test/verify/aoj-cgl-1-a.test.cpp

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• Last update: 2024-07-28 19:56:12+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A

Depends on

• geometry/base.hpp
• geometry/line.hpp
• geometry/point.hpp
• geometry/projection.hpp
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A
// competitive-verifier: ERROR 0.00000001

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

#include "../../geometry/projection.hpp"

using namespace geometry;

int main() {
  Line l;
  cin >> l;
  int Q;
  cin >> Q;
  while(Q--) {
    Point p;
    cin >> p;
    cout << projection(l, p) << "\n";
  }
}

#line 1 "test/verify/aoj-cgl-1-a.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A
// competitive-verifier: ERROR 0.00000001

#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
  os << p.first << " " << p.second;
  return os;
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  for (int i = 0; i < (int)v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
  return a > b && (a = b, true);
}

template <typename T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(std::forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{std::forward<F>(f)};
}
#line 5 "test/verify/aoj-cgl-1-a.test.cpp"

#line 2 "geometry/projection.hpp"

#line 2 "geometry/base.hpp"

namespace geometry {
using Real = double;
const Real EPS = 1e-8;
const Real PI = acos(static_cast<Real>(-1));

enum { OUT, ON, IN };

inline int sign(const Real &r) { return r <= -EPS ? -1 : r >= EPS ? 1 : 0; }

inline bool equals(const Real &a, const Real &b) { return sign(a - b) == 0; }
}  // namespace geometry
#line 3 "geometry/point.hpp"

namespace geometry {
using Point = complex<Real>;

istream &operator>>(istream &is, Point &p) {
  Real a, b;
  is >> a >> b;
  p = Point(a, b);
  return is;
}

ostream &operator<<(ostream &os, const Point &p) {
  return os << real(p) << " " << imag(p);
}

Point operator*(const Point &p, const Real &d) {
  return Point(real(p) * d, imag(p) * d);
}

// rotate point p counterclockwise by theta rad
Point rotate(Real theta, const Point &p) {
  return Point(cos(theta) * real(p) - sin(theta) * imag(p),
               sin(theta) * real(p) + cos(theta) * imag(p));
}

Real cross(const Point &a, const Point &b) {
  return real(a) * imag(b) - imag(a) * real(b);
}

Real dot(const Point &a, const Point &b) {
  return real(a) * real(b) + imag(a) * imag(b);
}

bool compare_x(const Point &a, const Point &b) {
  return equals(real(a), real(b)) ? imag(a) < imag(b) : real(a) < real(b);
}

bool compare_y(const Point &a, const Point &b) {
  return equals(imag(a), imag(b)) ? real(a) < real(b) : imag(a) < imag(b);
}

using Points = vector<Point>;
}  // namespace geometry
#line 3 "geometry/line.hpp"

namespace geometry {
struct Line {
  Point a, b;

  Line() = default;

  Line(const Point &a, const Point &b) : a(a), b(b) {}

  Line(const Real &A, const Real &B, const Real &C) {  // Ax+By=C
    if (equals(A, 0)) {
      assert(!equals(B, 0));
      a = Point(0, C / B);
      b = Point(1, C / B);
    } else if (equals(B, 0)) {
      a = Point(C / A, 0);
      b = Point(C / A, 1);
    } else if (equals(C, 0)) {
      a = Point(0, C / B);
      b = Point(1, (C - A) / B);
    } else {
      a = Point(0, C / B);
      b = Point(C / A, 0);
    }
  }

  friend ostream &operator<<(ostream &os, Line &l) {
    return os << l.a << " to " << l.b;
  }

  friend istream &operator>>(istream &is, Line &l) { return is >> l.a >> l.b; }
};

using Lines = vector<Line>;
}  // namespace geometry
#line 5 "geometry/projection.hpp"

namespace geometry {
// http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A
Point projection(const Line &l, const Point &p) {
  auto t = dot(p - l.a, l.a - l.b) / norm(l.a - l.b);
  return l.a + (l.a - l.b) * t;
}
}  // namespace geometry
#line 7 "test/verify/aoj-cgl-1-a.test.cpp"

using namespace geometry;

