// Fonction Factorielle
int fact(int n){
	if (n == 0) {
		return 1;
	}
	else {
		return n* fact(n - 1);
	}
}


//Calcul polynome Bernstein
float Bernstein(int i, int n, float t){
	int factoN = fact(n);
	int factoI = fact(i);
	int factoNI = fact(n - i);
	float rest = pow(t,i) * pow((1 - t), n - i);

 return ((factoN/(factoI*factoNI))*rest);
}


void traceCourbeBezier(point2 tabPointControl[], int n) {
	float u = 0;
	point2 sommeBernstein = point2(0,0);
	glBegin(GL_LINE_STRIP);

		for (int i = 0; i <= 10; i++) {
			for (int j = 0; j < n; j++) {
				sommeBernstein = sommeBernstein + (tabPointControl[j] * Bernstein(j, n-1, u));
			}
			glVertex3f(sommeBernstein.x, sommeBernstein.y, 0);
			u += 0.1;
			sommeBernstein = point2(0, 0);
		}

	glEnd();


}