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use crate::analysis::cpa::lattice::JoinSemiLattice;
use crate::analysis::cpa::residue::EmptyResidue;
use crate::analysis::cpa::state::{AbstractState, MergeOutcome, Successor};
use crate::analysis::cpa::{ConfigurableProgramAnalysis, IntoState};
use crate::analysis::varnode_map::VarNodeMap;
use crate::display::JingleDisplay;
use crate::modeling::expression::apply_to_bvs;
use crate::modeling::machine::cpu::concrete::ConcretePcodeAddress;
use jingle_sleigh::{GeneralizedVarNode, PcodeOperation, SleighArchInfo, SpaceType, VarNode};
use std::borrow::Borrow;
use std::cmp::Ordering;
use std::collections::hash_map::DefaultHasher;
use std::fmt::{Display, Formatter, Result as FmtResult};
use std::hash::{Hash, Hasher};
use std::rc::Rc;
// Z3 bitvector support (assume updated API without explicit Context lifetimes)
// Import the `Ast` trait so we can call `simplify()` and `ite()` on AST nodes.
use z3::ast::{Ast, BV};
/// SMT-backed valuation for varnodes:
/// - `Val(BV)` stores an actual bitvector expression
/// - `Load(ptr)` stores the pointer expression used for the load (not the loaded value)
/// - `Top` represents an unknown / unconstrained value
#[derive(Clone, Debug)]
pub enum SmtVal {
Val(BV),
Load(Rc<SmtVal>),
Or(Rc<(SmtVal, SmtVal)>),
Top,
}
impl PartialEq for SmtVal {
fn eq(&self, other: &Self) -> bool {
match (self, other) {
(SmtVal::Top, SmtVal::Top) => true,
(SmtVal::Val(a), SmtVal::Val(b)) => a.to_string() == b.to_string(),
(SmtVal::Load(pa), SmtVal::Load(pb)) => pa == pb,
(SmtVal::Or(a), SmtVal::Or(b)) => a.as_ref() == b.as_ref(),
_ => false,
}
}
}
impl Eq for SmtVal {}
impl Hash for SmtVal {
fn hash<H: Hasher>(&self, state: &mut H) {
match self {
SmtVal::Top => {
"Top".hash(state);
}
SmtVal::Val(bv) => {
bv.to_string().hash(state);
}
SmtVal::Load(inner) => {
"Load".hash(state);
inner.hash(state);
}
SmtVal::Or(pair) => {
"Or".hash(state);
pair.as_ref().0.hash(state);
pair.as_ref().1.hash(state);
}
}
}
}
impl JingleDisplay for SmtVal {
fn fmt_jingle(&self, f: &mut Formatter<'_>, info: &SleighArchInfo) -> std::fmt::Result {
match self {
SmtVal::Top => write!(f, "⊤"),
SmtVal::Val(v) => write!(f, "{}", v),
SmtVal::Load(ptr) => write!(f, "Load({})", ptr.display(info)),
SmtVal::Or(pair) => write!(
f,
"({}||{})",
pair.as_ref().0.display(info),
pair.as_ref().1.display(info)
),
}
}
}
fn simplify_smtval(v: SmtVal) -> SmtVal {
match v {
SmtVal::Val(bv) => {
// simplify the BV AST using Z3's simplify
let s = bv.simplify();
SmtVal::Val(s)
}
SmtVal::Load(ptr) => {
// recursively simplify the inner pointer expression
let inner = simplify_smtval((*ptr).clone());
SmtVal::Load(Rc::new(inner))
}
SmtVal::Or(pair) => {
// simplify both sides of the Or
let left_s = simplify_smtval(pair.0.clone());
let right_s = simplify_smtval(pair.1.clone());
// Collect flattened non-Or parts from nested Ors.
fn collect_parts(e: SmtVal, out: &mut Vec<SmtVal>) {
match e {
SmtVal::Or(p) => {
// p.0 and p.1 are owned SmtVal; recurse into them
let l = p.0.clone();
let r = p.1.clone();
collect_parts(l, out);
collect_parts(r, out);
}
other => out.push(other),
}
}
let mut parts: Vec<SmtVal> = Vec::new();
collect_parts(left_s, &mut parts);
collect_parts(right_s, &mut parts);
// Deduplicate while preserving order.
