diff options
Diffstat (limited to 'third_party/rust/ryu/src')
-rw-r--r-- | third_party/rust/ryu/src/buffer/mod.rs | 170 | ||||
-rw-r--r-- | third_party/rust/ryu/src/common.rs | 95 | ||||
-rw-r--r-- | third_party/rust/ryu/src/d2s.rs | 300 | ||||
-rw-r--r-- | third_party/rust/ryu/src/d2s_full_table.rs | 696 | ||||
-rw-r--r-- | third_party/rust/ryu/src/d2s_intrinsics.rs | 89 | ||||
-rw-r--r-- | third_party/rust/ryu/src/d2s_small_table.rs | 142 | ||||
-rw-r--r-- | third_party/rust/ryu/src/digit_table.rs | 28 | ||||
-rw-r--r-- | third_party/rust/ryu/src/f2s.rs | 176 | ||||
-rw-r--r-- | third_party/rust/ryu/src/f2s_intrinsics.rs | 113 | ||||
-rw-r--r-- | third_party/rust/ryu/src/lib.rs | 123 | ||||
-rw-r--r-- | third_party/rust/ryu/src/parse.rs | 19 | ||||
-rw-r--r-- | third_party/rust/ryu/src/pretty/exponent.rs | 48 | ||||
-rw-r--r-- | third_party/rust/ryu/src/pretty/mantissa.rs | 82 | ||||
-rw-r--r-- | third_party/rust/ryu/src/pretty/mod.rs | 224 | ||||
-rw-r--r-- | third_party/rust/ryu/src/s2d.rs | 217 | ||||
-rw-r--r-- | third_party/rust/ryu/src/s2f.rs | 227 |
16 files changed, 2749 insertions, 0 deletions
diff --git a/third_party/rust/ryu/src/buffer/mod.rs b/third_party/rust/ryu/src/buffer/mod.rs new file mode 100644 index 0000000000..2ccd9b0a37 --- /dev/null +++ b/third_party/rust/ryu/src/buffer/mod.rs @@ -0,0 +1,170 @@ +use crate::raw; +use core::mem::MaybeUninit; +use core::{slice, str}; +#[cfg(feature = "no-panic")] +use no_panic::no_panic; + +const NAN: &str = "NaN"; +const INFINITY: &str = "inf"; +const NEG_INFINITY: &str = "-inf"; + +/// Safe API for formatting floating point numbers to text. +/// +/// ## Example +/// +/// ``` +/// let mut buffer = ryu::Buffer::new(); +/// let printed = buffer.format_finite(1.234); +/// assert_eq!(printed, "1.234"); +/// ``` +pub struct Buffer { + bytes: [MaybeUninit<u8>; 24], +} + +impl Buffer { + /// This is a cheap operation; you don't need to worry about reusing buffers + /// for efficiency. + #[inline] + #[cfg_attr(feature = "no-panic", no_panic)] + pub fn new() -> Self { + let bytes = [MaybeUninit::<u8>::uninit(); 24]; + Buffer { bytes } + } + + /// Print a floating point number into this buffer and return a reference to + /// its string representation within the buffer. + /// + /// # Special cases + /// + /// This function formats NaN as the string "NaN", positive infinity as + /// "inf", and negative infinity as "-inf" to match std::fmt. + /// + /// If your input is known to be finite, you may get better performance by + /// calling the `format_finite` method instead of `format` to avoid the + /// checks for special cases. + #[cfg_attr(feature = "no-panic", inline)] + #[cfg_attr(feature = "no-panic", no_panic)] + pub fn format<F: Float>(&mut self, f: F) -> &str { + if f.is_nonfinite() { + f.format_nonfinite() + } else { + self.format_finite(f) + } + } + + /// Print a floating point number into this buffer and return a reference to + /// its string representation within the buffer. + /// + /// # Special cases + /// + /// This function **does not** check for NaN or infinity. If the input + /// number is not a finite float, the printed representation will be some + /// correctly formatted but unspecified numerical value. + /// + /// Please check [`is_finite`] yourself before calling this function, or + /// check [`is_nan`] and [`is_infinite`] and handle those cases yourself. + /// + /// [`is_finite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_finite + /// [`is_nan`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_nan + /// [`is_infinite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_infinite + #[inline] + #[cfg_attr(feature = "no-panic", no_panic)] + pub fn format_finite<F: Float>(&mut self, f: F) -> &str { + unsafe { + let n = f.write_to_ryu_buffer(self.bytes.as_mut_ptr() as *mut u8); + debug_assert!(n <= self.bytes.len()); + let slice = slice::from_raw_parts(self.bytes.as_ptr() as *const u8, n); + str::from_utf8_unchecked(slice) + } + } +} + +impl Copy for Buffer {} + +impl Clone for Buffer { + #[inline] + fn clone(&self) -> Self { + Buffer::new() + } +} + +impl Default for Buffer { + #[inline] + #[cfg_attr(feature = "no-panic", no_panic)] + fn default() -> Self { + Buffer::new() + } +} + +/// A floating point number, f32 or f64, that can be written into a +/// [`ryu::Buffer`][Buffer]. +/// +/// This trait is sealed and cannot be implemented for types outside of the +/// `ryu` crate. +pub trait Float: Sealed {} +impl Float for f32 {} +impl Float for f64 {} + +pub trait Sealed: Copy { + fn is_nonfinite(self) -> bool; + fn format_nonfinite(self) -> &'static str; + unsafe fn write_to_ryu_buffer(self, result: *mut u8) -> usize; +} + +impl Sealed for f32 { + #[inline] + fn is_nonfinite(self) -> bool { + const EXP_MASK: u32 = 0x7f800000; + let bits = self.to_bits(); + bits & EXP_MASK == EXP_MASK + } + + #[cold] + #[cfg_attr(feature = "no-panic", inline)] + fn format_nonfinite(self) -> &'static str { + const MANTISSA_MASK: u32 = 0x007fffff; + const SIGN_MASK: u32 = 0x80000000; + let bits = self.to_bits(); + if bits & MANTISSA_MASK != 0 { + NAN + } else if bits & SIGN_MASK != 0 { + NEG_INFINITY + } else { + INFINITY + } + } + + #[inline] + unsafe fn write_to_ryu_buffer(self, result: *mut u8) -> usize { + raw::format32(self, result) + } +} + +impl Sealed for f64 { + #[inline] + fn is_nonfinite(self) -> bool { + const EXP_MASK: u64 = 0x7ff0000000000000; + let bits = self.to_bits(); + bits & EXP_MASK == EXP_MASK + } + + #[cold] + #[cfg_attr(feature = "no-panic", inline)] + fn format_nonfinite(self) -> &'static str { + const MANTISSA_MASK: u64 = 0x000fffffffffffff; + const SIGN_MASK: u64 = 0x8000000000000000; + let bits = self.to_bits(); + if bits & MANTISSA_MASK != 0 { + NAN + } else if bits & SIGN_MASK != 0 { + NEG_INFINITY + } else { + INFINITY + } + } + + #[inline] + unsafe fn write_to_ryu_buffer(self, result: *mut u8) -> usize { + raw::format64(self, result) + } +} diff --git a/third_party/rust/ryu/src/common.rs b/third_party/rust/ryu/src/common.rs new file mode 100644 index 0000000000..9613036a25 --- /dev/null +++ b/third_party/rust/ryu/src/common.rs @@ -0,0 +1,95 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +// Returns the number of decimal digits in v, which must not contain more than 9 +// digits. +#[cfg_attr(feature = "no-panic", inline)] +pub fn decimal_length9(v: u32) -> u32 { + // Function precondition: v is not a 10-digit number. + // (f2s: 9 digits are sufficient for round-tripping.) + debug_assert!(v < 1000000000); + + if v >= 100000000 { + 9 + } else if v >= 10000000 { + 8 + } else if v >= 1000000 { + 7 + } else if v >= 100000 { + 6 + } else if v >= 10000 { + 5 + } else if v >= 1000 { + 4 + } else if v >= 100 { + 3 + } else if v >= 10 { + 2 + } else { + 1 + } +} + +// Returns e == 0 ? 1 : [log_2(5^e)]; requires 0 <= e <= 3528. +#[cfg_attr(feature = "no-panic", inline)] +#[allow(dead_code)] +pub fn log2_pow5(e: i32) -> i32 /* or u32 -> u32 */ { + // This approximation works up to the point that the multiplication + // overflows at e = 3529. If the multiplication were done in 64 bits, it + // would fail at 5^4004 which is just greater than 2^9297. + debug_assert!(e >= 0); + debug_assert!(e <= 3528); + ((e as u32 * 1217359) >> 19) as i32 +} + +// Returns e == 0 ? 1 : ceil(log_2(5^e)); requires 0 <= e <= 3528. +#[cfg_attr(feature = "no-panic", inline)] +pub fn pow5bits(e: i32) -> i32 /* or u32 -> u32 */ { + // This approximation works up to the point that the multiplication + // overflows at e = 3529. If the multiplication were done in 64 bits, it + // would fail at 5^4004 which is just greater than 2^9297. + debug_assert!(e >= 0); + debug_assert!(e <= 3528); + (((e as u32 * 1217359) >> 19) + 1) as i32 +} + +#[cfg_attr(feature = "no-panic", inline)] +#[allow(dead_code)] +pub fn ceil_log2_pow5(e: i32) -> i32 /* or u32 -> u32 */ { + log2_pow5(e) + 1 +} + +// Returns floor(log_10(2^e)); requires 0 <= e <= 1650. +#[cfg_attr(feature = "no-panic", inline)] +pub fn log10_pow2(e: i32) -> u32 /* or u32 -> u32 */ { + // The first value this approximation fails for is 2^1651 which is just greater than 10^297. + debug_assert!(e >= 0); + debug_assert!(e <= 1650); + (e as u32 * 78913) >> 18 +} + +// Returns floor(log_10(5^e)); requires 0 <= e <= 2620. +#[cfg_attr(feature = "no-panic", inline)] +pub fn log10_pow5(e: i32) -> u32 /* or u32 -> u32 */ { + // The first value this approximation fails for is 5^2621 which is just greater than 10^1832. + debug_assert!(e >= 0); + debug_assert!(e <= 2620); + (e as u32 * 732923) >> 20 +} diff --git a/third_party/rust/ryu/src/d2s.rs b/third_party/rust/ryu/src/d2s.rs new file mode 100644 index 0000000000..392577a9a1 --- /dev/null +++ b/third_party/rust/ryu/src/d2s.rs @@ -0,0 +1,300 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +use crate::common::*; +#[cfg(not(feature = "small"))] +pub use crate::d2s_full_table::*; +use crate::d2s_intrinsics::*; +#[cfg(feature = "small")] +pub use crate::d2s_small_table::*; +use core::mem::MaybeUninit; + +pub const DOUBLE_MANTISSA_BITS: u32 = 52; +pub const DOUBLE_EXPONENT_BITS: u32 = 11; +pub const DOUBLE_BIAS: i32 = 1023; +pub const DOUBLE_POW5_INV_BITCOUNT: i32 = 125; +pub const DOUBLE_POW5_BITCOUNT: i32 = 125; + +#[cfg_attr(feature = "no-panic", inline)] +pub fn decimal_length17(v: u64) -> u32 { + // This is slightly faster than a loop. + // The average output length is 16.38 digits, so we check high-to-low. + // Function precondition: v is not an 18, 19, or 20-digit number. + // (17 digits are sufficient for round-tripping.) + debug_assert!