How to interpret nested for loops

Computer Science
Tutor: None Selected Time limit: 1 Day

in c++

Nov 19th, 2014

We have seen the advantages of using various methods of iteration, or looping.
Now let's take a look at what happens when we combine looping procedures. 

  The placing of one loop inside the body of another loop is called nesting.  When you "nest" two loops, the outer loop takes control of the number of complete repetitions of the inner loop. While all types of loops may be nested, the most commonly nested loops arefor loops.

[img border="0" src="http://mathbits.com/MathBits/CompSci/looping/nested.gif" width="121" height="115">
nested loops

Let's look at an example of nested loops at work.

We have all seen web page counters that resemble the one shown below ( well, OK, maybe not quite this spastic!!).  Your car's odometer works in a similar manner.

[img border="0" src="http://mathbits.com/MathBits/CompSci/looping/Big-ones.gif" width="120" height="20">

for loops, each going from 0 to 9.  The far-right number iterates the fastest, visibly moving from 0 to 9 as you drive your car or increasing by one as people visit a web site.  A for loop which imitates the movement of the far-right number is shown below:

for(num1 = 0; num1 <= 9; num1++)
{
  cout << num1 << endl;
}

  The far-right number, however, is not the only number that is moving.  All of the other numbers are moving also, but at a much slower pace.  For every 10 numbers that move in the column on the right, the adjacent column is incremented by one.  The two nested loops shown below may be used to imitate the movement of the two far-right numbers of a web counter or an odometer:

[img border="0" src="http://mathbits.com/MathBits/CompSci/looping/nestarrows.gif" width="414" height="201">

When working with nested loops, the outer loop changes only after the inner loop is completely finished (or is interrupted.).

Let's take a look at a trace of two nested loops.  In order to keep the trace manageable, the number of iterations have been shortened.

for(num2 = 0; num2 <= 3;  num2++)
{
  for(num1 = 0; num1 <= 2; num1++)
  {
  cout<< num2<< "  " << num1<< endl;
  }

MemoryScreen
int num2 int num1
00
1
2
end loop
10
1
2
end loop
20
1
2
end loop
30
1
2
end loop
end loop

  Remember, in the memory, for loops will register a value one beyond (or the step beyond) the requested ending value in order to disengage the loop.

0  0
0  1
0  2
1  0
1  1
1  2
2  0
2  1
2  2
3  0
3  1
3  2


Nov 19th, 2014

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Nov 19th, 2014
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Nov 19th, 2014
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