Coverage Report

Created: 2026-08-14 07:34

next uncovered line (L), next uncovered region (R), next uncovered branch (B)
/rust/registry/src/index.crates.io-1949cf8c6b5b557f/num-bigint-0.4.4/src/biguint/shift.rs
Line
Count
Source
1
use super::{biguint_from_vec, BigUint};
2
3
use crate::big_digit;
4
use crate::std_alloc::{Cow, Vec};
5
6
use core::mem;
7
use core::ops::{Shl, ShlAssign, Shr, ShrAssign};
8
use num_traits::{PrimInt, Zero};
9
10
#[inline]
11
0
fn biguint_shl<T: PrimInt>(n: Cow<'_, BigUint>, shift: T) -> BigUint {
12
0
    if shift < T::zero() {
13
0
        panic!("attempt to shift left with negative");
14
0
    }
15
0
    if n.is_zero() {
16
0
        return n.into_owned();
17
0
    }
18
0
    let bits = T::from(big_digit::BITS).unwrap();
19
0
    let digits = (shift / bits).to_usize().expect("capacity overflow");
20
0
    let shift = (shift % bits).to_u8().unwrap();
21
0
    biguint_shl2(n, digits, shift)
22
0
}
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shl::<usize>
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shl::<i32>
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shl::<u64>
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shl::<u32>
23
24
0
fn biguint_shl2(n: Cow<'_, BigUint>, digits: usize, shift: u8) -> BigUint {
25
0
    let mut data = match digits {
26
0
        0 => n.into_owned().data,
27
        _ => {
28
0
            let len = digits.saturating_add(n.data.len() + 1);
29
0
            let mut data = Vec::with_capacity(len);
30
0
            data.resize(digits, 0);
31
0
            data.extend(n.data.iter());
32
0
            data
33
        }
34
    };
35
36
0
    if shift > 0 {
37
0
        let mut carry = 0;
38
0
        let carry_shift = big_digit::BITS - shift;
39
0
        for elem in data[digits..].iter_mut() {
40
0
            let new_carry = *elem >> carry_shift;
41
0
            *elem = (*elem << shift) | carry;
42
0
            carry = new_carry;
43
0
        }
44
0
        if carry != 0 {
45
0
            data.push(carry);
46
0
        }
47
0
    }
48
49
0
    biguint_from_vec(data)
50
0
}
51
52
#[inline]
53
0
fn biguint_shr<T: PrimInt>(n: Cow<'_, BigUint>, shift: T) -> BigUint {
54
0
    if shift < T::zero() {
55
0
        panic!("attempt to shift right with negative");
56
0
    }
57
0
    if n.is_zero() {
58
0
        return n.into_owned();
59
0
    }
60
0
    let bits = T::from(big_digit::BITS).unwrap();
61
0
    let digits = (shift / bits).to_usize().unwrap_or(core::usize::MAX);
62
0
    let shift = (shift % bits).to_u8().unwrap();
63
0
    biguint_shr2(n, digits, shift)
64
0
}
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shr::<usize>
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shr::<i32>
Unexecuted instantiation: num_bigint::biguint::shift::biguint_shr::<u64>
65
66
0
fn biguint_shr2(n: Cow<'_, BigUint>, digits: usize, shift: u8) -> BigUint {
67
0
    if digits >= n.data.len() {
68
0
        let mut n = n.into_owned();
69
0
        n.set_zero();
70
0
        return n;
71
0
    }
72
0
    let mut data = match n {
73
0
        Cow::Borrowed(n) => n.data[digits..].to_vec(),
74
0
        Cow::Owned(mut n) => {
75
0
            n.data.drain(..digits);
76
0
            n.data
77
        }
78
    };
79
80
0
    if shift > 0 {
81
0
        let mut borrow = 0;
82
0
        let borrow_shift = big_digit::BITS - shift;
83
0
        for elem in data.iter_mut().rev() {
84
0
            let new_borrow = *elem << borrow_shift;
85
0
            *elem = (*elem >> shift) | borrow;
86
0
            borrow = new_borrow;
87
0
        }
88
0
    }
89
90
0
    biguint_from_vec(data)
91
0
}
92
93
macro_rules! impl_shift {
94
    (@ref $Shx:ident :: $shx:ident, $ShxAssign:ident :: $shx_assign:ident, $rhs:ty) => {
95
        impl $Shx<&$rhs> for BigUint {
96
            type Output = BigUint;
97
98
            #[inline]
99
0
            fn $shx(self, rhs: &$rhs) -> BigUint {
100
0
                $Shx::$shx(self, *rhs)
101
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&usize>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&usize>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&i8>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&i8>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&i16>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&i16>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&i32>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&i32>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&i64>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&i64>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&i128>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&i128>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&isize>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&isize>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&u8>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&u16>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&u16>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&u32>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&u32>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&u64>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&u64>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&u128>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<&u128>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<&u8>>::shl
102
        }
103
        impl $Shx<&$rhs> for &BigUint {
104
            type Output = BigUint;
105
106
            #[inline]
107
0
            fn $shx(self, rhs: &$rhs) -> BigUint {
108
0
                $Shx::$shx(self, *rhs)
109
0
            }
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&u128>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&usize>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&usize>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&i8>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&i8>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&i16>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&i16>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&i32>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&i32>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&i64>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&i64>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&i128>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&i128>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&isize>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&isize>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&u8>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&u16>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&u16>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&u32>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&u32>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&u64>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<&u64>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&u128>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<&u8>>::shl
110
        }
111
        impl $ShxAssign<&$rhs> for BigUint {
112
            #[inline]
113
0
            fn $shx_assign(&mut self, rhs: &$rhs) {
114
0
                $ShxAssign::$shx_assign(self, *rhs);
115
