (${\textstyle s=0.5}$)

• The lowest vanilla sensitivity is "0%" (${\textstyle s=0.0}$)
• The highest vanilla sensitivity is "200%" (${\textstyle s=1.0}$)

In 1.8, ${\textstyle \Delta x}$ is calculated as:

$\Delta x=1.2dx\times (0.6s+0.2)^{3}$

${\textstyle \Delta y}$ is obtained in the same way, and is multiplied by -1 if "Invert Mouse" is ON.

With default sensitivity (${\textstyle s=0.5}$), one pixel of mouse movement translates into 0.15° of rotation.

This means that the camera moves in increments of 0.15°: to turn 45°, you would need to move your mouse by 300px.

Furthermore, s isn't technically bounded by [0,1], and can take any value (even negative).

You can manually edit the value of mouseSensitivity in the options.txt file (found in the .minecraft folder)

Be warned that modifying the options.txt file may or may not be allowed on servers.

Remarkable values

Since it's possible to set the sensitivity to any value we want, it might be interesting to adjust the sensitivity to match specific rotation increments.

To get the required sensitivity for the desired increment ${\textstyle \delta }$, we can use the inverse formula:

$s={\frac {{\sqrt[{3}]{\frac {\delta }{1.2}}}-0.2}{0.6}}$

This table lists remarkable increments of rotation, and the corresponding values of s.

${\textstyle \delta }$	s
0°	-0.3333333
0.1°	0.3946504
0.15°	0.5
0.25°	0.6546926
0.5°	0.9115013
1°	1.2350600
45°	5.2452746
180°	8.5221547

Yaw and Pitch

Yaw (horizontal rotation) and pitch (vertical rotation) are floats that keep track of an entity's head rotation.

Facing is the restriction of the yaw to [-180, 180], as it is represented in F3. Pitch is naturally clamped between [-90, 90].

Mouse movement directly modifies the player's yaw and pitch:

/* In EntityRenderer.java */
public void updateMouseMovement(...)
{
    ... //previous code ignored
</div>

    <div lang="en" dir="ltr" class="mw-content-ltr">
float f = this.mc.gameSettings.mouseSensitivity * 0.6F + 0.2F;
    float mult = f * f * f * 8.0F;
    float dX = (float)this.mc.mouseHelper.deltaX * mult;
    float dY = (float)this.mc.mouseHelper.deltaY * mult;
</div>

    <div lang="en" dir="ltr" class="mw-content-ltr">
int i = 1;
    if (this.mc.gameSettings.invertMouse)
        i = -1;
</div>

    <div lang="en" dir="ltr" class="mw-content-ltr">
... //Applies filters if smooth camera
</div>

    <div lang="en" dir="ltr" class="mw-content-ltr">
this.mc.thePlayer.rotateEntity(dX, dY*i);
}
</div>


<div lang="en" dir="ltr" class="mw-content-ltr">
/* In Entity.java */
public void rotateEntity(float dX, float dY)
{
    this.rotationYaw = this.rotationYaw + dX*0.15);
    this.rotationPitch = this.rotationPitch - dY*0.15;
    this.rotationPitch = MathHelper.clamp(this.rotationPitch, -90.0, 90.0);
}

While the pitch is clamped between -90° and 90°, yaw is not restricted between -180° and 180° as would be expected.

This means that yaw is unbounded, which has some unintended consequences if you deliberately turn in one direction for long enough.

By nature of being a float, its precision becomes worse the bigger it gets, to the point where it becomes noticeably jittery at large values.

• When $|yaw|>4194304$ (${\textstyle 2^{22}}$) it can only increase in increments of 0.5°.
• When $|yaw|>8388608$ (${\textstyle 2^{23}}$) it can only increase in increments of 1°.

At some point, yaw can even mess with movement and stop the player in place.

This is because the yaw gets too large to be converted to a proper angle (see Angles).

This phenomenon happens when $|yaw|\geq 11796480=360\times 2^{15}$.

Turning even further can crash the game, when ${\textstyle |yaw|>8.59\times 10^{9}}$