void test6()
{
Flags flags = vc_createFlags();
VC vc;
Expr p, p3, p32;
char *x;
// vc_setBoolFlag(flags, "proofs", 1);
vc_setBoolFlag(flags, "dagify-exprs", 0);
vc = vc_createValidityChecker(flags);
// p = vc_getProofOfFile(vc,"benchmarks/add1.cvc");
check_error("Failed to check file");
// vc_deleteExpr(p);
vc_destroyValidityChecker(vc);
vc_deleteFlags(flags);
/* p3 = getChild(p,3); */
/* p32 = getChild(p3,2); */
/* if (isLambda(p32)) */
/* printf("The expression is Lambda\n"); */
/* else */
/* printf("The expression is not Lambda\n"); */
/* x = exprString(p32); */
/* printf("Test expr,%s",x);*/
}
void test5()
{
Flags flags = vc_createFlags();
VC vc;
Type r;
Expr x, xEQx, p;
// vc_setBoolFlag(flags, "proofs", TRUE);
vc = vc_createValidityChecker(flags);
r = vc_realType(vc);
x = vc_varExpr(vc, "x", r);
xEQx = vc_eqExpr(vc, x, x);
vc_query(vc, xEQx);
// p = vc_getProof(vc);
// vc_printExpr(vc, p);
vc_deleteType(r);
vc_deleteExpr(x);
vc_deleteExpr(xEQx);
// vc_deleteExpr(p);
vc_destroyValidityChecker(vc);
vc_deleteFlags(flags);
}
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);
}
void test11()
{
Flags flags = vc_createFlags();
VC vc = vc_createValidityChecker(flags);
Type a = vc_createType(vc, "a");
Type aa = vc_funType1(vc, a, a);
Op f = vc_createOp(vc, "f", aa);
Expr x = vc_varExpr(vc, "x", a);
Expr fx = vc_funExpr1(vc, f, x);
Expr ffx = vc_funExpr1(vc, f, fx);
Expr e = vc_eqExpr(vc, x, fx);
Expr expectE = vc_eqExpr(vc, fx, ffx);
Expr newE = vc_substExpr(vc, e, &x, 1, &fx, 1);
FatalAssert(expectE == newE, "Expected equal");
vc_destroyValidityChecker(vc);
}
void test10()
{
Flags flags = vc_createFlags();
VC vc = vc_createValidityChecker(flags);
Type a = vc_createType(vc, "a");
Type aa = vc_funType1(vc, a, a);
Op f1 = vc_createOp(vc, "f", aa);
Type aa2;
Op f2 = vc_lookupOp(vc, "f", &aa2);
FatalAssert(f2 != NULL, "Expected f2 not NULL");
FatalAssert(f1 == f2, "Expected equal");
Expr x = vc_varExpr(vc, "x", a);
Expr f1x = vc_funExpr1(vc, f1, x);
Expr f2x = vc_funExpr1(vc, f2, x);
Expr eq = vc_eqExpr(vc, f1x, f2x);
int res = vc_query(vc, eq);
printf("eq: %d\n", res);
vc_destroyValidityChecker(vc);
}
void test9 (void)
{
VC vc = vc_createValidityChecker (((void *) 0));
Type bv32 = vc_bvType (vc, 32);
Expr zero = vc_bvConstExprFromInt (vc, 32, 0);
Expr one = vc_bvConstExprFromInt (vc, 32, 1);
Expr a = vc_varExpr (vc, "a", bv32);
Expr three = vc_bvConstExprFromInt (vc, 32, 3);
Expr three64 = vc_bvSignExtend (vc, three, 64);
Expr a64 = vc_bvSignExtend (vc, a, 64);
Expr prod64 = vc_bvMultExpr (vc, 64, a64, three64);
