snarkvm_circuit_environment/traits/
operators.rs

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
// Copyright 2024 Aleo Network Foundation
// This file is part of the snarkVM library.

// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at:

// http://www.apache.org/licenses/LICENSE-2.0

// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

pub use crate::prelude::num_traits::Pow;
pub use console::traits::{
    arithmetic::*,
    bitwise::*,
    from_bits::{SizeInBits, SizeInDataBits},
};

use crate::BooleanTrait;

/// Unary operator for retrieving the inverse value.
pub trait Inverse {
    type Output;

    fn inverse(&self) -> Self::Output;
}

/// Unary operator for retrieving the square root of the value.
pub trait SquareRoot {
    type Output;

    fn square_root(&self) -> Self::Output;
}

///
/// A single-bit binary adder with a carry bit.
///
/// https://en.wikipedia.org/wiki/Adder_(electronics)#Full_adder
///
/// sum = (a XOR b) XOR carry
/// carry = a AND b OR carry AND (a XOR b)
/// return (sum, carry)
///
pub trait Adder {
    type Carry;
    type Sum;

    /// Returns the sum of `self` and `other` as a sum bit and carry bit.
    fn adder(&self, other: &Self, carry: &Self) -> (Self::Sum, Self::Carry);
}

///
/// A single-bit binary subtractor with a borrow bit.
///
/// https://en.wikipedia.org/wiki/Subtractor#Full_subtractor
///
/// difference = (a XOR b) XOR borrow
/// borrow = ((NOT a) AND b) OR (borrow AND (NOT (a XOR b)))
/// return (difference, borrow)
///
pub trait Subtractor {
    type Borrow;
    type Difference;

    /// Returns the difference of `self` and `other` as a difference bit and borrow bit.
    fn subtractor(&self, other: &Self, borrow: &Self) -> (Self::Difference, Self::Borrow);
}

/// Representation of the zero value.
pub trait Zero {
    type Boolean: BooleanTrait;

    /// Returns a new zero constant.
    fn zero() -> Self
    where
        Self: Sized;

    /// Returns `true` if `self` is zero.
    fn is_zero(&self) -> Self::Boolean;
}

/// Representation of the one value.
pub trait One {
    type Boolean: BooleanTrait;

    /// Returns a new one constant.
    fn one() -> Self
    where
        Self: Sized;

    /// Returns `true` if `self` is one.
    fn is_one(&self) -> Self::Boolean;
}

/// Unary operator for retrieving the most-significant bit.
pub trait MSB {
    type Boolean: BooleanTrait;

    /// Returns the MSB of the value.
    fn msb(&self) -> &Self::Boolean;
}