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first checks whether x is less than 5, which it is, so then the {loop body} is entered, where the printf function is run and x is incremented by 1. After completing all the statements in the loop body, the condition, (x < 5), is checked again, and the loop is executed again, this process repeating until the variable x has the value 5.
The following is a C-style While loop. It continues looping while x does not equal 3, or in other words it only stops looping when x equals 3. However, since x is initialized to 0 and the value of x is never changed in the loop, the loop will never end (infinite loop).
If in the 'addition' program above the second loop decrements x 0 instead of incrementing, the program computes the difference (cut off at 0) of the variables and . x 0 := x 1 LOOP x 2 DO x 0 := x 0 ∸ 1 END. Like before we can extend the LOOP syntax with the statement: x 0 := x 1 ∸ x 2
An example of a primitive recursive programming language is one that contains basic arithmetic operators (e.g. + and −, or ADD and SUBTRACT), conditionals and comparison (IF-THEN, EQUALS, LESS-THAN), and bounded loops, such as the basic for loop, where there is a known or calculable upper bound to all loops (FOR i FROM 1 TO n, with neither i ...
In other words, it is a path whose initial point is equal to its terminal point. [1] A loop may also be seen as a continuous map f from the pointed unit circle S 1 into X, because S 1 may be regarded as a quotient of I under the identification of 0 with 1. The set of all loops in X forms a space called the loop space of X. [1]
Do while loops check the condition after the block of code is executed. This control structure can be known as a post-test loop. This means the do-while loop is an exit-condition loop. However a while loop will test the condition before the code within the block is executed.
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For example, a loop that iterates five times (from 0 to 4 inclusive) can be written as a half-open interval from 0 to 5: for ( index = 0 ; index < 5 ; index ++ ) { /* Body of the loop */ } The loop body is executed first of all with index equal to 0; index then becomes 1, 2, 3, and finally 4 on successive iterations.