Пример #1
0
exprt dereferencet::dereference_plus(
  const exprt &expr,
  const exprt &offset,
  const typet &type)
{
  if(expr.operands().size()>2)
    return dereference_rec(make_binary(expr), offset, type);

  // binary
  exprt pointer=expr.op0(), integer=expr.op1();

  if(ns.follow(integer.type()).id()==ID_pointer)
    std::swap(pointer, integer);

  // multiply integer by object size
  exprt size=size_of_expr(pointer.type().subtype(), ns);
  if(size.is_nil())
    throw "dereference failed to get object size for pointer arithmetic";

  // make types of offset and size match
  if(size.type()!=integer.type())
    integer.make_typecast(size.type());

  exprt new_offset=plus_exprt(offset, mult_exprt(size, integer));

  return dereference_rec(pointer, new_offset, type);
}
Пример #2
0
static void build_object_descriptor_rec(
  const namespacet &ns,
  const exprt &expr,
  object_descriptor_exprt &dest)
{
  const signedbv_typet index_type(config.ansi_c.pointer_width);

  if(expr.id()==ID_index)
  {
    const index_exprt &index=to_index_expr(expr);

    build_object_descriptor_rec(ns, index.array(), dest);

    exprt sub_size=size_of_expr(expr.type(), ns);
    assert(sub_size.is_not_nil());

    dest.offset()=
      plus_exprt(dest.offset(),
                 mult_exprt(typecast_exprt(index.index(), index_type),
                            typecast_exprt(sub_size, index_type)));
  }
  else if(expr.id()==ID_member)
  {
    const member_exprt &member=to_member_expr(expr);
    const exprt &struct_op=member.struct_op();

    build_object_descriptor_rec(ns, struct_op, dest);

    exprt offset=member_offset_expr(member, ns);
    assert(offset.is_not_nil());

    dest.offset()=
      plus_exprt(dest.offset(),
                 typecast_exprt(offset, index_type));
  }
  else if(expr.id()==ID_byte_extract_little_endian ||
          expr.id()==ID_byte_extract_big_endian)
  {
    const byte_extract_exprt &be=to_byte_extract_expr(expr);

    dest.object()=be.op();

    build_object_descriptor_rec(ns, be.op(), dest);

    dest.offset()=
      plus_exprt(dest.offset(),
                 typecast_exprt(to_byte_extract_expr(expr).offset(),
                                index_type));
  }
  else if(expr.id()==ID_typecast)
  {
    const typecast_exprt &tc=to_typecast_expr(expr);

    dest.object()=tc.op();

    build_object_descriptor_rec(ns, tc.op(), dest);
  }
}
Пример #3
0
void polynomial_acceleratort::assert_for_values(scratch_programt &program,
                                                std::map<exprt, int> &values,
                                                std::set<std::pair<expr_listt, exprt> >
                                                   &coefficients,
                                                int num_unwindings,
                                                goto_programt::instructionst
                                                   &loop_body,
                                                exprt &target,
                                                overflow_instrumentert &overflow) {
  // First figure out what the appropriate type for this expression is.
  typet expr_type = nil_typet();

  for (std::map<exprt, int>::iterator it = values.begin();
      it != values.end();
      ++it) {
    typet this_type=it->first.type();
    if (this_type.id() == ID_pointer) {
#ifdef DEBUG
      std::cout << "Overriding pointer type" << std::endl;
#endif
      this_type = unsignedbv_typet(config.ansi_c.pointer_width);
    }

    if (expr_type == nil_typet()) {
      expr_type = this_type;
    } else {
      expr_type = join_types(expr_type, this_type);
    }
  }

  assert(to_bitvector_type(expr_type).get_width()>0);


  // Now set the initial values of the all the variables...
  for (std::map<exprt, int>::iterator it = values.begin();
       it != values.end();
       ++it) {
    program.assign(it->first, from_integer(it->second, expr_type));
  }

  // Now unwind the loop as many times as we need to.
  for (int i = 0; i < num_unwindings; i++) {
    program.append(loop_body);
  }

  // Now build the polynomial for this point and assert it fits.
  exprt rhs = nil_exprt();

  for (std::set<std::pair<expr_listt, exprt> >::iterator it = coefficients.begin();
       it != coefficients.end();
       ++it) {
    int concrete_value = 1;

    for (expr_listt::const_iterator e_it = it->first.begin();
         e_it != it->first.end();
         ++e_it) {
      exprt e = *e_it;

      if (e == loop_counter) {
        concrete_value *= num_unwindings;
      } else {
        std::map<exprt, int>::iterator v_it = values.find(e);

        if (v_it != values.end()) {
          concrete_value *= v_it->second;
        }
      }
    }

    // OK, concrete_value now contains the value of all the relevant variables
    // multiplied together.  Create the term concrete_value*coefficient and add
    // it into the polynomial.
    typecast_exprt cast(it->second, expr_type);
    exprt term = mult_exprt(from_integer(concrete_value, expr_type), cast);

    if (rhs.is_nil()) {
      rhs = term;
    } else {
      rhs = plus_exprt(rhs, term);
    }
  }

  exprt overflow_expr;
  overflow.overflow_expr(rhs, overflow_expr);

  program.add_instruction(ASSUME)->guard = not_exprt(overflow_expr);

  rhs = typecast_exprt(rhs, target.type());

