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
use ark_ff::Field;
use ark_relations::gr1cs::SynthesisError;
use ark_std::ops::Not;
use super::*;
impl<const N: usize, T: PrimUInt, F: Field> UInt<N, T, F> {
fn _not(&self) -> Result<Self, SynthesisError> {
let mut result = self.clone();
result._not_in_place()?;
Ok(result)
}
fn _not_in_place(&mut self) -> Result<(), SynthesisError> {
for a in &mut self.bits {
a.not_in_place()?;
}
self.value = self.value.map(Not::not);
Ok(())
}
}
impl<'a, const N: usize, T: PrimUInt, F: Field> Not for &'a UInt<N, T, F> {
type Output = UInt<N, T, F>;
/// Outputs `!self`.
///
/// If `self` is a constant, then this method *does not* create any
/// constraints or variables.
///
/// ```
/// # fn main() -> Result<(), ark_relations::gr1cs::SynthesisError> {
/// // We'll use the BLS12-381 scalar field for our constraints.
/// use ark_test_curves::bls12_381::Fr;
/// use ark_relations::gr1cs::*;
/// use ark_r1cs_std::prelude::*;
///
/// let cs = ConstraintSystem::<Fr>::new_ref();
/// let a = UInt8::new_witness(cs.clone(), || Ok(2))?;
/// let b = UInt8::new_witness(cs.clone(), || Ok(!2))?;
///
/// (!a).enforce_equal(&b)?;
/// assert!(cs.is_satisfied().unwrap());
/// # Ok(())
/// # }
/// ```
#[tracing::instrument(target = "gr1cs", skip(self))]
fn not(self) -> Self::Output {
self._not().unwrap()
}
}
impl<'a, const N: usize, T: PrimUInt, F: Field> Not for UInt<N, T, F> {
type Output = UInt<N, T, F>;
/// Outputs `!self`.
///
/// If `self` is a constant, then this method *does not* create any
/// constraints or variables.
///
/// ```
/// # fn main() -> Result<(), ark_relations::gr1cs::SynthesisError> {
/// // We'll use the BLS12-381 scalar field for our constraints.
/// use ark_test_curves::bls12_381::Fr;
/// use ark_relations::gr1cs::*;
/// use ark_r1cs_std::prelude::*;
///
/// let cs = ConstraintSystem::<Fr>::new_ref();
/// let a = UInt8::new_witness(cs.clone(), || Ok(2))?;
/// let b = UInt8::new_witness(cs.clone(), || Ok(!2))?;
///
/// (!a).enforce_equal(&b)?;
/// assert!(cs.is_satisfied().unwrap());
/// # Ok(())
/// # }
/// ```
#[tracing::instrument(target = "gr1cs", skip(self))]
fn not(mut self) -> Self::Output {
self._not_in_place().unwrap();
self
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::{
alloc::{AllocVar, AllocationMode},
prelude::EqGadget,
uint::test_utils::{run_unary_exhaustive, run_unary_random},
GR1CSVar,
};
use ark_ff::PrimeField;
use ark_test_curves::bls12_381::Fr;
fn uint_not<T: PrimUInt, const N: usize, F: PrimeField>(
a: UInt<N, T, F>,
) -> Result<(), SynthesisError> {
let cs = a.cs();
let computed = !&a;
let expected_mode = if a.is_constant() {
AllocationMode::Constant
} else {
AllocationMode::Witness
};
let expected =
UInt::<N, T, F>::new_variable(cs.clone(), || Ok(!a.value()?), expected_mode)?;
assert_eq!(expected.value(), computed.value());
expected.enforce_equal(&computed)?;
if !a.is_constant() {
assert!(cs.is_satisfied().unwrap());
}
Ok(())
}
#[test]
fn u8_not() {
run_unary_exhaustive(uint_not::<u8, 8, Fr>).unwrap()
}
#[test]
fn u16_not() {
run_unary_random::<1000, 16, _, _>(uint_not::<u16, 16, Fr>).unwrap()
}
#[test]
fn u32_not() {
run_unary_random::<1000, 32, _, _>(uint_not::<u32, 32, Fr>).unwrap()
}
#[test]
fn u64_not() {
run_unary_random::<1000, 64, _, _>(uint_not::<u64, 64, Fr>).unwrap()
}
#[test]
fn u128() {
run_unary_random::<1000, 128, _, _>(uint_not::<u128, 128, Fr>).unwrap()
}
}