码迷,mamicode.com
首页 > 其他好文 > 详细

poj3449Geometric Shapes

时间:2014-08-01 23:06:12      阅读:324      评论:0      收藏:0      [点我收藏+]

标签:style   blog   http   color   os   io   for   art   

链接

繁琐。

处理出来所有的线段,再判断相交。

对于正方形的已知对角顶点求剩余两顶点 (列出4个方程求解)

p[1].x=(p[0].x+p[2].x+p[2].y-p[0].y)/2;
p[1].y=(p[0].y+p[2].y+p[0].x-p[2].x)/2;
p[3].x=(p[0].x+p[2].x-p[2].y+p[0].y)/2;
p[3].y=(p[0].y+p[2].y-p[0].x+p[2].x)/2;
bubuko.com,布布扣
  1 #include <iostream>
  2 #include<cstdio>
  3 #include<cstring>
  4 #include<algorithm>
  5 #include<stdlib.h>
  6 #include<vector>
  7 #include<cmath>
  8 #include<queue>
  9 #include<set>
 10 #include<map>
 11 using namespace std;
 12 #define N 600
 13 #define LL long long
 14 #define INF 0xfffffff
 15 #define zero(x) (((x)>0?(x):-(x))<eps)
 16 const double eps = 1e-8;
 17 const double pi = acos(-1.0);
 18 const double inf = ~0u>>2;
 19 map<string,int>f;
 20 vector<int>ed[30];
 21 int g;
 22 struct point
 23 {
 24     double x,y;
 25     point(double x=0,double y=0):x(x),y(y) {}
 26 } p[600];
 27 typedef point pointt;
 28 pointt operator -(point a,point b)
 29 {
 30     return pointt(a.x-b.x,a.y-b.y);
 31 }
 32 struct line
 33 {
 34     pointt u,v;
 35     int flag;
 36     char c;
 37 } li[N];
 38 vector<line>dd[30];
 39 char s1[10],s2[15],s[30];
 40 int dcmp(double x)
 41 {
 42     if(fabs(x)<eps) return 0;
 43     return x<0?-1:1;
 44 }
 45 point rotate(point a,double rad)
 46 {
 47     return point(a.x*cos(rad)-a.y*sin(rad),a.x*sin(rad)+a.y*cos(rad));
 48 }
 49 double dot(point a,point b)
 50 {
 51     return a.x*b.x+a.y*b.y;
 52 }
 53 double dis(point a)
 54 {
 55     return sqrt(dot(a,a));
 56 }
 57 double angle(point a,point b)
 58 {
 59     return acos(dot(a,b)/dis(a)/dis(b));
 60 }
 61 double cross(point a,point b)
 62 {
 63     return a.x*b.y-a.y*b.x;
 64 }
 65 
 66 double xmult(point p1,point p2,point p0)
 67 {
 68     return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y);
 69 }
 70 //判三点共线
 71 int dots_inline(point p1,point p2,point p3)
 72 {
 73     return zero(xmult(p1,p2,p3));
 74 }
 75 
 76 //判点是否在线段上,包括端点
 77 int dot_online_in(point p,point l1,point l2)
 78 {
 79     return zero(xmult(p,l1,l2))&&(l1.x-p.x)*(l2.x-p.x)<eps&&(l1.y-p.y)*(l2.y-p.y)<eps;
 80 }
 81 
 82 //判两点在线段同侧,点在线段上返回0
 83 
 84 int same_side(point p1,point p2,point l1,point l2)
 85 {
 86     return xmult(l1,p1,l2)*xmult(l1,p2,l2)>eps;
 87 }
 88 
 89 //判两线段相交,包括端点和部分重合
 90 
 91 int intersect_in(point u1,point u2,point v1,point v2)
 92 {
 93     if (!dots_inline(u1,u2,v1)||!dots_inline(u1,u2,v2))
 94         return !same_side(u1,u2,v1,v2)&&!same_side(v1,v2,u1,u2);
 95     return dot_online_in(u1,v1,v2)||dot_online_in(u2,v1,v2)||dot_online_in(v1,u1,u2)||dot_online_in(v2,u1,u2);
 96 }
 97 void init(int kk,char c)
 98 {
 99     int i;
100     int  k = c-A;
101     if(kk==1)
102     {
103         for(i = 0; i <= 2 ; i+=2)
104         {
105             scanf(" (%lf,%lf)",&p[i].x,&p[i].y);
106         }
107         p[1].x=(p[0].x+p[2].x+p[2].y-p[0].y)/2;
108         p[1].y=(p[0].y+p[2].y+p[0].x-p[2].x)/2;
109         p[3].x=(p[0].x+p[2].x-p[2].y+p[0].y)/2;
110         p[3].y=(p[0].y+p[2].y-p[0].x+p[2].x)/2;
111         p[4] = p[0];
112         for(i = 0; i < 4 ; i++)
113         {
114             li[++g].u = p[i];
115             li[g].v = p[i+1];
116             dd[k].push_back(li[g]);
117         }
118     }
119     else if(kk==2)
120     {
121         for(i = 1; i <= 3 ; i++)
122         {
123             scanf(" (%lf,%lf)",&p[i].x,&p[i].y);
124         }
125         point pp = point((p[1].x+p[3].x),(p[1].y+p[3].y));
126         p[4] = point(pp.x-p[2].x,pp.y-p[2].y);
127         //printf("%.3f %.3f\n",p[4].x,p[4].y);
128         p[5] = p[1];
129         for(i = 1; i <= 4; i++)
130         {
131             li[++g].u = p[i];
132             li[g].v = p[i+1];
133             li[g].c = c;
134             dd[k].push_back(li[g]);
135         }
136     }
137     else if(kk==3)
138     {
139         for(i = 1; i <= 2; i++)
140             scanf(" (%lf,%lf)",&p[i].x,&p[i].y);
141         li[++g].u = p[1];
142         li[g].v = p[2];
143         li[g].c = c;
