use std::{f32, f64, fmt, i16, str}; use core::num::flt2dec::{decode, DecodableFloat, Decoded, FullDecoded}; use core::num::flt2dec::{round_up, Formatted, Part, Sign, MAX_SIG_DIGITS}; use core::num::flt2dec::{ to_exact_exp_str, to_exact_fixed_str, to_shortest_exp_str, to_shortest_str, }; pub use test::Bencher; mod estimator; mod strategy { mod dragon; mod grisu; } mod random; pub fn decode_finite(v: T) -> Decoded { match decode(v).1 { FullDecoded::Finite(decoded) => decoded, full_decoded => panic!("expected finite, got {:?} instead", full_decoded), } } macro_rules! check_shortest { ($f:ident($v:expr) => $buf:expr, $exp:expr) => ( check_shortest!($f($v) => $buf, $exp; "shortest mismatch for v={v}: actual {actual:?}, expected {expected:?}", v = stringify!($v)) ); ($f:ident{$($k:ident: $v:expr),+} => $buf:expr, $exp:expr) => ( check_shortest!($f{$($k: $v),+} => $buf, $exp; "shortest mismatch for {v:?}: actual {actual:?}, expected {expected:?}", v = Decoded { $($k: $v),+ }) ); ($f:ident($v:expr) => $buf:expr, $exp:expr; $fmt:expr, $($key:ident = $val:expr),*) => ({ let mut buf = [b'_'; MAX_SIG_DIGITS]; let (len, k) = $f(&decode_finite($v), &mut buf); assert!((&buf[..len], k) == ($buf, $exp), $fmt, actual = (str::from_utf8(&buf[..len]).unwrap(), k), expected = (str::from_utf8($buf).unwrap(), $exp), $($key = $val),*); }); ($f:ident{$($k:ident: $v:expr),+} => $buf:expr, $exp:expr; $fmt:expr, $($key:ident = $val:expr),*) => ({ let mut buf = [b'_'; MAX_SIG_DIGITS]; let (len, k) = $f(&Decoded { $($k: $v),+ }, &mut buf); assert!((&buf[..len], k) == ($buf, $exp), $fmt, actual = (str::from_utf8(&buf[..len]).unwrap(), k), expected = (str::from_utf8($buf).unwrap(), $exp), $($key = $val),*); }) } macro_rules! try_exact { ($f:ident($decoded:expr) => $buf:expr, $expected:expr, $expectedk:expr; $fmt:expr, $($key:ident = $val:expr),*) => ({ let (len, k) = $f($decoded, &mut $buf[..$expected.len()], i16::MIN); assert!((&$buf[..len], k) == ($expected, $expectedk), $fmt, actual = (str::from_utf8(&$buf[..len]).unwrap(), k), expected = (str::from_utf8($expected).unwrap(), $expectedk), $($key = $val),*); }) } macro_rules! try_fixed { ($f:ident($decoded:expr) => $buf:expr, $request:expr, $expected:expr, $expectedk:expr; $fmt:expr, $($key:ident = $val:expr),*) => ({ let (len, k) = $f($decoded, &mut $buf[..], $request); assert!((&$buf[..len], k) == ($expected, $expectedk), $fmt, actual = (str::from_utf8(&$buf[..len]).unwrap(), k), expected = (str::from_utf8($expected).unwrap(), $expectedk), $($key = $val),*); }) } fn ldexp_f32(a: f32, b: i32) -> f32 { ldexp_f64(a as f64, b) as f32 } fn ldexp_f64(a: f64, b: i32) -> f64 { extern "C" { fn ldexp(x: f64, n: i32) -> f64; } // SAFETY: assuming a correct `ldexp` has been supplied, the given arguments cannot possibly // cause undefined behavior unsafe { ldexp(a, b) } } fn check_exact(mut f: F, v: T, vstr: &str, expected: &[u8], expectedk: i16) where T: DecodableFloat, F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { // use a large enough buffer let mut buf = [b'_'; 1024]; let mut expected_ = [b'_'; 1024]; let decoded = decode_finite(v); let cut = expected.iter().position(|&c| c == b' '); // check significant digits for i in 1..cut.unwrap_or(expected.len() - 1) { expected_[..i].copy_from_slice(&expected[..i]); let mut expectedk_ = expectedk; if expected[i] >= b'5' { // check if this is a rounding-to-even case. // we avoid rounding ...x5000... (with infinite zeroes) to ...(x+1) when x is even. if !(i + 1 < expected.len() && expected[i - 1] & 1 == 0 && expected[i] == b'5' && expected[i + 1] == b' ') { // if this returns true, expected_[..i] is all `9`s and being rounded up. // we should always return `100..00` (`i` digits) instead, since that's // what we can came up with `i` digits anyway. `round_up` assumes that // the adjustment to the length is done by caller, which we simply ignore. if let Some(_) = round_up(&mut expected_, i) { expectedk_ += 1; } } } try_exact!(f(&decoded) => &mut buf, &expected_[..i], expectedk_; "exact sigdigit mismatch for v={v}, i={i}: \ actual {actual:?}, expected {expected:?}", v = vstr, i = i); try_fixed!(f(&decoded) => &mut buf, expectedk_ - i as i16, &expected_[..i], expectedk_; "fixed sigdigit mismatch for v={v}, i={i}: \ actual {actual:?}, expected {expected:?}", v = vstr, i = i); } // check exact rounding for zero- and negative-width cases let start; if expected[0] >= b'5' { try_fixed!(f(&decoded) => &mut buf, expectedk, b"1", expectedk + 1; "zero-width rounding-up mismatch for v={v}: \ actual {actual:?}, expected {expected:?}", v = vstr); start = 1; } else { start = 0; } for i in start..-10 { try_fixed!(f(&decoded) => &mut buf, expectedk - i, b"", expectedk; "rounding-down mismatch for v={v}, i={i}: \ actual {actual:?}, expected {expected:?}", v = vstr, i = -i); } // check infinite zero digits if let Some(cut) = cut { for i in cut..expected.len() - 1 { expected_[..cut].copy_from_slice(&expected[..cut]); for c in &mut expected_[cut..i] { *c = b'0'; } try_exact!(f(&decoded) => &mut buf, &expected_[..i], expectedk; "exact infzero mismatch for v={v}, i={i}: \ actual {actual:?}, expected {expected:?}", v = vstr, i = i); try_fixed!(f(&decoded) => &mut buf, expectedk - i as i16, &expected_[..i], expectedk; "fixed infzero mismatch for v={v}, i={i}: \ actual {actual:?}, expected {expected:?}", v = vstr, i = i); } } } trait TestableFloat: DecodableFloat + fmt::Display { /// Returns `x * 2^exp`. Almost same to `std::{f32,f64}::ldexp`. /// This is used for testing. fn ldexpi(f: i64, exp: isize) -> Self; } impl TestableFloat for f32 { fn ldexpi(f: i64, exp: isize) -> Self { f as Self * (exp as Self).exp2() } } impl TestableFloat for f64 { fn ldexpi(f: i64, exp: isize) -> Self { f as Self * (exp as Self).exp2() } } fn check_exact_one(mut f: F, x: i64, e: isize, tstr: &str, expected: &[u8], expectedk: i16) where T: TestableFloat, F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { // use a large enough buffer let mut buf = [b'_'; 1024]; let v: T = TestableFloat::ldexpi(x, e); let decoded = decode_finite(v); try_exact!(f(&decoded) => &mut buf, &expected, expectedk; "exact mismatch for v={x}p{e}{t}: actual {actual:?}, expected {expected:?}", x = x, e = e, t = tstr); try_fixed!(f(&decoded) => &mut buf, expectedk - expected.len() as i16, &expected, expectedk; "fixed mismatch for v={x}p{e}{t}: actual {actual:?}, expected {expected:?}", x = x, e = e, t = tstr); } macro_rules! check_exact { ($f:ident($v:expr) => $buf:expr, $exp:expr) => { check_exact(|d, b, k| $f(d, b, k), $v, stringify!($v), $buf, $exp) }; } macro_rules! check_exact_one { ($f:ident($x:expr, $e:expr; $t:ty) => $buf:expr, $exp:expr) => { check_exact_one::<_, $t>(|d, b, k| $f(d, b, k), $x, $e, stringify!