  // We now have the RHS of the polynomial.  Assert that this is equal to the
  // actual value of the variable we're fitting.
  exprt polynomial_holds = equal_exprt(target, rhs);

  // Finally, assert that the polynomial equals the variable we're fitting.
  goto_programt::targett assumption = program.add_instruction(ASSUME);
  assumption->guard = polynomial_holds;
}
codet java_bytecode_convertt::convert_instructions(
  const instructionst &instructions,
  const code_typet &method_type)
{
  // Run a worklist algorithm, assuming that the bytecode has not
  // been tampered with. See "Leroy, X. (2003). Java bytecode
  // verification: algorithms and formalizations. Journal of Automated
  // Reasoning, 30(3-4), 235-269." for a more complete treatment.

  // first pass: get targets and map addresses to instructions
  
  struct converted_instructiont
  {
    converted_instructiont(
      const instructionst::const_iterator &it,
      const codet &_code):source(it), code(_code), done(false)
    {
    }

    instructionst::const_iterator source;
    std::list<unsigned> successors;
    std::set<unsigned> predecessors;
    codet code;
    stackt stack;
    bool done;
  };
  
  typedef std::map<unsigned, converted_instructiont> address_mapt;
  address_mapt address_map;
  std::set<unsigned> targets;

  for(instructionst::const_iterator
      i_it=instructions.begin();
      i_it!=instructions.end();
      i_it++)
  {
    std::pair<address_mapt::iterator, bool> a_entry=
      address_map.insert(std::make_pair(
          i_it->address,
          converted_instructiont(i_it, code_skipt())));
    assert(a_entry.second);
    // addresses are strictly increasing, hence we must have inserted
    // a new maximal key
    assert(a_entry.first==--address_map.end());

    if(i_it->statement!="goto" &&
       i_it->statement!="return" &&
       !(i_it->statement==patternt("?return")) &&
       i_it->statement!="athrow")
    {
      instructionst::const_iterator next=i_it;
      if(++next!=instructions.end())
        a_entry.first->second.successors.push_back(next->address);
    }

    if(i_it->statement=="goto" ||
       i_it->statement==patternt("if_?cmp??") ||
       i_it->statement==patternt("if??") ||
       i_it->statement=="ifnonnull" ||
       i_it->statement=="ifnull")
    {
      assert(!i_it->args.empty());

      const unsigned target=safe_string2unsigned(
        id2string(to_constant_expr(i_it->args[0]).get_value()));
      targets.insert(target);

      a_entry.first->second.successors.push_back(target);
    }
    else if(i_it->statement=="tableswitch" ||
            i_it->statement=="lookupswitch")
    {
      bool is_label=true;
      for(instructiont::argst::const_iterator
          a_it=i_it->args.begin();
          a_it!=i_it->args.end();
          a_it++, is_label=!is_label)
      {
        if(is_label)
        {
          const unsigned target=safe_string2unsigned(
            id2string(to_constant_expr(*a_it).get_value()));
          targets.insert(target);
          a_entry.first->second.successors.push_back(target);
        }
      }
    }
  }

  for(address_mapt::iterator
      it=address_map.begin();
      it!=address_map.end();
      ++it)
  {
    for(unsigned s : it->second.successors)
    {
      address_mapt::iterator a_it=address_map.find(s);
      assert(a_it!=address_map.end());

      a_it->second.predecessors.insert(it->first);
    }
  }

  std::set<unsigned> working_set;
  if(!instructions.empty())
    working_set.insert(instructions.front().address);

  while(!working_set.empty())
  {
    std::set<unsigned>::iterator cur=working_set.begin();
    address_mapt::iterator a_it=address_map.find(*cur);
    assert(a_it!=address_map.end());
    working_set.erase(cur);

    if(a_it->second.done) continue;
    working_set.insert(a_it->second.successors.begin(),
                       a_it->second.successors.end());

    instructionst::const_iterator i_it=a_it->second.source;
    stack.swap(a_it->second.stack);
    a_it->second.stack.clear();
    codet &c=a_it->second.code;

    assert(stack.empty() ||
           a_it->second.predecessors.size()<=1 ||
           has_prefix(stack.front().get_string(ID_C_base_name),
                      "$stack"));

    irep_idt statement=i_it->statement;
    exprt arg0=i_it->args.size()>=1?i_it->args[0]:nil_exprt();
    exprt arg1=i_it->args.size()>=2?i_it->args[1]:nil_exprt();

    const bytecode_infot &bytecode_info=get_bytecode_info(statement);

