$title 'Test GDXDIFF handling of zeros when eps>0' (GDXDIFF1,SEQ=236)

$onText
Gdxdiff should ignore small differences when a
key appears in one symbol but not in the other symbol,
and a nonzero error tolerance is in effect.
Tests fix for issue AB00856

Contributor: Paul van der Eijk
$offText

set i /i1*i5/,
    j /j1*j5/;

parameter P1(i, j), P2(i, j);
variable  V1(i, j), V2(i,j);

P1(i, j) = uniform(0, 1);
P2(i, j) = P1(i, j);

P1('i2', 'j3') = 0.0;
P2('i2', 'j3') = 1e-6;

V1.L(i, j) = P1(i, j);
V2.L(i, j) = P2(i, j);

execute_unload 'p1.gdx', P1=P, V1=V;
execute_unload 'p2.gdx', P2=P, V2=V;

Scalar rc;

execute 'gdxdiff p1.gdx p2.gdx > %system.nullfile%';
rc=errorlevel;
display rc;
abort$(rc <> 1) 'GDXDIFF expected a difference';


execute 'gdxdiff p1.gdx p2.gdx eps=1e-5 > %system.nullfile%';
rc=errorlevel;
abort$(rc <> 0)'GDXDIFF no difference expected';

set k /k1*k2/;

parameter B1(i, j, k, k, k, k, k, k, k, k), B2(i, j, k, k, k, k, k, k, k, k);

B1(i, j, k, k, k, k, k, k, k, k) = uniform(0,1);
B2(i, j, k, k, k, k, k, k, k, k) = B1(i, j, k, k, k, k, k, k, k, k);

execute_unload 'p1.gdx', B1=B;
execute_unload 'p2.gdx', B2=B;
execute 'gdxdiff p1.gdx p2.gdx > %system.nullfile%';
rc=errorlevel;
abort$(rc <> 0)'GDXDIFF no difference expected';

B2('i2', 'j3', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1')= -1;
execute_unload 'p2.gdx', B2=B;
execute 'gdxdiff p1.gdx p2.gdx > %system.nullfile%';
rc=errorlevel;
abort$(rc <> 1) 'GDXDIFF expected a difference';

B1('i2', 'j3', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1')= 1E-7;
B2('i2', 'j3', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1', 'k1')= 0;
execute_unload 'p1.gdx', B1=B;
execute_unload 'p2.gdx', B2=B;
execute 'gdxdiff p1.gdx p2.gdx eps=1e-6 > %system.nullfile%';
rc=errorlevel;
abort$(rc <> 0)'GDXDIFF no difference expected';