x962_p/scalar_field.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
//
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// of this software and associated documentation files (the "Software"), to deal
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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//---------------------------------------------------------------------------//
 
#ifndef CRYPTO3_ALGEBRA_FIELDS_X962_P_SCALAR_FIELD_HPP
#define CRYPTO3_ALGEBRA_FIELDS_X962_P_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 {
 
                template<std::size_t Version>
                struct x962_p_v1_scalar_field : public field<Version> { };
 
                template<std::size_t Version>
                struct x962_p_v2_scalar_field : public field<Version> { };
 
                template<std::size_t Version>
                struct x962_p_v3_scalar_field : public field<Version> { };
 
                template<>
                struct x962_p_v2_scalar_field<192> : public field<192> {
                    typedef field<192> 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 =
                        0xFFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31_cppui192;
 
                    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<x962_p_v2_scalar_field<192>>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
 
                template<>
                struct x962_p_v3_scalar_field<192> : public field<192> {
                    typedef field<192> 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 integral_type modulus =
                        0xFFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13_cppui192;
 
                    typedef typename detail::element_fp<params<x962_p_v3_scalar_field<192>>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
 
                template<>
                struct x962_p_v1_scalar_field<239> : public field<239> {
                    typedef field<239> 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 integral_type modulus =
                        0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B_cppui239;
 
                    typedef typename detail::element_fp<params<x962_p_v1_scalar_field<239>>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
 
                template<>
                struct x962_p_v2_scalar_field<239> : public field<239> {
                    typedef field<239> 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 integral_type modulus =
                        0x7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063_cppui239;
 
                    typedef typename detail::element_fp<params<x962_p_v2_scalar_field<239>>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
 
                template<>
                struct x962_p_v3_scalar_field<239> : public field<239> {
                    typedef field<239> 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 integral_type modulus =
                        0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551_cppui239;
 
                    typedef typename detail::element_fp<params<x962_p_v3_scalar_field<239>>> value_type;
 
                    constexpr static const std::size_t value_bits = modulus_bits;
                    constexpr static const std::size_t arity = 1;
                };
 
                constexpr
                    typename x962_p_v2_scalar_field<192>::integral_type const x962_p_v2_scalar_field<192>::modulus;
                constexpr
                    typename x962_p_v3_scalar_field<192>::integral_type const x962_p_v3_scalar_field<192>::modulus;
                constexpr
                    typename x962_p_v1_scalar_field<239>::integral_type const x962_p_v1_scalar_field<239>::modulus;
                constexpr
                    typename x962_p_v2_scalar_field<239>::integral_type const x962_p_v2_scalar_field<239>::modulus;
                constexpr
                    typename x962_p_v3_scalar_field<239>::integral_type const x962_p_v3_scalar_field<239>::modulus;
 
                template<std::size_t Version = 192>
                using x962_p_v2_fr = x962_p_v2_scalar_field_field<Version>;
                template<std::size_t Version = 192>
                using x962_p_v3_fr = x962_p_v3_scalar_field_field<Version>;
                template<std::size_t Version = 239>
                using x962_p_v1_fr = x962_p_v1_scalar_field_field<Version>;
                template<std::size_t Version = 239>
                using x962_p_v2_fr = x962_p_v2_scalar_field_field<Version>;
                template<std::size_t Version = 239>
                using x962_p_v3_fr = x962_p_v3_scalar_field_field<Version>;
 
            }    // namespace fields
        }        // namespace algebra
    }            // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_FIELDS_X962_P_SCALAR_FIELD_HPP