## Copyright (C) 2004-2019 David Bateman
##
## This file is part of Octave.
##
## Octave is free software: you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation, either version 3 of the License, or
## (at your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, see
## <https://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {} {} bitcmp (@var{A}, @var{k})
## Return the @var{k}-bit complement of integers in @var{A}.
##
## If @var{k} is omitted @code{k = log2 (flintmax) + 1} is assumed.
##
## @example
## @group
## bitcmp (7,4)
##   @result{} 8
## dec2bin (11)
##   @result{} 1011
## dec2bin (bitcmp (11, 6))
##   @result{} 110100
## @end group
## @end example
##
## @seealso{bitand, bitor, bitxor, bitset, bitget, bitcmp, bitshift, flintmax}
## @end deftypefn

## Liberally based on the version by Kai Habel from Octave Forge

function C = bitcmp (A, k)

  if (nargin < 1 || nargin > 2)
    print_usage ();
  endif

  if (nargin == 2 && (! isscalar (k) || (floor (k) != k)))
    error ("bitcmp: K must be a scalar integer");
  endif

  if (isa (A, "double"))
    bmax = flintmax - 1;
    amax = ceil (log2 (bmax));
  elseif (isa (A, "single"))
    bmax = flintmax ("single") - 1;
    amax = ceil (log2 (bmax));
  elseif (isinteger (A))
    amax = sizeof (ones (1, class (A))) * 8;
    bmax = bitpack (true (amax, 1), class (A));
  else
    error ("bitcmp: invalid class %s", class (A));
  endif

  if (nargin == 1 || k == amax)
    C = bitxor (A, bmax);
  else
    m = double (k);
    if (any (m < 1) || any (m > amax))
      error ("bitcmp: K must be in the range [1,%d]", amax);
    endif
    mask = bitshift (bmax, k - amax);
    C = bitxor (bitand (A, mask), mask);
  endif

endfunction


%!test
%! Amax = 53;
%! Bmax = flintmax - 1;
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (1,Amax-1), bitshift (1,Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (1,Amax-2));
%! assert (bitcmp (A,Amax-2), 0);
%!test
%! Amax = 24;
%! Bmax = flintmax ("single") - 1;
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (single (1),Amax-1), bitshift (single (1),Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (single (1),Amax-2));
%! assert (bitcmp (A,Amax-2), single (0));
%!test
%! Amax = 8;
%! Bmax = intmax ("uint8");
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (uint8 (1),Amax-1), bitshift (uint8 (1),Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (uint8 (1),Amax-2));
%! assert (bitcmp (A,Amax-2), uint8 (0));
%!test
%! Amax = 16;
%! Bmax = intmax ("uint16");
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (uint16 (1),Amax-1), bitshift (uint16 (1),Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (uint16 (1),Amax-2));
%! assert (bitcmp (A,Amax-2), uint16 (0));
%!test
%! Amax = 32;
%! Bmax = intmax ("uint32");
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (uint32 (1),Amax-1), bitshift (uint32 (1),Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (uint32 (1),Amax-2));
%! assert (bitcmp (A,Amax-2), uint32 (0));
%!test
%! Amax = 64;
%! Bmax = intmax ("uint64");
%! A = bitshift (Bmax,-2);
%! assert (bitcmp (A,Amax),bitor (bitshift (uint64 (1),Amax-1), bitshift (uint64 (1),Amax-2)));
%! assert (bitcmp (A,Amax-1), bitshift (uint64 (1),Amax-2));
%! assert (bitcmp (A,Amax-2), uint64 (0));

## Do not forget signed integers
%!assert (bitcmp (int8 (127)), int8 (-128)) # [1 1 1 1 1 1 1 0]
%!assert (bitcmp (int8 (1)), int8 (-2))     # [1 0 0 0 0 0 0 0]
%!assert (bitcmp (int8 (0)), int8 (-1))     # [0 0 0 0 0 0 0 0]
%!assert (bitcmp (int8 (8)), int8 (-9))     # [0 0 0 1 0 0 0 0]
