#!/usr/bin/env python
import numpy as np
from olympus.surfaces import AbstractSurface
[docs]class Levy(AbstractSurface):
def __init__(self, param_dim=2, noise=None):
"""
Args:
param_dim (int): Number of input dimensions. Default is 2.
noise (Noise): Noise object that injects noise into the evaluations of the surface. Default is None.
"""
AbstractSurface.__init__(**locals())
@property
def minima(self):
params = [0.55] * self.param_dim
value = self._run(params)
return [{'params': params, 'value': value}]
@property
def maxima(self):
return None
def _run(self, params):
params = np.array(params)
params = 20 * params - 10 # rescale onto [-10, 10]
w = 1. + ((params - 1.) / 4.)
result = np.sin(np.pi * w[0])**2 + ((w[-1]-1) ** 2) * (1 + np.sin(2 * np.pi * w[-1]) ** 2)
for i, x in enumerate(params):
if i+1 == len(params):
break
result += ((w[i]-1)**2) * (1 + 10 * np.sin(np.pi * w[i] + 1) ** 2)
if self.noise is None:
return result
else:
return self.noise(result)