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#!/usr/bin/env python
"""
simple sine-based multi-minima functions
References::
None.
"""
from numpy import absolute as abs
from numpy import asarray
from numpy import sin, pi
def wavy1(x):
"""
Wave function #1: a simple multi-minima function
minimum is f(x)=0.0 at xi=0.0
"""
x = asarray(x)
return abs(x + 3.0 * sin(x + pi) + pi)
def wavy2(x):
"""
Wave function #2: a simple multi-minima function
minimum is f(x)=0.0 at xi=0.0
"""
x = asarray(x)
return 4 * sin(x) + sin(4 * x) + sin(8 * x) + sin(16 * x) + sin(32 * x) + sin(64 * x)
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