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  • poj 1474 Video Surveillance (半平面交)

    1474 -- Video Surveillance

      跟前一篇3335的是一样的。

    代码入下:

      1 #include <cstdio>
      2 #include <cstring>
      3 #include <iostream>
      4 #include <algorithm>
      5 #include <vector>
      6 #include <cmath>
      7 
      8 using namespace std;
      9 
     10 struct Point {
     11     double x, y;
     12     Point() {}
     13     Point(double x, double y) : x(x), y(y) {}
     14 } ;
     15 template<class T> T sqr(T x) { return x * x;}
     16 typedef Point Vec;
     17 Vec operator + (Vec a, Vec b) { return Vec(a.x + b.x, a.y + b.y);}
     18 Vec operator - (Vec a, Vec b) { return Vec(a.x - b.x, a.y - b.y);}
     19 Vec operator * (Vec a, double p) { return Vec(a.x * p, a.y * p);}
     20 Vec operator / (Vec a, double p) { return Vec(a.x / p, a.y / p);}
     21 
     22 const double EPS = 1e-8;
     23 const double PI = acos(-1.0);
     24 inline int sgn(double x) { return (x > EPS) - (x < -EPS);}
     25 
     26 inline double dotDet(Vec a, Vec b) { return a.x * b.x + a.y * b.y;}
     27 inline double crossDet(Vec a, Vec b) { return a.x * b.y - a.y * b.x;}
     28 inline double dotDet(Point o, Point a, Point b) { return dotDet(a - o, b - o);}
     29 inline double crossDet(Point o, Point a, Point b) { return crossDet(a - o, b - o);}
     30 inline double vecLen(Vec x) { return sqrt(dotDet(x, x));}
     31 inline double toRad(double deg) { return deg / 180.0 * PI;}
     32 inline double angle(Vec v) { return atan2(v.y, v.x);}
     33 inline Vec vecUnit(Vec x) { return x / vecLen(x);}
     34 inline Vec normal(Vec x) { return Vec(-x.y, x.x) / vecLen(x);}
     35 
     36 const int N = 111;
     37 struct DLine {
     38     Point p;
     39     Vec v;
     40     double ang;
     41     DLine() {}
     42     DLine(Point p, Vec v) : p(p), v(v) { ang = atan2(v.y, v.x);}
     43     bool operator < (DLine L) const { return ang < L.ang;}
     44     DLine move(double x) {
     45         Vec nor = normal(v);
     46         nor = nor * x;
     47         return DLine(p + nor, v);
     48     }
     49 } dl[N];
     50 Point pt[N];
     51 
     52 inline bool onLeft(DLine L, Point p) { return crossDet(L.v, p - L.p) > 0;}
     53 Point dLineIntersect(DLine a, DLine b) {
     54     Vec u = a.p - b.p;
     55     double t = crossDet(b.v, u) / crossDet(a.v, b.v);
     56     return a.p + a.v * t;
     57 }
     58 
     59 struct Poly {
     60     vector<Point> pt;
     61     Poly() { pt.clear();}
     62     ~Poly() {}
     63     Poly(vector<Point> &pt) : pt(pt) {}
     64     Point operator [] (int x) { return pt[x];}
     65     int size() { return pt.size();}
     66     double area() {
     67         double ret = 0.0;
     68         int sz = pt.size();
     69         pt.push_back(pt[0]);
     70         for (int i = 1; i <= sz; i++) ret += crossDet(pt[i], pt[i - 1]);
     71         pt.pop_back();
     72         return fabs(ret / 2.0);
     73     }
     74 } ;
     75 
     76 Poly halfPlane(DLine *L, int n) {
     77     Poly ret = Poly();
     78     sort(L, L + n);
     79     int fi, la;
     80     Point *p = new Point[n];
     81     DLine *q = new DLine[n];
     82     q[fi = la = 0] = L[0];
     83     for (int i = 1; i < n; i++) {
     84         while (fi < la && !onLeft(L[i], p[la - 1])) la--;
     85         while (fi < la && !onLeft(L[i], p[fi])) fi++;
     86         q[++la] = L[i];
     87         if (sgn(crossDet(q[la].v, q[la - 1].v)) == 0) {
     88             la--;
     89             if (onLeft(q[la], L[i].p)) q[la] = L[i];
     90         }
     91         if (fi < la) p[la - 1] = dLineIntersect(q[la - 1], q[la]);
     92     }
     93     while (fi < la && !onLeft(q[fi], p[la - 1])) la--;
     94     if (la <= fi) return ret;
     95     p[la] = dLineIntersect(q[la], q[fi]);
     96     for (int i = fi; i <= la; i++) ret.pt.push_back(p[i]);
     97     return ret;
     98 }
     99 
    100 bool isClockwise(Point *pt, int n) {
    101     double sum = 0.0;
    102     pt[n] = pt[0];
    103     Point O = Point(0.0, 0.0);
    104     for (int i = 0; i < n; i++) {
    105         sum += crossDet(O, pt[i], pt[i + 1]);
    106     }
    107     return sum < 0;
    108 }
    109 
    110 int main() {
    111 //    freopen("in", "r", stdin);
    112     int T = 1, n;
    113     while (cin >> n && n) {
    114         for (int i = 0; i < n; i++) cin >> pt[i].x >> pt[i].y;
    115         pt[n] = pt[0];
    116         if (isClockwise(pt, n)) for (int i = 0; i < n; i++) dl[i] = DLine(pt[i + 1], pt[i] - pt[i + 1]).move(-EPS);
    117         else for (int i = 0; i < n; i++) dl[i] = DLine(pt[i], pt[i + 1] - pt[i]).move(-EPS);
    118         Poly tmp = halfPlane(dl, n);
    119         printf("Floor #%d
    Surveillance is ", T++);
    120         if (tmp.size() > 2) puts("possible.");
    121         else puts("impossible.");
    122         puts("");
    123     }
    124     return 0;
    125 }
    126 
    127 /*
    128 6
    129 0 0
    130 100 0
    131 100 100
    132 0 100
    133 50 75
    134 50 25
    135 4
    136 0 0
    137 0 1
    138 1 1
    139 1 0
    140 8
    141 0 0
    142 0 2
    143 1 2
    144 1 1
    145 2 1
    146 2 2
    147 3 2
    148 3 0
    149 */
    View Code

    ——written by Lyon

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  • 原文地址:https://www.cnblogs.com/LyonLys/p/poj_1474_Lyon.html
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