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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2013 - Scilab Enterprises - Adeline CARNIS
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function a = %r_cumsum(varargin)
// cumulative sum for rational matrices
// If we call cumsum with 3 arguments, the third is optional for rational matrices.
a = varargin(1)
dims = size(a);
nargs = size(varargin);
select nargs
case 1
d = "*";
case 2
if or(varargin(2) == ["native", "double"]) then
d = "*";
else
d = varargin(2);
end
case 3
d = varargin(2);
else
error(msprintf(_("%s: Wrong number of input argument(s): %d to %d expected.\n"),"cumsum", 1, 3));
end
// Check second argument : d
select type(d)
case 1
if size(d,'*') <> 1 then
error(msprintf(_("%s: Wrong size for input argument #%d: A scalar expected.\n"),"cumsum", 2))
end
if int(d) <> d | d < 0 then
error(msprintf(_("%s: Wrong value for input argument #%d: Integer >= %d expected.\n"),"cumsum", 2, 1))
end
case 10
if size(d,'*') <> 1 then
error(msprintf(_("%s: Wrong size for input argument #%d: A string expected.\n"),"cumsum",2))
end
if and(d<>["r","c","*","m"]) then
error(msprintf(_("%s: Wrong value for input argument #%d: Must be in the set {%s}.\n"),..
"cumsum",2,"""*"",""r"",""c"",""m"""))
end
pos = [1,2,0,find(dims>1,1)];
d=pos(find(d==["r","c","*","m"]))
else
error(msprintf(_("%s: Wrong type for input argument #%d: A string or scalar expected.\n"),"cumsum",2))
end
select d
case 0 then // case "*"
a = tril(ones(size(a,"*"), size(a, "*"))) * matrix(a, -1, 1);
if simp_mode() then
a = simp(a);
end
a = matrix(a, dims(1), dims(2));
case 1 then // case 1 or 'r'
a = [tril(ones(dims(1), dims(1))) zeros(dims(2), dims(2)); zeros(dims(1), dims(1)) tril(ones(dims(2), dims(2)))] * matrix(a, -1, 1);
if simp_mode() then
a = simp(a);
end
a = matrix(a, dims(1), dims(2));
case 2 then // case 2 or 'c"
a = [eye(dims(1), dims(1)) zeros(dims(2), dims(2)); eye(dims(1), dims(1)) eye(dims(2), dims(2))] * matrix(a, -1, 1);
if simp_mode() then
a = simp(a);
end
a = matrix(a, dims(1), dims(2));
else
a=a
end
endfunction
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