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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. //! # Matyas test function //! //! Defined as //! //! `f(x_1, x_2) = 0.26 * (x_1^2 + x_2^2) - 0.48 * x_1 * x_2` //! //! where `x_i \in [-10, 10]`. //! //! The global minimum is at `f(x_1, x_2) = f(0, 0) = 0`. use num::{Float, FromPrimitive}; /// Matyas test function /// /// Defined as /// /// `f(x_1, x_2) = 0.26 * (x_1^2 + x_2^2) - 0.48 * x_1 * x_2` /// /// where `x_i \in [-10, 10]`. /// /// The global minimum is at `f(x_1, x_2) = f(0, 0) = 0`. pub fn matyas<T: Float + FromPrimitive>(param: &[T]) -> T { assert!(param.len() == 2); let (x1, x2) = (param[0], param[1]); T::from_f64(0.26).unwrap() * (x1.powi(2) + x2.powi(2)) - T::from_f64(0.48).unwrap() * x1 * x2 } mod tests { #[test] fn test_matyas_optimum() { assert!((::matyas(&[0_f32, 0_f32])).abs() < ::std::f32::EPSILON); assert!((::matyas(&[0_f64, 0_f64])).abs() < ::std::f64::EPSILON); } #[test] #[should_panic] fn test_matyas_param_length() { ::matyas(&[0.0_f32, -1.0_f32, 0.1_f32]); } }