1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
use super::{biguint_from_vec, BigUint};

use crate::big_digit;
use crate::std_alloc::{Cow, Vec};

use core::mem;
use core::ops::{Shl, ShlAssign, Shr, ShrAssign};
use num_traits::{PrimInt, Zero};

#[inline]
fn biguint_shl<T: PrimInt>(n: Cow<'_, BigUint>, shift: T) -> BigUint {
    if shift < T::zero() {
        panic!("attempt to shift left with negative");
    }
    if n.is_zero() {
        return n.into_owned();
    }
    let bits = T::from(big_digit::BITS).unwrap();
    let digits = (shift / bits).to_usize().expect("capacity overflow");
    let shift = (shift % bits).to_u8().unwrap();
    biguint_shl2(n, digits, shift)
}

fn biguint_shl2(n: Cow<'_, BigUint>, digits: usize, shift: u8) -> BigUint {
    let mut data = match digits {
        0 => n.into_owned().data,
        _ => {
            let len = digits.saturating_add(n.data.len() + 1);
            let mut data = Vec::with_capacity(len);
            data.resize(digits, 0);
            data.extend(n.data.iter());
            data
        }
    };

    if shift > 0 {
        let mut carry = 0;
        let carry_shift = big_digit::BITS - shift;
        for elem in data[digits..].iter_mut() {
            let new_carry = *elem >> carry_shift;
            *elem = (*elem << shift) | carry;
            carry = new_carry;
        }
        if carry != 0 {
            data.push(carry);
        }
    }

    biguint_from_vec(data)
}

#[inline]
fn biguint_shr<T: PrimInt>(n: Cow<'_, BigUint>, shift: T) -> BigUint {
    if shift < T::zero() {
        panic!("attempt to shift right with negative");
    }
    if n.is_zero() {
        return n.into_owned();
    }
    let bits = T::from(big_digit::BITS).unwrap();
    let digits = (shift / bits).to_usize().unwrap_or(core::usize::MAX);
    let shift = (shift % bits).to_u8().unwrap();
    biguint_shr2(n, digits, shift)
}

fn biguint_shr2(n: Cow<'_, BigUint>, digits: usize, shift: u8) -> BigUint {
    if digits >= n.data.len() {
        let mut n = n.into_owned();
        n.set_zero();
        return n;
    }
    let mut data = match n {
        Cow::Borrowed(n) => n.data[digits..].to_vec(),
        Cow::Owned(mut n) => {
            n.data.drain(..digits);
            n.data
        }
    };

    if shift > 0 {
        let mut borrow = 0;
        let borrow_shift = big_digit::BITS - shift;
        for elem in data.iter_mut().rev() {
            let new_borrow = *elem << borrow_shift;
            *elem = (*elem >> shift) | borrow;
            borrow = new_borrow;
        }
    }

    biguint_from_vec(data)
}

macro_rules! impl_shift {
    (@ref $Shx:ident :: $shx:ident, $ShxAssign:ident :: $shx_assign:ident, $rhs:ty) => {
        impl $Shx<&$rhs> for BigUint {
            type Output = BigUint;

            #[inline]
            fn $shx(self, rhs: &$rhs) -> BigUint {
                $Shx::$shx(self, *rhs)
            }
        }
        impl $Shx<&$rhs> for &BigUint {
            type Output = BigUint;

            #[inline]
            fn $shx(self, rhs: &$rhs) -> BigUint {
                $Shx::$shx(self, *rhs)
            }
        }
        impl $ShxAssign<&$rhs> for BigUint {
            #[inline]
            fn $shx_assign(&mut self, rhs: &$rhs) {
                $ShxAssign::$shx_assign(self, *rhs);
            }
        }
    };
    ($($rhs:ty),+) => {$(
        impl Shl<$rhs> for BigUint {
            type Output = BigUint;

            #[inline]
            fn shl(self, rhs: $rhs) -> BigUint {
                biguint_shl(Cow::Owned(self), rhs)
            }
        }
        impl Shl<$rhs> for &BigUint {
            type Output = BigUint;

            #[inline]
            fn shl(self, rhs: $rhs) -> BigUint {
                biguint_shl(Cow::Borrowed(self), rhs)
            }
        }
        impl ShlAssign<$rhs> for BigUint {
            #[inline]
            fn shl_assign(&mut self, rhs: $rhs) {
                let n = mem::replace(self, BigUint::zero());
                *self = n << rhs;
            }
        }
        impl_shift! { @ref Shl::shl, ShlAssign::shl_assign, $rhs }

        impl Shr<$rhs> for BigUint {
            type Output = BigUint;

            #[inline]
            fn shr(self, rhs: $rhs) -> BigUint {
                biguint_shr(Cow::Owned(self), rhs)
            }
        }
        impl Shr<$rhs> for &BigUint {
            type Output = BigUint;

            #[inline]
            fn shr(self, rhs: $rhs) -> BigUint {
                biguint_shr(Cow::Borrowed(self), rhs)
            }
        }
        impl ShrAssign<$rhs> for BigUint {
            #[inline]
            fn shr_assign(&mut self, rhs: $rhs) {
                let n = mem::replace(self, BigUint::zero());
                *self = n >> rhs;
            }
        }
        impl_shift! { @ref Shr::shr, ShrAssign::shr_assign, $rhs }
    )*};
}

impl_shift! { u8, u16, u32, u64, u128, usize }
impl_shift! { i8, i16, i32, i64, i128, isize }