let mut uniq: Vec<SmtVal> = Vec::new();
'outer: for p in parts {
for q in &uniq {
if p == *q {
continue 'outer;
}
}
uniq.push(p);
}
// Collapse according to the number of unique parts.
match uniq.len() {
0 => SmtVal::Top, // defensive: shouldn't happen, but be conservative
1 => uniq.into_iter().next().unwrap(),
_ => {
// Fold into a left-associative chain of Ors.
let mut iter = uniq.into_iter();
let first = iter.next().unwrap();
let mut acc = first;
for item in iter {
acc = SmtVal::Or(Rc::new((acc, item)));
}
acc
}
}
}
SmtVal::Top => SmtVal::Top,
}
}
// Reuse the `MergeBehavior` defined by the simple valuation module so both analyses share the same enum.
use crate::analysis::valuation::MergeBehavior;
/// State for the SMT-backed direct valuation CPA.
#[derive(Debug, Clone, Eq, PartialEq)]
pub struct SmtValuationState {
written_locations: VarNodeMap<SmtVal>,
/// Cache of entry (initial) bitvector variables for varnodes that haven't been written to.
entry_cache: VarNodeMap<BV>,
/// Cache of the deterministic names used for entry variables so we always create a
/// `BV` with the same name for the same `VarNode` (prevents duplicate `fresh_const` variants).
name_cache: VarNodeMap<String>,
arch_info: SleighArchInfo,
merge_behavior: MergeBehavior,
/// Small (u16) identifier used to disambiguate entry variables coming from different
/// analysis invocations / starting states. This value is preserved across `clone`.
id: u16,
// Use Z3's deterministic-named constants to avoid duplicate hints becoming different fresh symbols.
}
impl SmtValuationState {
// No local fresh_name helper: we use Z3's `fresh_const` APIs to obtain unique names.
/// Return an `SmtVal` for a varnode: constants -> `Val(BV)`, written locations -> stored valuation,
/// otherwise create/reuse a named entry `BV`.
fn get_valuation_or_entry(&mut self, vn: &VarNode) -> SmtVal {
// Constant literal -> concrete BV
if vn.space_index == VarNode::CONST_SPACE_INDEX {
let bits = (vn.size * 8) as u32;
return SmtVal::Val(BV::from_u64(vn.offset, bits));
}
// If we've written to this location, return stored valuation
if let Some(v) = self.written_locations.get(vn) {
return v.clone();
}
// Otherwise, return (or create) a named BV representing the entry value
if let Some(cached) = self.entry_cache.get(vn) {
return SmtVal::Val(cached.clone());
}
let display_str = format!("{}", vn.display(&self.arch_info));
let sanitized = display_str.replace(' ', "_");
// Include the state's unique id in the entry variable name to avoid collisions
// between different analysis invocations / starting states.
let base = format!("entry_{}_{}", sanitized, self.id);
let bits = (vn.size * 8) as u32;
// If we already chose a deterministic name for this VarNode, reuse it and create a BV
// with that name (so we consistently refer to the same symbol across the analysis).
if let Some(name) = self.name_cache.get(vn) {
let bv = BV::new_const(name.as_str(), bits);
self.entry_cache.insert(vn.clone(), bv.clone());
return SmtVal::Val(bv);
}
// Otherwise, pick a deterministic name (based on the varnode display) and remember it.
// Use `new_const` with this deterministic name so future requests for the same varnode
// produce a BV with the same printed name (avoids duplicate hints getting different `!n` suffixes).
let chosen_name = base;
self.name_cache.insert(vn.clone(), chosen_name.clone());
let bv = BV::new_const(chosen_name.as_str(), bits);
self.entry_cache.insert(vn.clone(), bv.clone());
SmtVal::Val(bv)
}
pub fn new(arch_info: SleighArchInfo) -> Self {
// Derive a compact u16 id from the arch info so states get an identifier even when
// created via this constructor. This id will persist through clone.
