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// Copyright 2018 Stefan Kroboth // // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or // http://apache.org/licenses/LICENSE-2.0> or the MIT license <LICENSE-MIT or // http://opensource.org/licenses/MIT>, at your option. This file may not be // copied, modified, or distributed except according to those terms. //! # Bukin test function No. 6 //! //! Defined as //! //! `f(x_1, x_2) = 100*\sqrt{|x_2 - 0.01*x_1^2|} + 0.01 * |x_1 + 10|` //! //! where `x_1 \in [-15, -5]` and `x_2 \in [-3, 3]`. //! //! The global minimum is at `f(x_1, x_2) = f(-10, 1) = 0`. use num::{Float, FromPrimitive}; /// Bukin test function No. 6 /// /// Defined as /// /// `f(x_1, x_2) = 100*\sqrt{|x_2 - 0.01*x_1^2|} + 0.01 * |x_1 + 10|` /// /// where `x_1 \in [-15, -5]` and `x_2 \in [-3, 3]`. /// /// The global minimum is at `f(x_1, x_2) = f(-10, 1) = 0`. pub fn bukin_n6<T: Float + FromPrimitive>(param: &[T]) -> T { assert!(param.len() == 2); let (x1, x2) = (param[0], param[1]); T::from_f64(100.0).unwrap() * (x2 - T::from_f64(0.01).unwrap() * x1.powi(2)).abs().sqrt() + T::from_f64(0.01).unwrap() * (x1 + T::from_f64(10.0).unwrap()).abs() } mod tests { #[test] fn test_bukin_n6_optimum() { assert!((::bukin_n6(&[-10_f32, 1_f32])).abs() < ::std::f32::EPSILON); assert!((::bukin_n6(&[-10_f64, 1_f64])).abs() < ::std::f64::EPSILON); } #[test] #[should_panic] fn test_bukin_n6_param_length() { ::bukin_n6(&[0.0_f32, -1.0_f32, 0.1_f32]); } }