int main() {
VC vc = vc_createValidityChecker(NULL);
/* Prove that for integers x and y:
* x > 0 AND y > 0 => 2x + y >= 3 */
Type integer = vc_intType(vc);
Expr x = vc_varExpr(vc, "x", integer);
Expr y = vc_varExpr(vc, "y", integer);
Expr zero = vc_ratExpr(vc, 0, 1);
Expr x_positive = vc_gtExpr(vc, x, zero);
Expr y_positive = vc_gtExpr(vc, y, zero);
Expr two = vc_ratExpr(vc, 2, 1);
Expr twox = vc_multExpr(vc, two, x);
Expr twox_plus_y = vc_plusExpr(vc, twox, y);
Expr three = vc_ratExpr(vc, 3, 1);
Expr twox_plus_y_geq_3 = vc_geExpr(vc, twox_plus_y, three);
Expr formula = vc_impliesExpr(vc, vc_andExpr(vc, x_positive, y_positive),
twox_plus_y_geq_3);
char* formulaString = vc_printExprString(vc, formula);
printf("Checking validity of formula %s with CVC4.\n", formulaString);
printf("CVC4 should return 1 (meaning VALID).\n");
printf("Result from CVC4 is: %d\n", vc_query(vc, formula));
free(formulaString);
return 0;
}
TEST(Leaks, boolean)
{
VC vc;
vc = vc_createValidityChecker();
Expr x = vc_varExpr(vc, "x", vc_boolType(vc));
Expr y = vc_varExpr(vc, "y", vc_boolType(vc));
Expr x_and_y = vc_andExpr(vc, x, y);
Expr not_x_and_y = vc_notExpr(vc, x_and_y);
Expr not_x = vc_notExpr(vc, x);
Expr not_y = vc_notExpr(vc, y);
Expr not_x_or_not_y = vc_orExpr(vc, not_x, not_y);
Expr equiv = vc_iffExpr(vc, not_x_and_y, not_x_or_not_y);
printf("%d\n", vc_query(vc, equiv));
vc_DeleteExpr(equiv);
vc_DeleteExpr(not_x_or_not_y);
vc_DeleteExpr(not_y);
vc_DeleteExpr(not_x);
vc_DeleteExpr(not_x_and_y);
vc_DeleteExpr(x_and_y);
vc_DeleteExpr(y);
vc_DeleteExpr(x);
vc_Destroy(vc);
}
// FIXME: Pick a sensible testname that actually means something!
TEST(array_cvcl02,one) {
VC vc = vc_createValidityChecker();
vc_setFlag(vc,'n');
vc_setFlag(vc,'d');
vc_setFlag(vc,'p');
Expr cvcl_array = vc_varExpr1(vc, "a",32,32);
Expr i = vc_varExpr1(vc, "i", 0, 8);
Expr i32 = vc_bvConcatExpr(vc,
vc_bvConstExprFromStr(vc,
"000000000000000000000000"),
i);
Expr no_underflow = vc_bvLeExpr(vc,
vc_bvConstExprFromInt(vc, 32, 0),
i32);
Expr no_overflow = vc_bvLeExpr(vc,
i32,
vc_bvConstExprFromInt(vc, 32, 9));
Expr in_bounds = vc_andExpr(vc, no_underflow, no_overflow);
Expr a_of_i = vc_bvSignExtend(vc,
vc_readExpr(vc,cvcl_array,i32),
32);
Expr a_of_i_eq_11 = vc_eqExpr(vc,
vc_bvConcatExpr(vc,i32,a_of_i),
vc_bvConstExprFromInt(vc, 64, 11));
vc_assertFormula(vc, in_bounds);
vc_assertFormula(vc, a_of_i_eq_11);
vc_query(vc, vc_falseExpr(vc));
long long v;
Expr pre = vc_bvConstExprFromInt(vc,24,0);
int j;
for(j=0;j<10;j++) {
Expr exprj = vc_bvConstExprFromInt(vc,8,j);
Expr index = vc_bvConcatExpr(vc, pre, exprj);
index = vc_simplify(vc,index);
Expr a_of_j = vc_readExpr(vc, cvcl_array, index);
Expr ce = vc_getCounterExample(vc,a_of_j);
}
vc_Destroy(vc);
//vc_printCounterExample(vc);
// FIXME: Actually test something
//ASSERT_TRUE(false && "FIXME: Actually test something");
}
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 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 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_andExpr(value vc, value e1, value e2)
{
CAMLparam3(vc,e1,e2);
CAMLreturn(alloc_Expr(vc_andExpr(VC_val(vc),Expr_val(e1),Expr_val(e2))));
}