9. Loops

For repeated execution of similar things, loops are used. If you are familiar with other programming languages you have probably heard about for-loops, while-loops, and until-loops. Fortran 77 has only one loop construct, called the do-loop. The do-loop corresponds to what is known as a for-loop in other languages. Other loop constructs have to be simulated using the if and goto statements.

do-loops

The do-loop is used for simple counting. Here is a simple example that prints the cumulative sums of the integers from 1 through n (assume n has been assigned a value elsewhere): 
      integer i, n, sum
 
      sum = 0
      do 10 i = 1, n
         sum = sum + i
         write(*,*) 'i =', i
         write(*,*) 'sum =', sum
  10  continue
The number 10 is a statement label. Typically, there will be many loops and other statements in a single program that require a statement label. The programmer is responsible for assigning a unique number to each label in each program (or subprogram). Recall that column positions 2-5 are reserved for statement labels. The numerical value of statement labels have no significance, so any integer numbers can be used. Typically, most programmers increment labels by 10 at a time.

The variable defined in the do-statement is incremented by 1 by default. However, you can define any other integer to be the step. This program segment prints the even numbers between 1 and 10 in decreasing order: 

      integer i
 
      do 20 i = 10, 1, -2
         write(*,*) 'i =', i
  20  continue

The general form of the do loop is as follows: 

      do label  var =  expr1, expr2, expr3
         statements
label continue
var is the loop variable (often called the loop index) which must be integer. expr1 specifies the initial value of var, expr2 is the terminating bound, and expr3 is the increment (step).

Note: The do-loop variable must never be changed by other statements within the loop! This will cause great confusion.

Many Fortran 77 compilers allow do-loops to be closed by the enddo statement. The advantage of this is that the statement label can then be omitted since it is assumed that an enddo closes the nearest previous do statement. The enddo construct is widely used, but it is not a part of ANSI Fortran 77.

while-loops

The most intuitive way to write a while-loop is 
      while (logical expr) do
         statements
      enddo
or alternatively, 
      do while (logical expr) 
         statements
      enddo
The statements in the body will be repeated as long as the condition in the while statement is true. Even though this syntax is accepted by many compilers, it is not ANSI Fortran 77. The correct way is to use if and goto: 
label if (logical expr) then
         statements
         goto label
      endif

Here is an example that calculates and prints all the powers of two that are less than or equal to 100: 

     integer n

     n = 1
  10 if (n .le. 100) then
        n = 2*n
        write (*,*) n
        goto 10
     endif

until-loops

If the termination criterium is at the end instead of the beginning, it is often called an until-loop. The pseudocode looks like this: 
      do
         statements
      until (logical expr)
Again, this should be implemented in Fortran 77 by using if and goto: 
label continue
         statements
      if (logical expr) goto label
Note that the logical expression in the latter version should be the negation of the expression given in the pseudocode!

Loops in Fortran 90

Fortran 90 has adopted the do-enddo construct as its loop construct. So our "counting down in twos" example will look like this: 
      do i = 10, 1, -2
         write(*,*) 'i =', i
      end do
For while and until loops you also use the do-enddo construct, but you have to add a conditional exit statement. The general case is: 
      do
         statements
         if (logical expr) exit
         statements
      end do
If you have the exit condition at the beginning it is a while loop, and if it is at the end you have an until loop.

Exercises

Exercise A
Rewrite these pseudo-code loops into proper Fortran 77 syntax. Avoid goto if possible. 
      i = 1
      while (i<100) do
         sum = sum + i
         i = i+2
      enddo


      i = 0
      x = 1.0
      repeat
         x = f(x)
         i = i+1
      until (x<0)
      write(*,*) i, x

Exercise B
The following code is poorly written. Rewrite it in good F77 style. (Tip: Compile and run to verify that the new version gives the same answer as the old version.) 
      i = 1
      sum = 0
   10 do 20 i = 1, 50
         if (i .gt. 10) goto 30
         sum = sum + i
   20 continue
   30 if (i. le. 20) then
         sum = sum - 1
         goto 20
      else
         sum = 2*sum
      endif
      write(*,*) 'Sum =', sum
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