Break
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The break
routine effectively destroys a loop.
Its primary application is to exit a loop prior its planned end.
Break
, with its special meaning of abandoning a loop, can only be written within loops.
It is not a reserved word¹, therefore you could shadow it, but access it by writing the fully qualified identfier system.break
at any time, though.
Collatz conjecture
Example:
The following program tackles the Collatz problem.
The for
-loop in collatzIterative
uses a break
, a) to check for the terminating condition according to Collatz' problem, b) to abort prior reaching the data type's boundaries, and c) while still using the advantage of the for
-construct (i.e. automatically incrementing a variable within a specified range).
1program collatz(input, output, stderr);
2
3procedure collatzIterative(n: qword);
4var
5 i: qword;
6 // i: integer;
7begin
8 for i := 0 to high(i) do
9 begin
10 writeLn('step ', i:20, ': ', n);
11
12 // Collatz conjecture: sequence ends with 1
13 if (n = 1) or (n > (high(n) / 3 - 1)) then
14 begin
15 // leave loop, as next value may get out of range
16 break;
17 end;
18
19 // n := ifThen(n mod 2 = 0, n div 2, 3 * n + 1);
20 if odd(n) then
21 // n is odd
22 begin
23 n := 3 * n + 1;
24
25 end
26 // n is even
27 else
28 begin
29 n := n div 2;
30 end;
31 end;
32end;
33
34var
35 n: longword;
36begin
37 readLn(n);
38
39 if n < 1 then
40 begin
41 writeLn(stderr, 'not a positive integer');
42 halt(1);
43 end;
44
45 collatzIterative(n);
46end.
Choosing a for
-loop in conjunction with a break
is adequate, since the Collatz conjecture hypothesizes that the described function eventually ends in 1
, but does not tell for sure.
Therefore – mathematically speaking – writing while n <> 1 do
does not consider the circumstance, that the problem is an assumption, but would suggest it is determined to eventually result in n = 1
.
Other remarks
However, the usage of break
is usually considered as bad style, since it “delegitimizes” the loop's condition expression.
You have to know a loop's statement block contains a break
to determine all abort conditions.
According to the GPC manual, break
is a Borland Pascal extension, whereas Mac Pascal has leave
.
FPC only knows break
, though.
See also
break
in thesystem
unitexit
to return from routinescontinue
to skip the rest of an iterationgoto
sources
- 1
- compare remarks in the reference manual § “The
For..to
/downto..do
statement” and § “reserved words”