struct BigInt
Overview
A BigInt
can represent arbitrarily large integers.
It is implemented under the hood with GMP.
Included Modules
- Comparable(Float)
- Comparable(BigInt)
- Comparable(UInt128 | UInt16 | UInt32 | UInt64 | UInt8)
- Comparable(Int128 | Int16 | Int32 | Int64 | Int8)
Defined in:
big.crbig/big_int.cr
Constructors
-
.new(str : String, base = 10)
Creates a
BigInt
with the value denoted by str in the given base. -
.new(num : Int::Signed)
Creates a
BigInt
from the given num. -
.new(num : Int::Unsigned)
Creates a
BigInt
from the given num. -
.new(num : Float)
Creates a
BigInt
from the given num. -
.new(num : BigInt)
Returns num.
-
.new
Creates a
BigInt
with the value zero.
Instance Method Summary
- #%(other : Int) : BigInt
- #&(other : Int) : BigInt
- #*(other : Int) : BigInt
- #*(other : BigInt) : BigInt
- #*(other : LibGMP::IntPrimitiveSigned) : BigInt
- #*(other : LibGMP::IntPrimitiveUnsigned) : BigInt
- #**(other : Int) : BigInt
- #+(other : BigInt) : BigInt
- #+(other : Int) : BigInt
- #-(other : BigInt) : BigInt
- #-(other : Int) : BigInt
- #- : BigInt
- #/(other : Int) : BigInt
- #<<(other : Int) : BigInt
- #<=>(other : Float)
- #<=>(other : Int::Unsigned)
- #<=>(other : Int::Signed)
- #<=>(other : BigInt)
- #>>(other : Int) : BigInt
- #^(other : Int) : BigInt
- #abs : BigInt
- #clone
- #digits : Array(Int32)
- #divmod(number : BigInt)
- #divmod(number : Int::Unsigned)
- #divmod(number : Int::Signed)
- #gcd(other : Int) : Int
- #gcd(other : BigInt) : BigInt
-
#hash(hasher)
TODO improve this
- #inspect(io)
- #lcm(other : Int) : BigInt
- #lcm(other : BigInt) : BigInt
- #popcount
- #remainder(other : Int) : BigInt
- #tdiv(other : Int) : BigInt
- #to_big_f
- #to_big_i
- #to_f
- #to_f!
- #to_f32
- #to_f32!
- #to_f64
- #to_f64!
- #to_i
- #to_i!
- #to_i16
- #to_i16!
- #to_i32
- #to_i32!
- #to_i64
- #to_i64!
- #to_i8
- #to_i8!
-
#to_s
Returns a string representation of self.
-
#to_s(io)
Returns a string representation of self.
-
#to_s(base : Int)
Returns a string containing the representation of big radix base (2 through 36).
- #to_u
- #to_u!
- #to_u16
- #to_u16!
- #to_u32
- #to_u32!
- #to_u64
- #to_u64!
- #to_u8
- #to_u8!
- #to_unsafe
- #unsafe_floored_div(other : BigInt) : BigInt
- #unsafe_floored_div(other : Int) : BigInt
- #unsafe_floored_divmod(number : LibGMP::ULong)
- #unsafe_floored_divmod(number : BigInt)
- #unsafe_floored_mod(other : BigInt) : BigInt
- #unsafe_floored_mod(other : Int) : BigInt
- #unsafe_truncated_div(other : BigInt) : BigInt
- #unsafe_truncated_div(other : Int) : BigInt
- #unsafe_truncated_divmod(number : LibGMP::ULong)
- #unsafe_truncated_divmod(number : BigInt)
- #unsafe_truncated_mod(other : BigInt) : BigInt
- #unsafe_truncated_mod(other : Int) : BigInt
- #unsafe_truncated_mod(other : LibGMP::IntPrimitive) : BigInt
- #|(other : Int) : BigInt
- #~ : BigInt
Instance methods inherited from module Comparable(Float)
<(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 module Comparable(UInt128 | UInt16 | UInt32 | UInt64 | UInt8)
<(other : T | T | T | T | T)
<,
<=(other : T | T | T | T | T)
<=,
<=>(other : T | T | T | T | T)
<=>,
==(other : T | T | T | T | T)
==,
>(other : T | T | T | T | T)
>,
>=(other : T | T | T | T | T)
>=
Instance methods inherited from module Comparable(Int128 | Int16 | Int32 | Int64 | Int8)
<(other : T | T | T | T | T)
<,
<=(other : T | T | T | T | T)
<=,
<=>(other : T | T | T | T | T)
<=>,
==(other : T | T | T | T | T)
==,
>(other : T | T | T | T | T)
>,
>=(other : T | T | T | T | T)
