Suppose in the year 2102 that evaluating x<0.72 for an input parameter x becomes an important operation to do quickly. As such, CPU manufacturers want to evaluate this operation approximately in hardware as a single x86 operation, f_p72. As a computer engineer, you are tasked with creating the necessary components to execute the f_p72 instruction. Suppose that the function f_hat(x) carries out the f_p72 instruction for a given floating point input x. That is, f_hat(x) evaluates the approximation of x0.72. Write a short program to evaluate the magnitude of the relative error in evaluating 20.72 using f_hat for the input x. f_hat(x) is a function that evaluates an approximation to x0.72 for a given floating point input x. x is a floating point number. Store the magnitude of the relative error in using the approximation f_hat in relative_error.
The setup code gives the following variables:
Name Type Description
f_hat function a function which has the same effect as the fp72 instruction
x a floating point number floating point number
Your code snippet should define the following variables:
Name Type Description
relative_error floating point numbe r the relative error in evaluating x0.72 using f_hat