($t), $buf, $exp) }; } // in the following comments, three numbers are spaced by 1 ulp apart, // and the second one is being formatted. // // some tests are derived from [1]. // // [1] Vern Paxson, A Program for Testing IEEE Decimal-Binary Conversion // ftp://ftp.ee.lbl.gov/testbase-report.ps.Z pub fn f32_shortest_sanity_test(mut f: F) where F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { // 0.0999999940395355224609375 // 0.100000001490116119384765625 // 0.10000000894069671630859375 check_shortest!(f(0.1f32) => b"1", 0); // 0.333333313465118408203125 // 0.3333333432674407958984375 (1/3 in the default rounding) // 0.33333337306976318359375 check_shortest!(f(1.0f32/3.0) => b"33333334", 0); // 10^1 * 0.31415917873382568359375 // 10^1 * 0.31415920257568359375 // 10^1 * 0.31415922641754150390625 check_shortest!(f(3.141592f32) => b"3141592", 1); // 10^18 * 0.31415916243714048 // 10^18 * 0.314159196796878848 // 10^18 * 0.314159231156617216 check_shortest!(f(3.141592e17f32) => b"3141592", 18); // regression test for decoders // 10^8 * 0.3355443 // 10^8 * 0.33554432 // 10^8 * 0.33554436 check_shortest!(f(ldexp_f32(1.0, 25)) => b"33554432", 8); // 10^39 * 0.340282326356119256160033759537265639424 // 10^39 * 0.34028234663852885981170418348451692544 // 10^39 * 0.340282366920938463463374607431768211456 check_shortest!(f(f32::MAX) => b"34028235", 39); // 10^-37 * 0.1175494210692441075487029444849287348827... // 10^-37 * 0.1175494350822287507968736537222245677818... // 10^-37 * 0.1175494490952133940450443629595204006810... check_shortest!(f(f32::MIN_POSITIVE) => b"11754944", -37); // 10^-44 * 0 // 10^-44 * 0.1401298464324817070923729583289916131280... // 10^-44 * 0.2802596928649634141847459166579832262560... let minf32 = ldexp_f32(1.0, -149); check_shortest!(f(minf32) => b"1", -44); } pub fn f32_exact_sanity_test(mut f: F) where F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { let minf32 = ldexp_f32(1.0, -149); check_exact!(f(0.1f32) => b"100000001490116119384765625 ", 0); check_exact!(f(0.5f32) => b"5 ", 0); check_exact!(f(1.0f32/3.0) => b"3333333432674407958984375 ", 0); check_exact!(f(3.141592f32) => b"31415920257568359375 ", 1); check_exact!(f(3.141592e17f32) => b"314159196796878848 ", 18); check_exact!(f(f32::MAX) => b"34028234663852885981170418348451692544 ", 39); check_exact!(f(f32::MIN_POSITIVE) => b"1175494350822287507968736537222245677818", -37); check_exact!(f(minf32) => b"1401298464324817070923729583289916131280", -44); // [1], Table 16: Stress Inputs for Converting 24-bit Binary to Decimal, < 1/2 ULP check_exact_one!(f(12676506, -102; f32) => b"2", -23); check_exact_one!(f(12676506, -103; f32) => b"12", -23); check_exact_one!(f(15445013, 86; f32) => b"119", 34); check_exact_one!(f(13734123, -138; f32) => b"3941", -34); check_exact_one!(f(12428269, -130; f32) => b"91308", -32); check_exact_one!(f(15334037, -146; f32) => b"171900", -36); check_exact_one!(f(11518287, -41; f32) => b"5237910", -5); check_exact_one!(f(12584953, -145; f32) => b"28216440", -36); check_exact_one!(f(15961084, -125; f32) => b"375243281", -30); check_exact_one!(f(14915817, -146; f32) => b"1672120916", -36); check_exact_one!(f(10845484, -102; f32) => b"21388945814", -23); check_exact_one!(f(16431059, -61; f32) => b"712583594561", -11); // [1], Table 17: Stress Inputs for Converting 24-bit Binary to Decimal, > 1/2 ULP check_exact_one!(f(16093626, 69; f32) => b"1", 29); check_exact_one!(f( 9983778, 25; f32) => b"34", 15); check_exact_one!(f(12745034, 104; f32) => b"259", 39); check_exact_one!(f(12706553, 72; f32) => b"6001", 29); check_exact_one!(f(11005028, 45; f32) => b"38721", 21); check_exact_one!(f(15059547, 71; f32) => b"355584", 29); check_exact_one!(f(16015691, -99; f32) => b"2526831", -22); check_exact_one!(f( 8667859, 56; f32) => b"62458507", 24); check_exact_one!(f(14855922, -82; f32) => b"307213267", -17); check_exact_one!(f(14855922, -83; f32) => b"1536066333", -17); check_exact_one!(f(10144164, -110; f32) => b"78147796834", -26); check_exact_one!(f(13248074, 95; f32) => b"524810279937", 36); } pub fn f64_shortest_sanity_test(mut f: F) where F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { // 0.0999999999999999777955395074968691915273... // 0.1000000000000000055511151231257827021181... // 0.1000000000000000333066907387546962127089... check_shortest!(f(0.1f64) => b"1", 0); // this example is explicitly mentioned in the paper. // 10^3 * 0.0999999999999999857891452847979962825775... // 10^3 * 0.1 (exact) // 10^3 * 0.1000000000000000142108547152020037174224... check_shortest!(f(100.0f64) => b"1", 3); // 0.3333333333333332593184650249895639717578... // 0.3333333333333333148296162562473909929394... (1/3 in the default rounding) // 0.3333333333333333703407674875052180141210... check_shortest!(f(1.0f64/3.0) => b"3333333333333333", 0); // explicit test case for equally closest representations. // Dragon has its own tie-breaking rule; Grisu should fall back. // 10^1 * 0.1000007629394531027955395074968691915273... // 10^1 * 0.100000762939453125 (exact) // 10^1 * 0.1000007629394531472044604925031308084726... check_shortest!(f(1.00000762939453125f64) => b"10000076293945313", 1); // 10^1 * 0.3141591999999999718085064159822650253772... // 10^1 * 0.3141592000000000162174274009885266423225... // 10^1 * 0.3141592000000000606263483859947882592678... check_shortest!(f(3.141592f64) => b"3141592", 1); // 10^18 * 0.314159199999999936 // 10^18 * 0.3141592 (exact) // 10^18 * 0.314159200000000064 check_shortest!(f(3.141592e17f64) => b"3141592", 18); // regression test for decoders // 10^20 * 0.18446744073709549568 // 10^20 * 0.18446744073709551616 // 10^20 * 0.18446744073709555712 check_shortest!(f(ldexp_f64(1.0, 64)) => b"18446744073709552", 20); // pathological case: high = 10^23 (exact). tie breaking should always prefer that. // 10^24 * 0.099999999999999974834176 // 10^24 * 0.099999999999999991611392 // 10^24 * 0.100000000000000008388608 check_shortest!(f(1.0e23f64) => b"1", 24); // 10^309 * 0.1797693134862315508561243283845062402343... // 10^309 * 0.1797693134862315708145274237317043567980... // 10^309 * 0.1797693134862315907729305190789024733617... check_shortest!(f(f64::MAX) => b"17976931348623157", 309); // 10^-307 * 0.2225073858507200889024586876085859887650... // 10^-307 * 0.2225073858507201383090232717332404064219... // 10^-307 * 0.2225073858507201877155878558578948240788... check_shortest!(f(f64::MIN_POSITIVE) => b"22250738585072014", -307); // 10^-323 * 0 // 10^-323 * 0.4940656458412465441765687928682213723650... // 10^-323 * 0.9881312916824930883531375857364427447301... let minf64 = ldexp_f64(1.0, -1074); check_shortest!(f(minf64) => b"5", -323); } pub fn f64_exact_sanity_test(mut f: F) where F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { let minf64 = ldexp_f64(1.0, -1074); check_exact!(f(0.1f64) => b"1000000000000000055511151231257827021181", 0); check_exact!(f(0.45f64) => b"4500000000000000111022302462515654042363", 0); check_exact!