Class BigFraction

java.lang.Object
BigFraction
All Implemented Interfaces:
java.lang.Comparable<BigFraction>
public class BigFraction
extends java.lang.Object
implements java.lang.Comparable<BigFraction>
This is a class for the performance of extended-precision rational arithmetic. The objecs we create are immutable.

  • Field Summary

    Fields 
    Modifier and Type Field Description
    static BigFraction HALF
    This is the BigFraction 1/2.
    static BigFraction ONE
    This is the BigFraction 1/1.
    static BigFraction ZERO
    This is the BigFraction 0/1.

  • Constructor Summary

    Constructors 
    Constructor Description
    BigFraction​(java.lang.String num, java.lang.String denom)
    This constructor creates the BigFraction num/denom.
    BigFraction​(java.math.BigInteger num, java.math.BigInteger denom)
    This constructor creates the BigFraction num/denom.

  • Method Summary

    Modifier and Type Method Description
    BigFraction abs()
    This computes the absolute value of a BigFraction as a BigFraction.
    BigFraction add​(BigFraction that)
    This computes this + that.
    java.math.BigInteger bigIntegerValue()
    This computes the integer part of this BigFraction, truncating toward zero.
    int compareTo​(BigFraction that)
    This method retursn a negative integer if this < that, a positive integer if this > that, and zero if this equals that.
    BigFraction divide​(BigFraction that)
    This computes this / that.
    double doubleValue()  
    boolean equals​(java.lang.Object o)
    This tests fractions for numerical equality.
    static BigFraction harmonic​(int n)  
    static void main​(java.lang.String[] args)  
    BigFraction max​(BigFraction that)  
    BigFraction min​(BigFraction that)  
    BigFraction multiply​(BigFraction that)
    This computes this * that.
    BigFraction negate()
    This returns a new BigFraction represeting -this.
    BigFraction pow​(int n)
    This computes thisn.
    BigFraction subtract​(BigFraction that)
    This computes this - that.
    java.lang.String toString()
    This makes a string representation of the form num/denom.
    static BigFraction valueOf​(long num, long denom)
    This static factory method creates a BigFraction from two longs.

    Methods inherited from class java.lang.Object

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

  • Field Details

  • Constructor Details

    • BigFraction

      public BigFraction​(java.math.BigInteger num, java.math.BigInteger denom)
      This constructor creates the BigFraction num/denom.
      Parameters:
      num - the numerator of this BigFraction
      denom - the denominator of this BigFraction
      Throws:
      java.lang.IllegalArgumentException - if a zero is passed in as a denominator

    • BigFraction

      public BigFraction​(java.lang.String num, java.lang.String denom)
      This constructor creates the BigFraction num/denom. The fraction will be represented in its fully reduced form with any negative in the numerator.
      Parameters:
      num - a numerical String representing the numerator of this BigFraction
      denom - a numerical String representing the denominator of this BigFraction

  • Method Details

    • valueOf

      public static BigFraction valueOf​(long num, long denom)
      This static factory method creates a BigFraction from two longs.
      Parameters:
      num - the numerator of this BigFraction
      denom - the denominator of this BigFraction
      Returns:
      a new BigFraction representing num/denom.

    • toString

      public java.lang.String toString()
      This makes a string representation of the form num/denom.
      Overrides:
      toString in class java.lang.Object
      Returns:
      a string of the form num/denom.

    • equals

      public boolean equals​(java.lang.Object o)
      This tests fractions for numerical equality.
      Overrides:
      equals in class java.lang.Object
      Parameters:
      o - the object we are checking for equality with this BigFraction
      Returns:
      true if o is a BigFraction and if it is numerically equal to this BigFraction.

    • add

      public BigFraction add​(BigFraction that)
      This computes this + that.
      Parameters:
      that - is a BigFraction we are adding to this BigFraction
      Returns:
      this + that

    • subtract

      public BigFraction subtract​(BigFraction that)
      This computes this - that.
      Parameters:
      that - is a BigFraction we are adding to this BigFraction
      Returns:
      this - that

    • multiply

      public BigFraction multiply​(BigFraction that)
      This computes this * that.
      Parameters:
      that - is a BigFraction we are adding to this BigFraction
      Returns:
      this * that

    • divide

      public BigFraction divide​(BigFraction that)
      This computes this / that.
      Parameters:
      that - is a BigFraction we are adding to this BigFraction
      Returns:
      this / that

    • pow

      public BigFraction pow​(int n)
      This computes thisn.
      Parameters:
      n - the power we are raising this BigInteger to.
      Returns:
      thisn

    • bigIntegerValue

      public java.math.BigInteger bigIntegerValue()
      This computes the integer part of this BigFraction, truncating toward zero.
      Returns:
      a BigInteger representing the integer part of this BigFraction.

    • negate

      public BigFraction negate()
      This returns a new BigFraction represeting -this.
      Returns:
      -this

    • abs

      public BigFraction abs()
      This computes the absolute value of a BigFraction as a BigFraction.
      Returns:
      |this|

    • compareTo

      public int compareTo​(BigFraction that)
      This method retursn a negative integer if this < that, a positive integer if this > that, and zero if this equals that.
      Specified by:
      compareTo in interface java.lang.Comparable<BigFraction>
      Parameters:
      that - the BigFraction we are comparing this BigFraction to
      Returns:
      a negative integer if this < that, a positive integer if this > that and zero if this equals that.

    • max

      public BigFraction max​(BigFraction that)

    • min

      public BigFraction min​(BigFraction that)

    • harmonic

      public static BigFraction harmonic​(int n)

    • doubleValue

      public double doubleValue()

    • main

      public static void main​(java.lang.String[] args)