WolframLang: Iteration, Recursion

By Xah Lee. Date: . Last updated: .

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recursion of function with 1 arg

Nest
Recursion of a function n times.
Nest[f, x, 3] === f[f[f[x]]]
Nest
NestList
Like Nest but return a list of all steps.
NestList[f, x, 3] === {x, f[x], f[f[x]], f[f[f[x]]]}
NestList
NestWhile
Like Nest, but with a condition when to stop. NestWhile
NestWhileList
Like NestWhile but return a list of all steps. NestWhileList
FixedPoint
Recursion of a function until result no longer changes. FixedPoint
FixedPointList
Like FixedPoint but return a list of all steps. FixedPointList

recursion of function with 2 args

Fold
Similar to reduce in JavaScript and Python .
Fold[f, x, {a,b,c}] === f[f[f[x, a], b], c]
Fold
FoldList
Like Fold but return a list of all steps.
FoldList[f, x, {a,b,c}] === {x, f[x, a], f[f[x, a], b], f[f[f[x, a], b], c]}
FoldList
FoldWhile
Like Fold but with a condition test to stop. FoldWhile
FoldWhileList
Like FoldWhile but return a list of all steps.

FunctionalIteration

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