Go: package main

import (
	"bufio"
	"os"
	"strconv"
	"strings"
	"fmt"
)

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	scanner.Scan()
	n, _ := strconv.Atoi(scanner.Text())
	for i := 0; i < n; i++ {
		scanner.Scan()
		input := strings.Split(scanner.Text(), " ")
		buf := make([]float64, len(input))
		for j := range buf {
			buf[j], _ = strconv.ParseFloat(input[j], 64)
		}
		p1 := complex(buf[0], buf[1])
		p2 := complex(buf[2], buf[3])
		p3 := complex(buf[4], buf[5])
		pk := complex(buf[6], buf[7])
		ps := complex(buf[8], buf[9])
		kin := isAtSameSide(p3, pk, []complex128{p1, p2}) &&
			isAtSameSide(p1, pk, []complex128{p2, p3}) &&
			isAtSameSide(p2, pk, []complex128{p3, p1})
		sin := isAtSameSide(p3, ps, []complex128{p1, p2}) &&
			isAtSameSide(p1, ps, []complex128{p2, p3}) &&
			isAtSameSide(p2, ps, []complex128{p3, p1})
		if (kin || sin) && !(kin && sin) {
			fmt.Println("OK")
		} else {
			fmt.Println("NG")
		}
	}
}

func isAtSameSide(a, b complex128, line []complex128) bool {
	sa := (real(line[1]) - real(line[0]))*(imag(a)-imag(line[0]))+
		(imag(line[1])-imag(line[0]))*(real(line[0])-real(a))
	sb := (real(line[1]) - real(line[0]))*(imag(b)-imag(line[0]))+
		(imag(line[1])-imag(line[0]))*(real(line[0])-real(b))
	return (sa > 0 && sb > 0) || (sa < 0 && sb < 0)
}

C++: #include <stdio.h>
#include <iostream>
#include <vector>
#include <string>
#include <math.h>
#include <algorithm>
using namespace std;
#define INF 0x7FFFFFFF
const double EPS = 1e-10;


inline bool eq(double a, double b) { return fabs(b - a) < EPS;}

struct p_t{
  double x;
  double y;
  double norm() { return x * x + y * y; }
  double abs() { return sqrt(norm()); }
};
struct l_t{
	p_t a, b;
};

double cross(p_t p,p_t q);
p_t line(p_t p,p_t q);

bool asc(p_t left,p_t right) {
    return left.x == right.x ? left.y < right.y : left.x < right.x;
}
int Crosspoint(l_t l,l_t m);

int main(){
  int n;
  cin>>n;
  for(int t=0;t<n;t++){
    p_t p,q,r,k,s;
    cin>>p.x>>p.y>>q.x>>q.y>>r.x>>r.y>>k.x>>k.y>>s.x>>s.y;
    l_t pq,qr,rp,ks;
    pq.a=p;
    pq.b=q;
    qr.a=q;
    qr.b=r;
    rp.a=r;
    rp.b=p;
    ks.a=k;
    ks.b=s;
    int ans=0;
    ans+=(Crosspoint(pq,ks)&&Crosspoint(ks,pq));
    ans+=(Crosspoint(qr,ks)&&Crosspoint(ks,qr));
    ans+=(Crosspoint(rp,ks)&&Crosspoint(ks,rp));
    if(ans==1){
      cout<<"OK"<<endl;
    }
    else{
      cout<<"NG"<<endl;
    }
  }
}


p_t line(p_t p,p_t q){
  p_t z;
  z.x=q.x-p.x;
  z.y=q.y-p.y;
  return z;
}


double cross(p_t p,p_t q){
  return p.x*q.y-p.y*q.x;
}

int Crosspoint(l_t l,l_t m){
  p_t aa,bb,cc,dd;
  aa.x=l.b.x-l.a.x;
  aa.y=l.b.y-l.a.y;
  bb.x=m.b.x-m.a.x;
  bb.y=m.b.y-m.a.y;
  cc=aa;
  dd.x=l.b.x-m.a.x;
  dd.y=l.b.y-m.a.y;
	double A = cross(aa,bb);
	double B = cross(cc,dd);
	if (abs(A) < EPS && abs(B) < EPS) return 0;
  if(B/A>0&&B/A<1) return 1;
  return 0;
}

