public class RootsOfUnity extends Object implements Serializable
n-th roots of
 unity.| Constructor and Description | 
|---|
| RootsOfUnity()Build an engine for computing the  n-th roots of unity. | 
| Modifier and Type | Method and Description | 
|---|---|
| void | computeRoots(int n)
 Computes the  n-th roots of unity. | 
| double | getImaginary(int k)Get the imaginary part of the  k-thn-th root of unity. | 
| int | getNumberOfRoots()Returns the number of roots of unity currently stored. | 
| double | getReal(int k)Get the real part of the  k-thn-th root of unity. | 
| boolean | isCounterClockWise() | 
public RootsOfUnity()
n-th roots of unity.public boolean isCounterClockWise()
                           throws MathIllegalStateException
true if computeRoots(int) was called with a
 positive value of its argument n. If true, then
 counter-clockwise ordering of the roots of unity should be used.true if the roots of unity are stored in
 counter-clockwise orderMathIllegalStateException - if no roots of unity have been computed
 yetpublic void computeRoots(int n)
                  throws ZeroException
 Computes the n-th roots of unity. The roots are stored in
 omega[], such that omega[k] = w ^ k, where
 k = 0, ..., n - 1, w = exp(2 * pi * i / n) and
 i = sqrt(-1).
 
 Note that n can be positive of negative
 
abs(n) is always the number of roots of unity.n > 0, then the roots are stored in counter-clockwise order.n < 0, then the roots are stored in clockwise order.
 n - the (signed) number of roots of unity to be computedZeroException - if n = 0public double getReal(int k)
               throws MathIllegalStateException,
                      MathIllegalArgumentException
k-th n-th root of unity.k - index of the n-th root of unityk-th n-th root of unityMathIllegalStateException - if no roots of unity have been
 computed yetMathIllegalArgumentException - if k is out of rangepublic double getImaginary(int k)
                    throws MathIllegalStateException,
                           OutOfRangeException
k-th n-th root of unity.k - index of the n-th root of unityk-th n-th root of unityMathIllegalStateException - if no roots of unity have been
 computed yetOutOfRangeException - if k is out of rangepublic int getNumberOfRoots()
computeRoots(int) was called with n, then this method
 returns abs(n). If no roots of unity have been computed yet, this
 method returns 0.Copyright © 2003–2016 The Apache Software Foundation. All rights reserved.