Documentation of 'jhplot.math.Complex' Java class.
Complex
Skip navigation links
jhplot.math

Class Complex

  • All Implemented Interfaces:
    java.io.Serializable, java.lang.Cloneable

    public class Complex
extends java.lang.Object
implements java.lang.Cloneable, java.io.Serializable
    Complex implements a complex number and defines complex arithmetic and mathematical functions Last Updated February 27, 2001 Copyright 1997-2001
    See Also:
    Serialized Form

    • Constructor Summary

      Constructors 
      Constructor and Description
      Complex(double u, double v)
      Constructs the complex number z = u + i*v

    • Method Summary

      All Methods Instance Methods Concrete Methods 
      Modifier and Type Method and Description
      double arg()
      Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).
      Complex chs()
      Negative of this complex number (chs stands for change sign).
      java.lang.Object clone() 
      Complex conj()
      Complex conjugate of this Complex number (the conjugate of x+i*y is x-i*y).
      Complex cos()
      Cosine of this Complex number (doesn't change this Complex number).
      Complex cosh()
      Hyperbolic cosine of this Complex number (doesn't change this Complex number).
      Complex div(Complex w)
      Division of Complex numbers (doesn't change this Complex number).
      Complex divide(double k)
      Returns this complex divided by the specified factor.
      Complex exp()
      Complex exponential (doesn't change this Complex number).
      double imag()
      Imaginary part of this Complex number (the y-coordinate in rectangular coordinates).
      Complex log()
      Principal branch of the Complex logarithm of this Complex number.
      Complex minus(Complex w)
      Subtraction of Complex numbers (doesn't change this Complex number).
      Complex minusReal(double w)
      Subtraction from real part
      double mod()
      Modulus of this Complex number (the distance from the origin in polar coordinates).
      Complex plus(Complex w)
      Addition of Complex numbers (doesn't change this Complex number).
      double real()
      Real part of this Complex number (the x-coordinate in rectangular coordinates).
      Complex sin()
      Sine of this Complex number (doesn't change this Complex number).
      Complex sinh()
      Hyperbolic sine of this Complex number (doesn't change this Complex number).
      Complex sqrt()
      Complex square root (doesn't change this complex number).
      Complex tan()
      Tangent of this Complex number (doesn't change this Complex number).
      Complex times(Complex w)
      Complex multiplication (doesn't change this Complex number).
      Complex times(double k)
      Returns this complex multiplied by the specified factor.
      java.lang.String toString()
      String representation of this Complex number.

      • Methods inherited from class java.lang.Object

        equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

    • Constructor Detail

      • Complex

        public Complex(double u,
               double v)
        Constructs the complex number z = u + i*v
        Parameters:
        u - Real part
        v - Imaginary part

    • Method Detail

      • real

        public double real()
        Real part of this Complex number (the x-coordinate in rectangular coordinates).
        Returns:
        Re[z] where z is this Complex number.

      • imag

        public double imag()
        Imaginary part of this Complex number (the y-coordinate in rectangular coordinates).
        Returns:
        Im[z] where z is this Complex number.

      • mod

        public double mod()
        Modulus of this Complex number (the distance from the origin in polar coordinates).
        Returns:
        |z| where z is this Complex number.

      • arg

        public double arg()
        Argument of this Complex number (the angle in radians with the x-axis in polar coordinates).
        Returns:
        arg(z) where z is this Complex number.

      • conj

        public Complex conj()
        Complex conjugate of this Complex number (the conjugate of x+i*y is x-i*y).
        Returns:
        z-bar where z is this Complex number.

      • plus

        public Complex plus(Complex w)
        Addition of Complex numbers (doesn't change this Complex number).
        (x+i*y) + (s+i*t) = (x+s)+i*(y+t).
        Parameters:
        w - is the number to add.
        Returns:
        z+w where z is this Complex number.

      • minus

        public Complex minus(Complex w)
        Subtraction of Complex numbers (doesn't change this Complex number).
        (x+i*y) - (s+i*t) = (x-s)+i*(y-t).
        Parameters:
        w - is the number to subtract.
        Returns:
        z-w where z is this Complex number.

      • minusReal

        public Complex minusReal(double w)
        Subtraction from real part
        Parameters:
        w - real value for subtraction

      • times

        public Complex times(Complex w)
        Complex multiplication (doesn't change this Complex number).
        Parameters:
        w - is the number to multiply by.
        Returns:
        z*w where z is this Complex number.

      • times

        public Complex times(double k)
        Returns this complex multiplied by the specified factor.
        Parameters:
        k - the factor multiplier.
        Returns:
        this * k.

      • divide

        public Complex divide(double k)
        Returns this complex divided by the specified factor.
        Parameters:
        k - the factor divisor.
        Returns:
        this / k.

      • div

        public Complex div(Complex w)
        Division of Complex numbers (doesn't change this Complex number).
        (x+i*y)/(s+i*t) = ((x*s+y*t) + i*(y*s-y*t)) / (s^2+t^2)
        Parameters:
        w - is the number to divide by
        Returns:
        new Complex number z/w where z is this Complex number

      • exp

        public Complex exp()
        Complex exponential (doesn't change this Complex number).
        Returns:
        exp(z) where z is this Complex number.

      • log

        public Complex log()
        Principal branch of the Complex logarithm of this Complex number. (doesn't change this Complex number). The principal branch is the branch with -pi < arg <= pi.
        Returns:
        log(z) where z is this Complex number.

      • sqrt

        public Complex sqrt()
        Complex square root (doesn't change this complex number). Computes the principal branch of the square root, which is the value with 0 <= arg < pi.
        Returns:
        sqrt(z) where z is this Complex number.

      • sin

        public Complex sin()
        Sine of this Complex number (doesn't change this Complex number).
        sin(z) = (exp(i*z)-exp(-i*z))/(2*i).
        Returns:
        sin(z) where z is this Complex number.

      • cos

        public Complex cos()
        Cosine of this Complex number (doesn't change this Complex number).
        cos(z) = (exp(i*z)+exp(-i*z))/ 2.
        Returns:
        cos(z) where z is this Complex number.

      • sinh

        public Complex sinh()
        Hyperbolic sine of this Complex number (doesn't change this Complex number).
        sinh(z) = (exp(z)-exp(-z))/2.
        Returns:
        sinh(z) where z is this Complex number.

      • cosh

        public Complex cosh()
        Hyperbolic cosine of this Complex number (doesn't change this Complex number).
        cosh(z) = (exp(z) + exp(-z)) / 2.
        Returns:
        cosh(z) where z is this Complex number.

      • tan

        public Complex tan()
        Tangent of this Complex number (doesn't change this Complex number).
        tan(z) = sin(z)/cos(z).
        Returns:
        tan(z) where z is this Complex number.

      • chs

        public Complex chs()
        Negative of this complex number (chs stands for change sign). This produces a new Complex number and doesn't change this Complex number.
        -(x+i*y) = -x-i*y.
        Returns:
        -z where z is this Complex number.

      • clone

        public java.lang.Object clone()
        Overrides:
        clone in class java.lang.Object

      • toString

        public java.lang.String toString()
        String representation of this Complex number.
        Overrides:
        toString in class java.lang.Object
        Returns:
        x+i*y, x-i*y, x, or i*y as appropriate.
Skip navigation links

DMelt 3.0 © DataMelt by jWork.ORG