use malachite_base::num::arithmetic::traits::IsPowerOf2;
use malachite_base::num::basic::traits::Log102;
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::{
rug_round_try_from_rounding_mode, test_constant, to_hex_string,
};
use malachite_float::test_util::constants::log_10_2::rug_log_10_2_prec_round;
use malachite_float::{ComparableFloat, ComparableFloatRef, Float};
use std::cmp::Ordering::{self, *};
use std::panic::catch_unwind;
fn test_log_10_2_prec_helper(prec: u64, out: &str, out_hex: &str, out_o: Ordering) {
let (x, o) = Float::log_10_2_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) = Float::log_base_10_prec(Float::from(2), prec);
assert_eq!(ComparableFloatRef(&x_alt), ComparableFloatRef(&x));
assert_eq!(o_alt, o);
let (rug_x, rug_o) =
rug_log_10_2_prec_round(prec, rug_round_try_from_rounding_mode(Nearest).unwrap());
assert_eq!(
ComparableFloatRef(&Float::from(&rug_x)),
ComparableFloatRef(&x)
);
assert_eq!(rug_o, o);
}
#[test]
pub fn test_log_10_2_prec() {
test_log_10_2_prec_helper(1, "0.2", "0x0.4#1", Less);
test_log_10_2_prec_helper(2, "0.2", "0x0.4#2", Less);
test_log_10_2_prec_helper(3, "0.3", "0x0.5#3", Greater);
test_log_10_2_prec_helper(4, "0.31", "0x0.50#4", Greater);
test_log_10_2_prec_helper(5, "0.3", "0x0.4c#5", Less);
test_log_10_2_prec_helper(6, "0.305", "0x0.4e#6", Greater);
test_log_10_2_prec_helper(7, "0.301", "0x0.4d#7", Less);
test_log_10_2_prec_helper(8, "0.301", "0x0.4d0#8", Less);
test_log_10_2_prec_helper(9, "0.301", "0x0.4d0#9", Less);
test_log_10_2_prec_helper(10, "0.3013", "0x0.4d2#10", Greater);
test_log_10_2_prec_helper(
100,
"0.3010299956639811952137388947246",
"0x0.4d104d427de7fbcc47c4acd608#100",
Greater,
);
test_log_10_2_prec_helper(
1000,
"0.301029995663981195213738894724493026768189881462108541310427461127108189274424509486927\
252118186172040684477191430995379094767881133523505999692333704695575064502964254193402661\
819734311602943501183902898178582617154439531861929046353884699520239310849612462540400263\
31259462147884584731828267268398233",
"0x0.4d104d427de7fbcc47c4acd605be48bc13569862a1e8f9a4c52f37935be631e5943516c0c8cfd5e84f2e5\
e399a38de8948a39a4ad8c5c90f2c5a93fa92a969662fc1bef7012aae5e4e78e8c862030172e9361397ef38817\
a75c8894d8ac96cee0246bf52cf58a9ec058419e2ca0d5c10b51b3dc09e7a647def7518bbe48#1000",
Greater,
);
test_log_10_2_prec_helper(
10000,
"0.301029995663981195213738894724493026768189881462108541310427461127108189274424509486927\
252118186172040684477191430995379094767881133523505999692333704695575064502964254193402661\
819734311602943501183902898178582617154439531861929046353884699520239310849612462540400263\
312594621478845847318282672683982326196542793507631317548350927138964946917785768918050790\
007599548087815459714585031964877626122492290829118190951498997171619860477676500067820517\
912557328628668342000402920509837084572224895494297562149707244659708613689609221909482761\
214391496528235167826492314804027746243244163311538738259303883039380633216130239051880582\
131915685461692905301505131926985378488418718320065753569468392971742132010905896890850585\
624640987218396876648539856235161277302638927878260849836681030308431415560813943617674548\
856663424538123733932422469594349060212044504296827460688478546115684768410643797950046596\
