// 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::arithmetic::traits::IsPowerOf2; use malachite_base::num::basic::traits::PrimeConstant; use malachite_base::rounding_modes::RoundingMode::{self, *}; use malachite_base::test_util::generators::{ unsigned_gen_var_11, unsigned_rounding_mode_pair_gen_var_4, }; use malachite_float::test_util::common::to_hex_string; use malachite_float::test_util::constants::prime_constant::prime_constant_prec_round_naive; use malachite_float::{ComparableFloat, ComparableFloatRef, Float}; use std::cmp::Ordering::{self, *}; use std::panic::catch_unwind; fn test_prime_constant_prec_helper(prec: u64, out: &str, out_hex: &str, out_o: Ordering) { let (x, o) = Float::prime_constant_prec(prec); assert!(x.is_valid()); assert_eq!(x.to_string(), out); assert_eq!(to_hex_string(&x), out_hex); assert_eq!(o, out_o); let (x_alt, o_alt) = prime_constant_prec_round_naive(prec, Nearest); assert_eq!(x, x_alt); assert_eq!(o, o_alt); } #[test] pub fn test_prime_constant_prec() { test_prime_constant_prec_helper(1, "0.5", "0x0.8#1", Greater); test_prime_constant_prec_helper(2, "0.4", "0x0.6#2", Less); test_prime_constant_prec_helper(3, "0.44", "0x0.7#3", Greater); test_prime_constant_prec_helper(4, "0.41", "0x0.68#4", Less); test_prime_constant_prec_helper(5, "0.42", "0x0.6c#5", Greater); test_prime_constant_prec_helper(6, "0.414", "0x0.6a#6", Less); test_prime_constant_prec_helper(7, "0.414", "0x0.6a#7", Less); test_prime_constant_prec_helper(8, "0.414", "0x0.6a0#8", Less); test_prime_constant_prec_helper(9, "0.415", "0x0.6a4#9", Greater); test_prime_constant_prec_helper(10, "0.4146", "0x0.6a2#10", Less); test_prime_constant_prec_helper( 100, "0.4146825098511116602481096221542", "0x0.6a28a20a08a208282282208088#100", Less, ); test_prime_constant_prec_helper( 1000, "0.414682509851111660248109622154307708365774238137916977868245414488640960619357334196290\ 048428475777939616159352082985957835749978453022009904120814650033958993701974119186285615\ 579237191637251488161071073428432480218016979856815134246794749243902778820311537783180662\ 98787003544718107300315282293658657", "0x0.6a28a20a08a20828228220808a28800220a00a08220828028a00200228828020820a08a00800228800208\ 028820208220808808028028220808a20020220220800a00008200820a08020828208a00200a20828008820200\ 808020208220208808800200800a00a28020008a20008a200002202008088208002208202080#1000", Less, ); test_prime_constant_prec_helper( 10000, "0.414682509851111660248109622154307708365774238137916977868245414488640960619357334196290\ 048428475777939616159352082985957835749978453022009904120814650033958993701974119186285615\ 579237191637251488161071073428432480218016979856815134246794749243902778820311537783180662\ 987870035447181073003152822936586571701195884345760580684835877525498698320011540191930758\ 099002319261468413919152574118369129168574279239129804341592424543430422903399908325112045\ 668292742611194732667211553722399175647987527658878910703815406904018048152558727250330913\ 032734465178315959501124916374515488312368223411699732976990859213965904304781712473399850\ 022855936162301792842610279636663239004692389139831027778036326093312778898964673169309518\ 310306063152926347489776338241054180226337674492907279938068989754912015273280509376794011\ 427472704319064395781618400649434291302477306540023894812147846692492936635719588061120657\ 051390501956020214967100891969377486235872143778145145772057385386205343716378192432613513\ 172804602223001006685864520195545148953810709046574934296166432665763774833905637940402631\ 576801946504697746229836623924610157737793410864303438788766145163542908821015516523230106\ 797290246886870760828326453371632716614992987127399459741555239537031562083871442168565303\ 189912375257157779026541835903342269582971374263275545243196592115378128694441070207946879\ 764496037081508369373832295654819400087481268863376301792472431388415929294658211923608901\ 402710138982797422281950231204740825160556996531760010125162932087538066645067994257503747\ 