So you’ve learnt a bit about variables such as `int`

s and `float`

s. What happens if you need, say a bunch of integer variables with similar purposes? For example, ten decimal variables to store prices. This is where arrays come in.

Arrays offer a simple syntax to declare a series of variables of the same type with minimum work. Think of arrays as boxes in sequential order, where the boxes can only hold a certain type of item.

When someone uses the term “array”, the person usually means a one-dimensional array. What’s the difference? Imagine you have a series of boxes. That’s a one-dimensional array. Then imagine each of those boxes is the start of another series of boxes. That’s a two-dimensional array. You can even go on to three-dimensional arrays, where you stack two-dimensional arrays on top of each other.

Alright then, how do you use them? Here comes the source code.

const int numberofelements = 10; double[] multiplesofpi = new double[numberofelements]; int i; for (i = 0; i < numberofelements; ++i) { // The result of an operation between two numbers has // the precision of the number with the higher precision. // Math.PI is a double, which has a higher precision than // i, an integer. So the result of i * Math.PI is a // double. multiplesofpi[i] = i * Math.PI; } // reverse the for loop for (i = numberofelements - 1; i >= 0; ----i) { Console.WriteLine("Box {0} has {1}", i, multiplesofpi[i]); } Console.WriteLine("End of program"); Console.ReadLine();

So we declare an array of `double`

s named multiplesofpi. Note the square brackets after the `double`

. This line

double[] multiplesofpi = new double[numberofelements];

just tells the compiler that we want an array of `double`

s. The `new`

keyword simply tells the compiler to create a new array of `double`

s, with “numberofelements” number of `double`

s bunched together. Remember the const keyword we learnt?

for (i = 0; i < numberofelements; ++i) { // The result of an operation between two numbers has // the precision of the number with the higher precision. // Math.PI is a double, which has a higher precision than // i, an integer. So the result of i * Math.PI is a // double. multiplesofpi[i] = i * Math.PI; }

In the `for`

loop, we assign each element of the array with a value. Each array element can be accessed using an *index*, which in our case is the variable i.

There are 10 *iterations *in this case. An iteration refers to an instance of something being done repetitively, such as in a `for`

loop, or `while `

loop. In each iteration, we multiply the number of the iteration by the value of PI, which is about 3.14159. The `Math `

library provided by .NET already contains the constant value of PI, so we’ll just use that.

It takes some getting used to, but computers really like counting from zero. We humans start counting from 1, and for a long time, cannot grasp the idea of nothingness. Computers however, have no problems with zero. Maybe they’re more advanced than us humans…

Anyway, we then practise reversing the `for `

loop with

// reverse the for loop for (i = numberofelements - 1; i >= 0; ----i) { Console.WriteLine("Box {0} has {1}", i, multiplesofpi[i]); }

This is important, because there will come a time in your programming life where going backwards and forwards in a sequential manner is critical. Besides, it trains your mind to think differently, and that’s great by itself.

**Homework**

Write the first `for `

loop in reverse manner. Then try writing the second `for `

loop in forward manner. Convince yourself that the array will contain the same values, regardless of whether the `for `

loop is in forward manner or reverse manner.