edu.jas.arith
Class BigRational

java.lang.Object
  edu.jas.arith.BigRational

All Implemented Interfaces:

Coefficient, java.io.Serializable, java.lang.Comparable

public class BigRational
extends java.lang.Object
implements Coefficient, java.lang.Comparable, java.io.Serializable

BigRational class based on BigInteger implementing the Coefficient interface and with the familiar SAC method names.

See Also:

Serialized Form

Field Summary

static java.math.BigInteger	IONE
static java.math.BigInteger	IZERO
static BigRational	ONE
static BigRational	RNONE
static BigRational	RNZERO
static BigRational	ZERO

Constructor Summary

	BigRational()
	BigRational(java.math.BigInteger n)
protected	BigRational(java.math.BigInteger n, java.math.BigInteger d) Constructors for BigRational
	BigRational(long n)
	BigRational(long n, long d)
	BigRational(java.lang.String s)

Method Summary

Coefficient	abs() Rational number absolute value.
BigRational	add(BigRational S)
Coefficient	add(Coefficient S) Rational number sum.
int	compareTo(java.lang.Object b) Rational number comparison.
java.math.BigInteger	denominator()
BigRational	divide(BigRational S)
Coefficient	divide(Coefficient S) Rational number quotient.
boolean	equals(java.lang.Object b)
Coefficient	fromInteger(java.math.BigInteger a)
Coefficient	fromInteger(long a)
Coefficient	inverse() Rational number inverse.
boolean	isONE()
boolean	isZERO()
BigRational	multiply(BigRational S)
Coefficient	multiply(Coefficient S) Rational number product.
Coefficient	negate() Rational number negative.
java.math.BigInteger	numerator()
Coefficient	random(int n) Rational number, random.
static BigRational	RNABS(BigRational R)
static int	RNCOMP(BigRational R, BigRational S)
static java.math.BigInteger	RNDEN(BigRational R) Rational number denominator.
static BigRational	RNDIF(BigRational R, BigRational S)
static void	RNDWR(BigRational R, int NL) Rational number decimal write.
static BigRational	RNINT(java.math.BigInteger A) Rational number from integer.
static BigRational	RNINV(BigRational R)
static BigRational	RNNEG(BigRational R)
static java.math.BigInteger	RNNUM(BigRational R) Rational number numerator.
static BigRational	RNPROD(BigRational R, BigRational S)
static BigRational	RNQ(BigRational R, BigRational S)
static BigRational	RNRAND(int NL)
static BigRational	RNRED(java.math.BigInteger n, java.math.BigInteger d) Rational number reduction to lowest terms.
static int	RNSIGN(BigRational R)
static BigRational	RNSUM(BigRational R, BigRational S)
int	signum() Rational number sign.
BigRational	subtract(BigRational S)
Coefficient	subtract(Coefficient S) Rational number difference.
java.lang.String	toString()
static BigRational	valueOf(java.math.BigInteger a)
static BigRational	valueOf(long a)

Methods inherited from class java.lang.Object

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

Field Detail

IZERO

public static final java.math.BigInteger IZERO

IONE

public static final java.math.BigInteger IONE

RNZERO

public static final BigRational RNZERO

RNONE

public static final BigRational RNONE

ZERO

public static final BigRational ZERO

ONE

public static final BigRational ONE

Constructor Detail

BigRational

protected BigRational(java.math.BigInteger n,
                      java.math.BigInteger d)

Constructors for BigRational

BigRational

public BigRational(java.math.BigInteger n)

BigRational

public BigRational(long n,
                   long d)

BigRational

public BigRational(long n)

BigRational

public BigRational()

BigRational

public BigRational(java.lang.String s)
            throws java.lang.NumberFormatException

Throws:

java.lang.NumberFormatException

Method Detail

numerator

public java.math.BigInteger numerator()

denominator

public java.math.BigInteger denominator()

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

fromInteger

public Coefficient fromInteger(java.math.BigInteger a)

Specified by:

fromInteger in interface Coefficient

valueOf

public static BigRational valueOf(java.math.BigInteger a)

fromInteger

public Coefficient fromInteger(long a)