Expr min = vc_bvConstExprFromInt (vc, 32, (-2147483647 - 1));
Expr max = vc_bvConstExprFromInt (vc, 32, 2147483647);
Expr prod64_sge_min = vc_bvSGeExpr (vc, prod64, min);
Expr prod64_sle_max = vc_bvSLeExpr (vc, prod64, max);
Expr prod64_sge_min_and_sle_max =
vc_andExpr (vc, prod64_sge_min, prod64_sle_max);
vc_assertFormula (vc, prod64_sge_min_and_sle_max);
Expr D3 = vc_varExpr (vc, "D3", bv32);
Expr prod = vc_bvMultExpr (vc, 32, a, three);
Expr D3_eq_prod = vc_eqExpr (vc, D3, prod);
vc_assertFormula (vc, D3_eq_prod);
Expr D4 = vc_varExpr (vc, "D4", bv32);
Expr D3_sle_a_cond = vc_bvSLeExpr (vc, D3, a);
Expr D3_sle_a_expr = vc_iteExpr (vc, D3_sle_a_cond, one, zero);
Expr D4_eq_D3_sle_a_expr = vc_eqExpr (vc, D4, D3_sle_a_expr);
vc_assertFormula (vc, D4_eq_D3_sle_a_expr);
Expr D6 = vc_varExpr (vc, "D6", bv32);
Expr D3_slt_a_cond = vc_bvSLtExpr (vc, D3, a);
Expr D3_slt_a_expr = vc_iteExpr (vc, D3_slt_a_cond, one, zero);
Expr D6_eq_D3_slt_a_expr = vc_eqExpr (vc, D6, D3_slt_a_expr);
vc_assertFormula (vc, D6_eq_D3_slt_a_expr);
Expr zero_lt_a = vc_bvSLtExpr (vc, zero, a);
vc_assertFormula (vc, zero_lt_a);
Expr D4_eq_one = vc_eqExpr (vc, D4, one);
Expr not_D4_eq_one = vc_notExpr (vc, D4_eq_one);
vc_query (vc, not_D4_eq_one);
Expr D6_eq_one = vc_eqExpr (vc, D6, one);
Expr not_D6_eq_one = vc_notExpr (vc, D6_eq_one);
vc_query (vc, not_D6_eq_one);
vc_destroyValidityChecker(vc);
}
void test1()
{
Flags flags = vc_createFlags();
VC vc;
Type b;
Expr p, np, e;
Type r, real2real;
Expr x, y, fx, fy, xeqy, fxeqfy, w, z, weqx, yeqz, one, two, xeqone, xeqtwo,
simp, simp2;
Op f;
Expr* assertions;
int i, size, res;
Kind k;
vc_setStringFlag(flags, "dump-log", ".testc1.cvc");
vc_setStrSeqFlag(flags, "trace", "pushpop", 1);
vc = vc_createValidityChecker(flags);
// Check p OR ~p
b = vc_boolType(vc);
p = vc_varExpr(vc, "p", vc_boolType(vc));
np = vc_notExpr(vc, p);
e = vc_orExpr(vc, p, np);
res = check(vc, e);
FatalAssert(res == 1, "Expected Valid");
FatalAssert(vc_getKind(e) == OR, "Expected TRUE for kind check");
FatalAssert(vc_getKind(vc_getType(vc, e)) == BOOLEAN, "Expected TRUE for type kind check");
vc_deleteType(b);
vc_deleteExpr(p);
vc_deleteExpr(np);
vc_deleteExpr(e);
/* Check x = y -> f(x) = f(y) */
r = vc_realType(vc);
x = vc_varExpr(vc, "x", r);
y = vc_varExpr(vc, "y", r);
real2real = vc_funType1(vc, r, r);
f = vc_createOp(vc, "f", real2real);
fx = vc_funExpr1(vc, f, x);
fy = vc_funExpr1(vc, f, y);
xeqy = vc_eqExpr(vc, x, y);
fxeqfy = vc_eqExpr(vc, fx, fy);
e = vc_impliesExpr(vc, xeqy, fxeqfy);
res = check(vc, e);