(v < 100000000000000000); + + if v >= 10000000000000000 { + 17 + } else if v >= 1000000000000000 { + 16 + } else if v >= 100000000000000 { + 15 + } else if v >= 10000000000000 { + 14 + } else if v >= 1000000000000 { + 13 + } else if v >= 100000000000 { + 12 + } else if v >= 10000000000 { + 11 + } else if v >= 1000000000 { + 10 + } else if v >= 100000000 { + 9 + } else if v >= 10000000 { + 8 + } else if v >= 1000000 { + 7 + } else if v >= 100000 { + 6 + } else if v >= 10000 { + 5 + } else if v >= 1000 { + 4 + } else if v >= 100 { + 3 + } else if v >= 10 { + 2 + } else { + 1 + } +} + +// A floating decimal representing m * 10^e. +pub struct FloatingDecimal64 { + pub mantissa: u64, + // Decimal exponent's range is -324 to 308 + // inclusive, and can fit in i16 if needed. + pub exponent: i32, +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn d2d(ieee_mantissa: u64, ieee_exponent: u32) -> FloatingDecimal64 { + let (e2, m2) = if ieee_exponent == 0 { + ( + // We subtract 2 so that the bounds computation has 2 additional bits. + 1 - DOUBLE_BIAS - DOUBLE_MANTISSA_BITS as i32 - 2, + ieee_mantissa, + ) + } else { + ( + ieee_exponent as i32 - DOUBLE_BIAS - DOUBLE_MANTISSA_BITS as i32 - 2, + (1u64 << DOUBLE_MANTISSA_BITS) | ieee_mantissa, + ) + }; + let even = (m2 & 1) == 0; + let accept_bounds = even; + + // Step 2: Determine the interval of valid decimal representations. + let mv = 4 * m2; + // Implicit bool -> int conversion. True is 1, false is 0. + let mm_shift = (ieee_mantissa != 0 || ieee_exponent <= 1) as u32; + // We would compute mp and mm like this: + // uint64_t mp = 4 * m2 + 2; + // uint64_t mm = mv - 1 - mm_shift; + + // Step 3: Convert to a decimal power base using 128-bit arithmetic. + let mut vr: u64; + let mut vp: u64; + let mut vm: u64; + let mut vp_uninit: MaybeUninit<u64> = MaybeUninit::uninit(); + let mut vm_uninit: MaybeUninit<u64> = MaybeUninit::uninit(); + let e10: i32; + let mut vm_is_trailing_zeros = false; + let mut vr_is_trailing_zeros = false; + if e2 >= 0 { + // I tried special-casing q == 0, but there was no effect on performance. + // This expression is slightly faster than max(0, log10_pow2(e2) - 1). + let q = log10_pow2(e2) - (e2 > 3) as u32; + e10 = q as i32; + let k = DOUBLE_POW5_INV_BITCOUNT + pow5bits(q as i32) - 1; + let i = -e2 + q as i32 + k; + vr = unsafe { + mul_shift_all_64( + m2, + #[cfg(feature = "small")] + &compute_inv_pow5(q), + #[cfg(not(feature = "small"))] + { + debug_assert!(q < DOUBLE_POW5_INV_SPLIT.len() as u32); + DOUBLE_POW5_INV_SPLIT.get_unchecked(q as usize) + }, + i as u32, + vp_uninit.as_mut_ptr(), + vm_uninit.as_mut_ptr(), + mm_shift, + ) + }; + vp = unsafe { vp_uninit.assume_init() }; + vm = unsafe { vm_uninit.assume_init() }; + if q <= 21 { + // This should use q <= 22, but I think 21 is also safe. Smaller values + // may still be safe, but it's more difficult to reason about them. + // Only one of mp, mv, and mm can be a multiple of 5, if any. + let mv_mod5 = (mv as u32).wrapping_sub(5u32.wrapping_mul(div5(mv) as u32)); + if mv_mod5 == 0 { + vr_is_trailing_zeros = multiple_of_power_of_5(mv, q); + } else if accept_bounds { + // Same as min(e2 + (~mm & 1), pow5_factor(mm)) >= q + // <=> e2 + (~mm & 1) >= q && pow5_factor(mm) >= q + // <=> true && pow5_factor(mm) >= q, since e2 >= q. + vm_is_trailing_zeros = multiple_of_power_of_5(mv - 1 - mm_shift as u64, q); + } else { + // Same as min(e2 + 1, pow5_factor(mp)) >= q. + vp -= multiple_of_power_of_5(mv + 2, q) as u64; + } + } + } else { + // This expression is slightly faster than max(0, log10_pow5(-e2) - 1). + let q = log10_pow5(-e2) - (-e2 > 1) as u32; + e10 = q as i32 + e2; + let i = -e2 - q as i32; + let k = pow5bits(i) - DOUBLE_POW5_BITCOUNT; + let j = q as i32 - k; + vr = unsafe { + mul_shift_all_64( + m2, + #[cfg(feature = "small")] + &compute_pow5(i as u32), + #[cfg(not(feature = "small"))] + { + debug_assert!(i < DOUBLE_POW5_SPLIT.len() as i32); + DOUBLE_POW5_SPLIT.get_unchecked(i as usize) + }, + j as u32, + vp_uninit.as_mut_ptr(), + vm_uninit.as_mut_ptr(), + mm_shift, + ) + }; + vp = unsafe { vp_uninit.assume_init() }; + vm = unsafe { vm_uninit.assume_init() }; + if q <= 1 { + // {vr,vp,vm} is trailing zeros if {mv,mp,mm} has at least q trailing 0 bits. + // mv = 4 * m2, so it always has at least two trailing 0 bits. + vr_is_trailing_zeros = true; + if accept_bounds { + // mm = mv - 1 - mm_shift, so it has 1 trailing 0 bit iff mm_shift == 1. + vm_is_trailing_zeros = mm_shift == 1; + } else { + // mp = mv + 2, so it always has at least one trailing 0 bit. + vp -= 1; + } + } else if q < 63 { + // TODO(ulfjack): Use a tighter bound here. + // We want to know if the full product has at least q trailing zeros. + // We need to compute min(p2(mv), p5(mv) - e2) >= q + // <=> p2(mv) >= q && p5(mv) - e2 >= q + // <=> p2(mv) >= q (because -e2 >= q) + vr_is_trailing_zeros = multiple_of_power_of_2(mv, q); + } + } + + // Step 4: Find the shortest decimal representation in the interval of valid representations. + let mut removed = 0i32; + let mut last_removed_digit = 0u8; + // On average, we remove ~2 digits. + let output = if vm_is_trailing_zeros || vr_is_trailing_zeros { + // General case, which happens rarely (~0.7%). + loop { + let vp_div10 = div10(vp); + let vm_div10 = div10(vm); + if vp_div10 <= vm_div10 { + break; + } + let vm_mod10 = (vm as u32).wrapping_sub(10u32.wrapping_mul(vm_div10 as u32)); + let vr_div10 = div10(vr); + let vr_mod10 = (vr as u32).wrapping_sub(10u32.wrapping_mul(vr_div10 as u32)); + vm_is_trailing_zeros &= vm_mod10 == 0; + vr_is_trailing_zeros &= last_removed_digit == 0; + last_removed_digit = vr_mod10 as u8; + vr = vr_div10; + vp = vp_div10; + vm = vm_div10; + removed += 1; + } + if vm_is_trailing_zeros { + loop { + let vm_div10 = div10(vm); + let vm_mod10 = (vm as u32).wrapping_sub(10u32.wrapping_mul(vm_div10 as u32)); + if vm_mod10 != 0 { + break; + } + let vp_div10 = div10(vp); + let vr_div10 = div10(vr); + let vr_mod10 = (vr as u32).wrapping_sub(10u32.wrapping_mul(vr_div10 as u32)); + vr_is_trailing_zeros &= last_removed_digit == 0; + last_removed_digit = vr_mod10 as u8; + vr = vr_div10; + vp = vp_div10; + vm = vm_div10; + removed += 1; + } + } + if vr_is_trailing_zeros && last_removed_digit == 5 && vr % 2 == 0 { + // Round even if the exact number is .....50..0. + last_removed_digit = 4; + } + // We need to take vr + 1 if vr is outside bounds or we need to round up. + vr + ((vr == vm && (!accept_bounds || !vm_is_trailing_zeros)) || last_removed_digit >= 5) + as u64 + } else { + // Specialized for the common case (~99.3%). Percentages below are relative to this. + let mut round_up = false; + let vp_div100 = div100(vp); + let vm_div100 = div100(vm); + // Optimization: remove two digits at a time (~86.2%). + if vp_div100 > vm_div100 { + let vr_div100 = div100(vr); + let vr_mod100 = (vr as u32).wrapping_sub(100u32.wrapping_mul(vr_div100 as u32)); + round_up = vr_mod100 >= 50; + vr = vr_div100; + vp = vp_div100; + vm = vm_div100; + removed += 2; + } + // Loop iterations below (approximately), without optimization above: + // 0: 0.03%, 1: 13.8%, 2: 70.6%, 3: 14.0%, 4: 1.40%, 5: 0.14%, 6+: 0.02% + // Loop iterations below (approximately), with optimization above: + // 0: 70.6%, 1: 27.8%, 2: 1.40%, 3: 0.14%, 4+: 0.02% + loop { + let vp_div10 = div10(vp); + let vm_div10 = div10(vm); + if vp_div10 <= vm_div10 { + break; + } + let vr_div10 = div10(vr); + let vr_mod10 = (vr as u32).wrapping_sub(10u32.wrapping_mul(vr_div10 as u32)); + round_up = vr_mod10 >= 5; + vr = vr_div10; + vp = vp_div10; + vm = vm_div10; + removed += 1; + } + // We need to take vr + 1 if vr is outside bounds or we need to round up. + vr + (vr == vm || round_up) as u64 + }; + let exp = e10 + removed; + + FloatingDecimal64 { + exponent: exp, + mantissa: output, + } +} diff --git a/third_party/rust/ryu/src/d2s_full_table.rs b/third_party/rust/ryu/src/d2s_full_table.rs new file mode 100644 index 0000000000..7534ddd6ab --- /dev/null +++ b/third_party/rust/ryu/src/d2s_full_table.rs @@ -0,0 +1,696 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +const DOUBLE_POW5_INV_TABLE_SIZE: usize = 342; +const DOUBLE_POW5_TABLE_SIZE: usize = 326; + +pub static DOUBLE_POW5_INV_SPLIT: [(u64, u64); DOUBLE_POW5_INV_TABLE_SIZE] = [ + (1, 2305843009213693952), + (11068046444225730970, 1844674407370955161), + (5165088340638674453, 1475739525896764129), + (7821419487252849886, 1180591620717411303), + (8824922364862649494, 1888946593147858085), + (7059937891890119595, 1511157274518286468), + (13026647942995916322, 1208925819614629174), + (9774590264567735146, 1934281311383406679), + (11509021026396098440, 1547425049106725343), + (16585914450600699399, 1237940039285380274), + (15469416676735388068, 1980704062856608439), + (16064882156130220778, 1584563250285286751), + (9162556910162266299, 1267650600228229401), + (7281393426775805432, 2028240960365167042), + (16893161185646375315, 1622592768292133633), + (2446482504291369283, 1298074214633706907), + (7603720821608101175, 2076918743413931051), + (2393627842544570617, 1661534994731144841), + (16672297533003297786, 1329227995784915872), + (11918280793837635165, 2126764793255865396), + (5845275820328197809, 1701411834604692317), + (15744267100488289217, 1361129467683753853), + (3054734472329800808, 2177807148294006166), + (17201182836831481939, 1742245718635204932), + (6382248639981364905, 1393796574908163946), + (2832900194486363201, 2230074519853062314), + (5955668970331000884, 1784059615882449851), + (1075186361522890384, 1427247692705959881), + (12788344622662355584, 2283596308329535809), + (13920024512871794791, 1826877046663628647), + (3757321980813615186, 1461501637330902918), + (10384555214134712795, 1169201309864722334), + (5547241898389809503, 1870722095783555735), + (4437793518711847602, 1496577676626844588), + (10928932444453298728, 1197262141301475670), + (17486291911125277965, 1915619426082361072), + (6610335899416401726, 1532495540865888858), + (12666966349016942027, 1225996432692711086), + (12888448528943286597, 1961594292308337738), + (17689456452638449924, 1569275433846670190), + (14151565162110759939, 1255420347077336152), + (7885109000409574610, 2008672555323737844), + (9997436015069570011, 1606938044258990275), + (7997948812055656009, 1285550435407192220), + (12796718099289049614, 2056880696651507552), + (2858676849947419045, 1645504557321206042), + (13354987924183666206, 1316403645856964833), + (17678631863951955605, 2106245833371143733), + (3074859046935833515, 1684996666696914987), + (13527933681774397782, 1347997333357531989), + (10576647446613305481, 2156795733372051183), + (15840015586774465031, 1725436586697640946), + (8982663654677661702, 1380349269358112757), + (18061610662226169046, 2208558830972980411), + (10759939715039024913, 