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function C = le (A, B)
%A <= B less than or equal to.
% C = (A <= B) compares A and B element-by-element. One or
% both may be scalars. Otherwise, A and B must have the same size.
%
% See also GrB/lt, GrB/gt, GrB/ge, GrB/ne, GrB/eq.
% The pattern of C depends on the type of inputs:
% A scalar, B scalar: C is scalar.
% A scalar, B matrix: C is full if A<=0, otherwise C is a subset of B.
% B scalar, A matrix: C is full if B>=0, otherwise C is a subset of A.
% A matrix, B matrix: C is full.
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
if (isobject (A))
A = A.opaque ;
end
if (isobject (B))
B = B.opaque ;
end
[am, an, atype] = gbsize (A) ;
[bm, bn, btype] = gbsize (B) ;
a_is_scalar = (am == 1) && (an == 1) ;
b_is_scalar = (bm == 1) && (bn == 1) ;
ctype = gboptype (atype, btype) ;
if (a_is_scalar)
if (b_is_scalar)
% both A and B are scalars. C is full.
C = GrB (gbemult (gbfull (A, ctype), '<=', gbfull (B, ctype))) ;
else
% A is a scalar, B is a matrix
if (gb_scalar (A) <= 0)
% since a <= 0, entries not present in B result in a true
% value, so the result is full. Expand A to a full matrix.
A = gb_scalar_to_full (bm, bn, ctype, gb_fmt (B), A) ;
B = gbfull (B, ctype) ;
C = GrB (gbemult (A, '<=', B)) ;
else
% since a > 0, entries not present in B result in a false
% value, so the result is a sparse subset of B. select all
% entries in B >= a, then convert to true.
C = GrB (gbapply ('1.logical', gbselect (B, '>=', A))) ;
end
end
else
if (b_is_scalar)
% A is a matrix, B is a scalar
if (gb_scalar (B) >= 0)
% since b >= 0, entries not present in A result in a true
% value, so the result is full. Expand B to a full matrix.
B = gb_scalar_to_full (am, an, ctype, gb_fmt (A), B) ;
A = gbfull (A, ctype) ;
C = GrB (gbemult (A, '<=', B)) ;
else
% since b < 0, entries not present in A result in a false
% value, so the result is a sparse subset of A. select all
% entries in A <= b, then convert to true.
C = GrB (gbapply ('1.logical', gbselect (A, '<=', B))) ;
end
else
% both A and B are matrices. C is full.
C = GrB (gbemult (gbfull (A, ctype), '<=', gbfull (B, ctype))) ;
end
end
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