Luzhiled's Library

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View the Project on GitHub ei1333/library

:heavy_check_mark: test/verify/aoj-cgl-7-e.test.cpp

Depends on

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_E
// competitive-verifier: ERROR 0.000001

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

#include "../../geometry/cross_point_cc.hpp"

using namespace geometry;

int main() {
  Circle x, y;
  cin >> x.p >> x.r >> y.p >> y.r;
  auto ret = cross_point_cc(x, y);
  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-e.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_E
// competitive-verifier: ERROR 0.000001

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

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;

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-e.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/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 4 "geometry/cross_point_cc.hpp"

namespace geometry {
  // http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_7_E
  Points cross_point_cc(const Circle &c1, const Circle &c2) {
    Real d = abs(c1.p - c2.p), r = c1.r + c2.r;
    if(sign(d - r) > 0 or sign(d + c1.r - c2.r) < 0) return {};
    Real a = acos((norm(c1.r) - norm(c2.r) + norm(d)) / (2 * c1.r * d));
    Real t = arg(c2.p - c1.p);
    Point p = c1.p + polar(c1.r, t + a);
    Point q = c1.p + polar(c1.r, t - a);
    if(equals(real(p), real(q)) && equals(imag(p), imag(q))) return {p};
    return {p, q};
  }
}
#line 7 "test/verify/aoj-cgl-7-e.test.cpp"

using namespace geometry;

int main() {
  Circle x, y;
  cin >> x.p >> x.r >> y.p >> y.r;
  auto ret = cross_point_cc(x, y);
  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 :heavy_check_mark: AC 6 ms 4 MB
g++ 00_sample_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 01_identical_00.in :heavy_check_mark: AC 6 ms 4 MB
g++ 01_identical_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_00.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_02.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_03.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_04.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_05.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_06.in :heavy_check_mark: AC 6 ms 4 MB
g++ 02_rand_07.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_00.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_02.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_03.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_04.in :heavy_check_mark: AC 6 ms 4 MB
g++ 03_rand_05.in :heavy_check_mark: AC 6 ms 4 MB
g++ 04_corner_00.in :heavy_check_mark: AC 6 ms 4 MB
g++ 04_corner_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 04_corner_02.in :heavy_check_mark: AC 6 ms 4 MB
g++ 05_extreme_00.in :heavy_check_mark: AC 6 ms 4 MB
g++ 05_extreme_01.in :heavy_check_mark: AC 6 ms 4 MB
g++ 06_critical_00.in :heavy_check_mark: AC 7 ms 4 MB
g++ 06_critical_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 00_sample_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 00_sample_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 01_identical_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 01_identical_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_02.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_03.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_04.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_05.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_06.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 02_rand_07.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_02.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_03.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_04.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 03_rand_05.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 04_corner_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 04_corner_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 04_corner_02.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 05_extreme_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 05_extreme_01.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 06_critical_00.in :heavy_check_mark: AC 6 ms 4 MB
clang++ 06_critical_01.in :heavy_check_mark: AC 6 ms 4 MB
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