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function c = GB_spec_reduce_to_scalar (cin, accum, reduce, A)
%GB_SPEC_REDUCE_TO_SCALAR a MATLAB mimic of GrB_reduce (to scalar)
%
% Usage:
% c = GB_spec_reduce_to_scalar (cin, accum, reduce, A)
%
% Reduces a matrix or vector to a scalar
%
% cin is a dense scalar
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2020, All Rights Reserved.
% http://suitesparse.com See GraphBLAS/Doc/License.txt for license.
%-------------------------------------------------------------------------------
% get inputs
%-------------------------------------------------------------------------------
if (nargout > 1 || nargin ~= 4)
error ('usage: c = GB_spec_Matrix_reduce (cin, accum, reduce, A)') ;
end
if (isstruct (cin) || issparse (cin) || ~isscalar (cin))
error ('cin must be a dense scalar') ;
end
cin_type = GB_spec_type (cin) ;
% get the type of A
if (isstruct (A))
atype = A.class ;
else
atype = GB_spec_type (A) ;
end
% get the reduce operator. default type is the type of A
[reduce_op reduce_optype zt xt yt] = GB_spec_operator (reduce, atype) ;
assert (isequal (zt, xt)) ;
assert (isequal (zt, yt)) ;
% get the identity
identity = GB_spec_identity (reduce_op, reduce_optype) ;
if (isempty (identity))
identity = 0 ;
end
% get the input matrix
A = GB_spec_matrix (A, identity) ;
% get the accumulator and its types for z = accum(x,y)
[accum_op accum_optype ztype xtype ytype ] = GB_spec_operator (accum, cin_type) ;
%-------------------------------------------------------------------------------
% do the work via a clean MATLAB interpretation of the entire GraphBLAS spec
%-------------------------------------------------------------------------------
% cast A to the type of the reduce operator, but only entries in the pattern
t = identity ;
if (nnz (A.pattern) > 0)
X = GB_mex_cast (A.matrix (A.pattern), reduce_optype) ;
for k = 1:length (X)
t = GB_spec_op (reduce, t, X (k)) ;
end
end
% apply the accumulator. no mask. t is a dense matrix so this is
% different than GB_spec_accum.
if (isempty (accum_op))
c = GB_mex_cast (t, cin_type) ;
else
% c = cin "+" t, but typecast all the arguments
t = GB_mex_cast (t, xtype) ; % cast t to accum xtype
cin = GB_mex_cast (cin, ytype) ; % cast cin to accum ytype
z = GB_spec_op (accum, cin, t) ; % z = accum (cin,t)
c = GB_mex_cast (z, cin_type) ; % cast z to type of cin
end
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