package com.imsl.test.example.math;

import com.imsl.math.*;

/**
 * <p>
 * MinUncon Example 2: Minimizes a single variable function
 * using the analytic derivative.
 * </p>
 *
 * The minimum of \(e^x - 5x\) is found using function evaluations and first
 * derivative evaluations.
 *
 * @see <a href="MinUnconEx2.java">Code</a>
 * @see <a href="doc-files/MinUnconEx2.out">Output</a>
 */
public class MinUnconEx2 implements MinUncon.Derivative {

    @Override
    public double f(double x) {
        return Math.exp(x) - 5. * x;
    }

    @Override
    public double g(double x) {
        return Math.exp(x) - 5.;
    }

    public static void main(String args[]) {
        int n = 1;
        double xinit = 0.;
        double x[] = {0.};
        MinUncon zf = new MinUncon();
        zf.setGuess(xinit);
        zf.setAccuracy(.001);
        MinUnconEx2 fcn = new MinUnconEx2();
        x[0] = zf.computeMin(fcn);
        for (int k = 0; k < n; k++) {
            System.out.println("x[" + k + "] = " + x[k]);
        }
    }
}