# JuliaLang/julia

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 ## floating-point functions ## abs(x::Float64) = box(Float64,abs_float(unbox(Float64,x))) abs(x::Float32) = box(Float32,abs_float(unbox(Float32,x))) isnan(x::FloatingPoint) = (x != x) isnan(x::Real) = isnan(float(x)) isnan(x::Integer) = false isinf(x::FloatingPoint) = (abs(x) == Inf) isinf(x::Real) = isinf(float(x)) isinf(x::Integer) = false isfinite(x::FloatingPoint) = (x-x == 0) isfinite(x::Real) = isfinite(float(x)) isfinite(x::Integer) = true copysign(x::Float64, y::Float64) = box(Float64,copysign_float(unbox(Float64,x),unbox(Float64,y))) copysign(x::Float32, y::Float32) = box(Float32,copysign_float(unbox(Float32,x),unbox(Float32,y))) copysign(x::Float32, y::Real) = copysign(x, float32(y)) copysign(x::Float64, y::Real) = copysign(x, float64(y)) @vectorize_2arg Real copysign signbit(x::Float64) = signbit(reinterpret(Int64,x)) signbit(x::Float32) = signbit(reinterpret(Int32,x)) maxintfloat(::Type{Float64}) = 9007199254740992. maxintfloat(::Type{Float32}) = float32(16777216.) maxintfloat{T<:FloatingPoint}(x::T) = maxintfloat(T) maxintfloat() = maxintfloat(Float64) integer_valued(x::FloatingPoint) = (trunc(x)==x)&isfinite(x) sqrt(x::Real) = sqrt(float(x)) sin(x::Real) = sin(float(x)) cos(x::Real) = cos(float(x)) num2hex(x::Float32) = hex(box(Uint32,unbox(Float32,x)),8) num2hex(x::Float64) = hex(box(Uint64,unbox(Float64,x)),16) function hex2num(s::String) if length(s) <= 8 return box(Float32,unbox(Int32,parse_hex(Int32,s))) end return box(Float64,unbox(Int64,parse_hex(Int64,s))) end @vectorize_1arg Real iround @vectorize_1arg Real itrunc @vectorize_1arg Real ifloor @vectorize_1arg Real iceil @vectorize_1arg Number abs @vectorize_1arg Number abs2 @vectorize_1arg Number angle @vectorize_1arg Real isnan @vectorize_1arg Real isinf @vectorize_1arg Real isfinite # adapted from Matlab File Exchange roundsd: http://www.mathworks.com/matlabcentral/fileexchange/26212 # for round, og is the power of 10 relative to the decimal point # for signif, og is the absolute power of 10 # digits and base must be integers, x must be convertable to float function _signif_og(x, digits, base) if base == 10 10. ^ floor(log10(abs(x)) - digits + 1.) elseif base == 2 2. ^ floor(log2(abs(x)) - digits + 1.) else float(base) ^ floor(log2(abs(x))/log2(base) - digits + 1.) end end _round_og(digits, base) = float(base) ^ (- digits) function signif(x, digits::Integer, base::Integer) if digits < 0 throw(DomainError()) end og = _signif_og(float(x), digits, base) round(float(x)/og) * og end signif(x, digits) = signif(x, digits, 10) for f in (:round, :ceil, :floor, :trunc) @eval begin function (\$f)(x, digits::Integer, base::Integer) og = _round_og(digits, base) (\$f)(float(x) / og) * og end (\$f)(x, digits) = (\$f)(x, digits, 10) end end
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