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

See Float literals in the language reference.

Included Modules

Direct Known Subclasses

Defined in:

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

Constructors

Instance Method Summary

Instance methods inherited from module Comparable(BigDecimal)

<, <=(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) <=, <=>(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) <=, <=>(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 : BigFloat)
<=>(other) : Int32? <=>, ==(other : Complex) ==, abs : self abs, abs2 abs2, cis : Complex cis, divmod(number) divmod, format(io : IO, separator = '.', delimiter = ',', decimal_places : Int? = nil, *, group : Int = 3, only_significant : Bool = false) : Nil
format(separator = '.', delimiter = ',', decimal_places : Int? = nil, *, group : Int = 3, only_significant : Bool = false) : String format, humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Indexable = SI_PREFIXES) : Nil
humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Proc) : Nil
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes = SI_PREFIXES) : String
humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, &prefixes : Int32, Float64 -> Tuple(Int32, _) | Tuple(Int32, _, Bool)) : Nil
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, &) : String
humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Proc) : String humanize, i : Complex i, 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? si_prefix

Instance methods inherited from module Comparable(BigFloat)

<, <=(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) <=, <=>(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! 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

Constructor Detail

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

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

Instance Method Detail

def %(other)Source

def -Source

def //(other)Source

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)Source

def <=>(other : BigRational)Source

def <=>(other : BigDecimal)Source

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::SpanSource

Returns a Time::Span of self days.

def fdiv(other : BigInt | BigFloat | BigDecimal | BigRational) : selfSource

def finite? : BoolSource

def hash(hasher)Source

See Object#hash(hasher)

def hours : Time::SpanSource

Returns a Time::Span of self hours.

def infinite? : Int32?Source

def microseconds : Time::SpanSource

Returns a Time::Span of self microseconds.

def milliseconds : Time::SpanSource

Returns a Time::Span of self milliseconds.

def minutes : Time::SpanSource

Returns a Time::Span of self minutes.

def modulo(other)Source

def nan? : BoolSource

def nanoseconds : Time::SpanSource

Returns a Time::Span of self nanoseconds.

def remainder(other)Source

def seconds : Time::SpanSource

Returns a Time::Span of self seconds.

def to_big_d : BigDecimalSource

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 : BigIntSource

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

require "big"

1212341515125412412412421.0.to_big_i

def to_big_r : BigRationalSource

Returns a BigRational representing this float.

require "big"

123.0.to_big_r

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

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

def to_json(json : JSON::Builder) : NilSource

def to_json_object_key : StringSource

def to_yaml(yaml : YAML::Nodes::Builder) : NilSource

def weeks : Time::SpanSource

Returns a Time::Span of self weeks.

© 2012–2021 Manas Technology Solutions.
Licensed under the Apache License, Version 2.0.
https://crystal-lang.org/api/1.2.1/Float.html