# abstract struct Float

- Float
- Number
- Value
- Object

##
Overview

Float is the base type of all floating point numbers.

There are two floating point types, `Float32` and `Float64`, which correspond to the binary32 and binary64 types defined by IEEE.

A floating point literal is an optional `+` or `#-` sign, followed by a sequence of numbers or underscores, followed by a dot, followed by numbers or underscores, followed by an optional exponent suffix, followed by an optional type suffix. If no suffix is present, the literal's type is `Float64`.

    1.0     # Float64
    1.0_f32 # Float32
    1_f32   # Float32

    1e10   # Float64
    1.5e10 # Float64
    1.5e-7 # Float64

    +1.3 # Float64
    -0.5 # Float64

The underscore `_` before the suffix is optional.

Underscores can be used to make some numbers more readable:

    1_000_000.111_111 # better than 1000000.111111

See `Float` literals in the language reference.

##
Included Modules

- Comparable(BigDecimal)
- Comparable(BigRational)
- Comparable(BigInt)

##
Direct Known Subclasses

- BigFloat
- Float32
- Float64

##
Defined in:

big/big_decimal.cr
big/big_float.cr
big/big_int.cr
big/big_rational.cr
big/number.cr
float.cr
float/fast_float.cr
json/to_json.cr
time/span.cr
yaml/to_yaml.cr

##
Constructors

- .from_io(io : IO, format : IO::ByteFormat) : self

  Reads a float from the given io in the given format.

##
Instance Method Summary

- #%(other)
- #-

  Negates this value's sign.

- #//(other)

  Divides `self` by other using floored division.

- #<=>(other : BigInt)
- #<=>(other : BigFloat)
- #<=>(other : BigRational)
- #<=>(other : BigDecimal)

  The comparison operator.

- #days : Time::Span

  Returns a `Time::Span` of `self` days.

- #fdiv(other : BigInt | BigFloat | BigDecimal | BigRational) : self
- #finite? : Bool

  Returns whether this value is finite, i.e.

- #hours : Time::Span

  Returns a `Time::Span` of `self` hours.

- #infinite? : Int32 | Nil

  Checks whether this value is infinite.

- #microseconds : Time::Span

  Returns a `Time::Span` of `self` microseconds.

- #milliseconds : Time::Span

  Returns a `Time::Span` of `self` milliseconds.

- #minutes : Time::Span

  Returns a `Time::Span` of `self` minutes.

- #modulo(other)
- #nan? : Bool

  Returns whether this value is a not-a-number.

- #nanoseconds : Time::Span

  Returns a `Time::Span` of `self` nanoseconds.

- #remainder(other)
- #seconds : Time::Span

  Returns a `Time::Span` of `self` seconds.

- #to_big_d : BigDecimal

  Converts `self` to `BigDecimal`.

- #to_big_i : BigInt

  Returns a `BigInt` representing this float (rounded using `floor`).

- #to_big_r : BigRational

  Returns a `BigRational` representing this float.

- #to_io(io : IO, format : IO::ByteFormat) : Nil

  Writes this float to the given io in the given format.

- #to_json(json : JSON::Builder) : Nil
- #to_json_object_key : String
- #to_yaml(yaml : YAML::Nodes::Builder) : Nil
- #weeks : Time::Span

  Returns a `Time::Span` of `self` weeks.

### Instance methods inherited from module `Comparable(BigDecimal)`

<(other : T) : Bool <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) : Bool >, >=(other : T) >=, clamp(min, max)
clamp(range : Range) clamp

### Instance methods inherited from module `Comparable(BigRational)`

<(other : T) : Bool <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) : Bool >, >=(other : T) >=, clamp(min, max)
clamp(range : Range) clamp

### Instance methods inherited from module `Comparable(BigInt)`

<(other : T) : Bool <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) : Bool >, >=(other : T) >=, clamp(min, max)
clamp(range : Range) clamp

