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sinc

Compute the normalized sinc(x) function, where x expressed in radians.

Returns:

\[\begin{cases} \frac{\sin(\pi x)}{\pi x}, & x \ne 0\\ 1, & x=0 \end{cases}\]

Base.Math.sinc — Function
sinc(x::T) where {T <: Number} -> float(T)

Compute normalized sinc function $\operatorname{sinc}(x) = \sin(\pi x) / (\pi x)$ if $x \neq 0$, and $1$ if $x = 0$.

Return a T(NaN) if isnan(x).

See also cosc, its derivative.

source

Methods

julia> methods(sinc, (Any,), [Base, Base.Math, Base.MathConstants, Base.MPFR])# 2 methods for generic function "sinc" from Base.Math:
 [1] sinc(x::Integer)
     @ special/trig.jl:1087
 [2] sinc(x::Number)
     @ special/trig.jl:1086

Examples

Real Numbers

julia> sinc(0)
1

julia> sinc(1.0)
0.0

Complex

julia> sinc(0+0im)
1.0 - 0.0im

Tips

See Also

Extended Inputs

Tech Notes

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

Version History

Introduced in Julia v1.0 (2018)