// 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 malachite_base::num::basic::traits::{Infinity, NegativeInfinity}; use malachite_base::num::conversion::traits::ExactFrom; use malachite_base::num::float::NiceFloat; use malachite_base::test_util::generators::primitive_float_pair_gen; use malachite_float::test_util::common::{parse_hex_string, ORDERED_FLOAT_HEX_STRINGS}; use malachite_float::test_util::generators::{ float_gen, float_pair_gen, float_pair_gen_var_1, float_triple_gen, }; use malachite_float::{ComparableFloat, ComparableFloatRef, Float}; use malachite_q::Rational; use std::cmp::Ordering::{self, *}; const fn encode(oo: Option) -> u8 { match oo { None => 9, Some(Less) => 0, Some(Equal) => 1, Some(Greater) => 2, } } #[rustfmt::skip] const MATRIX: [[u8; 21]; 21] = [ [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], // -0x1.0#100 [2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], // -0x1.0#2 [2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], // -0x1.0#1 [2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], // -0.0 [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], // NaN [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], // 0.0 [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0], // 0x1.0#1 [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0], // 0x1.0#2 [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0], // 0x1.0#100 [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1], ]; #[test] fn test_partial_cmp() { for (sx, row) in ORDERED_FLOAT_HEX_STRINGS.iter().zip(MATRIX.iter()) { let x = parse_hex_string(sx); for (sy, &e) in ORDERED_FLOAT_HEX_STRINGS.iter().zip(row.iter()) { let y = parse_hex_string(sy); assert_eq!(encode(x.partial_cmp(&y)), e); assert_eq!( encode(rug::Float::exact_from(&x).partial_cmp(&rug::Float::exact_from(&y))), e ); } } } #[test] fn partial_cmp_properties() { float_pair_gen().test_properties(|(x, y)| { let ord = x.partial_cmp(&y); assert_eq!(y.partial_cmp(&x).map(Ordering::reverse), ord); assert_eq!(x == y, x.partial_cmp(&y) == Some(Equal)); assert_eq!((-&y).partial_cmp(&-&x), ord); assert_eq!( rug::Float::exact_from(&x).partial_cmp(&rug::Float::exact_from(&y)), ord ); if !x.is_zero() || !y.is_zero() { if let Some(ord) = ord { if ord != Equal { assert_eq!(ComparableFloat(x).cmp(&ComparableFloat(y)), ord); } } } }); float_gen().test_properties(|x| { if !x.is_nan() { assert_eq!(x.partial_cmp(&x), Some(Equal)); assert!(x <= Float::INFINITY); assert!(x >= Float::NEGATIVE_INFINITY); } }); float_triple_gen().test_properties(|(x, y, z)| { if x < y && y < z { assert!(x < z); } else if x > y && y > z { assert!(x > z); } }); primitive_float_pair_gen::().test_properties(|(x, y)| { assert_eq!( Float::from(x).partial_cmp(&Float::from(y)), x.partial_cmp(&y) ); }); float_pair_gen_var_1().test_properties(|(x, y)| { assert_eq!( Some(Rational::exact_from(&x).cmp(&Rational::exact_from(&y))), x.partial_cmp(&y) ); }); } fn read_hex_strings(strings: &[&str]) -> Vec { strings.iter().map(|s| parse_hex_string(s)).collect() } #[test] fn test_comparable_float_cmp() { let xs = read_hex_strings(&ORDERED_FLOAT_HEX_STRINGS); let ys = read_hex_strings(&ORDERED_FLOAT_HEX_STRINGS); for (i, x) in xs.iter().enumerate() { for (j, y) in ys.iter().enumerate() { assert_eq!( i.cmp(&j), ComparableFloat(x.clone()).cmp(&ComparableFloat(y.clone())) ); assert_eq!(i.cmp(&j), ComparableFloatRef(x).cmp(&ComparableFloatRef(y))); } } } #[test] fn comparable_float_cmp_properties() { float_pair_gen().test_properties(|(x, y)| { let cx = ComparableFloatRef(&x); let cy = ComparableFloatRef(&y); let ord = cx.cmp(&cy); assert_eq!(cy.cmp(&cx).reverse(), ord); assert_eq!(cx == cy, cx.cmp(&cy) == Equal); assert_eq!( ComparableFloat(x.clone()).cmp(&ComparableFloat(y.clone())), ord ); assert_eq!((ComparableFloat(-y)).cmp(&ComparableFloat(-x)), ord); }); float_gen().test_properties(|x| { let cx = ComparableFloatRef(&x); assert_eq!(cx.cmp(&cx), Equal); assert!(cx <= ComparableFloatRef(&Float::INFINITY)); assert!(cx >= ComparableFloatRef(&Float::NEGATIVE_INFINITY)); }); float_triple_gen().test_properties(|(x, y, z)| { let cx = ComparableFloatRef(&x); let cy = ComparableFloatRef(&y); let cz = ComparableFloatRef(&z); if cx < cy && cy < cz { assert!(cx < cz); } else if cx > cy && cy > cz { assert!(cx > cz); } }); primitive_float_pair_gen::().test_properties(|(x, y)| { assert_eq!( ComparableFloat(Float::from(x)).cmp(&ComparableFloat(Float::from(y))), NiceFloat(x).cmp(&NiceFloat(y)) ); }); }