int main() {
  Line l;
  cin >> l;
  int Q;
  cin >> Q;
  while(Q--) {
    Point p;
    cin >> p;
    cout << projection(l, p) << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_int_00.in	AC	6 ms	4 MB
g++	00_int_01.in	AC	5 ms	4 MB
g++	00_int_02.in	AC	5 ms	4 MB
g++	00_int_03.in	AC	5 ms	4 MB
g++	00_int_04.in	AC	5 ms	4 MB
g++	00_int_05.in	AC	5 ms	4 MB
g++	01_real_00.in	AC	5 ms	4 MB
g++	01_real_01.in	AC	5 ms	4 MB
g++	02_online_00.in	AC	5 ms	4 MB
g++	02_online_01.in	AC	5 ms	4 MB
g++	02_online_02.in	AC	5 ms	4 MB
g++	02_online_03.in	AC	5 ms	4 MB
g++	03_horizontal_00.in	AC	5 ms	4 MB
g++	03_horizontal_01.in	AC	5 ms	4 MB
g++	04_vertical_00.in	AC	5 ms	4 MB
g++	04_vertical_01.in	AC	5 ms	4 MB
g++	05_rand_00.in	AC	5 ms	4 MB
g++	05_rand_01.in	AC	5 ms	4 MB
g++	05_rand_02.in	AC	5 ms	4 MB
g++	05_rand_03.in	AC	6 ms	4 MB
g++	05_rand_04.in	AC	6 ms	4 MB
g++	05_rand_05.in	AC	6 ms	4 MB
g++	05_rand_06.in	AC	6 ms	4 MB
g++	05_rand_07.in	AC	6 ms	4 MB
g++	05_rand_08.in	AC	6 ms	4 MB
g++	05_rand_09.in	AC	6 ms	4 MB
g++	05_rand_10.in	AC	6 ms	4 MB
g++	05_rand_11.in	AC	6 ms	4 MB
g++	05_rand_12.in	AC	6 ms	4 MB
g++	05_rand_13.in	AC	6 ms	4 MB
g++	05_rand_14.in	AC	6 ms	4 MB
g++	05_rand_15.in	AC	6 ms	4 MB
clang++	00_int_00.in	AC	5 ms	4 MB
clang++	00_int_01.in	AC	5 ms	4 MB
clang++	00_int_02.in	AC	5 ms	4 MB
clang++	00_int_03.in	AC	5 ms	4 MB
clang++	00_int_04.in	AC	5 ms	4 MB
clang++	00_int_05.in	AC	5 ms	4 MB
clang++	01_real_00.in	AC	5 ms	4 MB
clang++	01_real_01.in	AC	5 ms	4 MB
clang++	02_online_00.in	AC	5 ms	4 MB
clang++	02_online_01.in	AC	5 ms	4 MB
clang++	02_online_02.in	AC	5 ms	4 MB
clang++	02_online_03.in	AC	5 ms	4 MB
clang++	03_horizontal_00.in	AC	5 ms	4 MB
clang++	03_horizontal_01.in	AC	5 ms	4 MB
clang++	04_vertical_00.in	AC	5 ms	4 MB
clang++	04_vertical_01.in	AC	5 ms	4 MB
clang++	05_rand_00.in	AC	5 ms	4 MB
clang++	05_rand_01.in	AC	5 ms	4 MB
clang++	05_rand_02.in	AC	5 ms	4 MB
clang++	05_rand_03.in	AC	6 ms	4 MB
clang++	05_rand_04.in	AC	6 ms	4 MB
clang++	05_rand_05.in	AC	6 ms	4 MB
clang++	05_rand_06.in	AC	6 ms	4 MB
clang++	05_rand_07.in	AC	6 ms	4 MB
clang++	05_rand_08.in	AC	6 ms	4 MB
clang++	05_rand_09.in	AC	6 ms	4 MB
clang++	05_rand_10.in	AC	6 ms	4 MB
clang++	05_rand_11.in	AC	6 ms	4 MB
clang++	05_rand_12.in	AC	6 ms	4 MB
clang++	05_rand_13.in	AC	6 ms	4 MB
clang++	05_rand_14.in	AC	6 ms	4 MB
clang++	05_rand_15.in	AC	6 ms	4 MB

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