1766847064778384329), + (12297300586773130254, 1413477651822707463), + (15986332124095098083, 2261564242916331941), + (9099716884534168143, 1809251394333065553), + (14658471137111155161, 1447401115466452442), + (4348079280205103483, 1157920892373161954), + (14335624477811986218, 1852673427797059126), + (7779150767507678651, 1482138742237647301), + (2533971799264232598, 1185710993790117841), + (15122401323048503126, 1897137590064188545), + (12097921058438802501, 1517710072051350836), + (5988988032009131678, 1214168057641080669), + (16961078480698431330, 1942668892225729070), + (13568862784558745064, 1554135113780583256), + (7165741412905085728, 1243308091024466605), + (11465186260648137165, 1989292945639146568), + (16550846638002330379, 1591434356511317254), + (16930026125143774626, 1273147485209053803), + (4951948911778577463, 2037035976334486086), + (272210314680951647, 1629628781067588869), + (3907117066486671641, 1303703024854071095), + (6251387306378674625, 2085924839766513752), + (16069156289328670670, 1668739871813211001), + (9165976216721026213, 1334991897450568801), + (7286864317269821294, 2135987035920910082), + (16897537898041588005, 1708789628736728065), + (13518030318433270404, 1367031702989382452), + (6871453250525591353, 2187250724783011924), + (9186511415162383406, 1749800579826409539), + (11038557946871817048, 1399840463861127631), + (10282995085511086630, 2239744742177804210), + (8226396068408869304, 1791795793742243368), + (13959814484210916090, 1433436634993794694), + (11267656730511734774, 2293498615990071511), + (5324776569667477496, 1834798892792057209), + (7949170070475892320, 1467839114233645767), + (17427382500606444826, 1174271291386916613), + (5747719112518849781, 1878834066219066582), + (15666221734240810795, 1503067252975253265), + (12532977387392648636, 1202453802380202612), + (5295368560860596524, 1923926083808324180), + (4236294848688477220, 1539140867046659344), + (7078384693692692099, 1231312693637327475), + (11325415509908307358, 1970100309819723960), + (9060332407926645887, 1576080247855779168), + (14626963555825137356, 1260864198284623334), + (12335095245094488799, 2017382717255397335), + (9868076196075591040, 1613906173804317868), + (15273158586344293478, 1291124939043454294), + (13369007293925138595, 2065799902469526871), + (7005857020398200553, 1652639921975621497), + (16672732060544291412, 1322111937580497197), + (11918976037903224966, 2115379100128795516), + (5845832015580669650, 1692303280103036413), + (12055363241948356366, 1353842624082429130), + (841837113407818570, 2166148198531886609), + (4362818505468165179, 1732918558825509287), + (14558301248600263113, 1386334847060407429), + (12225235553534690011, 2218135755296651887), + (2401490813343931363, 1774508604237321510), + (1921192650675145090, 1419606883389857208), + (17831303500047873437, 2271371013423771532), + (6886345170554478103, 1817096810739017226), + (1819727321701672159, 1453677448591213781), + (16213177116328979020, 1162941958872971024), + (14873036941900635463, 1860707134196753639), + (15587778368262418694, 1488565707357402911), + (8780873879868024632, 1190852565885922329), + (2981351763563108441, 1905364105417475727), + (13453127855076217722, 1524291284333980581), + (7073153469319063855, 1219433027467184465), + (11317045550910502167, 1951092843947495144), + (12742985255470312057, 1560874275157996115), + (10194388204376249646, 1248699420126396892), + (1553625868034358140, 1997919072202235028), + (8621598323911307159, 1598335257761788022), + (17965325103354776697, 1278668206209430417), + (13987124906400001422, 2045869129935088668), + (121653480894270168, 1636695303948070935), + (97322784715416134, 1309356243158456748), + (14913111714512307107, 2094969989053530796), + (8241140556867935363, 1675975991242824637), + (17660958889720079260, 1340780792994259709), + (17189487779326395846, 2145249268790815535), + (13751590223461116677, 1716199415032652428), + (18379969808252713988, 1372959532026121942), + (14650556434236701088, 2196735251241795108), + (652398703163629901, 1757388200993436087), + (11589965406756634890, 1405910560794748869), + (7475898206584884855, 2249456897271598191), + (2291369750525997561, 1799565517817278553), + (9211793429904618695, 1439652414253822842), + (18428218302589300235, 2303443862806116547), + (7363877012587619542, 1842755090244893238), + (13269799239553916280, 1474204072195914590), + (10615839391643133024, 1179363257756731672), + (2227947767661371545, 1886981212410770676), + (16539753473096738529, 1509584969928616540), + (13231802778477390823, 1207667975942893232), + (6413489186596184024, 1932268761508629172), + (16198837793502678189, 1545815009206903337), + (5580372605318321905, 1236652007365522670), + (8928596168509315048, 1978643211784836272), + (18210923379033183008, 1582914569427869017), + (7190041073742725760, 1266331655542295214), + (436019273762630246, 2026130648867672343), + (7727513048493924843, 1620904519094137874), + (9871359253537050198, 1296723615275310299), + (4726128361433549347, 2074757784440496479), + (7470251503888749801, 1659806227552397183), + (13354898832594820487, 1327844982041917746), + (13989140502667892133, 2124551971267068394), + (14880661216876224029, 1699641577013654715), + (11904528973500979224, 1359713261610923772), + (4289851098633925465, 2175541218577478036), + (18189276137874781665, 1740432974861982428), + (3483374466074094362, 1392346379889585943), + (1884050330976640656, 2227754207823337509), + (5196589079523222848, 1782203366258670007), + (15225317707844309248, 1425762693006936005), + (5913764258841343181, 2281220308811097609), + (8420360221814984868, 1824976247048878087), + (17804334621677718864, 1459980997639102469), + (17932816512084085415, 1167984798111281975), + (10245762345624985047, 1868775676978051161), + (4507261061758077715, 1495020541582440929), + (7295157664148372495, 1196016433265952743), + (7982903447895485668, 1913626293225524389), + (10075671573058298858, 1530901034580419511), + (4371188443704728763, 1224720827664335609), + (14372599139411386667, 1959553324262936974), + (15187428126271019657, 1567642659410349579), + (15839291315758726049, 1254114127528279663), + (3206773216762499739, 2006582604045247462), + (13633465017635730761, 1605266083236197969), + (14596120828850494932, 1284212866588958375), + (4907049252451240275, 2054740586542333401), + (236290587219081897, 1643792469233866721), + (14946427728742906810, 1315033975387093376), + (16535586736504830250, 2104054360619349402), + (5849771759720043554, 1683243488495479522), + (15747863852001765813, 1346594790796383617), + (10439186904235184007, 2154551665274213788), + (15730047152871967852, 1723641332219371030), + (12584037722297574282, 1378913065775496824), + (9066413911450387881, 2206260905240794919), + (10942479943902220628, 1765008724192635935), + (8753983955121776503, 1412006979354108748), + (10317025513452932081, 2259211166966573997), + (874922781278525018, 1807368933573259198), + (8078635854506640661, 1445895146858607358), + (13841606313089133175, 1156716117486885886), + (14767872471458792434, 1850745787979017418), + (746251532941302978, 1480596630383213935), + (597001226353042382, 1184477304306571148), + (15712597221132509104, 1895163686890513836), + (8880728962164096960, 1516130949512411069), + (10793931984473187891, 1212904759609928855), + (17270291175157100626, 1940647615375886168), + (2748186495899949531, 1552518092300708935), + (2198549196719959625, 1242014473840567148), + (18275073973719576693, 1987223158144907436), + (10930710364233751031, 1589778526515925949), + (12433917106128911148, 1271822821212740759), + (8826220925580526867, 2034916513940385215), + (7060976740464421494, 1627933211152308172), + (16716827836597268165, 1302346568921846537), + (11989529279587987770, 2083754510274954460), + (9591623423670390216, 1667003608219963568), + (15051996368420132820, 1333602886575970854), + (13015147745246481542, 2133764618521553367), + (3033420566713364587, 1707011694817242694), + (6116085268112601993, 1365609355853794155), + (9785736428980163188, 2184974969366070648), + (15207286772667951197, 1747979975492856518), + (1097782973908629988, 1398383980394285215), + (1756452758253807981, 2237414368630856344), + (5094511021344956708, 1789931494904685075), + (4075608817075965366, 1431945195923748060), + (6520974107321544586, 2291112313477996896), + (1527430471115325346, 1832889850782397517), + (12289990821117991246, 1466311880625918013), + (17210690286378213644, 1173049504500734410), + (9090360384495590213, 1876879207201175057), + (18340334751822203140, 1501503365760940045), + (14672267801457762512, 1201202692608752036), + (16096930852848599373, 1921924308174003258), + (1809498238053148529, 1537539446539202607), + (12515645034668249793, 1230031557231362085), + (1578287981759648052, 1968050491570179337), + (12330676829633449412, 1574440393256143469), + (13553890278448669853, 1259552314604914775), + (3239480371808320148, 2015283703367863641), + (17348979556414297411, 1612226962694290912), + (6500486015647617283, 1289781570155432730), + (10400777625036187652, 2063650512248692368), + (15699319729512770768, 1650920409798953894), + (16248804598352126938, 1320736327839163115), + (7551343283653851484, 2113178124542660985), + (6041074626923081187, 1690542499634128788), + (12211557331022285596, 1352433999707303030), + (1091747655926105338, 2163894399531684849), + (4562746939482794594, 1731115519625347879), + (7339546366328145998, 1384892415700278303), + (8053925371383123274, 2215827865120445285), + (6443140297106498619, 1772662292096356228), + (12533209867169019542, 1418129833677084982), + (5295740528502789974, 2269007733883335972), + (15304638867027962949, 1815206187106668777), + (4865013464138549713, 1452164949685335022), + (14960057215536570740, 1161731959748268017), + (9178696285890871890, 1858771135597228828), + (14721654658196518159, 1487016908477783062), + (4398626097073393881, 1189613526782226450), + (7037801755317430209, 1903381642851562320), + (5630241404253944167, 1522705314281249856), + (814844308661245011, 1218164251424999885), + (1303750893857992017, 1949062802279999816), + (15800395974054034906, 1559250241823999852), + (5261619149759407279, 