goto_symex.cpp

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/*******************************************************************\
 
Module: Symbolic Execution
 
Author: Daniel Kroening, kroening@kroening.com
 
\*******************************************************************/
 
 
#include "goto_symex.h"
 
#include <util/arith_tools.h>
#include <util/c_types.h>
#include <util/format_expr.h>
#include <util/fresh_symbol.h>
#include <util/mathematical_expr.h>
#include <util/mathematical_types.h>
#include <util/pointer_offset_size.h>
#include <util/simplify_utils.h>
#include <util/std_code.h>
#include <util/string_expr.h>
#include <util/string_utils.h>
 
#include "expr_skeleton.h"
#include "simplify_expr_with_value_set.h"
#include "symex_assign.h"
 
#include <climits>
 
void goto_symext::do_simplify(exprt &expr, const value_sett &value_set)
{
  if(symex_config.simplify_opt)
  {
    simplify_expr_with_value_sett{value_set, language_mode, ns}.simplify(expr);
  }
}
 
void goto_symext::symex_assign(
  statet &state,
  const exprt &o_lhs,
  const exprt &o_rhs)
{
  exprt lhs = clean_expr(o_lhs, state, true);
  exprt rhs = clean_expr(o_rhs, state, false);
 
  DATA_INVARIANT_WITH_DIAGNOSTICS(
    lhs.type() == rhs.type(),
    "assignments must be type consistent, got",
    lhs.type().pretty(),
    rhs.type().pretty(),
    state.source.pc->source_location());
 
  log.conditional_output(
    log.debug(), [this, &lhs](messaget::mstreamt &mstream) {
      mstream << "Assignment to " << format(lhs) << " ["
              << pointer_offset_bits(lhs.type(), ns).value_or(0) << " bits]"
              << messaget::eom;
    });
 
  // rvalues present within the lhs (for example, "some_array[this_rvalue]" or
  // "byte_extract <type> from an_lvalue offset this_rvalue") can affect whether
  // we use field-sensitive symbols or not, so L2-rename them up front:
  lhs = state.l2_rename_rvalues(lhs, ns);
  do_simplify(lhs, state.value_set);
  lhs = state.field_sensitivity.apply(ns, state, std::move(lhs), true);
 
  if(rhs.id() == ID_side_effect)
  {
    const side_effect_exprt &side_effect_expr = to_side_effect_expr(rhs);
    const irep_idt &statement = side_effect_expr.get_statement();
 
    if(
      statement == ID_cpp_new || statement == ID_cpp_new_array ||
      statement == ID_java_new_array_data)
    {
      symex_cpp_new(state, lhs, side_effect_expr);
    }
    else if(statement == ID_allocate)
      symex_allocate(state, lhs, side_effect_expr);
    else if(statement == ID_va_start)
      symex_va_start(state, lhs, side_effect_expr);
    else
      UNREACHABLE;
  }
  else
  {
    assignment_typet assignment_type = symex_targett::assignment_typet::STATE;
 
    // Let's hide return value assignments.
    if(
      lhs.id() == ID_symbol &&
      id2string(to_symbol_expr(lhs).identifier()).find("#return_value!") !=
        std::string::npos)
    {
      assignment_type = symex_targett::assignment_typet::HIDDEN;
    }
 
    // We hide if we are in a hidden function.
    if(state.call_stack().top().hidden_function)
      assignment_type = symex_targett::assignment_typet::HIDDEN;
 
    // We hide if we are executing a hidden instruction.
    if(state.source.pc->source_location().get_hide())
      assignment_type = symex_targett::assignment_typet::HIDDEN;
 
    symex_assignt symex_assign{
      shadow_memory,
      state,
      assignment_type,
      ns,
      symex_config,
      language_mode,
      target};
 
    // Try to constant propagate potential side effects of the assignment, when
    // simplification is turned on and there is one thread only. Constant
    // propagation is only sound for sequential code as here we do not take into
    // account potential writes from other threads when propagating the values.
    if(symex_config.simplify_opt && state.threads.size() <= 1)
    {
      if(constant_propagate_assignment_with_side_effects(
           state, symex_assign, lhs, rhs))
        return;
    }
 
