torsh-jit 0.1.3

//! Abstract Domain Implementations
//!
//! This module provides concrete implementations of various abstract domains
//! used in static analysis and abstract interpretation, including intervals,
//! signs, constants, polyhedra, and octagons.

use crate::{JitError, JitResult};
use std::fmt::Debug;

/// Types of abstract domains
#[derive(Debug, Clone)]
pub enum AbstractDomainType {
    Intervals,
    Signs,
    Constants,
    Polyhedra,
    Octagons,
}

/// Abstract values in different domains
#[derive(Debug, Clone)]
pub enum AbstractValue {
    Interval { min: f64, max: f64 },
    Sign(SignValue),
    Constant(ConstantValue),
    Polyhedron(Vec<LinearConstraint>),
    Octagon(OctagonConstraints),
}

impl AbstractValue {
    /// Calculate precision of an abstract value
    ///
    /// Returns a value between 0.0 (least precise) and 1.0 (most precise)
    pub fn precision(&self) -> f64 {
        match self {
            AbstractValue::Interval { min, max } => {
                if min == max {
                    1.0
                } else if max.is_infinite() || min.is_infinite() {
                    0.0
                } else {
                    1.0 / (max - min + 1.0)
                }
            }
            AbstractValue::Constant(ConstantValue::Value(_)) => 1.0,
            AbstractValue::Constant(ConstantValue::Top) => 0.0,
            AbstractValue::Sign(SignValue::Zero) => 1.0,
            AbstractValue::Sign(SignValue::Top) => 0.0,
            _ => 0.5,
        }
    }

    /// Check if the abstract value represents a constant
    pub fn is_constant(&self) -> bool {
        matches!(
            self,
            AbstractValue::Interval { min, max } if min == max
        ) || matches!(self, AbstractValue::Constant(ConstantValue::Value(_)))
            || matches!(self, AbstractValue::Sign(SignValue::Zero))
    }
}

/// Sign values for sign domain
#[derive(Debug, Clone, PartialEq)]
pub enum SignValue {
    Bottom,
    Zero,
    Positive,
    Negative,
    NonPositive,
    NonNegative,
    Top,
}

/// Constant values for constant domain
#[derive(Debug, Clone, PartialEq)]
pub enum ConstantValue {
    Bottom,
    Value(f64),
    Top,
}

/// Linear constraints for polyhedral domain
#[derive(Debug, Clone)]
pub enum LinearConstraint {
    True,
    False,
    LessEqual(Vec<f64>, f64), // coefficients and constant
}

/// Octagon constraints representation
#[derive(Debug, Clone)]
pub struct OctagonConstraints {
    /// Difference bound matrix
    pub dbm: Vec<Vec<f64>>,
    /// Variable count
    pub var_count: usize,
}

impl OctagonConstraints {
    pub fn new(var_count: usize) -> Self {
        let size = 2 * var_count;
        Self {
            dbm: vec![vec![f64::INFINITY; size]; size],
            var_count,
        }
    }
}

/// Binary abstract operations
#[derive(Debug, Clone, Copy)]
pub enum BinaryAbstractOp {
    Add,
    Sub,
    Mul,
    Div,
    Mod,
    Equal,
    NotEqual,
    Less,
    LessEqual,
    Greater,
    GreaterEqual,
}

/// Unary abstract operations
#[derive(Debug, Clone, Copy)]
pub enum UnaryAbstractOp {
    Neg,
    Abs,
    Sqrt,
    Sin,
    Cos,
    Exp,
    Log,
}

/// Abstract domain trait defining the mathematical structure
///
/// This trait provides the fundamental operations required for abstract interpretation:
/// lattice operations (join, meet), fixpoint acceleration (widening, narrowing),
/// and abstract semantics for operations.
pub trait AbstractDomain: Debug {
    /// Bottom element (⊥) - represents the empty set
    fn bottom(&self) -> AbstractValue;

    /// Top element (⊤) - represents the universal set
    fn top(&self) -> AbstractValue;

    /// Join operation (⊔) - least upper bound (union)
    fn join(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue>;

    /// Meet operation (⊓) - greatest lower bound (intersection)
    fn meet(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue>;