1247400193459199882), + (12107939454356961969, 1995840309534719811), + (5997002748743659252, 1596672247627775849), + (8486951013736837725, 1277337798102220679), + (2511075177753209390, 2043740476963553087), + (13076906586428298482, 1634992381570842469), + (14150874083884549109, 1307993905256673975), + (4194654460505726958, 2092790248410678361), + (18113118827372222859, 1674232198728542688), + (3422448617672047318, 1339385758982834151), + (16543964232501006678, 2143017214372534641), + (9545822571258895019, 1714413771498027713), + (15015355686490936662, 1371531017198422170), + (5577825024675947042, 2194449627517475473), + (11840957649224578280, 1755559702013980378), + (16851463748863483271, 1404447761611184302), + (12204946739213931940, 2247116418577894884), + (13453306206113055875, 1797693134862315907), + (3383947335406624054, 1438154507889852726), + (16482362180876329456, 2301047212623764361), + (9496540929959153242, 1840837770099011489), + (11286581558709232917, 1472670216079209191), + (5339916432225476010, 1178136172863367353), + (4854517476818851293, 1885017876581387765), + (3883613981455081034, 1508014301265110212), + (14174937629389795797, 1206411441012088169), + (11611853762797942306, 1930258305619341071), + (5600134195496443521, 1544206644495472857), + (15548153800622885787, 1235365315596378285), + (6430302007287065643, 1976584504954205257), + (16212288050055383484, 1581267603963364205), + (12969830440044306787, 1265014083170691364), + (9683682259845159889, 2024022533073106183), + (15125643437359948558, 1619218026458484946), + (8411165935146048523, 1295374421166787957), + (17147214310975587960, 2072599073866860731), + (10028422634038560045, 1658079259093488585), + (8022738107230848036, 1326463407274790868), + (9147032156827446534, 2122341451639665389), + (11006974540203867551, 1697873161311732311), + (5116230817421183718, 1358298529049385849), + (15564666937357714594, 2173277646479017358), + (1383687105660440706, 1738622117183213887), + (12174996128754083534, 1390897693746571109), + (8411947361780802685, 2225436309994513775), + (6729557889424642148, 1780349047995611020), + (5383646311539713719, 1424279238396488816), + (1235136468979721303, 2278846781434382106), + (15745504434151418335, 1823077425147505684), + (16285752362063044992, 1458461940118004547), + (5649904260166615347, 1166769552094403638), + (5350498001524674232, 1866831283351045821), + (591049586477829062, 1493465026680836657), + (11540886113407994219, 1194772021344669325), + (18673707743239135, 1911635234151470921), + (14772334225162232601, 1529308187321176736), + (8128518565387875758, 1223446549856941389), + (1937583260394870242, 1957514479771106223), + (8928764237799716840, 1566011583816884978), + (14521709019723594119, 1252809267053507982), + (8477339172590109297, 2004494827285612772), + (17849917782297818407, 1603595861828490217), + (6901236596354434079, 1282876689462792174), + (18420676183650915173, 2052602703140467478), + (3668494502695001169, 1642082162512373983), + (10313493231639821582, 1313665730009899186), + (9122891541139893884, 2101865168015838698), + (14677010862395735754, 1681492134412670958), + (673562245690857633, 1345193707530136767), +]; + +pub static DOUBLE_POW5_SPLIT: [(u64, u64); DOUBLE_POW5_TABLE_SIZE] = [ + (0, 1152921504606846976), + (0, 1441151880758558720), + (0, 1801439850948198400), + (0, 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1565756531257009982), + (9441491299049866327, 1957195664071262478), + (1289246043478778550, 1223247290044539049), + (6223243572775861092, 1529059112555673811), + (3167368447542438461, 1911323890694592264), + (1979605279714024038, 1194577431684120165), + (7086192618069917952, 1493221789605150206), + (18081112809442173248, 1866527237006437757), + (13606538515115052232, 1166579523129023598), + (7784801107039039482, 1458224403911279498), + (507629346944023544, 1822780504889099373), + (5246222702107417334, 2278475631111374216), + (3278889188817135834, 1424047269444608885), + (8710297504448807696, 1780059086805761106), +]; diff --git a/third_party/rust/ryu/src/d2s_intrinsics.rs b/third_party/rust/ryu/src/d2s_intrinsics.rs new file mode 100644 index 0000000000..f244a4d036 --- /dev/null +++ b/third_party/rust/ryu/src/d2s_intrinsics.rs @@ -0,0 +1,89 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +use core::ptr; + +#[cfg_attr(feature = "no-panic", inline)] +pub fn div5(x: u64) -> u64 { + x / 5 +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn div10(x: u64) -> u64 { + x / 10 +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn div100(x: u64) -> u64 { + x / 100 +} + +#[cfg_attr(feature = "no-panic", inline)] +fn pow5_factor(mut value: u64) -> u32 { + let mut count = 0u32; + loop { + debug_assert!(value != 0); + let q = div5(value); + let r = (value as u32).wrapping_sub(5u32.wrapping_mul(q as u32)); + if r != 0 { + break; + } + value = q; + count += 1; + } + count +} + +// Returns true if value is divisible by 5^p. +#[cfg_attr(feature = "no-panic", inline)] +pub fn multiple_of_power_of_5(value: u64, p: u32) -> bool { + // I tried a case distinction on p, but there was no performance difference. + pow5_factor(value) >= p +} + +// Returns true if value is divisible by 2^p. +#[cfg_attr(feature = "no-panic", inline)] +pub fn multiple_of_power_of_2(value: u64, p: u32) -> bool { + debug_assert!(value != 0); + debug_assert!(p < 64); + // __builtin_ctzll doesn't appear to be faster here. + (value & ((1u64 << p) - 1)) == 0 +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn mul_shift_64(m: u64, mul: &(u64, u64), j: u32) -> u64 { + let b0 = m as u128 * mul.0 as u128; + let b2 = m as u128 * mul.1 as u128; + (((b0 >> 64) + b2) >> (j - 64)) as u64 +} + +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn mul_shift_all_64( + m: u64, + mul: &(u64, u64), + j: u32, + vp: *mut u64, + vm: *mut u64, + mm_shift: u32, +) -> u64 { + ptr::write(vp, mul_shift_64(4 * m + 2, mul, j)); + ptr::write(vm, mul_shift_64(4 * m - 1 - mm_shift as u64, mul, j)); + mul_shift_64(4 * m, mul, j) +} diff --git a/third_party/rust/ryu/src/d2s_small_table.rs b/third_party/rust/ryu/src/d2s_small_table.rs new file mode 100644 index 0000000000..262fc04f94 --- /dev/null +++ b/third_party/rust/ryu/src/d2s_small_table.rs @@ -0,0 +1,142 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +use crate::common::*; + +pub static DOUBLE_POW5_INV_SPLIT2: [(u64, u64); 15] = [ + (1, 2305843009213693952), + (5955668970331000884, 1784059615882449851), + (8982663654677661702, 1380349269358112757), + (7286864317269821294, 2135987035920910082), + (7005857020398200553, 1652639921975621497), + (17965325103354776697, 1278668206209430417), + (8928596168509315048, 1978643211784836272), + (10075671573058298858, 1530901034580419511), + (597001226353042382, 1184477304306571148), + (1527430471115325346, 1832889850782397517), + (12533209867169019542, 1418129833677084982), + (5577825024675947042, 2194449627517475473), + (11006974540203867551, 1697873161311732311), + (10313493231639821582, 1313665730009899186), + (12701016819766672773, 2032799256770390445), +]; + +pub static POW5_INV_OFFSETS: [u32; 19] = [ + 0x54544554, 0x04055545, 0x10041000, 0x00400414, 0x40010000, 0x41155555, 0x00000454, 0x00010044, + 0x40000000, 0x44000041, 0x50454450, 0x55550054, 0x51655554, 0x40004000, 0x01000001, 0x00010500, + 0x51515411, 0x05555554, 0x00000000, +]; + +pub static DOUBLE_POW5_SPLIT2: [(u64, u64); 13] = [ + (0, 1152921504606846976), + (0, 1490116119384765625), + (1032610780636961552, 1925929944387235853), + (7910200175544436838, 1244603055572228341), + (16941905809032713930, 1608611746708759036), + (13024893955298202172, 2079081953128979843), + (6607496772837067824, 1343575221513417750), + (17332926989895652603, 1736530273035216783), + (13037379183483547984, 2244412773384604712), + (1605989338741628675, 1450417759929778918), + (9630225068416591280, 1874621017369538693), + (665883850346957067, 1211445438634777304), + (14931890668723713708, 1565756531257009982), +]; + +pub static POW5_OFFSETS: [u32; 21] = [ + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000, 0x59695995, 0x55545555, 0x56555515, + 0x41150504, 0x40555410, 0x44555145, 0x44504540, 0x45555550, 0x40004000, 0x96440440, 0x55565565, + 0x54454045, 0x40154151, 0x55559155, 0x51405555, 0x00000105, +]; + +pub static DOUBLE_POW5_TABLE: [u64; 26] = [ + 1, + 5, + 25, + 125, + 625, + 3125, + 15625, + 78125, + 390625, + 1953125, + 9765625, + 48828125, + 244140625, + 1220703125, + 6103515625, + 30517578125, + 152587890625, + 762939453125, + 3814697265625, + 19073486328125, + 95367431640625, + 476837158203125, + 2384185791015625, + 11920928955078125, + 59604644775390625, + 298023223876953125, +]; + +// Computes 5^i in the form required by Ryū. +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn compute_pow5(i: u32) -> (u64, u64) { + let base = i / DOUBLE_POW5_TABLE.len() as u32; + let base2 = base * DOUBLE_POW5_TABLE.len() as u32; + let offset = i - base2; + debug_assert!(base < DOUBLE_POW5_SPLIT2.len() as u32); + let mul = *DOUBLE_POW5_SPLIT2.get_unchecked(base as usize); + if offset == 0 { + return mul; + } + debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); + let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); + let b0 = m as u128 * mul.0 as u128; + let b2 = m as u128 * mul.1 as u128; + let delta = pow5bits(i as i32) - pow5bits(base2 as i32); + debug_assert!(i / 16 < POW5_OFFSETS.len() as u32); + let shifted_sum = (b0 >> delta) + + (b2 << (64 - delta)) + + ((*POW5_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u128; + (shifted_sum as u64, (shifted_sum >> 64) as u64) +} + +// Computes 5^-i in the form required by Ryū. +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn compute_inv_pow5(i: u32) -> (u64, u64) { + let base = (i + DOUBLE_POW5_TABLE.len() as u32 - 1) / DOUBLE_POW5_TABLE.len() as u32; + let base2 = base * DOUBLE_POW5_TABLE.len() as u32; + let offset = base2 - i; + debug_assert!