void test2()
{
VC vc = vc_createValidityChecker(NULL);
// Check x = y -> g(x,y) = g(y,x)
Type r = vc_realType(vc);
Expr x = vc_varExpr(vc, "x", r);
Expr y = vc_varExpr(vc, "y", r);
Type realxreal2real = vc_funType2(vc, r, r, r);
Op g = vc_createOp(vc, "g", realxreal2real);
Expr gxy = vc_funExpr2(vc, g, x, y);
Expr gyx = vc_funExpr2(vc, g, y, x);
Expr xeqy = vc_eqExpr(vc, x, y);
Expr gxyeqgyx = vc_eqExpr(vc, gxy, gyx);
Expr e = vc_impliesExpr(vc, xeqy, gxyeqgyx);
Type v[2];
Op h;
Expr hxy, hyx, hxyeqhyx;
int res;
res = check(vc, e);
FatalAssert(res == 1, "Expected Valid");
vc_deleteType(realxreal2real);
vc_deleteOp(g);
vc_deleteExpr(gxy);
vc_deleteExpr(gyx);
vc_deleteExpr(gxyeqgyx);
vc_deleteExpr(e);
v[0] = r;
v[1] = r;
realxreal2real = vc_funTypeN(vc, v, r, 2);
h = vc_createOp(vc, "h", realxreal2real);
hxy = vc_funExpr2(vc, h, x, y);
hyx = vc_funExpr2(vc, h, y, x);
hxyeqhyx = vc_eqExpr(vc, hxy, hyx);
e = vc_impliesExpr(vc, xeqy, hxyeqhyx);
res = check(vc, e);
FatalAssert(res == 1, "Expected Valid");
vc_deleteType(r);
vc_deleteExpr(x);
vc_deleteExpr(y);
vc_deleteType(realxreal2real);
vc_deleteExpr(hxy);
vc_deleteExpr(hxyeqhyx);
vc_deleteExpr(e);
vc_destroyValidityChecker(vc);
}
value caml_vc_funType2(value vc, value a1, value a2, value tr)
{
CAMLparam4(vc,a1,a2,tr);
CAMLreturn(alloc_Type(vc_funType2(VC_val(vc),Type_val(a1),
Type_val(a2),Type_val(tr))));
}
