math/monoid/affine.hpp

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• Last update: 2025-04-06 13:01:12+09:00
• Include: #include "math/monoid/affine.hpp"

Depends on

• type_traits/io.hpp

Required by

• math/action/affine_sumwithsize.hpp
• math/action/update_affine.hpp

Verified with

• verify/unit_test/action.test.cpp
• verify/unit_test/monoid.test.cpp
• verify/yosupo_ds/ds_dynamic_sequence_range_affine_range_sum.test.cpp
• verify/yosupo_ds/ds_point_set_range_composite.test.cpp
• verify/yosupo_ds/ds_point_set_range_composite_2.test.cpp
• verify/yosupo_ds/ds_range_affine_range_sum.test.cpp

Code

#ifndef KK2_MATH_MONOID_AFFINE_HPP
#define KK2_MATH_MONOID_AFFINE_HPP 1

#include "../../type_traits/io.hpp"

namespace kk2 {

namespace monoid {

template <class S> struct Affine {
    static constexpr bool commutative = false;
    using M = Affine;
    S a, b; // x \mapsto ax + b

    Affine() : a(S(1)), b(S(0)) {};
    Affine(S a, S b) : a(a), b(b) {}
    inline S eval(S x) const { return a * x + b; }
    // l \circ r
    inline static M op(M l, M r) { return M(l.a * r.a, l.a * r.b + l.b); }
    inline static M unit() { return M(); }
    inline static M inv(M f) { return M(S(1) / f.a, -f.b / f.a); }
    bool operator==(const M &rhs) const { return a == rhs.a and b == rhs.b; }
    bool operator!=(const M &rhs) const { return a != rhs.a or b != rhs.b; }

    template <class OStream, is_ostream_t<OStream> * = nullptr>
    friend OStream &operator<<(OStream &os, const M &x) {
        return os << x.a << " " << x.b;
    }

    template <class IStream, is_istream_t<IStream> * = nullptr>
    friend IStream &operator>>(IStream &is, M &x) {
        return is >> x.a >> x.b;
    }
};

} // namespace monoid

} // namespace kk2

#endif // KK2_MATH_MONOID_AFFINE_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 312, in update
    raise BundleErrorAt(path, i + 1, "#pragma once found in a non-first line")
onlinejudge_verify.languages.cplusplus_bundle.BundleErrorAt: type_traits/io.hpp: line 4: #pragma once found in a non-first line

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