Update points_lines_vectors.cpp

Changes

1 changed files (+19/-24)

• Geometry/points_lines_vectors.cpp
  • @@ -1,9 +1,9 @@
    constexpr auto EPS = numeric_limits<double>::epsilon(); struct point { - int x, y; + ll x, y; point() { x = y = 0; } - point(int _x, int _y) : x(_x), y(_y) {} + point(ll _x, ll _y) : x(_x), y(_y) {} bool operator < (point p) const { return (x == p.x && y < p.y) || x < p.x; } bool operator == (point p) const { return x == p.x && y == p.y; } };
  • @@ -11,51 +11,46 @@ struct point {
    double dist(point& p1, point& p2) { return hypot(p1.x - p2.x, p1.y - p2.y); } struct vec { - int x, y; - vec(int _x, int _y) : x(_x), y(_y) {} - vec(point a, point b) { return vec(b.x - a.x, b.y - a.y); } + ll x, y; + vec(ll _x, ll _y) : x(_x), y(_y) {} + vec(point a, point b) { x = b.x - a.x, y = b.y - a.y; } }; - ll dot(vec a, vec b) { return (ll)a.x * b.x + (ll)a.y * b.y; } + ll dot(vec a, vec b) { return a.x * b.x + a.y * b.y; } - ll norm_sq(vec v) { return (ll)v.x * v.x + (ll)v.y * v.y; } + ll norm_sq(vec v) { return v.x * v.x + v.y * v.y; } - ll cross(vec a, vec b) { return (ll)a.x * b.y - (ll)a.y * b.x; } + ll cross(vec a, vec b) { return a.x * b.y - a.y * b.x; } double angle(point a, point o, point b) { - vec oa = to_vec(o, a), ob = to_vec(o, b); + vec oa(o, a), ob(o, b); return acos(dot(oa, ob) / sqrt(norm_sq(oa) * norm_sq(ob))); } - bool ccw(point p, point q, point r) { return cross(to_vec(p, q), to_vec(p, r)) > 0; } - - double angle(point a, point o, point b) { - vec oa = to_vec(o, a), ob = to_vec(o, b); - return acos(dot(oa, ob) / (sqrt(norm_sq(oa)) * sqrt(norm_sq(ob)))); - } + bool ccw(point p, point q, point r) { return cross(vec(p, q), vec(p, r)) > 0; } struct line { ll a, b, c; bool operator < (const line& l) const { return tie(a, b, c) < tie(l.a, l.b, l.c); } line(point p1, point p2) { - ll a = p2.y - p1.y, b = p1.x - p2.x, c = p1.y * p2.x - p1.x * p2.y; + a = p2.y - p1.y, b = p1.x - p2.x, c = p1.y * p2.x - p1.x * p2.y; ll d = __gcd(__gcd(abs(a), abs(b)), abs(c)); - return { a / d, b / d, c / d }; + a /= d, b /= d, c /= d; } }; double point_to_line(point p, line l) { return abs(l.a * p.x + l.b * p.y + l.c) / hypot(l.a, l.b); } line perp_bi(point p1, point p2) { - int a = 2 * (p2.x - p1.x), b = 2 * (p2.y - p1.y), c = -a * (p1.x + p2.x) / 2 - b * (p1.y + p2.y) / 2; - int d = gcd(gcd(abs(a), abs(b)), abs(c)); + ll a = 2 * (p2.x - p1.x), b = 2 * (p2.y - p1.y), c = -a * (p1.x + p2.x) / 2 - b * (p1.y + p2.y) / 2; + ll d = __gcd(__gcd(abs(a), abs(b)), abs(c)); return { a / d, b / d, c / d }; } point reflect(point p, line l) { - int x = p.x * (l.b * l.b - l.a * l.a) - 2 * l.a * (l.b * p.y + l.c); - int y = p.y * (l.a * l.a - l.b * l.b) - 2 * l.b * (l.a * p.x + l.c); - int d = l.a * l.a + l.b * l.b; + ll x = p.x * (l.b * l.b - l.a * l.a) - 2 * l.a * (l.b * p.y + l.c); + ll y = p.y * (l.a * l.a - l.b * l.b) - 2 * l.b * (l.a * p.x + l.c); + ll d = l.a * l.a + l.b * l.b; if (x % d && y % d) return { 10001, 10001 }; else return { x / d, y / d }; }
  • @@ -65,10 +60,10 @@ struct seg {
    seg(point _p1, point _p2) : p1(_p1), p2(_p2) {} }; - line::line(seg s) { return to_line(s.p1, s.p2); } + line::line(seg s) { line(s.p1, s.p2); } double point_to_seg(point p, seg s) { - int a = norm_sq(to_vec(s.p1, s.p2)), b = norm_sq(to_vec(p, s.p1)), c = norm_sq(to_vec(p, s.p2)); + ll a = norm_sq(to_vec(s.p1, s.p2)), b = norm_sq(to_vec(p, s.p1)), c = norm_sq(to_vec(p, s.p2)); if (a + b > c && a + c > b) return point_to_line(p, to_line(s)); else return min(dist(p, s.p1), dist(p, s.p2)); }