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&u128>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&usize>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&usize>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&i8>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&i8>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&i16>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&i16>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&i32>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&i32>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&i64>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&i64>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&i128>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&i128>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&isize>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&isize>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&u8>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&u8>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&u16>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&u16>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&u32>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&u32>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&u64>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<&u64>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<&u128>>::shl_assign
116
        }
117
    };
118
    ($($rhs:ty),+) => {$(
119
        impl Shl<$rhs> for BigUint {
120
            type Output = BigUint;
121
122
            #[inline]
123
0
            fn shl(self, rhs: $rhs) -> BigUint {
124
0
                biguint_shl(Cow::Owned(self), rhs)
125
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<u8>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<i8>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<isize>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<i16>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<i32>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<i64>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<i128>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<u16>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<u128>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<u64>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<usize>>::shl
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shl<u32>>::shl
126
        }
127
        impl Shl<$rhs> for &BigUint {
128
            type Output = BigUint;
129
130
            #[inline]
131
0
            fn shl(self, rhs: $rhs) -> BigUint {
132
0
                biguint_shl(Cow::Borrowed(self), rhs)
133
0
            }
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<usize>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<i8>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<isize>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<i16>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<i64>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<i128>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<u16>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<u8>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<u32>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<u64>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<u128>>::shl
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shl<i32>>::shl
134
        }
135
        impl ShlAssign<$rhs> for BigUint {
136
            #[inline]
137
0
            fn shl_assign(&mut self, rhs: $rhs) {
138
0
                let n = mem::replace(self, BigUint::zero());
139
0
                *self = n << rhs;
140
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<u8>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<isize>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<i8>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<i16>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<i32>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<i64>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<i128>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<u16>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<u64>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<u128>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<usize>>::shl_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShlAssign<u32>>::shl_assign
141
        }
142
        impl_shift! { @ref Shl::shl, ShlAssign::shl_assign, $rhs }
143
144
        impl Shr<$rhs> for BigUint {
145
            type Output = BigUint;
146
147
            #[inline]
148
0
            fn shr(self, rhs: $rhs) -> BigUint {
149
0
                biguint_shr(Cow::Owned(self), rhs)
150
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<isize>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<u8>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<i8>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<i16>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<i64>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<i128>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<u16>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<u32>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<u64>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<u128>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<i32>>::shr
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::Shr<usize>>::shr
151
        }
152
        impl Shr<$rhs> for &BigUint {
153
            type Output = BigUint;
154
155
            #[inline]
156
0
            fn shr(self, rhs: $rhs) -> BigUint {
157
0
                biguint_shr(Cow::Borrowed(self), rhs)
158
0
            }
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<i128>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<isize>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<i8>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<i16>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<i32>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<i64>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<u8>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<u16>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<u32>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<u128>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<usize>>::shr
Unexecuted instantiation: <&num_bigint::biguint::BigUint as core::ops::bit::Shr<u64>>::shr
159
        }
160
        impl ShrAssign<$rhs> for BigUint {
161
            #[inline]
162
0
            fn shr_assign(&mut self, rhs: $rhs) {
163
0
                let n = mem::replace(self, BigUint::zero());
164
0
                *self = n >> rhs;
165
0
            }
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<i128>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<isize>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<i8>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<i16>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<i32>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<i64>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<u8>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<u16>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<u32>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<u64>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<u128>>::shr_assign
Unexecuted instantiation: <num_bigint::biguint::BigUint as core::ops::bit::ShrAssign<usize>>::shr_assign
166
        }
167
        impl_shift! { @ref Shr::shr, ShrAssign::shr_assign, $rhs }
168
    )*};
169
}
170
171
impl_shift! { u8, u16, u32, u64, u128, usize }
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impl_shift! { i8, i16, i32, i64, i128, isize }