# abstract struct Int

- Int
- Number
- Value
- Object

##
Overview

Int is the base type of all integer types.

There are four signed integer types: `Int8`, `Int16`, `Int32` and `Int64`, being able to represent numbers of 8, 16, 32 and 64 bits respectively. There are four unsigned integer types: `UInt8`, `UInt16`, `UInt32` and `UInt64`.

An integer literal is an optional `#+` or `#-` sign, followed by a sequence of digits and underscores, optionally followed by a suffix. If no suffix is present, the literal's type is `Int32`, or `Int64` if the number doesn't fit into an `Int32`:

    1 # Int32

    1_i8  # Int8
    1_i16 # Int16
    1_i32 # Int32
    1_i64 # Int64

    1_u8  # UInt8
    1_u16 # UInt16
    1_u32 # UInt32
    1_u64 # UInt64

    +10 # Int32
    -20 # Int32

    2147483648 # Int64

Literals without a suffix that are larger than `Int64::MAX` represent a `UInt64` if the number fits, e.g. `9223372036854775808` and `0x80000000_00000000`. This behavior is deprecated and will become an error in the future.

The underscore `_` before the suffix is optional.

Underscores can be used to make some numbers more readable:

    1_000_000 # better than 1000000

Binary numbers start with `0b`:

    0b1101 # == 13

Octal numbers start with `0o`:

    0o123 # == 83

Hexadecimal numbers start with `0x`:

    0xFE012D # == 16646445
    0xfe012d # == 16646445

See `Integer` literals in the language reference.

##
Included Modules

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

##
Direct Known Subclasses

- BigInt
- Int128
- Int16
- Int32
- Int64
- Int8
- UInt128
- UInt16
- UInt32
- UInt64
- UInt8

##
Defined in:

big/big_decimal.cr
big/big_float.cr
big/big_int.cr
big/big_rational.cr
big/number.cr
humanize.cr
int.cr
json/to_json.cr
time/span.cr:419
time/span.cr:589

##
Constructors

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

  Reads an integer from the given io in the given format.

##
Instance Method Summary

- #%(other : BigInt) : BigInt
- #%(other : Int)

  Returns `self` modulo other.

- #&*(other : BigInt) : BigInt
- #&**(exponent : Int) : self

  Returns the value of raising `self` to the power of exponent.

- #&+(other : BigInt) : BigInt
- #&-(other : BigInt) : BigInt
- #*(other : BigInt) : BigInt
- #*(other : BigRational) : BigRational
- #*(other : BigDecimal) : BigDecimal
- #**(exponent : Int) : self

  Returns the value of raising `self` to the power of exponent.

- #**(exponent : Float) : Float64

  Returns the value of raising `self` to the power of exponent.

- #+(other : BigInt) : BigInt
- #+(other : BigRational) : BigRational
- #+(other : BigDecimal) : BigDecimal
- #-(other : BigInt) : BigInt
- #-(other : BigFloat) : BigFloat
- #-(other : BigRational) : BigRational
- #-(other : BigDecimal) : BigDecimal
- #/(other : BigFloat) : BigFloat
- #/(other : BigRational)
- #//(other : Int::Primitive)

  Divides `self` by other using floored division.

- #<<(count : Int)

  Returns the result of shifting this number's bits count positions to the left.

- #<=>(other : BigInt)
- #<=>(other : Int) : Int32
- #<=>(other : BigFloat) : Int32
- #<=>(other : BigRational) : Int32
- #<=>(other : BigDecimal)

  The comparison operator.

- #===(char : Char)
- #>>(count : Int)

  Returns the result of shifting this number's bits count positions to the right.

- #~
- #abs : self

  Returns the absolute value of this number.

- #bit(bit)

  Returns this number's bitth bit, starting with the least-significant.

- #bit_length : Int32

  Returns the number of bits of this int value.

- #bits(range : Range)

  Returns the requested range of bits

- #bits_set?(mask) : Bool

  Returns `true` if all bits in mask are set on `self`.

- #ceil : self
- #chr : Char

  Returns a `Char` that has the unicode codepoint of `self`.

- #day : Time::Span

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

- #days : Time::Span

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

- #digits(base = 10) : Array(Int32)

  Returns the digits of a number in a given base.

