Range · Integrity

Base: $f$

This page documents library functions related to generating sequences.

Linearly Spaced Range

f_ ext{nrange} left(, s_ ext{start}, s_ ext{stop}, n , ight)

Arguments

Argument	Description	Type	Constraints
$s_\text{start}$	lower bound of the range	$\mathbb{R}$
$s_\text{stop}$	upper bound of the range	$\mathbb{R}$
$n$	number of numbers in the range	$\mathbb{Z}^{+}$	$0 < n$

Return

Description	Type	Constraints	Notes
range	$[\mathbb{R}, ...]$

Usage

f_{nrange}\left(s_{start},\ s_{stop},\ n\right)=\left[\left(s_{start}+i\left(\frac{s_{stop}-s_{start}}{n-1}\right)\right)\operatorname{for}i=\left[0...\left(n-1\right)\right]\right]
f_{nrange}\left(1,\ 10,\ 10\right)
f_{nrange}\left(0,\ 1,\ 5\right)

Implementation

f_ ext{nrange} left(, s_ ext{start}, s_ ext{stop}, n , ight) = left[ left(s_{start}+ileft( rac{s_{stop}-s_{start}}{n-1} ight) ight)operatorname{for}i=left[0...left(n-1 ight) ight] ight]

Dependencies

None

Step-Wise List Range

egin{align*} & f_ ext{lsrange} left( l, s_ ext{period}, s_ ext{offset} ight) \[1em] =& left[ left( s_ ext{offset} + (i-1) cdot s_ ext{period} ight) space ext{for} space i = left[ 1 ext{...} rac { ext{length}(l)} {s_ ext{period}} ight] ight] end{align*}

Generate a list of integers corresponding to indices of chunks of a list.