All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable

Direct Known Subclasses:

IntFraction, IntNum

public abstract class RatNum
extends RealNum 

See Also:

Serialized Form

• Field Summary

  Fields

  Modifier and Type	Field and Description
  static IntNum	ten_exp_9

  • Fields inherited from class gnu.math.Numeric

    CEILING, FLOOR, NONNEG_MOD, ROUND, TRUNCATE

• Constructor Summary

  Constructors

  Constructor and Description
  RatNum ()

• Method Summary

  All Methods

  Modifier and Type	Method and Description
  static RatNum	add (RatNum x, RatNum y, int k)
  static RatNum	asRatNumOrNull (java.lang.Object value)
  int	classifyFinite () Check if value is finite, infinite, or NaN.
  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)
  static RatNum	neg (RatNum x)
  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.
  RatNum	rneg ()
  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.
  static RatNum	valueOf (java.math.BigDecimal value)

  • Methods inherited from class gnu.math.RealNum

    abs, add, add, angle, asBigDecimal, asRealNumOrNull, compareTo, conjugate, cos, div, divide, exp, im, isNegative, isReal, log, max, min, mul, re, sign, sin, sqrt, tan, times, toExactInt, toExactInt, toInexact, toInt, toScaledInt, toScaledInt, toScaledInt, toStringDecimal, toStringScientific, toStringScientific, toStringScientific, toStringScientific, unitQuaternion, unitVector, vectorPart

  • Methods inherited from class gnu.math.Complex

    add, addReversed, colatitude, compare, compare, complexPart, divide, divReversed, equals, imMinusOne, imOne, jm, km, longitude, make, make, mulReversed, neg, neg, polar, polar, power, times, toString

  • Methods inherited from class gnu.math.Quaternion

    add, compare, divide, doubleImagValue, doubleJmagValue, doubleKmagValue, doubleRealValue, doubleValue, equals, jmMinusOne, jmOne, kmMinusOne, kmOne, longValue, make, make, neg, number, polar, polar, power, times

  • Methods inherited from class gnu.math.Quantity

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

  • Methods inherited from class gnu.math.Numeric

    add, asNumericOrNull, 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

• Field Detail

  • ten_exp_9

    public static final IntNum ten_exp_9

• Constructor Detail

  • RatNum

    public RatNum()

• Method Detail

  • numerator

    public abstract IntNum numerator()

  • denominator

    public abstract IntNum denominator()

  • classifyFinite

    public int classifyFinite()

    Description copied from class: Complex
    Check if value is finite, infinite, or NaN.

    Overrides:

    classifyFinite in class RealNum

    Returns:

    1 if finite; 0 if infinite; -1 if NaN.

  • make

    public static RatNum make(IntNum num,
     IntNum den)

  • valueOf

    public static RatNum valueOf(java.math.BigDecimal value)

  • asRatNumOrNull

    public static RatNum asRatNumOrNull(java.lang.Object value)

  • isExact

    public boolean isExact()

    Overrides:

    isExact in class Complex

  • isZero

    public boolean isZero()

    Overrides:

    isZero in class RealNum

  • rneg

    public final RatNum rneg()

    Overrides:

    rneg 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)

  • neg

    public static RatNum neg(RatNum x)

  • 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.