- #divisible_by?(num) : Bool
- #downto(to, &block : self -> ) : Nil

  Calls the given block with each integer value from self down to `#to`.

- #downto(to)

  Get an iterator for counting down from self to `#to`.

- #even? : Bool
- #fdiv(other) : Float64
- #floor : self
- #gcd(other : self) : self

  Returns the greatest common divisor of `self` and other.

- #gcd(other : BigInt) : Int

  Returns the greatest common divisor of `self` and other.

- #hour : Time::Span

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

- #hours : Time::Span

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

- #humanize_bytes(io : IO, precision : Int = 3, separator = '.', *, significant : Bool = true, unit_separator = nil, format : BinaryPrefixFormat = :IEC) : Nil

  Prints this integer as a binary value in a human-readable format using a `BinaryPrefixFormat`.

- #humanize_bytes(precision : Int = 3, separator = '.', *, significant : Bool = true, unit_separator = nil, format : BinaryPrefixFormat = :IEC) : String

  Prints this integer as a binary value in a human-readable format using a `BinaryPrefixFormat`.

- #integer? : Bool

  Returns `true` if `self` is an integer.

- #lcm(other : BigInt) : BigInt

  Returns the least common multiple of `self` and other.

- #lcm(other : Int)

  Returns the least common multiple of `self` and other.

- #microsecond : Time::Span

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

- #microseconds : Time::Span

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

- #millisecond : Time::Span

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

- #milliseconds : Time::Span

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

- #minute : Time::Span

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

- #minutes : Time::Span

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

- #modulo(other)
- #month : Time::MonthSpan

  Returns a `Time::MonthSpan` of `self` months.

- #months : Time::MonthSpan

  Returns a `Time::MonthSpan` of `self` months.

- #nanosecond : Time::Span

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

- #nanoseconds : Time::Span

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

- #odd? : Bool
- #popcount

  Counts `1`-bits in the binary representation of this integer.

- #pred : self
- #remainder(other : Int)

  Returns `self` remainder other.

- #round(mode : RoundingMode) : self

  Rounds `self` to an integer value using rounding mode.

- #round_away

  Returns `self`.

- #round_even : self

  Returns `self`.

- #second : Time::Span

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

- #seconds : Time::Span

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

- #succ : self
- #tdiv(other : Int)

  Divides `self` by other using truncated division.

- #times(&block : self -> ) : Nil
- #times
- #to(to, &block : self -> ) : Nil
- #to(to)
- #to_big_d : BigDecimal

  Converts `self` to `BigDecimal`.

- #to_big_i : BigInt

  Returns a `BigInt` representing this integer.

- #to_big_r : BigRational

  Returns a `BigRational` representing this integer.

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

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

- #to_json(json : JSON::Builder) : Nil
- #to_json_object_key : String
- #to_s(io : IO, base : Int = 10, *, precision : Int = 1, upcase : Bool = false) : Nil

  Appends a string representation of this integer to the given io.

- #to_s(base : Int = 10, *, precision : Int = 1, upcase : Bool = false) : String

  Returns a string representation of this integer.

- #trailing_zeros_count

  Returns the number of trailing `0`-bits.

- #trunc : self
- #upto(to, &block : self -> ) : Nil
- #upto(to)
- #week : Time::Span

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

- #weeks : Time::Span

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

- #year : Time::MonthSpan

  Returns a `Time::MonthSpan` of `self` years.

- #years : Time::MonthSpan

  Returns a `Time::MonthSpan` of `self` years.

### 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 : Log::Metadata::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 : String | IO, root : String)
from_json(string_or_io : String | 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 an integer from the given io in the given format.

See also: `IO#read_bytes`.

##
Instance Method Detail

def %(other : BigInt) : BigInt #
def %(other : Int) #

Returns `self` modulo other.

This uses floored division.

See `Int#/` for more details.

def &*(other : BigInt) : BigInt #
def &**(exponent : Int) : self #

Returns the value of raising `self` to the power of exponent.

Raises `ArgumentError` if exponent is negative: if this is needed, either use a float base or a float exponent.

Intermediate multiplication will wrap around silently in case of overflow.