    // We may end up reading (and writing) all components of an object composed
    // of multiple fields. In such cases, we must do so atomically to avoid
    // overwriting components modified by another thread. Note that this also
    // implies multiple shared reads on the rhs being treated as atomic.
    const bool maybe_divisible =
      lhs.id() == ID_index ||
      (is_ssa_expr(lhs) &&
       state.field_sensitivity.is_divisible(to_ssa_expr(lhs), false));
    const bool need_atomic_section = maybe_divisible &&
                                     state.threads.size() > 1 &&
                                     state.atomic_section_id == 0;
 
    if(need_atomic_section)
      symex_atomic_begin(state);
 
    exprt::operandst lhs_if_then_else_conditions;
    symex_assignt{
      shadow_memory,
      state,
      assignment_type,
      ns,
      symex_config,
      language_mode,
      target}
      .assign_rec(lhs, expr_skeletont{}, rhs, lhs_if_then_else_conditions);
 
    if(need_atomic_section)
      symex_atomic_end(state);
  }
}
 
static std::string get_alnum_string(const array_exprt &char_array)
{
  const auto &ibv_type =
    to_integer_bitvector_type(to_array_type(char_array.type()).element_type());
 
  const std::size_t n_bits = ibv_type.get_width();
  CHECK_RETURN(n_bits % 8 == 0);
 
  static_assert(CHAR_BIT == 8, "bitwidth of char assumed to be 8");
 
  const std::size_t n_chars = n_bits / 8;
 
  INVARIANT(
    sizeof(std::size_t) >= n_chars,
    "size_t shall be large enough to represent a character");
 
  std::string result;
 
  for(const auto &c : char_array.operands())
  {
    const std::size_t c_val = numeric_cast_v<std::size_t>(to_constant_expr(c));
 
    for(std::size_t i = 0; i < n_chars; i++)
    {
      const char c_chunk = static_cast<char>((c_val >> (i * 8)) & 0xff);
      result.push_back(c_chunk);
    }
  }
 
  return escape_non_alnum(result);
}
 
bool goto_symext::constant_propagate_assignment_with_side_effects(
  statet &state,
  symex_assignt &symex_assign,
  const exprt &lhs,
  const exprt &rhs)
{
  if(rhs.id() == ID_function_application)
  {
    const function_application_exprt &f_l1 = to_function_application_expr(rhs);
 
    if(f_l1.function().id() == ID_symbol)
    {
      const irep_idt &func_id = to_symbol_expr(f_l1.function()).identifier();
 
      if(func_id == ID_cprover_string_concat_func)
      {
        return constant_propagate_string_concat(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_empty_string_func)
      {
        // constant propagating the empty string always succeeds as it does
        // not depend on potentially non-constant inputs
        constant_propagate_empty_string(state, symex_assign, f_l1);
        return true;
      }
      else if(func_id == ID_cprover_string_substring_func)
      {
        return constant_propagate_string_substring(state, symex_assign, f_l1);
      }
      else if(
        func_id == ID_cprover_string_of_int_func ||
        func_id == ID_cprover_string_of_long_func)
      {
        return constant_propagate_integer_to_string(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_delete_char_at_func)
      {
        return constant_propagate_delete_char_at(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_delete_func)
      {
        return constant_propagate_delete(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_set_length_func)
      {
        return constant_propagate_set_length(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_char_set_func)
      {
        return constant_propagate_set_char_at(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_trim_func)
      {
        return constant_propagate_trim(state, symex_assign, f_l1);
      }
      else if(func_id == ID_cprover_string_to_lower_case_func)
      {
        return constant_propagate_case_change(state, symex_assign, f_l1, false);
      }
      else if(func_id == ID_cprover_string_to_upper_case_func)
      {
        return constant_propagate_case_change(state, symex_assign, f_l1, true);
      }
      else if(func_id == ID_cprover_string_replace_func)
      {
        return constant_propagate_replace(state, symex_assign, f_l1);
      }
    }
  }
 
