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
//! Big integers are represented as an array of smaller CPU word-size integers
//! called "limbs".

#![allow(clippy::derive_hash_xor_eq)]

mod add;
mod bit_and;
mod bit_not;
mod bit_or;
mod bit_xor;
mod bits;
mod cmp;
mod encoding;
mod from;
mod mul;
mod sub;

#[cfg(feature = "rand_core")]
mod rand;

use crate::Zero;
use core::fmt;
use subtle::{Choice, ConditionallySelectable};

#[cfg(not(any(target_pointer_width = "32", target_pointer_width = "64")))]
compile_error!("this crate builds on 32-bit and 64-bit platforms only");

//
// 32-bit definitions
//

/// Inner integer type that the [`Limb`] newtype wraps.
#[cfg(target_pointer_width = "32")]
pub type LimbUInt = u32;

/// Signed integer type that corresponds to [`LimbUInt`].
#[cfg(target_pointer_width = "32")]
pub(crate) type LimbInt = i32;

/// Unsigned wide integer type: double the width of [`LimbUInt`].
#[cfg(target_pointer_width = "32")]
pub type WideLimbUInt = u64;

/// Signed wide integer type: double the width of [`Limb`].
#[cfg(target_pointer_width = "32")]
pub(crate) type WideLimbInt = i64;

//
// 64-bit definitions
//

/// Unsigned integer type that the [`Limb`] newtype wraps.
#[cfg(target_pointer_width = "64")]
pub type LimbUInt = u64;

/// Signed integer type that corresponds to [`LimbUInt`].
#[cfg(target_pointer_width = "64")]
pub(crate) type LimbInt = i64;

/// Wide integer type: double the width of [`LimbUInt`].
#[cfg(target_pointer_width = "64")]
pub type WideLimbUInt = u128;

/// Signed wide integer type: double the width of [`Limb`].
#[cfg(target_pointer_width = "64")]
pub(crate) type WideLimbInt = i128;

/// Highest bit in a [`Limb`].
pub(crate) const HI_BIT: usize = Limb::BIT_SIZE - 1;

/// Big integers are represented as an array of smaller CPU word-size integers
/// called "limbs".
#[derive(Copy, Clone, Debug, Default, Hash)]
#[repr(transparent)]
pub struct Limb(pub LimbUInt);

impl Limb {
    /// The value `0`.
    pub const ZERO: Self = Limb(0);

    /// The value `1`.
    pub const ONE: Self = Limb(1);

    /// Maximum value this [`Limb`] can express.
    pub const MAX: Self = Limb(LimbUInt::MAX);

    // 32-bit

    /// Size of the inner integer in bits.
    #[cfg(target_pointer_width = "32")]
    pub const BIT_SIZE: usize = 32;
    /// Size of the inner integer in bytes.
    #[cfg(target_pointer_width = "32")]
    pub const BYTE_SIZE: usize = 4;

    // 64-bit

    /// Size of the inner integer in bits.
    #[cfg(target_pointer_width = "64")]
    pub const BIT_SIZE: usize = 64;
    /// Size of the inner integer in bytes.
    #[cfg(target_pointer_width = "64")]
    pub const BYTE_SIZE: usize = 8;

    /// Return `a` if `c`!=0 or `b` if `c`==0.
    ///
    /// Const-friendly: we can't yet use `subtle` in `const fn` contexts.
    #[inline]
    pub(crate) const fn ct_select(a: Self, b: Self, c: LimbUInt) -> Self {
        Self(a.0 ^ (c & (a.0 ^ b.0)))
    }
}

impl ConditionallySelectable for Limb {
    #[inline]
    fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self {
        Self(LimbUInt::conditional_select(&a.0, &b.0, choice))
    }
}

impl Zero for Limb {
    const ZERO: Self = Self::ZERO;
}

impl fmt::Display for Limb {
    #[inline]
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        fmt::UpperHex::fmt(self, f)
    }
}

impl fmt::LowerHex for Limb {
    #[inline]
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        fmt::LowerHex::fmt(&self.0, f)
    }
}

impl fmt::UpperHex for Limb {
    #[inline]
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        fmt::UpperHex::fmt(&self.0, f)
    }
}

#[cfg(feature = "zeroize")]
#[cfg_attr(docsrs, doc(cfg(feature = "zeroize")))]
impl zeroize::DefaultIsZeroes for Limb {}