abstract struct Number
Overview
The top-level number type.
Included Modules
Direct Known Subclasses
Defined in:
big/big_float.crcomplex.cr
humanize.cr
number.cr
yaml/to_yaml.cr
Constant Summary
-
SI_PREFIXES =
{ {'q', 'r', 'y', 'z', 'a', 'f', 'p', 'n', 'µ', 'm'}, {nil, 'k', 'M', 'G', 'T', 'P', 'E', 'Z', 'Y', 'R', 'Q'} }
-
Default SI prefixes ordered by magnitude.
-
SI_PREFIXES_PADDED =
->(magnitude : Int32, _number : Float64) do magnitude = Number.prefix_index(magnitude) {magnitude, (magnitude == 0 ? " " : si_prefix(magnitude))} end
-
SI prefixes used by
#humanize
. Equal toSI_PREFIXES
but prepends the prefix with a space character.
Constructors
-
.additive_identity : self
Returns the additive identity of this type.
-
.multiplicative_identity : self
Returns the multiplicative identity of this type.
-
.zero : self
Returns the value zero in the respective type.
Class Method Summary
-
.si_prefix(magnitude : Int, prefixes = SI_PREFIXES) : Char | Nil
Returns the SI prefix for magnitude.
Macro Summary
- [](*nums)
- slice(*nums, read_only = false)
-
static_array(*nums)
Creates a
StaticArray
ofself
with the given values, which will be casted to this type with thenew
method (defined in eachNumber
type).
Instance Method Summary
- #*(other : BigFloat) : BigFloat
- #*(other : Complex) : Complex
- #+(other : BigFloat)
- #+(other : Complex) : Complex
-
#+
Returns
self
. - #-(other : BigFloat)
- #-(other : Complex) : Complex
- #/(other : BigFloat) : BigFloat
- #/(other : Complex) : Complex
-
#//(other)
Divides
self
by other using floored division. -
#<=>(other) : Int32 | Nil
The comparison operator.
- #==(other : Complex)
-
#abs : self
Returns the absolute value of this number.
-
#abs2
Returns the square of
self
(self * self
). -
#cis : Complex
Cis is a mathematical notation representing
cos x + i sin x
. -
#divmod(number)
Returns a
Tuple
of two elements containing the quotient and modulus obtained by dividingself
by number. -
#format(io : IO, separator = '.', delimiter = ',', decimal_places : Int | Nil = nil, *, group : Int = 3, only_significant : Bool = false) : Nil
Prints this number as a
String
using a customizable format. -
#format(separator = '.', delimiter = ',', decimal_places : Int | Nil = nil, *, group : Int = 3, only_significant : Bool = false) : String
Prints this number as a
String
using a customizable format. - #hash(hasher)
-
#humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Indexable = SI_PREFIXES) : Nil
Pretty prints this number as a
String
in a human-readable format. -
#humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Proc) : Nil
Pretty prints this number as a
String
in a human-readable format. -
#humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes = SI_PREFIXES) : String
Pretty prints this number as a
String
in a human-readable format. -
#humanize(io : IO, precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, &prefixes : Int32, Float64 -> Tuple(Int32, _) | Tuple(Int32, _, Bool)) : Nil
Pretty prints this number as a
String
in a human-readable format. -
#humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, &) : String
Pretty prints this number as a
String
in a human-readable format. -
#humanize(precision = 3, separator = '.', delimiter = ',', *, base = 10 ** 3, significant = true, prefixes : Proc) : String
Pretty prints this number as a
String
in a human-readable format. -
#i : Complex
Returns a
Complex
object with the value ofself
as the imaginary part. -
#integer? : Bool
Returns
true
ifself
is an integer. -
#negative? : Bool
Returns
true
ifself
is less than zero. -
#positive? : Bool
Returns
true
ifself
is greater than zero. -
#round(mode : RoundingMode = :ties_even) : self
Rounds
self
to an integer value using rounding mode. -
#round(digits : Number, base = 10, *, mode : RoundingMode = :ties_even)
Rounds this number to a given precision.
-
#sign : Int32
Returns the sign of this number as an
Int32
. -
#significant(digits, base = 10)
Keeps digits significant digits of this number in the given base.
