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-rw-r--r--vendor/ryu/src/f2s.rs176
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-// 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,
- }
-}