988951392973626720366328982170505846234832544143958403519197518756622565009818379834626553\ 617954708446358169530464486348037793106750286422766029143787907491013162528697477255180525\ 301688970187379440498919433856401585513390951795192326204312092377569597171283867789460769\ 396842845072133229690180683640002570495073917768933999215761139873608859874089589096776461\ 995923745390535138086006656259166023212941879359754829079532092146864715376576674216923592\ 356284657954731472882379615899071977783469111502062539802490350514979367013733212811256787\ 651076562739406500368100788692192060657019146542871834536027154909579465624259941136769107\ 561003973746479133595976239940200240349439391177366640902400434482715348474352654705232334\ 865757263289528822462280034190931946143020430007789481367871305250457767936834157491630698\ 107741376398506062111121345698764997552559136414698454192672485636202709453131509266585281\ 706706580881014762163488645479634465001692797445197175229384471918672226624328100132469141\ 109007889697011845498155181004138530396370327432831414575546500251524843825045622130807383\ 973351694821712447724540951485939349474765305310454105446321469155906341381357010374677903\ 488746578301462245594571327626904723478958729803396726212447661231362593184418074810567100\ 150303566417543158729492869454556673124380354806665894633517169712578312518114309438722159\ 398158466744490582994391095649028975452941714271570359608073520730264326067239780059666358\ 3765668592857275961081596601034186349684386", "0x0.6a28a20a08a20828228220808a28800220a00a08220828028a00200228828020820a08a00800228800208\ 028820208220808808028028220808a20020220220800a00008200820a08020828208a00200a20828008820200\ 808020208220208808800200800a00a28020008a20008a20000220200808820800220820208008828028200a00\ a08000228820808208000028020200820808008820a08008020000a20a08a20028200000000820808000200800\ 228820228200200a28820020020200208820220220008828828200800008228000008a00800a00808208200008\ 228008020020200020008228a00800820800028000a00000820208a20208028020008020800a28020028000a08\ a00808000200000220808000a20200028808208800a00000828220800208a08820020820008820020208800000\ 200008020220a08000020028000808800800200a20208228820228200a00808800200800a08a00020008820208\ 800020200820808020020008820a00000028020220008808008200220800008028000800000228008220020808\ 808000028a00200000028208220a00220028028000a00020800008000808a28000020200208028828200a00200\ a00800208820208200020028800208808020208200000828020008820000a00800228020008808000220a20a00\ 220000200000800a20828200000a08000820028200200028820008a00008000008020a00a00a00828028020808\ 000000200a00808200800020800800a00008220820000a00800208a20000028008200020208200008000a20a08\ 200820020020000a08800020200000228828008800200000008020800800208020028820208028800208220a00\ a00020020200008820028208200000020800220200808008000228800000800828000820800200800220000000\ 820820208a00208a08000020a20000a20028220000008208808020000000200028228a00800208808020800008\ a08000000220200820808200220a08828028000820000220020008000000820000220000808220800208200a00\ 800808028020200200800000a20208808000200820a08020028020820808200828208200808000008200000a00\ 008808020000000808000228020a08800020200200008000828008200a00a08020008800000a00028028020000\ 228808000820a00200020220800000028028220820208800820200220008008020000020800828000020200008\ 020800228200808220800000020008028008028000a00008000008000208000800020a00008828020200820808\ 828028008820a00220008000220800008808220220008220008008a00000008800000820800800800208a20000\ 820020208800a00200000008000a08000020008200800828808020820000020008220200200008028028820000\ 208800228800208008000008020808028000000220a00220008200000000800808200a20000200808000a00800\ 228008200020808808820208200208820808000220000220028020a00800a20000208000000208808020020a00\ 000028228000800a08020200000200208000208800208800808200220800820028000800008a00800020220008\ a08000020800208200828028a00000a20820020800200800820220000000020008008220a00208008000a00808\ 000028008220800028008220020208008820020a00200220008200020a008080002080000000#10000", Less, ); let pc_f32 = Float::prime_constant_prec(u64::from(f32::MANTISSA_DIGITS)).0; assert_eq!