Class Fraction

java.lang.Object
   |
   +----Fraction

public class Fraction

extends Object

This is the class for fractions - i.e. ratios of integers. A fraction is reduced at all times.

Here is a sample program. It reads the first argument on the command line as a fraction, and the second as a natural number n. It then displays the decimal expansion of the fraction up through n digits after the decimal point.

Here is another sample program. It reads the first argument on the command line as a natural number n, sums n terms of the series 1 + 1/2 + ... + 1/n, and displays it as a fraction.

Eventually this file will contain tools for fractional arithmetic. At the moment it handles only input and output.

den

num

sign

Fraction(int[], int[])

Fraction(long, long)

Constructs n/d.

Fraction(MPInt, MPInt)

Constructs the fraction x/y.

Fraction(String)

The string must be (sign) integer or (sign) integer/non-zero integer.

toDecimalString(int)

The decimal expansion to N digits after the decimal point.

toString()

Just the form numerator/denominator.

 public int num[]

 public int den[]

 public int sign

 public Fraction(String s) throws NumberFormatException

The string must be (sign) integer or (sign) integer/non-zero integer.

 public Fraction(MPInt x,
                 MPInt y)

Constructs the fraction x/y.

 public Fraction(int x[],
                 int y[])

 public Fraction(long n,
                 long d)

Constructs n/d.

 public String toDecimalString(int n)

The decimal expansion to N digits after the decimal point. Not rounded. The integral part is easy. After that it repeatedly (1) subtracts off the integral part; (2) multiplies by 10 and writes the integral part.

 public String toString()

Just the form numerator/denominator.

Overrides:

toString in class Object