struct BigRational

Overview

Rational numbers are represented as the quotient of arbitrarily large numerators and denominators. Rationals are canonicalized such that the denominator and the numerator have no common factors, and that the denominator is positive. Zero has the unique representation 0/1.

r = BigRational.new(BigInt.new(7),BigInt.new(3))
r.to_s # => "7/3"
r = BigRational.new(3,-9)
r.to_s # => "-1/3"

It is implemented under the hood with GMP.

Included Modules

Defined in:

big/big_rational.cr

Class Method Summary

Instance Method Summary

Instance methods inherited from module Comparable(T)

<(other : T) <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) >, >=(other : T) >=

Instance methods inherited from module Comparable(T)

<(other : T) <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) >, >=(other : T) >=

Instance methods inherited from module Comparable(T)

<(other : T) <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) >, >=(other : T) >=

Instance methods inherited from struct Number

*(other : Complex)
*(other : BigFloat) *, +
+(other : BigFloat)
+(other : Complex) +, -(other : Complex)
-(other : BigFloat) -, /(other : Complex) /, <=>(other : BigFloat)
<=>(other) <=>, ==(other : Complex) ==, abs abs, abs2 abs2, cis cis, clamp(range : Range)
clamp(min, max) clamp, divmod(number) divmod, i i, round(digits, base = 10) round, sign sign, significant(digits, base = 10) significant, step(limit = nil, by = 1)
step(limit = nil, by = 1, &block) step, to_big_f to_big_f, to_c to_c, to_yaml(yaml : YAML::Generator) to_yaml

Class methods inherited from struct Number

zero : self zero

Instance methods inherited from module Comparable(T)

<(other : T) <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) >, >=(other : T) >=

Instance methods inherited from module Comparable(T)

<(other : T) <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) >, >=(other : T) >=

Instance methods inherited from struct Value

==(other) ==

Instance methods inherited from class Object

!=(other) !=, !~(other) !~, ==(other) ==, ===(other)
===(other : YAML::Any)
===(other : JSON::Any) ===, =~(other) =~, class class, clone clone, crystal_type_id crystal_type_id, dup dup, hash hash, inspect
inspect(io : IO) inspect, itself itself, not_nil! not_nil!, tap(&block) tap, to_json to_json, to_pretty_json(io : IO)
to_pretty_json to_pretty_json, to_s
to_s(io : IO) to_s, to_yaml(io : IO)
to_yaml to_yaml, try(&block) try

Class methods inherited from class Object

==(other : Class) ==, ===(other) ===, cast(other) : self cast, from_json(string_or_io) : self from_json, from_yaml(string : String) : self from_yaml, hash hash, inspect(io) inspect, name : String name, to_s(io) to_s, |(other : U.class) |

Class Method Detail

def self.new(numerator : Int, denominator : Int) #

Create a new BigRational.

If #denominator is 0, this will raise an exception.


[View source]
def self.new(num : Int) #

Creates a new BigRational with num as the numerator and 1 for denominator.


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Instance Method Detail

def *(other : Int) #

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def *(other : BigRational) #

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def +(other : Int) #

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def +(other : BigRational) #

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def -(other : BigRational) #

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def -(other : Int) #

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def - #

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def /(other : Int) #

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def /(other : BigRational) #

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def <<(other : Int) #

Multiplies the rational by (2**other)

BigRational.new(2,3) << 2 # => 8/3

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def <=>(other : Int) #

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def <=>(other : BigRational) #

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def <=>(other : Float) #

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def >>(other : Int) #

Divides the rational by (2**other)

BigRational.new(2,3) >> 2 # => 1/6

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def abs #

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def denominator #

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def hash #

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def inspect #

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def inspect(io) #

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def inv #

Returns a new BigRational as 1/r.

This will raise an exception if rational is 0.


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def numerator #

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def to_f #

Returns the Float64 representing this rational.


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def to_f32 #

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def to_f64 #

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def to_s(io : IO, base = 10) #

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def to_s(base = 10) #

Returns the string representing this rational.

Optionally takes a radix base (2 through 36).

r = BigRational.new(8243243,562828882)
r.to_s     # => "8243243/562828882"
r.to_s(16) # => "7dc82b/218c1652"
r.to_s(36) # => "4woiz/9b3djm"

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def to_unsafe #

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