(pc_f32.to_string(), "0.41468251"); assert_eq!(to_hex_string(&pc_f32), "0x0.6a28a20#24"); assert_eq!(pc_f32, f32::PRIME_CONSTANT); let pc_f64 = Float::prime_constant_prec(u64::from(f64::MANTISSA_DIGITS)).0; assert_eq!(pc_f64.to_string(), "0.41468250985111166"); assert_eq!(to_hex_string(&pc_f64), "0x0.6a28a20a08a208#53"); assert_eq!(pc_f64, f64::PRIME_CONSTANT); } fn test_prime_constant_prec_round_helper( prec: u64, rm: RoundingMode, out: &str, out_hex: &str, out_o: Ordering, ) { let (x, o) = Float::prime_constant_prec_round(prec, rm); assert!(x.is_valid()); assert_eq!(x.to_string(), out); assert_eq!(to_hex_string(&x), out_hex); assert_eq!(o, out_o); let (x_alt, o_alt) = prime_constant_prec_round_naive(prec, rm); assert_eq!(x, x_alt); assert_eq!(o, o_alt); } #[test] pub fn test_prime_constant_prec_round() { test_prime_constant_prec_round_helper(1, Floor, "0.2", "0x0.4#1", Less); test_prime_constant_prec_round_helper(1, Ceiling, "0.5", "0x0.8#1", Greater); test_prime_constant_prec_round_helper(1, Down, "0.2", "0x0.4#1", Less); test_prime_constant_prec_round_helper(1, Up, "0.5", "0x0.8#1", Greater); test_prime_constant_prec_round_helper(1, Nearest, "0.5", "0x0.8#1", Greater); test_prime_constant_prec_round_helper(2, Floor, "0.4", "0x0.6#2", Less); test_prime_constant_prec_round_helper(2, Ceiling, "0.5", "0x0.8#2", Greater); test_prime_constant_prec_round_helper(2, Down, "0.4", "0x0.6#2", Less); test_prime_constant_prec_round_helper(2, Up, "0.5", "0x0.8#2", Greater); test_prime_constant_prec_round_helper(2, Nearest, "0.4", "0x0.6#2", Less); test_prime_constant_prec_round_helper(3, Floor, "0.38", "0x0.6#3", Less); test_prime_constant_prec_round_helper(3, Ceiling, "0.44", "0x0.7#3", Greater); test_prime_constant_prec_round_helper(3, Down, "0.38", "0x0.6#3", Less); test_prime_constant_prec_round_helper(3, Up, "0.44", "0x0.7#3", Greater); test_prime_constant_prec_round_helper(3, Nearest, "0.44", "0x0.7#3", Greater); test_prime_constant_prec_round_helper(4, Floor, "0.41", "0x0.68#4", Less); test_prime_constant_prec_round_helper(4, Ceiling, "0.44", "0x0.70#4", Greater); test_prime_constant_prec_round_helper(4, Down, "0.41", "0x0.68#4", Less); test_prime_constant_prec_round_helper(4, Up, "0.44", "0x0.70#4", Greater); test_prime_constant_prec_round_helper(4, Nearest, "0.41", "0x0.68#4", Less); test_prime_constant_prec_round_helper(5, Floor, "0.41", "0x0.68#5", Less); test_prime_constant_prec_round_helper(5, Ceiling, "0.42", "0x0.6c#5", Greater); test_prime_constant_prec_round_helper(5, Down, "0.41", "0x0.68#5", Less); test_prime_constant_prec_round_helper(5, Up, "0.42", "0x0.6c#5", Greater); test_prime_constant_prec_round_helper(5, Nearest, "0.42", "0x0.6c#5", Greater); test_prime_constant_prec_round_helper(6, Floor, "0.414", "0x0.6a#6", Less); test_prime_constant_prec_round_helper(6, Ceiling, "0.42", "0x0.6c#6", Greater); test_prime_constant_prec_round_helper(6, Down, "0.414", "0x0.6a#6", Less); test_prime_constant_prec_round_helper(6, Up, "0.42", "0x0.6c#6", Greater); test_prime_constant_prec_round_helper(6, Nearest, "0.414", "0x0.6a#6", Less); test_prime_constant_prec_round_helper(7, Floor, "0.414", "0x0.6a#7", Less); test_prime_constant_prec_round_helper(7, Ceiling, "0.418", "0x0.6b#7", Greater); test_prime_constant_prec_round_helper(7, Down, "0.414", "0x0.6a#7", Less); test_prime_constant_prec_round_helper(7, Up, "0.418", "0x0.6b#7", Greater); test_prime_constant_prec_round_helper(7, Nearest, "0.414", "0x0.6a#7", Less); test_prime_constant_prec_round_helper(8, Floor, "0.414", "0x0.6a0#8", Less); test_prime_constant_prec_round_helper(8, Ceiling, "0.416", "0x0.6a8#8", Greater); test_prime_constant_prec_round_helper(8, Down, "0.414", "0x0.6a0#8", Less); test_prime_constant_prec_round_helper(8, Up, "0.416", "0x0.6a8#8", Greater); test_prime_constant_prec_round_helper(8, Nearest, "0.414", "0x0.6a0#8", Less); test_prime_constant_prec_round_helper(9, Floor, "0.414", "0x0.6a0#9", Less); test_prime_constant_prec_round_helper(9, Ceiling, "0.415", "0x0.6a4#9", Greater); test_prime_constant_prec_round_helper(9, Down, "0.414", "0x0.6a0#9", Less); test_prime_constant_prec_round_helper(9, Up, "0.415", "0x0.6a4#9", Greater); test_prime_constant_prec_round_helper(9, Nearest, "0.415", "0x0.6a4#9", Greater); test_prime_constant_prec_round_helper(10, Floor, "0.4146", "0x0.6a2#10", Less); test_prime_constant_prec_round_helper(10, Ceiling, "0.415", "0x0.6a4#10", Greater); test_prime_constant_prec_round_helper(10, Down, "0.4146", "0x0.6a2#10", Less); test_prime_constant_prec_round_helper(10, Up, "0.415", "0x0.6a4#10", Greater); test_prime_constant_prec_round_helper(10, Nearest, "0.4146", "0x0.6a2#10", Less); test_prime_constant_prec_round_helper( 100, Floor, "0.4146825098511116602481096221542", "0x0.6a28a20a08a208282282208088#100", Less, ); test_prime_constant_prec_round_helper( 100, Ceiling, "0.4146825098511116602481096221546", "0x0.6a28a20a08a208282282208090#100", Greater, ); test_prime_constant_prec_round_helper( 100, Down, "0.4146825098511116602481096221542", "0x0.6a28a20a08a208282282208088#100", Less, ); test_prime_constant_prec_round_helper( 100, Up, "0.4146825098511116602481096221546", "0x0.6a28a20a08a208282282208090#100", Greater, ); test_prime_constant_prec_round_helper( 100, Nearest, "0.4146825098511116602481096221542", "0x0.6a28a20a08a208282282208088#100", Less, ); } #[test] #[should_panic] fn prime_constant_prec_round_fail_1() { Float::prime_constant_prec_round(0, Floor); } #[test] #[should_panic] fn prime_constant_prec_round_fail_2() { Float::prime_constant_prec_round(1, Exact); } #[test] #[should_panic] fn prime_constant_prec_round_fail_3() { Float::prime_constant_prec_round(1000, Exact); } #[test] fn prime_constant_prec_properties() { unsigned_gen_var_11().test_properties(|prec| { let (pc, o) = Float::prime_constant_prec(prec); assert!(pc.is_valid()); assert_eq!(pc.get_prec(), Some(prec)); assert_ne!(o, Equal); if o == Less { let (pc_alt, o_alt) = Float::prime_constant_prec_round(prec, Ceiling); let mut next_upper = pc.clone(); next_upper.increment(); if !next_upper.is_power_of_2() { assert_eq!(ComparableFloat(pc_alt), ComparableFloat(next_upper)); assert_eq!(o_alt, Greater); } } else if !pc.is_power_of_2() { let (pc_alt, o_alt) = Float::prime_constant_prec_round(prec, Floor); let mut next_lower = pc.clone(); next_lower.decrement(); assert_eq!(ComparableFloat(pc_alt), ComparableFloat(next_lower)); assert_eq!(o_alt, Less); } let (pc_alt, o_alt) = Float::prime_constant_prec_round(prec, Nearest); assert_eq!(ComparableFloatRef(&pc_alt), ComparableFloatRef(&pc)); assert_eq!(o_alt, o); let (pc_alt, o_alt) = prime_constant_prec_round_naive(prec, Nearest); assert_eq!(pc, pc_alt); assert_eq!(o, o_alt); }); } #[test] fn prime_constant_prec_round_properties() { unsigned_rounding_mode_pair_gen_var_4().test_properties(|(prec, rm)| { let (pc, o) = Float::prime_constant_prec_round(prec, rm); assert!(pc.is_valid()); assert_eq!(pc.get_prec(), Some(prec)); assert_ne!(o, Equal); if o == Less { let (pc_alt, o_alt) = Float::prime_constant_prec_round(prec, Ceiling); let mut next_upper = pc.clone(); next_upper.increment(); if !next_upper.is_power_of_2() { assert_eq!(ComparableFloat(pc_alt), ComparableFloat(next_upper)); assert_eq!(o_alt, Greater); } } else if !pc.is_power_of_2() { let (pc_alt, o_alt) = Float::prime_constant_prec_round(prec, Floor); let mut next_lower = pc.clone(); next_lower.decrement(); assert_eq!(ComparableFloat(pc_alt), ComparableFloat(next_lower)); assert_eq!(o_alt, Less); } let (pc_alt, o_alt) = prime_constant_prec_round_naive(prec, rm); assert_eq!(pc, pc_alt); assert_eq!(o, o_alt); }); unsigned_gen_var_11().test_properties(|prec| { assert_panic!(Float::prime_constant_prec_round(prec, Exact)); }); }