path: root/nim/nmath.pas

//
//
//           The Nimrod Compiler
//        (c) Copyright 2008 Andreas Rumpf
//
//    See the file "copying.txt", included in this
//    distribution, for details about the copyright.
//

unit nmath;

interface

{$include 'config.inc'}

{@ignore}
uses
  nsystem;
{@emit}

function countBits(n: cardinal): int;
function IsPowerOfTwo(x: int): Boolean;
function nextPowerOfTwo(x: int): int;

implementation

function countBits(n: cardinal): int;
const
  lookup: array [0..255] of Byte = (
    0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3,
    2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4,
    2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5,
    4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4,
    3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6,
    4, 5, 5, 6, 5, 6, 6, 7, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4,
    3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5,
    4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 3, 3, 4, 3, 4, 4, 5,
    3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6,
    5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
    4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8
  );
var
  i: int;
begin
  result := 0;
  for i := 0 to sizeof(n)-1 do
    Inc(result, lookup[ (n shr (i * 8)) and 255 ])
end;

function IsPowerOfTwo(x: int): Boolean;
begin
  result := x and -x = x
end;

function nextPowerOfTwo(x: int): int;
begin
  result := x - 1;
  result := result or (result shr 16);
  result := result or (result shr 8);
  result := result or (result shr 4);
  result := result or (result shr 2);
  result := result or (result shr 1);
  Inc(result)
end;

end.