curve25519/scalar_field.hpp

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//---------------------------------------------------------------------------//
// Copyright (c) 2021 Mikhail Komarov <nemo@nil.foundation>
// Copyright (c) 2021 Ilias Khairullin <ilias@nil.foundation>
//
// MIT License
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
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//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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//---------------------------------------------------------------------------//
 
#ifndef CRYPTO3_ALGEBRA_FIELDS_CURVE25519_SCALAR_FIELD_HPP
#define CRYPTO3_ALGEBRA_FIELDS_CURVE25519_SCALAR_FIELD_HPP
 
#include <nil/crypto3/algebra/fields/detail/element/fp.hpp>
 
#include <nil/crypto3/algebra/fields/params.hpp>
#include <nil/crypto3/algebra/fields/field.hpp>
 
#include <nil/crypto3/detail/literals.hpp>
 
namespace nil {
    namespace crypto3 {
        namespace algebra {
            namespace fields {
                struct curve25519_scalar_field : public field<253> {
                    typedef field<253> policy_type;
 
                    constexpr static const std::size_t modulus_bits = policy_type::modulus_bits;
                    typedef typename policy_type::integral_type integral_type;
 
                    typedef typename policy_type::extended_integral_type extended_integral_type;
 
                    constexpr static const std::size_t number_bits = policy_type::number_bits;
 
                    constexpr static const integral_type modulus =
                        0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed_cppui253;
 
                    typedef typename policy_type::modular_backend modular_backend;
                    constexpr static const modular_params_type modulus_params = modulus;
                    typedef nil::crypto3::multiprecision::number<
                        nil::crypto3::multiprecision::backends::modular_adaptor<modular_backend, nil::crypto3::multiprecision::backends::modular_params_ct<modular_backend, modulus_params>>>
                        modular_type;
 
                    typedef typename detail::element_fp<params<curve25519_scalar_field>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
                constexpr typename std::size_t const curve25519_scalar_field::modulus_bits;
                constexpr typename std::size_t const curve25519_scalar_field::number_bits;
                constexpr typename std::size_t const curve25519_scalar_field::value_bits;
                constexpr typename curve25519_scalar_field::integral_type const curve25519_scalar_field::modulus;
 
                using curve25519_fr = curve25519_scalar_field;
            }    // namespace fields
        }        // namespace algebra
    }            // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_FIELDS_CURVE25519_SCALAR_FIELD_HPP