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// Copyright (C) 2019-2021 Aleo Systems Inc.
// This file is part of the snarkVM library.

// The snarkVM library is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// The snarkVM library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with the snarkVM library. If not, see <https://www.gnu.org/licenses/>.

use snarkvm_fields::{PrimeField, SquareRootField};
use snarkvm_utilities::{rand::UniformRand, FromBytes, ToBytes};

use std::{
    fmt::{Debug, Display},
    hash::Hash,
    ops::{Add, AddAssign, Mul, MulAssign, Neg, Sub, SubAssign},
};

use snarkvm_fields::Zero;

pub trait Group:
    ToBytes
    + FromBytes
    + Copy
    + Clone
    + Debug
    + Display
    + Default
    + Send
    + Sync
    + 'static
    + Eq
    + Hash
    + Neg<Output = Self>
    + UniformRand
    + Zero
    + Add<Self, Output = Self>
    + Sub<Self, Output = Self>
    + Mul<Self::ScalarField, Output = Self>
    + AddAssign<Self>
    + SubAssign<Self>
    + MulAssign<Self::ScalarField>
    + for<'a> Add<&'a Self, Output = Self>
    + for<'a> Sub<&'a Self, Output = Self>
    + for<'a> AddAssign<&'a Self>
    + for<'a> SubAssign<&'a Self>
{
    type ScalarField: PrimeField + SquareRootField + Into<<Self::ScalarField as PrimeField>::BigInteger>;

    /// Returns `self + self`.
    #[must_use]
    fn double(&self) -> Self;

    /// Sets `self := self + self`.
    fn double_in_place(&mut self);
}