geometry/base_ll.hpp

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• Last update: 2023-05-17 22:41:14+09:00
• Include: #include "geometry/base_ll.hpp"

Depends on

• テンプレート (template/template.hpp)

Code

#pragma once

#include "../template/template.hpp"

namespace lib {

using vec = complex<ll>;

ll dot(const vec &a, const vec &b) {
    return (conj(a) * b).real();
}

ll cross(const vec &a, const vec &b) {
    return (conj(a) * b).imag();
}

// e : vec(OX)
// orthant k : [ pi/2 * k, pi/2 * (k+1) ) rad
// orthant 4 is NOT expected
int orthant(const vec &p, const vec &e = vec(1, 0)) {
    ll _dot = dot(e, p), _cross = cross(e, p);
    if (_dot > 0 && _cross >= 0) return 0;
    if (_dot <= 0 && _cross > 0) return 1;
    if (_dot < 0 && _cross <= 0) return 2;
    if (_dot >= 0 && _cross < 0) return 3;
    return 4;
}

// usage :
//   vector<vec>> a;
//   sort(all(a),comp_for_argument_sort);
bool comp_for_argument_sort(const vec &lhs, const vec &rhs) {
    int pl = orthant(lhs), pr = orthant(rhs);
    if (pl == pr) {
        return cross(lhs, rhs) > 0;
    }
    return pl < pr;
}

}  // namespace lib

#line 2 "geometry/base_ll.hpp"

#line 2 "template/template.hpp"

#include <bits/stdc++.h>

#define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++)
#define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--)
#define all(v) v.begin(), v.end()

using ll = long long;
using ld = long double;
using ull = unsigned long long;

template <typename T> bool chmin(T &a, const T &b) {
    if (a <= b) return false;
    a = b;
    return true;
}
template <typename T> bool chmax(T &a, const T &b) {
    if (a >= b) return false;
    a = b;
    return true;
}

namespace lib {

using namespace std;

}  // namespace lib

// using namespace lib;
#line 4 "geometry/base_ll.hpp"

namespace lib {

using vec = complex<ll>;

ll dot(const vec &a, const vec &b) {
    return (conj(a) * b).real();
}

ll cross(const vec &a, const vec &b) {
    return (conj(a) * b).imag();
}

// e : vec(OX)
// orthant k : [ pi/2 * k, pi/2 * (k+1) ) rad
// orthant 4 is NOT expected
int orthant(const vec &p, const vec &e = vec(1, 0)) {
    ll _dot = dot(e, p), _cross = cross(e, p);
    if (_dot > 0 && _cross >= 0) return 0;
    if (_dot <= 0 && _cross > 0) return 1;
    if (_dot < 0 && _cross <= 0) return 2;
    if (_dot >= 0 && _cross < 0) return 3;
    return 4;
}

// usage :
//   vector<vec>> a;
//   sort(all(a),comp_for_argument_sort);
bool comp_for_argument_sort(const vec &lhs, const vec &rhs) {
    int pl = orthant(lhs), pr = orthant(rhs);
    if (pl == pr) {
        return cross(lhs, rhs) > 0;
    }
    return pl < pr;
}

}  // namespace lib

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