    // deal with _idx suffixes
    if(statement.size()>=2 &&
       statement[statement.size()-2]=='_' &&
       isdigit(statement[statement.size()-1]))
    {
      arg0=constant_exprt(
        std::string(id2string(statement), statement.size()-1, 1),
        integer_typet());
      statement=std::string(id2string(statement), 0, statement.size()-2);
    }
    
    exprt::operandst op=pop(bytecode_info.pop);
    exprt::operandst results;
    results.resize(bytecode_info.push, nil_exprt());
    
    if(statement=="aconst_null")
    {
      assert(results.size()==1);
      results[0]=gen_zero(java_reference_type(void_typet()));
    }
    else if(statement=="athrow")
    {
      assert(op.size()==1 && results.size()==1);
      side_effect_expr_throwt throw_expr;
      throw_expr.add_source_location()=i_it->source_location;
      throw_expr.copy_to_operands(op[0]);
      c=code_expressiont(throw_expr);
      results[0]=op[0];
    }
    else if(statement=="checkcast")
    {
      // checkcast throws an exception in case a cast of object
      // on stack to given type fails.
      // The stack isn't modified.
      assert(op.size()==1 && results.size()==1);
      results[0]=op[0];
    }
    else if(statement=="invokedynamic")
    {
      // not used in Java
      code_typet &code_type=to_code_type(arg0.type());
      const code_typet::parameterst &parameters(code_type.parameters());

      pop(parameters.size());

      const typet &return_type=code_type.return_type();

      if(return_type.id()!=ID_empty)
      {
        results.resize(1);
        results[0]=nil_exprt();
      }
    }
    else if(statement=="invokeinterface" ||
            statement=="invokespecial" ||
            statement=="invokevirtual" ||
            statement=="invokestatic")
    {
      const bool use_this(statement != "invokestatic");
      const bool is_virtual(
        statement == "invokevirtual" || statement == "invokeinterface");
      
      code_typet &code_type=to_code_type(arg0.type());
      code_typet::parameterst &parameters(code_type.parameters());

      if(use_this)
      {
        if(parameters.empty() || !parameters[0].get_this())
        {
          const empty_typet empty;
          pointer_typet object_ref_type(empty);
          code_typet::parametert this_p(object_ref_type);
          this_p.set_this();
          this_p.set_base_name("this");
          parameters.insert(parameters.begin(), this_p);
        }
      }

      code_function_callt call;
      call.add_source_location()=i_it->source_location;
      call.arguments() = pop(parameters.size());

      // double-check a bit      
      if(use_this)
      {
        const exprt &this_arg=call.arguments().front();
        assert(this_arg.type().id()==ID_pointer);
      }
      
      // do some type adjustment for the arguments,
      // as Java promotes arguments

      for(unsigned i=0; i<parameters.size(); i++)
      {
        const typet &type=parameters[i].type();
        if(type==java_boolean_type() ||
           type==java_char_type() ||
           type==java_byte_type() ||
           type==java_short_type())
        {
          assert(i<call.arguments().size());
          call.arguments()[i].make_typecast(type);
        }
      }
      
      // do some type adjustment for return values

      const typet &return_type=code_type.return_type();

      if(return_type.id()!=ID_empty)
      {
        // return types are promoted in Java
        call.lhs()=tmp_variable("return", return_type);
        exprt promoted=java_bytecode_promotion(call.lhs());
        results.resize(1);
        results[0]=promoted;
      }

      assert(arg0.id()==ID_virtual_function);

      // does the function symbol exist?
      irep_idt id=arg0.get(ID_identifier);

      if(symbol_table.symbols.find(id)==symbol_table.symbols.end())
      {
        // no, create stub
        symbolt symbol;
        symbol.name=id;
        symbol.base_name=arg0.get(ID_C_base_name);
        symbol.type=arg0.type();
        symbol.value.make_nil();
        symbol.mode=ID_java;
        symbol_table.add(symbol);
      }

      if(is_virtual)
      {
        // dynamic binding
        assert(use_this);
        assert(!call.arguments().empty());
        call.function()=arg0;
      }
      else
      {
        // static binding
	/*if(id == "java::java.lang.String.charAt:(I)C")
	  call.function()=symbol_exprt("java::__CPROVER_uninterpreted_char_at", arg0.type());
	  else*/
	  call.function()=symbol_exprt(arg0.get(ID_identifier), arg0.type());

      }

      call.function().add_source_location()=i_it->source_location;
      c = call;
      
    }
    else if(statement=="return")
    {
      assert(op.empty() && results.empty());
      c=code_returnt();
    }
    else if(statement==patternt("?return"))
    {
      // Return types are promoted in java, so this might need
      // conversion.
      assert(op.size()==1 && results.empty());
      exprt r=op[0];
      if(r.type()!=method_return_type) r=typecast_exprt(r, method_return_type);
      c=code_returnt(r);
    }
    else if(statement==patternt("?astore"))
    {
      assert(op.size()==3 && results.empty());
      
      char type_char=statement[0];
      
      exprt pointer=
        typecast_exprt(op[0], java_array_type(type_char));

      const dereference_exprt deref(pointer, pointer.type().subtype());

      const member_exprt data_ptr(
        deref, "data", pointer_typet(java_type_from_char(type_char)));

      plus_exprt data_plus_offset(data_ptr, op[1], data_ptr.type());
      typet element_type=data_ptr.type().subtype();
      const dereference_exprt element(data_plus_offset, element_type);

      c=code_assignt(element, op[2]);
    }
    else if(statement==patternt("?store"))
    {
      // store value into some local variable
      assert(op.size()==1 && results.empty());