991774565754086401846407945652954434107740829399974540073721701680194889055485691069400375\
411689963415759297218064430381028152033923880856331986854539873935485606578428968489826139\
442608466327829526028766212762304341922026289121120836126005583686254899999092794878431974\
744338886862911771315741314322282416907299585472526615701683786532484377248450149423107098\
105754764423911116694691455465315821308754571485915526406466945939738727466262648155637313\
532726933795969680246236373580370170278652787138236826674951982888462336755746230644779336\
477698037147068313325888187313121386474029603878418357067784098967293223092283636409020167\
703716182733692845408721808014477176262550695347616088679696249376657532044344868795328929\
392535511146831725226726902757448067802376817553483740570438218122322533316789620797559903\
229305975967472086664842304173923792599862534979783093955793905853103797525214306877880559\
061734489219110902602582677330757355925788842287779292103675340786349085530479489195412741\
918499599847200289651248252290074764446323588420890650395495995855849103511504849272182404\
980745441559971498947788737868250072879592234300982294231924966949141757391254082349655397\
653341386972420309417367538419661786709957833897027278700463997487224093475301726282776037\
837004173822886358937792496986238232587518046329823253854659034188442660722774644793627247\
990376912933346554600009355169558242485853202891805973612538480182323344238210359767882413\
103921664132636490923692956109730629584223001270161789239083304966085658078167369231856383\
258483946220865233022880717918719236248933318301507731107074568912179691465936726313589320\
801125976235437730408406869123712855981276022342800437948287640512505691330382612640301053\
054427352245875538942628240351420297781857455215238445695936344703460370007508830173546384\
743853762640381345410143839715861887851093305552261243889568585931454598178939878809581309\
770329441845499753967558468852151992898007843947785274994069368329626033764696951428191654\
710113484828098115990389170163226019800333588334384534738283702567802318386186513050622079\
61406496165171974419833626052512494354623335",
"0x0.4d104d427de7fbcc47c4acd605be48bc13569862a1e8f9a4c52f37935be631e5943516c0c8cfd5e84f2e5\
e399a38de8948a39a4ad8c5c90f2c5a93fa92a969662fc1bef7012aae5e4e78e8c862030172e9361397ef38817\
a75c8894d8ac96cee0246bf52cf58a9ec058419e2ca0d5c10b51b3dc09e7a647def7518bbe47c46555ffc0050a\
d6c33aea8d285fba1ab2d6e288c95f6af2aa4d14352a8f0a1dcfc706500669070af1e4f89da654523cdb17ab2f\
53e2c74acdee71d94b39a13dc3affbf6fd7d6cc79ca604fa769af1756432207a86596e7286174adf1e94f7580d\
7f68fd3a6f0499133d03cf3af715e4eae6d1ad0dd66a7db0a257c5f98d9b512bd96eed3363423e0ecbfb271253\
f1ef918a66c0ceac64f57a4136ea4bb27771cf7873763a9faa1f6d1850941788999ccb7965e1601ead41f9377d\
ccb6eab6a4940db2b6143dbfe8050b03a8295590fcf5b180ece39ebb8cb9b2d398cf47e27b6d182c13dc84b48b\
a461ff46aa4a31a1e97d0929b3b1f6bcc919fb23c94998246320f913d90c2d068cdf176038ccc5f861bd05d7cc\
d4dd34581c6a5bec508322251648a3c316ad321512c83048a2f1ed7e0a0d45ce80c136721627798f7d7d4f8d90\
eaaa8030664481805066b2eccb791542b81035497287fe1a461661976461b18c5c0275752bf60bc5cabd055ce5\
1cf436b4b63f6d56993e58e7786dc8e233838b56844e22640802f58710422fbecf0ede15a0cba47a3fbec14792\
