fps/poly_taylor_shift.hpp

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Last update: 2025-04-06 00:09:45+09:00
Include: #include "fps/poly_taylor_shift.hpp"

Depends on

Verified with

verify/yosupo_fps/poly_taylor_shift.test.cpp

Code

#ifndef KK2_FPS_POLY_TAYLOR_SHIFT_HPP
#define KK2_FPS_POLY_TAYLOR_SHIFT_HPP 1

#include <algorithm>

#include "../math_mod/comb.hpp"

namespace kk2 {

template <class FPS, class mint = typename FPS::value_type>
FPS taylor_shift(const FPS &f_, mint a) {
    FPS f(f_);
    int n = f.size();
    Comb<mint>::set_upper(n);
    for (int i = 0; i < n; i++) f[i] *= Comb<mint>::fact(i);
    f.inplace_rev();
    FPS g(n, mint(1));
    for (int i = 1; i < n; i++) g[i] = g[i - 1] * a * Comb<mint>::inv(i);
    f = (f * g).pre(n).rev();
    for (int i = 0; i < n; i++) f[i] *= Comb<mint>::ifact(i);
    return f;
}

} // namespace kk2

#endif // KK2_FPS_POLY_TAYLOR_SHIFT_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 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