Not a member of Pastebin yet?
Sign Up,
it unlocks many cool features!
- #include <iostream>
- #include <fstream>
- #include <cmath>
- #include <algorithm>
- #include <vector>
- #include <set>
- #include <map>
- #include <stack>
- #include <queue>
- #include <cstdlib>
- #include <cstdio>
- #include <string>
- #include <cstring>
- #include <cassert>
- #include <utility>
- #include <iomanip>
- #define sqr(x) ((x)*(x))
- using namespace std;
- const double eps = 1e-9;
- double xc, yc, zc, r;
- double xa, ya, za;
- double xb, yb, zb;
- double a, b, c;
- double cosA, cosB, cosC;// angles
- double sinA;
- double mysqrt(double x) {
- if (x < 0.0 + eps) x = 0.0;
- return sqrt(x);
- }
- double myacos(double x) {
- if (x < -1.0 + eps)
- x = -1.0;
- else if (x + eps > 1.0)
- x = 1.0;
- return acos(x);
- }
- int main() {
- assert(freopen("input.txt","r",stdin));
- assert(freopen("output.txt","w",stdout));
- scanf("%lf%lf%lf%lf", &xc, &yc, &zc, &r);
- scanf("%lf%lf%lf", &xa, &ya, &za);
- scanf("%lf%lf%lf", &xb, &yb, &zb);
- b = sqrt( sqr(xa-xc)+sqr(ya-yc) + sqr(za-zc));
- c = sqrt( sqr(xa-xb) + sqr(ya-yb) + sqr(za -zb) );
- a = sqrt( sqr(xc-xb) + sqr(yc-yb) + sqr(zc -zb) );
- double beta = asin(r/b);
- cosA = (b*b + c*c - a*a) / (2*b*c);
- if ( b + c <= a + eps || c + a <= b + eps ) {
- printf("%.12lf\n", 0);
- return 0;
- }
- double lo = 0, hi = c, x;
- double CO, cosTh, p, cosPhi, q, f;
- int step = 1000;
- while ( step -- ) {
- x = (hi + lo ) / 2;
- CO = mysqrt(x*x + b*b - 2*x*b*cosA);
- cosTh = (b*b + CO*CO - x*x) / (2 * b * CO);
- p = mysqrt(b*b + r*r - 2*b*r*cosTh);
- cosPhi = (CO*CO + a*a - sqr(c - x)) / (2*CO*a);
- q = mysqrt( r*r + a*a - 2*r*a*cosPhi);
- f = p * ( c - x ) / (q*x);
- if (f < 1.0)
- hi = x;
- else
- lo = x;
- }
- double alpha = myacos( (p*p + b*b - r*r) / (2 * p * b) );
- double diff = fabs(p * (c-x) - q*x);
- //printf("diff = %.15lf\n", diff);
- //assert( fabs(p * (c-x) - q*x) < 1e-9);
- printf("%.12lf\n", alpha/beta);
- return 0;
- }
Advertisement
Add Comment
Please, Sign In to add comment