ack/util/int/test/awa.p

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1988-06-24 15:40:41 +00:00
{ $Header$ }
program ArrayWithoutArray(input, output);
{ We simulate a (read-only) array by constructing a mapping
function map(n) which yields the n-th element.
We demonstrate its existence by first printing the length
of the array and then its contents.
This technique was first introduced by F.E.J. Kruseman-Aretz,
in the early sixties.
}
procedure Action(n: integer; function map(n: integer): integer);
{ Action is called when the construction of the virtual
array is finished. Actually, all elements now reside
on the stack.
n: the length of the array,
map: the mapping function.
}
var i: integer;
begin { show that the whole array is still there }
writeln('#elems:', n);
write('elems:');
for i:= 1 to n do
write(map(i))
end {Action};
procedure Construct(n: integer; function oldmap(n: integer): integer);
{ For each value read, Construct will store that value and
declare a new map function, composed of the old one
augmented by the new value.
It then calls itself recursively for the next value.
n: element number on this level
oldmap: map for 1 .. n-1
}
var x: integer; { the value stored at level n }
function newmap(i: integer): integer;
{ yields elements stored so far }
begin
if { the i-th element is kept on this level}
i = n
then { yield it }
newmap := x
else { try lower down the road }
newmap := oldmap(i)
end {newmap};
begin
read(x);
if { it is a valid value }
x >= 0
then { we continue reading values and constructing maps }
Construct(n + 1, newmap)
else { we stop reading and pass the info on to Action }
Action(n - 1, newmap)
end {Construct};
function EmptyMap(n: integer): integer;
begin
writeln('Illegal index', n, '; 0 yielded.');
EmptyMap := 0
end {EmptyMap};
begin
Construct(1, EmptyMap)
end.