convolution/convolution.hpp

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• Last update: 2025-04-24 20:44:35+09:00
• Include: #include "convolution/convolution.hpp"

Depends on

• bit/bitcount.hpp
• fps/fps_sparsity_detector.hpp
• math_mod/butterfly.hpp
• math_mod/pow_mod.hpp
• math_mod/primitive_root.hpp
• type_traits/integral.hpp

Required by

• convolution/convolution_arb.hpp
• convolution/convolution_int.hpp
• convolution/multi_convolution_truncated.hpp
• fps/fps_arb.hpp
• fps/fps_multivariate.hpp
• fps/fps_multivariate.hpp
• fps/fps_ntt_friendly.hpp
• math_mod/comb_large.hpp

Verified with

• verify/unit_test/large_fact_arb_mod.test.cpp
• verify/yosupo_convolution/convolution_arbitrary.test.cpp
• verify/yosupo_convolution/convolution_multi_truncated.test.cpp
• verify/yosupo_convolution/convolution_ntt_friendly.test.cpp
• verify/yosupo_fps/fps_composition.test.cpp
• verify/yosupo_fps/fps_composition_inv.test.cpp
• verify/yosupo_fps/fps_exp.test.cpp
• verify/yosupo_fps/fps_exp_arb.test.cpp
• verify/yosupo_fps/fps_inv.test.cpp
• verify/yosupo_fps/fps_inv_arb.test.cpp
• verify/yosupo_fps/fps_log.test.cpp
• verify/yosupo_fps/fps_log_arb.test.cpp
• verify/yosupo_fps/fps_multipoint_evaluation.test.cpp
• verify/yosupo_fps/fps_multipoint_evaluation_geometric.test.cpp
• verify/yosupo_fps/fps_pow.test.cpp
• verify/yosupo_fps/fps_product_of_polynomial_sequence.test.cpp
• verify/yosupo_fps/fps_sparse_exp.test.cpp
• verify/yosupo_fps/fps_sparse_inv.test.cpp
• verify/yosupo_fps/fps_sparse_log.test.cpp
• verify/yosupo_fps/fps_sparse_pow.test.cpp
• verify/yosupo_fps/fps_sprase_sqrt.test.cpp
• verify/yosupo_fps/fps_sqrt.test.cpp
• verify/yosupo_fps/poly_division.test.cpp
• verify/yosupo_fps/poly_interpolation.test.cpp
• verify/yosupo_fps/poly_interpolation_geometric.test.cpp
• verify/yosupo_fps/poly_inv.test.cpp
• verify/yosupo_fps/poly_root_finding.test.cpp
• verify/yosupo_fps/poly_sample_point_shift.test.cpp
• verify/yosupo_fps/poly_taylor_shift.test.cpp
• verify/yosupo_fps/poly_to_newton_basis.test.cpp
• verify/yosupo_math/enumerate_bell_number.test.cpp
• verify/yosupo_math/enumerate_stirling_number_of_the_first_kind.test.cpp
• verify/yosupo_math/kth_term_of_linearly_recurrent_sequence.test.cpp
• verify/yosupo_math/many_factrials.test.cpp
• verify/yuki/yuki_1510.test.cpp

Code

#ifndef KK2_CONVOLUTION_CONVOLUTION_HPP
#define KK2_CONVOLUTION_CONVOLUTION_HPP 1

#include <algorithm>
#include <vector>

#include "../fps/fps_sparsity_detector.hpp"
#include "../math_mod/butterfly.hpp"

namespace kk2 {

template <class FPS, class mint = typename FPS::value_type> FPS convolution(FPS &a, const FPS &b) {
    int n = int(a.size()), m = int(b.size());
    if (!n || !m) return {};
    if (is_sparse_operation(FPSOperation::CONVOLUTION, 1, a, b)) {
        std::vector<int> nza(n), nzb(m);
        int ai = 0, bi = 0;
        for (int i = 0; i < n; i++)
            if (a[i] != mint(0)) nza[ai++] = i;
        for (int i = 0; i < m; i++)
            if (b[i] != mint(0)) nzb[bi++] = i;
        nza.resize(ai), nzb.resize(bi);
        FPS res(n + m - 1);
        for (int i : nza)
            for (int j : nzb) res[i + j] += a[i] * b[j];
        return a = res;
    }

    int z = 1;
    while (z < n + m - 1) z <<= 1;
    if (a == b) {
        a.resize(z);
        butterfly(a);
        for (int i = 0; i < z; i++) a[i] *= a[i];
    } else {
        a.resize(z);
        butterfly(a);
        FPS t(b.begin(), b.end());
        t.resize(z);
        butterfly(t);
        for (int i = 0; i < z; i++) a[i] *= t[i];
    }
    butterfly_inv(a);
    a.resize(n + m - 1);
    return a;
}

} // namespace kk2

#endif // KK2_CONVOLUTION_CONVOLUTION_HPP

Traceback (most recent call last):
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/documentation/build.py", line 71, in _render_source_code_stat
    bundled_code = language.bundle(stat.path, basedir=basedir, options={'include_paths': [basedir]}).decode()
                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus.py", line 187, in bundle
    bundler.update(path)
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 401, in update
    self.update(self._resolve(pathlib.Path(included), included_from=path))
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 401, in update
    self.update(self._resolve(pathlib.Path(included), included_from=path))
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 401, in update
    self.update(self._resolve(pathlib.Path(included), included_from=path))
  File "/opt/hostedtoolcache/Python/3.12.0/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 312, in update
    raise BundleErrorAt(path, i + 1, "#pragma once found in a non-first line")
onlinejudge_verify.languages.cplusplus_bundle.BundleErrorAt: type_traits/integral.hpp: line 4: #pragma once found in a non-first line

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