-
#step(*, to limit = nil, exclusive : Bool = false, &) : Nil
Performs a
#step
in the direction of the limit. -
#step(*, to limit = nil, exclusive : Bool = false)
Performs a
#step
in the direction of the limit. - #to_big_f : BigFloat
-
#to_c : Complex
Returns a
Complex
object with the value ofself
as the real part. - #to_yaml(yaml : YAML::Nodes::Builder) : Nil
-
#zero? : Bool
Returns
true
ifself
is equal to zero.
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, &) : Nilstep(*, 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
Returns the additive identity of this type.
For numerical types, it is the value 0
expressed in the respective type.
Int32.additive_identity # => 0
Float64.additive_identity # => 0.0
Returns the multiplicative identity of this type.
For numerical types, it is the value 1
expressed in the respective type.
Int32.multiplicative_identity # => 1
Float64.multiplicative_identity # => 1.0
Returns the value zero in the respective type.
Int32.zero # => 0
Float64.zero # => 0.0
Class Method Detail
Returns the SI prefix for magnitude.
Number.si_prefix(3) # => 'k'
Macro Detail
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)
This is similar to an array literal of the same item type:
Int64[1, 2, 3, 4] # : Array(Int64)
[1, 2, 3, 4] of Int64 # : Array(Int64)
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)
This is a convenient alternative to Slice.[]
for designating a
specific item type which also considers autocasting.
Int64.slice(1, 2, 3, 4) # : Slice(Int64)
Slice[1_i64, 2_i64, 3_i64, 4_i64] # : Slice(Int64)
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)
This is a convenvenient alternative to StaticArray.[]
for designating a
specific item type which also considers autocasting.
Int64.static_array(1, 2, 3, 4) # : StaticArray(Int64)
StaticArray[1_i64, 2_i64, 3_i64, 4_i64] # : StaticArray(Int64)
Instance Method Detail
Divides self
by other using floored division.
The result will be of the same type as self
.
The comparison operator.
Returns:
-1
ifself
is less than other0
ifself
is equal to other1
ifself
is greater than othernil
ifself
isNaN
or other isNaN
, becauseNaN
values are not comparable
Cis is a mathematical notation representing cos x + i sin x
.
Returns a Complex
object with real part Math.cos(self)
and imaginary part Math.sin(self)
, where self
represents the angle in radians.
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) # => {-4, -1}
Prints this number as a String
using a customizable format.
separator is used as decimal separator, delimiter as thousands delimiter between batches of group digits.
If decimal_places is nil
, all significant decimal places are printed
(similar to #to_s
). If the argument has a numeric value, the number of
visible decimal places will be fixed to that amount.
Trailing zeros are omitted if only_significant is true
.
123_456.789.format # => "123,456.789"
123_456.789.format(',', '.') # => "123.456,789"
123_456.789.format(decimal_places: 2) # => "123,456.79"
123_456.789.format(decimal_places: 6) # => "123,456.789000"
123_456.789.format(decimal_places: 6, only_significant: true) # => "123,456.789"
Prints this number as a String
using a customizable format.
separator is used as decimal separator, delimiter as thousands delimiter between batches of group digits.
If decimal_places is nil
, all significant decimal places are printed
(similar to #to_s
). If the argument has a numeric value, the number of
visible decimal places will be fixed to that amount.
Trailing zeros are omitted if only_significant is true
.
123_456.789.format # => "123,456.789"
123_456.789.format(',', '.') # => "123.456,789"
123_456.789.format(decimal_places: 2) # => "123,456.79"
123_456.789.format(decimal_places: 6) # => "123,456.789000"
123_456.789.format(decimal_places: 6, only_significant: true) # => "123,456.789"
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
See Int#humanize_bytes
to format a file size.
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
This methods yields the order of magnitude and self
and expects the block
to return a Tuple(Int32, _)
containing the (adjusted) magnitude and unit.
The magnitude is typically adjusted to a multiple of 3
.
def humanize_length(number)
number.humanize do |magnitude, number|
case magnitude
when -2, -1 then {-2, " cm"}
when .>=(4)
{3, " km"}
else
magnitude = Number.prefix_index(magnitude)
{magnitude, " #{Number.si_prefix(magnitude)}m"}
end
end
end
humanize_length(1_420) # => "1.42 km"
humanize_length(0.23) # => "23.0 cm"
See Int#humanize_bytes
to format a file size.
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
See Int#humanize_bytes
to format a file size.
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
This methods yields the order of magnitude and self
and expects the block
to return a Tuple(Int32, _)
containing the (adjusted) magnitude and unit.
