Added abstract field fp2

include/nil/blueprint/components/algebra/fields/plonk/non_native/detail/abstract_fp2.hpp

@@ -0,0 +1,73 @@
+//---------------------------------------------------------------------------//
+// Copyright (c) 2023 Alexey Yashunsky <[email protected]>
+// Copyright (c) 2024 Vasiliy Olekhov <[email protected]>
+//
+// 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^2 elements over an abstract entity (to be used with constraints)
+// with F_p^2 = F_p[u]/(u^2 - non_residue).
+//---------------------------------------------------------------------------//
+
+#ifndef CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_ABSTRACT_FP2_HPP
+#define CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_ABSTRACT_FP2_HPP
+
+namespace nil {
+    namespace blueprint {
+        namespace components {
+            namespace detail {
+                template<typename T, typename UnderlyingFieldType>
+                class abstract_fp2_element {
+                    using non_residue = UnderlyingFieldType::non_residue;
+                public:
+                    std::array<T,2> data;
+
+                    T& operator[](std::size_t idx) {
+                        return data[idx];
+                    }
+                    const T& operator[](std::size_t idx) const {
+                        return data[idx];
+                    }
+
+
+                    constexpr abstract_fp2_element operator*(const abstract_fp2_element& other) {
+                        return { data[0] * other.data[0] + non_residue * data[1] * other.data[1],
+                                 data[0] * other.data[1] + data[1] * other.data[0]};
+                    }
+                    constexpr abstract_fp2_element operator*(const int x) {
+                        return { data[0]*x, data[1]*x };
+                    }
+                    friend abstract_fp2_element operator*(const int x, const abstract_fp2_element& e) {
+                        return { e[0]*x, e[1]*x };
+                    }
+                    constexpr abstract_fp2_element operator+(const abstract_fp2_element& other) {
+                        return { data[0] + other.data[0], data[1] + other.data[1] };
+                    }
+                    constexpr abstract_fp2_element operator-(const abstract_fp2_element& other) {
+                        return { data[0] - other.data[0], data[1] - other.data[1] };
+                    }
+                };
+
+            } // namespace detail
+        }     // namespace components
+    }         // namespace blueprint
+}             // namespace nil
+
+#endif    // CRYPTO3_BLUEPRINT_COMPONENTS_PLONK_ABSTRACT_FP2_HPP