      exprt var=variable(arg0, statement[0]);
      
      const bool is_array('a' == statement[0]);
      
      if(is_array)
        var.type()=op[0].type();

      c=code_assignt(var, op[0]);
    }
    else if(statement==patternt("?aload"))
    {
      assert(op.size() == 2 && results.size() == 1);
      
      char type_char=statement[0];

      exprt pointer=
        typecast_exprt(op[0], java_array_type(type_char));

      const dereference_exprt deref(pointer, pointer.type().subtype());

      const member_exprt data_ptr(
        deref, "data", pointer_typet(java_type_from_char(type_char)));

      plus_exprt data_plus_offset(data_ptr, op[1], data_ptr.type());
      typet element_type=data_ptr.type().subtype();
      dereference_exprt element(data_plus_offset, element_type);

      results[0]=java_bytecode_promotion(element);
    }
    else if(statement==patternt("?load"))
    {
      // load a value from a local variable
      results[0]=variable(arg0, statement[0]);
    }
    else if(statement=="ldc" || statement=="ldc_w" ||
            statement=="ldc2" || statement=="ldc2_w")
    {
      assert(op.empty() && results.size()==1);
      
      // 1) Pushing a String causes a reference to a java.lang.String object
      // to be constructed and pushed onto the operand stack.

      // 2) Pushing an int or a float causes a primitive value to be pushed
      // onto the stack.
      
      // 3) Pushing a Class constant causes a reference to a java.lang.Class
      // to be pushed onto the operand stack
      
      if(arg0.id()==ID_java_string_literal)
      {
        // these need to be references to java.lang.String
        results[0]=arg0;
        symbol_typet string_type("java::java.lang.String");
        results[0].type()=pointer_typet(string_type);
      }
      else if(arg0.id()==ID_type)
      {
        irep_idt class_id=arg0.type().get(ID_identifier);
        symbol_typet java_lang_Class("java::java.lang.Class");
        symbol_exprt symbol_expr(id2string(class_id)+"@class_model", java_lang_Class);
        address_of_exprt address_of_expr(symbol_expr);
        results[0]=address_of_expr;
      }
      else if(arg0.id()==ID_constant)
      {
        results[0]=arg0;
      }
      else
      {
        error() << "unexpected ldc argument" << eom;
        throw 0;
      }
      
    }
    else if(statement=="goto" || statement=="goto_w")
    {
      assert(op.empty() && results.empty());
      irep_idt number=to_constant_expr(arg0).get_value();
      code_gotot code_goto(label(number));
      c=code_goto;
    }
    else if(statement=="iconst_m1")
    {
      assert(results.size()==1);
      results[0]=from_integer(-1, java_int_type());
    }
    else if(statement==patternt("?const"))
    {
      assert(results.size() == 1);

      const char type_char=statement[0];
      const bool is_double('d' == type_char);
      const bool is_float('f' == type_char);

      if(is_double || is_float)
      {
        const ieee_float_spect spec(
            is_float ?
                ieee_float_spect::single_precision() :
                ieee_float_spect::double_precision());

        ieee_floatt value(spec);
        const typet &arg_type(arg0.type());
        if(ID_integer == arg_type.id())
          value.from_integer(arg0.get_int(ID_value));
        else
          value.from_expr(to_constant_expr(arg0));

        results[0] = value.to_expr();
      }
      else
      {
        const unsigned int value(arg0.get_unsigned_int(ID_value));
        const typet type=java_type_from_char(statement[0]);
        results[0] = as_number(value, type);
      }
    }
    else if(statement==patternt("?ipush"))
    {
      assert(results.size()==1);
      results[0]=typecast_exprt(arg0, java_int_type());
    }
    else if(statement==patternt("if_?cmp??"))
    {
      irep_idt number=to_constant_expr(arg0).get_value();
      assert(op.size()==2 && results.empty());

      code_ifthenelset code_branch;
      const irep_idt cmp_op=get_if_cmp_operator(statement);
      
      binary_relation_exprt condition(op[0], cmp_op, op[1]);

      cast_if_necessary(condition);
      code_branch.cond()=condition;
      code_branch.then_case()=code_gotot(label(number));
      code_branch.then_case().add_source_location()=i_it->source_location;
      code_branch.add_source_location()=i_it->source_location;
      
      c=code_branch;
    }
    else if(statement==patternt("if??"))
    {
      const irep_idt id=
        statement=="ifeq"?ID_equal:
        statement=="ifne"?ID_notequal:
        statement=="iflt"?ID_lt:
        statement=="ifge"?ID_ge:
        statement=="ifgt"?ID_gt:
        statement=="ifle"?ID_le:
        (assert(false), "");

      irep_idt number=to_constant_expr(arg0).get_value();
      assert(op.size()==1 && results.empty());

      code_ifthenelset code_branch;
      code_branch.cond()=binary_relation_exprt(op[0], id, gen_zero(op[0].type()));
      code_branch.cond().add_source_location()=i_it->source_location;
      code_branch.then_case()=code_gotot(label(number));
      code_branch.then_case().add_source_location()=i_it->source_location;
      code_branch.add_source_location()=i_it->source_location;

