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#include "set_function/hadamard_transform.hpp"
アダマール変換を行う。 $O(N\log N)$
#pragma once #include <vector> namespace ebi { template <class T> std::vector<T> hadamard_transform(std::vector<T> f, bool inverse = false) { int n = f.size(); for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j++) { if ((i & j) == 0) { T x = f[j], y = f[j | i]; f[j] = x + y; f[j | i] = x - y; } } } if (inverse) { for (auto& x : f) { x /= T(n); } } return f; } } // namespace ebi
#line 2 "set_function/hadamard_transform.hpp" #include <vector> namespace ebi { template <class T> std::vector<T> hadamard_transform(std::vector<T> f, bool inverse = false) { int n = f.size(); for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j++) { if ((i & j) == 0) { T x = f[j], y = f[j | i]; f[j] = x + y; f[j | i] = x - y; } } } if (inverse) { for (auto& x : f) { x /= T(n); } } return f; } } // namespace ebi