PL/0
PL/0 is a programming language, intended as an educational programming language, that is similar to but much simpler than Pascal, a general-purpose programming language. It serves as an example of how to construct a compiler. It was originally introduced in the book, Algorithms + Data Structures = Programs, by Niklaus Wirth in 1976. It features quite limited language constructs: there are no real numbers, very few basic arithmetic operations and no control-flow constructs other than "if" and "while" blocks. While these limitations make writing real applications in this language impractical, it helps the compiler remain compact and simple.
Features
All constants and variables used must be declared explicitly.The only data types are integers. The only operators are arithmetic and comparison operators. There is an
odd function that tests whether the argument is odd.In the original implementation presented by Wirth, there are no input and output routines. The compiler prints the value as a given variable changes. So the program:
var i, s;
begin
i := 0; s := 0;
while i < 5 do
begin
i := i + 1;
s := s + i * i
end
end.
gives the output:
0
0
1
1
2
5
3
14
4
30
5
55
However, most implementations have single input and single output routines.
Flow control structures are
if-then and while-do constructs and user-defined procedures. Procedures cannot accept parameters.Grammar
The following is the syntax rules of the model language defined in EBNF:program = block "." ;
block =
statement ;
statement = ;
condition = "odd" expression |
expression expression ;
expression = term ;
term = factor ;
factor = ident | number | "";
It is rather easy for students to write a recursive descent parser for such a simple syntax. Therefore, the PL/0 compiler is still widely used in courses on compiler construction throughout the world. Due to the lack of features in the original specification, students usually spend most of their time with extending the language and their compiler. They usually start with introducing
REPEAT.. UNTIL and continue with more advanced features like parameter passing to procedures or data structures like arrays, strings or floating point numbers.Use in education
The main article on compilers honours PL/0 for introducing several influential concepts to the field by educating students to use these concepts. Over the last 3 decades, most university courses on compiler construction that used PL/0 have followed Wirth strictly in employing these techniques. Some years ago university courses deviated from the course set by Wirth with the replacement of the classical recursive descent parsing technique by a Unix-like approach of employing lex and yacc. Only recently an implementation along this way has also combined modern concepts like object-orientation and design patterns with a modern scripting language, allowing students to consume the source text of the implementation in a contemporary programming style.Compiler construction
In December 1976, Wirth wrote a small booklet about compiler construction, containing the full source code of the PL/0 compiler. The syntax rules above were taken from this first edition of Wirth's book Compilerbau. In later editions of this book Wirth changed the syntax of PL/0. He changed the spelling of keywords likeconst and procedure to uppercase. This change made PL/0 resemble Modula-2 more closely. At the same time, Wirth's friend and collaborator C. A. R. Hoare was working on his influential communicating sequential processes concept, which used the exclamation mark ! and the question mark ? to denote communication primitives. Wirth added both symbols to the PL/0 language, but he did not mention their semantics in the book.Examples
This program outputs the squares of numbers from 1 to 10. Most courses in compiler construction today have replaced the exclamation mark with theWriteLn procedure.VAR x, squ;
PROCEDURE square;
BEGIN
squ:= x * x
END;
BEGIN
x := 1;
WHILE x <= 10 DO
BEGIN
CALL square;
! squ;
x := x + 1
END
END.
This following program prints the prime numbers from 1 to 100. The write statement corresponds to '!' statement in the EBNF syntax above.
const max = 100;
var arg, ret;
procedure isprime;
var i;
begin
ret := 1;
i := 2;
while i < arg do
begin
if arg / i * i = arg then
begin
ret := 0;
i := arg
end;
i := i + 1
end
end;
procedure primes;
begin
arg := 2;
while arg < max do
begin
call isprime;
if ret = 1 then write arg;
arg := arg + 1
end
end;
call primes
The following example was taken from the second edition of Wirth's book Compilerbau, which appeared in 1986 in Germany.
VAR x, y, z, q, r, n, f;
PROCEDURE multiply;
VAR a, b;
BEGIN
a := x;
b := y;
z := 0;
WHILE b > 0 DO
BEGIN
IF ODD b THEN z := z + a;
a := 2 * a;
b := b / 2
END
END;
PROCEDURE divide;
VAR w;
BEGIN
r := x;
q := 0;
w := y;
WHILE w <= r DO w := 2 * w;
WHILE w > y DO
BEGIN
q := 2 * q;
w := w / 2;
IF w <= r THEN
BEGIN
r := r - w;
q := q + 1
END
END
END;
PROCEDURE gcd;
VAR f, g;
BEGIN
f := x;
g := y;
WHILE f # g DO
BEGIN
IF f < g THEN g := g - f;
IF g < f THEN f := f - g
END;
z := f
END;
PROCEDURE fact;
BEGIN
IF n > 1 THEN
BEGIN
f := n * f;
n := n - 1;
CALL fact
END
END;
BEGIN
?x; ?y; CALL multiply; !z;
?x; ?y; CALL divide; !q; !r;
?x; ?y; CALL gcd; !z;
?n; f := 1; CALL fact; !f
END.