edu.jas.arith

Class Roots

java.lang.Object

edu.jas.arith.Roots

public class Roots
extends java.lang.Object

Root computation algorithms. Roots for BigInteger and BigDecimals.

Author:

Heinz Kredel

Constructor Summary

Constructors

Constructor and Description
Roots()

Method Summary

Modifier and Type	Method and Description
static BigDecimal	root(BigDecimal A, int n) N-th root.
static BigInteger	root(BigInteger A, int n) Integer n-th root.
static BigComplex	sqrt(BigComplex A) Square root.
static BigDecimal	sqrt(BigDecimal A) Square root.
static BigDecimalComplex	sqrt(BigDecimalComplex a) Complex decimal number square root.
static BigInteger	sqrt(BigInteger A) Integer square root.
static BigRational	sqrt(BigRational A) Square root.
static BigInteger	sqrtInt(BigInteger A) Integer square root.

Methods inherited from class java.lang.Object

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

Constructor Detail

Roots

public Roots()

Method Detail

root

public static BigInteger root(BigInteger A,
                              int n)

Integer n-th root. Uses BigDecimal and newton iteration. R is the n-th root of A.

Parameters:

A - big integer.

n - long.

Returns:

the n-th root of A.

sqrt

public static BigInteger sqrt(BigInteger A)

Integer square root. Uses BigDecimal and newton iteration. R is the square root of A.

Parameters:

A - big integer.

Returns:

the square root of A.

sqrtInt

public static BigInteger sqrtInt(BigInteger A)

Integer square root. Uses BigInteger only. R is the square root of A.

Parameters:

A - big integer.

Returns:

the square root of A.

sqrt

public static BigDecimal sqrt(BigDecimal A)

Square root. R is the square root of A.

Parameters:

A - big decimal.

Returns:

the square root of A.

root

public static BigDecimal root(BigDecimal A,
                              int n)

N-th root. R is the n-th root of A.

Parameters:

A - big decimal.

n - long.

Returns:

the n-th root of A.

sqrt

public static BigDecimalComplex sqrt(BigDecimalComplex a)

Complex decimal number square root.

Parameters:

a - big decimal complex.

Returns:

sqrt(a).

sqrt

public static BigRational sqrt(BigRational A)

Square root. R is the square root approximation of A. Convert to BigDecimal and compute square root.

Parameters:

A - big rational.

Returns:

the square root approximation of A.

sqrt

public static BigComplex sqrt(BigComplex A)

Square root. R is the square root approximation of A. Convert to BigDecimalComplex and compute square root.

Parameters:

A - big complex rational.

Returns:

the square root approximation of A.