JuliaLang/julia

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 # This file is a part of Julia. License is MIT: https://julialang.org/license # promote Bool to any other numeric type promote_rule(::Type{Bool}, ::Type{T}) where {T<:Number} = T typemin(::Type{Bool}) = false typemax(::Type{Bool}) = true ## boolean operations ## """ !(x) Boolean not. # Examples ```jldoctest julia> !true false julia> !false true julia> .![true false true] 1×3 BitArray{2}: false true false ``` """ function !(x::Bool) ## We need a better heuristic to detect this automatically @_pure_meta return not_int(x) end (~)(x::Bool) = !x (&)(x::Bool, y::Bool) = and_int(x, y) (|)(x::Bool, y::Bool) = or_int(x, y) """ xor(x, y) ⊻(x, y) Bitwise exclusive or of `x` and `y`. The infix operation `a ⊻ b` is a synonym for `xor(a,b)`, and `⊻` can be typed by tab-completing `\\xor` or `\\veebar` in the Julia REPL. # Examples ```jldoctest julia> [true; true; false] .⊻ [true; false; false] 3-element BitArray{1}: false true false ``` """ xor(x::Bool, y::Bool) = (x != y) >>(x::Bool, c::Unsigned) = Int(x) >> c <<(x::Bool, c::Unsigned) = Int(x) << c >>>(x::Bool, c::Unsigned) = Int(x) >>> c >>(x::Bool, c::Int) = Int(x) >> c <<(x::Bool, c::Int) = Int(x) << c >>>(x::Bool, c::Int) = Int(x) >>> c >>(x::Bool, c::Integer) = Int(x) >> c <<(x::Bool, c::Integer) = Int(x) << c >>>(x::Bool, c::Integer) = Int(x) >>> c signbit(x::Bool) = false sign(x::Bool) = x abs(x::Bool) = x abs2(x::Bool) = x iszero(x::Bool) = !x isone(x::Bool) = x <(x::Bool, y::Bool) = y&!x <=(x::Bool, y::Bool) = y|!x ## do arithmetic as Int ## +(x::Bool) = Int(x) -(x::Bool) = -Int(x) +(x::Bool, y::Bool) = Int(x) + Int(y) -(x::Bool, y::Bool) = Int(x) - Int(y) *(x::Bool, y::Bool) = x & y ^(x::Bool, y::Bool) = x | !y ^(x::Integer, y::Bool) = ifelse(y, x, one(x)) # preserve -0.0 in `false + -0.0` function +(x::Bool, y::T)::promote_type(Bool,T) where T<:AbstractFloat return ifelse(x, oneunit(y) + y, y) end +(y::AbstractFloat, x::Bool) = x + y # make `false` a "strong zero": false*NaN == 0.0 function *(x::Bool, y::T)::promote_type(Bool,T) where T<:AbstractFloat return ifelse(x, y, copysign(zero(y), y)) end *(y::AbstractFloat, x::Bool) = x * y div(x::Bool, y::Bool) = y ? x : throw(DivideError()) fld(x::Bool, y::Bool) = div(x,y) cld(x::Bool, y::Bool) = div(x,y) rem(x::Bool, y::Bool) = y ? false : throw(DivideError()) mod(x::Bool, y::Bool) = rem(x,y)