904f82e1978e349094a4ecc0575b27a13bf8fd000a706b5d47e9466721f1e293425ad54a77d7c48d8a24f9d83b\
c4531148dcebc35713370dc96259c2de21cc5634af7c61a21ec5f909e1740a6b352622a62a2244cde2a9627fca\
c4e0b168814421493e5d692826c6ebb6309ad985ef27c2fdf02cab4e4f937fef75622e1e19802ed79b40f823e4\
71bbf5e837288b8eeac5bbe3608fdbfe072c908e4d3455da552ac4df2bf55be63f43c05ddc8a4f8de18c48a3ec\
fad3389c6942332c438dffa1b1d7ee579e93f3be1e11fde04c9d90ad1e8ae0400626167d5c7997e38e28824b33\
2c66330d80b24031a7bdd328113a16880cb6611680f647b2b2eca1c827ba818acf134e709e5f77bef9f17a4147\
0010cfa425b1e8820dda774c3884388e2621770dab07de8049deb57e90ba51835b80ecaf08bacef9459cbac729\
2eba5d1665f777dfe3f5c8a87b23c30723223cd99a356aa7e83ee88b334e785fdc8a047cc83b4fc56e44ada9d0\
5519bde829901cf13601246524bfd72d99575195065f2d63feade6422b34275e8a11b31f5b247aaf078ca46458\
af573448e76e194c4eb866bec8c16e77eead315b887054b00d3e2164b34bb3eff5a0a547418faebfe76587b359\
89bea7f12c8c2d450fad9c767744c60116b47918b888cb6c591f3f34a02eb8d34fd081001e4c475351b19b56c9\
f06a67da6ae7fc481c2a728ea7999b60e3c20c8123dab4d5f7e80b75ae7b6bc00b65ee5055ab4c9a23ab846193\
2bacbeb065dc78d5374210e343393444f2679c6ccae15ce9461f772ae739afbe00084f6e86a16dea8b3fb1a1b0\
09c59da6be8bcafe8da2d64d02b9135b47fafd65826937b36c3ea02441e565168f796b3679426b7aa3e887b9a3\
601d6bb9e422125a57d896aecbc68b6fb8254b72cd9f173970ec596ddb070f189e3e93723aa54a7a1f2bf8be51\
98b26a78d77802877d0a0ed67338bd6d51e110f100256197424b903dff9fe8bb460dff5addc8#10000",
Greater,
);
let log_10_2_f32 = Float::log_10_2_prec(u64::from(f32::MANTISSA_DIGITS)).0;
assert_eq!(log_10_2_f32.to_string(), "0.30103001");
assert_eq!(to_hex_string(&log_10_2_f32), "0x0.4d104d8#24");
assert_eq!(log_10_2_f32, f32::LOG_10_2);
let log_10_2_f64 = Float::log_10_2_prec(u64::from(f64::MANTISSA_DIGITS)).0;
assert_eq!(log_10_2_f64.to_string(), "0.3010299956639812");
assert_eq!(to_hex_string(&log_10_2_f64), "0x0.4d104d427de7fc#53");
assert_eq!(log_10_2_f64, f64::LOG_10_2);
}
#[test]
#[should_panic]
fn log_10_2_prec_fail_1() {
Float::log_10_2_prec(0);
}
fn test_log_10_2_prec_round_helper(
prec: u64,
rm: RoundingMode,
out: &str,
out_hex: &str,
out_o: Ordering,
) {
let (x, o) = Float::log_10_2_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);
if let Ok(rm) = rug_round_try_from_rounding_mode(rm) {
let (rug_x, rug_o) = rug_log_10_2_prec_round(prec, rm);
assert_eq!(
ComparableFloatRef(&Float::from(&rug_x)),
ComparableFloatRef(&x)
);
assert_eq!(rug_o, o);
}
}
#[test]
pub fn test_log_10_2_prec_round() {
test_log_10_2_prec_round_helper(1, Floor, "0.2", "0x0.4#1", Less);
test_log_10_2_prec_round_helper(1, Ceiling, "0.5", "0x0.8#1", Greater);
test_log_10_2_prec_round_helper(1, Down, "0.2", "0x0.4#1", Less);
test_log_10_2_prec_round_helper(1, Up, "0.5", "0x0.8#1", Greater);
test_log_10_2_prec_round_helper(1, Nearest, "0.2", "0x0.4#1", Less);
test_log_10_2_prec_round_helper(2, Floor, "0.2", "0x0.4#2", Less);
test_log_10_2_prec_round_helper(2, Ceiling, "0.4", "0x0.6#2", Greater);
test_log_10_2_prec_round_helper(2, Down, "0.2", "0x0.4#2", Less);
test_log_10_2_prec_round_helper(2, Up, "0.4", "0x0.6#2", Greater);
test_log_10_2_prec_round_helper(2, Nearest, "0.2", "0x0.4#2", Less);
test_log_10_2_prec_round_helper(3, Floor, "0.25", "0x0.4#3", Less);
