File:Simionescu's function.svg
Summary
| Description |
English: Simionescu's test objective function: |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development | |
| Source code | Python codefrom numpy import cos, arctan
import numpy as np
import matplotlib.pyplot as plt
plt.rcParams["font.size"] = 10
plt.rcParams["mathtext.fontset"] = "cm"
x1, x2 = np.mgrid[-1.25:1.25:101j, -1.25:1.25:101j]
fun = x1*x2
cons = x1**2 + x2**2 - (1 + 0.2*cos(8*arctan(x1/x2)))**2
fun[cons > 0.01] = np.nan
levels = np.linspace(-1, 1, 30)
plt.contour(x1, x2, fun, levels, cmap="seismic")
plt.contour(x1, x2, cons, [0], colors="black")
plt.axis("image")
plt.xlabel(r"$x$", fontsize=14)
plt.ylabel(r"$y$", fontsize=14)
plt.savefig("simionescu's function.svg", bbox_inches="tight")
plt.show()
|
![{\displaystyle {\begin{aligned}&{\text{minimize }}f(x,y)=0.1xy\\&{\text{subjected to: }}x^{2}+y^{2}\leq \left[r_{T}+r_{S}\cos \left(n\arctan {\frac {x}{y}}\right)\right]^{2}\\&{\text{where: }}r_{T}=1,r_{S}=0.2{\text{ and }}n=8\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3a531c1d53e68ed7162f537e57e31a97fef6a914)
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