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[Numbers](@id lib-numbers)

Standard Numeric Types

A type tree for all subtypes of Number in Base is shown below. Abstract types have been marked, the rest are concrete types.

Number  (Abstract Type)
├─ Complex
└─ Real  (Abstract Type)
   ├─ AbstractFloat  (Abstract Type)
   │  ├─ Float16
   │  ├─ Float32
   │  ├─ Float64
   │  └─ BigFloat
   ├─ Integer  (Abstract Type)
   │  ├─ Bool
   │  ├─ Signed  (Abstract Type)
   │  │  ├─ Int8
   │  │  ├─ Int16
   │  │  ├─ Int32
   │  │  ├─ Int64
   │  │  ├─ Int128
   │  │  └─ BigInt
   │  └─ Unsigned  (Abstract Type)
   │     ├─ UInt8
   │     ├─ UInt16
   │     ├─ UInt32
   │     ├─ UInt64
   │     └─ UInt128
   ├─ Rational
   └─ AbstractIrrational  (Abstract Type)
      └─ Irrational

Abstract number types

Core.Number
Core.Real
Core.AbstractFloat
Core.Integer
Core.Signed
Core.Unsigned
Base.AbstractIrrational

Concrete number types

Core.Float16
Core.Float32
Core.Float64
Base.BigFloat
Core.Bool
Core.Int8
Core.UInt8
Core.Int16
Core.UInt16
Core.Int32
Core.UInt32
Core.Int64
Core.UInt64
Core.Int128
Core.UInt128
Base.Int
Base.UInt
Base.BigInt
Base.Complex
Base.Rational
Base.Irrational

Data Formats

Base.digits
Base.digits!
Base.bitstring
Base.parse
Base.tryparse
Base.big
Base.signed
Base.unsigned
Base.float(::Any)
Base.Math.significand
Base.Math.exponent
Base.complex(::Complex)
Base.bswap
Base.hex2bytes
Base.hex2bytes!
Base.bytes2hex

General Number Functions and Constants

Base.one
Base.oneunit
Base.zero
Base.im
Base.MathConstants.pi
Base.MathConstants.ℯ
Base.MathConstants.catalan
Base.MathConstants.eulergamma
Base.MathConstants.golden
Base.Inf
Base.Inf64
Base.Inf32
Base.Inf16
Base.NaN
Base.NaN64
Base.NaN32
Base.NaN16
Base.issubnormal
Base.isfinite
Base.isinf
Base.isnan
Base.iszero
Base.isone
Base.nextfloat
Base.prevfloat
Base.isinteger
Base.isreal
Core.Float32(::Any)
Core.Float64(::Any)
Base.Rounding.rounding
Base.Rounding.setrounding(::Type, ::Any)
Base.Rounding.setrounding(::Function, ::Type, ::RoundingMode)
Base.Rounding.get_zero_subnormals
Base.Rounding.set_zero_subnormals

Integers

Base.count_ones
Base.count_zeros
Base.leading_zeros
Base.leading_ones
Base.trailing_zeros
Base.trailing_ones
Base.isodd
Base.iseven
Base.@int128_str
Base.@uint128_str

[BigFloats and BigInts](@id BigFloats-and-BigInts)

The BigFloat and BigInt types implements arbitrary-precision floating point and integer arithmetic, respectively. For BigFloat the GNU MPFR library is used, and for BigInt the [GNU Multiple Precision Arithmetic Library (GMP)] (https://gmplib.org) is used.

Base.MPFR.BigFloat(::Any, rounding::RoundingMode)
Base.precision
Base.MPFR.setprecision
Base.GMP.BigInt(::Any)
Base.@big_str