test_log_10_2_prec_round_helper(3, Ceiling, "0.3", "0x0.5#3", Greater);
test_log_10_2_prec_round_helper(3, Down, "0.25", "0x0.4#3", Less);
test_log_10_2_prec_round_helper(3, Up, "0.3", "0x0.5#3", Greater);
test_log_10_2_prec_round_helper(3, Nearest, "0.3", "0x0.5#3", Greater);
test_log_10_2_prec_round_helper(4, Floor, "0.28", "0x0.48#4", Less);
test_log_10_2_prec_round_helper(4, Ceiling, "0.31", "0x0.50#4", Greater);
test_log_10_2_prec_round_helper(4, Down, "0.28", "0x0.48#4", Less);
test_log_10_2_prec_round_helper(4, Up, "0.31", "0x0.50#4", Greater);
test_log_10_2_prec_round_helper(4, Nearest, "0.31", "0x0.50#4", Greater);
test_log_10_2_prec_round_helper(5, Floor, "0.3", "0x0.4c#5", Less);
test_log_10_2_prec_round_helper(5, Ceiling, "0.31", "0x0.50#5", Greater);
test_log_10_2_prec_round_helper(5, Down, "0.3", "0x0.4c#5", Less);
test_log_10_2_prec_round_helper(5, Up, "0.31", "0x0.50#5", Greater);
test_log_10_2_prec_round_helper(5, Nearest, "0.3", "0x0.4c#5", Less);
test_log_10_2_prec_round_helper(6, Floor, "0.297", "0x0.4c#6", Less);
test_log_10_2_prec_round_helper(6, Ceiling, "0.305", "0x0.4e#6", Greater);
test_log_10_2_prec_round_helper(6, Down, "0.297", "0x0.4c#6", Less);
test_log_10_2_prec_round_helper(6, Up, "0.305", "0x0.4e#6", Greater);
test_log_10_2_prec_round_helper(6, Nearest, "0.305", "0x0.4e#6", Greater);
test_log_10_2_prec_round_helper(7, Floor, "0.301", "0x0.4d#7", Less);
test_log_10_2_prec_round_helper(7, Ceiling, "0.305", "0x0.4e#7", Greater);
test_log_10_2_prec_round_helper(7, Down, "0.301", "0x0.4d#7", Less);
test_log_10_2_prec_round_helper(7, Up, "0.305", "0x0.4e#7", Greater);
test_log_10_2_prec_round_helper(7, Nearest, "0.301", "0x0.4d#7", Less);
test_log_10_2_prec_round_helper(8, Floor, "0.301", "0x0.4d0#8", Less);
test_log_10_2_prec_round_helper(8, Ceiling, "0.303", "0x0.4d8#8", Greater);
test_log_10_2_prec_round_helper(8, Down, "0.301", "0x0.4d0#8", Less);
test_log_10_2_prec_round_helper(8, Up, "0.303", "0x0.4d8#8", Greater);
test_log_10_2_prec_round_helper(8, Nearest, "0.301", "0x0.4d0#8", Less);
test_log_10_2_prec_round_helper(9, Floor, "0.301", "0x0.4d0#9", Less);
test_log_10_2_prec_round_helper(9, Ceiling, "0.302", "0x0.4d4#9", Greater);
test_log_10_2_prec_round_helper(9, Down, "0.301", "0x0.4d0#9", Less);
test_log_10_2_prec_round_helper(9, Up, "0.302", "0x0.4d4#9", Greater);
test_log_10_2_prec_round_helper(9, Nearest, "0.301", "0x0.4d0#9", Less);
test_log_10_2_prec_round_helper(10, Floor, "0.3008", "0x0.4d0#10", Less);
test_log_10_2_prec_round_helper(10, Ceiling, "0.3013", "0x0.4d2#10", Greater);
test_log_10_2_prec_round_helper(10, Down, "0.3008", "0x0.4d0#10", Less);
test_log_10_2_prec_round_helper(10, Up, "0.3013", "0x0.4d2#10", Greater);
test_log_10_2_prec_round_helper(10, Nearest, "0.3013", "0x0.4d2#10", Greater);
test_log_10_2_prec_round_helper(
100,
Floor,
"0.3010299956639811952137388947242",
"0x0.4d104d427de7fbcc47c4acd600#100",
Less,
);
test_log_10_2_prec_round_helper(
100,
Ceiling,
"0.3010299956639811952137388947246",
"0x0.4d104d427de7fbcc47c4acd608#100",
Greater,
);
test_log_10_2_prec_round_helper(
100,
Down,
"0.3010299956639811952137388947242",
"0x0.4d104d427de7fbcc47c4acd600#100",
Less,
);
test_log_10_2_prec_round_helper(
100,
Up,
