Break

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The break (pseudo) 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 identifier 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).

program collatz(input, output, stderr);

procedure collatzIterative(n: qword);
var
	i: qword;
begin
	for i := 0 to high(i) do
	begin
		writeLn('step ', i:20, ': ', n);
		
		// Collatz conjecture: sequence ends with 1
		if (n = 1) or (n > (high(n) / 3 - 1)) then
		begin
			// leave loop, as next value may get out of range
			break;
		end;
		
		// n := ifThen(odd(n), 3 * n + 1, n div 2);
		if odd(n) then
		// n is odd
		begin
			n := 3 * n + 1;
		end
		// n is even
		else
		begin
			n := n div 2;
		end;
	end;
end;

var
	n: longword;
begin
	readLn(n);
	
	if n < 1 then
	begin
		writeLn(stderr, 'not a positive integer');
		halt(1);
	end;
	
	collatzIterative(n);
end.

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 was 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 body 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, apart from {$mode MacPas}, only knows break, though.

See also

sources

1
compare remarks in the reference manual § “The For..to/downto..do statement” and § “reserved words”