### Instance methods inherited from struct `Number`

*(other : BigFloat) : BigFloat
*(other : Complex) : Complex *, +(other : BigFloat)
+(other : Complex) : Complex
+ +, -(other : BigFloat)
-(other : Complex) : Complex -, /(other : BigFloat) : BigFloat
/(other : Complex) : Complex /, //(other) //, <=>(other) : Int32 | Nil <=>, ==(other : Complex) ==, abs : self abs, abs2 abs2, cis : Complex cis, divmod(number) divmod, format(io : IO, separator = '.', delimiter = ',', decimal_places : Int | Nil = nil, *, group : Int = 3, only_significant : Bool = false) : Nil
format(separator = '.', delimiter = ',', decimal_places : Int | Nil = nil, *, group : Int = 3, only_significant : Bool = false) : String format, hash(hasher) hash, humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, prefixes : Indexable = SI_PREFIXES) : Nil
humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, prefixes : Proc) : Nil
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, prefixes = SI_PREFIXES) : String
humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, &prefixes : Int32, Float64 -> Tuple(Int32, _) | Tuple(Int32, _, Bool)) : Nil
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, &) : String
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, unit_separator = nil, prefixes : Proc) : String humanize, i : Complex i, integer? : Bool integer?, negative? : Bool negative?, positive? : Bool positive?, round(mode : RoundingMode = :ties_even) : self
round(digits : Number, base = 10, *, mode : RoundingMode = :ties_even) round, sign : Int32 sign, significant(digits, base = 10) significant, step(*, to limit = nil, exclusive : Bool = false, &) : Nil
step(*, to limit = nil, exclusive : Bool = false) step, to_big_f : BigFloat to_big_f, to_c : Complex to_c, to_yaml(yaml : YAML::Nodes::Builder) : Nil to_yaml, zero? : Bool zero?

### Constructor methods inherited from struct `Number`

additive_identity : self additive_identity, multiplicative_identity : self multiplicative_identity, zero : self zero

### Class methods inherited from struct `Number`

si_prefix(magnitude : Int, prefixes = SI_PREFIXES) : Char | Nil si_prefix

### Macros inherited from struct `Number`

[](*nums) [], slice(*nums, read_only = false) slice, static_array(*nums) static_array

### Instance methods inherited from module `Comparable(BigFloat)`

<(other : T) : Bool <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) : Bool >, >=(other : T) >=, clamp(min, max)
clamp(range : Range) clamp

### Instance methods inherited from module `Steppable`

step(*, to limit = nil, by step, exclusive : Bool = false, &) : Nil
step(*, to limit = nil, by step, exclusive : Bool = false) step

### Instance methods inherited from module `Comparable(Number)`

<(other : T) : Bool <, <=(other : T) <=, <=>(other : T) <=>, ==(other : T) ==, >(other : T) : Bool >, >=(other : T) >=, clamp(min, max)
clamp(range : Range) clamp

### Instance methods inherited from struct `Value`

==(other : JSON::Any)
==(other : YAML::Any)
==(other) ==, dup dup

### Instance methods inherited from class `Object`

! : Bool !, !=(other) !=, !~(other) !~, ==(other) ==, ===(other : JSON::Any)
===(other : YAML::Any)
===(other) ===, =~(other) =~, as(type : Class) as, as?(type : Class) as?, class class, dup dup, hash(hasher)
hash hash, in?(collection : Object) : Bool
in?(*values : Object) : Bool in?, inspect(io : IO) : Nil
inspect : String inspect, is_a?(type : Class) : Bool is_a?, itself itself, nil? : Bool nil?, not_nil!(message)
not_nil! not_nil!, pretty_inspect(width = 79, newline = "\n", indent = 0) : String pretty_inspect, pretty_print(pp : PrettyPrint) : Nil pretty_print, responds_to?(name : Symbol) : Bool responds_to?, tap(&) tap, to_json(io : IO) : Nil
to_json : String to_json, to_pretty_json(indent : String = " ") : String
to_pretty_json(io : IO, indent : String = " ") : Nil to_pretty_json, to_s(io : IO) : Nil
to_s : String to_s, to_yaml(io : IO) : Nil
to_yaml : String to_yaml, try(&) try, unsafe_as(type : T.class) forall T unsafe_as

