Polygons

Polygons

Methods

SchwarzChristoffel.Polygons.Polygon — Type.
Polygon(x::Vector{Float64}, y::Vector{Float64})

A polygon defined by its vertices, which must be provided in counter-clockwise order.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0])
Polygon with 4 vertices at
             (-1.0,-1.0) (0.2,-1.0) (1.0,0.5) (-1.0,1.0)
             interior angles/π = [0.5, 0.656, 0.422, 0.422]
source
SchwarzChristoffel.Polygons.vertex — Function.
vertex(p::Polygon) -> Vector{Complex128}

Returns the vector of vertices of the polygon p, in complex form.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> vertex(p)
4-element Array{Complex{Float64},1}:
 -1.0-1.0im
  0.2-1.0im
  1.0+0.5im
 -1.0+1.0im
source
SchwarzChristoffel.Polygons.interiorangle — Function.
interiorangle(p::Polygon) -> Vector{Float64}

Returns the vector of interior angles (divided by $\pi$) of the polygon p.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> interiorangle(p)
4-element Array{Float64,1}:
 0.5
 0.655958
 0.422021
 0.422021
source
Base.length — Method.
length(p::Polygon) -> Integer

Returns the number of vertices of the polygon p.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> length(p)
4
source
Base.isinf — Method.
isinf(p::Polygon) -> Bool

Returns true if any vertex in polygon p is at infinity.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> isinf(p)
false
source
SchwarzChristoffel.Polygons.isinpoly — Function.
isinpoly(z::Complex128,p::Polygon) -> Bool

Returns true or false depending on whether z is inside or outside polygon p.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> isinpoly(0.0+0.0im,p)
true

julia> isinpoly(1.0+2.0im,p)
false
source
isinpoly(z::Complex128,p::Polygon,tol::Float64) -> Bool

Returns true if z is inside or within distance tol of polygon p.

Example

julia> p = Polygon([-1.0,0.2,1.0,-1.0],[-1.0,-1.0,0.5,1.0]);

julia> isinpoly(-1.01+0.0im,p)
false

julia> isinpoly(-1.01+0.0im,p,1e-2)
true
source
SchwarzChristoffel.Polygons.naca4 — Function.
naca4(cam,pos,t[;np=20][,Zc=0.0+0.0im][,len=1.0]) -> Vector{Complex128}

Generates the vertices of a NACA 4-digit airfoil of chord length 1. The relative camber is specified by cam, the position of maximum camber (as fraction of chord) by pos, and the relative thickness by t.

The optional parameter np specifies the number of points on the upper or lower surface. The optional parameter Zc specifies the mean position of the vertices (which is set to the origin by default). The optional parameter len specifies the chord length.

Example

julia> w = naca4(0.0,0.0,0.12);

julia> p = Polygon(w);
source

Index