java.math class and its methods | Set 1

Math class provides mathematical functions to preform basic numeric operations such as exponential, logarithm, square root, and trigonometric functions. cosh, sin, tan, abs, bitLength, multiply and many more. Implementations of the functions of Math class do not return bit-for-bit same results. Hence, perform better implementations.

Class Declaration

public final class Math  extends Object

This set explains following methods:
java.math class methods



Methods

    1. signum() : java.math.signum() method returns the signum value of the argument passed.
                                          -1    if x < 0
                          signum fun(x) =  0    if x = 0
                                           1    if x > 0
      

      Note:

        Result is NaN, if passed the argument is NaN.;

      Syntax:

      public static double signum(double x)
                     or
      public static float signum(float x)
      Parameters:
      x - the argument whose signum value we need
      Returns:
      signum value of x
      
    2. round() : java.math.round() method round off the passed argument upto closest decimal places.
      Note: Result is 0, if the argument is NaN.
      Syntax:

      public static long round(long arg)
                   or
      public static double round(double arg)
      Parameters:
      arg - argument needs to round off 
      Returns:
      round off value of the argument
      
    3. max() : java.math.max(double v1, double v2) method returns the greater value out of the two passed argument values.
      This method just compares using magnitude without considering any sign.
      Syntax:

      public static double max(double v1, double v2)
      Parameters:
      v1 - first value
      v2 - second value
      Returns:
      v1 or v2 based on which number is greater.
      It can return either of the two if v1 = v2. 
      

Java code explaining signum(), round(), max() method in Math class.

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// Java code explaining the Math Class methods
// signum(), round(), max()
import java.lang.*;
public class NewClass
{
    public static void main(String args[])
    {
        // Use of signum() method
        double x = 10.4556, y = -23.34789;
        double signm = Math.signum(x);
        System.out.println("Signum of 10.45  = " + signm);
  
        signm = Math.signum(y);
        System.out.println("Signum of -23.34 = " + signm);
        System.out.println("");
  
        // Use of round() method
        double r1 = Math.round(x);
        System.out.println("Round off 10.4556  = " + r1);
  
        double r2 = Math.round(y);
        System.out.println("Round off 23.34789 = " + r2);
        System.out.println("");
  
        // Use of max() method on r1 and r2
        double m = Math.max(r1, r2);
        System.out.println("Max b/w r1 and r2 = " + r2);
    }
}

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Output:

Signum of 10.45  = 1.0
Signum of -23.34 = -1.0

Round off 10.4556  = 10.0
Round off 23.34789 = -23.0

Max b/w r1 and r2 = -23.0
    1. log1p() : java.math.log1p() method returns natural log of (passed argument + 1).
      Syntax:

      public static double log1p(double arg)
      Parameters:
      arg - the argument
      Returns:
      log of (argument + 1).
      This result is within 1 unit in the last place of exact result.
      
    2. ulp() : java.math.ulp() method returns Unit of least precision(ulp) ie. the least distance between two floating point numbers.
      Here, it is the least distance b/w the argument and next larger value.
      Syntax:

      public static double ulp(double arg)
                    or
      public static float ulp(float arg)
      Parameters:
      arg - argument passed. 
      Returns:
      least distance b/w the argument and next larger value.
      

Java code explaining ulp(), log1p() method in Math class.

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// Java code explaining the Math Class methods
// ulp(), log1p()
import java.lang.*;
public class NewClass
{
    public static void main(String args[])
    {
        // Use of ulp() method
        double x = 34.652, y = -23.34789;
        double u = Math.ulp(x);
        System.out.println("ulp of 34.652    : " + u);
  
        u = Math.ulp(y);
        System.out.println("ulp of -23.34789 : " + u);
        System.out.println("");
  
        // Use of log() method
        double l = 99;
        double l1 = Math.log1p(l);
        System.out.println("Log of (1 + 99)  : " + l1);
  
        l1 = Math.log(100);
        System.out.println("Log of 100       : " + l1);
    }
}

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Output:

ulp of 34.652    : 7.105427357601002E-15
ulp of -23.34789 : 3.552713678800501E-15

Log of (1 + 99)  : 4.605170185988092
Log of 100       : 4.605170185988092

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