#![cfg(all(feature = "arbitrary", feature = "debug"))] macro_rules! gen_tests( ($module: ident, $scalar: ty) => { mod $module { use na::debug::RandomSDP; use na::dimension::{U4, Dynamic}; use na::{DMatrix, DVector, Matrix4x3, Vector4}; use rand::random; #[allow(unused_imports)] use core::helper::{RandScalar, RandComplex}; use std::cmp; quickcheck! { fn cholesky(n: usize) -> bool { let m = RandomSDP::new(Dynamic::new(n.max(1).min(50)), || random::<$scalar>().0).unwrap(); let l = m.clone().cholesky().unwrap().unpack(); relative_eq!(m, &l * l.conjugate_transpose(), epsilon = 1.0e-7) } fn cholesky_static(_m: RandomSDP) -> bool { let m = RandomSDP::new(U4, || random::<$scalar>().0).unwrap(); let chol = m.cholesky().unwrap(); let l = chol.unpack(); if !relative_eq!(m, &l * l.conjugate_transpose(), epsilon = 1.0e-7) { false } else { true } } fn cholesky_solve(n: usize, nb: usize) -> bool { let n = n.max(1).min(50); let m = RandomSDP::new(Dynamic::new(n), || random::<$scalar>().0).unwrap(); let nb = cmp::min(nb, 50); // To avoid slowing down the test too much. let chol = m.clone().cholesky().unwrap(); let b1 = DVector::<$scalar>::new_random(n).map(|e| e.0); let b2 = DMatrix::<$scalar>::new_random(n, nb).map(|e| e.0); let sol1 = chol.solve(&b1); let sol2 = chol.solve(&b2); relative_eq!(&m * &sol1, b1, epsilon = 1.0e-7) && relative_eq!(&m * &sol2, b2, epsilon = 1.0e-7) } fn cholesky_solve_static(_n: usize) -> bool { let m = RandomSDP::new(U4, || random::<$scalar>().0).unwrap(); let chol = m.clone().cholesky().unwrap(); let b1 = Vector4::<$scalar>::new_random().map(|e| e.0); let b2 = Matrix4x3::<$scalar>::new_random().map(|e| e.0); let sol1 = chol.solve(&b1); let sol2 = chol.solve(&b2); relative_eq!(m * sol1, b1, epsilon = 1.0e-7) && relative_eq!(m * sol2, b2, epsilon = 1.0e-7) } fn cholesky_inverse(n: usize) -> bool { let m = RandomSDP::new(Dynamic::new(n.max(1).min(50)), || random::<$scalar>().0).unwrap(); let m1 = m.clone().cholesky().unwrap().inverse(); let id1 = &m * &m1; let id2 = &m1 * &m; id1.is_identity(1.0e-7) && id2.is_identity(1.0e-7) } fn cholesky_inverse_static(_n: usize) -> bool { let m = RandomSDP::new(U4, || random::<$scalar>().0).unwrap(); let m1 = m.clone().cholesky().unwrap().inverse(); let id1 = &m * &m1; let id2 = &m1 * &m; id1.is_identity(1.0e-7) && id2.is_identity(1.0e-7) } } } } ); gen_tests!(complex, RandComplex); gen_tests!(f64, RandScalar);