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 ## generic operations on numbers ## isreal(x::Number) = false isreal(x::Real) = true isinteger(x::Number) = false isinteger(x::Integer) = true real_valued(x::Real) = true integer_valued(x::Integer) = true isbool(x::Number) = false isbool(x::Bool) = true const islogical = isbool size(x::Number) = () eltype(x::Number) = typeof(x) eltype{T<:Number}(::Type{T}) = T ndims(x::Number) = 0 ndims{T<:Number}(::Type{T}) = 0 length(x::Number) = 1 ref(x::Number) = x signbit(x::Real) = int(x < 0) sign(x::Real) = x < 0 ? -one(x) : x > 0 ? one(x) : x abs(x::Real) = x < 0 ? -x : x abs2(x::Real) = x*x conj(x::Real) = x transpose(x::Number) = x ctranspose(x::Number) = conj(x) inv(x::Number) = one(x)/x angle(z::Real) = atan2(zero(z), z) # TODO: should we really treat numbers as iterable? start(a::Real) = a next(a::Real, i) = (a, a+1) done(a::Real, i) = (i > a) isempty(a::Number) = false contains(s::Number, n::Number) = (s == n) reinterpret{T<:Real}(::Type{T}, x::Real) = box(T,x)
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