    2 &** 3  # => 8
    2 &** 0  # => 1
    2 &** -1 # ArgumentError

def &+(other : BigInt) : BigInt #
def &-(other : BigInt) : BigInt #
def *(other : BigInt) : BigInt #
def *(other : BigRational) : BigRational #
def *(other : BigDecimal) : BigDecimal #
def **(exponent : Int) : self #

Returns the value of raising `self` to the power of exponent.

Raises `ArgumentError` if exponent is negative: if this is needed, either use a float base or a float exponent.

Raises `OverflowError` in case of overflow.

    2 ** 3  # => 8
    2 ** 0  # => 1
    2 ** -1 # ArgumentError

def **(exponent : Float) : Float64 #

Returns the value of raising `self` to the power of exponent.

    2 ** 3.0  # => 8.0
    2 ** 0.0  # => 1.0
    2 ** -1.0 # => 0.5

def +(other : BigInt) : BigInt #
def +(other : BigRational) : BigRational #
def +(other : BigDecimal) : BigDecimal #
def -(other : BigInt) : BigInt #
def -(other : BigFloat) : BigFloat #
def -(other : BigRational) : BigRational #
def -(other : BigDecimal) : BigDecimal #
def /(other : BigFloat) : BigFloat #
def /(other : BigRational) #
def //(other : Int::Primitive) #

Divides `self` by other using floored division.

In floored division, given two integers x and y:

- q = x / y is rounded toward negative infinity
- r = x % y has the sign of the second argument
- x == q*y + r

For example:

     x     y     x / y     x % y
     5     3       1         2
    -5     3      -2         1
     5    -3      -2        -1
    -5    -3       1        -2

Raises if other is zero, or if other is -1 and `self` is signed and is the minimum value for that integer type.

def <<(count : Int) #

Returns the result of shifting this number's bits count positions to the left.

- If count is greater than the number of bits of this integer, returns 0
- If count is negative, a right shift is performed

    8000 << 1  # => 16000
    8000 << 2  # => 32000
    8000 << 32 # => 0
    8000 << -1 # => 4000

def <=>(other : BigInt) #
def <=>(other : Int) : Int32 #
def <=>(other : BigFloat) : Int32 #
def <=>(other : BigRational) : Int32 #
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 ===(char : Char) #
def >>(count : Int) #

Returns the result of shifting this number's bits count positions to the right. Also known as arithmetic right shift.

- If count is greater than the number of bits of this integer, returns 0
- If count is negative, a left shift is performed

    8000 >> 1  # => 4000
    8000 >> 2  # => 2000
    8000 >> 32 # => 0
    8000 >> -1 # => 16000

    -8000 >> 1 # => -4000

def ~ #
def abs : self #
Description copied from struct Number

Returns the absolute value of this number.

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

def bit(bit) #

Returns this number's bitth bit, starting with the least-significant.

    11.bit(0) # => 1
    11.bit(1) # => 1
    11.bit(2) # => 0
    11.bit(3) # => 1
    11.bit(4) # => 0

def bit_length : Int32 #

Returns the number of bits of this int value.

“The number of bits” means that the bit position of the highest bit which is different to the sign bit. (The bit position of the bit 2**n is n+1.) If there is no such bit (zero or minus one), zero is returned.

I.e. This method returns `ceil(log2(self < 0 ? -self : self + 1))`.

    0.bit_length # => 0
    1.bit_length # => 1
    2.bit_length # => 2
    3.bit_length # => 2
    4.bit_length # => 3
    5.bit_length # => 3

    # The above is the same as
    0b0.bit_length   # => 0
    0b1.bit_length   # => 1
    0b10.bit_length  # => 2
    0b11.bit_length  # => 2
    0b100.bit_length # => 3
    0b101.bit_length # => 3

def bits(range : Range) #

Returns the requested range of bits

    0b10011.bits(0..1) # => 0b11
    0b10011.bits(0..2) # => 0b11
    0b10011.bits(0..3) # => 0b11
    0b10011.bits(0..4) # => 0b10011
    0b10011.bits(0..5) # => 0b10011
    0b10011.bits(1..4) # => 0b1001

def bits_set?(mask) : Bool #

Returns `true` if all bits in mask are set on `self`.

    0b0110.bits_set?(0b0110) # => true
    0b1101.bits_set?(0b0111) # => false
    0b1101.bits_set?(0b1100) # => true

def ceil : self #
def chr : Char #

Returns a `Char` that has the unicode codepoint of `self`.

