abstract struct Number

Overview

The top-level number type.

Included Modules

Direct Known Subclasses

Defined in:

number.cr
big/big_float.cr
yaml/to_yaml.cr
complex.cr

Class Method Summary

Instance Method Summary

Macro Summary

Instance methods inherited from module Comparable({"T", T})

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

Instance methods inherited from module Comparable({"T", T})

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

Instance methods inherited from struct Value

==(other) ==, dup dup

Instance methods inherited from class Object

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

Class methods inherited from class Object

==(other : Class) ==, ===(other) ===, cast(other) : self cast, clone clone, dup dup, from_json(string_or_io) : self
from_json(string_or_io, root : String) : self
from_json
, from_yaml(string : String) : self from_yaml, hash hash, inspect(io) inspect, name : String name, nilable? nilable?, to_s(io) to_s, |(other : U.class) forall U |

Class Method Detail

def self.zero : self #

[View source]

Instance Method Detail

def *(other : Complex) #

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def *(other : BigFloat) #

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def + #

Returns self.


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def +(other : BigFloat) #

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def +(other : Complex) #

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def -(other : Complex) #

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def -(other : BigFloat) #

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def /(other : Complex) #

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def <=>(other : BigFloat) #

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def <=>(other) #

Implements the comparison operator.

See Object#<=>


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def ==(other : Complex) #

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def abs #

Returns the absolute value of this number.

123.abs  # => 123
-123.abs # => 123

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def abs2 #

Returns the square of self (self * self).

4.abs2   # => 16
1.5.abs2 # => 2.25

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def cis #

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def clamp(range : Range) #

Clamps a value within range.

5.clamp(10..100)   # => 10
50.clamp(10..100)  # => 50
500.clamp(10..100) # => 100

[View source]
def clamp(min, max) #

Clamps a value between min and max.

5.clamp(10, 100)   # => 10
50.clamp(10, 100)  # => 50
500.clamp(10, 100) # => 100

[View source]
def divmod(number) #

Returns a Tuple of two elements containing the quotient and modulus obtained by dividing self by number.

11.divmod(3)  # => {3, 2}
11.divmod(-3) # => {-3, 2}

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def i #

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def round(digits, base = 10) #

Rounds this number to a given precision in decimal digits.

-1763.116.round(2) # => -1763.12

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def sign #

Returns the sign of this number as an Int32.

  • -1 if this number is negative
  • 0 if this number is zero
  • 1 if this number is positive
123.sign # => 1
0.sign   # => 0
-42.sign # => -1

[View source]
def significant(digits, base = 10) #

Keeps digits significants digits of this number in the given base.

1234.567.significant(1) # => 1000
1234.567.significant(2) # => 1200
1234.567.significant(3) # => 1230
1234.567.significant(4) # => 1235
1234.567.significant(5) # => 1234.6
1234.567.significant(6) # => 1234.57
1234.567.significant(7) # => 1234.567
1234.567.significant(8) # => 1234.567

15.159.significant(1, base = 2) # => 16

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def step(limit = nil, by = 1) #

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def step(limit = nil, by = 1, &block) #

Invokes the given block with the sequence of numbers starting at self, incremented by by on each call, and with an optional limit.

3.step(by: 2, limit: 10) do |n|
  puts n
end

Output:

3
5
7
9

[View source]
def to_big_f #

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def to_c #

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def to_yaml(emitter : YAML::Emitter) #

[View source]

Macro Detail

macro [](*nums) #

Creates an Array of self with the given values, which will be casted to this type with the new method (defined in each Number type).

floats = Float64[1, 2, 3, 4]
floats.class # => Array(Float64)

ints = Int64[1, 2, 3]
ints.class # => Array(Int64)

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macro slice(*nums) #

Creates a Slice of self with the given values, which will be casted to this type with the new method (defined in each Number type).

The slice is allocated on the heap.

floats = Float64.slice(1, 2, 3, 4)
floats.class # => Slice(Float64)

ints = Int64.slice(1, 2, 3)
ints.class # => Slice(Int64)

[View source]
macro static_array(*nums) #

Creates a StaticArray of self with the given values, which will be casted to this type with the new method (defined in each Number type).

floats = Float64.static_array(1, 2, 3, 4)
floats.class # => StaticArray(Float64, 4)

ints = Int64.static_array(1, 2, 3)
ints.class # => StaticArray(Int64, 3)

[View source]