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## Copyright (C) 2000-2013 Paul Kienzle
## Copyright (C) 2008 Jaroslav Hajek
##
## 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} {} repmat (@var{A}, @var{m})
## @deftypefnx {Function File} {} repmat (@var{A}, @var{m}, @var{n})
## @deftypefnx {Function File} {} repmat (@var{A}, [@var{m} @var{n}])
## @deftypefnx {Function File} {} repmat (@var{A}, [@var{m} @var{n} @var{p} @dots{}])
## Form a block matrix of size @var{m} by @var{n}, with a copy of matrix
## @var{A} as each element. If @var{n} is not specified, form an
## @var{m} by @var{m} block matrix. For copying along more than two
## dimensions, specify the number of times to copy across each dimension
## @var{m}, @var{n}, @var{p}, @dots{}, in a vector in the second argument.
## @seealso{repelems}
## @end deftypefn
## Author: Paul Kienzle <pkienzle@kienzle.powernet.co.uk>
## Created: July 2000
function x = repmat (A, m, n)
if (nargin < 2 || nargin > 3)
print_usage ();
endif
if (nargin == 3)
if (! isempty (m) && isempty (n))
m = m(:).';
n = 1;
elseif (isempty (m) && ! isempty (n))
m = n(:).';
n = 1;
elseif (isempty (m) && isempty (n))
m = n = 1;
else
if (all (size (m) > 1))
m = m(:,1);
if (numel (m) < 3)
n = n(end);
else
n = [];
endif
endif
if (all (size (n) > 1))
n = n(:,1);
endif
m = m(:).';
n = n(:).';
endif
else
if (isempty (m))
m = n = 1;
elseif (isscalar (m))
n = m;
elseif (ndims (m) > 2)
error ("repmat: M has more than 2 dimensions")
elseif (all (size (m) > 1))
m = m(:,1).';
n = [];
else
m = m(:).';
n = [];
endif
endif
idx = [m, n];
if (all (idx < 0))
error ("repmat: invalid dimensions")
else
idx = max (idx, 0);
endif
if (numel (A) == 1)
## optimize the scalar fill case.
if (any (idx == 0))
x = resize (A, idx);
else
x(1:prod (idx)) = A;
x = reshape (x, idx);
endif
elseif (ndims (A) == 2 && length (idx) < 3)
if (issparse (A))
x = kron (ones (idx), A);
else
## indexing is now faster, so we use it rather than kron.
m = rows (A); n = columns (A);
p = idx(1); q = idx(2);
x = reshape (A, m, 1, n, 1);
x = x(:, ones (1, p), :, ones (1, q));
x = reshape (x, m*p, n*q);
endif
else
aidx = size (A);
## ensure matching size
idx(end+1:length (aidx)) = 1;
aidx(end+1:length (idx)) = 1;
## create subscript array
cidx = cell (2, length (aidx));
for i = 1:length (aidx)
cidx{1,i} = ':';
cidx{2,i} = ones (1, idx (i));
endfor
aaidx = aidx;
## add singleton dims
aaidx(2,:) = 1;
A = reshape (A, aaidx(:));
x = reshape (A (cidx{:}), idx .* aidx);
endif
endfunction
# Tests for ML compatibility
%!shared x
%! x = [1 2 3];
%!assert (repmat (x, [3, 1]), repmat (x, 3, []))
%!assert (repmat (x, [3, 1]), repmat (x, [], 3))
%!assert (repmat (x, [1, 3]), repmat (x, [], [1, 3]))
%!assert (repmat (x, [1, 3]), repmat (x, [1, 3], []))
%!assert (repmat (x, [1 3]), repmat (x, [1 3; 3 3]))
%!assert (repmat (x, [1 1 2]), repmat (x, [1 1; 1 3; 2 1]))
%!assert (repmat (x, [1 3; 1 3], [1; 3]), repmat (x, [1 1 3]))
%!assert (repmat (x, [1 1], 4), repmat (x, [1 3; 1 3], [1; 4]))
%!assert (repmat (x, [1 1], 4), repmat (x, [1 3; 1 3], [1 2; 3 4]))
%!assert (repmat (x, [1 1], 4), repmat (x, [1 1 4]));
%!assert (repmat (x, [1 1], 4), repmat (x, 1, [1 4]));
# Test various methods of providing size parameters
%!shared x
%! x = [1 2;3 4];
%!assert (repmat (x, [1 1]), repmat (x, 1))
%!assert (repmat (x, [3 3]), repmat (x, 3))
%!assert (repmat (x, [1 1]), repmat (x, 1, 1))
%!assert (repmat (x, [1 3]), repmat (x, 1, 3))
%!assert (repmat (x, [3 1]), repmat (x, 3, 1))
%!assert (repmat (x, [3 3]), repmat (x, 3, 3))
# Tests for numel==1 case:
%!shared x, r
%! x = [ 65 ];
%! r = kron (ones (2,2), x);
%!assert (r, repmat (x, [2 2]))
%!assert (char (r), repmat (char (x), [2 2]))
%!assert (int8 (r), repmat (int8 (x), [2 2]))
# Tests for ndims==2 case:
%!shared x, r
%! x = [ 65 66 67 ];
%! r = kron (ones (2,2), x);
%!assert (r, repmat (x, [2 2]))
%!assert (char (r), repmat (char (x), [2 2]))
%!assert (int8 (r), repmat (int8 (x), [2 2]))
# Tests for dim>2 case:
%!shared x, r
%! x = [ 65 66 67 ];
%! r = kron (ones (2,2), x);
%! r(:,:,2) = r(:,:,1);
%!assert (r, repmat (x, [2 2 2]))
%!assert (char (r), repmat (char (x), [2 2 2]))
%!assert (int8 (r), repmat (int8 (x), [2 2 2]))
# Test that sparsity is kept
%!assert (sparse (4,4), repmat (sparse (2,2),[2 2]))
%!assert (size (repmat (".", -1, 1)), [0, 1])
%!assert (size (repmat (".", 1, -1)), [1, 0])
%!assert (size (repmat (1, [1, 0])), [1, 0])
%!assert (size (repmat (1, [5, 0])), [5, 0])
%!assert (size (repmat (1, [0, 1])), [0, 1])
%!assert (size (repmat (1, [0, 5])), [0, 5])
%!shared x
%! x = struct ("a", [], "b", []);
%!assert (size (repmat (x, [1, 0])), [1, 0])
%!assert (size (repmat (x, [5, 0])), [5, 0])
%!assert (size (repmat (x, [0, 1])), [0, 1])
%!assert (size (repmat (x, [0, 5])), [0, 5])
%!assert (size (repmat ({1}, [1, 0])), [1, 0])
%!assert (size (repmat ({1}, [5, 0])), [5, 0])
%!assert (size (repmat ({1}, [0, 1])), [0, 1])
%!assert (size (repmat ({1}, [0, 5])), [0, 5])
%!error (size (repmat (".", -1, -1)))
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