FatalAssert(res == 1, "Expected Valid");
vc_deleteType(real2real);
vc_deleteExpr(e);
// Check f(x) = f(y) -> x = y
e = vc_impliesExpr(vc, fxeqfy, xeqy);
vc_push(vc);
res = check(vc, e);
FatalAssert(res == 0, "Expected Invalid");
vc_deleteExpr(e);
// Get counter-example
printf("Stack level: %d\n", vc_stackLevel(vc));
printf("Counter-example:\n");
assertions = vc_getCounterExample(vc, &size);
for (i = 0; i < size; ++i) {
vc_printExpr(vc, assertions[i]);
}
vc_deleteVector(assertions);
printf("End of counter-example\n\n");
printf("Concrete model:\n");
assertions = vc_getConcreteModel(vc, &size);
for (i = 0; i < size; ++i) {
vc_printExpr(vc, assertions[i]);
}
vc_deleteVector(assertions);
printf("End of concrete model\n\n");
// Reset to initial scope
printf("Resetting\n");
vc_pop(vc);
printf("Stack level: %d\n\n", vc_stackLevel(vc));
// Check w = x & x = y & y = z & f(x) = f(y) & x = 1 & z = 2
w = vc_varExpr(vc, "w", r);
z = vc_varExpr(vc, "z", r);
printf("Push Scope\n\n");
vc_push(vc);
weqx = vc_eqExpr(vc, w, x);
yeqz = vc_eqExpr(vc, y, z);
one = vc_ratExpr(vc, 1, 1);
two = vc_ratExpr(vc, 2, 1);
xeqone = vc_eqExpr(vc, x, one);
xeqtwo = vc_eqExpr(vc, x, two);
newAssertion(vc, weqx);
newAssertion(vc, xeqy);
newAssertion(vc, yeqz);
newAssertion(vc, fxeqfy);
newAssertion(vc, xeqone);
newAssertion(vc, xeqtwo);
printf("\nsimplify(w) = ");
simp = vc_simplify(vc, w);
char* str = vc_printExprString(vc, simp);
printf("%s\n", str);
vc_deleteString(str);
printf("Inconsistent?: %d\n", vc_inconsistent(vc, &assertions, &size));
check_error("Error occured during inconsistency check");
printf("Assumptions Used:\n");
for (i = 0; i < size; ++i) {
vc_printExpr(vc, assertions[i]);
}
vc_deleteVector(assertions);
printf("\nPop Scope\n\n");
vc_pop(vc);
printf("simplify(w) = ");
simp2 = vc_simplify(vc, w);
vc_printExpr(vc, simp2);
printf("\n");
printf("Inconsistent?: %d\n", vc_inconsistent(vc, &assertions, &size));
vc_deleteVector(assertions);
vc_deleteType(r);
vc_deleteExpr(x);
vc_deleteExpr(y);
vc_deleteOp(f);
vc_deleteExpr(fx);
vc_deleteExpr(fy);
vc_deleteExpr(xeqy);
vc_deleteExpr(fxeqfy);
vc_deleteExpr(w);
vc_deleteExpr(z);
vc_deleteExpr(weqx);
vc_deleteExpr(yeqz);
vc_deleteExpr(one);
vc_deleteExpr(two);
vc_deleteExpr(xeqone);
vc_deleteExpr(xeqtwo);
vc_deleteExpr(simp);
vc_deleteExpr(simp2);
vc_destroyValidityChecker(vc);
vc_deleteFlags(flags);
}
void test8 (void)
{
Flags flags = vc_createFlags();
/* vc_setStrSeqFlag(flags, "trace", "pushpop", 1); */
/* vc_setStrSeqFlag(flags, "trace", "assertLit", 1); */
