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I am doing interval bisection in my numerical analysis class and I'm a little confused on trying to complete the C program to get the

I am doing interval bisection in my numerical analysis class and I'm a little confused on trying to complete the C program to get the interval bisection to work. image text in transcribed
image text in transcribed
The interval bisection method works iff the function is continuous and you can establish an initial left & right guess, such that: f(left) and f(right) have different signs (i.e.: one is positive and the other negative) COMPILE THIS CODE BY RUNNING: gcc interval_bisection04_lab.c-Im The -Im links with the math library * #include #include #include double f1 (double x) double y; y = x*x-2; return y; } double f2 (double x) // three roots, 11 -3 - sqrt(3) = -4.732050, // -3 + sqrt(3) = -1.267949, // 6 { double y: y = x*x*x - 30*x - 36; return y; } // f points at a function with one double input and a double output int interval_bisection(double (*f)(double x), double left, double right, double epsilon, int maxreps, double results[2]) // return 0 failure, else 'numreps' (>= 1) // 'maxreps' is the maximum iterations through the loop { // example of a valid function call to f: || double fl; // fl = f(left); // The algorithm should continue until 'maxreps' iterations have been // performed or the width of the interval is within 'epsilon' // your code goes here! } The interval bisection method works iff the function is continuous and you can establish an initial left & right guess, such that: f(left) and f(right) have different signs (i.e.: one is positive and the other negative) COMPILE THIS CODE BY RUNNING: gcc interval_bisection04_lab.c-Im The -Im links with the math library * #include #include #include double f1 (double x) double y; y = x*x-2; return y; } double f2 (double x) // three roots, 11 -3 - sqrt(3) = -4.732050, // -3 + sqrt(3) = -1.267949, // 6 { double y: y = x*x*x - 30*x - 36; return y; } // f points at a function with one double input and a double output int interval_bisection(double (*f)(double x), double left, double right, double epsilon, int maxreps, double results[2]) // return 0 failure, else 'numreps' (>= 1) // 'maxreps' is the maximum iterations through the loop { // example of a valid function call to f: || double fl; // fl = f(left); // The algorithm should continue until 'maxreps' iterations have been // performed or the width of the interval is within 'epsilon' // your code goes here! }

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