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// Copyright (C) 2019-2023 Aleo Systems Inc.
// 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.
use super::*;
impl<E: Environment> Scalar<E> {
/// Casts a scalar from a base field, with lossy truncation.
///
/// This method is commonly-used by hash-to-scalar algorithms,
/// where the hash output does not need to preserve the full base field.
pub fn from_field_lossy(field: &Field<E>) -> Self {
// Note: We are reconstituting the base field into a scalar field.
// This is safe as the scalar field modulus is less than the base field modulus,
// and thus will always fit within a single base field element.
debug_assert!(Scalar::<E>::size_in_bits() < Field::<E>::size_in_bits());
// Truncate the field to the size in data bits (1 bit less than the MODULUS) of the scalar.
// Slicing here is safe as the base field is larger than the scalar field.
let result = Self::from_bits_le(&field.to_bits_le()[..Scalar::<E>::size_in_data_bits()]);
debug_assert!(result.is_ok(), "A lossy integer should always be able to be constructed from scalar bits");
result.unwrap()
}
}
#[cfg(test)]
mod tests {
use super::*;
use snarkvm_console_network_environment::Console;
type CurrentEnvironment = Console;
const ITERATIONS: u64 = 10_000;
#[test]
fn test_from_field() -> Result<()> {
let mut rng = TestRng::default();
for _ in 0..ITERATIONS {
// Sample a random scalar.
let size_in_data_bits = Scalar::<CurrentEnvironment>::size_in_data_bits();
let prepare = &Scalar::<CurrentEnvironment>::rand(&mut rng).to_bits_le()[0..size_in_data_bits];
let expected = Scalar::<CurrentEnvironment>::from_bits_le(prepare)?;
// Perform the operation.
let candidate = Scalar::from_field_lossy(&expected.to_field()?);
assert_eq!(expected, candidate);
// Sample a random field.
let expected = Field::<CurrentEnvironment>::rand(&mut rng);
// Perform the operation (should not fail).
let _result = Scalar::from_field_lossy(&expected);
}
Ok(())
}
}