bls12/377/short_weierstrass_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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//---------------------------------------------------------------------------//
 
#ifndef CRYPTO3_ALGEBRA_CURVES_BLS12_377_SHORT_WEIERSTRASS_PARAMS_HPP
#define CRYPTO3_ALGEBRA_CURVES_BLS12_377_SHORT_WEIERSTRASS_PARAMS_HPP
 
#include <nil/crypto3/algebra/curves/forms.hpp>
#include <nil/crypto3/algebra/curves/detail/bls12/types.hpp>
 
#include <nil/crypto3/detail/literals.hpp>
 
namespace nil {
    namespace crypto3 {
        namespace algebra {
            namespace curves {
                namespace detail {
 
                    template<>
                    struct bls12_params<377, forms::short_weierstrass> {
 
                        using base_field_type = typename bls12_types<377>::base_field_type;
                        using scalar_field_type = typename bls12_types<377>::scalar_field_type;
 
                        constexpr static const typename bls12_types<377>::integral_type a =
                            typename bls12_types<377>::integral_type(
                                0x00);    
                        constexpr static const typename bls12_types<377>::integral_type b =
                            typename bls12_types<377>::integral_type(
                                0x01);    
                    };
 
                    template<>
                    struct bls12_g1_params<377, forms::short_weierstrass>
                        : public bls12_params<377, forms::short_weierstrass> {
 
                        using field_type = typename bls12_types<377>::g1_field_type;
 
                        template<typename Coordinates>
                        using group_type = bls12_types<377>::g1_type<forms::short_weierstrass, Coordinates>;
 
                        constexpr static const std::array<typename field_type::value_type, 2> zero_fill = {
                            field_type::value_type::zero(), field_type::value_type::one()};
 
                        constexpr static const std::array<typename field_type::value_type, 2> one_fill = {
                            typename field_type::value_type(
                                0x8848DEFE740A67C8FC6225BF87FF5485951E2CAA9D41BB188282C8BD37CB5CD5481512FFCD394EEAB9B16EB21BE9EF_cppui376),
                            typename field_type::value_type(
                                0x1914A69C5102EFF1F674F5D30AFEEC4BD7FB348CA3E52D96D182AD44FB82305C2FE3D3634A9591AFD82DE55559C8EA6_cppui377)};
                    };
 
                    template<>
                    struct bls12_g2_params<377, forms::short_weierstrass>
                        : public bls12_params<377, forms::short_weierstrass> {
 
                        using field_type = typename bls12_types<377>::g2_field_type;
 
                        template<typename Coordinates>
                        using group_type = bls12_types<377>::g2_type<forms::short_weierstrass, Coordinates>;
 
                        constexpr static const typename field_type::value_type twist =
                            typename field_type::value_type(field_type::value_type::underlying_type::zero(),
                                                            field_type::value_type::underlying_type::one());
                        constexpr static const typename field_type::value_type::underlying_type g1_b =
                            typename field_type::value_type::underlying_type(b);
                        constexpr static const typename field_type::value_type b = g1_b * twist.inversed();
 
                        constexpr static const std::array<typename field_type::value_type, 2> zero_fill = {
                            field_type::value_type::zero(), field_type::value_type::one()};
 
                        constexpr static const std::array<typename field_type::value_type, 2> one_fill = {
                            typename field_type::value_type(
                                0xB997FEF930828FE1B9E6A1707B8AA508A3DBFD7FE2246499C709226A0A6FEF49F85B3A375363F4F8F6EA3FBD159F8A_cppui376,
                                0xD6AC33B84947D9845F81A57A136BFA326E915FABC8CD6A57FF133B42D00F62E4E1AF460228CD5184DEAE976FA62596_cppui376),
                            typename field_type::value_type(
                                0x118DD509B2E9A13744A507D515A595DBB7E3B63DF568866473790184BDF83636C94DF2B7A962CB2AF4337F07CB7E622_cppui377,
                                0x185067C6CA76D992F064A432BD9F9BE832B0CAC2D824D0518F77D39E76C3E146AFB825F2092218D038867D7F337A010_cppui377)};
                    };
 
                    constexpr
                        typename bls12_types<377>::integral_type const bls12_params<377, forms::short_weierstrass>::a;
                    constexpr
                        typename bls12_types<377>::integral_type const bls12_params<377, forms::short_weierstrass>::b;
 
                    constexpr std::array<
                        typename bls12_g1_params<377, forms::short_weierstrass>::field_type::value_type,
                        2> const bls12_g1_params<377, forms::short_weierstrass>::zero_fill;
                    constexpr std::array<
                        typename bls12_g1_params<377, forms::short_weierstrass>::field_type::value_type,
                        2> const bls12_g1_params<377, forms::short_weierstrass>::one_fill;
 
                    constexpr std::array<
                        typename bls12_g2_params<377, forms::short_weierstrass>::field_type::value_type,
                        2> const bls12_g2_params<377, forms::short_weierstrass>::zero_fill;
                    constexpr std::array<
                        typename bls12_g2_params<377, forms::short_weierstrass>::field_type::value_type,
                        2> const bls12_g2_params<377, forms::short_weierstrass>::one_fill;
 
                }    // namespace detail
            }        // namespace curves
        }            // namespace algebra
    }                // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_CURVES_BLS12_377_SHORT_WEIERSTRASS_PARAMS_HPP