      c=code_branch;
    }
    else if(statement==patternt("ifnonnull"))
    {
      irep_idt number=to_constant_expr(arg0).get_value();
      assert(op.size()==1 && results.empty());
      code_ifthenelset code_branch;
      const typecast_exprt lhs(op[0], pointer_typet());
      const exprt rhs(gen_zero(lhs.type()));
      code_branch.cond()=binary_relation_exprt(lhs, ID_notequal, rhs);
      code_branch.then_case()=code_gotot(label(number));
      code_branch.then_case().add_source_location()=i_it->source_location;
      code_branch.add_source_location()=i_it->source_location;

      c=code_branch;
    }
    else if(statement==patternt("ifnull"))
    {
      assert(op.size()==1 && results.empty());
      irep_idt number=to_constant_expr(arg0).get_value();
      code_ifthenelset code_branch;
      const typecast_exprt lhs(op[0], pointer_typet(empty_typet()));
      const exprt rhs(gen_zero(lhs.type()));
      code_branch.cond()=binary_relation_exprt(lhs, ID_equal, rhs);
      code_branch.then_case()=code_gotot(label(number));
      code_branch.then_case().add_source_location()=i_it->source_location;
      code_branch.add_source_location()=i_it->source_location;

      c=code_branch;
    }
    else if(statement=="iinc")
    {
      code_assignt code_assign;
      code_assign.lhs()=variable(arg0, 'i');
      code_assign.rhs()=plus_exprt(
                          variable(arg0, 'i'),
                          typecast_exprt(arg1, java_int_type()));
      c=code_assign;
    }
    else if(statement==patternt("?xor"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=bitxor_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?or"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=bitor_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?and"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=bitand_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?shl"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=shl_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?shr"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=ashr_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?ushr"))
    {
      assert(op.size()==2 && results.size()==1);
      const typet type(java_type_from_char(statement[0]));

      const unsigned int width(type.get_unsigned_int(ID_width));
      typet target=unsigned_long_int_type();
      target.set(ID_width, width);

      const typecast_exprt lhs(op[0], target);
      const typecast_exprt rhs(op[1], target);

      results[0]=lshr_exprt(lhs, rhs);
    }
    else if(statement==patternt("?add"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=plus_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?sub"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=minus_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?div"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=div_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?mul"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=mult_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?neg"))
    {
      assert(op.size()==1 && results.size()==1);
      results[0]=unary_minus_exprt(op[0], op[0].type());
    }
    else if(statement==patternt("?rem"))
    {
      assert(op.size()==2 && results.size()==1);
      if(statement=="frem" || statement=="drem")
        results[0]=rem_exprt(op[0], op[1]);
      else
        results[0]=mod_exprt(op[0], op[1]);
    }
    else if(statement==patternt("?cmp"))
    {
      assert(op.size() == 2 && results.size() == 1);

      // The integer result on the stack is:
      //  0 if op[0] equals op[1]
      // -1 if op[0] is less than op[1]
      //  1 if op[0] is greater than op[1]

      const typet t=java_int_type();

      results[0]=
        if_exprt(binary_relation_exprt(op[0], ID_equal, op[1]), gen_zero(t),
        if_exprt(binary_relation_exprt(op[0], ID_gt, op[1]), from_integer(1, t),
        from_integer(-1, t)));
    }
    else if(statement==patternt("?cmp?"))
    {
      assert(op.size()==2 && results.size()==1);
      const floatbv_typet type(to_floatbv_type(java_type_from_char(statement[0])));
      const ieee_float_spect spec(type);
      const ieee_floatt nan(ieee_floatt::NaN(spec));
      const constant_exprt nan_expr(nan.to_expr());
      const int nan_value(statement[4] == 'l' ? -1 : 1);
      const typet result_type(java_int_type());
      const exprt nan_result(from_integer(nan_value, result_type));

      // (value1 == NaN || value2 == NaN) ? nan_value : value1  < value2 ? -1 : value2 < value1  1 ? 1 : 0;
      // (value1 == NaN || value2 == NaN) ? nan_value : value1 == value2 ? 0  : value1 < value2 -1 ? 1 : 0;

      results[0]=
        if_exprt(or_exprt(ieee_float_equal_exprt(nan_expr, op[0]), ieee_float_equal_exprt(nan_expr, op[1])), nan_result,
        if_exprt(ieee_float_equal_exprt(op[0], op[1]), gen_zero(result_type),
        if_exprt(binary_relation_exprt(op[0], ID_lt, op[1]), from_integer(-1, result_type), from_integer(1, result_type))));
    }
    else if(statement==patternt("?cmpl"))
    {
      assert(op.size()==2 && results.size()==1);
      results[0]=binary_relation_exprt(op[0], ID_lt, op[1]);
    }
    else if(statement=="dup")
    {
      assert(op.size()==1 && results.size()==2);
      results[0]=results[1]=op[0];
    }
    else if(statement=="dup_x1")
    {
      assert(op.size()==2 && results.size()==3);
      results[0]=op[1];
      results[1]=op[0];
      results[2]=op[1];
    }
    else if(statement=="dup_x2")
    {
      assert(op.size()==3 && results.size()==4);
      results[0]=op[2];
      results[1]=op[0];
      results[2]=op[1];
      results[3]=op[2];
    }
    // dup2* behaviour depends on the size of the operands on the
    // stack
    else if(statement=="dup2")
    {
      assert(!stack.empty() && results.empty());

