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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