#include #include #include #include #include using namespace std; const int maxn = 5111; const double eps = 1e-12; const double pi = acos(-1.0); typedef struct{double x, y;}Point; int dcmp(double x) {return (x > eps) - (x < -eps);} inline double det(double x1, double y1, double x2, double y2) {return x1 * y2 - x2 * y1;} double cross(Point a, Point b, Point c) {return det(b.x -a.x, b.y - a.y, c.x - a.x, c.y - a.y);} bool EqualPoint(Point a, Point b) {return dcmp(a.x - b.x) == 0 && dcmp(a.y - b.y) == 0;} typedef struct{Point s, e;double ang, d;}Line; Point MakePoint(double xx, double yy) {Point res;res.x = xx, res.y = yy;return res;} void SetLine(Point a, Point b, Line &l) { l.s = a; l.e = b; l.ang = atan2(b.y - a.y, b.x - a.x); if(dcmp(a.x - b.x)) l.d = (a.x * b.y - b.x * a.y) / fabs(a.x - b.x); else l.d = (a.x * b.y - b.x * a.y) / fabs(a.y - b.y); } bool Parallel(const Line &la, const Line &lb) { return !dcmp( (la.e.x - la.s.x) * (lb.e.y - lb.s.y) - (la.e.y - la.s.y) * (lb.e.x - lb.s.x) ); } Point CrossPoint(const Line &la, const Line &lb) { Point res; double u = cross(la.s, la.e, lb.s), v = cross(la.e, la.s, lb.e); res.x = (lb.s.x * v + lb.e.x * u) / (u + v); res.y = (lb.s.y * v + lb.e.y * u) / (u + v); return res; } int CompL(const void *a, const void *b) { Line la = *(Line*)a, lb = *(Line*)b; if(dcmp(la.ang - lb.ang)) return la.ang > lb.ang ? 1 : -1; return la.d > lb.d ? 1 : -1; } Line deq[maxn]; bool HalfPanelCross(Line l[], int n, Point cp[], int &m) { int i, tn; m = 0; qsort(l, n, sizeof(Line), CompL); for(i = tn = 1; i < n; ++ i) if(dcmp(l[i].ang - l[i - 1].ang)) l[tn ++] = l[i]; n = tn; int front = 0, rear = 1; deq[0] = l[0], deq[1] = l[1]; for(i = 2; i < n; ++ i) { if(Parallel(deq[rear], deq[rear - 1]) || Parallel(deq[front], deq[front + 1])) return false; while(front < rear && dcmp( cross(l[i].s, l[i].e, CrossPoint(deq[rear], deq[rear - 1])) ) < 0) -- rear; while(front < rear && dcmp( cross(l[i].s, l[i].e, CrossPoint(deq[front], deq[front + 1])) ) < 0) ++ front; deq[++ rear] = l[i]; } while(front < rear && dcmp( cross(deq[front].s, deq[front].e, CrossPoint(deq[rear], deq[rear - 1])) ) < 0) -- rear; while(front < rear && dcmp( cross(deq[rear].s, deq[rear].e, CrossPoint(deq[front], deq[front + 1])) ) < 0) ++ front; if(rear <= front + 1) return false; for(i = front; i < rear; ++ i) cp[m ++] = CrossPoint(deq[i], deq[i + 1]); if(front < rear + 1) cp[m ++] = CrossPoint(deq[front], deq[rear]); m = unique(cp, cp + m, EqualPoint) - cp; for(i = 0; i < m; ++ i) { if(dcmp(cp[i].x) == 0) cp[i].x = 0; if(dcmp(cp[i].y) == 0) cp[i].y = 0; } return true; } double PolygonArea(Point p[], int n) { if(n < 3) return 0.0; double s = p[0].y * (p[n - 1].x - p[1].x); p[n] = p[0]; for(int i = 1; i < n; ++ i) s += p[i].y * (p[i - 1].x - p[i + 1].x); return fabs(s * 0.5); } Line l[maxn << 2]; Point p[maxn << 2]; double len; int n, m, ltp; double maxv, minv, ti; double start, en, v; int main() { int ca = 0; while(scanf("%lf", &len), dcmp(len)) { ltp = 0; scanf("%d", &n); while(n --) { scanf("%lf%lf%lf", &minv, &maxv, &ti); SetLine(MakePoint(ti, 0), MakePoint(ti + 1, minv), l[ltp ++]); SetLine(MakePoint(ti + 1, maxv), MakePoint(ti, 0), l[ltp ++]); } scanf("%d", &m); while(m --) { scanf("%lf%lf%lf", &minv, &maxv, &ti); SetLine(MakePoint(ti + 1, len - minv), MakePoint(ti, len), l[ltp ++]); SetLine(MakePoint(ti, len), MakePoint(ti + 1, len - maxv), l[ltp ++]); } scanf("%lf%lf%lf", &start, &en, &v); printf("Case #%d: ", ++ ca); SetLine(MakePoint(0, 0), MakePoint(1, 0), l[ltp ++]); SetLine(MakePoint(1, len), MakePoint(0, len), l[ltp ++]); SetLine(MakePoint(start + 1, v), MakePoint(start, 0), l[ltp ++]); SetLine(MakePoint(en, 0), MakePoint(en + 1, v), l[ltp ++]); if(!HalfPanelCross(l, ltp, p, n)){printf("0.00000\n"); continue;} printf("%.5f\n", PolygonArea(p, n) / (en - start) / len + eps); } return 0; }