144         dd[k].push_back(li[g]);
145     }
146     else if(kk==4)
147     {
148         for(i = 1; i <= 3 ; i++)
149             scanf(" (%lf,%lf)",&p[i].x,&p[i].y);
150         p[4] = p[1];
151         for(i = 1; i <= 3 ; i++)
152         {
153             li[++g].u = p[i];
154             li[g].v = p[i+1];
155             li[g].c = c;
156             dd[k].push_back(li[g]);
157         }
158     }
159     else if(kk==5)
160     {
161         int n;
162         scanf("%d",&n);
163         for(i = 1; i <= n ; i++)
164             scanf(" (%lf,%lf)",&p[i].x,&p[i].y);
165         p[n+1] = p[1];
166         for(i = 1; i <= n ; i++)
167         {
168             li[++g].u= p[i];
169             li[g].v = p[i+1];
170             li[g].c = c;
171             dd[k].push_back(li[g]);
172         }
173     }
174 }
175 
176 int main()
177 {
178     f["square"] = 1;
179     f["rectangle"] = 2;
180     f["line"] = 3;
181     f["triangle"] = 4;
182     f["polygon"] = 5;
183     int i,j,k;
184     while(scanf("%s",s1)!=EOF)
185     {
186         if(s1[0]==.) break;
187         if(s1[0]==-) continue;
188         for(i =0 ; i < 26 ; i++)
189         {
190             ed[i].clear();
191             dd[i].clear();
192         }
193         g = 0;
194         k=0;
195         scanf("%s",s2);
196         s[++k] = s1[0];
197         init(f[s2],s1[0]);
198         while(scanf("%s",s1)!=EOF)
199         {
200             if(s1[0]==-) break;
201             //cout<<s1<<endl;
202             scanf("%s",s2);
203             s[++k] = s1[0];
204             init(f[s2],s1[0]);
205         }
206         //cout<<g<<endl;
207         sort(s+1,s+k+1);
208         for(i = 1 ; i <= k; i++)
209         {
210             int u,v;
211             u = s[i]-A;
212             //cout<<u<<" "<<dd[u].size()<<endl;
213             for(j = i+1; j <= k ; j++)
214             {
215                 v = s[j]-A;
216                 int flag = 0;
217                 for(int ii = 0 ; ii < dd[u].size() ; ii++)
218                 {
219                     for(int jj = 0 ; jj < dd[v].size() ; jj++)
220                     {
221                         if(intersect_in(dd[u][ii].u,dd[u][ii].v,dd[v][jj].u,dd[v][jj].v))
222                         {
223 
224                             flag = 1;
225                             break;
226                         }
227 //                    if(u==5&&v==22)
228 //                        {
229 //                            output(dd[u][ii].u);
230 //                        output(dd[u][ii].v);
231 //                        output(dd[v][jj].u);
232 //                        output(dd[v][jj].v);
233 //                        }
234                     }
235                     if(flag) break;
236                 }
237                 if(flag)
238                 {
239                     ed[u].push_back(v);
240                     ed[v].push_back(u);
241                 }
242             }
243         }
244         for(i = 1 ; i <= k; i++)
245         {
246             int u = s[i]-A;
247             if(ed[u].size()==0)
248                 printf("%c has no intersections\n",s[i]);
249             else
250             {
251 
252                 sort(ed[u].begin(),ed[u].end());
253                 if(ed[u].size()==1)
254                     printf("%c intersects with %c\n",s[i],ed[u][0]+A);
255                 else if(ed[u].size()==2)
256                     printf("%c intersects with %c and %c\n",s[i],ed[u][0]+A,ed[u][1]+A);
257                 else
258                 {
259                     printf("%c intersects with ",s[i]);
260                     for(j = 0 ; j < ed[u].size()-1 ; j++)
261                         printf("%c, ",ed[u][j]+A);
262                     printf("and %c\n",ed[u][j]+A);
263                 }
264             }
265         }
266         puts("");
267     }
268     return 0;
269 }
View Code

 

poj3449Geometric Shapes,布布扣,bubuko.com

poj3449Geometric Shapes

标签:style   blog   http   color   os   io   for   art   

原文地址:http://www.cnblogs.com/shangyu/p/3885905.html

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!