(base < DOUBLE_POW5_INV_SPLIT2.len() as u32); + let mul = *DOUBLE_POW5_INV_SPLIT2.get_unchecked(base as usize); // 1/5^base2 + if offset == 0 { + return mul; + } + debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); + let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); // 5^offset + let b0 = m as u128 * (mul.0 - 1) as u128; + let b2 = m as u128 * mul.1 as u128; // 1/5^base2 * 5^offset = 1/5^(base2-offset) = 1/5^i + let delta = pow5bits(base2 as i32) - pow5bits(i as i32); + debug_assert!(base < POW5_INV_OFFSETS.len() as u32); + let shifted_sum = ((b0 >> delta) + (b2 << (64 - delta))) + + 1 + + ((*POW5_INV_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u128; + (shifted_sum as u64, (shifted_sum >> 64) as u64) +} diff --git a/third_party/rust/ryu/src/digit_table.rs b/third_party/rust/ryu/src/digit_table.rs new file mode 100644 index 0000000000..d871f03f77 --- /dev/null +++ b/third_party/rust/ryu/src/digit_table.rs @@ -0,0 +1,28 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +// A table of all two-digit numbers. This is used to speed up decimal digit +// generation by copying pairs of digits into the final output. +pub static DIGIT_TABLE: [u8; 200] = *b"\ + 0001020304050607080910111213141516171819\ + 2021222324252627282930313233343536373839\ + 4041424344454647484950515253545556575859\ + 6061626364656667686970717273747576777879\ + 8081828384858687888990919293949596979899"; diff --git a/third_party/rust/ryu/src/f2s.rs b/third_party/rust/ryu/src/f2s.rs new file mode 100644 index 0000000000..eeb457ac83 --- /dev/null +++ b/third_party/rust/ryu/src/f2s.rs @@ -0,0 +1,176 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +use crate::common::*; +use crate::f2s_intrinsics::*; + +pub const FLOAT_MANTISSA_BITS: u32 = 23; +pub const FLOAT_EXPONENT_BITS: u32 = 8; +const FLOAT_BIAS: i32 = 127; +pub use crate::f2s_intrinsics::{FLOAT_POW5_BITCOUNT, FLOAT_POW5_INV_BITCOUNT}; + +// A floating decimal representing m * 10^e. +pub struct FloatingDecimal32 { + pub mantissa: u32, + // Decimal exponent's range is -45 to 38 + // inclusive, and can fit in i16 if needed. + pub exponent: i32, +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn f2d(ieee_mantissa: u32, ieee_exponent: u32) -> FloatingDecimal32 { + let (e2, m2) = if ieee_exponent == 0 { + ( + // We subtract 2 so that the bounds computation has 2 additional bits. + 1 - FLOAT_BIAS - FLOAT_MANTISSA_BITS as i32 - 2, + ieee_mantissa, + ) + } else { + ( + ieee_exponent as i32 - FLOAT_BIAS - FLOAT_MANTISSA_BITS as i32 - 2, + (1u32 << FLOAT_MANTISSA_BITS) | ieee_mantissa, + ) + }; + let even = (m2 & 1) == 0; + let accept_bounds = even; + + // Step 2: Determine the interval of valid decimal representations. + let mv = 4 * m2; + let mp = 4 * m2 + 2; + // Implicit bool -> int conversion. True is 1, false is 0. + let mm_shift = (ieee_mantissa != 0 || ieee_exponent <= 1) as u32; + let mm = 4 * m2 - 1 - mm_shift; + + // Step 3: Convert to a decimal power base using 64-bit arithmetic. + let mut vr: u32; + let mut vp: u32; + let mut vm: u32; + let e10: i32; + let mut vm_is_trailing_zeros = false; + let mut vr_is_trailing_zeros = false; + let mut last_removed_digit = 0u8; + if e2 >= 0 { + let q = log10_pow2(e2); + e10 = q as i32; + let k = FLOAT_POW5_INV_BITCOUNT + pow5bits(q as i32) - 1; + let i = -e2 + q as i32 + k; + vr = mul_pow5_inv_div_pow2(mv, q, i); + vp = mul_pow5_inv_div_pow2(mp, q, i); + vm = mul_pow5_inv_div_pow2(mm, q, i); + if q != 0 && (vp - 1) / 10 <= vm / 10 { + // We need to know one removed digit even if we are not going to loop below. We could use + // q = X - 1 above, except that would require 33 bits for the result, and we've found that + // 32-bit arithmetic is faster even on 64-bit machines. + let l = FLOAT_POW5_INV_BITCOUNT + pow5bits(q as i32 - 1) - 1; + last_removed_digit = + (mul_pow5_inv_div_pow2(mv, q - 1, -e2 + q as i32 - 1 + l) % 10) as u8; + } + if q <= 9 { + // The largest power of 5 that fits in 24 bits is 5^10, but q <= 9 seems to be safe as well. + // Only one of mp, mv, and mm can be a multiple of 5, if any. + if mv % 5 == 0 { + vr_is_trailing_zeros = multiple_of_power_of_5_32(mv, q); + } else if accept_bounds { + vm_is_trailing_zeros = multiple_of_power_of_5_32(mm, q); + } else { + vp -= multiple_of_power_of_5_32(mp, q) as u32; + } + } + } else { + let q = log10_pow5(-e2); + e10 = q as i32 + e2; + let i = -e2 - q as i32; + let k = pow5bits(i) - FLOAT_POW5_BITCOUNT; + let mut j = q as i32 - k; + vr = mul_pow5_div_pow2(mv, i as u32, j); + vp = mul_pow5_div_pow2(mp, i as u32, j); + vm = mul_pow5_div_pow2(mm, i as u32, j); + if q != 0 && (vp - 1) / 10 <= vm / 10 { + j = q as i32 - 1 - (pow5bits(i + 1) - FLOAT_POW5_BITCOUNT); + last_removed_digit = (mul_pow5_div_pow2(mv, (i + 1) as u32, j) % 10) as u8; + } + if q <= 1 { + // {vr,vp,vm} is trailing zeros if {mv,mp,mm} has at least q trailing 0 bits. + // mv = 4 * m2, so it always has at least two trailing 0 bits. + vr_is_trailing_zeros = true; + if accept_bounds { + // mm = mv - 1 - mm_shift, so it has 1 trailing 0 bit iff mm_shift == 1. + vm_is_trailing_zeros = mm_shift == 1; + } else { + // mp = mv + 2, so it always has at least one trailing 0 bit. + vp -= 1; + } + } else if q < 31 { + // TODO(ulfjack): Use a tighter bound here. + vr_is_trailing_zeros = multiple_of_power_of_2_32(mv, q - 1); + } + } + + // Step 4: Find the shortest decimal representation in the interval of valid representations. + let mut removed = 0i32; + let output = if vm_is_trailing_zeros || vr_is_trailing_zeros { + // General case, which happens rarely (~4.0%). + while vp / 10 > vm / 10 { + vm_is_trailing_zeros &= vm - (vm / 10) * 10 == 0; + vr_is_trailing_zeros &= last_removed_digit == 0; + last_removed_digit = (vr % 10) as u8; + vr /= 10; + vp /= 10; + vm /= 10; + removed += 1; + } + if vm_is_trailing_zeros { + while vm % 10 == 0 { + vr_is_trailing_zeros &= last_removed_digit == 0; + last_removed_digit = (vr % 10) as u8; + vr /= 10; + vp /= 10; + vm /= 10; + removed += 1; + } + } + if vr_is_trailing_zeros && last_removed_digit == 5 && vr % 2 == 0 { + // Round even if the exact number is .....50..0. + last_removed_digit = 4; + } + // We need to take vr + 1 if vr is outside bounds or we need to round up. + vr + ((vr == vm && (!accept_bounds || !vm_is_trailing_zeros)) || last_removed_digit >= 5) + as u32 + } else { + // Specialized for the common case (~96.0%). Percentages below are relative to this. + // Loop iterations below (approximately): + // 0: 13.6%, 1: 70.7%, 2: 14.1%, 3: 1.39%, 4: 0.14%, 5+: 0.01% + while vp / 10 > vm / 10 { + last_removed_digit = (vr % 10) as u8; + vr /= 10; + vp /= 10; + vm /= 10; + removed += 1; + } + // We need to take vr + 1 if vr is outside bounds or we need to round up. + vr + (vr == vm || last_removed_digit >= 5) as u32 + }; + let exp = e10 + removed; + + FloatingDecimal32 { + exponent: exp, + mantissa: output, + } +} diff --git a/third_party/rust/ryu/src/f2s_intrinsics.rs b/third_party/rust/ryu/src/f2s_intrinsics.rs new file mode 100644 index 0000000000..1a352189c8 --- /dev/null +++ b/third_party/rust/ryu/src/f2s_intrinsics.rs @@ -0,0 +1,113 @@ +// Translated from C to Rust. The original C code can be found at +// https://github.com/ulfjack/ryu and carries the following license: +// +// Copyright 2018 Ulf Adams +// +// The contents of this file may be used under the terms of the Apache License, +// Version 2.0. +// +// (See accompanying file LICENSE-Apache or copy at +// http://www.apache.org/licenses/LICENSE-2.0) +// +// Alternatively, the contents of this file may be used under the terms of +// the Boost Software License, Version 1.0. +// (See accompanying file LICENSE-Boost or copy at +// https://www.boost.org/LICENSE_1_0.txt) +// +// Unless required by applicable law or agreed to in writing, this software +// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY +// KIND, either express or implied. + +use crate::d2s; + +pub const FLOAT_POW5_INV_BITCOUNT: i32 = d2s::DOUBLE_POW5_INV_BITCOUNT - 64; +pub const FLOAT_POW5_BITCOUNT: i32 = d2s::DOUBLE_POW5_BITCOUNT - 64; + +#[cfg_attr(feature = "no-panic", inline)] +fn pow5factor_32(mut value: u32) -> u32 { + let mut count = 0u32; + loop { + debug_assert!(value != 0); + let q = value / 5; + let r = value % 5; + if r != 0 { + break; + } + value = q; + count += 1; + } + count +} + +// Returns true if value is divisible by 5^p. +#[cfg_attr(feature = "no-panic", inline)] +pub fn multiple_of_power_of_5_32(value: u32, p: u32) -> bool { + pow5factor_32(value) >= p +} + +// Returns true if value is divisible by 2^p. +#[cfg_attr(feature = "no-panic", inline)] +pub fn multiple_of_power_of_2_32(value: u32, p: u32) -> bool { + // __builtin_ctz doesn't appear to be faster here. + (value & ((1u32 << p) - 1)) == 0 +} + +// It seems to be slightly faster to avoid uint128_t here, although the +// generated code for uint128_t looks slightly nicer. +#[cfg_attr(feature = "no-panic", inline)] +fn mul_shift_32(m: u32, factor: u64, shift: i32) -> u32 { + debug_assert!(shift > 32); + + // The casts here help MSVC to avoid calls to the __allmul library + // function. + let factor_lo = factor as u32; + let factor_hi = (factor >> 32) as u32; + let bits0 = m as u64 * factor_lo as u64; + let bits1 = m as u64 * factor_hi as u64; + + let sum = (bits0 >> 32) + bits1; + let shifted_sum = sum >> (shift - 32); + debug_assert!(shifted_sum <= u32::max_value() as u64); + shifted_sum as u32 +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn mul_pow5_inv_div_pow2(m: u32, q: u32, j: i32) -> u32 { + #[cfg(feature = "small")] + { + // The inverse multipliers are defined as [2^x / 5^y] + 1; the upper 64 + // bits from the double lookup table are the correct bits for [2^x / + // 5^y], so we have to add 1 here. Note that we rely on the fact that + // the added 1 that's already stored in the table never overflows into + // the upper 64 bits. + let pow5 = unsafe { d2s::compute_inv_pow5(q) }; + mul_shift_32(m, pow5.1 + 1, j) + } + + #[cfg(not(feature = "small"))] + { + debug_assert!(q < d2s::DOUBLE_POW5_INV_SPLIT.len() as u32); + unsafe { + mul_shift_32( + m, + d2s::DOUBLE_POW5_INV_SPLIT.get_unchecked(q as usize).1 + 1, + j, + ) + } + } +} + +#[cfg_attr(feature = "no-panic", inline)] +pub fn mul_pow5_div_pow2(m: u32, i: u32, j: i32) -> u32 { + #[cfg(feature = "small")] + { + let pow5 = unsafe { d2s::compute_pow5(i) }; + mul_shift_32(m, pow5.1, j) + } + + #[cfg(not(feature = "small"))] + { + debug_assert!