### Class methods inherited from class `Object`

from_json(string_or_io, root : String)
from_json(string_or_io) from_json, from_yaml(string_or_io : String | IO) from_yaml

### Macros inherited from class `Object`

class_getter(*names, &block) class_getter, class_getter!(*names) class_getter!, class_getter?(*names, &block) class_getter?, class_property(*names, &block) class_property, class_property!(*names) class_property!, class_property?(*names, &block) class_property?, class_setter(*names) class_setter, def_clone def_clone, def_equals(*fields) def_equals, def_equals_and_hash(*fields) def_equals_and_hash, def_hash(*fields) def_hash, delegate(*methods, to object) delegate, forward_missing_to(delegate) forward_missing_to, getter(*names, &block) getter, getter!(*names) getter!, getter?(*names, &block) getter?, property(*names, &block) property, property!(*names) property!, property?(*names, &block) property?, setter(*names) setter

##
Constructor Detail

def self.from_io(io : IO, format : IO::ByteFormat) : self #

Reads a float from the given io in the given format. See also: `IO#read_bytes`.

##
Instance Method Detail

def %(other) #
def - #

Negates this value's sign.

def //(other) #
Description copied from struct Number

Divides `self` by other using floored division.

The result will be of the same type as `self`.

def <=>(other : BigInt) #
def <=>(other : BigFloat) #
def <=>(other : BigRational) #
def <=>(other : BigDecimal) #
Description copied from module Comparable(BigDecimal)

The comparison operator. Returns `0` if the two objects are equal, a negative number if this object is considered less than other, a positive number if this object is considered greater than other, or `nil` if the two objects are not comparable.

Subclasses define this method to provide class-specific ordering.

The comparison operator is usually used to sort values:

    # Sort in a descending way:
    [3, 1, 2].sort { |x, y| y <=> x } # => [3, 2, 1]

    # Sort in an ascending way:
    [3, 1, 2].sort { |x, y| x <=> y } # => [1, 2, 3]

def days : Time::Span #

Returns a `Time::Span` of `self` days.

def fdiv(other : BigInt | BigFloat | BigDecimal | BigRational) : self #
def finite? : Bool #

Returns whether this value is finite, i.e. it is neither infinite nor a not-a-number.

def hours : Time::Span #

Returns a `Time::Span` of `self` hours.

def infinite? : Int32 | Nil #

Checks whether this value is infinite. Returns `1` if this value is positive infinity, `-1` if this value is negative infinity, or `nil` otherwise.

def microseconds : Time::Span #

Returns a `Time::Span` of `self` microseconds.

def milliseconds : Time::Span #

Returns a `Time::Span` of `self` milliseconds.

def minutes : Time::Span #

Returns a `Time::Span` of `self` minutes.

def modulo(other) #
def nan? : Bool #

Returns whether this value is a not-a-number.

This includes both quiet and signalling NaNs from IEEE 754.

def nanoseconds : Time::Span #

Returns a `Time::Span` of `self` nanoseconds.

def remainder(other) #
def seconds : Time::Span #

Returns a `Time::Span` of `self` seconds.

def to_big_d : BigDecimal #

Converts `self` to `BigDecimal`.

NOTE Floats are fundamentally less precise than BigDecimals, which makes conversion to them risky.

    require "big"
    1212341515125412412412421.0.to_big_d

def to_big_i : BigInt #

Returns a `BigInt` representing this float (rounded using `floor`).

    require "big"

    1212341515125412412412421.0.to_big_i

def to_big_r : BigRational #

Returns a `BigRational` representing this float.

    require "big"

    123.0.to_big_r

def to_io(io : IO, format : IO::ByteFormat) : Nil #

Writes this float to the given io in the given format. See also: `IO#write_bytes`.

def to_json(json : JSON::Builder) : Nil #
def to_json_object_key : String #
def to_yaml(yaml : YAML::Nodes::Builder) : Nil #
def weeks : Time::Span #

Returns a `Time::Span` of `self` weeks.