(f(0.5f64) => b"5 ", 0); check_exact!(f(0.95f64) => b"9499999999999999555910790149937383830547", 0); check_exact!(f(100.0f64) => b"1 ", 3); check_exact!(f(999.5f64) => b"9995000000000000000000000000000000000000", 3); check_exact!(f(1.0f64/3.0) => b"3333333333333333148296162562473909929394", 0); check_exact!(f(3.141592f64) => b"3141592000000000162174274009885266423225", 1); check_exact!(f(3.141592e17f64) => b"3141592 ", 18); check_exact!(f(1.0e23f64) => b"99999999999999991611392 ", 23); check_exact!(f(f64::MAX) => b"1797693134862315708145274237317043567980", 309); check_exact!(f(f64::MIN_POSITIVE) => b"2225073858507201383090232717332404064219", -307); check_exact!(f(minf64) => b"4940656458412465441765687928682213723650\ 5980261432476442558568250067550727020875\ 1865299836361635992379796564695445717730\ 9266567103559397963987747960107818781263\ 0071319031140452784581716784898210368871\ 8636056998730723050006387409153564984387\ 3124733972731696151400317153853980741262\ 3856559117102665855668676818703956031062\ 4931945271591492455329305456544401127480\ 1297099995419319894090804165633245247571\ 4786901472678015935523861155013480352649\ 3472019379026810710749170333222684475333\ 5720832431936092382893458368060106011506\ 1698097530783422773183292479049825247307\ 7637592724787465608477820373446969953364\ 7017972677717585125660551199131504891101\ 4510378627381672509558373897335989936648\ 0994116420570263709027924276754456522908\ 7538682506419718265533447265625 ", -323); // [1], Table 3: Stress Inputs for Converting 53-bit Binary to Decimal, < 1/2 ULP check_exact_one!(f(8511030020275656, -342; f64) => b"9", -87); check_exact_one!(f(5201988407066741, -824; f64) => b"46", -232); check_exact_one!(f(6406892948269899, 237; f64) => b"141", 88); check_exact_one!(f(8431154198732492, 72; f64) => b"3981", 38); check_exact_one!(f(6475049196144587, 99; f64) => b"41040", 46); check_exact_one!(f(8274307542972842, 726; f64) => b"292084", 235); check_exact_one!(f(5381065484265332, -456; f64) => b"2891946", -121); check_exact_one!(f(6761728585499734, -1057; f64) => b"43787718", -302); check_exact_one!(f(7976538478610756, 376; f64) => b"122770163", 130); check_exact_one!(f(5982403858958067, 377; f64) => b"1841552452", 130); check_exact_one!(f(5536995190630837, 93; f64) => b"54835744350", 44); check_exact_one!(f(7225450889282194, 710; f64) => b"389190181146", 230); check_exact_one!(f(7225450889282194, 709; f64) => b"1945950905732", 230); check_exact_one!(f(8703372741147379, 117; f64) => b"14460958381605", 52); check_exact_one!(f(8944262675275217, -1001; f64) => b"417367747458531", -285); check_exact_one!(f(7459803696087692, -707; f64) => b"1107950772878888", -196); check_exact_one!(f(6080469016670379, -381; f64) => b"12345501366327440", -98); check_exact_one!(f(8385515147034757, 721; f64) => b"925031711960365024", 233); check_exact_one!(f(7514216811389786, -828; f64) => b"4198047150284889840", -233); check_exact_one!(f(8397297803260511, -345; f64) => b"11716315319786511046", -87); check_exact_one!(f(6733459239310543, 202; f64) => b"432810072844612493629", 77); check_exact_one!(f(8091450587292794, -473; f64) => b"3317710118160031081518", -126); // [1], Table 4: Stress Inputs for Converting 53-bit Binary to Decimal, > 1/2 ULP check_exact_one!(f(6567258882077402, 952; f64) => b"3", 303); check_exact_one!(f(6712731423444934, 535; f64) => b"76", 177); check_exact_one!(f(6712731423444934, 534; f64) => b"378", 177); check_exact_one!(f(5298405411573037, -957; f64) => b"4350", -272); check_exact_one!(f(5137311167659507, -144; f64) => b"23037", -27); check_exact_one!(f(6722280709661868, 363; f64) => b"126301", 126); check_exact_one!(f(5344436398034927, -169; f64) => b"7142211", -35); check_exact_one!(f(8369123604277281, -853; f64) => b"13934574", -240); check_exact_one!(f(8995822108487663, -780; f64) => b"141463449", -218); check_exact_one!(f(8942832835564782, -383; f64) => b"4539277920", -99); check_exact_one!(f(8942832835564782, -384; f64) => b"22696389598", -99); check_exact_one!(f(8942832835564782, -385; f64) => b"113481947988", -99); check_exact_one!(f(6965949469487146, -249; f64) => b"7700366561890", -59); check_exact_one!(f(6965949469487146, -250; f64) => b"38501832809448", -59); check_exact_one!(f(6965949469487146, -251; f64) => b"192509164047238", -59); check_exact_one!(f(7487252720986826, 548; f64) => b"6898586531774201", 181); check_exact_one!(f(5592117679628511, 164; f64) => b"13076622631878654", 66); check_exact_one!(f(8887055249355788, 665; f64) => b"136052020756121240", 217); check_exact_one!(f(6994187472632449, 690; f64) => b"3592810217475959676", 224); check_exact_one!(f(8797576579012143, 588; f64) => b"89125197712484551899", 193); check_exact_one!(f(7363326733505337, 272; f64) => b"558769757362301140950", 98); check_exact_one!(f(8549497411294502, -448; f64) => b"1176257830728540379990", -118); } pub fn more_shortest_sanity_test(mut f: F) where F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { check_shortest!(f{mant: 99_999_999_999_999_999, minus: 1, plus: 1, exp: 0, inclusive: true} => b"1", 18); check_shortest!(f{mant: 99_999_999_999_999_999, minus: 1, plus: 1, exp: 0, inclusive: false} => b"99999999999999999", 17); } fn to_string_with_parts(mut f: F) -> String where F: for<'a> FnMut(&'a mut [u8], &'a mut [Part<'a>]) -> Formatted<'a>, { let mut buf = [0; 1024]; let mut parts = [Part::Zero(0); 16]; let formatted = f(&mut buf, &mut parts); let mut ret = vec![0; formatted.len()]; assert_eq!(formatted.write(&mut ret), Some(ret.len())); String::from_utf8(ret).unwrap() } pub fn to_shortest_str_test(mut f_: F) where F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { use core::num::flt2dec::Sign::*; fn to_string(f: &mut F, v: T, sign: Sign, frac_digits: usize) -> String where T: DecodableFloat, F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { to_string_with_parts(|buf, parts| { to_shortest_str(|d, b| f(d, b), v, sign, frac_digits, buf, parts) }) } let f = &mut f_; assert_eq!(to_string(f, 0.0, Minus, 0), "0"); assert_eq!(to_string(f, 0.0, MinusRaw, 0), "0"); assert_eq!(to_string(f, 0.0, MinusPlus, 0), "+0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 0), "+0"); assert_eq!(to_string(f, -0.0, Minus, 0), "0"); assert_eq!(to_string(f, -0.0, MinusRaw, 0), "-0"); assert_eq!(to_string(f, -0.0, MinusPlus, 0), "+0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 0), "-0"); assert_eq!(to_string(f, 0.0, Minus, 1), "0.0"); assert_eq!(to_string(f, 0.0, MinusRaw, 1), "0.0"); assert_eq!(to_string(f, 0.0, MinusPlus, 1), "+0.0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 1), "+0.0"); assert_eq!(to_string(f, -0.0, Minus, 8), "0.00000000"); assert_eq!(to_string(f, -0.0, MinusRaw, 8), "-0.00000000"); assert_eq!(to_string(f, -0.0, MinusPlus, 8), "+0.00000000"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 8), "-0.00000000"); assert_eq!