    /// Widening operation (∇) - accelerates convergence in fixpoint computation
    fn widen(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue>;

    /// Narrowing operation (△) - improves precision after widening
    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue>;

    /// Partial order (⊑) - checks if first value is more precise than second
    fn less_equal(&self, a: &AbstractValue, b: &AbstractValue) -> bool;

    /// Abstract semantics for binary operations
    fn abstract_binary_op(
        &self,
        op: BinaryAbstractOp,
        left: &AbstractValue,
        right: &AbstractValue,
    ) -> JitResult<AbstractValue>;

    /// Abstract semantics for unary operations
    fn abstract_unary_op(
        &self,
        op: UnaryAbstractOp,
        operand: &AbstractValue,
    ) -> JitResult<AbstractValue>;

    /// Lift concrete value to abstract domain
    fn lift_constant(&self, value: f64) -> JitResult<AbstractValue>;

    /// Concretize abstract value (if possible)
    fn concretize(&self, value: &AbstractValue) -> Option<Vec<f64>>;
}

/// Factory for creating abstract domains
pub struct AbstractDomainFactory;

impl AbstractDomainFactory {
    pub fn new() -> Self {
        Self
    }

    /// Create a domain instance based on the domain type
    pub fn create_domain(&self, domain_type: &AbstractDomainType) -> Box<dyn AbstractDomain> {
        match domain_type {
            AbstractDomainType::Intervals => Box::new(IntervalDomain::new()),
            AbstractDomainType::Signs => Box::new(SignDomain::new()),
            AbstractDomainType::Constants => Box::new(ConstantDomain::new()),
            AbstractDomainType::Polyhedra => Box::new(PolyhedralDomain::new()),
            AbstractDomainType::Octagons => Box::new(OctagonDomain::new()),
        }
    }
}

impl Default for AbstractDomainFactory {
    fn default() -> Self {
        Self::new()
    }
}

/// Interval domain implementation
///
/// Represents values as intervals [min, max] providing a balance between
/// precision and computational efficiency for numerical analysis.
#[derive(Debug)]
pub struct IntervalDomain;

impl IntervalDomain {
    pub fn new() -> Self {
        Self
    }
}

impl Default for IntervalDomain {
    fn default() -> Self {
        Self::new()
    }
}

impl AbstractDomain for IntervalDomain {
    fn bottom(&self) -> AbstractValue {
        AbstractValue::Interval {
            min: f64::INFINITY,
            max: f64::NEG_INFINITY,
        }
    }

    fn top(&self) -> AbstractValue {
        AbstractValue::Interval {
            min: f64::NEG_INFINITY,
            max: f64::INFINITY,
        }
    }

    fn join(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (
                AbstractValue::Interval {
                    min: min1,
                    max: max1,
                },
                AbstractValue::Interval {
                    min: min2,
                    max: max2,
                },
            ) => Ok(AbstractValue::Interval {
                min: min1.min(*min2),
                max: max1.max(*max2),
            }),
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in interval join".to_string(),
            )),
        }
    }

    fn meet(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (
                AbstractValue::Interval {
                    min: min1,
                    max: max1,
                },
                AbstractValue::Interval {
                    min: min2,
                    max: max2,
                },
            ) => {
                let new_min = min1.max(*min2);
                let new_max = max1.min(*max2);
                if new_min <= new_max {
                    Ok(AbstractValue::Interval {
                        min: new_min,
                        max: new_max,
                    })
                } else {
                    Ok(self.bottom())
                }
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in interval meet".to_string(),
            )),
        }
    }

    fn widen(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (
                AbstractValue::Interval {
                    min: min1,
                    max: max1,
                },
                AbstractValue::Interval {
                    min: min2,
                    max: max2,
                },
            ) => {
                let new_min = if min2 < min1 {
                    f64::NEG_INFINITY
                } else {
                    *min1
                };
                let new_max = if max2 > max1 { f64::INFINITY } else { *max1 };
                Ok(AbstractValue::Interval {
                    min: new_min,
                    max: new_max,
                })
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in interval widening".to_string(),
            )),
        }
    }

