Numerical · Integrity

This page documents library functions that purely process numbers.

Minmax Clamp

f_ ext{clamp} left(, s, s_ ext{min}, s_ ext{max} , ight)

Clamp a number $s$ between $s_\text{min}$ and $s_\text{max}$ .

Arguments

Argument	Description	Domain
$s$	input	$\mathbb{R}$
$s_\text{min}$	lower bound	$\mathbb{R}$
$s_\text{max}$	upper bound	$\mathbb{R}$

Return

Value	Description	Codomain	Constraints	Notes
$\omega$	clamped value	$\mathbb{R}$	$s_\text{min} \leq \omega \leq s_\text{max}$

Usage

f_{clamp}\left(s,\ s_{min},\ s_{max}\right)=\left\{s<s_{min}\ :\ s_{min},\ s>s_{max}\ :\ s_{max},\ s\right\}
f_{clamp}\left(42,\ 0,\ 1\right)
f_{clamp}\left(x,\ -10,\ 10\right)

Implementation

f_ ext{clamp} left(, s, s_ ext{min}, s_ ext{max} , ight) = left{s<s_{min} : s_{min}, s>s_{max} : s_{max}, s ight}

Dependencies

None