I'm trying to adjust some mathematical code I've written to allow for arbitrary functions, but I only seem to be able to do so by pre-defining them at compile time, which seems clunky. I'm currently using function pointers, but as far as I can see the same problem would arise with functors. To provide a simplistic example, for forward-difference differentiation the code used is:
double xsquared(double x) {
return x*x;
}
double expx(double x) {
return exp(x);
}
double forward(double x, double h, double (*af)(double)) {
double answer = (af(x+h)-af(x))/h;
return answer;
}
Where either of the first two functions can be passed as the third argument. What I would like to do, however, is pass user input (in valid C++) rather than having to set up the functions beforehand. Any help would be greatly appreciated!