    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        // For intervals, narrowing is typically the meet operation
        self.meet(a, b)
    }

    fn less_equal(&self, a: &AbstractValue, b: &AbstractValue) -> bool {
        match (a, b) {
            (
                AbstractValue::Interval {
                    min: min1,
                    max: max1,
                },
                AbstractValue::Interval {
                    min: min2,
                    max: max2,
                },
            ) => min2 <= min1 && max1 <= max2,
            _ => false,
        }
    }

    fn abstract_binary_op(
        &self,
        op: BinaryAbstractOp,
        left: &AbstractValue,
        right: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match (left, right) {
            (
                AbstractValue::Interval {
                    min: min1,
                    max: max1,
                },
                AbstractValue::Interval {
                    min: min2,
                    max: max2,
                },
            ) => {
                match op {
                    BinaryAbstractOp::Add => Ok(AbstractValue::Interval {
                        min: min1 + min2,
                        max: max1 + max2,
                    }),
                    BinaryAbstractOp::Sub => Ok(AbstractValue::Interval {
                        min: min1 - max2,
                        max: max1 - min2,
                    }),
                    BinaryAbstractOp::Mul => {
                        let products = [min1 * min2, min1 * max2, max1 * min2, max1 * max2];
                        Ok(AbstractValue::Interval {
                            min: products.iter().fold(f64::INFINITY, |a, &b| a.min(b)),
                            max: products.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b)),
                        })
                    }
                    BinaryAbstractOp::Div => {
                        if *min2 <= 0.0 && 0.0 <= *max2 {
                            // Division by interval containing zero
                            Ok(self.top())
                        } else {
                            let quotients = [min1 / min2, min1 / max2, max1 / min2, max1 / max2];
                            Ok(AbstractValue::Interval {
                                min: quotients.iter().fold(f64::INFINITY, |a, &b| a.min(b)),
                                max: quotients.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b)),
                            })
                        }
                    }
                    _ => Ok(self.top()), // Conservative approximation for other operations
                }
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in interval binary operation".to_string(),
            )),
        }
    }

    fn abstract_unary_op(
        &self,
        op: UnaryAbstractOp,
        operand: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match operand {
            AbstractValue::Interval { min, max } => {
                match op {
                    UnaryAbstractOp::Neg => Ok(AbstractValue::Interval {
                        min: -max,
                        max: -min,
                    }),
                    UnaryAbstractOp::Abs => {
                        if *min >= 0.0 {
                            Ok(AbstractValue::Interval {
                                min: *min,
                                max: *max,
                            })
                        } else if *max <= 0.0 {
                            Ok(AbstractValue::Interval {
                                min: -max,
                                max: -min,
                            })
                        } else {
                            Ok(AbstractValue::Interval {
                                min: 0.0,
                                max: min.abs().max(max.abs()),
                            })
                        }
                    }
                    _ => Ok(self.top()), // Conservative approximation for other operations
                }
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in interval unary operation".to_string(),
            )),
        }
    }

    fn lift_constant(&self, value: f64) -> JitResult<AbstractValue> {
        Ok(AbstractValue::Interval {
            min: value,
            max: value,
        })
    }

    fn concretize(&self, value: &AbstractValue) -> Option<Vec<f64>> {
        match value {
            AbstractValue::Interval { min, max } => {
                if min == max {
                    Some(vec![*min])
                } else {
                    None // Cannot concretize non-singleton intervals
                }
            }
            _ => None,
        }
    }
}

/// Sign domain implementation
///
/// Tracks the sign of values (positive, negative, zero, or combinations)
/// providing efficient analysis for sign-related properties.
#[derive(Debug)]
pub struct SignDomain;

impl SignDomain {
    pub fn new() -> Self {
        Self
    }
}

impl Default for SignDomain {
    fn default() -> Self {
        Self::new()
    }
}

impl AbstractDomain for SignDomain {
    fn bottom(&self) -> AbstractValue {
        AbstractValue::Sign(SignValue::Bottom)
    }

    fn top(&self) -> AbstractValue {
        AbstractValue::Sign(SignValue::Top)
    }

    fn join(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (AbstractValue::Sign(s1), AbstractValue::Sign(s2)) => {
                let result = self.join_sign_values(s1, s2);
                Ok(AbstractValue::Sign(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in sign join".to_string(),
            )),
        }
    }

    fn meet(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (AbstractValue::Sign(s1), AbstractValue::Sign(s2)) => {
                let result = self.meet_sign_values(s1, s2);
                Ok(AbstractValue::Sign(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in sign meet".to_string(),
            )),
        }
    }

    fn widen(&self, a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // For sign domain, widening is typically the same as join
        // since the domain is finite
        Ok(a.clone())
    }

