FoscFraction

Returns a FoscFraction.

Description

Fractions

Attributes Summary

Instance Methods: Special Methods

Instance Methods

Usage

1. Example

   FoscFraction(3).cs;

   FoscFraction(3, 1)

   FoscFraction(3.14159).cs;

   FoscFraction(355, 113)

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

   FoscFraction(3, 2)

   FoscFraction(6,2).cs;

   FoscFraction(3, 1)

   FoscNonreducedFraction(6,2).cs;

   FoscNonreducedFraction(6, 2)

   FoscFraction().cs;

   FoscFraction(0, 1)

Instance Methods: Special Methods

+

1. Example

   a = FoscFraction(3,2) + FoscFraction(1,2);
   a.str;

   2/1

2. Example

   a = FoscFraction(3,2) + 0.5;
   a.str;

   2/1

3. Example

   a = 1.5 + FoscFraction(1,2);
   a.str;

   2/1

-

1. Example

   a = FoscFraction(3,2) - FoscFraction(1,2);
   a.str;

   1/1

2. Example

   a = FoscFraction(3,2) - 0.5;
   a.str;

   1/1

3. Example

   a = 1.5 - FoscFraction(1,2);
   a.str;

   1/1

*

1. Example

   a = FoscFraction(3,2) * FoscFraction(1,2);
   a.str;

   3/4

2. Example

   a = FoscFraction(3,2) * 0.5;
   a.str;

   3/4

3. Example

   a = 0.5 * FoscFraction(3,2);
   a.str;

   3/4

/

1. Example

   a = FoscFraction(3,2) / FoscFraction(1,2);
   a.str;

   3/1

2. Example

   a = FoscFraction(3,2) / 0.5;
   a.str;

   3/1

3. Example

   a = 1.5 / FoscFraction(1,2);
   a.str;

   3/1

==

1. Example

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

   true

   a == b;     // true

   true

   a == c;     // false

   false

   c == d;     // true

   true

   d == c;     // true

   true

===

1. Example

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

   true

   a === b;     // true  !!!TODO: override for FoscNonreducedFraction

   true

   a === c;     // false

   false

   c === d;     // true

   true

   d === c;     // true

   false

!=

1. Example

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

   true

   a >= b;     // true

   true

   a >= c;     // false

   false

   c >= d;     // true

   true

   d >= c;     // true

   true

abs

1. Example

   a = FoscFraction(-3,2).abs;
   a.str;

   3/2

asCompileString

1. Example

   a = FoscFraction(1,4);
   a.cs;

   FoscFraction(1, 4)

asFloat

1. Example

   a = FoscFraction(3,2);
   a.asFloat;

   1.5

asInteger

1. Example

   a = FoscFraction(5,2);
   a.asInteger;

   2

copy

deepCopy

div

1. Example

   a = FoscFraction(3,2).div(FoscFraction(1,2));
   a.str;

   3/1

   a = FoscFraction(3,2).div(0.5);
   a.str;

   3/1

   a = 1.5.div(FoscFraction(1,2));
   a.str;

   3/1

hash

1. Example

   a = FoscFraction([1,4]);
   b = FoscFraction([1,4]);
   a.hash;

   -929596897

   a.hash == b.hash;

   true

mod

1. Example

   a = FoscFraction(3,2) % FoscFraction(1,2);
   a.str;

   0/1

   a = FoscFraction(3,2) % 0.5;
   a.str;

   0/1

   a = 1.5 % FoscFraction(1,2);
   a.str;

   0/1

neg

1. Example

   a = FoscFraction(3,2).neg;
   a.str;

   -3/2

pow

1. Example

   a = FoscFraction(3,2) ** FoscFraction(2,1);
   a.str;

   9/4

   a = FoscFraction(3,2) ** 2;
   a.str;

   9/4

   a = 1.5 ** FoscFraction(2,1);
   a.str;

   9/4

reciprocal

1. Example

   a = FoscFraction(3,2);
   a.reciprocal.str;

   2/3

sign

1. Example

   a = FoscFraction(3,4);
   a.sign;

   1

   a = FoscFraction(-3,4);
   a.sign;

   -1

storeArgs

str

1. Example

   a = FoscFraction(3,2);
   a.str;

   3/2

Instance Methods

withDenominator

1. Example

   a = FoscNonreducedFraction(3,2);
   a = a.withDenominator(4);
   a.pair;

   [ 6, 4 ]