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math_libm.jl
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math_libm.jl
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_jl_libm = dlopen("libm")
macro _jl_libmfunc_1arg_float(T,f)
quote
($esc(f))(x::Float64) = ccall(dlsym(_jl_libm,$string(f)), Float64, (Float64,), x)
($esc(f))(x::Float32) = ccall(dlsym(_jl_libm,$string(f,"f")), Float32, (Float32,), x)
($esc(f))(x::Real) = ($f)(float(x))
@vectorize_1arg $T $f
end
end
macro _jl_libfdmfunc_1arg_float(T,f)
quote
($esc(f))(x::Float64) = ccall(dlsym(_jl_libfdm,$string(f)), Float64, (Float64,), x)
($esc(f))(x::Float32) = ccall(dlsym(_jl_libfdm,$string(f,"f")), Float32, (Float32,), x)
($esc(f))(x::Real) = ($f)(float(x))
@vectorize_1arg $T $f
end
end
macro _jl_libmfunc_1arg_int(T,f,name...)
if length(name)>0
fname = name[1]
else
fname = f
end
quote
($esc(fname))(x::Float64) = ccall(dlsym(_jl_libm,$string(f)), Int32, (Float64,), x)
($esc(fname))(x::Float32) = ccall(dlsym(_jl_libm,$string(f,"f")), Int32, (Float32,), x)
@vectorize_1arg $T $fname
end
end
macro _jl_libfdmfunc_2arg(T,f)
quote
($esc(f))(x::Float64, y::Float64) = ccall(dlsym(_jl_libfdm,$string(f)), Float64, (Float64, Float64,), x, y)
($esc(f))(x::Float32, y::Float32) = ccall(dlsym(_jl_libfdm,$string(f,"f")), Float32, (Float32, Float32), x, y)
@vectorize_2arg $T $f
end
end
@_jl_libfdmfunc_1arg_float Number cbrt
@_jl_libfdmfunc_1arg_float Number sin
@_jl_libfdmfunc_1arg_float Number cos
@_jl_libfdmfunc_1arg_float Number tan
@_jl_libfdmfunc_1arg_float Number sinh
@_jl_libfdmfunc_1arg_float Number cosh
@_jl_libfdmfunc_1arg_float Number tanh
@_jl_libfdmfunc_1arg_float Number asin
@_jl_libfdmfunc_1arg_float Number acos
@_jl_libfdmfunc_1arg_float Number atan
@_jl_libfdmfunc_1arg_float Number log
@_jl_libfdmfunc_1arg_float Number log2
@_jl_libfdmfunc_1arg_float Number log10
@_jl_libfdmfunc_1arg_float Real log1p
@_jl_libfdmfunc_1arg_float Real logb
@_jl_libfdmfunc_1arg_float Number exp
@_jl_libfdmfunc_1arg_float Real expm1
@_jl_libfdmfunc_1arg_float Number erf
@_jl_libfdmfunc_1arg_float Number erfc
@_jl_libfdmfunc_1arg_float Real ceil
@_jl_libfdmfunc_1arg_float Real floor
#@_jl_libfdmfunc_1arg_float Real rint
@_jl_libfdmfunc_1arg_float Number lgamma
@_jl_libmfunc_1arg_float Number sqrt
@_jl_libmfunc_1arg_float Number exp2
#@_jl_libmfunc_1arg_float Real nearbyint
@_jl_libmfunc_1arg_float Real trunc
@_jl_libmfunc_1arg_float Real round
#@_jl_libmfunc_1arg_int Real lrint
#@_jl_libmfunc_1arg_int Real lround iround
function ilogb(x::Float64)
if x==0 || isnan(x)
throw(DomainError())
end
ccall(dlsym(_jl_libm,:ilogb), Int32, (Float64,), x)
end
function ilogb(x::Float32)
if x==0 || isnan(x)
throw(DomainError())
end
ccall(dlsym(_jl_libm,:ilogbf), Int32, (Float32,), x)
end
@vectorize_1arg Real ilogb
@_jl_libmfunc_1arg_float Real significand
@_jl_libfdmfunc_2arg Number atan2
atan2(x::Real, y::Real) = atan2(float64(x), float64(y))
@_jl_libfdmfunc_2arg Number hypot
hypot(x::Float32, y::Float64) = hypot(float64(x), y)
hypot(x::Float64, y::Float32) = hypot(x, float64(y))
ipart(x) = trunc(x)
fpart(x) = x - trunc(x)
@vectorize_1arg Real ipart
@vectorize_1arg Real fpart
gamma(x::Float64) = ccall(dlsym(_jl_libfdm, :tgamma), Float64, (Float64,), x)
gamma(x::Float32) = float32(gamma(float64(x)))
gamma(x::Real) = gamma(float(x))
@vectorize_1arg Number gamma
lfact(x::Real) = (x<=1 ? zero(x) : lgamma(x+one(x)))
@vectorize_1arg Number lfact
max(x::Float64, y::Float64) = ccall(dlsym(_jl_libm, :fmax), Float64, (Float64,Float64), x, y)
max(x::Float32, y::Float32) = ccall(dlsym(_jl_libm, :fmaxf), Float32, (Float32,Float32), x, y)
@vectorize_2arg Real max
min(x::Float64, y::Float64) = ccall(dlsym(_jl_libm, :fmin), Float64, (Float64,Float64), x, y)
min(x::Float32, y::Float32) = ccall(dlsym(_jl_libm, :fminf), Float32, (Float32,Float32), x, y)
@vectorize_2arg Real min
ldexp(x::Float64,e::Int) = ccall(dlsym(_jl_libfdm, :ldexp), Float64, (Float64,Int32), x, int32(e))
ldexp(x::Float32,e::Int) = ccall(dlsym(_jl_libfdm, :ldexpf), Float32, (Float32,Int32), x, int32(e))
# TODO: vectorize does not do the right thing for these argument types
#@vectorize_2arg Real ldexp
begin
local exp::Array{Int32,1} = zeros(Int32,1)
global frexp
function frexp(x::Float64)
s = ccall(dlsym(_jl_libfdm,:frexp), Float64, (Float64, Ptr{Int32}), x, exp)
(s, int(exp[1]))
end
function frexp(x::Float32)
s = ccall(dlsym(_jl_libfdm,:frexpf), Float32, (Float32, Ptr{Int32}), x, exp)
(s, int(exp[1]))
end
function frexp(A::Array{Float64})
f = similar(A)
e = Array(Int, size(A))
for i = 1:numel(A)
f[i] = ccall(dlsym(_jl_libfdm,:frexp), Float64, (Float64, Ptr{Int32}), A[i], exp)
e[i] = exp[1]
end
return (f, e)
end
function frexp(A::Array{Float32})
f = similar(A)
e = Array(Int, size(A))
for i = 1:numel(A)
f[i] = ccall(dlsym(_jl_libfdm,:frexpf), Float32, (Float32, Ptr{Int32}), A[i], exp)
e[i] = exp[1]
end
return (f, e)
end
end
modf(x) = rem(x,one(x)), trunc(x)
^(x::Float64, y::Float64) = ccall(dlsym(_jl_libfdm, :pow), Float64, (Float64,Float64), x, y)
^(x::Float32, y::Float32) = ccall(dlsym(_jl_libfdm, :powf), Float32, (Float32,Float32), x, y)
^(x::Float64, y::Integer) = x^float64(y)
^(x::Float32, y::Integer) = x^float32(y)
# alias
const pow = ^