Assignment Set - 5

Please write your Roll Number, Name and Assignment Number at the header of each program.

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Assignment 5.a:        Filename: a5a.c

Rewrite the program for finding roots (Assignment 1.b) using two functions:

(a)    A function that returns the value of f(x) for a given value of x, where:

        f(x) = ( x² - 10x + 16 )( log₄ x - 2 )

       You had written this function in Assignment 3.a

(b)    A recursive function: findroot( low, high, precision ) which returns a root between low and high.

The recursive function uses the bisection method recursively to refine low or high at each level of recursion.
The recursion stops when |high - low| < precision

To copy the file a3a.c to a5a.c use the command cp a3a.c a5a.c from the command prompt.

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Assignment 5.b:        Filename: a5b.c

Write a recursive function, ipow(x, n), to return x to the power of n, where n is a non-negative integer, using repeated squaring, that is:

x²ⁿ = (xⁿ) × (xⁿ)      and       x²ⁿ⁺¹ = x × x²ⁿ.

Write a main program that reads a floating point number, x, and an integer, n, and calls the function to return and print the nth power of x. Also use a global variable, cnt, to count the number of multiplications performed.

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