#pragma once
#include "../../lfsr_bm/lib.hpp"
namespace tifa_libs {
// OK for matsp
template <class Mat, class Gn, class Is0>
requires requires(Is0 is0, TPN Mat::val_t t) {
{ is0(t) } -> std::same_as<bool>;
}
auto det_rd(Mat mat, Gn& gen, Is0&& is0) NE {
using T = TPN Mat::val_t;
cu32 n = mat.row();
assert(n == mat.col());
auto gen2 = [&gen](u32 n) NE {
vec<T> v(n);
generate(v, gen);
return v;
};
vec<T> u = gen2(n), v = gen2(n), diag = gen2(n), _(n * 2);
flt_ (u32, i, 0, n * 2) {
_[i] = std::transform_reduce(begin(u), end(u), begin(v), T{});
flt_ (u32, i, 0, n) v[i] *= diag[i];
v = mat.lproj(v);
}
T res = lfsr_bm(_, std::forward<Is0>(is0)).back() / std::reduce(begin(diag), end(diag), T(1), std::multiplies<T>());
retif_(((n & 1) == 1), -res, res);
}
} // namespace tifa_libs
#line 2 "src/lalg/mat/det_rd/lib.hpp"
#line 2 "src/lalg/lfsr_bm/lib.hpp"
#line 2 "src/util/alias/others/lib.hpp"
#line 2 "src/util/consts/lib.hpp"
#line 2 "src/util/alias/num/lib.hpp"
#line 2 "src/util/util/lib.hpp"
// https://github.com/Tiphereth-A/CP-lib
#include <bits/extc++.h>
// clang-format off
namespace tifa_libs {
#define CEXP constexpr
#define CEXPE constexpr explicit
#define CR const&
#define CP const*
#define PC *const
#define CPC const*const
#define TPN typename
#define NE noexcept
#define CNE const noexcept
#define ND [[nodiscard]]
#define cT_(...) std::conditional_t<sizeof(__VA_ARGS__) <= sizeof(size_t) * 2, __VA_ARGS__, __VA_ARGS__ CR>
// NOLINTNEXTLINE(misc-const-correctness)
#define flt_(T, i, l, r, ...) for (T i = (l), i##e = (r)__VA_OPT__(, ) __VA_ARGS__; i < i##e; ++i)
#define retif_(cond, if_true, ...) if cond return if_true __VA_OPT__(; else return __VA_ARGS__)
#ifdef ONLINE_JUDGE
#undef assert
#define assert(x) 42
#endif
using namespace std::ranges;
using namespace std::literals;
template <class T>
CEXP T abs(T x) NE { retif_((x < 0), -x, x); }
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/num/lib.hpp"
// clang-format off
namespace tifa_libs {
#define mk0_(w, t) using w = t; using c##w = const t
#define mk_(w, t) mk0_(w, t); CEXP w operator""_##w(unsigned long long x) NE { return (w)x; }
mk_(i8, int8_t) mk_(u8, uint8_t) mk_(i16, int16_t) mk_(u16, uint16_t) mk_(i32, int32_t) mk_(u32, uint32_t) mk_(i64, int64_t) mk_(u64, uint64_t) mk_(isz, ssize_t) mk_(usz, size_t) mk_(chr, char) mk_(schr, signed char) mk_(uchr, unsigned char) mk_(sint, signed) mk_(uint, unsigned);
mk0_(i128, __int128_t); mk0_(u128, __uint128_t); mk0_(f32, float); mk0_(f64, double); mk0_(f128, long double);
#undef mk0_
#undef mk_
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/consts/lib.hpp"
// clang-format off
namespace tifa_libs {
using std::numbers::pi_v;
template <std::floating_point FP>
inline FP eps_v = std::sqrt(std::numeric_limits<FP>::epsilon());
template <std::floating_point FP>
CEXP void set_eps(FP v) NE { eps_v<FP> = v; }
CEXP u32 TIME = ((__TIME__[0] & 15) << 20) | ((__TIME__[1] & 15) << 16) | ((__TIME__[3] & 15) << 12) | ((__TIME__[4] & 15) << 8) | ((__TIME__[6] & 15) << 4) | (__TIME__[7] & 15);
CEXP auto STR2U16 = [] { std::array<u32, 65536> table{}; table.fill(-1_u32); flt_ (u32, i, 48, 58) flt_ (u32, j, 48, 58) table[i << 8 | j] = (j & 15) * 10 + (i & 15); return table; }();
inline const auto fn_0 = [](auto&&...) NE {};
inline const auto fn_is0 = [](auto x) NE { return x == 0; };
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/others/lib.hpp"
namespace tifa_libs {
template <class T>
struct chash {
CEXP static u64 C = u64(pi_v<f128> * 2e18) | 71;
CEXP u64 operator()(T x) CNE { return __builtin_bswap64(((u64)x ^ TIME) * C); }
};
// clang-format off
#define mk_(w, t) using w = t; using c##w = const t;
mk_(strn, std::string) mk_(strnv, std::string_view)
#undef mk_
template <class T> struct edge_t { T w; u32 u, v; CEXP auto operator<=>(edge_t CR) const = default; }; template <class T> using cedge_t = const edge_t<T>;
template <class T> struct pt3 { T _0, _1, _2; CEXP auto operator<=>(pt3 CR) const = default; }; template <class T> using cpt3 = const pt3<T>;
template <class T> struct pt4 { T _0, _1, _2, _3; CEXP auto operator<=>(pt4 CR) const = default; }; template <class T> using cpt4 = const pt4<T>;