C++: #include<cmath>
#include<algorithm>
#include<iostream>
#include<vector>
#include<climits>
#include<cfloat>
 
using namespace std;
 
double EPS = 1e-10;
 
double add(double a, double b){
  if(abs(a+b) < EPS * (abs(a)+abs(b)))return 0;
  return a+b;
}
 
struct point{
  double x, y;
  point(){}
  point(double x,double y) : x(x) , y(y){}
 
  point operator + (point p){
    return point(add(x,p.x), add(y,p.y));
  }
 
  point operator - (point p){
    return point(add(x,-p.x), add(y,-p.y));
  }
 
  point operator * (double d){
    return point(x*d,y*d);
  }
};
 
struct segment{
  point a,b;
};
 
double dot(point a, point b) {
  return (a.x * b.x + a.y * b.y);
}
 
double cross(point a, point b) {
  return (a.x * b.y - a.y * b.x);
}
 
int ccw(point p0, point p1, point p2){
  point a = p1 - p0;
  point b = p2 - p0;
  if(cross(a,b)>EPS)return +1;
  if(cross(a,b)<EPS)return -1;
  if(dot(a,b)<-EPS)return +2;
  if(a.x*a.x+a.y*a.y<b.x*b.x+b.y*b.y)return -2;
  return 0;
}

int is_intersected_ls(point p1, point p2, point p3, point p4) {
  return (ccw(p1,p2,p3)*ccw(p1,p2,p4)<=0)&&
         (ccw(p3,p4,p1)*ccw(p3,p4,p2)<=0);
}

int is_point_on_line(point a, point b, point c) {
  return cross(b-a, c-a)==0.0 &&
         (dot(b-a, c-a) > -EPS) &&
         (dot(a-b, c-b) > -EPS);
}

int inside(point p, vector<point> ps, int n){
  segment t;
  t.a=t.b=p;
  t.b.x=DBL_MAX;
  ps.push_back(ps[0]);
  double ymx=-DBL_MAX,ymn=DBL_MAX;
  for(int i=0;i<n;i++){
    ymx=max(ymx,ps[i].y);
    ymn=min(ymn,ps[i].y);
  }
  if(t.a.y<=ymn||t.a.y>=ymx)return 0;

  int cnt1=0;
  for(int i=0;i<n;i++)
    if(is_point_on_line(t.a,t.b,ps[i]))cnt1++;
  
  int cnt=0;
  for(int i=0;i<n;i++)
    if(is_intersected_ls(ps[i],ps[i+1],t.a,t.b))cnt++;

  return (cnt-cnt1)%2;
}

int main(void){
  int n;
  point k,s,in;
  vector<point>p; 

  cin >> n;
  while(n--){
    p.clear();
    for(int i=0;i<3;i++){
      cin >> in.x >> in.y;
      p.push_back(in);
    }     

    cin >> k.x >> k.y >> s.x >> s.y;

    if(inside(k,p,3)!=inside(s,p,3))cout << "OK" << endl;
    else cout << "NG" << endl;
     
  }
 
  return 0;
}

C++: #include <iostream>
#include <complex>
#include <algorithm>
#include <cmath>
#include <vector>

using namespace std;

typedef complex<double> P;
typedef vector<P> polygon;

double cross(const P &a, const P &b){
    return imag(conj(a)*b);
}

double dot(const P &a, const P &b){
    return real(conj(a) * b);
}

#define curr(G, i) G[i]
#define next(G, i) G[(i+1)%G.size()]
enum { OUT, ON, IN };

int contains(const polygon& G, const P& p) {
    bool in = false;
    for (int i = 0; i < G.size(); ++i) {
        P a = curr(G,i) - p, b = next(G,i) - p;
        if (imag(a) > imag(b)) swap(a, b);
        if (imag(a) <= 0 && 0 < imag(b))
            if (cross(a, b) < 0) in = !in;
        if (cross(a, b) == 0 && dot(a, b) <= 0) return ON;
    }
    return in ? IN : OUT;
}

int main(){
    int n;
    int xp1, yp1, xp2, yp2, xp3, yp3, xa, ya, xb, yb;
    cin >> n;

    for(int i=0;i<n;i++){
        polygon triangle;
        cin >> xp1 >> yp1 >> xp2 >> yp2 >> xp3 >> yp3 >> xa >> ya >> xb >> yb;
        triangle.push_back(P(xp1,yp1));
        triangle.push_back(P(xp2,yp2));
        triangle.push_back(P(xp3,yp3));
        int a,b;
        a = contains(triangle, P(xa,ya));
        b = contains(triangle, P(xb,yb));
        if(a+b == 2 && a*b == 0){
            cout << "OK" << endl;
        }else{
            cout << "NG" << endl;
        }
    }
}