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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::*;
#[cfg(not(integer128))]
use crate::d2s_intrinsics::*;
pub static DOUBLE_POW5_INV_SPLIT2: [(u64, u64); 13] = [
(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),
];
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(integer128)]
#[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!(base < 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(integer128)]
#[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)
}
// Computes 5^i in the form required by Ryū, and stores it in the given pointer.
#[cfg(not(integer128))]
#[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 (low1, mut high1) = umul128(m, mul.1);
let (low0, high0) = umul128(m, mul.0);
let sum = high0 + low1;
if sum < high0 {
high1 += 1; // overflow into high1
}
// high1 | sum | low0
let delta = pow5bits(i as i32) - pow5bits(base2 as i32);
debug_assert!(base < POW5_OFFSETS.len() as u32);
(
shiftright128(low0, sum, delta as u32)
+ ((*POW5_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u64,
shiftright128(sum, high1, delta as u32),
)
}
// Computes 5^-i in the form required by Ryū, and stores it in the given pointer.
#[cfg(not(integer128))]
#[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);
let (low1, mut high1) = umul128(m, mul.1);
let (low0, high0) = umul128(m, mul.0 - 1);
let sum = high0 + low1;
if sum < high0 {
high1 += 1; // overflow into high1
}
// high1 | sum | low0
let delta = pow5bits(base2 as i32) - pow5bits(i as i32);
debug_assert!(base < POW5_INV_OFFSETS.len() as u32);
(
shiftright128(low0, sum, delta as u32)
+ 1
+ ((*POW5_INV_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u64,
shiftright128(sum, high1, delta as u32),
)
}
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