FoscNonreducedFraction

Returns a FoscNonreducedFraction.

Description

Non-reduced fractions

Attributes Summary

Instance Methods: Special Methods

Instance Methods

Usage

1. Example

   FoscNonreducedFraction(3).cs;

   FoscNonreducedFraction(3, 1)

   FoscNonreducedFraction(3.14159).cs;

   FoscNonreducedFraction(355, 113)

   FoscNonreducedFraction(#[3,2]).cs;

   FoscNonreducedFraction(3, 2)

   FoscNonreducedFraction(6, 2).cs;

   FoscNonreducedFraction(6, 2)

   FoscNonreducedFraction().cs;

   FoscNonreducedFraction(0, 1)

Instance Methods: Special Methods

+

1. Example

   a = FoscNonreducedFraction(3, 2) + FoscNonreducedFraction(1, 2);
   a.pair;

   [ 4, 2 ]

   a = FoscNonreducedFraction(3, 2) + 0.5;
   a.pair;

   [ 4, 2 ]

   a = 1.5 + FoscNonreducedFraction(1, 2);
   a.pair;

   [ 4, 2 ]

-

1. Example

   a = FoscNonreducedFraction(3, 2) - FoscNonreducedFraction(1, 2);
   a.pair;

   [ 2, 2 ]

   a = FoscNonreducedFraction(3, 2) - 0.5;
   a.pair;

   [ 2, 2 ]

   a = 1.5 - FoscNonreducedFraction(1, 2);
   a.pair;

   [ 2, 2 ]

*

1. Example

   a = FoscNonreducedFraction(3, 2) * FoscNonreducedFraction(1, 2);
   a.pair;

   [ 3, 4 ]

   a = FoscNonreducedFraction(3, 2) * 0.5;
   a.pair;

   [ 3, 4 ]

   a = 1.5 * FoscNonreducedFraction(1, 2);
   a.pair;

   [ 3, 4 ]

/

1. Example

   a = FoscNonreducedFraction(3, 2) / FoscNonreducedFraction(1, 2);
   a.pair;`

   [ 6, 2 ]

   a = FoscNonreducedFraction(3, 2) / 0.5;
   a.pair;

   [ 6, 2 ]

   a = 1.5 / FoscNonreducedFraction(1, 2);
   a.pair;

   [ 6, 2 ]

div

1. Example

   a = FoscNonreducedFraction(3, 2).div(FoscNonreducedFraction(1, 2));
   a.pair;

   [ 3, 1 ]

   a = FoscNonreducedFraction(3, 2).div(0.5);
   a.pair;

   [ 3, 1 ]

   a = 1.5.div(FoscNonreducedFraction(1, 2));
   a.pair;

   [ 3, 1 ]

mod

1. Example

   a = FoscNonreducedFraction(3, 2) % FoscNonreducedFraction(1, 2);
   a.pair;

   [ 0, 1 ]

   a = FoscNonreducedFraction(3, 2) % 0.5;
   a.pair;

   [ 0, 1 ]

   a = 1.5 % FoscNonreducedFraction(1, 2);
   a.pair;

   [ 0, 1 ]

pow

1. Example

   a = FoscNonreducedFraction(3, 2) ** FoscNonreducedFraction(2, 1);
   a.pair;

   [ 9, 4 ]

   a = FoscNonreducedFraction(3, 2) ** 2;
   a.pair;

   [ 9, 4 ]

   a = 1.5 ** FoscNonreducedFraction(2, 1);
   a.pair;

   [ 9, 4 ]

abs

1. Example

   a = FoscNonreducedFraction(-6, 4).abs;
   a.pair;

   [ 6, 4 ]

neg

1. Example

   a = FoscNonreducedFraction(6, 4).neg;
   a.pair;

   [ -6, 4 ]

reciprocal

1. Example

   a = FoscNonreducedFraction(6, 4).reciprocal;
   a.pair;

   [ 4, 6 ]

asFloat

1. Example

   FoscNonreducedFraction(3, 2).asFloat;

   1.5

==

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a == a;     // true

   true

   a == b;     // true

   false

   a == c;     // false

   false

   c == d;     // true

   true

   d == c;     // true

   true

!=

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a != a;     // false

   false

   a != b;     // false

   true

   a != c;     // true

   true

   c != d;     // false

   false

   d != c;     // false

   false

<

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a < a;     // false

   false

   a < b;     // false

   false

   a < c;     // true

   true

   c < d;     // false

   false

   d < c;     // false

   false

>

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a > a;     // false

   false

   a > b;     // false

   false

   a > c;     // true

   false

   c > b;     // true

   true

   b > c;     // false

   false

<=

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a <= a;     // true

   true

   a <= b;     // true

   true

   a <= c;     // true

   true

   c <= d;     // true

   true

   d <= c;     // true

   true

>=

1. Example

   a = FoscNonreducedFraction(3, 2);
   b = FoscNonreducedFraction(6, 4);
   c = FoscNonreducedFraction(2, 1);
   d = 2;
   
   a >= a;     // true

   true

   a >= b;     // true

   true

   a >= c;     // false

   false

   c >= d;     // true

   true

   d >= c;     // true

   true

Instance Methods

reduce