"0.3010299956639811952137388947246",
"0x0.4d104d427de7fbcc47c4acd608#100",
Greater,
);
test_log_10_2_prec_round_helper(
100,
Nearest,
"0.3010299956639811952137388947246",
"0x0.4d104d427de7fbcc47c4acd608#100",
Greater,
);
}
#[test]
#[should_panic]
fn log_10_2_prec_round_fail_1() {
Float::log_10_2_prec_round(0, Floor);
}
#[test]
#[should_panic]
fn log_10_2_prec_round_fail_2() {
Float::log_10_2_prec_round(1, Exact);
}
#[test]
#[should_panic]
fn log_10_2_prec_round_fail_3() {
Float::log_10_2_prec_round(1000, Exact);
}
#[test]
fn log_10_2_prec_properties() {
unsigned_gen_var_11().test_properties(|prec| {
let (log_10_2, o) = Float::log_10_2_prec(prec);
assert!(log_10_2.is_valid());
assert_eq!(log_10_2.get_prec(), Some(prec));
assert_eq!(log_10_2.get_exponent(), Some(-1));
assert_ne!(o, Equal);
if o == Less {
let (log_10_2_alt, o_alt) = Float::log_10_2_prec_round(prec, Ceiling);
let mut next_upper = log_10_2.clone();
next_upper.increment();
if !next_upper.is_power_of_2() {
assert_eq!(ComparableFloat(log_10_2_alt), ComparableFloat(next_upper));
assert_eq!(o_alt, Greater);
}
} else if !log_10_2.is_power_of_2() {
let (log_10_2_alt, o_alt) = Float::log_10_2_prec_round(prec, Floor);
let mut next_lower = log_10_2.clone();
next_lower.decrement();
assert_eq!(ComparableFloat(log_10_2_alt), ComparableFloat(next_lower));
assert_eq!(o_alt, Less);
}
let (log_10_2_alt, o_alt) = Float::log_10_2_prec_round(prec, Nearest);
assert_eq!(
ComparableFloatRef(&log_10_2_alt),
ComparableFloatRef(&log_10_2)
);
assert_eq!(o_alt, o);
let (log_10_2_alt, o_alt) = Float::log_base_10_prec(Float::from(2), prec);
assert_eq!(
ComparableFloatRef(&log_10_2_alt),
ComparableFloatRef(&log_10_2)
);
assert_eq!(o_alt, o);
let (rug_log_10_2, rug_o) =
rug_log_10_2_prec_round(prec, rug_round_try_from_rounding_mode(Nearest).unwrap());
assert_eq!(
ComparableFloatRef(&Float::from(&rug_log_10_2)),
ComparableFloatRef(&log_10_2)
);
assert_eq!(rug_o, o);
});
}
#[test]
fn log_10_2_prec_round_properties() {
unsigned_rounding_mode_pair_gen_var_4().test_properties(|(prec, rm)| {
let (log_10_2, o) = Float::log_10_2_prec_round(prec, rm);
assert!(log_10_2.is_valid());
assert_eq!(log_10_2.get_prec(), Some(prec));
assert_eq!(
log_10_2.get_exponent(),
Some(if prec == 1 && (rm == Ceiling || rm == Up) {
0
} else {
-1
})
);
assert_ne!(o, Equal);
if o == Less {
let (log_10_2_alt, o_alt) = Float::log_10_2_prec_round(prec, Ceiling);
let mut next_upper = log_10_2.clone();
next_upper.increment();
if !next_upper.is_power_of_2() {
assert_eq!(ComparableFloat(log_10_2_alt), ComparableFloat(next_upper));
assert_eq!(o_alt, Greater);
}
} else if !log_10_2.is_power_of_2() {
let (log_10_2_alt, o_alt) = Float::log_10_2_prec_round(prec, Floor);
let mut next_lower = log_10_2.clone();
next_lower.decrement();
assert_eq!(ComparableFloat(log_10_2_alt), ComparableFloat(next_lower));
assert_eq!(o_alt, Less);
}
if let Ok(rm) = rug_round_try_from_rounding_mode(rm) {
let (rug_log_10_2, rug_o) = rug_log_10_2_prec_round(prec, rm);
assert_eq!(
ComparableFloatRef(&Float::from(&rug_log_10_2)),
ComparableFloatRef(&log_10_2)
);
assert_eq!(rug_o, o);
}
});
unsigned_gen_var_11().test_properties(|prec| {
assert_panic!(Float::log_10_2_prec_round(prec, Exact));
});
test_constant(Float::log_10_2_prec_round, 10000);
}