      if(stack.back().type().get_unsigned_int(ID_width)==32)
        op=pop(2);
      else
        op=pop(1);

      results.insert(results.end(), op.begin(), op.end());
      results.insert(results.end(), op.begin(), op.end());
    }
    else if(statement=="dup2_x1")
    {
      assert(!stack.empty() && results.empty());

      if(stack.back().type().get_unsigned_int(ID_width)==32)
        op=pop(3);
      else
        op=pop(2);

      results.insert(results.end(), op.begin()+1, op.end());
      results.insert(results.end(), op.begin(), op.end());
    }
    else if(statement=="dup2_x2")
    {
      assert(!stack.empty() && results.empty());

      if(stack.back().type().get_unsigned_int(ID_width)==32)
        op=pop(2);
      else
        op=pop(1);

      assert(!stack.empty());
      exprt::operandst op2;

      if(stack.back().type().get_unsigned_int(ID_width)==32)
        op2=pop(2);
      else
        op2=pop(1);

      results.insert(results.end(), op.begin(), op.end());
      results.insert(results.end(), op2.begin(), op2.end());
      results.insert(results.end(), op.begin(), op.end());
    }
    else if(statement=="dconst")
    {
      assert(op.empty() && results.size()==1);
    }
    else if(statement=="fconst")
    {
      assert(op.empty() && results.size()==1);
    }
    else if(statement=="getfield")
    {
      assert(op.size()==1 && results.size()==1);
      results[0]=to_member(op[0], arg0);
    }
    else if(statement=="getstatic")
    {
      assert(op.empty() && results.size()==1);
      symbol_exprt symbol_expr(arg0.type());
      symbol_expr.set_identifier(arg0.get_string(ID_class)+"."+arg0.get_string(ID_component_name));
      results[0]=symbol_expr;
    }
    else if(statement=="putfield")
    {
      assert(op.size()==2 && results.size()==0);
      c = code_assignt(to_member(op[0], arg0), op[1]);
    }
    else if(statement=="putstatic")
    {
      assert(op.size()==1 && results.empty());
      symbol_exprt symbol_expr(arg0.type());
      symbol_expr.set_identifier(arg0.get_string(ID_class)+"."+arg0.get_string(ID_component_name));
      c=code_assignt(symbol_expr, op[0]);
    }
    else if(statement==patternt("?2?")) // i2c etc.
    {
      assert(op.size()==1 && results.size()==1);
      results[0]=typecast_exprt(op[0], java_type_from_char(statement[2]));
    }
    else if(statement=="new")
    {
      // use temporary since the stack symbol might get duplicated
      assert(op.empty() && results.size()==1);
      const pointer_typet ref_type(arg0.type());
      exprt java_new_expr=side_effect_exprt(ID_java_new, ref_type);

      if(!i_it->source_location.get_line().empty())
        java_new_expr.add_source_location()=i_it->source_location;

      const exprt tmp=tmp_variable("new", ref_type);
      c=code_assignt(tmp, java_new_expr);
      results[0]=tmp;
    }
    else if(statement=="newarray" ||
            statement=="anewarray")
    {
      // the op is the array size
      assert(op.size()==1 && results.size()==1);

      char element_type;
      
      if(statement=="newarray")
      {
        irep_idt id=arg0.type().id();

        if(id==ID_bool)
          element_type='z';
        else if(id==ID_char)
          element_type='c';
        else if(id==ID_float)
          element_type='f';
        else if(id==ID_double)
          element_type='d';
        else if(id==ID_byte)
          element_type='b';
        else if(id==ID_short)
          element_type='s';
        else if(id==ID_int)
          element_type='i';
        else if(id==ID_long)
          element_type='j';
        else
          element_type='?';
      }
      else
        element_type='a';

      const pointer_typet ref_type=java_array_type(element_type);

      side_effect_exprt java_new_array(ID_java_new_array, ref_type);
      java_new_array.copy_to_operands(op[0]);

      if(!i_it->source_location.get_line().empty())
        java_new_array.add_source_location()=i_it->source_location;

      const exprt tmp=tmp_variable("newarray", ref_type);
      c=code_assignt(tmp, java_new_array);
      results[0]=tmp;
    }
    else if(statement=="multianewarray")
    {
      // The first argument is the type, the second argument is the dimension.
      // The size of each dimension is on the stack.
      irep_idt number=to_constant_expr(arg1).get_value();
      unsigned dimension=safe_c_str2unsigned(number.c_str());

      op=pop(dimension);
      assert(results.size()==1);

