This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM \
"https://onlinejudge.u-aizu.ac.jp/courses/library/4/CGL/1/CGL_1_C"
#include "../../geometry/base_ld.hpp"
#include "../../template/template.hpp"
using namespace lib;
int main() {
std::cout << std::fixed << std::setprecision(15);
long double x1, y1, x2, y2;
std::cin >> x1 >> y1 >> x2 >> y2;
vec p0(x1, y1), p1(x2, y2);
int q;
std::cin >> q;
while (q--) {
double x, y;
std::cin >> x >> y;
int flag = isp(p0, p1, vec(x, y));
std::string ans;
if (flag == 1) {
ans = "COUNTER_CLOCKWISE";
} else if (flag == -1) {
ans = "CLOCKWISE";
} else if (flag == -2) {
ans = "ONLINE_BACK";
} else if (flag == 2) {
ans = "ONLINE_FRONT";
} else {
ans = "ON_SEGMENT";
}
std::cout << ans << std::endl;
}
}
#line 1 "test/geometry/Counter_Clockwise.test.cpp"
#define PROBLEM \
"https://onlinejudge.u-aizu.ac.jp/courses/library/4/CGL/1/CGL_1_C"
#line 2 "geometry/base_ld.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_ld.hpp"
namespace lib {
using vec = complex<ld>;
const ld PI = acos(-1);
void ldout(int len = 20) {
cout << fixed << setprecision(len);
}
int sgn(ld a, const ld eps = 1e-7) {
return (a < -eps) ? -1 : (a > eps) ? 1 : 0;
}
bool same_vec(vec a, vec b) {
a -= b;
return sgn(a.real()) == 0 && sgn(a.imag()) == 0;
}
ld dot(const vec &a, const vec &b) {
return (conj(a) * b).real();
}
ld cross(const vec &a, const vec &b) {
return (conj(a) * b).imag();
}
int isp(const vec &a, const vec &b, const vec &c) {
int cross_sgn = sgn(cross(b - a, c - a));
if (cross_sgn == 0) {
if (sgn(dot(b - a, c - a)) < 0) return -2;
if (sgn(dot(a - b, c - b)) < 0) return 2;
}
return cross_sgn;
}
vec rot90(const vec &a) {
return {-a.imag(), a.real()};
}
vec rot(const vec &a, ld rad) {
return a * vec(cosl(rad), sinl(rad));
}
bool comp_for_argument_sort(const vec &lhs, const vec &rhs) {
// if (abs(arg(lhs)-arg(rhs)) < eps) return false; // need ?
return arg(lhs) < arg(rhs);
}
} // namespace lib
#line 6 "test/geometry/Counter_Clockwise.test.cpp"
using namespace lib;
int main() {
std::cout << std::fixed << std::setprecision(15);
long double x1, y1, x2, y2;
std::cin >> x1 >> y1 >> x2 >> y2;
vec p0(x1, y1), p1(x2, y2);
int q;
std::cin >> q;
while (q--) {
double x, y;
std::cin >> x >> y;
int flag = isp(p0, p1, vec(x, y));
std::string ans;
if (flag == 1) {
ans = "COUNTER_CLOCKWISE";
} else if (flag == -1) {
ans = "CLOCKWISE";
} else if (flag == -2) {
ans = "ONLINE_BACK";
} else if (flag == 2) {
ans = "ONLINE_FRONT";
} else {
ans = "ON_SEGMENT";
}
std::cout << ans << std::endl;
}
}