matrix/operators.hpp

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//---------------------------------------------------------------------------//
// Copyright (c) 2020-2021 Mikhail Komarov <nemo@nil.foundation>
// Copyright (c) 2020-2021 Nikita Kaskov <nbering@nil.foundation>
// Copyright (c) 2020-2021 Ilias Khairullin <ilias@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.
//
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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_MATRIX_OPERATORS_HPP
#define CRYPTO3_ALGEBRA_MATRIX_OPERATORS_HPP
 
#include <nil/crypto3/algebra/matrix/matrix.hpp>
 
namespace nil {
    namespace crypto3 {
        namespace algebra {
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr bool operator==(const matrix<T, N, M> &a, const matrix<T, N, M> &b) {
                for (std::size_t i = 0; i < N; ++i) {
                    for (std::size_t j = 0; j < M; ++j) {
                        if (a[i][j] != b[i][j])
                            return false;
                    }
                }
                return true;
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr bool operator!=(const matrix<T, N, M> &a, const matrix<T, N, M> &b) {
                return !(a == b);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator+(const matrix<T, N, M> &m, T a) {
                return elementwise([a](T x) { return x + a; }, m);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator+(T a, const matrix<T, N, M> &m) {
                return elementwise([a](T x) { return a + x; }, m);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator+(const matrix<T, N, M> &a, const matrix<T, N, M> &b) {
                return elementwise(std::plus<T>(), a, b);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator*(const matrix<T, N, M> &m, T a) {
                return elementwise([a](T x) { return x * a; }, m);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator*(T a, const matrix<T, N, M> &m) {
                return elementwise([a](T x) { return a * x; }, m);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator*(const matrix<T, N, M> &a, const matrix<T, N, M> &b) {
                return elementwise(std::multiplies<T>(), a, b);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator/(T a, const matrix<T, N, M> &m) {
                return elementwise([a](T x) { return a / x; }, m);
            }
 
            template<typename T, std::size_t N, std::size_t M>
            constexpr matrix<T, N, M> operator/(const matrix<T, N, M> &a, const matrix<T, N, M> &b) {
                return elementwise(std::divides<T>(), a, b);
            }
 
        }    // namespace algebra
    }        // namespace crypto3
}    // namespace nil
 
#endif    // CRYPTO3_ALGEBRA_MATRIX_OPERATORS_HPP