Program # 2 : SURFACE ROUGHNESS

Engineers use several measures of the roughness of a surface of an object. These measures are based on measurements of deviations of the actual surface from its intended shape (see the visual). These deviations are provided in the file surface.txt. You must use it and also submit it under the name xxxx3padata.txt. Note that the first line of the file starts with the numbers. Each number represents a measurement ( d1, d2, d3, .) at a different point of the surface. Positive values indicate location above the intended reference surface and negative values below the reference. There are n=56 measurements

The main measures of roughness are;

arithemtic mean value : Ra = (Id1I + Id2I + Id3I+...)/n

Root -mean -square(RMS) average: Rq = square-root(((d1)^2+(d2)^2+(d3)^2+)/n)

Maximum roughness height: Rm = distance between lowest trough to highest peak

Write a program in C++ that reads these measurements from the file surface.txt and computes these three measures.

Surface.txt file is

-4.1 -2.2 -0.5 1.2 3.3 4.6 5.1 2.1 5.7 0.2 -8.1 3.6 -3.1 1.2 0.5 2.2 4.1 2.5 7.2 -2.3 5.1 7.3 4.5 1.7 -0.2 -1.2 -3.3 -4.6 -5.0 -2.2 -1.1 0.8 3.2 -0.1 -4.8 7.2 -4.7 1.2 2.3 0.5 5.7 -0.2 5.1 4.6 -3.1 1.2 0.5 5.2 4.1 2.5 7.2 -2.3 5.1 7.3 4.5 1.7

The above numbers are measurements of depth deviations ( in microns )from a reference position. There are 56 measurements. One micron is 1.0e-06 of a meter or 1/25.4 of a mil. A mil is a thousandth of an inch.