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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> FromField for Scalar<E> {
type Field = Field<E>;
/// Casts a scalar from a base field element.
///
/// This method guarantees the following:
/// 1. If the field element is larger than the scalar field modulus, then the operation will fail.
/// 2. If the field element is smaller than the scalar field modulus, then the operation will succeed.
/// - This is particularly useful for the case where a user called, `Scalar::from_field(scalar.to_field())`,
/// and the scalar bit representation is between `size_in_data_bits < bits.len() < size_in_bits`.
fn from_field(field: &Self::Field) -> Result<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());
// Do not truncate the field bits, which provides the following features:
// 1. If the field element is larger than the scalar field modulus, then the operation will fail.
// 2. If the field element is smaller than the scalar field modulus, then the operation will succeed.
// - This is particularly useful for the case where a user called, `Scalar::from_field(scalar.to_field())`,
// and the scalar bit representation is between `size_in_data_bits < bits.len() < size_in_bits`.
Self::from_bits_le(&field.to_bits_le())
}
}
#[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 expected = Scalar::<CurrentEnvironment>::rand(&mut rng);
// Perform the operation.
let candidate = Scalar::from_field(&expected.to_field()?)?;
assert_eq!(expected, candidate);
// Sample a random field.
let expected = Field::<CurrentEnvironment>::rand(&mut rng);
// Filter for field elements that exceed the scalar field modulus.
if expected > (-Scalar::<CurrentEnvironment>::one()).to_field()? {
// Perform the operation.
assert!(Scalar::from_field(&expected).is_err());
} else {
// Perform the operation.
assert!(Scalar::from_field(&expected).is_ok());
}
}
Ok(())
}
}