Specified by:

fromInteger in interface Coefficient

valueOf

public static BigRational valueOf(long a)

isZERO

public boolean isZERO()

Specified by:

isZERO in interface Coefficient

isONE

public boolean isONE()

Specified by:

isONE in interface Coefficient

equals

public boolean equals(java.lang.Object b)

Overrides:

equals in class java.lang.Object

RNRED

public static BigRational RNRED(java.math.BigInteger n,
                                java.math.BigInteger d)

Rational number reduction to lowest terms. A and B are integers, B non-zero. R is the rational number A/B in canonical form.

abs

public Coefficient abs()

Rational number absolute value. R is a rational number. S is the absolute value of R.

Specified by:

abs in interface Coefficient

RNABS

public static BigRational RNABS(BigRational R)

compareTo

public int compareTo(java.lang.Object b)

Rational number comparison. R and S are rational numbers. t=SIGN(R-S).

Specified by:

compareTo in interface Coefficient

Specified by:

compareTo in interface java.lang.Comparable

RNCOMP

public static int RNCOMP(BigRational R,
                         BigRational S)

RNDEN

public static java.math.BigInteger RNDEN(BigRational R)

Rational number denominator. R is a rational number. b is the denominator of R, a positive integer.

subtract

public Coefficient subtract(Coefficient S)

Rational number difference. R and S are rational numbers. T=R-S.

Specified by:

subtract in interface Coefficient

subtract

public BigRational subtract(BigRational S)

RNDIF

public static BigRational RNDIF(BigRational R,
                                BigRational S)

RNDWR

public static void RNDWR(BigRational R,
                         int NL)

Rational number decimal write. R is a rational number. n is a non-negative integer. R is approximated by a decimal fraction D with n decimal digits following the decimal point and D is written in the output stream. The inaccuracy of the approximation is at most (1/2)*10**-n. If ABS(D) is greater than ABS(R) then the last digit is followed by a minus sign, if ABS(D) is less than ABS(R) then by a plus sign.

RNINT

public static BigRational RNINT(java.math.BigInteger A)

Rational number from integer. A is an integer. R is the rational number A/1.

inverse

public Coefficient inverse()

Rational number inverse. R is a non-zero rational number. S=1/R.

Specified by:

inverse in interface Coefficient

RNINV

public static BigRational RNINV(BigRational R)

negate

public Coefficient negate()

Rational number negative. R is a rational number. S=-R.

Specified by:

negate in interface Coefficient

RNNEG

public static BigRational RNNEG(BigRational R)

RNNUM

public static java.math.BigInteger RNNUM(BigRational R)

Rational number numerator. R is a rational number. a is the numerator of R, an integer.

multiply

public Coefficient multiply(Coefficient S)

Rational number product. R and S are rational numbers. T=R*S.

Specified by:

multiply in interface Coefficient

multiply

public BigRational multiply(BigRational S)

RNPROD

public static BigRational RNPROD(BigRational R,
                                 BigRational S)

divide

public Coefficient divide(Coefficient S)

Rational number quotient. R and S are rational numbers, S non-zero. T=R/S.

Specified by:

divide in interface Coefficient

divide

public BigRational divide(BigRational S)

RNQ

public static BigRational RNQ(BigRational R,
                              BigRational S)

random

public Coefficient random(int n)

Rational number, random. n is a positive beta-integer. Random integers A and B are generated using IRAND(n). Then R=A/(ABS(B)+1), reduced to lowest terms.

Specified by:

random in interface Coefficient

RNRAND

public static BigRational RNRAND(int NL)

signum

public int signum()

Rational number sign. R is a rational number. s=SIGN(R).

Specified by:

signum in interface Coefficient

RNSIGN

public static int RNSIGN(BigRational R)

add

public Coefficient add(Coefficient S)

Rational number sum. R and S are rational numbers. T=R+S.

Specified by:

add in interface Coefficient

add

public BigRational add(BigRational S)

RNSUM

public static BigRational RNSUM(BigRational R,
                                BigRational S)