(to_string(f, 1.0 / 0.0, Minus, 0), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusRaw, 0), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlus, 0), "+inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlusRaw, 0), "+inf"); assert_eq!(to_string(f, 0.0 / 0.0, Minus, 0), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusRaw, 1), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlus, 8), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlusRaw, 64), "NaN"); assert_eq!(to_string(f, -1.0 / 0.0, Minus, 0), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusRaw, 1), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlus, 8), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlusRaw, 64), "-inf"); assert_eq!(to_string(f, 3.14, Minus, 0), "3.14"); assert_eq!(to_string(f, 3.14, MinusRaw, 0), "3.14"); assert_eq!(to_string(f, 3.14, MinusPlus, 0), "+3.14"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 0), "+3.14"); assert_eq!(to_string(f, -3.14, Minus, 0), "-3.14"); assert_eq!(to_string(f, -3.14, MinusRaw, 0), "-3.14"); assert_eq!(to_string(f, -3.14, MinusPlus, 0), "-3.14"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 0), "-3.14"); assert_eq!(to_string(f, 3.14, Minus, 1), "3.14"); assert_eq!(to_string(f, 3.14, MinusRaw, 2), "3.14"); assert_eq!(to_string(f, 3.14, MinusPlus, 3), "+3.140"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 4), "+3.1400"); assert_eq!(to_string(f, -3.14, Minus, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusRaw, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusPlus, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 8), "-3.14000000"); assert_eq!(to_string(f, 7.5e-11, Minus, 0), "0.000000000075"); assert_eq!(to_string(f, 7.5e-11, Minus, 3), "0.000000000075"); assert_eq!(to_string(f, 7.5e-11, Minus, 12), "0.000000000075"); assert_eq!(to_string(f, 7.5e-11, Minus, 13), "0.0000000000750"); assert_eq!(to_string(f, 1.9971e20, Minus, 0), "199710000000000000000"); assert_eq!(to_string(f, 1.9971e20, Minus, 1), "199710000000000000000.0"); assert_eq!(to_string(f, 1.9971e20, Minus, 8), "199710000000000000000.00000000"); assert_eq!(to_string(f, f32::MAX, Minus, 0), format!("34028235{:0>31}", "")); assert_eq!(to_string(f, f32::MAX, Minus, 1), format!("34028235{:0>31}.0", "")); assert_eq!(to_string(f, f32::MAX, Minus, 8), format!("34028235{:0>31}.00000000", "")); let minf32 = ldexp_f32(1.0, -149); assert_eq!(to_string(f, minf32, Minus, 0), format!("0.{:0>44}1", "")); assert_eq!(to_string(f, minf32, Minus, 45), format!("0.{:0>44}1", "")); assert_eq!(to_string(f, minf32, Minus, 46), format!("0.{:0>44}10", "")); assert_eq!(to_string(f, f64::MAX, Minus, 0), format!("17976931348623157{:0>292}", "")); assert_eq!(to_string(f, f64::MAX, Minus, 1), format!("17976931348623157{:0>292}.0", "")); assert_eq!(to_string(f, f64::MAX, Minus, 8), format!("17976931348623157{:0>292}.00000000", "")); let minf64 = ldexp_f64(1.0, -1074); assert_eq!(to_string(f, minf64, Minus, 0), format!("0.{:0>323}5", "")); assert_eq!(to_string(f, minf64, Minus, 324), format!("0.{:0>323}5", "")); assert_eq!(to_string(f, minf64, Minus, 325), format!("0.{:0>323}50", "")); if cfg!(miri) { // Miri is too slow return; } // very large output assert_eq!(to_string(f, 1.1, Minus, 80000), format!("1.1{:0>79999}", "")); } pub fn to_shortest_exp_str_test(mut f_: F) where F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { use core::num::flt2dec::Sign::*; fn to_string(f: &mut F, v: T, sign: Sign, exp_bounds: (i16, i16), upper: bool) -> String where T: DecodableFloat, F: FnMut(&Decoded, &mut [u8]) -> (usize, i16), { to_string_with_parts(|buf, parts| { to_shortest_exp_str(|d, b| f(d, b), v, sign, exp_bounds, upper, buf, parts) }) } let f = &mut f_; assert_eq!(to_string(f, 0.0, Minus, (-4, 16), false), "0"); assert_eq!(to_string(f, 0.0, MinusRaw, (-4, 16), false), "0"); assert_eq!(to_string(f, 0.0, MinusPlus, (-4, 16), false), "+0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, (-4, 16), false), "+0"); assert_eq!(to_string(f, -0.0, Minus, (-4, 16), false), "0"); assert_eq!(to_string(f, -0.0, MinusRaw, (-4, 16), false), "-0"); assert_eq!(to_string(f, -0.0, MinusPlus, (-4, 16), false), "+0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, (-4, 16), false), "-0"); assert_eq!(to_string(f, 0.0, Minus, (0, 0), true), "0E0"); assert_eq!(to_string(f, 0.0, MinusRaw, (0, 0), false), "0e0"); assert_eq!(to_string(f, 0.0, MinusPlus, (-9, -5), true), "+0E0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, (5, 9), false), "+0e0"); assert_eq!(to_string(f, -0.0, Minus, (0, 0), true), "0E0"); assert_eq!(to_string(f, -0.0, MinusRaw, (0, 0), false), "-0e0"); assert_eq!(to_string(f, -0.0, MinusPlus, (-9, -5), true), "+0E0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, (5, 9), false), "-0e0"); assert_eq!(to_string(f, 1.0 / 0.0, Minus, (-4, 16), false), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusRaw, (-4, 16), true), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlus, (-4, 16), false), "+inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlusRaw, (-4, 16), true), "+inf"); assert_eq!(to_string(f, 0.0 / 0.0, Minus, (0, 0), false), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusRaw, (0, 0), true), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlus, (-9, -5), false), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlusRaw, (5, 9), true), "NaN"); assert_eq!(to_string(f, -1.0 / 0.0, Minus, (0, 0), false), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusRaw, (0, 0), true), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlus, (-9, -5), false), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlusRaw, (5, 9), true), "-inf"); assert_eq!(to_string(f, 3.14, Minus, (-4, 16), false), "3.14"); assert_eq!(to_string(f, 3.14, MinusRaw, (-4, 16), false), "3.14"); assert_eq!(to_string(f, 3.14, MinusPlus, (-4, 16), false), "+3.14"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, (-4, 16), false), "+3.14"); assert_eq!(to_string(f, -3.14, Minus, (-4, 16), false), "-3.14"); assert_eq!(to_string(f, -3.14, MinusRaw, (-4, 16), false), "-3.14"); assert_eq!(to_string(f, -3.14, MinusPlus, (-4, 16), false), "-3.14"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, (-4, 16), false), "-3.14"); assert_eq!(to_string(f, 3.14, Minus, (0, 0), true), "3.14E0"); assert_eq!(to_string(f, 3.14, MinusRaw, (0, 0), false), "3.14e0"); assert_eq!(to_string(f, 3.14, MinusPlus, (-9, -5), true), "+3.14E0"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, (5, 9), false), "+3.14e0"); assert_eq!(to_string(f, -3.14, Minus, (0, 0), true), "-3.14E0"); assert_eq!(to_string(f, -3.14, MinusRaw, (0, 0), false), "-3.14e0"); assert_eq!(to_string(f, -3.14, MinusPlus, (-9, -5), true), "-3.14E0"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, (5, 9), false), "-3.14e0"); assert_eq!