Raises `ArgumentError` if this integer's value doesn't fit a char's range (`0..0xd7ff` and `0xe000..0x10ffff`).

    97.chr # => 'a'

def day : Time::Span #

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

def days : Time::Span #

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

def digits(base = 10) : Array(Int32) #

Returns the digits of a number in a given base. The digits are returned as an array with the least significant digit as the first array element.

    12345.digits      # => [5, 4, 3, 2, 1]
    12345.digits(7)   # => [4, 6, 6, 0, 5]
    12345.digits(100) # => [45, 23, 1]

    -12345.digits(7) # => ArgumentError

def divisible_by?(num) : Bool #
def downto(to, &block : self -> ) : Nil #

Calls the given block with each integer value from self down to `#to`.

    3.downto(1) do |i|
      puts i
    end

Prints:

    3
    2
    1

def downto(to) #

Get an iterator for counting down from self to `#to`.

def even? : Bool #
def fdiv(other) : Float64 #
def floor : self #
def gcd(other : self) : self #

Returns the greatest common divisor of `self` and other. Signed integers may raise `OverflowError` if either has value equal to `MIN` of its type.

    5.gcd(10) # => 5
    5.gcd(7)  # => 1

def gcd(other : BigInt) : Int #

Returns the greatest common divisor of `self` and other.

def hour : Time::Span #

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

def hours : Time::Span #

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

def humanize_bytes(io : IO, precision : Int = 3, separator = '.', *, significant : Bool = true, unit_separator = nil, format : BinaryPrefixFormat = :IEC) : Nil #

Prints this integer as a binary value in a human-readable format using a `BinaryPrefixFormat`.

Values with binary measurements such as computer storage (e.g. RAM size) are typically expressed using unit prefixes based on 1024 (instead of multiples of 1000 as per SI standard). This method by default uses the IEC standard prefixes (`Ki`, `Mi`, `Gi`, `Ti`, `Pi`, `Ei`, `Zi`, `Yi`, `Ri`, `Qi`) based on powers of 1000 (see `BinaryPrefixFormat::IEC`).

format can be set to use the extended range of JEDEC units (`K`, `M`, `G`, `T`, `P`, `E`, `Z`, `Y`, `R`, `Q`) which equals to the prefixes of the SI system except for uppercase `K` and is based on powers of 1024 (see `BinaryPrefixFormat::JEDEC`).

    1.humanize_bytes                        # => "1B"
    1024.humanize_bytes                     # => "1.0kiB"
    1536.humanize_bytes                     # => "1.5kiB"
    524288.humanize_bytes                   # => "512kiB"
    1073741824.humanize_bytes(format: :IEC) # => "1.0GiB"

See `Number#humanize` for more details on the behaviour and arguments.

def humanize_bytes(precision : Int = 3, separator = '.', *, significant : Bool = true, unit_separator = nil, format : BinaryPrefixFormat = :IEC) : String #

Prints this integer as a binary value in a human-readable format using a `BinaryPrefixFormat`.

Values with binary measurements such as computer storage (e.g. RAM size) are typically expressed using unit prefixes based on 1024 (instead of multiples of 1000 as per SI standard). This method by default uses the IEC standard prefixes (`Ki`, `Mi`, `Gi`, `Ti`, `Pi`, `Ei`, `Zi`, `Yi`, `Ri`, `Qi`) based on powers of 1000 (see `BinaryPrefixFormat::IEC`).

format can be set to use the extended range of JEDEC units (`K`, `M`, `G`, `T`, `P`, `E`, `Z`, `Y`, `R`, `Q`) which equals to the prefixes of the SI system except for uppercase `K` and is based on powers of 1024 (see `BinaryPrefixFormat::JEDEC`).

    1.humanize_bytes                        # => "1B"
    1024.humanize_bytes                     # => "1.0kiB"
    1536.humanize_bytes                     # => "1.5kiB"
    524288.humanize_bytes                   # => "512kiB"
    1073741824.humanize_bytes(format: :IEC) # => "1.0GiB"

See `Number#humanize` for more details on the behaviour and arguments.

def integer? : Bool #

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

Always returns `true` for `Int`.

def lcm(other : BigInt) : BigInt #

Returns the least common multiple of `self` and other.

def lcm(other : Int) #

Returns the least common multiple of `self` and other.