>=
Instance methods inherited from struct Int
%(other : BigInt) : BigInt%(other : Int) %, &**(exponent : Int) : self &**, *(other : BigInt) : BigInt
*(other : BigRational)
*(other : BigDecimal) *, **(exponent : Float) : Float64
**(exponent : Int) : self **, +(other : BigInt) : BigInt
+(other : BigDecimal)
+(other : BigRational) +, -(other : BigRational)
-(other : BigInt) : BigInt
-(other : BigDecimal) -, /(other : BigDecimal)
/(other : BigRational)
/(other : Int)
/(other : BigInt) : BigInt /, //(other : Float)
//(other : Int) //, <<(count : Int) <<, <=>(other : BigInt)
<=>(other : BigRational)
<=>(other : BigDecimal) <=>, ===(char : Char) ===, >>(count : Int) >>, abs abs, bit(bit) bit, bits_set?(mask) bits_set?, ceil ceil, chr chr, day : Time::Span day, days : Time::Span days, divisible_by?(num) divisible_by?, downto(to, &block : self -> ) : Nil
downto(to) downto, even? even?, fdiv(other) fdiv, floor floor, gcd(other : Int) gcd, gcm(other : BigInt) : Int gcm, hash(hasher) hash, hour : Time::Span hour, hours : Time::Span hours, inspect(io) inspect, lcm(other : BigInt) : BigInt
lcm(other : Int) lcm, microsecond : Time::Span microsecond, microseconds : Time::Span microseconds, millisecond : Time::Span millisecond, milliseconds : Time::Span milliseconds, minute : Time::Span minute, minutes : Time::Span minutes, modulo(other) modulo, month : Time::MonthSpan month, months : Time::MonthSpan months, nanosecond : Time::Span nanosecond, nanoseconds : Time::Span nanoseconds, odd? odd?, popcount popcount, pred pred, remainder(other : Int) remainder, round round, second : Time::Span second, seconds : Time::Span seconds, succ succ, tdiv(other : Int) tdiv, times
times(&block : self -> ) : Nil times, to(to, &block : self -> ) : Nil
to(to) to, to_big_d to_big_d, to_big_i : BigInt to_big_i, to_big_r to_big_r, to_io(io : IO, format : IO::ByteFormat) to_io, to_json(json : JSON::Builder) to_json, to_s
to_s(base : Int, upcase : Bool = false)
to_s(io : IO)
to_s(base : Int, io : IO, upcase : Bool = false) to_s, trunc trunc, upto(to)
upto(to, &block : self -> ) : Nil upto, week : Time::Span week, weeks : Time::Span weeks, year : Time::MonthSpan year, years : Time::MonthSpan years, ~ ~
Constructor methods inherited from struct Int
from_io(io : IO, format : IO::ByteFormat) : self
from_io
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) : selffrom_json(string_or_io) : self from_json, from_yaml(string_or_io : String | IO) : self from_yaml
Constructor Detail
Creates a BigInt
with the value denoted by str in the given base.
Raises ArgumentError
if the string doesn't denote a valid integer.
BigInt.new("123456789123456789123456789123456789") # => 123456789123456789123456789123456789
BigInt.new("123_456_789_123_456_789_123_456_789") # => 123456789012345678901234567890
BigInt.new("1234567890ABCDEF", base: 16) # => 1311768467294899695
Returns num. Useful for generic code that does T.new(...)
with T
being a Number
.
Instance Method Detail
Returns a string representation of self.
BigInt.new("123456789101101987654321").to_s # => 123456789101101987654321
Returns a string representation of self.
BigInt.new("123456789101101987654321").to_s # => 123456789101101987654321
Returns a string containing the representation of big radix base (2 through 36).
BigInt.new("123456789101101987654321").to_s(8) # => "32111154373025463465765261"
BigInt.new("123456789101101987654321").to_s(16) # => "1a249b1f61599cd7eab1"
BigInt.new("123456789101101987654321").to_s(36) # => "k3qmt029k48nmpd"