  return false;
}
 
void goto_symext::assign_string_constant(
  statet &state,
  symex_assignt &symex_assign,
  const ssa_exprt &length,
  const constant_exprt &new_length,
  const ssa_exprt &char_array,
  const array_exprt &new_char_array)
{
  // We need to make sure that the length of the previous array isn't
  // unconstrained, otherwise it could be arbitrarily large which causes
  // invalid traces
  symex_assume(state, equal_exprt{length, from_integer(0, length.type())});
 
  // assign length of string
  symex_assign.assign_symbol(length, expr_skeletont{}, new_length, {});
 
  const std::string aux_symbol_name =
    get_alnum_string(new_char_array) + "_constant_char_array";
 
  const bool string_constant_exists =
    state.symbol_table.has_symbol(aux_symbol_name);
 
  const symbolt &aux_symbol =
    string_constant_exists
      ? state.symbol_table.lookup_ref(aux_symbol_name)
      : get_new_string_data_symbol(
          state, symex_assign, aux_symbol_name, char_array, new_char_array);
 
  INVARIANT(
    aux_symbol.value == new_char_array,
    "symbol shall have value derived from char array content");
 
  const address_of_exprt string_data(
    index_exprt(aux_symbol.symbol_expr(), from_integer(0, c_index_type())));
 
  symex_assign.assign_symbol(char_array, expr_skeletont{}, string_data, {});
 
  if(!string_constant_exists)
  {
    associate_array_to_pointer(
      state, symex_assign, new_char_array, string_data);
  }
}
 
const symbolt &goto_symext::get_new_string_data_symbol(
  statet &state,
  symex_assignt &symex_assign,
  const std::string &aux_symbol_name,
  const ssa_exprt &char_array,
  const array_exprt &new_char_array)
{
  array_typet new_char_array_type = new_char_array.type();
  new_char_array_type.set(ID_C_constant, true);
 
  symbolt &new_aux_symbol = get_fresh_aux_symbol(
    new_char_array_type,
    "",
    aux_symbol_name,
    source_locationt(),
    ns.lookup(to_symbol_expr(char_array.get_original_expr())).mode,
    ns,
    state.symbol_table);
 
  CHECK_RETURN(new_aux_symbol.is_state_var);
  CHECK_RETURN(new_aux_symbol.is_lvalue);
 
  new_aux_symbol.is_static_lifetime = true;
  new_aux_symbol.is_file_local = false;
  new_aux_symbol.is_thread_local = false;
 
  new_aux_symbol.value = new_char_array;
 
  const exprt arr = state.rename(new_aux_symbol.symbol_expr(), ns).get();
 
  symex_assign.assign_symbol(
    to_ssa_expr(arr).get_l1_object(), expr_skeletont{}, new_char_array, {});
 
  return new_aux_symbol;
}
 
void goto_symext::associate_array_to_pointer(
  statet &state,
  symex_assignt &symex_assign,
  const array_exprt &new_char_array,
  const address_of_exprt &string_data)
{
  const symbolt &function_symbol =
    ns.lookup(ID_cprover_associate_array_to_pointer_func);
 
  const function_application_exprt array_to_pointer_app{
    function_symbol.symbol_expr(), {new_char_array, string_data}};
 
  symbol_exprt return_symbol_expr =
    get_fresh_aux_symbol(
      to_mathematical_function_type(function_symbol.type).codomain(),
      "",
      "return_value",
      source_locationt(),
      function_symbol.mode,
      ns,
      state.symbol_table)
      .symbol_expr();
 
  const ssa_exprt ssa_expr(return_symbol_expr);
 
  symex_assign.assign_symbol(
    ssa_expr, expr_skeletont{}, array_to_pointer_app, {});
}
 
