If I compile the code below, I get an
"Error C2064: term does not evaluate to a function taking 2 arguments"
in the doOpp() method. If I change q = f(p, i); for q = add(p, i); everything compiles fine (with add() being the second argument in the doOpp() method). I've tried a couple of solutions but nothing seems to work out. 
template <class T = double>
class Points {
public: 
    Points(void);
    Points(Point3d<T> *, int);
    Points(T *, int);
    Points(Points &);
    ~Points(void);
    void clear();
    int size();
    void push_back(Point3d<T> &);
    typename vector<Point3d<T>>::iterator begin(void){return pnts.begin();};
    typename vector<Point3d<T>>::iterator end(void){return pnts.end();};
    void assign(Point3d<T> *, int);
    void assign(T *, int);
    void assign(Points &);
    Points valid(void);
    Points valid(int *);
    bool setValid(int, bool);
    int validSize();
// Pointer to operator function prototype
    typedef Point3d<T> (__thiscall Points<T>::*oppFunc) (Points<T> &, int);
    Points operator=(Points &);
// + Operator method
    Points operator+(Points &p){return doOpp(p, &Points<T>::add);};
    Points operator-(Points &){return doOpp(p, &Points<T>::sub);};
    Points operator*(Points &){return doOpp(p, &Points<T>::mlt);};;
private:
    Points(int);
    void assign(int);
    int assign(Points &, Points &);
    vector<Point3d<T>> pnts;
    bool isSameSize(Points<T> &, char *);
// General purpose operator function
    Points doOpp(Points<T> &, oppFunc);
// Addition method called by doOpp
    Point3d<T> add(Points &p, int i) {return pnts[i] + p.pnts[i];}
    Point3d<T> sub(Points &p, int i) {return pnts[i] - p.pnts[i];}
    Point3d<T> mlt(Points &p, int i) {return pnts[i] * p.pnts[i];}
};
template <class T> int
Points<T>::assign(Points &p1, Points &p2) {
    int s = min(p1.size(), p2.size());
    assign(s);
    return s;
}
template <class T> bool
Points<T>::isSameSize(Points &p, char *s) {
    bool    same = (pnts.size() == p.pnts.size());
    #ifndef POINTS_NO_THROW
    if (!same) {
        PointsException e;
        e.setMessage((string) s + " source sizes not equal");
        throw e;
    }
    #endif
    return same;
}
template <class T> Points<T>
Points<T>::doOpp(Points &p, oppFunc f) {
    isSameSize(p, __FUNCTION__);
    Points<T>   r;
    int         s = r.assign(*this, p);
    Point3d<T>  q;
    for (int i = 0; i < s; i++) {
        q = f(p, i); // Causes error C2064 but q = add(p, i); works fine
    }
    return r;
}
int
main () {
    Points<>    p, q;
    q.assign(a, 4);
    p = q + q;
    return 1;
}
                Since oppFunc f is a member function pointer you should use the special syntax to make a call through a member function pointer:
q = (this->*f)(p, i);
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