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58 lines
1.4 KiB
58 lines
1.4 KiB
/*
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Copyright (c) 2020 tevador <tevador@gmail.com>
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All rights reserved.
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*/
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#pragma once
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#include "gf_elem.hpp"
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#include <cassert>
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#include <algorithm>
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#include <iostream>
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class gf_poly {
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public:
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static constexpr size_t max_degree = 13;
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gf_poly() : degree_(0) //zero polynomial
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{
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}
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gf_poly(gf_elem coeff, unsigned degree); //monomial
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gf_poly(unsigned degree) : gf_poly(1, degree)
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{
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}
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gf_poly(gf_elem coeff[], unsigned degree);
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unsigned degree() const {
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return degree_;
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}
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void set_degree();
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void set_degree(unsigned degree) {
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degree_ = degree;
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}
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bool is_zero() const {
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return degree_ == 0 && coeff_[0] == 0;
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}
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gf_elem operator[](unsigned i) const {
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return coeff_[i];
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}
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gf_elem& operator[](unsigned i) {
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return coeff_[i];
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}
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gf_elem operator()(gf_elem x) const; //evaluate at point x
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gf_poly& operator+=(const gf_poly& x);
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gf_poly& operator-=(const gf_poly& x);
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gf_poly& operator*=(gf_elem x);
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gf_poly& operator*=(const gf_poly& x);
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friend gf_poly operator*(const gf_poly& lhs, const gf_poly& rhs) {
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gf_poly result(lhs);
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return result *= rhs;
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}
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friend gf_poly operator+(const gf_poly& lhs, const gf_poly& rhs) {
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gf_poly result(lhs);
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return result += rhs;
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}
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static gf_poly div_rem(const gf_poly& nom, const gf_poly& x, gf_poly& rem);
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friend std::ostream& operator<<(std::ostream& os, const gf_poly& poly);
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private:
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gf_elem coeff_[2 * (max_degree + 1)] = { };
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unsigned degree_;
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};
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