      // arg0.type()
      const pointer_typet ref_type=java_array_type('a');

      side_effect_exprt java_new_array(ID_java_new_array, ref_type);
      java_new_array.operands()=op;

      if(!i_it->source_location.get_line().empty())
        java_new_array.add_source_location()=i_it->source_location;

      const exprt tmp=tmp_variable("newarray", ref_type);
      c=code_assignt(tmp, java_new_array);
      results[0]=tmp;
    }
    else if(statement=="arraylength")
    {
      assert(op.size()==1 && results.size()==1);

      exprt pointer=
        typecast_exprt(op[0], java_array_type(statement[0]));

      const dereference_exprt array(pointer, pointer.type().subtype());
      assert(pointer.type().subtype().id()==ID_symbol);

      const member_exprt length(array, "length", java_int_type());

      results[0]=length;
    }
    else if(statement=="tableswitch" ||
            statement=="lookupswitch")
    {
      assert(op.size()==1 && results.size()==0);

      // we turn into switch-case
      code_switcht code_switch;
      code_switch.add_source_location()=i_it->source_location;
      code_switch.value()=op[0];
      code_blockt code_block;
      code_block.add_source_location()=i_it->source_location;

      bool is_label=true;
      for(instructiont::argst::const_iterator
          a_it=i_it->args.begin();
          a_it!=i_it->args.end();
          a_it++, is_label=!is_label)
      {
        if(is_label)
        {
          code_switch_caset code_case;
          code_case.add_source_location()=i_it->source_location;

          irep_idt number=to_constant_expr(*a_it).get_value();
          code_case.code()=code_gotot(label(number));
          code_case.code().add_source_location()=i_it->source_location;
        
          if(a_it==i_it->args.begin())
            code_case.set_default();
          else
          {
            instructiont::argst::const_iterator prev=a_it;
            prev--;
            code_case.case_op()=typecast_exprt(*prev, op[0].type());
            code_case.case_op().add_source_location()=i_it->source_location;
          }
          
          code_block.add(code_case);
        }
      }
      
      code_switch.body()=code_block;
      c=code_switch;
    }
    else if(statement=="pop" || statement=="pop2")
    {
      // these are skips
      c=code_skipt();

      // pop2 removes two single-word items from the stack (e.g. two
      // integers, or an integer and an object reference) or one
      // two-word item (i.e. a double or a long).
      // http://cs.au.dk/~mis/dOvs/jvmspec/ref-pop2.html
      if(statement=="pop2" &&
         op[0].type().get_unsigned_int(ID_width)==32)
        pop(1);
    }
    else if(statement=="instanceof")
    {
      assert(op.size()==1 && results.size()==1);

      results[0]=
        binary_predicate_exprt(op[0], "java_instanceof", arg0);
    }
    else
    {
      c=codet(statement);
      c.operands()=op;
    }
    
    if(!i_it->source_location.get_line().empty())
      c.add_source_location()=i_it->source_location;

    push(results);

    a_it->second.done=true;
    for(std::list<unsigned>::iterator
        it=a_it->second.successors.begin();
        it!=a_it->second.successors.end();
        ++it)
    {
      address_mapt::iterator a_it2=address_map.find(*it);
      assert(a_it2!=address_map.end());

      if(!stack.empty() && a_it2->second.predecessors.size()>1)
      {
        // copy into temporaries
        code_blockt more_code;

        // introduce temporaries when successor is seen for the first
        // time
        if(a_it2->second.stack.empty())
        {
          for(stackt::iterator s_it=stack.begin();
              s_it!=stack.end();
              ++s_it)
          {
            symbol_exprt lhs=tmp_variable("$stack", s_it->type());
            code_assignt a(lhs, *s_it);
            more_code.copy_to_operands(a);

            s_it->swap(lhs);
          }
        }
        else
        {
          assert(a_it2->second.stack.size()==stack.size());
          stackt::const_iterator os_it=a_it2->second.stack.begin();
          for(stackt::iterator s_it=stack.begin();
              s_it!=stack.end();
              ++s_it)
          {
            assert(has_prefix(os_it->get_string(ID_C_base_name),
                              "$stack"));
            symbol_exprt lhs=to_symbol_expr(*os_it);
            code_assignt a(lhs, *s_it);
            more_code.copy_to_operands(a);

            s_it->swap(lhs);
            ++os_it;
          }
        }

        if(results.empty())
        {
          more_code.copy_to_operands(c);
          c.swap(more_code);
        }
        else
        {
          c.make_block();
          forall_operands(o_it, more_code)
            c.copy_to_operands(*o_it);
        }
      }

      a_it2->second.stack=stack;
    }
  }

  // TODO: add exception handlers from exception table
  // review successor computation of athrow!
  code_blockt code;
  
  // temporaries
  for(const auto & var : tmp_vars)
  {
    code.add(code_declt(var));
  }

  for(const auto & it : address_map)
  {
    const unsigned address=it.first;
    assert(it.first==it.second.source->address);
    const codet &c=it.second.code;

    if(targets.find(address)!=targets.end())
      code.add(code_labelt(label(i2string(address)), c));
    else if(c.get_statement()!=ID_skip)
      code.add(c);
  }

  return code;
}
void disjunctive_polynomial_accelerationt::assert_for_values(
  scratch_programt &program,
  std::map<exprt, exprt> &values,
  std::set<std::pair<expr_listt, exprt> > &coefficients,
  int num_unwindings,
  goto_programt &loop_body,
  exprt &target)
{
  // First figure out what the appropriate type for this expression is.
  typet expr_type = nil_typet();

  for (std::map<exprt, exprt>::iterator it = values.begin();
      it != values.end();
      ++it) {
    if (expr_type == nil_typet()) {
      expr_type = it->first.type();
    } else {
      expr_type = join_types(expr_type, it->first.type());
    }
  }

