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View the Project on GitHub Luzhiled/comp-geometry
// verification-helper: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/library/4/CGL/all/CGL_1_A // verification-helper: ERROR 0.00000001 #include "src/real-geometry/common/float-alias.hpp" #include "src/real-geometry/mapping/projection.hpp" #include "src/real-geometry/utility/io-set.hpp" #include <iostream> int main() { using R = geometry::f80; geometry::point<R> p1, p2; std::cin >> p1 >> p2; geometry::line<R> l(p1, p2); int q; std::cin >> q; while (q--) { geometry::point<R> p; std::cin >> p; auto pt = geometry::projection(l, p); std::cout << pt.x() << " " << pt.y() << std::endl; } }
#line 1 "test/aoj/cgl/1_A.test.cpp" // verification-helper: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/library/4/CGL/all/CGL_1_A // verification-helper: ERROR 0.00000001 #line 2 "src/real-geometry/common/float-alias.hpp" namespace geometry { using f80 = long double; using f64 = double; } #line 2 "src/real-geometry/mapping/projection.hpp" #line 2 "src/real-geometry/class/point.hpp" #line 2 "src/real-geometry/class/vector.hpp" #include <complex> #include <iostream> namespace geometry { template< typename R > class vec2d : public std::complex< R > { using complex = std::complex< R >; public: using complex::complex; vec2d(const complex &c): complex::complex(c) {} const R x() const { return this->real(); } const R y() const { return this->imag(); } friend vec2d operator*(const vec2d &v, const R &k) { return vec2d(v.x() * k, v.y() * k); } friend vec2d operator*(const R &k, const vec2d &v) { return vec2d(v.x() * k, v.y() * k); } friend std::istream &operator>>(std::istream &is, vec2d &v) { R x, y; is >> x >> y; v = vec2d(x, y); return is; } }; } #line 4 "src/real-geometry/class/point.hpp" #include <vector> namespace geometry { template< typename R > using point = vec2d<R>; template< typename R > using points = std::vector< point< R > >; } #line 2 "src/real-geometry/class/line.hpp" #line 2 "src/real-geometry/utility/equals/vector.hpp" #line 2 "src/real-geometry/utility/equals/real-number.hpp" #line 2 "src/real-geometry/utility/sign.hpp" #line 2 "src/real-geometry/common/const/eps.hpp" #line 4 "src/real-geometry/common/const/eps.hpp" namespace geometry { inline static f80 &eps() { static f80 EPS = 1e-10; return EPS; } void set_eps(f80 EPS) { eps() = EPS; } } #line 2 "src/real-geometry/numbers/sign.hpp" #line 2 "src/real-geometry/common/int-alias.hpp" namespace geometry { using i32 = int; using i64 = long long; } #line 4 "src/real-geometry/numbers/sign.hpp" namespace geometry::number::sign { constexpr i32 PLUS = +1; constexpr i32 ZERO = 0; constexpr i32 MINUS = -1; } #line 5 "src/real-geometry/utility/sign.hpp" namespace geometry { using namespace geometry::number::sign; template< typename R > inline int sign(R r) { if (r < -eps()) return MINUS; if (r > +eps()) return PLUS; return ZERO; } } #line 4 "src/real-geometry/utility/equals/real-number.hpp" namespace geometry { template< typename R > bool equals(R a, R b) { return sign(a - b) == 0; } } #line 5 "src/real-geometry/utility/equals/vector.hpp" namespace geometry { template< typename R > bool equals(const vec2d<R> &a, const vec2d<R> &b) { return equals(a.x(), b.x()) and equals(a.y(), b.y()); } } #line 5 "src/real-geometry/class/line.hpp" #include <cassert> #line 8 "src/real-geometry/class/line.hpp" namespace geometry { template< typename R > class line { using P = point<R>; public: P a, b; line() = default; line(P a, P b) : a(a), b(b) { assert(not equals(a, b)); } }; template< typename R > using lines = std::vector< line<R> >; } #line 2 "src/real-geometry/operation/inner-product.hpp" #line 4 "src/real-geometry/operation/inner-product.hpp" namespace geometry { template< typename R > R inner_product(const vec2d<R> &a, const vec2d<R> &b) { return a.x() * b.x() + a.y() * b.y(); } } #line 6 "src/real-geometry/mapping/projection.hpp" #line 8 "src/real-geometry/mapping/projection.hpp" namespace geometry { template< typename R > point<R> projection(const line<R> &l, const point<R> &p) { R t = inner_product<R>(p - l.a, l.a - l.b) / std::norm(l.a - l.b); return l.a + (l.a - l.b) * t; } } #line 2 "src/real-geometry/utility/io-set.hpp" #include <iomanip> namespace geometry { class IoSetup { using u32 = unsigned int; void set(std::ostream &os, u32 precision) { os << std::fixed << std::setprecision(precision); } public: IoSetup(u32 precision = 15) { std::cin.tie(0); std::ios::sync_with_stdio(0); set(std::cout, precision); set(std::cerr, precision); } } iosetup; } #line 7 "test/aoj/cgl/1_A.test.cpp" #line 9 "test/aoj/cgl/1_A.test.cpp" int main() { using R = geometry::f80; geometry::point<R> p1, p2; std::cin >> p1 >> p2; geometry::line<R> l(p1, p2); int q; std::cin >> q; while (q--) { geometry::point<R> p; std::cin >> p; auto pt = geometry::projection(l, p); std::cout << pt.x() << " " << pt.y() << std::endl; } }