Factorial: Difference between revisions

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==References==
[http://en.wikipedia.org/wiki/Factorial Wikipedia]
 
=={{header|Ada}}==
<Ada>
function Factorial (N : Positive) return Positive is
Result : Positive := N;
Counter : Natural := N - 1;
begin
for I in reverse 1..Counter loop
Result := Result * I;
end loop;
return Result;
end Factorial;
</Ada>
 
=={{header|Python}}==

Revision as of 03:27, 17 August 2008

Task
Factorial
You are encouraged to solve this task according to the task description, using any language you may know.

The Factorial Function is the product of a sequence n, n-1, n-2...1 starting at the input number to the function.

Write a function to factorialise a number. Solutions can be iterative or recursive (though recursive solutions are generally considered too slow and are mostly used as an exercise in recursion). Support for negative n errors is optional.

References

Wikipedia

Ada

<Ada> function Factorial (N : Positive) return Positive is

  Result : Positive := N;
  Counter : Natural := N - 1;

begin

  for I in reverse 1..Counter loop
     Result := Result * I;
  end loop;
  return Result;

end Factorial; </Ada>

Python

Iterative

<python>def factorial(n):

   z=n
   while n>1:
       n=n-1
       z=z*n
   return z

</python>

Recursive

<python>def factorial(n):

   z=1
   if n>1:
       z=n*factorial(n-1)
   return z

</python>

ALGOL 68

Iterative

PROC factorial = (INT in n)LONG LONG INT:(
  INT n := in n;
  LONG LONG INT z := n;
  WHILE n>1 DO
    n -:= 1;
    z *:= n
  OD;
  z
); ~

Recursive

PROC factorial = (INT n)LONG LONG INT:(
  IF n>1 THEN
    n*factorial(n-1)
  ELSE
    1
  FI
); ~