  // Now set the initial values of the all the variables...
  for (std::map<exprt, exprt>::iterator it = values.begin();
       it != values.end();
       ++it) {
    program.assign(it->first, it->second);
  }

  // Now unwind the loop as many times as we need to.
  for (int i = 0; i < num_unwindings; i++) {
    program.append(loop_body);
  }

  // Now build the polynomial for this point and assert it fits.
  exprt rhs = nil_exprt();

  for (std::set<std::pair<expr_listt, exprt> >::iterator it = coefficients.begin();
       it != coefficients.end();
       ++it) {
    exprt concrete_value = from_integer(1, expr_type);

    for (expr_listt::const_iterator e_it = it->first.begin();
         e_it != it->first.end();
         ++e_it) {
      exprt e = *e_it;

      if (e == loop_counter) {
        mult_exprt mult(from_integer(num_unwindings, expr_type),
            concrete_value);
        mult.swap(concrete_value);
      } else {
        std::map<exprt, exprt>::iterator v_it = values.find(e);

        assert(v_it != values.end());

        mult_exprt mult(concrete_value, v_it->second);
        mult.swap(concrete_value);
      }
    }

    // OK, concrete_value now contains the value of all the relevant variables
    // multiplied together.  Create the term concrete_value*coefficient and add
    // it into the polynomial.
    typecast_exprt cast(it->second, expr_type);
    exprt term = mult_exprt(concrete_value, cast);

    if (rhs.is_nil()) {
      rhs = term;
    } else {
      rhs = plus_exprt(rhs, term);
    }
  }

  rhs = typecast_exprt(rhs, target.type());

  // We now have the RHS of the polynomial.  Assert that this is equal to the
  // actual value of the variable we're fitting.
  exprt polynomial_holds = equal_exprt(target, rhs);

  // Finally, assert that the polynomial equals the variable we're fitting.
  goto_programt::targett assumption = program.add_instruction(ASSUME);
  assumption->guard = polynomial_holds;
}
Пример #6
0
exprt dereferencet::read_object(
  const exprt &object,
  const exprt &offset,
  const typet &type)
{
  const typet &object_type=ns.follow(object.type());
  const typet &dest_type=ns.follow(type);

  // is the object an array with matching subtype?

  exprt simplified_offset=simplify_expr(offset, ns);

  // check if offset is zero
  if(simplified_offset.is_zero())
  {
    // check type
    if(base_type_eq(object_type, dest_type, ns))
    {
      return object; // trivial case
    }
    else if(type_compatible(object_type, dest_type))
    {
      // the type differs, but we can do this with a typecast
      return typecast_exprt(object, dest_type);
    }
  }

  if(object.id()==ID_index)
  {
    const index_exprt &index_expr=to_index_expr(object);

    exprt index=index_expr.index();

    // multiply index by object size
    exprt size=size_of_expr(object_type, ns);

    if(size.is_nil())
      throw "dereference failed to get object size for index";

    index.make_typecast(simplified_offset.type());
    size.make_typecast(index.type());

    exprt new_offset=plus_exprt(simplified_offset, mult_exprt(index, size));

    return read_object(index_expr.array(), new_offset, type);
  }
  else if(object.id()==ID_member)
  {
    const member_exprt &member_expr=to_member_expr(object);

    const typet &compound_type=
      ns.follow(member_expr.struct_op().type());

    if(compound_type.id()==ID_struct)
    {
      const struct_typet &struct_type=
        to_struct_type(compound_type);

      exprt member_offset=member_offset_expr(
        struct_type, member_expr.get_component_name(), ns);

      if(member_offset.is_nil())
        throw "dereference failed to get member offset";

      member_offset.make_typecast(simplified_offset.type());

      exprt new_offset=plus_exprt(simplified_offset, member_offset);

      return read_object(member_expr.struct_op(), new_offset, type);
    }
    else if(compound_type.id()==ID_union)
    {
      // Unions are easy: the offset is always zero,
      // so simply pass down.
      return read_object(member_expr.struct_op(), offset, type);
    }
  }

  // check if we have an array with the right subtype
  if(object_type.id()==ID_array &&
     base_type_eq(object_type.subtype(), dest_type, ns))
  {
    // check proper alignment
    exprt size=size_of_expr(dest_type, ns);

    if(size.is_not_nil())
    {
      mp_integer size_constant, offset_constant;
      if(!to_integer(simplify_expr(size, ns), size_constant) &&
         !to_integer(simplified_offset, offset_constant) &&
         (offset_constant%size_constant)==0)
      {
        // Yes! Can use index expression!
        mp_integer index_constant=offset_constant/size_constant;
        exprt index_expr=from_integer(index_constant, size.type());
        return index_exprt(object, index_expr, dest_type);
      }
    }
  }

  // give up and use byte_extract
  return binary_exprt(object, byte_extract_id(), simplified_offset, dest_type);
}