qfall-math 0.1.1

Mathematical foundations for rapid prototyping of lattice-based cryptography
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// Copyright © 2023 Marvin Beckmann
//
// This file is part of qFALL-math.
//
// qFALL-math is free software: you can redistribute it and/or modify it under
// the terms of the Mozilla Public License Version 2.0 as published by the
// Mozilla Foundation. See <https://mozilla.org/en-US/MPL/2.0/>.

//! [`PolyOverZ`] is a type of polynomial with arbitrarily many coefficients of type
//! [`Z`](crate::integer::Z)
//! This implementation uses the [FLINT](https://flintlib.org/) library.

use flint_sys::fmpz_poly::fmpz_poly_struct;
use std::fmt;

mod arithmetic;
mod cmp;
mod coefficient_embedding;
mod default;
mod dot_product;
mod evaluate;
pub(crate) mod fmpz_poly_helpers;
mod from;
mod get;
mod norm;
mod ownership;
mod properties;
mod reduce;
mod sample;
mod serialize;
mod set;
mod to_string;
mod unsafe_functions;

/// [`PolyOverZ`] is a type of polynomial with arbitrarily many coefficients of type
/// [`Z`](crate::integer::Z).
///
// Attributes:
// - `poly`: holds the content of the polynomial
//
/// # Examples
/// ```
/// use qfall_math::integer::{PolyOverZ, Z};
/// use qfall_math::traits::*;
/// use std::str::FromStr;
///
/// // instantiations
/// let poly_1 = PolyOverZ::from_str("4  0 1 2 3").unwrap();
/// let poly_2 = PolyOverZ::default();
///
/// // arithmetic operations
/// let _ = &poly_1 + &poly_2;
/// let _ = &poly_1 * &poly_2;
///
/// // evaluate function
/// let value = Z::from(3);
/// let res: Z = poly_1.evaluate(&value);
///
/// // comparison
/// assert_ne!(poly_1, poly_2);
/// ```
pub struct PolyOverZ {
    pub(crate) poly: fmpz_poly_struct,
}

impl fmt::Debug for PolyOverZ {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(
            f,
            "PolyOverZ {{poly: {}, storage: {{poly: {:?}}}}}",
            self, self.poly
        )
    }
}