(to_string(f, 0.1, Minus, (-4, 16), false), "0.1"); assert_eq!(to_string(f, 0.1, MinusRaw, (-4, 16), false), "0.1"); assert_eq!(to_string(f, 0.1, MinusPlus, (-4, 16), false), "+0.1"); assert_eq!(to_string(f, 0.1, MinusPlusRaw, (-4, 16), false), "+0.1"); assert_eq!(to_string(f, -0.1, Minus, (-4, 16), false), "-0.1"); assert_eq!(to_string(f, -0.1, MinusRaw, (-4, 16), false), "-0.1"); assert_eq!(to_string(f, -0.1, MinusPlus, (-4, 16), false), "-0.1"); assert_eq!(to_string(f, -0.1, MinusPlusRaw, (-4, 16), false), "-0.1"); assert_eq!(to_string(f, 0.1, Minus, (0, 0), true), "1E-1"); assert_eq!(to_string(f, 0.1, MinusRaw, (0, 0), false), "1e-1"); assert_eq!(to_string(f, 0.1, MinusPlus, (-9, -5), true), "+1E-1"); assert_eq!(to_string(f, 0.1, MinusPlusRaw, (5, 9), false), "+1e-1"); assert_eq!(to_string(f, -0.1, Minus, (0, 0), true), "-1E-1"); assert_eq!(to_string(f, -0.1, MinusRaw, (0, 0), false), "-1e-1"); assert_eq!(to_string(f, -0.1, MinusPlus, (-9, -5), true), "-1E-1"); assert_eq!(to_string(f, -0.1, MinusPlusRaw, (5, 9), false), "-1e-1"); assert_eq!(to_string(f, 7.5e-11, Minus, (-4, 16), false), "7.5e-11"); assert_eq!(to_string(f, 7.5e-11, Minus, (-11, 10), false), "0.000000000075"); assert_eq!(to_string(f, 7.5e-11, Minus, (-10, 11), false), "7.5e-11"); assert_eq!(to_string(f, 1.9971e20, Minus, (-4, 16), false), "1.9971e20"); assert_eq!(to_string(f, 1.9971e20, Minus, (-20, 21), false), "199710000000000000000"); assert_eq!(to_string(f, 1.9971e20, Minus, (-21, 20), false), "1.9971e20"); // the true value of 1.0e23f64 is less than 10^23, but that shouldn't matter here assert_eq!(to_string(f, 1.0e23, Minus, (22, 23), false), "1e23"); assert_eq!(to_string(f, 1.0e23, Minus, (23, 24), false), "100000000000000000000000"); assert_eq!(to_string(f, 1.0e23, Minus, (24, 25), false), "1e23"); assert_eq!(to_string(f, f32::MAX, Minus, (-4, 16), false), "3.4028235e38"); assert_eq!(to_string(f, f32::MAX, Minus, (-39, 38), false), "3.4028235e38"); assert_eq!(to_string(f, f32::MAX, Minus, (-38, 39), false), format!("34028235{:0>31}", "")); let minf32 = ldexp_f32(1.0, -149); assert_eq!(to_string(f, minf32, Minus, (-4, 16), false), "1e-45"); assert_eq!(to_string(f, minf32, Minus, (-44, 45), false), "1e-45"); assert_eq!(to_string(f, minf32, Minus, (-45, 44), false), format!("0.{:0>44}1", "")); assert_eq!(to_string(f, f64::MAX, Minus, (-4, 16), false), "1.7976931348623157e308"); assert_eq!( to_string(f, f64::MAX, Minus, (-308, 309), false), format!("17976931348623157{:0>292}", "") ); assert_eq!(to_string(f, f64::MAX, Minus, (-309, 308), false), "1.7976931348623157e308"); let minf64 = ldexp_f64(1.0, -1074); assert_eq!(to_string(f, minf64, Minus, (-4, 16), false), "5e-324"); assert_eq!(to_string(f, minf64, Minus, (-324, 323), false), format!("0.{:0>323}5", "")); assert_eq!(to_string(f, minf64, Minus, (-323, 324), false), "5e-324"); assert_eq!(to_string(f, 1.1, Minus, (i16::MIN, i16::MAX), false), "1.1"); } pub fn to_exact_exp_str_test(mut f_: F) where F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { use core::num::flt2dec::Sign::*; fn to_string(f: &mut F, v: T, sign: Sign, ndigits: usize, upper: bool) -> String where T: DecodableFloat, F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { to_string_with_parts(|buf, parts| { to_exact_exp_str(|d, b, l| f(d, b, l), v, sign, ndigits, upper, buf, parts) }) } let f = &mut f_; assert_eq!(to_string(f, 0.0, Minus, 1, true), "0E0"); assert_eq!(to_string(f, 0.0, MinusRaw, 1, false), "0e0"); assert_eq!(to_string(f, 0.0, MinusPlus, 1, true), "+0E0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 1, false), "+0e0"); assert_eq!(to_string(f, -0.0, Minus, 1, true), "0E0"); assert_eq!(to_string(f, -0.0, MinusRaw, 1, false), "-0e0"); assert_eq!(to_string(f, -0.0, MinusPlus, 1, true), "+0E0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 1, false), "-0e0"); assert_eq!(to_string(f, 0.0, Minus, 2, true), "0.0E0"); assert_eq!(to_string(f, 0.0, MinusRaw, 2, false), "0.0e0"); assert_eq!(to_string(f, 0.0, MinusPlus, 2, true), "+0.0E0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 2, false), "+0.0e0"); assert_eq!(to_string(f, -0.0, Minus, 8, true), "0.0000000E0"); assert_eq!(to_string(f, -0.0, MinusRaw, 8, false), "-0.0000000e0"); assert_eq!(to_string(f, -0.0, MinusPlus, 8, true), "+0.0000000E0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 8, false), "-0.0000000e0"); assert_eq!(to_string(f, 1.0 / 0.0, Minus, 1, false), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusRaw, 1, true), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlus, 1, false), "+inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlusRaw, 1, true), "+inf"); assert_eq!(to_string(f, 0.0 / 0.0, Minus, 8, false), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusRaw, 8, true), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlus, 8, false), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlusRaw, 8, true), "NaN"); assert_eq!(to_string(f, -1.0 / 0.0, Minus, 64, false), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusRaw, 64, true), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlus, 64, false), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlusRaw, 64, true), "-inf"); assert_eq!(to_string(f, 3.14, Minus, 1, true), "3E0"); assert_eq!(to_string(f, 3.14, MinusRaw, 1, false), "3e0"); assert_eq!(to_string(f, 3.14, MinusPlus, 1, true), "+3E0"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 1, false), "+3e0"); assert_eq!(to_string(f, -3.14, Minus, 2, true), "-3.1E0"); assert_eq!(to_string(f, -3.14, MinusRaw, 2, false), "-3.1e0"); assert_eq!(to_string(f, -3.14, MinusPlus, 2, true), "-3.1E0"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 2, false), "-3.1e0"); assert_eq!(to_string(f, 3.14, Minus, 3, true), "3.14E0"); assert_eq!(to_string(f, 3.14, MinusRaw, 3, false), "3.14e0"); assert_eq!(to_string(f, 3.14, MinusPlus, 3, true), "+3.14E0"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 3, false), "+3.14e0"); assert_eq!(to_string(f, -3.14, Minus, 4, true), "-3.140E0"); assert_eq!(to_string(f, -3.14, MinusRaw, 4, false), "-3.140e0"); assert_eq!(to_string(f, -3.14, MinusPlus, 4, true), "-3.140E0"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 4, false), "-3.140e0"); assert_eq!(to_string(f, 0.195, Minus, 1, false), "2e-1"); assert_eq!(to_string(f, 0.195, MinusRaw, 1, true), "2E-1"); assert_eq!(to_string(f, 0.195, MinusPlus, 1, false), "+2e-1"); assert_eq!(to_string(f, 0.195, MinusPlusRaw, 1, true), "+2E-1"); assert_eq!(to_string(f, -0.195, Minus, 2, false), "-2.0e-1"); assert_eq!(to_string(f, -0.195, MinusRaw, 2, true), "-2.0E-1"); assert_eq!(to_string(f, -0.195, MinusPlus, 2, false), "-2.0e-1"); assert_eq!(to_string(f, -0.195, MinusPlusRaw, 2, true), "-2.0E-1"); assert_eq!(to_string(f, 0.195, Minus, 3, false), "1.95e-1"); assert_eq!