Math A Rescue The Princess

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1 /*2 It is known that the constant amount (x, y) rotates it by the coordinates of the θ (x*cosθ-y * sinθθ, y*cosθ+ x * sinθθ)3 apply to the subject, X to (Xb-xa), Y to (Yb-ya) position relative to a point, that is, B rotates around a point 60 degrees to C point4 Note: Coordinates that are added back to point a after the calculation are the coordinates relative to the Origin .5 Detailed Explanation:http://www.tuicool.com/articles/FnEZJb6 */7#include <cstdio>8#include <cmath>9#include <algorithm>Ten#include <iostream> One#include <cstring> A using namespacestd; -  - Const DoublePI = ACOs (-1.0); the  - intMainvoid)//A Rescue the Princess - { -     //freopen ("A.txt", "R", stdin); +      -     intT; +      while(SCANF ("%d", &t) = =1) A     { at          while(t--) -         { -             Doublexa, ya, xb, YB, XD, yd; -scanf ("%LF%LF%LF%LF", &xa, &ya, &AMP;XB, &YB); -             DoubleXC = (XB-XA) * cos (pi/3.0)-(Yb-ya) * SIN (pi/3.0) +xa; -             DoubleYC = (yb-ya) * cos (pi/3.0) + (xb-xa) * SIN (pi/3.0) +ya; inprintf ("(%.2f,%.2f) \ n", XC, YC); -         } to     } +      -     return 0; the}

1 /*2 The increment of C point to point A is length * cos/sin, angle is 60 + slope angle3 */4#include <cstdio>5#include <cmath>6#include <algorithm>7#include <iostream>8#include <cstring>9 using namespacestd;Ten  One Const DoublePI = ACOs (-1.0); A  - intMainvoid)//A Rescue the Princess - { the     //freopen ("A.txt", "R", stdin); -      -     intT; -      while(SCANF ("%d", &t) = =1) +     { -          while(t--) +         { A             Doublexa, ya, xb, YB, XD, yd; atscanf ("%LF%LF%LF%LF", &xa, &ya, &AMP;XB, &YB); -             DoubleAB = sqrt ((XA-XB) * (XA-XB) + (YA-YB) * (ya-yb)); -             DoubleR = Atan ((ya-yb)/(XA-xb)); -             DoubleXC = xa + ab * cos (R + PI/3.0); -             DoubleYC = ya + ab * sin (R + PI/3.0); -printf ("(%.2f,%.2f) \ n", XC, YC); in         } -     } to      +     return 0; -}

1 /*2 The practice is similar to the previous one, but in various situations, it was written by me, and finally because I did not go to absolute value and WA several times,3 in comparison with the above, it is important to see how good thinking and mathematical literacy is:)4 */5#include <cstdio>6#include <cmath>7#include <algorithm>8#include <iostream>9#include <cstring>Ten using namespacestd; One  A intMainvoid)//A Rescue the Princess - { -     //freopen ("A.txt", "R", stdin); the      -     intT; -      while(SCANF ("%d", &t) = =1) -     { +          while(t--) -         { +             Doublexa, ya, xb, YB, XC, YC, XD, yd; Ascanf ("%LF%LF%LF%LF", &xa, &ya, &AMP;XB, &YB); at             DoubleAB = sqrt ((XA-XB) * (XA-XB) + (YA-YB) * (ya-yb)); -             Doublecd = sqrt (3.0) /2*AB; -xd = (xa + XB)/2; yd = (YA + yb)/2; -             if(ya =YB) -             { -XC = (xa + XB)/2; in                 if(Xa <AB) -                 { toYC = ya +cd; +                 } -                 Else the                 { *YC = Ya-cd;  $                 }Panax Notoginseng             } -             Else if(XA = =XB) the             { +YC = (ya + yb)/2; A                 if(Ya >YB) the                 { +XC = xa +cd; -                 } $                 Else $                 { -XC = XA-cd; -                 } the             } -             ElseWuyi             { the                 DoubleK = (ya-yb)/(XA-XB); -K =-1.0/K; Wu                 DoubleQ =Atan (k); -                 //printf ("%.2f%.2f%.2f%.2f%.2f%.2f\n", AB, CD, XD, yd, K, q); About                 if(k >0) $                 { -                     if(Xa <XB) -                     { -XC = XD + ABS (CD *cos (q)); AYC = yd + ABS (CD *sin (q)); +                     } the                     Else -                     { $XC = Xd-abs (CD *cos (q)); theYC = Yd-abs (CD *sin (q)); the                     } the                 } the                 Else -                 { in                     if(Xa <XB) the                     { theXC = Xd-abs (CD *cos (q)); AboutYC = yd + ABS (CD *sin (q)); the                     } the                     Else the                     { +XC = XD + ABS (CD *cos (q)); -YC = Yd-abs (CD *sin (q)); the                     }Bayi                 } the             } the              -printf ("(%.2f,%.2f) \ n", XC, YC); -         } the     } the      the     return 0; the}

Math A Rescue The Princess