(i < d2s::DOUBLE_POW5_SPLIT.len() as u32); + unsafe { mul_shift_32(m, d2s::DOUBLE_POW5_SPLIT.get_unchecked(i as usize).1, j) } + } +} diff --git a/third_party/rust/ryu/src/lib.rs b/third_party/rust/ryu/src/lib.rs new file mode 100644 index 0000000000..59e0dcd0cb --- /dev/null +++ b/third_party/rust/ryu/src/lib.rs @@ -0,0 +1,123 @@ +//! [![github]](https://github.com/dtolnay/ryu) [![crates-io]](https://crates.io/crates/ryu) [![docs-rs]](https://docs.rs/ryu) +//! +//! [github]: https://img.shields.io/badge/github-8da0cb?style=for-the-badge&labelColor=555555&logo=github +//! [crates-io]: https://img.shields.io/badge/crates.io-fc8d62?style=for-the-badge&labelColor=555555&logo=rust +//! [docs-rs]: https://img.shields.io/badge/docs.rs-66c2a5?style=for-the-badge&labelColor=555555&logo=docs.rs +//! +//! <br> +//! +//! Pure Rust implementation of Ryū, an algorithm to quickly convert floating +//! point numbers to decimal strings. +//! +//! The PLDI'18 paper [*Ryū: fast float-to-string conversion*][paper] by Ulf +//! Adams includes a complete correctness proof of the algorithm. The paper is +//! available under the creative commons CC-BY-SA license. +//! +//! This Rust implementation is a line-by-line port of Ulf Adams' implementation +//! in C, [https://github.com/ulfjack/ryu][upstream]. +//! +//! [paper]: https://dl.acm.org/citation.cfm?id=3192369 +//! [upstream]: https://github.com/ulfjack/ryu +//! +//! # Example +//! +//! ``` +//! fn main() { +//! let mut buffer = ryu::Buffer::new(); +//! let printed = buffer.format(1.234); +//! assert_eq!(printed, "1.234"); +//! } +//! ``` +//! +//! ## Performance (lower is better) +//! +//! ![performance](https://raw.githubusercontent.com/dtolnay/ryu/master/performance.png) +//! +//! You can run upstream's benchmarks with: +//! +//! ```console +//! $ git clone https://github.com/ulfjack/ryu c-ryu +//! $ cd c-ryu +//! $ bazel run -c opt //ryu/benchmark +//! ``` +//! +//! And the same benchmark against our implementation with: +//! +//! ```console +//! $ git clone https://github.com/dtolnay/ryu rust-ryu +//! $ cd rust-ryu +//! $ cargo run --example upstream_benchmark --release +//! ``` +//! +//! These benchmarks measure the average time to print a 32-bit float and average +//! time to print a 64-bit float, where the inputs are distributed as uniform random +//! bit patterns 32 and 64 bits wide. +//! +//! The upstream C code, the unsafe direct Rust port, and the safe pretty Rust API +//! all perform the same, taking around 21 nanoseconds to format a 32-bit float and +//! 31 nanoseconds to format a 64-bit float. +//! +//! There is also a Rust-specific benchmark comparing this implementation to the +//! standard library which you can run with: +//! +//! ```console +//! $ cargo bench +//! ``` +//! +//! The benchmark shows Ryū approximately 2-5x faster than the standard library +//! across a range of f32 and f64 inputs. Measurements are in nanoseconds per +//! iteration; smaller is better. +//! +//! ## Formatting +//! +//! This library tends to produce more human-readable output than the standard +//! library's to\_string, which never uses scientific notation. Here are two +//! examples: +//! +//! - *ryu:* 1.23e40, *std:* 12300000000000000000000000000000000000000 +//! - *ryu:* 1.23e-40, *std:* 0.000000000000000000000000000000000000000123 +//! +//! Both libraries print short decimals such as 0.0000123 without scientific +//! notation. + +#![no_std] +#![doc(html_root_url = "https://docs.rs/ryu/1.0.12")] +#![allow( + clippy::cast_lossless, + clippy::cast_possible_truncation, + clippy::cast_possible_wrap, + clippy::cast_sign_loss, + clippy::checked_conversions, + clippy::doc_markdown, + clippy::expl_impl_clone_on_copy, + clippy::if_not_else, + clippy::many_single_char_names, + clippy::missing_panics_doc, + clippy::module_name_repetitions, + clippy::must_use_candidate, + clippy::similar_names, + clippy::too_many_lines, + clippy::unreadable_literal, + clippy::unseparated_literal_suffix, + clippy::wildcard_imports +)] + +mod buffer; +mod common; +mod d2s; +#[cfg(not(feature = "small"))] +mod d2s_full_table; +mod d2s_intrinsics; +#[cfg(feature = "small")] +mod d2s_small_table; +mod digit_table; +mod f2s; +mod f2s_intrinsics; +mod pretty; + +pub use crate::buffer::{Buffer, Float}; + +/// Unsafe functions that mirror the API of the C implementation of Ryū. +pub mod raw { + pub use crate::pretty::{format32, format64}; +} diff --git a/third_party/rust/ryu/src/parse.rs b/third_party/rust/ryu/src/parse.rs new file mode 100644 index 0000000000..00f7983699 --- /dev/null +++ b/third_party/rust/ryu/src/parse.rs @@ -0,0 +1,19 @@ +use core::fmt::{self, Display}; + +#[derive(Copy, Clone, Debug)] +pub enum Error { + InputTooShort, + InputTooLong, + MalformedInput, +} + +impl Display for Error { + fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result { + let msg = match self { + Error::InputTooShort => "input too short", + Error::InputTooLong => "input too long", + Error::MalformedInput => "malformed input", + }; + formatter.write_str(msg) + } +} diff --git a/third_party/rust/ryu/src/pretty/exponent.rs b/third_party/rust/ryu/src/pretty/exponent.rs new file mode 100644 index 0000000000..b72add5e82 --- /dev/null +++ b/third_party/rust/ryu/src/pretty/exponent.rs @@ -0,0 +1,48 @@ +use crate::digit_table::*; +use core::ptr; + +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn write_exponent3(mut k: isize, mut result: *mut u8) -> usize { + let sign = k < 0; + if sign { + *result = b'-'; + result = result.offset(1); + k = -k; + } + + debug_assert!(k < 1000); + if k >= 100 { + *result = b'0' + (k / 100) as u8; + k %= 100; + let d = DIGIT_TABLE.as_ptr().offset(k * 2); + ptr::copy_nonoverlapping(d, result.offset(1), 2); + sign as usize + 3 + } else if k >= 10 { + let d = DIGIT_TABLE.as_ptr().offset(k * 2); + ptr::copy_nonoverlapping(d, result, 2); + sign as usize + 2 + } else { + *result = b'0' + k as u8; + sign as usize + 1 + } +} + +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn write_exponent2(mut k: isize, mut result: *mut u8) -> usize { + let sign = k < 0; + if sign { + *result = b'-'; + result = result.offset(1); + k = -k; + } + + debug_assert!(k < 100); + if k >= 10 { + let d = DIGIT_TABLE.as_ptr().offset(k * 2); + ptr::copy_nonoverlapping(d, result, 2); + sign as usize + 2 + } else { + *result = b'0' + k as u8; + sign as usize + 1 + } +} diff --git a/third_party/rust/ryu/src/pretty/mantissa.rs b/third_party/rust/ryu/src/pretty/mantissa.rs new file mode 100644 index 0000000000..0149f5cffe --- /dev/null +++ b/third_party/rust/ryu/src/pretty/mantissa.rs @@ -0,0 +1,82 @@ +use crate::digit_table::*; +use core::ptr; + +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn write_mantissa_long(mut output: u64, mut result: *mut u8) { + if (output >> 32) != 0 { + // One expensive 64-bit division. + let mut output2 = (output - 100_000_000 * (output / 100_000_000)) as u32; + output /= 100_000_000; + + let c = output2 % 10_000; + output2 /= 10_000; + let d = output2 % 10_000; + let c0 = (c % 100) << 1; + let c1 = (c / 100) << 1; + let d0 = (d % 100) << 1; + let d1 = (d / 100) << 1; + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c0 as isize), + result.offset(-2), + 2, + ); + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c1 as isize), + result.offset(-4), + 2, + ); + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(d0 as isize), + result.offset(-6), + 2, + ); + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(d1 as isize), + result.offset(-8), + 2, + ); + result = result.offset(-8); + } + write_mantissa(output as u32, result); +} + +#[cfg_attr(feature = "no-panic", inline)] +pub unsafe fn write_mantissa(mut output: u32, mut result: *mut u8) { + while output >= 10_000 { + let c = output - 10_000 * (output / 10_000); + output /= 10_000; + let c0 = (c % 100) << 1; + let c1 = (c / 100) << 1; + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c0 as isize), + result.offset(-2), + 2, + ); + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c1 as isize), + result.offset(-4), + 2, + ); + result = result.offset(-4); + } + if output >= 100 { + let c = (output % 100) << 1; + output /= 100; + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c as isize), + result.offset(-2), + 2, + ); + result = result.offset(-2); + } + if output >= 10 { + let c = output << 1; + ptr::copy_nonoverlapping( + DIGIT_TABLE.as_ptr().offset(c as isize), + result.offset(-2), + 2, + ); + } else { + *result.offset(-1) = b'0' + output as u8; + } +} diff --git a/third_party/rust/ryu/src/pretty/mod.rs b/third_party/rust/ryu/src/pretty/mod.rs new file mode 100644 index 0000000000..da49e863e5 --- /dev/null +++ b/third_party/rust/ryu/src/pretty/mod.rs @@ -0,0 +1,224 @@ +mod exponent; +mod mantissa; + +use self::exponent::*; +use self::mantissa::*; +use crate::common; +use crate::d2s::{self, *}; +use crate::f2s::*; +use core::ptr; +#[cfg(feature = "no-panic")] +use no_panic::no_panic; + +/// Print f64 to the given buffer and return number of bytes written. +/// +/// At most 24 bytes will be written. +/// +/// ## Special cases +/// +/// This function **does not** check for NaN or infinity. If the input +/// number is not a finite float, the printed representation will be some +/// correctly formatted but unspecified numerical value. +/// +/// Please check [`is_finite`] yourself before calling this function, or +/// check [`is_nan`] and [`is_infinite`] and handle those cases yourself. +/// +/// [`is_finite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_finite +/// [`is_nan`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_nan +/// [`is_infinite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_infinite +/// +/// ## Safety +/// +/// The `result` pointer argument must point to sufficiently many writable bytes +/// to hold Ryū's representation of `f`. +/// +/// ## Example +/// +/// ``` +/// use std::{mem::MaybeUninit, slice, str}; +/// +/// let f = 1.234f64; +/// +/// unsafe { +/// let mut buffer = [MaybeUninit::<u8>::uninit(); 24]; +/// let len = ryu::raw::format64(f, buffer.as_mut_ptr() as *mut u8); +/// let slice = slice::from_raw_parts(buffer.as_ptr() as *const u8, len); +/// let print = str::from_utf8_unchecked(slice); +/// assert_eq!