Say you want to write a procedure to integrate some real-valued function f (x) over some interval [a, b]. Say we want to use the 3-Point Gaussian method to do this (any will do, of course).
Ideally we want some function that looks like:
// 'f' is the integrand we want to integrate over [a, b] with 'n' subintervals.
static double Gauss3(Integrand f, double a, double b, int n) {
double res = 0;
// compute result
// ...
return res;
}
So we can pass in any Integrand
, f, and get its definite integral over the closed interval.
Just what type should Integrand
be?
Without Delegates
Well, without delegates, we'd need some sort of interface with a single method, say eval
declared as follows:
// Interface describing real-valued functions of one variable.
interface Integrand {
double eval(double x);
}
Then we'd need to create a whole bunch of classes implementing this interface, as follows:
// Some function
class MyFunc1 : Integrand {
public double eval(double x) {
return /* some_result */ ;
}
}
// Some other function
class MyFunc2 : Integrand {
public double eval(double x) {
return /* some_result */ ;
}
}
// etc
Then to use them in our Gauss3 method, we need to invoke it as follows:
double res1 = Gauss3(new MyFunc1(), -1, 1, 16);
double res2 = Gauss3(new MyFunc2(), 0, Math.PI, 16);
And Gauss3 needs to do the look like the following:
static double Gauss3(Integrand f, double a, double b, int n) {
// Use the integrand passed in:
f.eval(x);
}
So we need to do all that just to use our arbitrary functions in Guass3
.
With Delegates
public delegate double Integrand(double x);
Now we can define some static (or not) functions adhering to that prototype:
class Program {
static double MyFunc1(double x) { /* ... */ }
static double MyFunc2(double x) { /* ... */ }
// ... etc ...
public static double Gauss3(Integrand f, ...) {
// Now just call the function naturally, no f.eval() stuff.
double a = f(x);
// ...
}
// Let's use it
static void Main() {
// Just pass the function in naturally (well, its reference).
double res = Gauss3(MyFunc1, a, b, n);
double res = Gauss3(MyFunc2, a, b, n);
}
}
No interfaces, no clunky .eval stuff, no object instantiation, just simple function-pointer like usage, for a simple task.
Of course, delegates are more than just function pointers under the hood, but that's a separate issue (function chaining and events).