$title 'Checks unloading and loading a GDX file with variable attributes' (gdx9, SEQ=582)

$onText
execute_unload's variables with randomly choosen attributes into GDX file,
resets attributes in GAMS, execute_load's GDX file, and checks that the
original attribute values have been restored.
$offText

Set i / 1*10 /;
Parameter xl(i), xlo(i), xup(i), xm(i), xsc(i);
Parameter zl, zlo, zup, zm, zsc;

xlo(i) = uniform(0,1);
xup(i) = uniform(1,2);
xl(i) = uniform(xlo(i), xup(i));
xm(i) = uniform(-10,10);
xsc(i) = uniform(0,2);

zlo = -42;
zup =  42;
zl = 17;
zm = 526;
zsc = 525;

Positive Variable x(i);
Variable z;

x.lo(i) = xlo(i);
x.up(i) = xup(i);
x.l(i) = xl(i);
x.m(i) = xm(i);
x.scale(i) = xsc(i);

z.lo = zlo;
z.up = zup;
z.l = zl;
z.m = zm;
z.scale = zsc;

execute_unload 'test.gdx', x, z;

x.fx(i) = 0;
x.l(i) = 0;
x.m(i) = 0;
x.scale(i) = 1;
z.fx = 0;
z.l = 0;
z.m = 0;
z.scale = 1;

execute_load 'test.gdx', x, z;

abort$(smax(i, abs(xlo(i) - x.lo(i))) > 1e-12)    "x.lo wrong"
abort$(smax(i, abs(xup(i) - x.up(i))) > 1e-12)    "x.up wrong"
abort$(smax(i, abs(xl(i) - x.l(i))) > 1e-12)      "x.l wrong"
abort$(smax(i, abs(xm(i) - x.m(i))) > 1e-12)      "x.m wrong"
abort$(smax(i, abs(xsc(i) - x.scale(i))) > 1e-12) "x.scale wrong"

abort$(abs(z.lo - zlo) > 1e-12) "z.lo wrong"
abort$(abs(z.up - zup) > 1e-12) "z.up wrong"
abort$(abs(z.l - zl) > 1e-12)   "z.l wrong"
abort$(abs(z.m - zm) > 1e-12)   "z.m wrong"
abort$(abs(z.scale - zsc) > 1e-12) "z.scale wrong"