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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. //! # McCorminck test function //! //! Defined as //! //! `f(x_1, x_2) = sin(x_1 + x_2) + (x_1 - x_2)^2 - 1.5*x_1 + 2.5*x_2 + 1` //! //! where `x_1 \in [-1.5, 4]` and `x_2 \in [-3, 4]`. //! //! The global minimum is at `f(x_1, x_2) = f(-0.54719, -1.54719) = -1.913228`. use num::{Float, FromPrimitive}; /// McCorminck test function /// /// Defined as /// /// `f(x_1, x_2) = (x_1 + x_2).sin() + (x_1 - x_2)^2 - 1.5*x_1 + 2.5*x_2 + 1` /// /// where `x_1 \in [-1.5, 4]` and `x_2 \in [-3, 4]`. /// /// The global minimum is at `f(x_1, x_2) = f(-0.54719, -1.54719) = -1.913228`. pub fn mccorminck<T: Float + FromPrimitive>(param: &[T]) -> T { assert!(param.len() == 2); let (x1, x2) = (param[0], param[1]); (x1 + x2).sin() + (x1 - x2).powi(2) - T::from_f64(1.5).unwrap() * x1 + T::from_f64(2.5).unwrap() * x2 + T::from_f64(1.0).unwrap() } mod tests { #[test] fn test_mccorminck_optimum() { assert!( (::mccorminck(&[-0.54719_f32, -1.54719_f32]) + 1.9132228_f32).abs() < ::std::f32::EPSILON ); } #[test] #[should_panic] fn test_mccorminck_param_length() { ::mccorminck(&[0.0_f32, -1.0_f32, 0.1_f32]); } }