gnu.math
Class RatNum

java.lang.Object
  java.lang.Number
      gnu.math.Numeric
          gnu.math.Quantity
              gnu.math.Complex
                  gnu.math.RealNum
                      gnu.math.RatNum

All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable

Direct Known Subclasses:

IntFraction, IntNum

public abstract class RatNum
extends RealNum

The abstract class of rational numbers.

See Also:

Serialized Form

Field Summary

Fields inherited from class gnu.math.Numeric

CEILING, FLOOR, ROUND, TRUNCATE

Constructor Summary

RatNum()

Method Summary

static RatNum	add(RatNum x, RatNum y, int k)
static int	compare(RatNum x, RatNum y)
abstract IntNum	denominator()
static RatNum	divide(RatNum x, RatNum y)
boolean	equals(java.lang.Object obj)
static boolean	equals(RatNum x, RatNum y)
static RatNum	infinity(int sign) Return exact "rational" infinity.
boolean	isExact()
boolean	isZero()
static RatNum	make(IntNum num, IntNum den)
abstract IntNum	numerator()
Numeric	power(IntNum y) Return this raised to an integer power.
static RealNum	rationalize(RealNum x, RealNum y) Calcaulte the simplest rational between two reals.
static RatNum	times(RatNum x, RatNum y)
RatNum	toExact() Convert to an exact number.
IntNum	toExactInt(int rounding_mode) Converts to an exact integer, with specified rounding mode.
RealNum	toInt(int rounding_mode) Converts a real to an integer, according to a specified rounding mode.

Methods inherited from class gnu.math.RealNum

abs, add, add, asBigDecimal, compareTo, div, divide, exp, im, isNegative, log, max, min, mul, re, rneg, sign, sin, sqrt, times, toExactInt, toExactInt, toInt, toScaledInt, toScaledInt, toScaledInt, toStringDecimal, toStringScientific, toStringScientific, toStringScientific, toStringScientific

Methods inherited from class gnu.math.Complex

add, addReversed, angle, compare, compare, divide, divReversed, doubleImagValue, doubleRealValue, doubleValue, equals, imMinusOne, imOne, longValue, make, make, mulReversed, neg, neg, number, polar, polar, power, times, toString

Methods inherited from class gnu.math.Quantity

add, compare, compareReversed, dimensions, divide, imValue, make, make, make, reValue, times, unit

Methods inherited from class gnu.math.Numeric

add, div_inv, floatValue, geq, grt, intValue, mul_ident, sub, toString

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

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

Constructor Detail

RatNum

public RatNum()

Method Detail

numerator

public abstract IntNum numerator()

denominator

public abstract IntNum denominator()

make

public static RatNum make(IntNum num,
                          IntNum den)

isExact

public boolean isExact()

Overrides:

isExact in class Complex

isZero

public boolean isZero()

Overrides:

isZero in class RealNum

infinity

public static RatNum infinity(int sign)

Return exact "rational" infinity.

Parameters:

sign - either 1 or -1 for positive or negative infinity

compare

public static int compare(RatNum x,
                          RatNum y)

equals

public static boolean equals(RatNum x,
                             RatNum y)

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class Complex

add

public static RatNum add(RatNum x,
                         RatNum y,
                         int k)

times

public static RatNum times(RatNum x,
                           RatNum y)

divide

public static RatNum divide(RatNum x,
                            RatNum y)

power

public Numeric power(IntNum y)

Description copied from class: Numeric

Return this raised to an integer power. Implemented by repeated squaring and multiplication. If y < 0, returns div_inv of the result.

Overrides:

power in class Numeric

toExact

public final RatNum toExact()

Description copied from class: RealNum

Convert to an exact number. Implements the Scheme inexact->exact (for real numbers).

Overrides:

toExact in class RealNum

toInt

public RealNum toInt(int rounding_mode)

Description copied from class: RealNum

Converts a real to an integer, according to a specified rounding mode. Note an inexact argument gives an inexact result, following Scheme. See also toExactInt.

Overrides:

toInt in class RealNum

toExactInt

public IntNum toExactInt(int rounding_mode)

Description copied from class: RealNum

Converts to an exact integer, with specified rounding mode.

Overrides:

toExactInt in class RealNum

rationalize

public static RealNum rationalize(RealNum x,
                                  RealNum y)

Calcaulte the simplest rational between two reals.