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# encoding=utf8
# pylint: disable=anomalous-backslash-in-string
"""Implementation of Schwefel function.
Date: 2018
Author: Lucija Brezočnik
License: MIT
Function: Schwefel function
Input domain:
The function can be defined on any input domain but it is usually
evaluated on the hypercube x_i ∈ [-500, 500], for all i = 1, 2,..., D.
Global minimum:
f(x*) = 0, at x* = (420.9687,...,420.9687)
LaTeX formats:
Inline: $f(\textbf{x}) = 418.9829d - \sum_{i=1}^{D} x_i sin(\sqrt{|x_i|})$
Equation: \begin{equation} f(\textbf{x}) =
418.9829d - \sum_{i=1}^{D} x_i
sin(\sqrt{|x_i|}) \end{equation}
Domain: $-500 \leq x_i \leq 500$
Reference: https://www.sfu.ca/~ssurjano/schwef.html
"""
import math
__all__ = ['Schwefel']
class Schwefel(object):
def __init__(self, Lower=-500, Upper=500):
self.Lower = Lower
self.Upper = Upper
@classmethod
def function(cls):
def evaluate(D, sol):
val = 0.0
val1 = 0.0
for i in range(D):
val1 += (sol[i] * math.sin(math.sqrt(abs(sol[i]))))
val = 418.9829 * D - val1
return val
return evaluate
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