let mut hasher = DefaultHasher::new();
arch_info.hash(&mut hasher);
let id = (hasher.finish() & 0xffff) as u16;
Self {
written_locations: VarNodeMap::new(),
entry_cache: VarNodeMap::new(),
name_cache: VarNodeMap::new(),
arch_info,
merge_behavior: MergeBehavior::Or,
id,
}
}
pub fn new_with_behavior(arch_info: SleighArchInfo, merge_behavior: MergeBehavior) -> Self {
// Derive a compact u16 id from the arch info so states get an identifier even when
// created via this constructor. This id will persist through clone.
let mut hasher = DefaultHasher::new();
arch_info.hash(&mut hasher);
let id = (hasher.finish() & 0xffff) as u16;
Self {
written_locations: VarNodeMap::new(),
entry_cache: VarNodeMap::new(),
name_cache: VarNodeMap::new(),
arch_info,
merge_behavior,
id,
}
}
pub fn get_value(&self, varnode: &VarNode) -> Option<&SmtVal> {
self.written_locations.get(varnode)
}
pub fn written_locations(&self) -> &VarNodeMap<SmtVal> {
&self.written_locations
}
/// Transfer function: build SMT BV valuations for pcode operations.
/// Loads are represented as `SmtVal::Load(pointer_expr)` rather than the loaded value.
fn transfer_impl(&self, op: &PcodeOperation) -> Self {
// Clone self to build a new state (functional update).
let mut new_state = self.clone();
if let Some(output) = op.output() {
let inputs = op.inputs().iter().flat_map(|vn| {
match vn{
GeneralizedVarNode::Direct(vn) => {
match self.get_valuation_or_entry(vn){
SmtVal::Val(bv) => todo!(),
SmtVal::Load(smt_val) => todo!(),
SmtVal::Or(_) => todo!(),
SmtVal::Top => todo!(),
}
},
GeneralizedVarNode::Indirect(_) => None,
}
});
apply_to_bvs(op, inputs)
}
if let Some(output) = op.output() {
match output {
GeneralizedVarNode::Direct(output_vn) => {
let result_val = match op {
// Copy
PcodeOperation::Copy { input, .. } => {
if input.space_index == VarNode::CONST_SPACE_INDEX {
SmtVal::Val(BV::from_u64(input.offset, (input.size * 8) as u32))
} else {
new_state.get_valuation_or_entry(input)
}
}
// Arithmetic
PcodeOperation::IntAdd { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvadd(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntSub { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvsub(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntMult { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvmul(&b)),
_ => SmtVal::Top,
}
}
// Bitwise operations
PcodeOperation::IntAnd { input0, input1, .. }
| PcodeOperation::BoolAnd { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvand(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntXor { input0, input1, .. }
| PcodeOperation::BoolXor { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvxor(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntOr { input0, input1, .. }
| PcodeOperation::BoolOr { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvor(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntLeftShift { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvshl(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntRightShift { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvlshr(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntSignedRightShift { input0, input1, .. } => {
let a = new_state.get_valuation_or_entry(input0);
let b = new_state.get_valuation_or_entry(input1);
match (a, b) {
(SmtVal::Val(a), SmtVal::Val(b)) => SmtVal::Val(a.bvashr(&b)),
_ => SmtVal::Top,
}
}
PcodeOperation::IntNegate { input, .. } => {
let a = new_state.get_valuation_or_entry(input);
match a {
SmtVal::Val(a) => {
let bits = a.get_size();
let zero = BV::from_u64(0, bits);
SmtVal::Val(zero.bvsub(&a))
}
_ => SmtVal::Top,
}
}
PcodeOperation::Int2Comp { input, .. } => {
let a = new_state.get_valuation_or_entry(input);
match a {
SmtVal::Val(a) => SmtVal::Val(a.bvnot()),
_ => SmtVal::Top,
}
}
// Load - store the pointer expression (do NOT load the value here)
PcodeOperation::Load { input, .. } => {
let ptr = &input.pointer_location;
let pv = if ptr.space_index == VarNode::CONST_SPACE_INDEX {
SmtVal::Val(BV::from_u64(ptr.offset, (ptr.size * 8) as u32))
} else {
new_state.get_valuation_or_entry(ptr)
};
SmtVal::Load(Rc::new(pv))
}
// Casts/extensions - preserve symbolic value via BV ops
PcodeOperation::IntSExt { input, .. }
| PcodeOperation::IntZExt { input, .. } => {
let a = new_state.get_valuation_or_entry(input);
match a {
SmtVal::Val(a) => {
let in_bits = a.get_size();
let out_bits = (output_vn.size * 8) as u32;
if out_bits >= in_bits {
let ext = out_bits - in_bits;
if matches!(op, PcodeOperation::IntSExt { .. }) {
SmtVal::Val(a.sign_ext(ext))
} else {
SmtVal::Val(a.zero_ext(ext))
}
} else {
// Truncate by extracting low bits
SmtVal::Val(a.extract(out_bits - 1, 0))
}
}
_ => SmtVal::Top,
}
}
// Default: be conservative and mark as Top
_ => SmtVal::Top,
};
// Insert the computed (or Top) value into written_locations;
// simplify the SMT AST first to keep expressions reduced.
