How to resolve the algorithm Averages/Root mean square step by step in the AutoHotkey programming language

Published on 12 May 2024 09:40 PM
#Autohotkey

How to resolve the algorithm Averages/Root mean square step by step in the AutoHotkey programming language

Table of Contents

Problem Statement

Compute the   Root mean square   of the numbers 1..10.

The   root mean square   is also known by its initials RMS (or rms), and as the quadratic mean. The RMS is calculated as the mean of the squares of the numbers, square-rooted:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Averages/Root mean square step by step in the AutoHotkey programming language

Source code in the autohotkey programming language

MsgBox, % RMS(1, 10)


;---------------------------------------------------------------------------
RMS(a, b) { ; Root Mean Square of integers a through b
;---------------------------------------------------------------------------
    n := b - a + 1
    Loop, %n%
        Sum += (a + A_Index - 1) ** 2
    Return, Sqrt(Sum / n)
}


MsgBox, % RMS(1, 10)


;---------------------------------------------------------------------------
RMS(a, b) { ; Root Mean Square of integers a through b
;---------------------------------------------------------------------------
    Return, Sqrt((b*(b+1)*(2*b+1)-a*(a-1)*(2*a-1))/6/(b-a+1))
}

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