Consider the following program,
formatSpec = 'With %d sqrt, then %d times ^2 operations, the number %.16f becomes: %.16f \n'; % the string format for fprintf function
for n = 1:60
r_original = 2.0;
r = r_original;
for i = 1:n
r = sqrt(r);
end
for i = 1:n
r = r^2;
end
fprintf(formatSpec,n,n,r_original,r);
end
Explain what this code does. Then run the code, and explain why do you see the behavior observed. In particular, why do you not recover the original value $2.0$ after many repetitions of the same forward and reverse task of taking the square root and squaring the result?
Consider the following program,
from math import sqrt
for n in range(1, 60):
r_org = 2.0
r = r_org
for i in range(n):
r = sqrt(r)
for i in range(n):
r = r ** 2
print ('With {} times sqrt and then {} times **2, the number {} becomes: {:.16f}'.format(n,n,r_org,r))
Explain what this code does. Then run the code, and explain why do you the behavior observed. In particular, why do you not recover the original value $2$ after many repetitions of the same forward and reverse task?