(to_string(f, 0.195, MinusRaw, 3, true), "1.95E-1"); assert_eq!(to_string(f, 0.195, MinusPlus, 3, false), "+1.95e-1"); assert_eq!(to_string(f, 0.195, MinusPlusRaw, 3, true), "+1.95E-1"); assert_eq!(to_string(f, -0.195, Minus, 4, false), "-1.950e-1"); assert_eq!(to_string(f, -0.195, MinusRaw, 4, true), "-1.950E-1"); assert_eq!(to_string(f, -0.195, MinusPlus, 4, false), "-1.950e-1"); assert_eq!(to_string(f, -0.195, MinusPlusRaw, 4, true), "-1.950E-1"); assert_eq!(to_string(f, 9.5, Minus, 1, false), "1e1"); assert_eq!(to_string(f, 9.5, Minus, 2, false), "9.5e0"); assert_eq!(to_string(f, 9.5, Minus, 3, false), "9.50e0"); assert_eq!(to_string(f, 9.5, Minus, 30, false), "9.50000000000000000000000000000e0"); assert_eq!(to_string(f, 1.0e25, Minus, 1, false), "1e25"); assert_eq!(to_string(f, 1.0e25, Minus, 2, false), "1.0e25"); assert_eq!(to_string(f, 1.0e25, Minus, 15, false), "1.00000000000000e25"); assert_eq!(to_string(f, 1.0e25, Minus, 16, false), "1.000000000000000e25"); assert_eq!(to_string(f, 1.0e25, Minus, 17, false), "1.0000000000000001e25"); assert_eq!(to_string(f, 1.0e25, Minus, 18, false), "1.00000000000000009e25"); assert_eq!(to_string(f, 1.0e25, Minus, 19, false), "1.000000000000000091e25"); assert_eq!(to_string(f, 1.0e25, Minus, 20, false), "1.0000000000000000906e25"); assert_eq!(to_string(f, 1.0e25, Minus, 21, false), "1.00000000000000009060e25"); assert_eq!(to_string(f, 1.0e25, Minus, 22, false), "1.000000000000000090597e25"); assert_eq!(to_string(f, 1.0e25, Minus, 23, false), "1.0000000000000000905970e25"); assert_eq!(to_string(f, 1.0e25, Minus, 24, false), "1.00000000000000009059697e25"); assert_eq!(to_string(f, 1.0e25, Minus, 25, false), "1.000000000000000090596966e25"); assert_eq!(to_string(f, 1.0e25, Minus, 26, false), "1.0000000000000000905969664e25"); assert_eq!(to_string(f, 1.0e25, Minus, 27, false), "1.00000000000000009059696640e25"); assert_eq!(to_string(f, 1.0e25, Minus, 30, false), "1.00000000000000009059696640000e25"); assert_eq!(to_string(f, 1.0e-6, Minus, 1, false), "1e-6"); assert_eq!(to_string(f, 1.0e-6, Minus, 2, false), "1.0e-6"); assert_eq!(to_string(f, 1.0e-6, Minus, 16, false), "1.000000000000000e-6"); assert_eq!(to_string(f, 1.0e-6, Minus, 17, false), "9.9999999999999995e-7"); assert_eq!(to_string(f, 1.0e-6, Minus, 18, false), "9.99999999999999955e-7"); assert_eq!(to_string(f, 1.0e-6, Minus, 19, false), "9.999999999999999547e-7"); assert_eq!(to_string(f, 1.0e-6, Minus, 20, false), "9.9999999999999995475e-7"); assert_eq!(to_string(f, 1.0e-6, Minus, 30, false), "9.99999999999999954748111825886e-7"); assert_eq!( to_string(f, 1.0e-6, Minus, 40, false), "9.999999999999999547481118258862586856139e-7" ); assert_eq!( to_string(f, 1.0e-6, Minus, 50, false), "9.9999999999999995474811182588625868561393872369081e-7" ); assert_eq!( to_string(f, 1.0e-6, Minus, 60, false), "9.99999999999999954748111825886258685613938723690807819366455e-7" ); assert_eq!( to_string(f, 1.0e-6, Minus, 70, false), "9.999999999999999547481118258862586856139387236908078193664550781250000e-7" ); assert_eq!(to_string(f, f32::MAX, Minus, 1, false), "3e38"); assert_eq!(to_string(f, f32::MAX, Minus, 2, false), "3.4e38"); assert_eq!(to_string(f, f32::MAX, Minus, 4, false), "3.403e38"); assert_eq!(to_string(f, f32::MAX, Minus, 8, false), "3.4028235e38"); assert_eq!(to_string(f, f32::MAX, Minus, 16, false), "3.402823466385289e38"); assert_eq!(to_string(f, f32::MAX, Minus, 32, false), "3.4028234663852885981170418348452e38"); assert_eq!( to_string(f, f32::MAX, Minus, 64, false), "3.402823466385288598117041834845169254400000000000000000000000000e38" ); let minf32 = ldexp_f32(1.0, -149); assert_eq!(to_string(f, minf32, Minus, 1, false), "1e-45"); assert_eq!(to_string(f, minf32, Minus, 2, false), "1.4e-45"); assert_eq!(to_string(f, minf32, Minus, 4, false), "1.401e-45"); assert_eq!(to_string(f, minf32, Minus, 8, false), "1.4012985e-45"); assert_eq!(to_string(f, minf32, Minus, 16, false), "1.401298464324817e-45"); assert_eq!(to_string(f, minf32, Minus, 32, false), "1.4012984643248170709237295832899e-45"); assert_eq!( to_string(f, minf32, Minus, 64, false), "1.401298464324817070923729583289916131280261941876515771757068284e-45" ); assert_eq!( to_string(f, minf32, Minus, 128, false), "1.401298464324817070923729583289916131280261941876515771757068283\ 8897910826858606014866381883621215820312500000000000000000000000e-45" ); if cfg!(miri) { // Miri is too slow return; } assert_eq!(to_string(f, f64::MAX, Minus, 1, false), "2e308"); assert_eq!(to_string(f, f64::MAX, Minus, 2, false), "1.8e308"); assert_eq!(to_string(f, f64::MAX, Minus, 4, false), "1.798e308"); assert_eq!(to_string(f, f64::MAX, Minus, 8, false), "1.7976931e308"); assert_eq!(to_string(f, f64::MAX, Minus, 16, false), "1.797693134862316e308"); assert_eq!(to_string(f, f64::MAX, Minus, 32, false), "1.7976931348623157081452742373170e308"); assert_eq!( to_string(f, f64::MAX, Minus, 64, false), "1.797693134862315708145274237317043567980705675258449965989174768e308" ); assert_eq!( to_string(f, f64::MAX, Minus, 128, false), "1.797693134862315708145274237317043567980705675258449965989174768\ 0315726078002853876058955863276687817154045895351438246423432133e308" ); assert_eq!( to_string(f, f64::MAX, Minus, 256, false), "1.797693134862315708145274237317043567980705675258449965989174768\ 0315726078002853876058955863276687817154045895351438246423432132\ 6889464182768467546703537516986049910576551282076245490090389328\ 9440758685084551339423045832369032229481658085593321233482747978e308" ); assert_eq!( to_string(f, f64::MAX, Minus, 512, false), "1.797693134862315708145274237317043567980705675258449965989174768\ 0315726078002853876058955863276687817154045895351438246423432132\ 6889464182768467546703537516986049910576551282076245490090389328\ 9440758685084551339423045832369032229481658085593321233482747978\ 2620414472316873817718091929988125040402618412485836800000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000e308" ); // okay, this is becoming tough. fortunately for us, this is almost the worst case. let minf64 = ldexp_f64(1.0, -1074); assert_eq!(to_string(f, minf64, Minus, 1, false), "5e-324"); assert_eq!(to_string(f, minf64, Minus, 2, false), "4.9e-324"); assert_eq!(to_string(f, minf64, Minus, 4, false), "4.941e-324"); assert_eq!(to_string(f, minf64, Minus, 8, false), "4.9406565e-324"); assert_eq!(to_string(f, minf64, Minus, 16, false), "4.940656458412465e-324"); assert_eq!(to_string(f, minf64, Minus, 32, false), "4.9406564584124654417656879286822e-324"); assert_eq!( to_string(f, minf64, Minus, 64, false), "4.940656458412465441765687928682213723650598026143247644255856825e-324" ); assert_eq!( to_string(f, minf64, Minus, 128, false), "4.940656458412465441765687928682213723650598026143247644255856825\ 0067550727020875186529983636163599237979656469544571773092665671e-324" ); assert_eq!