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Refactored MNT4 code and added MNT6 exponentiation #355
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include/nil/blueprint/components/algebra/fields/plonk/non_native/detail/abstract_fp6.hpp
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| //---------------------------------------------------------------------------// | ||
| // Copyright (c) 2024 Vasiliy Olekhov <vasiliy.olekhov@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 | ||
| // copies or substantial portions of the Software. | ||
| // | ||
| // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
| // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
| // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
| // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
| // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
| // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
| // SOFTWARE. | ||
| //---------------------------------------------------------------------------// | ||
| // @file Declaration of F_p^6 elements over an abstract entity (to be used with constraints) | ||
| // with F_p^6 = Fp^2 over Fp^3: | ||
| // Fp^6 = Fp^2[x]/(x^2 - u), u = (0,1,0) | ||
| // Fp^3 = Fp[y]/(y^3 - v), for MNT6: v = 5 | ||
| //---------------------------------------------------------------------------// | ||
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| #ifndef CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_ABSTRACT_FP4_HPP | ||
| #define CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_ABSTRACT_FP4_HPP | ||
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| #include <array> | ||
| #include <cstddef> | ||
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| #include <nil/crypto3/algebra/fields/fp6_2over3.hpp> | ||
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| namespace nil { | ||
| namespace blueprint { | ||
| namespace components { | ||
| namespace detail { | ||
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| template<typename T, typename UnderlyingFieldType> | ||
| class abstract_fp6_element{ | ||
| public: | ||
| using policy_type_fp6 = crypto3::algebra::fields::fp6_2over3<UnderlyingFieldType>; | ||
| std::array<T, 6> x; | ||
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| T& operator[](std::size_t idx) { | ||
| return x[idx]; | ||
| } | ||
| const T& operator[](std::size_t idx) const { | ||
| return x[idx]; | ||
| } | ||
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| constexpr abstract_fp6_element operator*(abstract_fp6_element const& y) { | ||
| // Devegili et al - Multiplication and squaring in pairing-friendly fields | ||
| // https://eprint.iacr.org/2006/471.pdf, page 15, direct sextic | ||
| // Take note on isomorphism between a (Fp 2 over 3) and c (direct sextic) | ||
| // Indices map is on page 17 | ||
| constexpr std::size_t | ||
| _0 = 0, _1 = 3, _2 = 1, | ||
| _3 = 4, _4 = 2, _5 = 5; | ||
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| constexpr auto s = policy_type_fp6::extension_policy::non_residue; | ||
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| T c[6] = { | ||
| x[_0]*y[_0] + s*(x[_1]*y[_5] + x[_2]*y[_4] + x[_3]*y[_3] + x[_4]*y[_2] + x[_5]*y[_1]), | ||
| x[_0]*y[_1] + x[_1]*y[_0] + s*(x[_2]*y[_5] + x[_3]*y[_4] + x[_4]*y[_3] + x[_5]*y[_2]), | ||
| x[_0]*y[_2] + x[_1]*y[_1] + x[_2]*y[_0] + s*(x[_3]*y[_5] + x[_4]*y[_4] + x[_5]*y[_3]), | ||
| x[_0]*y[_3] + x[_1]*y[_2] + x[_2]*y[_1] + x[_3]*y[_0] + s*(x[_4]*y[_5] + x[_5]*y[_4]), | ||
| x[_0]*y[_4] + x[_1]*y[_3] + x[_2]*y[_2] + x[_3]*y[_1] + x[_4]*y[_0] + s* x[_5]*y[_5], | ||
| x[_0]*y[_5] + x[_1]*y[_4] + x[_2]*y[_3] + x[_3]*y[_2] + x[_4]*y[_1] + x[_5]*y[_0] | ||
| }; | ||
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| return { c[0], c[2], c[4], c[1], c[3], c[5]}; | ||
| } | ||
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| constexpr abstract_fp6_element operator*(const int a) { | ||
| return { x[0]*a, x[1]*a, x[2]*a, x[3]*a, x[4]*a, x[5]*a }; | ||
| } | ||
| friend abstract_fp6_element operator*(const int a, abstract_fp6_element const& x) { | ||
| return { x[0]*a, x[1]*a, x[2]*a, x[3]*a, x[4]*a, x[5]*a }; | ||
| } | ||
| constexpr abstract_fp6_element operator+(abstract_fp6_element const& y) { | ||
| return { x[0] + y[0], x[1] + y[1], x[2] + y[2], x[3] + y[3], x[4] + y[4], x[5] + y[5]}; | ||
| } | ||
| constexpr abstract_fp6_element operator-(abstract_fp6_element const& y) { | ||
| return { x[0] - y[0], x[1] - y[1], x[2] - y[2], x[3] - y[3], x[4] - y[4], x[5] - y[5]}; | ||
| } | ||
| }; | ||
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| } // namespace detail | ||
| } // namespace components | ||
| } // namespace blueprint | ||
| } // namespace nil | ||
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| #endif // CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_abstract_FP4_HPP |
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