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sincospi

Compute the sine and cosine of π*x, where x expressed in half-revolutions.

Base.Math.sincospi — Function
sincospi(x::T) where T -> Tuple{float(T),float(T)}

Simultaneously compute sinpi(x) and cospi(x) (the sine and cosine of π*x, where x is in radians), returning a tuple (sine, cosine).

Throw a DomainError if isinf(x), return a (T(NaN), T(NaN)) tuple if isnan(x).

Julia 1.6

This function requires Julia 1.6 or later.

See also: cispi, sincosd, sinpi.

source

Methods

julia> methods(sincospi, (Any,), [Base, Base.Math, Base.MathConstants, Base.MPFR])# 7 methods for generic function "sincospi" from Base.Math:
 [1] sincospi(x::BigFloat)
     @ mpfr.jl:955
 [2] sincospi(::Missing)
     @ math.jl:1548
 [3] sincospi(_x::T) where T<:Union{Float16, Float32, Float64}
     @ special/trig.jl:865
 [4] sincospi(x::AbstractFloat)
     @ special/trig.jl:941
 [5] sincospi(x::Integer)
     @ special/trig.jl:938
 [6] sincospi(x::Real)
     @ math.jl:1543
 [7] sincospi(z::Complex{T}) where T
     @ special/trig.jl:1014

Examples

Real Numbers

julia> sincospi(0)
(0.0, 1.0)

julia> sincospi(-0.0)
(-0.0, 1.0)

julia> sincospi(0.5)
(1.0, 0.0)

julia> sincospi(1)
(0.0, -1.0)

Complex

julia> sincospi(0+0im)
(0.0 + 0.0im, 1.0 - 0.0im)

Tips

See Also

Extended Inputs

Tech Notes

  • sincospi(::Real): by pure julia
  • sincospi(::BigFloat): by MPFR

Version History

Introduced in Julia v1.6 (2021)