( to_string(f, minf64, Minus, 256, false), "4.940656458412465441765687928682213723650598026143247644255856825\ 0067550727020875186529983636163599237979656469544571773092665671\ 0355939796398774796010781878126300713190311404527845817167848982\ 1036887186360569987307230500063874091535649843873124733972731696e-324" ); assert_eq!( to_string(f, minf64, Minus, 512, false), "4.940656458412465441765687928682213723650598026143247644255856825\ 0067550727020875186529983636163599237979656469544571773092665671\ 0355939796398774796010781878126300713190311404527845817167848982\ 1036887186360569987307230500063874091535649843873124733972731696\ 1514003171538539807412623856559117102665855668676818703956031062\ 4931945271591492455329305456544401127480129709999541931989409080\ 4165633245247571478690147267801593552386115501348035264934720193\ 7902681071074917033322268447533357208324319360923828934583680601e-324" ); assert_eq!( to_string(f, minf64, Minus, 1024, false), "4.940656458412465441765687928682213723650598026143247644255856825\ 0067550727020875186529983636163599237979656469544571773092665671\ 0355939796398774796010781878126300713190311404527845817167848982\ 1036887186360569987307230500063874091535649843873124733972731696\ 1514003171538539807412623856559117102665855668676818703956031062\ 4931945271591492455329305456544401127480129709999541931989409080\ 4165633245247571478690147267801593552386115501348035264934720193\ 7902681071074917033322268447533357208324319360923828934583680601\ 0601150616980975307834227731832924790498252473077637592724787465\ 6084778203734469699533647017972677717585125660551199131504891101\ 4510378627381672509558373897335989936648099411642057026370902792\ 4276754456522908753868250641971826553344726562500000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000e-324" ); // very large output assert_eq!(to_string(f, 0.0, Minus, 80000, false), format!("0.{:0>79999}e0", "")); assert_eq!(to_string(f, 1.0e1, Minus, 80000, false), format!("1.{:0>79999}e1", "")); assert_eq!(to_string(f, 1.0e0, Minus, 80000, false), format!("1.{:0>79999}e0", "")); assert_eq!( to_string(f, 1.0e-1, Minus, 80000, false), format!( "1.000000000000000055511151231257827021181583404541015625{:0>79945}\ e-1", "" ) ); assert_eq!( to_string(f, 1.0e-20, Minus, 80000, false), format!( "9.999999999999999451532714542095716517295037027873924471077157760\ 66783064379706047475337982177734375{:0>79901}e-21", "" ) ); } pub fn to_exact_fixed_str_test(mut f_: F) where F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { use core::num::flt2dec::Sign::*; fn to_string(f: &mut F, v: T, sign: Sign, frac_digits: usize) -> String where T: DecodableFloat, F: FnMut(&Decoded, &mut [u8], i16) -> (usize, i16), { to_string_with_parts(|buf, parts| { to_exact_fixed_str(|d, b, l| f(d, b, l), v, sign, frac_digits, buf, parts) }) } let f = &mut f_; assert_eq!(to_string(f, 0.0, Minus, 0), "0"); assert_eq!(to_string(f, 0.0, MinusRaw, 0), "0"); assert_eq!(to_string(f, 0.0, MinusPlus, 0), "+0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 0), "+0"); assert_eq!(to_string(f, -0.0, Minus, 0), "0"); assert_eq!(to_string(f, -0.0, MinusRaw, 0), "-0"); assert_eq!(to_string(f, -0.0, MinusPlus, 0), "+0"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 0), "-0"); assert_eq!(to_string(f, 0.0, Minus, 1), "0.0"); assert_eq!(to_string(f, 0.0, MinusRaw, 1), "0.0"); assert_eq!(to_string(f, 0.0, MinusPlus, 1), "+0.0"); assert_eq!(to_string(f, 0.0, MinusPlusRaw, 1), "+0.0"); assert_eq!(to_string(f, -0.0, Minus, 8), "0.00000000"); assert_eq!(to_string(f, -0.0, MinusRaw, 8), "-0.00000000"); assert_eq!(to_string(f, -0.0, MinusPlus, 8), "+0.00000000"); assert_eq!(to_string(f, -0.0, MinusPlusRaw, 8), "-0.00000000"); assert_eq!(to_string(f, 1.0 / 0.0, Minus, 0), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusRaw, 1), "inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlus, 8), "+inf"); assert_eq!(to_string(f, 1.0 / 0.0, MinusPlusRaw, 64), "+inf"); assert_eq!(to_string(f, 0.0 / 0.0, Minus, 0), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusRaw, 1), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlus, 8), "NaN"); assert_eq!(to_string(f, 0.0 / 0.0, MinusPlusRaw, 64), "NaN"); assert_eq!(to_string(f, -1.0 / 0.0, Minus, 0), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusRaw, 1), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlus, 8), "-inf"); assert_eq!(to_string(f, -1.0 / 0.0, MinusPlusRaw, 64), "-inf"); assert_eq!(to_string(f, 3.14, Minus, 0), "3"); assert_eq!(to_string(f, 3.14, MinusRaw, 0), "3"); assert_eq!(to_string(f, 3.14, MinusPlus, 0), "+3"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 0), "+3"); assert_eq!(to_string(f, -3.14, Minus, 0), "-3"); assert_eq!(to_string(f, -3.14, MinusRaw, 0), "-3"); assert_eq!(to_string(f, -3.14, MinusPlus, 0), "-3"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 0), "-3"); assert_eq!(to_string(f, 3.14, Minus, 1), "3.1"); assert_eq!(to_string(f, 3.14, MinusRaw, 2), "3.14"); assert_eq!(to_string(f, 3.14, MinusPlus, 3), "+3.140"); assert_eq!(to_string(f, 3.14, MinusPlusRaw, 4), "+3.1400"); assert_eq!(to_string(f, -3.14, Minus, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusRaw, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusPlus, 8), "-3.14000000"); assert_eq!(to_string(f, -3.14, MinusPlusRaw, 8), "-3.14000000"); assert_eq!(to_string(f, 0.195, Minus, 0), "0"); assert_eq!(to_string(f, 0.195, MinusRaw, 0), "0"); assert_eq!(to_string(f, 0.195, MinusPlus, 0), "+0"); assert_eq!(to_string(f, 0.195, MinusPlusRaw, 0), "+0"); assert_eq!(to_string(f, -0.195, Minus, 0), "-0"); assert_eq!(to_string(f, -0.195, MinusRaw, 0), "-0"); assert_eq!(to_string(f, -0.195, MinusPlus, 0), "-0"); assert_eq!(to_string(f, -0.195, MinusPlusRaw, 0), "-0"); assert_eq!(to_string(f, 0.195, Minus, 1), "0.2"); assert_eq!(to_string(f, 0.195, MinusRaw, 2), "0.20"); assert_eq!(to_string(f, 0.195, MinusPlus, 3), "+0.195"); assert_eq!(to_string(f, 0.195, MinusPlusRaw, 4), "+0.1950"); assert_eq!(to_string(f, -0.195, Minus, 5), "-0.19500"); assert_eq!(to_string(f, -0.195, MinusRaw, 6), "-0.195000"); assert_eq!(to_string(f, -0.195, MinusPlus, 7), "-0.1950000"); assert_eq!(to_string(f, -0.195, MinusPlusRaw, 8), "-0.19500000"); assert_eq!(to_string(f, 999.5, Minus, 0), "1000"); assert_eq!(to_string(f, 999.5, Minus, 1), "999.5"); assert_eq!(to_string(f, 999.5, Minus, 2), "999.50"); assert_eq!(to_string(f, 999.5, Minus, 3), "999.500"); assert_eq!(to_string(f, 999.5, Minus, 30), "999.500000000000000000000000000000"); assert_eq!(to_string(f, 0.5, Minus, 0), "1"); assert_eq!(to_string(f, 0.5, Minus, 1), "0.5"); assert_eq!(to_string(f, 0.5, Minus, 2), "0.50"); assert_eq!(to_string(f, 0.5, Minus, 3), "0.500"); assert_eq!(to_string(f, 0.95, Minus, 0), "1"); assert_eq!(to_string(f, 0.95, Minus, 1), "0.9"); // because it really is less than 0.95 assert_eq!