Interpolation · Integrity

This page documents library functions related to interpolation.

Linear Interpolation

f_ ext{lerp} left(, s_ ext{start}, s_ ext{stop}, t , ight)

Interpolate between $s_\text{start}$ and $s_\text{stop}$ .

Argument	Description	Domain	Constraints
$s_\text{start}$	lower bound	$\mathbb{R}$
$s_\text{stop}$	upper bound	$\mathbb{R}$
$t$	progression	$\mathbb{R}$	$0 \leq t \leq 1$

Value	Description	Codomain	Constraints	Notes
$\omega$	interpolated value	$\mathbb{R}$	$\omega \in [s_\text{start}, s_\text{stop}]$	Can go outside range if $t$ is not in $[0, 1]$ .

f_{lerp}left(s_{start}, s_{stop}, t\right)=s_{start}+tleft(s_{stop}-s_{start}\right)
f_{lerp}left(0, 100, 0.37\right)

f_ ext{lerp} left(, s_ ext{start}, s_ ext{stop}, t , ight) = s_{start}+tleft(s_{stop}-s_{start} ight)

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