(print, "1.234"); +/// } +/// ``` +#[must_use] +#[cfg_attr(feature = "no-panic", no_panic)] +pub unsafe fn format64(f: f64, result: *mut u8) -> usize { + let bits = f.to_bits(); + let sign = ((bits >> (DOUBLE_MANTISSA_BITS + DOUBLE_EXPONENT_BITS)) & 1) != 0; + let ieee_mantissa = bits & ((1u64 << DOUBLE_MANTISSA_BITS) - 1); + let ieee_exponent = + (bits >> DOUBLE_MANTISSA_BITS) as u32 & ((1u32 << DOUBLE_EXPONENT_BITS) - 1); + + let mut index = 0isize; + if sign { + *result = b'-'; + index += 1; + } + + if ieee_exponent == 0 && ieee_mantissa == 0 { + ptr::copy_nonoverlapping(b"0.0".as_ptr(), result.offset(index), 3); + return sign as usize + 3; + } + + let v = d2d(ieee_mantissa, ieee_exponent); + + let length = d2s::decimal_length17(v.mantissa) as isize; + let k = v.exponent as isize; + let kk = length + k; // 10^(kk-1) <= v < 10^kk + debug_assert!(k >= -324); + + if 0 <= k && kk <= 16 { + // 1234e7 -> 12340000000.0 + write_mantissa_long(v.mantissa, result.offset(index + length)); + for i in length..kk { + *result.offset(index + i) = b'0'; + } + *result.offset(index + kk) = b'.'; + *result.offset(index + kk + 1) = b'0'; + index as usize + kk as usize + 2 + } else if 0 < kk && kk <= 16 { + // 1234e-2 -> 12.34 + write_mantissa_long(v.mantissa, result.offset(index + length + 1)); + ptr::copy(result.offset(index + 1), result.offset(index), kk as usize); + *result.offset(index + kk) = b'.'; + index as usize + length as usize + 1 + } else if -5 < kk && kk <= 0 { + // 1234e-6 -> 0.001234 + *result.offset(index) = b'0'; + *result.offset(index + 1) = b'.'; + let offset = 2 - kk; + for i in 2..offset { + *result.offset(index + i) = b'0'; + } + write_mantissa_long(v.mantissa, result.offset(index + length + offset)); + index as usize + length as usize + offset as usize + } else if length == 1 { + // 1e30 + *result.offset(index) = b'0' + v.mantissa as u8; + *result.offset(index + 1) = b'e'; + index as usize + 2 + write_exponent3(kk - 1, result.offset(index + 2)) + } else { + // 1234e30 -> 1.234e33 + write_mantissa_long(v.mantissa, result.offset(index + length + 1)); + *result.offset(index) = *result.offset(index + 1); + *result.offset(index + 1) = b'.'; + *result.offset(index + length + 1) = b'e'; + index as usize + + length as usize + + 2 + + write_exponent3(kk - 1, result.offset(index + length + 2)) + } +} + +/// Print f32 to the given buffer and return number of bytes written. +/// +/// At most 16 bytes will be written. +/// +/// ## Special cases +/// +/// This function **does not** check for NaN or infinity. If the input +/// number is not a finite float, the printed representation will be some +/// correctly formatted but unspecified numerical value. +/// +/// Please check [`is_finite`] yourself before calling this function, or +/// check [`is_nan`] and [`is_infinite`] and handle those cases yourself. +/// +/// [`is_finite`]: https://doc.rust-lang.org/std/primitive.f32.html#method.is_finite +/// [`is_nan`]: https://doc.rust-lang.org/std/primitive.f32.html#method.is_nan +/// [`is_infinite`]: https://doc.rust-lang.org/std/primitive.f32.html#method.is_infinite +/// +/// ## Safety +/// +/// The `result` pointer argument must point to sufficiently many writable bytes +/// to hold Ryū's representation of `f`. +/// +/// ## Example +/// +/// ``` +/// use std::{mem::MaybeUninit, slice, str}; +/// +/// let f = 1.234f32; +/// +/// unsafe { +/// let mut buffer = [MaybeUninit::<u8>::uninit(); 16]; +/// let len = ryu::raw::format32(f, buffer.as_mut_ptr() as *mut u8); +/// let slice = slice::from_raw_parts(buffer.as_ptr() as *const u8, len); +/// let print = str::from_utf8_unchecked(slice); +/// assert_eq!(print, "1.234"); +/// } +/// ``` +#[must_use] +#[cfg_attr(feature = "no-panic", no_panic)] +pub unsafe fn format32(f: f32, result: *mut u8) -> usize { + let bits = f.to_bits(); + let sign = ((bits >> (FLOAT_MANTISSA_BITS + FLOAT_EXPONENT_BITS)) & 1) != 0; + let ieee_mantissa = bits & ((1u32 << FLOAT_MANTISSA_BITS) - 1); + let ieee_exponent = (bits >> FLOAT_MANTISSA_BITS) & ((1u32 << FLOAT_EXPONENT_BITS) - 1); + + let mut index = 0isize; + if sign { + *result = b'-'; + index += 1; + } + + if ieee_exponent == 0 && ieee_mantissa == 0 { + ptr::copy_nonoverlapping(b"0.0".as_ptr(), result.offset(index), 3); + return sign as usize + 3; + } + + let v = f2d(ieee_mantissa, ieee_exponent); + + let length = common::decimal_length9(v.mantissa) as isize; + let k = v.exponent as isize; + let kk = length + k; // 10^(kk-1) <= v < 10^kk + debug_assert!(k >= -45); + + if 0 <= k && kk <= 13 { + // 1234e7 -> 12340000000.0 + write_mantissa(v.mantissa, result.offset(index + length)); + for i in length..kk { + *result.offset(index + i) = b'0'; + } + *result.offset(index + kk) = b'.'; + *result.offset(index + kk + 1) = b'0'; + index as usize + kk as usize + 2 + } else if 0 < kk && kk <= 13 { + // 1234e-2 -> 12.34 + write_mantissa(v.mantissa, result.offset(index + length + 1)); + ptr::copy(result.offset(index + 1), result.offset(index), kk as usize); + *result.offset(index + kk) = b'.'; + index as usize + length as usize + 1 + } else if -6 < kk && kk <= 0 { + // 1234e-6 -> 0.001234 + *result.offset(index) = b'0'; + *result.offset(index + 1) = b'.'; + let offset = 2 - kk; + for i in 2..offset { + *result.offset(index + i) = b'0'; + } + write_mantissa(v.mantissa, result.offset(index + length + offset)); + index as usize + length as usize + offset as usize + } else if length == 1 { + // 1e30 + *result.offset(index) = b'0' + v.mantissa as u8; + *result.offset(index + 1) = b'e'; + index as usize + 2 + write_exponent2(kk - 1, result.offset(index + 2)) + } else { + // 1234e30 -> 1.234e33 + write_mantissa(v.mantissa, result.offset(index + length + 1)); + *result.offset(index) = *result.offset(index + 1); + *result.offset(index + 1) = b'.'; + *result.offset(index + length + 1) = b'e'; + index as usize + + length as usize + + 2 + + write_exponent2(kk - 1, result.offset(index + length + 2)) + } +} diff --git a/third_party/rust/ryu/src/s2d.rs b/third_party/rust/ryu/src/s2d.rs new file mode 100644 index 0000000000..152ca97aba --- /dev/null +++ b/third_party/rust/ryu/src/s2d.rs @@ -0,0 +1,217 @@ +use crate::common::*; +use crate::d2s; +use crate::d2s_intrinsics::*; +use crate::parse::Error; +#[cfg(feature = "no-panic")] +use no_panic::no_panic; + +const DOUBLE_EXPONENT_BIAS: usize = 1023; + +fn floor_log2(value: u64) -> u32 { + 63_u32.wrapping_sub(value.leading_zeros()) +} + +#[cfg_attr(feature = "no-panic", no_panic)] +pub fn s2d(buffer: &[u8]) -> Result<f64, Error> { + let len = buffer.len(); + if len == 0 { + return Err(Error::InputTooShort); + } + + let mut m10digits = 0; + let mut e10digits = 0; + let mut dot_index = len; + let mut e_index = len; + let mut m10 = 0u64; + let mut e10 = 0i32; + let mut signed_m = false; + let mut signed_e = false; + + let mut i = 0; + if unsafe { *buffer.get_unchecked(0) } == b'-' { + signed_m = true; + i += 1; + } + + while let Some(c) = buffer.get(i).copied() { + if c == b'.' { + if dot_index != len { + return Err(Error::MalformedInput); + } + dot_index = i; + i += 1; + continue; + } + if c < b'0' || c > b'9' { + break; + } + if m10digits >= 17 { + return Err(Error::InputTooLong); + } + m10 = 10 * m10 + (c - b'0') as u64; + if m10 != 0 { + m10digits += 1; + } + i += 1; + } + + if let Some(b'e') | Some(b'E') = buffer.get(i) { + e_index = i; + i += 1; + match buffer.get(i) { + Some(b'-') => { + signed_e = true; + i += 1; + } + Some(b'+') => i += 1, + _ => {} + } + while let Some(c) = buffer.get(i).copied() { + if c < b'0' || c > b'9' { + return Err(Error::MalformedInput); + } + if e10digits > 3 { + // TODO: Be more lenient. Return +/-Infinity or +/-0 instead. + return Err(Error::InputTooLong); + } + e10 = 10 * e10 + (c - b'0') as i32; + if e10 != 0 { + e10digits += 1; + } + i += 1; + } + } + + if i < len { + return Err(Error::MalformedInput); + } + if signed_e { + e10 = -e10; + } + e10 -= if dot_index < e_index { + (e_index - dot_index - 1) as i32 + } else { + 0 + }; + if m10 == 0 { + return Ok(if signed_m { -0.0 } else { 0.0 }); + } + + if m10digits + e10 <= -324 || m10 == 0 { + // Number is less than 1e-324, which should be rounded down to 0; return + // +/-0.0. + let ieee = (signed_m as u64) << (d2s::DOUBLE_EXPONENT_BITS + d2s::DOUBLE_MANTISSA_BITS); + return Ok(f64::from_bits(ieee)); + } + if m10digits + e10 >= 310 { + // Number is larger than 1e+309, which should be rounded to +/-Infinity. + let ieee = ((signed_m as u64) << (d2s::DOUBLE_EXPONENT_BITS + d2s::DOUBLE_MANTISSA_BITS)) + | (0x7ff_u64 << d2s::DOUBLE_MANTISSA_BITS); + return Ok(f64::from_bits(ieee)); + } + + // Convert to binary float m2 * 2^e2, while retaining information about + // whether the conversion was exact (trailing_zeros). + let e2: i32; + let m2: u64; + let mut trailing_zeros: bool; + if e10 >= 0 { + // The length of m * 10^e in bits is: + // log2(m10 * 10^e10) = log2(m10) + e10 log2(10) = log2(m10) + e10 + e10 * log2(5) + // + // We want to compute the DOUBLE_MANTISSA_BITS + 1 top-most bits (+1 for + // the implicit leading one in IEEE format). We therefore choose a + // binary output exponent of + // log2(m10 * 10^e10) - (DOUBLE_MANTISSA_BITS + 1). + // + // We use floor(log2(5^e10)) so that we get at least this many bits; + // better to have an additional bit than to not have enough bits. + e2 = floor_log2(m10) + .wrapping_add(e10 as u32) + .wrapping_add(log2_pow5(e10) as u32) + .wrapping_sub(d2s::DOUBLE_MANTISSA_BITS + 1) as i32; + + // We now compute [m10 * 10^e10 / 2^e2] = [m10 * 5^e10 / 2^(e2-e10)]. + // To that end, we use the DOUBLE_POW5_SPLIT table. + let j = e2 + .wrapping_sub(e10) + .wrapping_sub(ceil_log2_pow5(e10)) + .wrapping_add(d2s::DOUBLE_POW5_BITCOUNT); + debug_assert!(j >= 0); + debug_assert!