fp::nestvals

Repeated composition returning intermediate values

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Syntax

fp::nestvals(f, n)

Description

fp::nestvals(f, n) returns a function which applies the function fn-fold repeatedly to its argument and returns the intermediate n + 1 values as a list.

Thus fp::nestvals returns the function

The function returned is equivalent to [_fnest(f,i) $i=0..n], but more efficient.

Examples

Example 1

Apply f 3 times nested to x:

fp::nestvals(f, 3)(x)

Example 2

Apply cos 4 times nested to 1.0 and return the result and intermediate values:

fp::nestvals(cos, 4)(1.0)

Parameters

f	Function
n	Nonnegative integer

Return Values

Function.