(to_string(f, 0.95, Minus, 2), "0.95"); assert_eq!(to_string(f, 0.95, Minus, 3), "0.950"); assert_eq!(to_string(f, 0.95, Minus, 10), "0.9500000000"); assert_eq!(to_string(f, 0.95, Minus, 30), "0.949999999999999955591079014994"); assert_eq!(to_string(f, 0.095, Minus, 0), "0"); assert_eq!(to_string(f, 0.095, Minus, 1), "0.1"); assert_eq!(to_string(f, 0.095, Minus, 2), "0.10"); assert_eq!(to_string(f, 0.095, Minus, 3), "0.095"); assert_eq!(to_string(f, 0.095, Minus, 4), "0.0950"); assert_eq!(to_string(f, 0.095, Minus, 10), "0.0950000000"); assert_eq!(to_string(f, 0.095, Minus, 30), "0.095000000000000001110223024625"); assert_eq!(to_string(f, 0.0095, Minus, 0), "0"); assert_eq!(to_string(f, 0.0095, Minus, 1), "0.0"); assert_eq!(to_string(f, 0.0095, Minus, 2), "0.01"); assert_eq!(to_string(f, 0.0095, Minus, 3), "0.009"); // really is less than 0.0095 assert_eq!(to_string(f, 0.0095, Minus, 4), "0.0095"); assert_eq!(to_string(f, 0.0095, Minus, 5), "0.00950"); assert_eq!(to_string(f, 0.0095, Minus, 10), "0.0095000000"); assert_eq!(to_string(f, 0.0095, Minus, 30), "0.009499999999999999764077607267"); assert_eq!(to_string(f, 7.5e-11, Minus, 0), "0"); assert_eq!(to_string(f, 7.5e-11, Minus, 3), "0.000"); assert_eq!(to_string(f, 7.5e-11, Minus, 10), "0.0000000001"); assert_eq!(to_string(f, 7.5e-11, Minus, 11), "0.00000000007"); // ditto assert_eq!(to_string(f, 7.5e-11, Minus, 12), "0.000000000075"); assert_eq!(to_string(f, 7.5e-11, Minus, 13), "0.0000000000750"); assert_eq!(to_string(f, 7.5e-11, Minus, 20), "0.00000000007500000000"); assert_eq!(to_string(f, 7.5e-11, Minus, 30), "0.000000000074999999999999999501"); assert_eq!(to_string(f, 1.0e25, Minus, 0), "10000000000000000905969664"); assert_eq!(to_string(f, 1.0e25, Minus, 1), "10000000000000000905969664.0"); assert_eq!(to_string(f, 1.0e25, Minus, 3), "10000000000000000905969664.000"); assert_eq!(to_string(f, 1.0e-6, Minus, 0), "0"); assert_eq!(to_string(f, 1.0e-6, Minus, 3), "0.000"); assert_eq!(to_string(f, 1.0e-6, Minus, 6), "0.000001"); assert_eq!(to_string(f, 1.0e-6, Minus, 9), "0.000001000"); assert_eq!(to_string(f, 1.0e-6, Minus, 12), "0.000001000000"); assert_eq!(to_string(f, 1.0e-6, Minus, 22), "0.0000010000000000000000"); assert_eq!(to_string(f, 1.0e-6, Minus, 23), "0.00000099999999999999995"); assert_eq!(to_string(f, 1.0e-6, Minus, 24), "0.000000999999999999999955"); assert_eq!(to_string(f, 1.0e-6, Minus, 25), "0.0000009999999999999999547"); assert_eq!(to_string(f, 1.0e-6, Minus, 35), "0.00000099999999999999995474811182589"); assert_eq!(to_string(f, 1.0e-6, Minus, 45), "0.000000999999999999999954748111825886258685614"); assert_eq!( to_string(f, 1.0e-6, Minus, 55), "0.0000009999999999999999547481118258862586856139387236908" ); assert_eq!( to_string(f, 1.0e-6, Minus, 65), "0.00000099999999999999995474811182588625868561393872369080781936646" ); assert_eq!( to_string(f, 1.0e-6, Minus, 75), "0.000000999999999999999954748111825886258685613938723690807819366455078125000" ); assert_eq!(to_string(f, f32::MAX, Minus, 0), "340282346638528859811704183484516925440"); assert_eq!(to_string(f, f32::MAX, Minus, 1), "340282346638528859811704183484516925440.0"); assert_eq!(to_string(f, f32::MAX, Minus, 2), "340282346638528859811704183484516925440.00"); if cfg!(miri) { // Miri is too slow return; } let minf32 = ldexp_f32(1.0, -149); assert_eq!(to_string(f, minf32, Minus, 0), "0"); assert_eq!(to_string(f, minf32, Minus, 1), "0.0"); assert_eq!(to_string(f, minf32, Minus, 2), "0.00"); assert_eq!(to_string(f, minf32, Minus, 4), "0.0000"); assert_eq!(to_string(f, minf32, Minus, 8), "0.00000000"); assert_eq!(to_string(f, minf32, Minus, 16), "0.0000000000000000"); assert_eq!(to_string(f, minf32, Minus, 32), "0.00000000000000000000000000000000"); assert_eq!( to_string(f, minf32, Minus, 64), "0.0000000000000000000000000000000000000000000014012984643248170709" ); assert_eq!( to_string(f, minf32, Minus, 128), "0.0000000000000000000000000000000000000000000014012984643248170709\ 2372958328991613128026194187651577175706828388979108268586060149" ); assert_eq!( to_string(f, minf32, Minus, 256), "0.0000000000000000000000000000000000000000000014012984643248170709\ 2372958328991613128026194187651577175706828388979108268586060148\ 6638188362121582031250000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000" ); assert_eq!( to_string(f, f64::MAX, Minus, 0), "1797693134862315708145274237317043567980705675258449965989174768\ 0315726078002853876058955863276687817154045895351438246423432132\ 6889464182768467546703537516986049910576551282076245490090389328\ 9440758685084551339423045832369032229481658085593321233482747978\ 26204144723168738177180919299881250404026184124858368" ); assert_eq!( to_string(f, f64::MAX, Minus, 10), "1797693134862315708145274237317043567980705675258449965989174768\ 0315726078002853876058955863276687817154045895351438246423432132\ 6889464182768467546703537516986049910576551282076245490090389328\ 9440758685084551339423045832369032229481658085593321233482747978\ 26204144723168738177180919299881250404026184124858368.0000000000" ); let minf64 = ldexp_f64(1.0, -1074); assert_eq!(to_string(f, minf64, Minus, 0), "0"); assert_eq!(to_string(f, minf64, Minus, 1), "0.0"); assert_eq!(to_string(f, minf64, Minus, 10), "0.0000000000"); assert_eq!( to_string(f, minf64, Minus, 100), "0.0000000000000000000000000000000000000000000000000000000000000000\ 000000000000000000000000000000000000" ); assert_eq!( to_string(f, minf64, Minus, 1000), "0.0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000000000\ 0004940656458412465441765687928682213723650598026143247644255856\ 8250067550727020875186529983636163599237979656469544571773092665\ 6710355939796398774796010781878126300713190311404527845817167848\ 9821036887186360569987307230500063874091535649843873124733972731\ 6961514003171538539807412623856559117102665855668676818703956031\ 0624931945271591492455329305456544401127480129709999541931989409\ 0804165633245247571478690147267801593552386115501348035264934720\ 1937902681071074917033322268447533357208324319360923828934583680\ 6010601150616980975307834227731832924790498252473077637592724787\ 4656084778203734469699533647017972677717585125660551199131504891\ 1014510378627381672509558373897335989937" ); // very large output assert_eq!(to_string(f, 0.0, Minus, 80000), format!("0.{:0>80000}", "")); assert_eq!(to_string(f, 1.0e1, Minus, 80000), format!("10.{:0>80000}", "")); assert_eq!(to_string(f, 1.0e0, Minus, 80000), format!("1.{:0>80000}", "")); assert_eq!( to_string(f, 1.0e-1, Minus, 80000), format!("0.1000000000000000055511151231257827021181583404541015625{:0>79945}", "") ); assert_eq!( to_string(f, 1.0e-20, Minus, 80000), format!( "0.0000000000000000000099999999999999994515327145420957165172950370\ 2787392447107715776066783064379706047475337982177734375{:0>79881}", "" ) ); }