(e10 < d2s::DOUBLE_POW5_SPLIT.len() as i32); + m2 = mul_shift_64( + m10, + unsafe { d2s::DOUBLE_POW5_SPLIT.get_unchecked(e10 as usize) }, + j as u32, + ); + + // We also compute if the result is exact, i.e., + // [m10 * 10^e10 / 2^e2] == m10 * 10^e10 / 2^e2. + // This can only be the case if 2^e2 divides m10 * 10^e10, which in turn + // requires that the largest power of 2 that divides m10 + e10 is + // greater than e2. If e2 is less than e10, then the result must be + // exact. Otherwise we use the existing multiple_of_power_of_2 function. + trailing_zeros = + e2 < e10 || e2 - e10 < 64 && multiple_of_power_of_2(m10, (e2 - e10) as u32); + } else { + e2 = floor_log2(m10) + .wrapping_add(e10 as u32) + .wrapping_sub(ceil_log2_pow5(-e10) as u32) + .wrapping_sub(d2s::DOUBLE_MANTISSA_BITS + 1) as i32; + let j = e2 + .wrapping_sub(e10) + .wrapping_add(ceil_log2_pow5(-e10)) + .wrapping_sub(1) + .wrapping_add(d2s::DOUBLE_POW5_INV_BITCOUNT); + debug_assert!(-e10 < d2s::DOUBLE_POW5_INV_SPLIT.len() as i32); + m2 = mul_shift_64( + m10, + unsafe { d2s::DOUBLE_POW5_INV_SPLIT.get_unchecked(-e10 as usize) }, + j as u32, + ); + trailing_zeros = multiple_of_power_of_5(m10, -e10 as u32); + } + + // Compute the final IEEE exponent. + let mut ieee_e2 = i32::max(0, e2 + DOUBLE_EXPONENT_BIAS as i32 + floor_log2(m2) as i32) as u32; + + if ieee_e2 > 0x7fe { + // Final IEEE exponent is larger than the maximum representable; return +/-Infinity. + let ieee = ((signed_m as u64) << (d2s::DOUBLE_EXPONENT_BITS + d2s::DOUBLE_MANTISSA_BITS)) + | (0x7ff_u64 << d2s::DOUBLE_MANTISSA_BITS); + return Ok(f64::from_bits(ieee)); + } + + // We need to figure out how much we need to shift m2. The tricky part is + // that we need to take the final IEEE exponent into account, so we need to + // reverse the bias and also special-case the value 0. + let shift = if ieee_e2 == 0 { 1 } else { ieee_e2 as i32 } + .wrapping_sub(e2) + .wrapping_sub(DOUBLE_EXPONENT_BIAS as i32) + .wrapping_sub(d2s::DOUBLE_MANTISSA_BITS as i32); + debug_assert!(shift >= 0); + + // We need to round up if the exact value is more than 0.5 above the value + // we computed. That's equivalent to checking if the last removed bit was 1 + // and either the value was not just trailing zeros or the result would + // otherwise be odd. + // + // We need to update trailing_zeros given that we have the exact output + // exponent ieee_e2 now. + trailing_zeros &= (m2 & ((1_u64 << (shift - 1)) - 1)) == 0; + let last_removed_bit = (m2 >> (shift - 1)) & 1; + let round_up = last_removed_bit != 0 && (!trailing_zeros || ((m2 >> shift) & 1) != 0); + + let mut ieee_m2 = (m2 >> shift).wrapping_add(round_up as u64); + debug_assert!(ieee_m2 <= 1_u64 << (d2s::DOUBLE_MANTISSA_BITS + 1)); + ieee_m2 &= (1_u64 << d2s::DOUBLE_MANTISSA_BITS) - 1; + if ieee_m2 == 0 && round_up { + // Due to how the IEEE represents +/-Infinity, we don't need to check + // for overflow here. + ieee_e2 += 1; + } + let ieee = ((((signed_m as u64) << d2s::DOUBLE_EXPONENT_BITS) | ieee_e2 as u64) + << d2s::DOUBLE_MANTISSA_BITS) + | ieee_m2; + Ok(f64::from_bits(ieee)) +} diff --git a/third_party/rust/ryu/src/s2f.rs b/third_party/rust/ryu/src/s2f.rs new file mode 100644 index 0000000000..959352815d --- /dev/null +++ b/third_party/rust/ryu/src/s2f.rs @@ -0,0 +1,227 @@ +use crate::common::*; +use crate::f2s; +use crate::f2s_intrinsics::*; +use crate::parse::Error; +#[cfg(feature = "no-panic")] +use no_panic::no_panic; + +const FLOAT_EXPONENT_BIAS: usize = 127; + +fn floor_log2(value: u32) -> u32 { + 31_u32.wrapping_sub(value.leading_zeros()) +} + +#[cfg_attr(feature = "no-panic", no_panic)] +pub fn s2f(buffer: &[u8]) -> Result<f32, Error> { + let len = buffer.len(); + if len == 0 { + return Err(Error::InputTooShort); + } + + let mut m10digits = 0; + let mut e10digits = 0; + let mut dot_index = len; + let mut e_index = len; + let mut m10 = 0u32; + let mut e10 = 0i32; + let mut signed_m = false; + let mut signed_e = false; + + let mut i = 0; + if unsafe { *buffer.get_unchecked(0) } == b'-' { + signed_m = true; + i += 1; + } + + while let Some(c) = buffer.get(i).copied() { + if c == b'.' { + if dot_index != len { + return Err(Error::MalformedInput); + } + dot_index = i; + i += 1; + continue; + } + if c < b'0' || c > b'9' { + break; + } + if m10digits >= 9 { + return Err(Error::InputTooLong); + } + m10 = 10 * m10 + (c - b'0') as u32; + if m10 != 0 { + m10digits += 1; + } + i += 1; + } + + if let Some(b'e') | Some(b'E') = buffer.get(i) { + e_index = i; + i += 1; + match buffer.get(i) { + Some(b'-') => { + signed_e = true; + i += 1; + } + Some(b'+') => i += 1, + _ => {} + } + while let Some(c) = buffer.get(i).copied() { + if c < b'0' || c > b'9' { + return Err(Error::MalformedInput); + } + if e10digits > 3 { + // TODO: Be more lenient. Return +/-Infinity or +/-0 instead. + return Err(Error::InputTooLong); + } + e10 = 10 * e10 + (c - b'0') as i32; + if e10 != 0 { + e10digits += 1; + } + i += 1; + } + } + + if i < len { + return Err(Error::MalformedInput); + } + if signed_e { + e10 = -e10; + } + e10 -= if dot_index < e_index { + (e_index - dot_index - 1) as i32 + } else { + 0 + }; + if m10 == 0 { + return Ok(if signed_m { -0.0 } else { 0.0 }); + } + + if m10digits + e10 <= -46 || m10 == 0 { + // Number is less than 1e-46, which should be rounded down to 0; return + // +/-0.0. + let ieee = (signed_m as u32) << (f2s::FLOAT_EXPONENT_BITS + f2s::FLOAT_MANTISSA_BITS); + return Ok(f32::from_bits(ieee)); + } + if m10digits + e10 >= 40 { + // Number is larger than 1e+39, which should be rounded to +/-Infinity. + let ieee = ((signed_m as u32) << (f2s::FLOAT_EXPONENT_BITS + f2s::FLOAT_MANTISSA_BITS)) + | (0xff_u32 << f2s::FLOAT_MANTISSA_BITS); + return Ok(f32::from_bits(ieee)); + } + + // Convert to binary float m2 * 2^e2, while retaining information about + // whether the conversion was exact (trailing_zeros). + let e2: i32; + let m2: u32; + let mut trailing_zeros: bool; + if e10 >= 0 { + // The length of m * 10^e in bits is: + // log2(m10 * 10^e10) = log2(m10) + e10 log2(10) = log2(m10) + e10 + e10 * log2(5) + // + // We want to compute the FLOAT_MANTISSA_BITS + 1 top-most bits (+1 for + // the implicit leading one in IEEE format). We therefore choose a + // binary output exponent of + // log2(m10 * 10^e10) - (FLOAT_MANTISSA_BITS + 1). + // + // We use floor(log2(5^e10)) so that we get at least this many bits; better to + // have an additional bit than to not have enough bits. + e2 = floor_log2(m10) + .wrapping_add(e10 as u32) + .wrapping_add(log2_pow5(e10) as u32) + .wrapping_sub(f2s::FLOAT_MANTISSA_BITS + 1) as i32; + + // We now compute [m10 * 10^e10 / 2^e2] = [m10 * 5^e10 / 2^(e2-e10)]. + // To that end, we use the FLOAT_POW5_SPLIT table. + let j = e2 + .wrapping_sub(e10) + .wrapping_sub(ceil_log2_pow5(e10)) + .wrapping_add(f2s::FLOAT_POW5_BITCOUNT); + debug_assert!(j >= 0); + m2 = mul_pow5_div_pow2(m10, e10 as u32, j); + + // We also compute if the result is exact, i.e., + // [m10 * 10^e10 / 2^e2] == m10 * 10^e10 / 2^e2. + // This can only be the case if 2^e2 divides m10 * 10^e10, which in turn + // requires that the largest power of 2 that divides m10 + e10 is + // greater than e2. If e2 is less than e10, then the result must be + // exact. Otherwise we use the existing multiple_of_power_of_2 function. + trailing_zeros = + e2 < e10 || e2 - e10 < 32 && multiple_of_power_of_2_32(m10, (e2 - e10) as u32); + } else { + e2 = floor_log2(m10) + .wrapping_add(e10 as u32) + .wrapping_sub(ceil_log2_pow5(-e10) as u32) + .wrapping_sub(f2s::FLOAT_MANTISSA_BITS + 1) as i32; + + // We now compute [m10 * 10^e10 / 2^e2] = [m10 / (5^(-e10) 2^(e2-e10))]. + let j = e2 + .wrapping_sub(e10) + .wrapping_add(ceil_log2_pow5(-e10)) + .wrapping_sub(1) + .wrapping_add(f2s::FLOAT_POW5_INV_BITCOUNT); + m2 = mul_pow5_inv_div_pow2(m10, -e10 as u32, j); + + // We also compute if the result is exact, i.e., + // [m10 / (5^(-e10) 2^(e2-e10))] == m10 / (5^(-e10) 2^(e2-e10)) + // + // If e2-e10 >= 0, we need to check whether (5^(-e10) 2^(e2-e10)) + // divides m10, which is the case iff pow5(m10) >= -e10 AND pow2(m10) >= + // e2-e10. + // + // If e2-e10 < 0, we have actually computed [m10 * 2^(e10 e2) / + // 5^(-e10)] above, and we need to check whether 5^(-e10) divides (m10 * + // 2^(e10-e2)), which is the case iff pow5(m10 * 2^(e10-e2)) = pow5(m10) + // >= -e10. + trailing_zeros = (e2 < e10 + || (e2 - e10 < 32 && multiple_of_power_of_2_32(m10, (e2 - e10) as u32))) + && multiple_of_power_of_5_32(m10, -e10 as u32); + } + + // Compute the final IEEE exponent. + let mut ieee_e2 = i32::max(0, e2 + FLOAT_EXPONENT_BIAS as i32 + floor_log2(m2) as i32) as u32; + + if ieee_e2 > 0xfe { + // Final IEEE exponent is larger than the maximum representable; return + // +/-Infinity. + let ieee = ((signed_m as u32) << (f2s::FLOAT_EXPONENT_BITS + f2s::FLOAT_MANTISSA_BITS)) + | (0xff_u32 << f2s::FLOAT_MANTISSA_BITS); + return Ok(f32::from_bits(ieee)); + } + + // We need to figure out how much we need to shift m2. The tricky part is + // that we need to take the final IEEE exponent into account, so we need to + // reverse the bias and also special-case the value 0. + let shift = if ieee_e2 == 0 { 1 } else { ieee_e2 as i32 } + .wrapping_sub(e2) + .wrapping_sub(FLOAT_EXPONENT_BIAS as i32) + .wrapping_sub(f2s::FLOAT_MANTISSA_BITS as i32); + debug_assert!(shift >= 0); + + // We need to round up if the exact value is more than 0.5 above the value + // we computed. That's equivalent to checking if the last removed bit was 1 + // and either the value was not just trailing zeros or the result would + // otherwise be odd. + // + // We need to update trailing_zeros given that we have the exact output + // exponent ieee_e2 now. + trailing_zeros &= (m2 & ((1_u32 << (shift - 1)) - 1)) == 0; + let last_removed_bit = (m2 >> (shift - 1)) & 1; + let round_up = last_removed_bit != 0 && (!trailing_zeros || ((m2 >> shift) & 1) != 0); + + let mut ieee_m2 = (m2 >> shift).wrapping_add(round_up as u32); + debug_assert!(ieee_m2 <= 1_u32 << (f2s::FLOAT_MANTISSA_BITS + 1)); + ieee_m2 &= (1_u32 << f2s::FLOAT_MANTISSA_BITS) - 1; + if ieee_m2 == 0 && round_up { + // Rounding up may overflow the mantissa. + // In this case we move a trailing zero of the mantissa into the + // exponent. + // Due to how the IEEE represents +/-Infinity, we don't need to check + // for overflow here. + ieee_e2 += 1; + } + let ieee = ((((signed_m as u32) << f2s::FLOAT_EXPONENT_BITS) | ieee_e2) + << f2s::FLOAT_MANTISSA_BITS) + | ieee_m2; + Ok(f32::from_bits(ieee)) +} |