std::optional<std::reference_wrapper<const array_exprt>>
goto_symext::try_evaluate_constant_string(
  const statet &state,
  const exprt &content)
{
  if(content.id() != ID_symbol)
  {
    return {};
  }
 
  const auto s_pointer_opt =
    state.propagation.find(to_symbol_expr(content).identifier());
 
  if(!s_pointer_opt)
  {
    return {};
  }
 
  return try_get_string_data_array(s_pointer_opt->get(), ns);
}
 
std::optional<std::reference_wrapper<const constant_exprt>>
goto_symext::try_evaluate_constant(const statet &state, const exprt &expr)
{
  if(expr.id() != ID_symbol)
  {
    return {};
  }
 
  const auto constant_expr_opt =
    state.propagation.find(to_symbol_expr(expr).identifier());
 
  if(!constant_expr_opt || !constant_expr_opt->get().is_constant())
  {
    return {};
  }
 
  return std::optional<std::reference_wrapper<const constant_exprt>>(
    to_constant_expr(constant_expr_opt->get()));
}
 
void goto_symext::constant_propagate_empty_string(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const constant_exprt length = from_integer(0, length_type);
 
  const array_typet char_array_type(char_type, length);
 
  DATA_INVARIANT(
    f_l1.arguments().size() >= 2,
    "empty string primitive requires two output arguments");
 
  const array_exprt char_array({}, char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    length,
    to_ssa_expr(f_l1.arguments().at(1)),
    char_array);
}
 
bool goto_symext::constant_propagate_string_concat(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s1 = to_string_expr(f_l1.arguments().at(2));
  const auto s1_data_opt = try_evaluate_constant_string(state, s1.content());
 
  if(!s1_data_opt)
    return false;
 
  const array_exprt &s1_data = s1_data_opt->get();
 
  const refined_string_exprt &s2 = to_string_expr(f_l1.arguments().at(3));
  const auto s2_data_opt = try_evaluate_constant_string(state, s2.content());
 
  if(!s2_data_opt)
    return false;
 
  const array_exprt &s2_data = s2_data_opt->get();
 
  const std::size_t new_size =
    s1_data.operands().size() + s2_data.operands().size();
 
  const constant_exprt new_char_array_length =
    from_integer(new_size, length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands(s1_data.operands());
  operands.insert(
    operands.end(), s2_data.operands().begin(), s2_data.operands().end());
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_string_substring(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  const std::size_t num_operands = f_l1.arguments().size();
 
  PRECONDITION(num_operands >= 4);
  PRECONDITION(num_operands <= 5);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
    return false;
 
  const array_exprt &s_data = s_data_opt->get();
 
  mp_integer end_index;
 
  if(num_operands == 5)
  {
    const auto end_index_expr_opt =
      try_evaluate_constant(state, f_l1.arguments().at(4));
 
    if(!end_index_expr_opt)
    {
      return false;
    }
 
    end_index =
      numeric_cast_v<mp_integer>(to_constant_expr(*end_index_expr_opt));
 
    if(end_index < 0 || end_index > s_data.operands().size())
    {
      return false;
    }
  }
  else
  {
    end_index = s_data.operands().size();
  }
 
  const auto start_index_expr_opt =
    try_evaluate_constant(state, f_l1.arguments().at(3));
 
  if(!start_index_expr_opt)
  {
    return false;
  }
 
  const mp_integer start_index =
    numeric_cast_v<mp_integer>(to_constant_expr(*start_index_expr_opt));
 
  if(start_index < 0 || start_index > end_index)
  {
    return false;
  }
 
  const constant_exprt new_char_array_length =
    from_integer(end_index - start_index, length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands(
    std::next(
      s_data.operands().begin(), numeric_cast_v<std::size_t>(start_index)),
    std::next(
      s_data.operands().begin(), numeric_cast_v<std::size_t>(end_index)));
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_integer_to_string(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  // The function application expression f_l1 takes the following arguments:
  // - result string length (output parameter)
  // - result string data array (output parameter)
  // - integer to convert to a string
  // - radix (optional, default 10)
  const std::size_t num_operands = f_l1.arguments().size();
 
