2D Rotation by Angle

Angle2d is a type that internally has an angle as a parameter, and can be thought of as a lazy version of RotMatrix{2}.

Angle2d

example

julia> t = 1.2  # rotation angle1.2
julia> m = [cos(t) -sin(t);sin(t) cos(t)]2×2 Matrix{Float64}:
 0.362358  -0.932039
 0.932039   0.362358
julia> Angle2d(t)  # construct from matrix2×2 Angle2d{Float64} with indices SOneTo(2)×SOneTo(2)(1.2):
 0.362358  -0.932039
 0.932039   0.362358
julia> RotMatrix{2}(t)2×2 RotMatrix2{Float64} with indices SOneTo(2)×SOneTo(2):
 0.362358  -0.932039
 0.932039   0.362358
julia> dump(Angle2d(t))Angle2d{Float64}
  theta: Float64 1.2
julia> dump(RotMatrix{2}(t))RotMatrix2{Float64}
  mat: StaticArraysCore.SMatrix{2, 2, Float64, 4}
    data: NTuple{4, Float64}
      1: Float64 0.3623577544766736
      2: Float64 0.9320390859672263
      3: Float64 -0.9320390859672263
      4: Float64 0.3623577544766736