test/verify/aoj-cgl-7-d.test.cpp

• View this file on GitHub
• Last update: 2024-04-24 02:34:04+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_D

Depends on

• geometry/base.hpp
• geometry/circle.hpp
• geometry/cross_point_cl.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_7_D
// competitive-verifier: ERROR 0.000001

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

#include "../../geometry/cross_point_cl.hpp"

using namespace geometry;

int main() {
  Circle c;
  cin >> c.p >> c.r;
  int Q;
  cin >> Q;
  while(Q--) {
    Line l;
    cin >> l;
    auto ret = cross_point_cl(c, l);
    if(ret.size() == 1) ret.emplace_back(ret[0]);
    if(!compare_x(ret[0], ret[1])) swap(ret[0], ret[1]);
    cout << ret[0] << " " << ret[1] << "\n";
  }
}

#line 1 "test/verify/aoj-cgl-7-d.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_D
// competitive-verifier: ERROR 0.000001

#line 1 "template/template.hpp"
#include<bits/stdc++.h>

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(forward< F >(f)) {}

  template< typename... Args >
  decltype(auto) operator()(Args &&... args) const {
    return F::operator()(*this, forward< Args >(args)...);
  }
};
 
template< typename F >
inline decltype(auto) MFP(F &&f) {
  return FixPoint< F >{forward< F >(f)};
}
#line 5 "test/verify/aoj-cgl-7-d.test.cpp"

#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;
  }
}
#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 >;
}
#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 {
        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 >;
}
#line 3 "geometry/circle.hpp"

namespace geometry {
  struct Circle {
    Point p;
    Real r{};

    Circle() = default;

    Circle(const Point &p, const Real &r) : p(p), r(r) {}
  };

  using Circles = vector< Circle >;
}
#line 2 "geometry/projection.hpp"

#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;
  }
}
#line 6 "geometry/cross_point_cl.hpp"

namespace geometry {
  // http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_D
  Points cross_point_cl(const Circle &c, const Line &l) {
    Point pr = projection(l, c.p);
    if(equals(abs(pr - c.p), c.r)) return {pr};
    Point e = (l.b - l.a) / abs(l.b - l.a);
    auto k = sqrt(norm(c.r) - norm(pr - c.p));
    return {pr - e * k, pr + e * k};
  }
}
#line 7 "test/verify/aoj-cgl-7-d.test.cpp"

using namespace geometry;

int main() {
  Circle c;
  cin >> c.p >> c.r;
  int Q;
  cin >> Q;
  while(Q--) {
    Line l;
    cin >> l;
    auto ret = cross_point_cl(c, l);
    if(ret.size() == 1) ret.emplace_back(ret[0]);
    if(!compare_x(ret[0], ret[1])) swap(ret[0], ret[1]);
    cout << ret[0] << " " << ret[1] << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_00.in	AC	6 ms	4 MB
g++	01_general_00.in	AC	6 ms	4 MB
g++	02_corner_00.in	AC	6 ms	4 MB
g++	03_maximum_00.in	AC	6 ms	4 MB
g++	04_rand_00.in	AC	6 ms	4 MB
g++	04_rand_01.in	AC	6 ms	4 MB
g++	04_rand_02.in	AC	6 ms	4 MB
g++	04_rand_03.in	AC	6 ms	4 MB
g++	05_rand_00.in	AC	6 ms	4 MB
g++	05_rand_01.in	AC	6 ms	4 MB
g++	05_rand_02.in	AC	6 ms	4 MB
g++	05_rand_03.in	AC	6 ms	4 MB
clang++	00_sample_00.in	AC	6 ms	4 MB
clang++	01_general_00.in	AC	6 ms	4 MB
clang++	02_corner_00.in	AC	6 ms	4 MB
clang++	03_maximum_00.in	AC	6 ms	4 MB
clang++	04_rand_00.in	AC	6 ms	4 MB
clang++	04_rand_01.in	AC	6 ms	4 MB
clang++	04_rand_02.in	AC	6 ms	4 MB
clang++	04_rand_03.in	AC	6 ms	4 MB
clang++	05_rand_00.in	AC	6 ms	4 MB
clang++	05_rand_01.in	AC	6 ms	4 MB
clang++	05_rand_02.in	AC	6 ms	4 MB
clang++	05_rand_03.in	AC	6 ms	4 MB

Back to top page