Java Abs absApproximation(double x, double M)

Description

abs Approximation

License

Open Source License

Declaration

public static double absApproximation(double x, double M) 

Method Source Code

//package com.java2s;

public class Main {
    public static double absApproximation(double x, double M) {
        return huberPenaltyFunction(x, M) / (2 * M);
    }/*from  w w  w  .j  av  a2 s.  c  o  m*/

    /**
     * This function computes the Huber penalty function of an 
     * input. The Huber penalty function is equal to x^2 for |x| <= M, 
     * and linear for |x| > M.
     * @param x the value at which to compute the Huber penalty function
     * @param M the parameter which determines the linear/quadratic region
     * @return The Huber penalty function at x
     */
    public static double huberPenaltyFunction(double x, double M) {
        if (Math.abs(x) <= M) {
            return x * x;
        } else {
            return M * (2 * Math.abs(x) - M);
        }
    }
}

Related

1. abs2(double[][] IN)
2. abs2(float[] f)
3. abs_fractional(double number)
4. abs_min(double a, double b)
5. absAngleDifference(double angle1Radians, double angle2Radians)
6. absCap(double value, double bounds)
7. absClamp(double value, double bounds)
8. absDegrees(double degrees)
9. absDelta(double a, double b)