How to resolve the algorithm Forward difference step by step in the AutoHotkey programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Forward difference step by step in the AutoHotkey programming language
Table of Contents
Problem Statement
Provide code that produces a list of numbers which is the nth order forward difference, given a non-negative integer (specifying the order) and a list of numbers.
The first-order forward difference of a list of numbers A is a new list B, where Bn = An+1 - An. List B should have one fewer element as a result. The second-order forward difference of A will be: The same as the first-order forward difference of B. That new list will have two fewer elements than A and one less than B. The goal of this task is to repeat this process up to the desired order. For a more formal description, see the related Mathworld article.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Forward difference step by step in the AutoHotkey programming language
Source code in the autohotkey programming language
MsgBox % diff("2,3,4,3",1)
MsgBox % diff("2,3,4,3",2)
MsgBox % diff("2,3,4,3",3)
MsgBox % diff("2,3,4,3",4)
diff(list,ord) { ; high order forward differences of a list
Loop %ord% {
L =
Loop Parse, list, `, %A_Space%%A_Tab%
If (A_Index=1)
p := A_LoopField
Else
L .= "," A_LoopField-p, p := A_LoopField
list := SubStr(L,2)
}
Return list
}
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