|
public MkBVConst ( |
||
| name | ||
| size | uint | |
| return | ||
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr y = ctx.MkBVConst("y", 32);
BitVecExpr two = ctx.MkBV(2, 32);
BitVecExpr three = ctx.MkBV(3, 32);
BitVecExpr tf = ctx.MkBV(24, 32);
Solver s = ctx.MkSolver();
s.Assert(ctx.MkEq(ctx.MkBVLSHR(x, two), three));
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
s = ctx.MkSolver();
s.Assert(ctx.MkEq(ctx.MkBVSHL(x, two), three));
Console.WriteLine(s.Check());
s = ctx.MkSolver();
s.Assert(ctx.MkEq(ctx.MkBVRotateLeft(x, two), three));
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
s = ctx.MkSolver();
s.Assert(ctx.MkEq(ctx.MkBVSHL(x, two), tf));
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 16);
BitVecExpr y = ctx.MkBVConst("y", 16);
Params p = ctx.MkParams();
p.Add(":mul2concat", true);
Tactic t = ctx.Then(ctx.UsingParams(ctx.MkTactic("simplify"), p),
ctx.MkTactic("solve-eqs"),
ctx.MkTactic("bit-blast"),
ctx.MkTactic("aig"),
ctx.MkTactic("sat"));
Solver s = ctx.MkSolver(t);
s.Assert(ctx.MkEq(ctx.MkBVAdd(ctx.MkBVMul(x, ctx.MkBV(32, 16)), y), ctx.MkBV(13, 16)));
s.Assert(ctx.MkBVSLT(ctx.MkBVAND(x, y), ctx.MkBV(10, 16)));
s.Assert(ctx.MkBVSGT(y, ctx.MkBV(-100, 16)));
Console.WriteLine(s.Check());
Model m = s.Model;
Console.WriteLine(m);
Console.WriteLine(ctx.MkBVAdd(ctx.MkBVMul(x, ctx.MkBV(32, 16)), y) + " == " + m.Evaluate(ctx.MkBVAdd(ctx.MkBVMul(x, ctx.MkBV(32, 16)), y)));
Console.WriteLine(ctx.MkBVAND(x, y) + " == " + m.Evaluate(ctx.MkBVAND(x, y)) );
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr[] powers = new BitVecExpr[32];
for (uint i = 0; i < 32; i++)
powers[i] = ctx.MkBVSHL(ctx.MkBV(1, 32), ctx.MkBV(i, 32));
BoolExpr step_zero = ctx.MkEq(ctx.MkBVAND(x, ctx.MkBVSub(x, ctx.MkBV(1, 32))), ctx.MkBV(0, 32));
BoolExpr fast = ctx.MkAnd(ctx.MkNot(ctx.MkEq(x, ctx.MkBV(0, 32))),
step_zero);
BoolExpr slow = ctx.MkFalse();
foreach (BitVecExpr p in powers)
slow = ctx.MkOr(slow, ctx.MkEq(x, p));
TestDriver.CheckString(fast, "(and (not (= x #x00000000)) (= (bvand x (bvsub x #x00000001)) #x00000000))");
Solver s = ctx.MkSolver();
s.Assert(ctx.MkNot(ctx.MkEq(fast, slow)));
TestDriver.CheckUNSAT(s.Check());
s = ctx.MkSolver();
s.Assert(ctx.MkNot(step_zero));
TestDriver.CheckSAT(s.Check());
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr y = ctx.MkBVConst("y", 32);
BoolExpr q = ctx.MkAnd(ctx.MkEq(ctx.MkBVAdd(x, y), ctx.MkBV(2, 32)),
ctx.MkBVSGT(x, ctx.MkBV(0, 32)),
ctx.MkBVSGT(y, ctx.MkBV(0, 32)));
Console.WriteLine(q);
Solver s = ctx.MkSolver();
s.Assert(q);
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
q = ctx.MkEq(ctx.MkBVAND(x, y), ctx.MkBVNeg(y));
Console.WriteLine(q);
s = ctx.MkSolver();
s.Assert(q);
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
q = ctx.MkBVSLT(x, ctx.MkBV(0, 32));
Console.WriteLine(q);
s = ctx.MkSolver();
s.Assert(q);
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
q = ctx.MkBVULT(x, ctx.MkBV(0, 32));