/* vc_setStrSeqFlag(flags, "trace", "assertFactCore", 1); */
/* vc_setStrSeqFlag(flags, "trace", "assertFormula", 1); */
VC vc = vc_createValidityChecker (flags);
Type bv32 = vc_bvType (vc, 32);
Expr zero = vc_bvConstExprFromInt (vc, 32, 0);
Expr one = vc_bvConstExprFromInt (vc, 32, 1);
Expr a = vc_varExpr (vc, "a", bv32);
Expr three = vc_bvConstExprFromInt (vc, 32, 3);
Expr prod = vc_bvMultExpr (vc, 32, a, three);
{
Expr a64 = vc_bvSignExtend (vc, a, 64);
Expr three64 = vc_bvSignExtend (vc, three, 64);
Expr prod64 = vc_bvMultExpr (vc, 64, a64, three64);
Expr max = vc_bvConstExprFromInt (vc, 32, 2147483647);
Expr min = vc_bvConstExprFromInt (vc, 32, (-2147483647 - 1));
Expr prod64_sge_min = vc_bvSGeExpr (vc, prod64, min);
Expr prod64_sle_max = vc_bvSLeExpr (vc, prod64, max);
Expr prod64_sge_min_and_sle_max =
vc_andExpr (vc, prod64_sge_min, prod64_sle_max);
vc_assertFormula (vc, prod64_sge_min_and_sle_max);
}
Expr D4 = vc_varExpr (vc, "D4", bv32);
{
Expr cond = vc_bvSLtExpr (vc, a, prod);
Expr test = vc_iteExpr (vc, cond, one, zero);
Expr D4_eq_test = vc_eqExpr (vc, D4, test);
vc_assertFormula (vc, D4_eq_test);
}
Expr D6 = vc_varExpr (vc, "D6", bv32);
{
Expr cond = vc_bvSLeExpr (vc, a, prod);
Expr test = vc_iteExpr (vc, cond, one, zero);
Expr D6_eq_test = vc_eqExpr (vc, D6, test);
vc_assertFormula (vc, D6_eq_test);
}
vc_push (vc);
vc_pop (vc);
vc_push (vc);
{
Expr cond = vc_bvSLtExpr (vc, a, zero);
Expr test = vc_iteExpr (vc, cond, one, zero);
Expr test_eq_one = vc_eqExpr (vc, test, one);
vc_assertFormula (vc, test_eq_one);
vc_push (vc);
{
Expr D4_eq_one = vc_eqExpr (vc, D4, one);
vc_query (vc, D4_eq_one);
}
vc_pop (vc);
vc_push (vc);
vc_pop (vc);
vc_push (vc);
vc_pop (vc);
}
vc_pop (vc);
{
Expr cond = vc_eqExpr (vc, a, zero);
Expr test = vc_iteExpr (vc, cond, one, zero);
Expr test_eq_one = vc_eqExpr (vc, test, one);
vc_assertFormula (vc, test_eq_one);
vc_push (vc);
vc_pop (vc);
{
Expr zero_eq_one = vc_eqExpr (vc, zero, one);
vc_query (vc, zero_eq_one);
}
}
vc_destroyValidityChecker(vc);
}
void test7()
{
VC vc = vc_createValidityChecker(NULL);
Type r = vc_realType(vc);
Type b = vc_boolType(vc);
Expr x = vc_varExpr(vc, "x", r);
Expr y = vc_varExpr(vc, "y", r);
Expr z = vc_varExpr(vc, "z", r);
Type real2real = vc_funType1(vc, r, r);
Type real2bool = vc_funType1(vc, r, b);
Op f = vc_createOp(vc, "f", real2real);
Op p = vc_createOp(vc, "p", real2bool);
Expr fx = vc_funExpr1(vc, f, x);
Expr fy = vc_funExpr1(vc, f, y);
Expr fxeqfy = vc_eqExpr(vc, fx, fy);
Expr px = vc_funExpr1(vc, p, x);
Expr py = vc_funExpr1(vc, p, y);
Expr xeqy = vc_eqExpr(vc, x, y);