  PRECONDITION(num_operands >= 3);
  PRECONDITION(num_operands <= 4);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const auto &integer_opt =
    try_evaluate_constant(state, f_l1.arguments().at(2));
 
  if(!integer_opt)
  {
    return false;
  }
 
  const mp_integer integer = numeric_cast_v<mp_integer>(integer_opt->get());
 
  unsigned base = 10;
 
  if(num_operands == 4)
  {
    const auto &base_constant_opt =
      try_evaluate_constant(state, f_l1.arguments().at(3));
 
    if(!base_constant_opt)
    {
      return false;
    }
 
    const auto base_opt = numeric_cast<unsigned>(base_constant_opt->get());
 
    if(!base_opt)
    {
      return false;
    }
 
    base = *base_opt;
  }
 
  std::string s = integer2string(integer, base);
 
  const constant_exprt new_char_array_length =
    from_integer(s.length(), length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands;
 
  std::transform(
    s.begin(),
    s.end(),
    std::back_inserter(operands),
    [&char_type](const char c) { return from_integer(tolower(c), char_type); });
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_delete_char_at(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  // The function application expression f_l1 takes the following arguments:
  // - result string length (output parameter)
  // - result string data array (output parameter)
  // - string to delete char from
  // - index of char to delete
  PRECONDITION(f_l1.arguments().size() == 4);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
  {
    return false;
  }
 
  const array_exprt &s_data = s_data_opt->get();
 
  const auto &index_opt = try_evaluate_constant(state, f_l1.arguments().at(3));
 
  if(!index_opt)
  {
    return false;
  }
 
  const mp_integer index = numeric_cast_v<mp_integer>(index_opt->get());
 
  if(index < 0 || index >= s_data.operands().size())
  {
    return false;
  }
 
  const constant_exprt new_char_array_length =
    from_integer(s_data.operands().size() - 1, length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands;
  operands.reserve(s_data.operands().size() - 1);
 
  const std::size_t i = numeric_cast_v<std::size_t>(index);
 
  operands.insert(
    operands.end(),
    s_data.operands().begin(),
    std::next(s_data.operands().begin(), i));
 
  operands.insert(
    operands.end(),
    std::next(s_data.operands().begin(), i + 1),
    s_data.operands().end());
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_delete(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  // The function application expression f_l1 takes the following arguments:
  // - result string length (output parameter)
  // - result string data array (output parameter)
  // - string to delete substring from
  // - index of start of substring to delete (inclusive)
  // - index of end of substring to delete (exclusive)
  PRECONDITION(f_l1.arguments().size() == 5);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
  {
    return false;
  }
 
  const array_exprt &s_data = s_data_opt->get();
 
  const auto &start_opt = try_evaluate_constant(state, f_l1.arguments().at(3));
 
  if(!start_opt)
  {
    return false;
  }
 
  const mp_integer start = numeric_cast_v<mp_integer>(start_opt->get());
 
  if(start < 0 || start > s_data.operands().size())
  {
    return false;
  }
 
  const auto &end_opt = try_evaluate_constant(state, f_l1.arguments().at(4));
 
  if(!end_opt)
  {
    return false;
  }
 
  const mp_integer end = numeric_cast_v<mp_integer>(end_opt->get());
 
  if(start > end)
  {
    return false;
  }
 
  const std::size_t start_index = numeric_cast_v<std::size_t>(start);
 
  const std::size_t end_index =
    std::min(numeric_cast_v<std::size_t>(end), s_data.operands().size());
 
  const std::size_t new_size =
    s_data.operands().size() - end_index + start_index;
 
  const constant_exprt new_char_array_length =
    from_integer(new_size, length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands;
  operands.reserve(new_size);
 
  operands.insert(
    operands.end(),
    s_data.operands().begin(),
    std::next(s_data.operands().begin(), start_index));
 
