cbx.objectives.McCormick

class cbx.objectives.McCormick(f_extra=None)

Bases: cbx_objective

McCormick’s function

McCormick’s function is a multimodal function with two global minima at \((-0.54719,-1.54719)\) and \((1.54719,0.54719)\). The function is defined as

\[f(x,y) = \sin(x+y) + (x-y)^2 - 1.5x + 2.5y + 1\]

See McCormick’s function.

Examples

>>> import numpy as np
>>> from cbx.objectives import McCormick
>>> x = np.array([[1,2], [3,4], [5,6]])
>>> f = McCormick()
>>> f(x)
array([5.64112001, 8.1569866 , 8.50000979])

Visualization

(Source code, png, hires.png, pdf)