Expr yeqx = vc_eqExpr(vc, y, x);
Expr xeqz = vc_eqExpr(vc, x, z);
Expr zeqx = vc_eqExpr(vc, z, x);
Expr yeqz = vc_eqExpr(vc, y, z);
Expr zeqy = vc_eqExpr(vc, z, y);
Expr notxeqz = vc_notExpr(vc, xeqz);
int c;
vc_registerAtom(vc, xeqy);
vc_registerAtom(vc, yeqx);
vc_registerAtom(vc, xeqz);
vc_registerAtom(vc, zeqx);
vc_registerAtom(vc, yeqz);
vc_registerAtom(vc, zeqy);
vc_registerAtom(vc, px);
vc_registerAtom(vc, py);
vc_registerAtom(vc, fxeqfy);
printf("Push\n");
vc_push(vc);
printf("Assert x = y\n");
vc_assertFormula(vc, xeqy);
c = printImpliedLiterals(vc);
FatalAssert(c==3,"Implied literal error 0");
printf("Push\n");
vc_push(vc);
printf("Assert x /= z\n");
vc_assertFormula(vc, notxeqz);
c = printImpliedLiterals(vc);
FatalAssert(c==4,"Implied literal error 1");
printf("Pop\n");
vc_pop(vc);
printf("Pop\n");
vc_pop(vc);
vc_deleteExpr(notxeqz);
vc_deleteExpr(zeqy);
vc_deleteExpr(yeqz);
vc_deleteExpr(zeqx);
vc_deleteExpr(xeqz);
vc_deleteExpr(yeqx);
vc_deleteExpr(xeqy);
vc_deleteExpr(py);
vc_deleteExpr(px);
vc_deleteExpr(fxeqfy);
vc_deleteExpr(fy);
vc_deleteExpr(fx);
vc_deleteOp(p);
vc_deleteOp(f);
vc_deleteType(real2bool);
vc_deleteType(real2real);
vc_deleteExpr(z);
vc_deleteExpr(y);
vc_deleteExpr(x);
vc_deleteType(b);
vc_deleteType(r);
vc_destroyValidityChecker(vc);
}
void test4(int regressLevel)
{
VC vc = vc_createValidityChecker(NULL);
// Check x >= 10 /\ x >= 40 /\ y <= 0 -->
// x >= 1 /\ y < 10
Type r = vc_realType(vc);
Expr x = vc_varExpr(vc, "x", r);
Expr y = vc_varExpr(vc, "y", r);
Expr ten = vc_ratExpr(vc, 10, 1);
Expr ge = vc_geExpr(vc, x, ten);
Expr forty = vc_ratExpr(vc, 40, 1);
Expr ge2 = vc_geExpr(vc, x, forty);
Expr zero = vc_ratExpr(vc, 0, 1);
Expr ge3 = vc_leExpr(vc, y, zero);
Expr children[3];
Expr hyp, one, conc, query;
int i;
children[0] = ge;
children[1] = ge2;
children[2] = ge3;
hyp = vc_andExprN(vc, children, 3);
vc_deleteType(r);
vc_deleteExpr(ge);
vc_deleteExpr(forty);
vc_deleteExpr(ge2);
vc_deleteExpr(zero);
vc_deleteExpr(ge3);
one = vc_ratExpr(vc, 1, 1);
ge = vc_geExpr(vc, x, one);
ge2 = vc_ltExpr(vc, y, ten);
conc = vc_andExpr(vc, ge, ge2);
query = vc_impliesExpr(vc, hyp, conc);
vc_deleteExpr(x);
vc_deleteExpr(y);
vc_deleteExpr(ten);
vc_deleteExpr(hyp);
vc_deleteExpr(one);
vc_deleteExpr(ge);
vc_deleteExpr(ge2);
vc_deleteExpr(conc);
for (i = 0; i < 100*regressLevel; i++)
vc_query(vc, query);
vc_deleteExpr(query);
vc_destroyValidityChecker(vc);
}
value caml_vc_destroyValidityChecker(value vc)
{
CAMLparam1(vc);
vc_destroyValidityChecker(VC_val(vc));
CAMLreturn(Val_unit);
}