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function [z tol] = GB_user_op (op, x, y)
%GB_USER_OP apply a complex binary and unary operator
%
% built-in equivalents of the GraphBLAS user-defined Complex operators.
%
% [z tol] = GB_user_op (op,x,y) returns tol true if GB_mex_op(op,x,y) is
% allowed to have roundoff error when compared with GB_user_op(op,x,y). tol is
% false if the result with built-in methods and GraphBLAS should match exactly.
%
% No typecasting is done for user-defined operators. x,y,z are either
% double complex or double
% SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
% SPDX-License-Identifier: Apache-2.0
tol = false ;
switch op
%---------------------------------------------------------------------------
% binary operators
%---------------------------------------------------------------------------
% x,y,z all complex:
case 'first'
z = x ;
case 'second'
z = y ;
case { 'pair', 'oneb' }
z = GB_spec_ones (size (x), GB_spec_type (x)) ;
% case 'min'
% z = min (x,y,'includenan') ;
% case 'max'
% z = max (x,y,'includenan') ;
case 'plus'
z = x+y ;
case 'minus'
z = x-y ;
case 'rminus'
z = y-x ;
case 'times'
z = x.*y ;
case 'div'
% built-in methods don't return a complex NaN (Nan+1i*Nan), but the
% GraphBLAS GB_mex_op mexFunction does. So if z has any of them,
% replace them with a complex Nan, just to make sure the tests pass...
z = x./y ;
if (any (isnan (z)))
z (isnan (z)) = complex (nan,nan) ;
end
tol = true ;
case 'rdiv'
z = y./x ;
if (any (isnan (z)))
z (isnan (z)) = complex (nan,nan) ;
end
tol = true ;
case 'pow'
z = y.^x ;
tol = true ;
% x,y,z all complex:
case 'iseq'
z = complex (double (x == y), 0) ;
case 'isne'
z = complex (double (x ~= y), 0) ;
case 'isgt'
z = complex (double (x > y), 0) ;
case 'islt'
z = complex (double (x < y), 0) ;
case 'isge'
z = complex (double (x >= y), 0) ;
case 'isle'
z = complex (double (x <= y), 0) ;
% x,y,z all complex:
case 'or'
z = complex (double ((x ~= 0) | (y ~= 0)), 0) ;
case 'and'
z = complex (double ((x ~= 0) & (y ~= 0)), 0) ;
case 'xor'
z = complex (double ((x ~= 0) ~= (y ~= 0)), 0) ;
% x,y complex, z logical:
case 'eq'
z = x == y ;
case 'ne'
z = x ~= y ;
case 'gt'
z = x > y ;
case 'lt'
z = x < y ;
case 'ge'
z = x >= y ;
case 'le'
z = x <= y ;
% x,y double, z comlex:
case 'complex'
z = complex (x,y) ;
%---------------------------------------------------------------------------
% unary operators
%---------------------------------------------------------------------------
% x,z complex
case 'one'
z = GB_spec_ones (size (x), GB_spec_type (x)) ;
case 'identity'
z = x ;
case 'ainv'
z = -x ;
case 'abs'
z = abs (x) ;
tol = true ;
case 'minv'
z = 1./x ;
if (any (isnan (z)))
z (isnan (z)) = complex (nan,nan) ;
end
tol = true ;
% case 'not'
% z = complex (double (~(x ~= 0)), 0) ;
case 'conj'
z = conj (x) ;
% x complex, z real
case 'real'
z = real (x) ;
case 'imag'
z = imag (x) ;
case { 'angle', 'carg' }
z = angle (x) ;
tol = true ;
% case 'abs'
% complex (abs (x), 0) ;
% case 'cabs'
% z = abs (x) ;
% tol = true ;
% case 'complex_real'
% z = complex (x,0) ;
% case 'complex_imag'
% z = complex (0,x) ;
otherwise
error ('unrecognized complex operator')
end
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