  operands.insert(
    operands.end(),
    std::next(s_data.operands().begin(), end_index),
    s_data.operands().end());
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_set_length(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  // The function application expression f_l1 takes the following arguments:
  // - result string length (output parameter)
  // - result string data array (output parameter)
  // - current string
  // - new length of the string
  PRECONDITION(f_l1.arguments().size() == 4);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const auto &new_length_opt =
    try_evaluate_constant(state, f_l1.arguments().at(3));
 
  if(!new_length_opt)
  {
    return false;
  }
 
  const mp_integer new_length =
    numeric_cast_v<mp_integer>(new_length_opt->get());
 
  if(new_length < 0)
  {
    return false;
  }
 
  const std::size_t new_size = numeric_cast_v<std::size_t>(new_length);
 
  const constant_exprt new_char_array_length =
    from_integer(new_size, length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  exprt::operandst operands;
 
  if(new_size != 0)
  {
    operands.reserve(new_size);
 
    const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
    const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
    if(!s_data_opt)
    {
      return false;
    }
 
    const array_exprt &s_data = s_data_opt->get();
 
    operands.insert(
      operands.end(),
      s_data.operands().begin(),
      std::next(
        s_data.operands().begin(),
        std::min(new_size, s_data.operands().size())));
 
    operands.insert(
      operands.end(),
      new_size - std::min(new_size, s_data.operands().size()),
      from_integer(0, char_type));
  }
 
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_set_char_at(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  // The function application expression f_l1 takes the following arguments:
  // - result string length (output parameter)
  // - result string data array (output parameter)
  // - current string
  // - index of char to set
  // - new char
  PRECONDITION(f_l1.arguments().size() == 5);
 
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
  {
    return false;
  }
 
  array_exprt s_data = s_data_opt->get();
 
  const auto &index_opt = try_evaluate_constant(state, f_l1.arguments().at(3));
 
  if(!index_opt)
  {
    return false;
  }
 
  const mp_integer index = numeric_cast_v<mp_integer>(index_opt->get());
 
  if(index < 0 || index >= s_data.operands().size())
  {
    return false;
  }
 
  const auto &new_char_opt =
    try_evaluate_constant(state, f_l1.arguments().at(4));
 
  if(!new_char_opt)
  {
    return false;
  }
 
  const constant_exprt new_char_array_length =
    from_integer(s_data.operands().size(), length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
 
  s_data.operands()[numeric_cast_v<std::size_t>(index)] = new_char_opt->get();
 
  const array_exprt new_char_array(
    std::move(s_data.operands()), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_case_change(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1,
  bool to_upper)
{
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
    return false;
 
  array_exprt string_data = s_data_opt->get();
 
  auto &operands = string_data.operands();
  for(auto &operand : operands)
  {
    auto &constant_value = to_constant_expr(operand);
    auto character = numeric_cast_v<unsigned int>(constant_value);
 
    // Can't guarantee matches against non-ASCII characters.
    if(character >= 128)
      return false;
 
    if(isalpha(character))
    {
      if(to_upper)
      {
        if(islower(character))
          constant_value =
            from_integer(toupper(character), constant_value.type());
      }
      else
      {
        if(isupper(character))
          constant_value =
            from_integer(tolower(character), constant_value.type());
      }
    }
  }
 
  const constant_exprt new_char_array_length =
    from_integer(operands.size(), length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
  const array_exprt new_char_array(std::move(operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_replace(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
    return false;
 
  auto &new_data = f_l1.arguments().at(4);
  auto &old_data = f_l1.arguments().at(3);
 
  array_exprt::operandst characters_to_find;
  array_exprt::operandst characters_to_replace;
 
