abstract struct Float

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

Included Modules

Direct Known Subclasses

Defined in:

Constructors

Instance Method Summary

Instance methods inherited from module Comparable(BigDecimal)

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

Instance methods inherited from module Comparable(BigRational)

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

Instance methods inherited from module Comparable(BigInt)

<(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 : BigFloat)
<=>(other)
<=>
, ==(other : Complex) ==, abs abs, abs2 abs2, cis cis, clamp(min, max)
clamp(range : Range)
clamp
, divmod(number) divmod, i i, round(digits = 0, base = 10) round, sign sign, significant(digits, base = 10) significant, step(*, to = nil, by = 1)
step(*, to = nil, by = 1, &block)
step
, to_big_f to_big_f, to_c to_c, to_yaml(yaml : YAML::Nodes::Builder) to_yaml, zero? : Bool zero?

Constructor methods inherited from struct Number

zero : self zero

Instance methods inherited from module Comparable(BigFloat)

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

Instance methods inherited from module Comparable(Number)

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

Instance methods inherited from struct Value

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

Instance methods inherited from class Object

!=(other) !=, !~(other) !~, ==(other) ==, ===(other : JSON::Any)
===(other : YAML::Any)
===(other)
===
, =~(other) =~, class class, dup dup, hash(hasher)
hash
hash
, inspect(io : IO)
inspect
inspect
, itself itself, not_nil! not_nil!, pretty_inspect(width = 79, newline = "\n", indent = 0) : String pretty_inspect, pretty_print(pp : PrettyPrint) : Nil pretty_print, tap(&block) tap, to_json(io : IO)
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(io : IO)
to_yaml
to_yaml
, try(&block) try, unsafe_as(type : T.class) forall T unsafe_as

Constructor methods inherited from class Object

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

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 - #

def <=>(other : BigDecimal) #

def <=>(other : BigRational) #

def <=>(other : BigInt) #

def days : Time::Span #

Returns a Time::Span of self days.


def fdiv(other) #

def finite? #

def hash(hasher) #

def hours : Time::Span #

Returns a Time::Span of self hours.


def infinite? #

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? #

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 #

Converts self to BigDecimal.

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


def to_big_i : BigInt #

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


def to_big_r #

Returns a BigRational representing this float.


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

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


def to_json(json : JSON::Builder) #