A) Write a MATLAB function that computes precision for a given reference value.

Question

A) Write a MATLAB function that computes precision for a given reference value.

A prototype of the function is given here:

function [precision] = PrecisionVersusBase( base ) % returns precision

The algorithm for computing the precision is given in the pseudo code below

precision = base

WHILE( base + precision > base )      

precision = precision / 2

precision = precision * 2

B)

Using the function from part A, compute precision for a reference value equal to 1.0 to
1e-30, reducing it by a factor of 10 each step. ( base = base/10.0; ) Write out the results of each case to a Comma  Separated Values (CSV) file*.  Write out the precision, and the base, along with the ratio of precision and base, in other words writeout base, precision and precision/base. Document these results in your report.

First, plot the base versus precision and then plot base versus the ratio. Due to the geometricnature in the progression of base, base/10 at each step, a log scale might be helpful.The MATLAB function loglog is the same as plot, except each axis (x and y) will use a log scale.

Explanation / Answer

Answer

For A, below is the matlab function:

function [precision] = PrecisionVersusBase( base )
precision = base
while base + precision > base
precision = precision / 2;
end
precision = precision * 2;

For B, below is the matlab code:

function [precision] = PrecisionVersusBase( base )
while base != 1
precision = base
while base + precision > base
precision = precision / 2;
end
precision = precision * 2;
% store the precision in the required file here
base = base/10;
end

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