Console.WriteLine(q);
s = ctx.MkSolver();
s.Assert(q);
Console.WriteLine(s.Check());
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 16);
BitVecExpr y = ctx.MkBVConst("y", 16);
Tactic t = ctx.Then(ctx.MkTactic("simplify"), ctx.MkTactic("solve-eqs"), ctx.MkTactic("bit-blast"), ctx.MkTactic("sat"));
Solver s = ctx.MkSolver(t);
s.Assert(ctx.MkEq(ctx.MkBVOR(x, y), ctx.MkBV(13, 16)));
s.Assert(ctx.MkBVSGT(x, y));
Console.WriteLine(s.Check());
Console.WriteLine(s.Model);
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr y = ctx.MkBVConst("y", 32);
BitVecExpr zero = ctx.MkBV(0, 32);
BoolExpr trick = ctx.MkBVSLT(ctx.MkBVXOR(x, y), zero);
BoolExpr opposite = ctx.MkOr(ctx.MkAnd(ctx.MkBVSLT(x, zero), ctx.MkBVSGE(y, zero)),
ctx.MkAnd(ctx.MkBVSGE(x, zero), ctx.MkBVSLT(y, zero)));
Solver s = ctx.MkSolver();
s.Assert(ctx.MkNot(ctx.MkEq(trick, opposite)));
Console.WriteLine(s.Check());
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
using (Context ctx = new Context(cfg))
{
BitVecExpr x = ctx.MkBVConst("x", 16);
BitVecExpr y = ctx.MkBVConst("y", 16);
Console.WriteLine(ctx.MkBVAdd(x, ctx.MkBV(2, 16)));
Console.WriteLine(ctx.MkBVSub(ctx.MkBVAdd(x, y), ctx.MkBV(1, 16)).Simplify());
BitVecExpr a = ctx.MkBV(-1, 16);
BitVecExpr b = ctx.MkBV(65535, 16);
Console.WriteLine(ctx.MkEq(a, b).Simplify());
a = ctx.MkBV(-1, 32);
b = ctx.MkBV(65535, 32);
Console.WriteLine(ctx.MkEq(a, b).Simplify());
}
}
public void Run()
{
Dictionary<string, string> cfg = new Dictionary<string, string>() {
{ "AUTO_CONFIG", "true" } };
Context ctx = new Context(cfg);
BitVecExpr b = ctx.MkBVConst("b", 16);
Console.WriteLine(ctx.MkExtract(12, 2, b));
Console.WriteLine(ctx.MkSignExt(10, b));
Console.WriteLine(ctx.MkZeroExt(10, b));
Console.WriteLine(ctx.MkRepeat(3, b));
}
/// <summary>
/// Reduced-size model generation example.
/// </summary>
public static void FindSmallModelExample(Context ctx)
{
Console.WriteLine("FindSmallModelExample");
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr y = ctx.MkBVConst("y", 32);
BitVecExpr z = ctx.MkBVConst("z", 32);
Solver solver = ctx.MkSolver();
solver.Assert(ctx.MkBVULE(x, ctx.MkBVAdd(y, z)));
CheckSmall(ctx, solver, new BitVecExpr[] { x, y, z });
}
/// <summary>
/// Find x and y such that: x ^ y - 103 == x * y
/// </summary>
public static void BitvectorExample2(Context ctx)
{
Console.WriteLine("BitvectorExample2");
/* construct x ^ y - 103 == x * y */
Sort bv_type = ctx.MkBitVecSort(32);
BitVecExpr x = ctx.MkBVConst("x", 32);
BitVecExpr y = ctx.MkBVConst("y", 32);
BitVecExpr x_xor_y = ctx.MkBVXOR(x, y);
BitVecExpr c103 = (BitVecNum)ctx.MkNumeral("103", bv_type);
BitVecExpr lhs = ctx.MkBVSub(x_xor_y, c103);
BitVecExpr rhs = ctx.MkBVMul(x, y);
BoolExpr ctr = ctx.MkEq(lhs, rhs);
Console.WriteLine("find values of x and y, such that x ^ y - 103 == x * y");
/* find a model (i.e., values for x an y that satisfy the constraint */
Model m = Check(ctx, ctr, Status.SATISFIABLE);
Console.WriteLine(m);
}