// Copyright © 2024 Mikhail Hogrefe // // This file is part of Malachite. // // Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU // Lesser General Public License (LGPL) as published by the Free Software Foundation; either version // 3 of the License, or (at your option) any later version. See . use itertools::Itertools; use malachite_base::num::basic::traits::One; use malachite_base::num::basic::traits::Zero; use malachite_base::strings::ToDebugString; use malachite_nz::natural::Natural; use malachite_q::exhaustive::exhaustive_rationals_with_denominator_inclusive_range; use malachite_q::Rational; use std::str::FromStr; fn helper(d: &str, a: &str, b: &str, out: &str) { assert_eq!( exhaustive_rationals_with_denominator_inclusive_range( Natural::from_str(d).unwrap(), Rational::from_str(a).unwrap(), Rational::from_str(b).unwrap() ) .collect_vec() .to_debug_string(), out ); } #[test] fn test_exhaustive_rationals_with_denominator_inclusive_range() { helper("1", "1", "1", "[1]"); helper("2", "1", "1", "[]"); helper("3", "1", "1", "[]"); helper("4", "1", "1", "[]"); helper("5", "1", "1", "[]"); helper("6", "1", "1", "[]"); helper("1", "0", "1", "[0, 1]"); helper("2", "0", "1", "[1/2]"); helper("3", "0", "1", "[1/3, 2/3]"); helper("4", "0", "1", "[1/4, 3/4]"); helper("5", "0", "1", "[1/5, 2/5, 3/5, 4/5]"); helper("6", "0", "1", "[1/6, 5/6]"); helper("1", "0", "1/2", "[0]"); helper("2", "0", "1/2", "[1/2]"); helper("3", "0", "1/2", "[1/3]"); helper("4", "0", "1/2", "[1/4]"); helper("5", "0", "1/2", "[1/5, 2/5]"); helper("6", "0", "1/2", "[1/6]"); helper("1", "1/3", "1/2", "[]"); helper("2", "1/3", "1/2", "[1/2]"); helper("3", "1/3", "1/2", "[1/3]"); helper("4", "1/3", "1/2", "[]"); helper("5", "1/3", "1/2", "[2/5]"); helper("6", "1/3", "1/2", "[]"); helper("1", "-1/2", "-1/3", "[]"); helper("2", "-1/2", "-1/3", "[-1/2]"); helper("3", "-1/2", "-1/3", "[-1/3]"); helper("4", "-1/2", "-1/3", "[]"); helper("5", "-1/2", "-1/3", "[-2/5]"); helper("6", "-1/2", "-1/3", "[]"); helper("1", "-1/2", "1/3", "[0]"); helper("2", "-1/2", "1/3", "[-1/2]"); helper("3", "-1/2", "1/3", "[1/3, -1/3]"); helper("4", "-1/2", "1/3", "[1/4, -1/4]"); helper("5", "-1/2", "1/3", "[1/5, -1/5, -2/5]"); helper("6", "-1/2", "1/3", "[1/6, -1/6]"); // [e, π), roughly helper("1", "268876667/98914198", "245850922/78256779", "[3]"); helper("2", "268876667/98914198", "245850922/78256779", "[]"); helper("3", "268876667/98914198", "245850922/78256779", "[]"); helper("4", "268876667/98914198", "245850922/78256779", "[11/4]"); helper("5", "268876667/98914198", "245850922/78256779", "[14/5]"); helper("6", "268876667/98914198", "245850922/78256779", "[17/6]"); helper("7", "268876667/98914198", "245850922/78256779", "[20/7]"); helper( "8", "268876667/98914198", "245850922/78256779", "[23/8, 25/8]", ); helper( "9", "268876667/98914198", "245850922/78256779", "[25/9, 26/9, 28/9]", ); helper( "10", "268876667/98914198", "245850922/78256779", "[29/10, 31/10]", ); helper( "100", "268876667/98914198", "245850922/78256779", "[273/100, 277/100, 279/100, 281/100, 283/100, 287/100, 289/100, 291/100, 293/100, \ 297/100, 299/100, 301/100, 303/100, 307/100, 309/100, 311/100, 313/100]", ); } #[test] #[should_panic] fn exhaustive_rationals_with_denominator_inclusive_range_fail_1() { exhaustive_rationals_with_denominator_inclusive_range( Natural::ZERO, Rational::from_unsigneds(1u32, 3), Rational::from_unsigneds(1u32, 2), ); } #[test] #[should_panic] fn exhaustive_rationals_with_denominator_inclusive_range_fail_2() { exhaustive_rationals_with_denominator_inclusive_range( Natural::ONE, Rational::from_unsigneds(1u32, 2), Rational::from_unsigneds(1u32, 3), ); }