Basic and online solution the same idea, put several cases blablabla. It's WA.
Then add an EPS to the answer. Obviously this question did not write SPJ. The accuracy of the card
Code:
#include <cstdio> #include <cstring> #include <cmath> #include <algorithm>using namespace std; struct point {double x, y; Point () {}-point (Double x, double y) {this->x = x; This->y = y; } void Read () {scanf ("%lf%lf", &x, &y); }};typedef Point Vector; Vector operator + (vector A, vector B) {return vector (a.x + b.x, A.Y + b.y);} Vector operator-(vector A, vector B) {return vector (a.x-b.x, a.y-b.y);} Vector operator * (vector A, double p) {return vector (a.x * p, A.Y * p);} Vector operator/(vector A, double p) {return vector (a.x/p, a.y/p);} BOOL operator < (const point& A, const point& b) {return a.x < b.x | | (a.x = = b.x && a.y < B.Y);} Const DOUBLE EPS = 1e-8;int dcmp (double x) {if (Fabs (x) < EPS) return 0; else return x < 0? -1:1;} BOOL operator = = (const point& A, const point& b) {return dcmp (a.x-b.x) = = 0 && dcmp (a.y-b.y)= = 0;} Double dot (vector A, vector B) {return a.x * b.x + a.y * B.Y;}/dot product double Length (vector a) {return sqrt (Dot (A, a));}//Vector Modulus double Angle (vector A, vector b) {return ACOs (Dot (A, b)/Length (a)/length (b));}//Vector angle Double cross (vector a, vector b) {return a.x * b.y-a.y * b.x;} Fork Product Double Area2 (Point A, point B, point C) {return cross (b-a, c-a);}//has an area of struct line {point V, p; Line () {} line (point V, point p) {this->v = v; This->p = p; } point point (Double t) {return v + p * t; }};//vector rotation vectors Rotate (vector A, double rad) {return vector (a.x * cos (RAD)-A.y * sin (rad), a.x * sin (rad) + A.y * CO S (RAD));} Vector Anglebisector (point p, vector v1, vector v2) {//given two vectors, quadrature line Double rad = Angle (v1, v2); Return Rotate (v1, dcmp (Cross (v1, v2)) * 0.5 * rad);} Determine 3 points collinear bool Linecoincide (point p1, dot P2, point p3) {return dcmp (cross (P2-P1, p3-p1)) = = 0;} Judging vector parallel bool Lineparallel (vector v, vector w) {return Cross (V, w) = =0;} Judgment Vector vertical bool Linevertical (vector v, vector w) {return Dot (V, w) = = 0;} Calculate the intersection of two straight lines, parallel, coincident to first Judge Point Getlineintersection (Point P, Vector v, point Q, vector w) {vector u = p-q; Double T = Cross (w, u)/Cross (V, W); return P + v * t;} Point-to-line distance double distancetoline (points P, point-A, point B) {Vector V1 = b-a, v2 = p-a; Return Fabs (Cross (v1, v2))/Length (v1);} Point-to-segment distance double distancetosegment (points P, point A, point B) {if (a = = B) return Length (P-A); Vector v1 = b-a, v2 = p-a, V3 = p-b; if (dcmp (Dot (v1, v2)) < 0) return Length (v2); else if (dcmp (Dot (v1, v3)) > 0) return Length (V3); else return Fabs (cross (v1, v2))/Length (v1);} Point on a straight line of the projection point getlineprojection (points P, A, point B) {Vector v = b-a; return A + v * (dot (v, p-a)/dot (V, v));} Segment intersection determination (canonical intersection) BOOL Segmentproperintersection (Point A1, Point A2, point B1, point B2) {Double C1 = Cross (A2-A1, B1- A1), C2 = Cross (A2-A1, b2-a1), C3 = Cross (B2- B1, a1-b1), C4 = Cross (b2-b1, A2-B1); Return DCMP (C1) * DCMP (C2) < 0 && dcmp (C3) * DCMP (C4) < 0;} Can not standardize intersecting bool SegmentProperIntersection2 (Point A1, Point A2, point B1, point B2) {Double C1 = Cross (A2-A1, B1-A1), C2 = Cross (A2-A1, b2-a1), C3 = Cross (B2-B1, a1-b1), C4 = Cross (b2-b1, A2-B1); Return Max (a1.x, a2.x) >= min (b1.x, b2.x) && Max (b1.x, b2.x) >= min (a1.x, a2.x) && Max (A1.y, a 2.Y) >= min (b1.y, b2.y) && Max (B1.Y, b2.y) >= min (a1.y, a2.y) && dcmp (C1) * DCMP (C2) <= 0 & amp;& dcmp (C3) * DCMP (C4) <= 0;} Judging points on a line segment, not including the endpoint bool Onsegment (point P, Dot A1, point A2) {return dcmp (cross (a1-p, a2-p)) = = 0 && dcmp (D OT (A1-p, a2-p)) < 0;} The area of the N-side shape double Polygonarea (point *p, int n) {double areas = 0; for (int i = 1; i < n-1; i++) area + = Cross (P[i]-p[0], P[i + 1]-p[0]); return AREA/2;} int t; Point P[4];d ouble solve () {if (LiNeparallel (P[1]-p[0], p[3]-p[2])) return 0.0; if (! SegmentProperIntersection2 (P[0], p[1], p[2], p[3])) return 0.0; Point x = Getlineintersection (p[0], p[1]-p[0], p[2], p[3]-p[2]); if (P[0].y > x.y && p[2].y > x.y) {if ((p[0].x-x.x) * (p[2].x-x.x) > 0) {if (dcmp (Fabs (p[0].x-x.x)-fabs (p[2].x-x.x)) >= 0) {Point sb = Getlineintersection (x, P[0]-X, p[2], Vect or (0, 1)); if (Sb.y > P[2].y) return 0.0; }} Point tmp = Getlineintersection (p[0], p[1]-p[0], p[2], Vector (1, 0)); Return Fabs (AREA2 (p[2], X, TMP)/2); } return 0.0;} int main () {scanf ("%d", &t); while (t--) {for (int i = 0; i < 4; i++) P[i].read (); if (P[0].y < P[1].Y) swap (p[0], p[1]); if (P[2].y < P[3].Y) swap (p[2], p[3]); if (P[0].y < P[2].Y) {swap (p[0], p[2]); Swap (p[1], p[3]); } prinTF ("%.2f\n", Solve () + EPS); } return 0;}
POJ 2826 an easy problem?! (Computational geometry)