void serial_initialize(pointVec_t &points) {
    points.reserve(cfg::numberOfPoints);

    unsigned int rseed=1;
    for(size_t i=0, count=0; long(i)<cfg::numberOfPoints; ++i) {
        points.push_back(util::GenerateRNDPoint<double>(count,&std::rand,RAND_MAX ));
    }
}

point_t divide(const pointVec_t &P, pointVec_t &P_reduced, const point_t &p1, const point_t &p2) {
    SplitByCP splitByCP(p1, p2, P_reduced);
    point_t farPoint = std::for_each(P.begin(), P.end(), splitByCP);

    if(util::verbose) {
        std::stringstream ss;
        ss << P.size() << " nodes in bucket"<< ", "
            << "dividing by: [ " << p1 << ", " << p2 << " ], "
            << "farthest node: " << farPoint;
        util::OUTPUT.push_back(ss.str());
    }

    return farPoint;
}

point_t divide(const pointVec_t &P, pointVec_t &P_reduced, 
                   const point_t &p1, const point_t &p2) {
    SplitByCP_buf sbcpb(p1, p2, P, P_reduced);
    // Must use simple_partitioner (see the comment in initialize() above)
    tbb::parallel_reduce(range_t(0, P.size(), SplitByCP_buf::grainSize),
                         sbcpb, tbb::simple_partitioner());

    if(util::verbose) {
        std::stringstream ss;
        ss << P.size() << " nodes in bucket"<< ", "
            << "dividing by: [ " << p1 << ", " << p2 << " ], "
            << "farthest node: " << sbcpb.farthestPoint();
        util::OUTPUT.push_back(ss.str());
    }

    return sbcpb.farthestPoint();
}

void divide_and_conquer(const pointVec_t &P, pointVec_t &H,
                            point_t p1, point_t p2) {
    assert(P.size() >= 2);
    pointVec_t P_reduced;
    pointVec_t H1, H2;
    point_t p_far = divide(P, P_reduced, p1, p2);
    if (P_reduced.size()<2) {
        H.push_back(p1);
        appendVector(P_reduced, H);
    }
    else {
        divide_and_conquer(P_reduced, H1, p1, p_far);
        divide_and_conquer(P_reduced, H2, p_far, p2);

        appendVector(H1, H);
        appendVector(H2, H);
    }
}

void divide_and_conquer(const pointVec_t &P, pointVec_t &H,
                        point_t p1, point_t p2, bool buffered) {
    assert(P.size() >= 2);
    pointVec_t P_reduced;
    pointVec_t H1, H2;
    point_t p_far;
    
    if(buffered) {
        p_far = divide<SplitByCP_buf>(P, P_reduced, p1, p2);
    } else {
        p_far = divide<SplitByCP>(P, P_reduced, p1, p2);
    }

    if (P_reduced.size()<2) {
        H.push_back(p1);
#if USECONCVEC
        appendVector(P_reduced, H);
#else // insert into STD::VECTOR
        H.insert(H.end(), P_reduced.begin(), P_reduced.end());
#endif
    }
    else {
        divide_and_conquer(P_reduced, H1, p1, p_far, buffered);
        divide_and_conquer(P_reduced, H2, p_far, p2, buffered);

#if USECONCVEC
        appendVector(H1, H);
        appendVector(H2, H);
#else // insert into STD::VECTOR
        H.insert(H.end(), H1.begin(), H1.end());
        H.insert(H.end(), H2.begin(), H2.end());
#endif
    }
}

void quickhull(const pointVec_t &points, pointVec_t &hull) {
    if (points.size() < 2) {
        appendVector(points, hull);
        return;
    }

    point_t p_maxx = extremum<FindXExtremum::maxX>(points);
    point_t p_minx = extremum<FindXExtremum::minX>(points);

    pointVec_t H;

    divide_and_conquer(points, hull, p_maxx, p_minx);
    divide_and_conquer(points, H, p_minx, p_maxx);

    appendVector(H, hull);
}

void quickhull(const pointVec_t &points, pointVec_t &hull) {
    if (points.size() < 2) {
        hull.insert(hull.end(), points.begin(), points.end());
        return;
    }
    point_t p_maxx = extremum<FindXExtremum::maxX>(points);
    point_t p_minx = extremum<FindXExtremum::minX>(points);

    pointVec_t H;

    divide_and_conquer(points, hull, p_maxx, p_minx);
    divide_and_conquer(points, H, p_minx, p_maxx);
    hull.insert(hull.end(), H.begin(), H.end());
}

void appendVector(const pointVec_t& src, pointVec_t& dest) {
    std::copy(src.begin(), src.end(), dest.grow_by(src.size()));
}

void grow_vector_to_at_least(pointVec_t& vect, size_t size) {
    vect.grow_to_at_least(size);
}

void appendVector(mutex_t& insertMutex, const pointVec_t& src, pointVec_t& dest) {
    mutex_t::scoped_lock lock(insertMutex);
    dest.insert(dest.end(), src.begin(), src.end());
}

point_t extremum(const pointVec_t &P) {
    FindXExtremum fxBody(P, type);
    tbb::parallel_reduce(range_t(0, P.size(), FindXExtremum::grainSize), fxBody);
    return fxBody.extremeXPoint();
}

point_t extremum(const pointVec_t &points) {
    assert(!points.empty());
    return std::for_each(points.begin(), points.end(), FindXExtremum(points[0], type));
}