soobench (version 1.9.18)

generate_branin_function: Generator for the Branin test function.

Description

This function is a 2D test function. The generator does not take any parameters. It is defined as

Usage

generate_branin_function()

Value

A soo_function.

Details

$$f(x) = \displaystyle\left(x_2 - \frac{5.1}{4\pi^2}x_1^2 + \frac{5}{\pi}x_1 - 6\right)^2 + 10\left(1 - \frac{1}{8\pi}\right)\cos(x_1) + 10$$

References

F. H. Branin. 1972. Widely convergent method for finding multiple solutions of simultaneous nonlinear equations. IBM J. Res. Dev. 16, 5 (September 1972), 504-522.

Examples

# NOT RUN {
f <- generate_branin_function()
plot(f, rank=TRUE)

# }