Package edu.princeton.cs.algs4
Class Complex
 Object

 edu.princeton.cs.algs4.Complex

public class Complex extends Object
TheComplex
class represents a complex number. Complex numbers are immutable: their values cannot be changed after they are created. It includes methods for addition, subtraction, multiplication, division, conjugation, and other common functions on complex numbers.This computes correct results if all arithmetic performed is without floatingpoint rounding error or arithmetic overflow. In practice, there will be floatingpoint rounding error.
For additional documentation, see Section 9.9 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.
 Author:
 Robert Sedgewick, Kevin Wayne


Constructor Summary
Constructors Constructor Description Complex(double real, double imag)
Initializes a complex number from the specified real and imaginary parts.

Method Summary
All Methods Static Methods Instance Methods Concrete Methods Modifier and Type Method Description double
abs()
Returns the absolute value of this complex number.Complex
conjugate()
Returns the complex conjugate of this complex number.Complex
cos()
Returns the complex cosine of this complex number.Complex
divides(Complex that)
Returns the result of dividing the specified complex number into this complex number.Complex
exp()
Returns the complex exponential of this complex number.double
im()
Returns the imaginary part of this complex number.static void
main(String[] args)
Unit tests theComplex
data type.Complex
minus(Complex that)
Returns the result of subtracting the specified complex number from this complex number.double
phase()
Returns the phase of this complex number.Complex
plus(Complex that)
Returns the sum of this complex number and the specified complex number.double
re()
Returns the real part of this complex number.Complex
reciprocal()
Returns the reciprocal of this complex number.Complex
scale(double alpha)
Returns the product of this complex number and the specified scalar.Complex
sin()
Returns the complex sine of this complex number.Complex
tan()
Returns the complex tangent of this complex number.Complex
times(Complex that)
Returns the product of this complex number and the specified complex number.String
toString()
Returns a string representation of this complex number.



Method Detail

toString
public String toString()
Returns a string representation of this complex number.

abs
public double abs()
Returns the absolute value of this complex number. This quantity is also known as the modulus or magnitude. Returns:
 the absolute value of this complex number

phase
public double phase()
Returns the phase of this complex number. This quantity is also known as the angle or argument. Returns:
 the phase of this complex number, a real number between pi and pi

plus
public Complex plus(Complex that)
Returns the sum of this complex number and the specified complex number. Parameters:
that
 the other complex number Returns:
 the complex number whose value is
(this + that)

minus
public Complex minus(Complex that)
Returns the result of subtracting the specified complex number from this complex number. Parameters:
that
 the other complex number Returns:
 the complex number whose value is
(this  that)

times
public Complex times(Complex that)
Returns the product of this complex number and the specified complex number. Parameters:
that
 the other complex number Returns:
 the complex number whose value is
(this * that)

scale
public Complex scale(double alpha)
Returns the product of this complex number and the specified scalar. Parameters:
alpha
 the scalar Returns:
 the complex number whose value is
(alpha * this)

conjugate
public Complex conjugate()
Returns the complex conjugate of this complex number. Returns:
 the complex conjugate of this complex number

reciprocal
public Complex reciprocal()
Returns the reciprocal of this complex number. Returns:
 the complex number whose value is
(1 / this)

re
public double re()
Returns the real part of this complex number. Returns:
 the real part of this complex number

im
public double im()
Returns the imaginary part of this complex number. Returns:
 the imaginary part of this complex number

divides
public Complex divides(Complex that)
Returns the result of dividing the specified complex number into this complex number. Parameters:
that
 the other complex number Returns:
 the complex number whose value is
(this / that)

exp
public Complex exp()
Returns the complex exponential of this complex number. Returns:
 the complex exponential of this complex number

sin
public Complex sin()
Returns the complex sine of this complex number. Returns:
 the complex sine of this complex number

cos
public Complex cos()
Returns the complex cosine of this complex number. Returns:
 the complex cosine of this complex number

tan
public Complex tan()
Returns the complex tangent of this complex number. Returns:
 the complex tangent of this complex number

main
public static void main(String[] args)
Unit tests theComplex
data type. Parameters:
args
 the commandline arguments