Raises `OverflowError` in case of overflow.

def microsecond : Time::Span #

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

def microseconds : Time::Span #

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

def millisecond : Time::Span #

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

def milliseconds : Time::Span #

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

def minute : Time::Span #

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

def minutes : Time::Span #

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

def modulo(other) #
def month : Time::MonthSpan #

Returns a `Time::MonthSpan` of `self` months.

def months : Time::MonthSpan #

Returns a `Time::MonthSpan` of `self` months.

def nanosecond : Time::Span #

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

def nanoseconds : Time::Span #

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

def odd? : Bool #
abstract def popcount #

Counts `1`-bits in the binary representation of this integer.

    5.popcount   # => 2
    -15.popcount # => 29

def pred : self #
def remainder(other : Int) #

Returns `self` remainder other.

This uses truncated division.

See `Int#tdiv` for more details.

def round(mode : RoundingMode) : self #
Description copied from struct Number

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).

def round_away #

Returns `self`.

def round_even : self #

Returns `self`.

def second : Time::Span #

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

def seconds : Time::Span #

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

def succ : self #
def tdiv(other : Int) #

Divides `self` by other using truncated division.

In truncated division, given two integers x and y:

- `q = x.tdiv(y)` is rounded toward zero
- `r = x.remainder(y)` has the sign of the first argument
- `x == q*y + r`

For example:

     x     y     x / y     x % y
     5     3       1         2
    -5     3      -1        -2
     5    -3      -1         2
    -5    -3       1        -2

Raises if other is `0`, or if other is `-1` and `self` is signed and is the minimum value for that integer type.

def times(&block : self -> ) : Nil #
def times #
def to(to, &block : self -> ) : Nil #
def to(to) #
def to_big_d : BigDecimal #

Converts `self` to `BigDecimal`.

    require "big"
    123456789012345678.to_big_d

def to_big_i : BigInt #

Returns a `BigInt` representing this integer.

    require "big"

    123.to_big_i

def to_big_r : BigRational #

Returns a `BigRational` representing this integer.

    require "big"

    123.to_big_r

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

Writes this integer 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_s(io : IO, base : Int = 10, *, precision : Int = 1, upcase : Bool = false) : Nil #

Appends a string representation of this integer to the given io.

base specifies the radix of the written string, and must be either 62 or a number between 2 and 36. By default, digits above 9 are represented by ASCII lowercase letters (`a` for 10, `b` for 11, etc.), but uppercase letters may be used if upcase is `true`, unless base 62 is used. In that case, lowercase letters are used for 10 to 35, and uppercase ones for 36 to 61, and upcase must be `false`.

precision specifies the minimum number of digits in the written string. If there are fewer digits than this number, the string is left-padded by zeros. If `self` and precision are both zero, returns an empty string.

def to_s(base : Int = 10, *, precision : Int = 1, upcase : Bool = false) : String #

Returns a string representation of this integer.

base specifies the radix of the returned string, and must be either 62 or a number between 2 and 36. By default, digits above 9 are represented by ASCII lowercase letters (`a` for 10, `b` for 11, etc.), but uppercase letters may be used if upcase is `true`, unless base 62 is used. In that case, lowercase letters are used for 10 to 35, and uppercase ones for 36 to 61, and upcase must be `false`.

precision specifies the minimum number of digits in the returned string. If there are fewer digits than this number, the string is left-padded by zeros. If `self` and precision are both zero, returns an empty string.

    1234.to_s                   # => "1234"
    1234.to_s(2)                # => "10011010010"
    1234.to_s(16)               # => "4d2"
    1234.to_s(16, upcase: true) # => "4D2"
    1234.to_s(36)               # => "ya"
    1234.to_s(62)               # => "jU"
    1234.to_s(precision: 2)     # => "1234"
    1234.to_s(precision: 6)     # => "001234"

abstract def trailing_zeros_count #

Returns the number of trailing `0`-bits.

def trunc : self #
def upto(to, &block : self -> ) : Nil #
def upto(to) #
def week : Time::Span #

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

def weeks : Time::Span #

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

def year : Time::MonthSpan #

Returns a `Time::MonthSpan` of `self` years.

def years : Time::MonthSpan #

Returns a `Time::MonthSpan` of `self` years.