106 lines
2.0 KiB
C++
106 lines
2.0 KiB
C++
#include <iostream>
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#include <cstring>
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#include <cstdio>
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#include <cmath>
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using namespace std;
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double r,w,t;
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char buf[500];
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const double eps = 1e-8;
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const double pi = acos(-1.0);
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struct Point
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{
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double x,y;
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Point() {}
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Point(double _x,double _y)
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{
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x = _x;
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y = _y;
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}
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Point(Point _a,Point _b)
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{
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x = _b.x-_a.x;
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y = _b.y-_a.y;
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}
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void transXY(double B)
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{
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double tx = x,ty = y;
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x = tx*cos(B) - ty*sin(B);
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y = tx*sin(B) + ty*cos(B);
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}
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double Length()
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{
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return sqrt(eps+x*x+y*y);
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}
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};
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int cmp(double a,double b)
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{
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if (fabs(a-b) < eps) return 0;
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if (a < b) return -1;
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return 1;
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}
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double sqr(double a)
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{
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return a*a;
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}
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Point p[4],res[4];
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int main()
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{
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int ft = 0;
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while (true)
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{
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gets(buf);
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if (strlen(buf) == 1) break;
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sscanf(buf,"%lf%lf%lf%lf%lf%lf%lf%lf",&p[0].x,&p[0].y,&p[1].x,&p[1].y,&p[2].x,&p[2].y,&p[3].x,&p[3].y);
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scanf("%lf%lf%lf",&r,&t,&w);
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gets(buf);
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w = pi*w/180;
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double theta = w*t;
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theta = theta-2*pi*floor(theta/(2*pi));
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double l = r*w*t;
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double totl = 0;
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Point tv;
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for (int i = 0; i < 4; i++)
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{
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tv = Point(p[i],p[(i+1)%4]);
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totl += tv.Length()-2*r;
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}
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res[0] = p[0];
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for (int i = 1;i < 4;i++)
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{
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tv = Point(p[i-1],p[i]);
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tv.transXY(-theta);
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res[i] = Point(res[i-1].x+tv.x,res[i-1].y+tv.y);
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}
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l = l-totl*floor(l/totl);
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double pre = 0.0,len;
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Point prep,nowp,xp;
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tv = Point(p[0],p[1]);
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len = tv.Length();
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xp = Point(p[0].x+tv.x*r/len,p[0].y+tv.y*r/len);
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prep = Point(xp.x+tv.y*r/len,xp.y-tv.x*r/len);
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for (int i = 0; i < 4; i++)
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{
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tv = Point(res[i],res[(i+1)%4]);
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len = tv.Length();
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if (cmp(pre+len-2*r,l) >= 0)
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{
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l -= pre;
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l += r;
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xp = Point(res[i].x+tv.x*l/len,res[i].y+tv.y*l/len);
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nowp = Point(xp.x+tv.y*r/len,xp.y-tv.x*r/len);
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tv = Point(nowp,prep);
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for (int j = 0;j < 4;j++)
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res[j] = Point(res[j].x+tv.x,res[j].y+tv.y);
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break;
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}
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pre += len-2*r;
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}
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ft++;
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printf("Case %d:",ft);
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for (int i = 0;i < 4;i++)
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printf(" %.3f %.3f",res[i].x,res[i].y);
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printf("\n");
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}
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return 0;
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}
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