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

Published on 12 May 2024 09:40 PM
#Algol w

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

Source code in the algol programming language

begin
    % computes the root-mean-square of an array of numbers with               %
    % the specified lower bound (lb) and upper bound (ub)                     %
    real procedure rms( real    array numbers ( * )
                      ; integer value lb
                      ; integer value ub
                      ) ;
        begin
            real sum;
            sum := 0;
            for i := lb until ub do sum := sum + ( numbers(i) * numbers(i) );
            sqrt( sum / ( ( ub - lb ) + 1 ) )
        end rms ;

    % test the rms procedure with the numbers 1 to 10                         %
    real array testNumbers( 1 :: 10 );
    for i := 1 until 10 do testNumbers(i) := i;
    r_format := "A"; r_w := 10; r_d := 4; % set fixed point output           %
    write( "rms of 1 .. 10: ", rms( testNumbers, 1, 10 ) );

end.

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