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#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A" #define 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" #define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=CGL_1_A" #define ERROR 0.00000001 #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-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; } } #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 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 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"; } }