File: fosc3d.py

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#!/usr/bin/env python

"""
the fOsc3D Mathematica function

References::
    [4] Mathematica guidebook
"""

from math import sin, exp


def fOsc3D(x, y):
    """
    fOsc3D Mathematica function:

    fOsc3D[x_,y_] := -4 Exp[(-x^2 - y^2)] + Sin[6 x] Sin[5 y]

    minimum?
    """

    func = -4.0 * exp(-x * x - y * y) + sin(6.0 * x) * sin(5.0 * y)
    penalty = 100.0 * y * y if y < 0 else 0
    return func + penalty