# Radix Rational

    require 'radix'

## Initialization

Radix::Rational's initializer takes a numerator and a denominator,
either of which can be an Integer, Float, String or Array along witha
an integer base.

Give a integer value, it will automatically be converted to the base
specified.

    check do |num, dem, base, eqf|
      r = Radix::Rational.new(num, dem, base)
      r.assert == eqf
    end

    ok  1, 2,  2,  0.5
    ok  1, 1,  2,  1.0

    ok  8, 1, 10,  8.0
    ok  8, 5, 10,  1.6
    ok  8, 8, 10,  1.0

    ok 10, 1, 10, 10.0
    ok 10, 2, 10,  5.0
    ok 10, 5, 10,  2.0

    ok  8, 1, 16,  8.0
    ok 16, 1, 16, 16.0

## Reduction

    check do |a, x|
      r = a.reduce
      r.assert == x
    end

    ok [10,5].br(10),  [2,1].br(10)
    ok [30,3].br(10), [10,1].br(10)

## Operations

### Addition

    check do |a, b, x|
      r = a + b
      r.assert == x
    end

    ok [8,5].br(10), [1,2].br(10), [21,10].br(10)

    ok [8,5].br(10), 1, [13,5].br(10)

    ok [8,5].br(10), 0.5, [21,10].br(10)

### Subtraction

    check do |a, b, x|
      r = a - b
      r.assert == x
    end

    ok [8,5].br(10), [1,2].br(10), [11,10].br(10)

### Multiplication

    check do |a, b, x|
      r = a * b
      r.assert == x
    end

    ok [8,5].br(10), [1,2].br(10), [8,10].br(10)

### Division

    check do |a, b, x|
      r = a / b
      r.assert == x
    end

    ok [8,5].br(10), [1,2].br(10), [16,5].br(10)