/usr/lib/python3/dist-packages/deap/benchmarks/gp.py is in python3-deap 1.0.2.post2-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 | # This file is part of DEAP.
#
# DEAP is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as
# published by the Free Software Foundation, either version 3 of
# the License, or (at your option) any later version.
#
# DEAP is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public
# License along with DEAP. If not, see <http://www.gnu.org/licenses/>.
from math import exp, sin, cos
def kotanchek(data):
"""Kotanchek benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [-1, 7]^2`
* - Function
- :math:`f(\mathbf{x}) = \\frac{e^{-(x_1 - 1)^2}}{3.2 + (x_2 - 2.5)^2}`
"""
return exp(-(data[0] - 1)**2) / (3.2 + (data[1] - 2.5)**2)
def salustowicz_1d(data):
"""Salustowicz benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`x \in [0, 10]`
* - Function
- :math:`f(x) = e^x x^3 \cos(x) \sin(x) (\cos(x) \sin^2(x) - 1)`
"""
return exp(-data[0]) * data[0]**3 * cos(data[0]) * sin(data[0]) * (cos(data[0]) * sin(data[0])**2 - 1)
def salustowicz_2d(data):
"""Salustowicz benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [0, 7]^2`
* - Function
- :math:`f(\mathbf{x}) = e^{x_1} x_1^3 \cos(x_1) \sin(x_1) (\cos(x_1) \sin^2(x_1) - 1) (x_2 -5)`
"""
return exp(-data[0]) * data[0]**3 * cos(data[0]) * sin(data[0]) * (cos(data[0]) * sin(data[0])**2 - 1) * (data[1] - 5)
def unwrapped_ball(data):
"""Unwrapped ball benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [-2, 8]^n`
* - Function
- :math:`f(\mathbf{x}) = \\frac{10}{5 + \sum_{i=1}^n (x_i - 3)^2}`
"""
return 10. / (5. + sum((d - 3)**2 for d in data))
def rational_polynomial(data):
"""Rational polynomial ball benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [0, 2]^3`
* - Function
- :math:`f(\mathbf{x}) = \\frac{30 * (x_1 - 1) (x_3 - 1)}{x_2^2 (x_1 - 10)}`
"""
return 30. * (data[0] - 1) * (data[2] - 1) / (data[1]**2 * (data[0] - 10))
def sin_cos(data):
"""Sine cosine benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [0, 6]^2`
* - Function
- :math:`f(\mathbf{x}) = 6\sin(x_1)\cos(x_2)`
"""
6 * sin(data[0]) * cos(data[1])
def ripple(data):
"""Ripple benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [-5, 5]^2`
* - Function
- :math:`f(\mathbf{x}) = (x_1 - 3) (x_2 - 3) + 2 \sin((x_1 - 4) (x_2 -4))`
"""
return (data[0] - 3) * (data[1] - 3) + 2 * sin((data[0] - 4) * (data[1] - 4))
def rational_polynomial2(data):
"""Rational polynomial benchmark function.
.. list-table::
:widths: 10 50
:stub-columns: 1
* - Range
- :math:`\mathbf{x} \in [0, 6]^2`
* - Function
- :math:`f(\mathbf{x}) = \\frac{(x_1 - 3)^4 + (x_2 - 3)^3 - (x_2 - 3)}{(x_2 - 2)^4 + 10}`
"""
return ((data[0] - 3)**4 + (data[1] - 3)**3 - (data[1] - 3)) / ((data[1] - 2)**4 + 10)
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