let simplified = simplify_smtval(result_val);
new_state
.written_locations
.insert(output_vn.clone(), simplified);
}
GeneralizedVarNode::Indirect(_) => {
// Indirect writes are not tracked by this CPA.
}
}
}
// Clear internal-space varnodes on control-flow to non-const destinations (same policy)
match op {
PcodeOperation::Branch { input } | PcodeOperation::CBranch { input0: input, .. } => {
if input.space_index != VarNode::CONST_SPACE_INDEX {
// VarNodeMap doesn't provide `retain`; collect keys to remove and remove them.
let mut to_remove: Vec<VarNode> = Vec::new();
for (vn, _) in new_state.written_locations.iter() {
let keep = self
.arch_info
.get_space(vn.space_index)
.map(|space| space._type != SpaceType::IPTR_INTERNAL)
.unwrap_or(true);
if !keep {
to_remove.push(vn.clone());
}
}
for k in to_remove {
new_state.written_locations.remove(&k);
}
}
}
PcodeOperation::BranchInd { .. } | PcodeOperation::CallInd { .. } => {
// Similar retain behavior as above for branch-indirect.
let mut to_remove: Vec<VarNode> = Vec::new();
for (vn, _) in new_state.written_locations.iter() {
let keep = self
.arch_info
.get_space(vn.space_index)
.map(|space| space._type != SpaceType::IPTR_INTERNAL)
.unwrap_or(true);
if !keep {
to_remove.push(vn.clone());
}
}
for k in to_remove {
new_state.written_locations.remove(&k);
}
}
_ => {}
}
new_state
}
}
impl Hash for SmtValuationState {
fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
// `VarNodeMap` stores keys in sorted order; iterate deterministically.
for (vn, val) in self.written_locations.iter() {
vn.hash(state);
val.hash(state);
}
// include merge behavior and arch info in the hash
self.merge_behavior.hash(state);
self.arch_info.hash(state);
}
}
impl PartialOrd for SmtVal {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
if self == other {
Some(Ordering::Equal)
} else {
None
}
}
}
impl JoinSemiLattice for SmtVal {
fn join(&mut self, _other: &Self) {}
}
impl PartialOrd for SmtValuationState {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
// Make states comparable only when they have the same keys and identical valuations.
if self.written_locations.len() != other.written_locations.len() {
return None;
}
for (key, val) in self.written_locations.iter() {
match other.written_locations.get(key) {
Some(other_val) => {
if val != other_val {
return None;
}
}
None => return None,
}
}
Some(Ordering::Equal)
}
}
impl JoinSemiLattice for SmtValuationState {
fn join(&mut self, other: &Self) {
// For each varnode present in `other`:
// - if present in self with same valuation -> keep
// - if present in self with different valuation -> combine according to merge_behavior
// - if absent in self -> clone from other
for (key, other_val) in other.written_locations.iter() {
match self.written_locations.get_mut(key) {
Some(my_val) => {
if my_val == &SmtVal::Top || other_val == &SmtVal::Top {
*my_val = SmtVal::Top;
} else if my_val != other_val {
match self.merge_behavior {
MergeBehavior::Or => {
// Prefer to create an ite selector when both are `Val`.