The magnitude is typically adjusted to a multiple of 3
.
def humanize_length(number)
number.humanize do |magnitude, number|
case magnitude
when -2, -1 then {-2, " cm"}
when .>=(4)
{3, " km"}
else
magnitude = Number.prefix_index(magnitude)
{magnitude, " #{Number.si_prefix(magnitude)}m"}
end
end
end
humanize_length(1_420) # => "1.42 km"
humanize_length(0.23) # => "23.0 cm"
See Int#humanize_bytes
to format a file size.
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
This methods yields the order of magnitude and self
and expects the block
to return a Tuple(Int32, _)
containing the (adjusted) magnitude and unit.
The magnitude is typically adjusted to a multiple of 3
.
def humanize_length(number)
number.humanize do |magnitude, number|
case magnitude
when -2, -1 then {-2, " cm"}
when .>=(4)
{3, " km"}
else
magnitude = Number.prefix_index(magnitude)
{magnitude, " #{Number.si_prefix(magnitude)}m"}
end
end
end
humanize_length(1_420) # => "1.42 km"
humanize_length(0.23) # => "23.0 cm"
See Int#humanize_bytes
to format a file size.
Pretty prints this number as a String
in a human-readable format.
This is particularly useful if a number can have a wide value range and the exact value is less relevant.
It rounds the number to the nearest thousands magnitude with precision
number of significant digits. The order of magnitude is expressed with an
appended quantifier.
By default, SI prefixes are used (see SI_PREFIXES
).
1_200_000_000.humanize # => "1.2G"
0.000_000_012.humanize # => "12.0n"
If significant is false
, the number of precision digits is preserved
after the decimal separator.
1_234.567_890.humanize(precision: 2) # => "1.2k"
1_234.567_890.humanize(precision: 2, significant: false) # => "1.23k"
separator describes the decimal separator, delimiter the thousands
delimiter (see #format
).
This methods yields the order of magnitude and self
and expects the block
to return a Tuple(Int32, _)
containing the (adjusted) magnitude and unit.
The magnitude is typically adjusted to a multiple of 3
.
def humanize_length(number)
number.humanize do |magnitude, number|
case magnitude
when -2, -1 then {-2, " cm"}
when .>=(4)
{3, " km"}
else
magnitude = Number.prefix_index(magnitude)
{magnitude, " #{Number.si_prefix(magnitude)}m"}
end
end
end
humanize_length(1_420) # => "1.42 km"
humanize_length(0.23) # => "23.0 cm"
See Int#humanize_bytes
to format a file size.
Returns a Complex
object with the value of self
as the imaginary part.
Returns true
if self
is an integer.
Non-integer types may return true
as long as self
denotes a finite value
without any fractional parts.
1.integer? # => true
1.0.integer? # => true
1.2.integer? # => false
(1 / 0).integer? # => false
(0 / 0).integer? # => false
Returns true
if self
is less than zero.
-1.negative? # => true
0.negative? # => false
1.negative? # => false
Returns true
if self
is greater than zero.
-1.positive? # => false
0.positive? # => false
1.positive? # => true
Rounds self
to an integer value using rounding mode.
The rounding mode controls the direction of the rounding. The default is
RoundingMode::TIES_EVEN
which rounds to the nearest integer, with ties
(fractional value of 0.5
) being rounded to the even neighbor (Banker's rounding).
Rounds this number to a given precision.
Rounds to the specified number of digits after the decimal place, (or before if negative), in base base.
The rounding mode controls the direction of the rounding. The default is
RoundingMode::TIES_EVEN
which rounds to the nearest integer, with ties
(fractional value of 0.5
) being rounded to the even neighbor (Banker's rounding).
-1763.116.round(2) # => -1763.12
Returns the sign of this number as an Int32
.
-1
if this number is negative0
if this number is zero1
if this number is positive
123.sign # => 1
0.sign # => 0
-42.sign # => -1
Keeps digits significant 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
Performs a #step
in the direction of the limit. For instance:
10.step(to: 5).to_a # => [10, 9, 8, 7, 6, 5]
5.step(to: 10).to_a # => [5, 6, 7, 8, 9, 10]
Performs a #step
in the direction of the limit. For instance:
10.step(to: 5).to_a # => [10, 9, 8, 7, 6, 5]
5.step(to: 10).to_a # => [5, 6, 7, 8, 9, 10]
Returns a Complex
object with the value of self
as the real part.
Returns true
if self
is equal to zero.
0.zero? # => true
5.zero? # => false