QPointF TWorld::Rule1(size_t shipNum) {
    QPointF massCenter;
    size_t ships = 0;
    for (int i = 0; i < Ships.size(); ++i) {
        if (i != shipNum &&
            Ships[i].PlayerId == Ships[shipNum].PlayerId &&
            Ships[i].Target == Ships[shipNum].Target)
        {
            massCenter += Ships[i].Position;
            ++ships;
        }
    }
    if (!ships) {
        return QPointF(0, 0);
    }
    massCenter /= ships;
    return (massCenter - Ships[shipNum].Position) / 160;
}

QPointF TWorld::Rule2(size_t shipNum) {
    QPointF c(0, 0);
    for (int i = 0; i < Ships.size(); ++i) {
        if (i != shipNum) {
            float distance = Distance(Ships[i].Position, Ships[shipNum].Position);
            if (distance < 21) {
                QPointF direction = Ships[i].Position - Ships[shipNum].Position;
                Normalize(direction);
                direction *= (33 - distance);
                c -= direction;
            }
        }
    }
    return c / 35;
}

QPointF TWorld::Rule3(size_t shipNum) {
    QPointF massCenter;
    size_t ships = 0;
    for (int i = 0; i < Ships.size(); ++i) {
        if (i != shipNum &&
            Ships[i].PlayerId == Ships[shipNum].PlayerId &&
            Ships[i].Target == Ships[shipNum].Target)
        {
            massCenter += Ships[i].Speed;
            ++ships;
        }
    }
    if (!ships) {
        return QPointF(0, 0);
    }
    massCenter /= ships;
    return (massCenter - Ships[shipNum].Speed) / 18;
}

QPointF TWorld::Rule4(size_t shipNum) {
    QPointF direction = Ships[shipNum].Target - Ships[shipNum].Position;
    LimitSpeed(direction, 0.85);
    return direction;
}

QPointF TWorld::Rule5(size_t shipNum) {
    QPointF c(0, 0);
    for (int i = 0; i < Planets.size(); ++i) {
        if (Ships[shipNum].Target != Planets[i].Position) {
            float distance = Distance(Planets[i].Position, Ships[shipNum].Position);
            if (distance < 10.0 + 1.4 * Planets[i].Radius) {
                QPointF direction = Planets[i].Position - Ships[shipNum].Position;
                Normalize(direction);
                direction *= (18.0 + 1.4 * Planets[i].Radius - distance);
                c -= direction;
            }
        }
    }
    return c / 8;
}