Package rocks.palaiologos.maja

Class Pzeros

java.lang.Object

rocks.palaiologos.maja.Pzeros

class Pzeros
extends Object

Originally written by D. Bini in Fortran77.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
(package private) static class	Pzeros.doublecomplex

Field Summary

Fields

Modifier and Type	Field	Description
(package private) Pzeros.doublecomplex	c_b35
(package private) static Pzeros	pz

Constructor Summary

Constructors

Constructor	Description
Pzeros()

Method Summary

Modifier and Type	Method	Description
static void	aberth(double[] ar, double[] ai, boolean[] err)	Calculates the roots of polynomial functions y=a[0]+a[1]*x+a[2]*x^2+a[3]*x^3+...+a[n]*x^n of any degree n having arbitrary complex coefficients a[i].
(package private) void	aberth_(int n, int j, Pzeros.doublecomplex[] root, Pzeros.doublecomplex abcorr)
(package private) int	cmerge_(int n, double[] a, int i, int m, boolean[] h)
(package private) int	cnvex_(int n, double[] a, boolean[] h)
(package private) boolean	ctest_(int n, double[] a, int il, int i, int ir)
(package private) Pzeros.doublecomplex	dc()
(package private) Pzeros.doublecomplex	dc(double r, double i)
(package private) int	left_(int n, boolean[] h, int i, int[] il)
(package private) void	newton_(int n, Pzeros.doublecomplex[] poly, double[] apoly, double[] apolyr, Pzeros.doublecomplex z, double theSmall, double[] radius, Pzeros.doublecomplex corr, boolean[] again, int ik)
(package private) void	polzeros_(int n, Pzeros.doublecomplex[] poly, double eps, double big, double theSmall, int nitmax, Pzeros.doublecomplex[] root, double[] radius, boolean[] err, int[] iter, double[] apoly, double[] apolyr)
(package private) int	pow_ii(int ap, int bp)
(package private) int	right_(int n, boolean[] h, int i, int[] ir)
(package private) int	start_(int n, double[] a, Pzeros.doublecomplex[] y, double[] radius, int[] nz, double theSmall, double big, boolean[] h)
(package private) double	z_abs(Pzeros.doublecomplex z)
(package private) void	z_div(Pzeros.doublecomplex c, Pzeros.doublecomplex a, Pzeros.doublecomplex b)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Details

pz

static Pzeros pz

c_b35

Pzeros.doublecomplex c_b35

Constructor Details

Pzeros

Pzeros()

Method Details

aberth

public static void aberth(double[] ar,
 double[] ai,
 boolean[] err)

Calculates the roots of polynomial functions y=a[0]+a[1]*x+a[2]*x^2+a[3]*x^3+...+a[n]*x^n of any degree n having arbitrary complex coefficients a[i]. The method is derived from pzeros.f.

The real and imaginary parts of the coefficients are passed in two double arrays. The roots are returned in the same arrays. There are (n+1) coefficients and n roots. The coefficient a[n] must not be zero. Errors are returned in a boolean array separately for each root. Success is indicated by false, i.e. no error. On return each root should be checked against its flag.

All three arrays must be equal sized. This is a conveniance method which sets most accessible parameters to reasonable defaults. It also transparently deflates the polynomial in case the constant coefficient is zero. See the sources for a description of the method.

Parameters:

ar - realpart of polynomial coefficients a.

ai - imaginary part of polynomial coefficients a.

err - error flag for each root.

z_abs

double z_abs(Pzeros.doublecomplex z)

pow_ii

int pow_ii(int ap,
 int bp)

z_div

void z_div(Pzeros.doublecomplex c,
 Pzeros.doublecomplex a,
 Pzeros.doublecomplex b)

dc

Pzeros.doublecomplex dc()

dc

Pzeros.doublecomplex dc(double r,
 double i)

polzeros_

void polzeros_(int n,
 Pzeros.doublecomplex[] poly,
 double eps,
 double big,
 double theSmall,
 int nitmax,
 Pzeros.doublecomplex[] root,
 double[] radius,
 boolean[] err,
 int[] iter,
 double[] apoly,
 double[] apolyr)

newton_

void newton_(int n,
 Pzeros.doublecomplex[] poly,
 double[] apoly,
 double[] apolyr,
 Pzeros.doublecomplex z,
 double theSmall,
 double[] radius,
 Pzeros.doublecomplex corr,
 boolean[] again,
 int ik)

aberth_

void aberth_(int n,
 int j,
 Pzeros.doublecomplex[] root,
 Pzeros.doublecomplex abcorr)

start_

int start_(int n,
 double[] a,
 Pzeros.doublecomplex[] y,
 double[] radius,
 int[] nz,
 double theSmall,
 double big,
 boolean[] h)

cnvex_

int cnvex_(int n,
 double[] a,
 boolean[] h)

left_

int left_(int n,
 boolean[] h,
 int i,
 int[] il)

right_

int right_(int n,
 boolean[] h,
 int i,
 int[] ir)

cmerge_

int cmerge_(int n,
 double[] a,
 int i,
 int m,
 boolean[] h)

ctest_

boolean ctest_(int n,
 double[] a,
 int il,
 int i,
 int ir)