## Beginning C# – Loops and increments

Part of a computer’s charm is its ability to do repetitive tasks in a consistent manner. Doing lightning fast calculations? Good. Doing those calculations with accurate results? Better. Doing those calculations with accurate results everyday for the past year and not complaining? Oh my goodness!

The basis of programming this repetitive behaviour is the loop. There are 4 kinds of loops:

• `for `loop
• `while `loop
• `do-while `loop
• `foreach `loop

We’ll look at the `for `and `while `loops since they’re more common. In the following example code, we’ll be looking at the calculation of factorials. The factorial of 5, represented in mathematics as 5!, is equal to 1x2x3x4x5 = 120. From Wikipedia’s description of factorials,

In mathematics, the factorial of a non-negative integer n is the product of all positive integers less than or equal to n

Oh yes, the example code:

```            const int cnFactorial = 7;
// the following line of code will fail
// because cnFactorial is a constant
//cnFactorial = 5;

int i, result;

result = 1;
for (i = 1; i <= cnFactorial; ++i)
{
result = result * i;
}
Console.WriteLine("Factorial for {0} is {1}", cnFactorial, result);

result = 1;
i = 1;
while (i < cnFactorial + 1)
{
result = result * i;
i++;
}
Console.WriteLine("Result is {1} for {0}!", cnFactorial, result);

Console.WriteLine("End of program");
```

Constants
Right there on the first line, we hit our new keyword `const`. It makes our integer variable cnFactorial a constant. Any value first assigned to cnFactorial can never be changed thereafter. Certain values are always the same, like PI (3.14159) or the number of months in a year (12). Adding the `const `keyword in front of a variable declaration fixes that value, reducing programming errors in case we super coders forget and happen to change an unchangeable value.

The resulting executable is also leaner because the computer compiler will, in effect, replace every occurrence of the constant variable’s name with the constant value. This means that program only has the constant value, and not the constant variable! Constant values take up less space in a program than variables.

Anatomy of a `for `loop
The for loop has 3 parts, separated by semicolons: initialiser, terminator and incrementor.
for (initialiser; terminator; incrementor)

The initialiser sets the starting conditions for the `for `loop. This is a good place to code any variable assignments such as resetting variable values.

The terminator is where you code the stopping condition for the `for `loop. Many a programmer has failed at least once, where they gave the wrong stopping condition and the `for `loop never ends. At best, the infinite loop keeps printing out messages. At worst, the computer crashes. Code with caution!

The incrementor is where something is usually changed, before checking the terminating condition.

It’s easier to just go through the code:

```            result = 1;
for (i = 1; i <= cnFactorial; ++i)
{
result = result * i;
}
```

First, we assign the value of 1 to the variable “result”. Then in the initialiser of the `for `loop, we assign 1 to the variable i. There’s this unofficial type of variable which I’ll call the “loopers”. These looper variables are declared for the sole purpose of running through the `for `loop. They are also usually single characters by name. i, j, k and a, b, c and p, q, r and x, y, z are the more common ones.

Then the terminating condition reads “If i is less than or equal to cnFactorial, continue”.

The code in the incrementor, `++i`, is a shortcut for “Add 1 to the value of i, then assign this new value to i”. It is equivalent to

```i = i + 1;
```

Then the contents of the `for `loop reads “Multiply the value in variable ‘result’ by the value in variable ‘i’, and then assign this new value to ‘result’.”

The whole flow of the logic is like this:

1. result has value of 1
2. Start of `for `loop, i has value of 1
3. Check that i (1) is less than or equal to cnFactorial (7), which is true so…
4. Assign result (1) * i (1) which is 1 (1*1) to result
5. Do `++i`, so i now has value of 2
6. Check that i (2) is less than or equal to cnFactorial (7), which is true so…
7. Assign result (1) * i (2) which is 2 (1*2) to result
8. Do `++i`, so i now has value of 3
9. Check that i (3) is less than or equal to cnFactorial (7), which is true so…
10. Assign result (2) * i (3) which is 6 (2*3) to result
11. Do `++i`, so i now has value of 4
12. Check that i (4) is less than or equal to cnFactorial (7), which is true so…
13. Assign result (6) * i (4) which is 24 (6*4) to result
14. Do `++i`, so i now has value of 5
15. Check that i (5) is less than or equal to cnFactorial (7), which is true so…
16. Assign result (24) * i (5) which is 120 (24*5) to result
17. Do `++i`, so i now has value of 6
18. Check that i (6) is less than or equal to cnFactorial (7), which is true so…
19. Assign result (120) * i (6) which is 720 (120*6) to result
20. Do `++i`, so i now has value of 7
21. Check that i (7) is less than or equal to cnFactorial (7), which is true so…
22. Assign result (720) * i (7) which is 5040 (720*7) to result
23. Do `++i`, so i now has value of 8
24. Check that i (8) is less than or equal to cnFactorial (7), which is false so we terminate the loop! Whoopee!

The purpose of that incredibly and mind-numbingly long and tedious explanation is so you can appreciate how obliging the computer is when performing repetitive tasks. Anyway, we then print the result. This time, we format the output a little.

```            Console.WriteLine("Factorial for {0} is {1}", cnFactorial, result);
```

The `{0}` and `{1}` are placeholders, where `{0}` refers to the first value (cnFactorial) and `{1}` refers to the second value (result) after the string.

Why does `{0}` refer to the first value? Good question. Unfortunately I don’t have an easy answer. It is primarily due to the ancient programming custom of offsets, where the first item is offset by 0 positions. The second item is offset by 1 position. This has caused many beginner programmers to falter.

Homework
Unravel the logic for the `while `loop in the manner demonstrated above. Yes it’s tedious, but it’ll make you a better person. The `while `loop takes in only the terminating condition.

You’ll also notice the `i++` and it does exactly the same thing as `++i`. What’s the difference? Ahhh… but that is your second piece of homework. *grin*