#pragma once
#include "../../ds/p/lib.hpp"
namespace tifa_libs {
template <class FP>
CEXP FP dist3_PP(point3d<FP> CR a, point3d<FP> CR b) NE { return (a - b).norm(); }
} // namespace tifa_libs
#line 2 "src/geo3d/dis/pp/lib.hpp"
#line 2 "src/geo3d/ds/p/lib.hpp"
#line 2 "src/util/traits/others/lib.hpp"
// clang-format off
#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/util/traits/others/lib.hpp"
namespace tifa_libs {
//! only for template without non-type argument
template <class, template <class...> class> CEXP bool specialized_from_v = false;
template <template <class...> class T, class... Args> CEXP bool specialized_from_v<T<Args...>, T> = true;
static_assert(specialized_from_v<vecu, std::vector>);
template <class T> concept container_c = common_range<T> && !std::is_array_v<std::remove_cvref_t<T>> && !std::same_as<std::remove_cvref_t<T>, strn> && !std::same_as<std::remove_cvref_t<T>, strnv>;
template <class T> concept istream_c = std::derived_from<T, std::istream> || std::derived_from<T, std::wistream> || requires(T is) { is.peek(); };
template <class T> concept ostream_c = std::derived_from<T, std::ostream> || std::derived_from<T, std::wostream> || requires(T os) { os.flush(); };
} // namespace tifa_libs
// clang-format on
#line 4 "src/geo3d/ds/p/lib.hpp"
namespace tifa_libs {
template <class FP>
struct point3d {
using FP_t = FP;
FP x, y, z;
CEXP point3d() = default;
CEXP point3d(FP x, FP y, FP z) NE : x{x}, y{y}, z{z} {}
friend auto& operator>>(istream_c auto& is, point3d& p) NE { return is >> p.x >> p.y >> p.z; }
friend auto& operator<<(ostream_c auto& os, point3d CR p) NE { return os << p.x << ' ' << p.y << ' ' << p.z; }
// s + (t - s) * r
template <std::floating_point T>
friend CEXP point3d lerp(point3d CR s, point3d CR t, T r) NE { return s + (t - s) * r; }
friend CEXP point3d mid_point(point3d CR s, point3d CR t) NE { return lerp(s, t, .5); }
CEXP point3d& operator+=(FP n) NE {
this->x += n, this->y += n, this->z += n;
return *this;
}
CEXP point3d& operator-=(FP n) NE {
this->x -= n, this->y -= n, this->z -= n;
return *this;
}
CEXP point3d& operator*=(FP n) NE {
this->x *= n, this->y *= n, this->z *= n;
return *this;
}
CEXP point3d& operator/=(FP n) NE {
this->x /= n, this->y /= n, this->z /= n;
return *this;
}
CEXP point3d operator+(FP n) CNE { return point3d(*this) += n; }
CEXP point3d operator-(FP n) CNE { return point3d(*this) -= n; }
CEXP point3d operator*(FP n) CNE { return point3d(*this) *= n; }
CEXP point3d operator/(FP n) CNE { return point3d(*this) /= n; }
CEXP point3d& operator+=(point3d CR p) NE {
this->x += p.x, this->y += p.y, this->z += p.z;
return *this;
}
CEXP point3d& operator-=(point3d CR p) NE {
this->x -= p.x, this->y -= p.y, this->z -= p.z;
return *this;
}
CEXP point3d operator+(point3d CR p) CNE { return point3d(*this) += p; }
CEXP point3d operator-(point3d CR p) CNE { return point3d(*this) -= p; }
CEXP point3d operator-() CNE { return point3d{-x, -y, -z}; }
CEXP auto operator<=>(point3d CR p) CNE {
if (auto c = comp(x, p.x); c) return c;
if (auto c = comp(y, p.y); c) return c;
return comp(z, p.z);
}
CEXP bool operator==(point3d CR p) CNE { return (*this <=> p) == 0; }
CEXP FP operator*(point3d CR p) CNE { return x * p.x + y * p.y + z * p.z; }
CEXP point3d operator^(point3d CR p) CNE { return point3d{y * p.z - z * p.y, z * p.x - x * p.z, x * p.y - y * p.x}; }
CEXP auto norm2() CNE { return x * x + y * y + z * z; }
CEXP auto norm() CNE {
static_assert(std::floating_point<FP>);
return std::hypot(x, y, z);
}
CEXP point3d& do_unit() NE { return *this /= norm(); }
CEXP point3d& do_rotx(FP theta) NE {
const FP y0 = y, z0 = z, ct = std::cos(theta), st = std::sin(theta);
y = y0 * ct - z0 * st, z = y0 * st + z0 * ct;
return *this;
}
CEXP point3d& do_roty(FP theta) NE {
const FP x0 = x, z0 = z, ct = std::cos(theta), st = std::sin(theta);
z = z0 * ct - x0 * st, x = z0 * st + x0 * ct;
return *this;
}
CEXP point3d& do_rotz(FP theta) NE {
const FP x0 = x, y0 = y, ct = std::cos(theta), st = std::sin(theta);
x = x0 * ct - y0 * st, y = x0 * st + y0 * ct;
return *this;
}
CEXP point3d& do_rot(point3d e, FP theta) NE {
e.do_unit();
const FP a = e.x, b = e.y, c = e.z, x0 = x, y0 = y, z0 = z, ct = std::cos(theta), st = std::sin(theta);
x = x0 * (ct + a * a * (1 - ct)) + y0 * (a * b * (1 - ct) - c * st) + z0 * (a * c * (1 - ct) + b * st);
y = x0 * (a * b * (1 - ct) + c * st) + y0 * (ct + b * b * (1 - ct)) + z0 * (b * c * (1 - ct) - a * st);
z = x0 * (a * c * (1 - ct) - b * st) + y0 * (b * c * (1 - ct) + a * st) + z0 * (ct + c * c * (1 - ct));
return *this;
}
};
} // namespace tifa_libs
#line 4 "src/geo3d/dis/pp/lib.hpp"
namespace tifa_libs {
template <class FP>
CEXP FP dist3_PP(point3d<FP> CR a, point3d<FP> CR b) NE { return (a - b).norm(); }
} // namespace tifa_libs
src/geo3d/dis/pp/lib.hpp