Add param C and D

Author: ufechner7

examples/create_flightpath.jl

@@ -1,12 +1,13 @@
 using ControlPlots
 
-function figure_eight_path(A, B, x0, y0, theta, num_points)
+function figure_eight_path(A, B, C, D, x0, y0, theta, num_points)
     t = range(0, 2π, length=num_points)
-    x = A .* sin.(t)
-    y = B .* sin.(t) .* cos.(t)
+    x = A * sin.(t)
+    y = B * sin.(t) .* cos.(t) .+ C .* cos.(t) .+ D .* cos.(2t)
     # Apply rotation
-    x_rot = x .* cos(theta) .- y .* sin(theta)
+    x_rot = x .* cos(theta) .- y .* sin(theta) 
     y_rot = x .* sin(theta) .+ y .* cos(theta)
+    y_rot = y_rot / (maximum(y_rot)/(B/2))
     # Apply translation
     x_final = x_rot .+ x0
     y_final = y_rot .+ y0
@@ -16,12 +17,14 @@ end
 # Example usage:
 A = 10.0      # width of the figure-eight
 B = 5.0       # height of the figure-eight
+C = 0.0       # size of right part of the figure-eight
+D = -1.0      # asymmetry factor
 x0 = 0.0      # center x-coordinate
 y0 = 0.0      # center y-coordinate
-theta = π/6   # rotation angle in radians
+theta = 0*π/6   # rotation angle in radians
 num_points = 200
 
-x_path, y_path = figure_eight_path(A, B, x0, y0, theta, num_points)
+x_path, y_path = figure_eight_path(A, B, C, D, x0, y0, theta, num_points)
 
 plt.figure("Figure-of-Eight Path")
 ax = plt.gca()