edwards_params.hpp

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//---------------------------------------------------------------------------//
// Copyright (c) 2020-2021 Mikhail Komarov <nemo@nil.foundation>
// Copyright (c) 2020-2021 Nikita Kaskov <nbering@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
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// furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included in all
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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//---------------------------------------------------------------------------//
 
#ifndef CRYPTO3_ALGEBRA_CURVES_EDWARDS_183_EDWARDS_PARAMS_HPP
#define CRYPTO3_ALGEBRA_CURVES_EDWARDS_183_EDWARDS_PARAMS_HPP
 
#include <nil/crypto3/algebra/curves/forms.hpp>
#include <nil/crypto3/algebra/curves/detail/edwards/types.hpp>
 
#include <nil/crypto3/detail/literals.hpp>
 
namespace nil {
    namespace crypto3 {
        namespace algebra {
            namespace curves {
                namespace detail {
 
                    template<>
                    struct edwards_params<183, forms::edwards> {
 
                        using base_field_type = typename edwards_types<183>::base_field_type;
                        using scalar_field_type = typename edwards_types<183>::scalar_field_type;
 
                        constexpr static const typename edwards_types<183>::integral_type c =
                            typename edwards_types<183>::integral_type(0x01);
                        constexpr static const typename edwards_types<183>::integral_type d =
                            typename edwards_types<183>::integral_type(
                                0x64536D55979879327CF1306BB5A6277D254EF9776CE70_cppui179);
                    };
 
                    template<>
                    struct edwards_g1_params<183, forms::edwards> : public edwards_params<183, forms::edwards> {
 
                        using field_type = typename edwards_types<183>::g1_field_type;
 
                        template<typename Coordinates>
                        using group_type = edwards_types<183>::g1_type<forms::edwards, Coordinates>;
 
                        constexpr static const std::array<typename field_type::value_type, 2> zero_fill = {
                            field_type::value_type::zero(), field_type::value_type::one()};
 
                    private:
                        constexpr static const std::array<typename field_type::value_type, 3> inverted_one_fill = {
                            typename field_type::value_type(0x32d83d8aaa0c500f57b15fda90b1ad111067f812c7dd27_cppui182),
                            typename field_type::value_type(0x26c5df4587aa6a5d345efc9f2d47f8b1656517ef618f7a_cppui182),
                            typename field_type::value_type(0x3c6395f7eeafc1d930f0234a46e4a4806b953f0c3374ac_cppui182)};
 
                    public:
                        constexpr static const std::array<typename field_type::value_type, 2> one_fill = {
                            inverted_one_fill[2] * inverted_one_fill[0].inversed(),
                            inverted_one_fill[2] * inverted_one_fill[1].inversed()};
                    };
 
                    template<>
                    struct edwards_g2_params<183, forms::edwards> : public edwards_params<183, forms::edwards> {
 
                        using field_type = typename edwards_types<183>::g2_field_type;
 
                        template<typename Coordinates>
                        using group_type = edwards_types<183>::g2_type<forms::edwards, Coordinates>;
 
                        constexpr static const typename field_type::value_type twist =
                            typename field_type::value_type(0x00, 0x01, 0x00);
 
                    private:
                        constexpr static const typename field_type::value_type::underlying_type g1_c =
                            typename field_type::value_type::underlying_type(c);
                        constexpr static const typename field_type::value_type::underlying_type g1_d =
                            typename field_type::value_type::underlying_type(d);
 
                    public:
                        constexpr static const typename field_type::value_type c = g1_c * twist;
                        constexpr static const typename field_type::value_type d = g1_d * twist;
 
                        constexpr static const std::array<typename field_type::value_type, 2> zero_fill = {
                            field_type::value_type::zero(), field_type::value_type::one()};
 
                    private:
                        constexpr static const std::array<typename field_type::value_type, 3> inverted_one_fill = {
                            typename field_type::value_type(0x3CE954C85AD30F53B1BB4C4F87029780F4141927FEB19_cppui178,
                                                            0x2214EB976DE3A4D9DF9C8D5F7AEDFEC337E03A20B32FFF_cppui182,
                                                            0x249774AB0EDC7FE2E665DDBFE08594F3071E0B3AC994C3_cppui182),
                            typename field_type::value_type(0x2F501F9482C0D0D6E80AC55A79FD4D4594CAF187952660_cppui182,
                                                            0x37BF8F1B1CDA11A81E8BB8F41B5FF462C9A13DC7DE1578_cppui182,
                                                            0x2962F0DA0C7928B2CFBBACE3D0354652B6922A764C12D8_cppui182),
                            typename field_type::value_type(0x3b6ad5c355d8b231b16e97b5c6f635357993efdc248101_cppui182,
                                                            0x2e8b3daf5fa18f9d9c6fa2ca0603fd0c9b09eeece8fd0d_cppui182,
                                                            0x3c3baf061e62a04a4e9d1db335b8779c70384ae2933a73_cppui182)};
 
                    public:
                        constexpr static const std::array<typename field_type::value_type, 2> one_fill = {
                            inverted_one_fill[2] * inverted_one_fill[0].inversed(),
                            inverted_one_fill[2] * inverted_one_fill[1].inversed()};
                    };
 
                    constexpr typename edwards_types<183>::integral_type const edwards_params<183, forms::edwards>::c;
                    constexpr typename edwards_types<183>::integral_type const edwards_params<183, forms::edwards>::d;
 
                    constexpr std::array<typename edwards_g1_params<183, forms::edwards>::field_type::value_type,
                                         2> const edwards_g1_params<183, forms::edwards>::zero_fill;
                    constexpr std::array<typename edwards_g1_params<183, forms::edwards>::field_type::value_type,
                                         2> const edwards_g1_params<183, forms::edwards>::one_fill;
 
                    constexpr std::array<typename edwards_g2_params<183, forms::edwards>::field_type::value_type,
                                         2> const edwards_g2_params<183, forms::edwards>::zero_fill;
                    constexpr std::array<typename edwards_g2_params<183, forms::edwards>::field_type::value_type,
                                         2> const edwards_g2_params<183, forms::edwards>::one_fill;
 
                }    // namespace detail
            }        // namespace curves
        }            // namespace algebra
    }                // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_CURVES_EDWARDS_183_EDWARDS_PARAMS_HPP