// If both are `Load(...)`, merge inner pointer expressions into a
// single `Load(Or(...))` so we don't create an `Or(Load(...), Load(...))`
// which later simplifies less effectively.
let combined = {
// `my_val` is `&mut SmtVal`, `other_val` is `&SmtVal`.
// Match on their referenced forms to avoid moving out of borrows.
match (&*my_val, other_val) {
(SmtVal::Load(a_rc), SmtVal::Load(b_rc)) => {
// a_rc and b_rc are &Rc<SmtVal>; obtain owned inner SmtVal clones
let a_inner = (*a_rc).as_ref().clone();
let b_inner = (*b_rc).as_ref().clone();
let inner_or = SmtVal::Or(Rc::new((a_inner, b_inner)));
SmtVal::Load(Rc::new(inner_or))
}
_ => {
// Fallback: create a symbolic Or of the two full values.
// Clone the owned values rather than trying to move them.
SmtVal::Or(Rc::new((
(*my_val).clone(),
other_val.clone(),
)))
}
}
};
*my_val = simplify_smtval(combined);
}
MergeBehavior::Top => {
*my_val = SmtVal::Top;
}
}
}
}
None => {
self.written_locations
.insert(key.clone(), other_val.clone());
}
}
}
}
}
impl AbstractState for SmtValuationState {
fn merge(&mut self, other: &Self) -> MergeOutcome {
self.merge_join(other)
}
fn stop<'a, T: Iterator<Item = &'a Self>>(&'a self, states: T) -> bool {
self.stop_sep(states)
}
fn transfer<'a, B: Borrow<PcodeOperation>>(&'a self, opcode: B) -> Successor<'a, Self> {
let next_state = self.transfer_impl(opcode.borrow());
std::iter::once(next_state).into()
}
}
impl Display for SmtValuationState {
fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult {
let mut hasher = DefaultHasher::new();
self.hash(&mut hasher);
let hash_value = hasher.finish();
write!(f, "Hash({:016x})", hash_value)
}
}
impl JingleDisplay for SmtValuationState {
fn fmt_jingle(&self, f: &mut Formatter<'_>, info: &SleighArchInfo) -> std::fmt::Result {
// Render the written locations in a concise form using the Sleigh arch display context.
write!(f, "SmtValuationState {{")?;
let mut first = true;
for (vn, val) in self.written_locations.iter() {
if !first {
write!(f, ", ")?;
}
first = false;
// Use the JingleDisplay implementations for VarNode and SmtVal
write!(f, "{} = {}", vn.display(info), val.display(info))?;
}
write!(f, "}}")?;
Ok(())
}
}
pub struct SmtValuationAnalysis {
arch_info: SleighArchInfo,
/// Default merge behavior for states produced by this analysis.
merge_behavior: MergeBehavior,
}
impl SmtValuationAnalysis {
/// Create with the default merge behavior (`Or`).
pub fn new(arch_info: SleighArchInfo, merge_behavior: MergeBehavior) -> Self {
Self {
arch_info,
merge_behavior,
}
}
}
impl ConfigurableProgramAnalysis for SmtValuationAnalysis {
type State = SmtValuationState;
type Reducer<'op> = EmptyResidue<Self::State>;
}
impl IntoState<SmtValuationAnalysis> for ConcretePcodeAddress {
fn into_state(
self,
c: &SmtValuationAnalysis,
) -> <SmtValuationAnalysis as ConfigurableProgramAnalysis>::State {
// Compute a compact u16 id derived from the concrete address and analysis arch info.
// This gives each starting state a small unique identifier that will be preserved when cloned.
let mut hasher = DefaultHasher::new();
self.hash(&mut hasher);
c.arch_info.hash(&mut hasher);
let id = (hasher.finish() & 0xffff) as u16;
SmtValuationState {
written_locations: VarNodeMap::new(),
entry_cache: VarNodeMap::new(),
name_cache: VarNodeMap::new(),
arch_info: c.arch_info.clone(),
merge_behavior: c.merge_behavior,
id,
}
}
}