#define mkT_(w, t, ...) template <class T> using w = t __VA_OPT__(, ) __VA_ARGS__; template <class T> using c##w = const t __VA_OPT__(, ) __VA_ARGS__;
mkT_(ptt, std::pair<T, T>) mkT_(alc, std::pmr::polymorphic_allocator<T>) mkT_(vec, std::vector<T>) mkT_(vvec, vec<vec<T>>) mkT_(v3ec, vvec<vec<T>>) mkT_(vecpt, vec<ptt<T>>) mkT_(vvecpt, vvec<ptt<T>>) mkT_(ptvec, ptt<vec<T>>) mkT_(ptvvec, ptt<vvec<T>>)
#undef mkT_
template <class T> using itl = std ::initializer_list<T>;
template <class T, usz ext = std::dynamic_extent> using spn = std::span<T const, ext>;
template <class T, usz N> using arr = std::array<T, N>; template <class T, usz N> using carr = std::array<const T, N>;
template <class U, class T> using vecp = vec<std::pair<U, T>>; template <class U, class T> using vvecp = vvec<std::pair<U, T>>;
template <class U, class T> using vvecp = vvec<std::pair<U, T>>; template <class U, class T> using vvvecp = vvec<vvec<std::pair<U, T>>>;
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class T, class C = std::less<T>> using set = __gnu_pbds::tree<T, __gnu_pbds::null_type, C>;
template <class K, class V, class C = std::less<K>> using map = __gnu_pbds::tree<K, V, C>;
// hset<u64> s({}, {}, {}, {}, {1<<16});
template <class T, class HF = chash<T>> using hset = __gnu_pbds::gp_hash_table<T, __gnu_pbds::null_type, HF>;
// hmap<u64, int> s({}, {}, {}, {}, {1<<16});
template <class K, class V, class HF = chash<K>> using hmap = __gnu_pbds::gp_hash_table<K, V, HF>;
#else
using std::set, std::map;
template <class T, class HF = chash<T>> using hset = std::unordered_set<T, HF>;
template <class K, class V, class HF = chash<K>> using hmap = std::unordered_map<K, V, HF>;
#endif
#ifdef PB_DS_PRIORITY_QUEUE_HPP
template <class T, class C = std::less<T>> using pq = __gnu_pbds::priority_queue<T, C>;
#else
template <class T, class C = std::less<T>> using pq = std::priority_queue<T, vec<T>, C>;
#endif
template <class T> using pqg = pq<T, std::greater<T>>;
// clang-format on
#define mk1_(V, A, T) using V##A = V<T>;
#define mk_(V, A, T) mk1_(V, A, T) mk1_(c##V, A, T)
#define mk(A, T) mk_(edge_t, A, T) mk_(ptt, A, T) mk_(pt3, A, T) mk_(pt4, A, T) mk_(vec, A, T) mk_(vvec, A, T) mk_(v3ec, A, T) mk_(vecpt, A, T) mk_(vvecpt, A, T) mk_(ptvec, A, T) mk_(ptvvec, A, T) mk1_(spn, A, T) mk1_(itl, A, T)
mk(b, bool) mk(c, chr) mk(i, i32) mk(u, u32) mk(ii, i64) mk(uu, u64) mk(t, isz) mk(z, usz) mk(f, f32) mk(d, f64) mk(s, strn);
#undef mk
#undef mk_
#undef mk1_
} // namespace tifa_libs
#line 4 "src/lalg/lfsr_bm/lib.hpp"
namespace tifa_libs {
template <class T, class Is0>
requires requires(Is0 is0, T t) {
{ is0(t) } -> std::same_as<bool>;
}
CEXP vec<T> lfsr_bm(vec<T> CR s, Is0&& is0) NE {
vec<T> C{1}, B(C);
T b(1);
for (u32 n = 0, n_ed = (u32)s.size(), l = 0, x = 1; n < n_ed; ++n) {
T d(s[n]);
flt_ (u32, i, 1, l + 1) d += C[i] * s[n - i];
if (is0(d)) ++x;
else if (l * 2 > n) {
if (C.size() < B.size() + x) C.resize(B.size() + x);
const T _ = d / b;
for (u32 i = x, ie = (u32)B.size() + x; i < ie; ++i) C[i] -= _ * B[i - x];
++x;
} else {
vec<T> t(C);
if (C.size() < B.size() + x) C.resize(B.size() + x);
const T _ = d / b;
for (u32 i = x, ie = (u32)B.size() + x; i < ie; ++i) C[i] -= _ * B[i - x];
l = n + 1 - l, B = t, b = d, x = 1;
}
}
return C;
}
} // namespace tifa_libs
#line 4 "src/lalg/mat/det_rd/lib.hpp"
namespace tifa_libs {
// OK for matsp
template <class Mat, class Gn, class Is0>
requires requires(Is0 is0, TPN Mat::val_t t) {
{ is0(t) } -> std::same_as<bool>;
}
auto det_rd(Mat mat, Gn& gen, Is0&& is0) NE {
using T = TPN Mat::val_t;
cu32 n = mat.row();
assert(n == mat.col());
auto gen2 = [&gen](u32 n) NE {
vec<T> v(n);
generate(v, gen);
return v;
};
vec<T> u = gen2(n), v = gen2(n), diag = gen2(n), _(n * 2);
flt_ (u32, i, 0, n * 2) {
_[i] = std::transform_reduce(begin(u), end(u), begin(v), T{});
flt_ (u32, i, 0, n) v[i] *= diag[i];
v = mat.lproj(v);
}
T res = lfsr_bm(_, std::forward<Is0>(is0)).back() / std::reduce(begin(diag), end(diag), T(1), std::multiplies<T>());
retif_(((n & 1) == 1), -res, res);
}
} // namespace tifa_libs
src/lalg/mat/det_rd/lib.hpp