  // Two main ways to perform a replace: characters or strings.
  bool is_single_character = new_data.type().id() == ID_unsignedbv &&
                             old_data.type().id() == ID_unsignedbv;
  if(is_single_character)
  {
    const auto new_char_pointer = try_evaluate_constant(state, new_data);
    const auto old_char_pointer = try_evaluate_constant(state, old_data);
 
    if(!new_char_pointer || !old_char_pointer)
    {
      return {};
    }
 
    characters_to_find.emplace_back(old_char_pointer->get());
    characters_to_replace.emplace_back(new_char_pointer->get());
  }
  else
  {
    auto &new_char_array = to_string_expr(new_data);
    auto &old_char_array = to_string_expr(old_data);
 
    const auto new_char_array_opt =
      try_evaluate_constant_string(state, new_char_array.content());
 
    const auto old_char_array_opt =
      try_evaluate_constant_string(state, old_char_array.content());
 
    if(!new_char_array_opt || !old_char_array_opt)
    {
      return {};
    }
 
    characters_to_find = old_char_array_opt->get().operands();
    characters_to_replace = new_char_array_opt->get().operands();
  }
 
  // Copy data, then do initial search for a replace sequence.
  array_exprt existing_data = s_data_opt->get();
  auto found_pattern = std::search(
    existing_data.operands().begin(),
    existing_data.operands().end(),
    characters_to_find.begin(),
    characters_to_find.end());
 
  // If we've found a match, proceed to perform a replace on all instances.
  while(found_pattern != existing_data.operands().end())
  {
    // Find the difference between our first/last match iterator.
    auto match_end = found_pattern + characters_to_find.size();
 
    // Erase them.
    found_pattern = existing_data.operands().erase(found_pattern, match_end);
 
    // Insert our replacement characters, then move the iterator to the end of
    // our new sequence.
    found_pattern = existing_data.operands().insert(
                      found_pattern,
                      characters_to_replace.begin(),
                      characters_to_replace.end()) +
                    characters_to_replace.size();
 
    // Then search from there for any additional matches.
    found_pattern = std::search(
      found_pattern,
      existing_data.operands().end(),
      characters_to_find.begin(),
      characters_to_find.end());
  }
 
  const constant_exprt new_char_array_length =
    from_integer(existing_data.operands().size(), length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
  const array_exprt new_char_array(
    std::move(existing_data.operands()), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}
 
bool goto_symext::constant_propagate_trim(
  statet &state,
  symex_assignt &symex_assign,
  const function_application_exprt &f_l1)
{
  const auto &f_type = f_l1.function_type();
  const auto &length_type = f_type.domain().at(0);
  const auto &char_type = to_pointer_type(f_type.domain().at(1)).base_type();
 
  const refined_string_exprt &s = to_string_expr(f_l1.arguments().at(2));
  const auto s_data_opt = try_evaluate_constant_string(state, s.content());
 
  if(!s_data_opt)
    return false;
 
  auto is_not_whitespace = [](const exprt &expr) {
    auto character = numeric_cast_v<unsigned int>(to_constant_expr(expr));
    return character > ' ';
  };
 
  // Note the points where a trim would trim too.
  auto &operands = s_data_opt->get().operands();
  auto end_iter =
    std::find_if(operands.rbegin(), operands.rend(), is_not_whitespace);
  auto start_iter =
    std::find_if(operands.begin(), operands.end(), is_not_whitespace);
 
  // Then copy in the string with leading/trailing whitespace removed.
  // Note: if start_iter == operands.end it means the entire string is
  // whitespace, so we'll trim it to be empty anyway.
  exprt::operandst new_operands;
  if(start_iter != operands.end())
    new_operands = exprt::operandst{start_iter, end_iter.base()};
 
  const constant_exprt new_char_array_length =
    from_integer(new_operands.size(), length_type);
 
  const array_typet new_char_array_type(char_type, new_char_array_length);
  const array_exprt new_char_array(
    std::move(new_operands), new_char_array_type);
 
  assign_string_constant(
    state,
    symex_assign,
    to_ssa_expr(f_l1.arguments().at(0)),
    new_char_array_length,
    to_ssa_expr(f_l1.arguments().at(1)),
    new_char_array);
 
  return true;
}