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## Copyright (C) 2000-2013 Daniel Calvelo
##
## 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
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {} base2dec (@var{s}, @var{base})
## Convert @var{s} from a string of digits in base @var{base} to a decimal
## integer (base 10).
##
## @example
## @group
## base2dec ("11120", 3)
## @result{} 123
## @end group
## @end example
##
## If @var{s} is a string matrix, return a column vector with one value per
## row of @var{s}. If a row contains invalid symbols then the
## corresponding value will be NaN@.
##
## If @var{s} is a cell array of strings, return a column vector with one
## value per cell element in @var{s}.
##
## If @var{base} is a string, the characters of @var{base} are used as the
## symbols for the digits of @var{s}. Space (' ') may not be used as a
## symbol.
##
## @example
## @group
## base2dec ("yyyzx", "xyz")
## @result{} 123
## @end group
## @end example
## @seealso{dec2base, bin2dec, hex2dec}
## @end deftypefn
## Author: Daniel Calvelo <dcalvelo@yahoo.com>
## Adapted-by: Paul Kienzle <pkienzle@kienzle.powernet.co.uk>
function out = base2dec (s, base)
if (nargin != 2)
print_usage ();
endif
if (iscellstr (s))
s = char (s);
elseif (! ischar (s))
error ("base2dec: S must be a string or cellstring");
endif
symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
if (ischar (base))
symbols = base;
base = length (symbols);
if (length (unique (symbols)) != base)
error ("base2dec: symbols representing digits must be unique");
endif
if (any (isspace (symbols)))
error ("base2dec: whitespace characters are not valid symbols");
endif
elseif (! isscalar (base))
error ("base2dec: cannot convert from several bases at once");
elseif (base < 2 || base > length (symbols))
error ("base2dec: BASE must be between 2 and 36, or a string of symbols");
else
s = toupper (s);
endif
## Right justify the values and squeeze out any spaces.
## This looks complicated, but indexing solution is very fast
## compared to alternatives which use cellstr or cellfun or looping.
[nr, nc] = size (s);
if (nc > 1) # Bug #35621
s = s.';
nonbl = s != " ";
num_nonbl = sum (nonbl);
nc = max (num_nonbl);
num_blank = nc - num_nonbl;
R = repmat ([1 2; 0 0], 1, nr);
R(2, 1:2:2*nr) = num_blank;
R(2, 2:2:2*nr) = num_nonbl;
idx = repelems ([false, true], R);
idx = reshape (idx, nc, nr);
## Create a blank matrix and position the nonblank characters.
s2 = repmat (" ", nc, nr);
s2(idx) = s(nonbl);
s = s2.';
endif
## Lookup value of symbols in symbol table, with invalid symbols
## evaluating to NaN and space evaluating to 0.
table = NaN (1, 256);
table(toascii (symbols(1:base))) = 0 : base-1;
table(toascii (" ")) = 0;
s = reshape (table(toascii (s)), size (s));
## Multiply the resulting digits by the appropriate power
## and sum the rows.
out = s * (base .^ (columns(s)-1 : -1 : 0)');
endfunction
%!assert (base2dec ("11120", 3), 123)
%!assert (base2dec ("yyyzx", "xyz"), 123)
%!assert (base2dec ("-1", 2), NaN)
%!assert (base2dec ({"A1", "1A"}, 16), [161; 26])
%% Bug #35621
%!assert (base2dec (["0"; "1"], 2), [0; 1])
%%Test input validation
%!error base2dec ()
%!error base2dec ("11120")
%!error base2dec ("11120", 3, 4)
%!error base2dec ("11120", "1231")
%!error base2dec ("11120", "12 3")
%!error base2dec ("11120", ones (2))
%!error base2dec ("11120", 37)
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