    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        self.meet(a, b)
    }

    fn less_equal(&self, a: &AbstractValue, b: &AbstractValue) -> bool {
        match (a, b) {
            (AbstractValue::Sign(s1), AbstractValue::Sign(s2)) => self.sign_less_equal(s1, s2),
            _ => false,
        }
    }

    fn abstract_binary_op(
        &self,
        op: BinaryAbstractOp,
        left: &AbstractValue,
        right: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match (left, right) {
            (AbstractValue::Sign(s1), AbstractValue::Sign(s2)) => {
                let result = match op {
                    BinaryAbstractOp::Add => self.add_sign_values(s1, s2),
                    BinaryAbstractOp::Sub => self.sub_sign_values(s1, s2),
                    BinaryAbstractOp::Mul => self.mul_sign_values(s1, s2),
                    BinaryAbstractOp::Div => self.div_sign_values(s1, s2),
                    _ => SignValue::Top, // Conservative for comparisons
                };
                Ok(AbstractValue::Sign(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in sign binary operation".to_string(),
            )),
        }
    }

    fn abstract_unary_op(
        &self,
        op: UnaryAbstractOp,
        operand: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match operand {
            AbstractValue::Sign(s) => {
                let result = match op {
                    UnaryAbstractOp::Neg => self.neg_sign_value(s),
                    UnaryAbstractOp::Abs => self.abs_sign_value(s),
                    _ => SignValue::Top, // Conservative for other operations
                };
                Ok(AbstractValue::Sign(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in sign unary operation".to_string(),
            )),
        }
    }

    fn lift_constant(&self, value: f64) -> JitResult<AbstractValue> {
        let sign = if value > 0.0 {
            SignValue::Positive
        } else if value < 0.0 {
            SignValue::Negative
        } else {
            SignValue::Zero
        };
        Ok(AbstractValue::Sign(sign))
    }

    fn concretize(&self, value: &AbstractValue) -> Option<Vec<f64>> {
        match value {
            AbstractValue::Sign(SignValue::Zero) => Some(vec![0.0]),
            _ => None, // Cannot concretize non-singleton sign values
        }
    }
}

impl SignDomain {
    fn join_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        use SignValue::*;
        match (s1, s2) {
            (Bottom, s) | (s, Bottom) => s.clone(),
            (Top, _) | (_, Top) => Top,
            (s1, s2) if s1 == s2 => s1.clone(),
            (Zero, Positive) | (Positive, Zero) => NonNegative,
            (Zero, Negative) | (Negative, Zero) => NonPositive,
            (Positive, Negative) | (Negative, Positive) => Top,
            (NonPositive, Positive) | (Positive, NonPositive) => Top,
            (NonNegative, Negative) | (Negative, NonNegative) => Top,
            (NonPositive, NonNegative) | (NonNegative, NonPositive) => Top,
            _ => Top,
        }
    }

    fn meet_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        use SignValue::*;
        match (s1, s2) {
            (Top, s) | (s, Top) => s.clone(),
            (Bottom, _) | (_, Bottom) => Bottom,
            (s1, s2) if s1 == s2 => s1.clone(),
            (NonNegative, Positive) | (Positive, NonNegative) => Positive,
            (NonNegative, Zero) | (Zero, NonNegative) => Zero,
            (NonPositive, Negative) | (Negative, NonPositive) => Negative,
            (NonPositive, Zero) | (Zero, NonPositive) => Zero,
            _ => Bottom,
        }
    }

    fn sign_less_equal(&self, s1: &SignValue, s2: &SignValue) -> bool {
        use SignValue::*;
        match (s1, s2) {
            (Bottom, _) => true,
            (_, Top) => true,
            (s1, s2) if s1 == s2 => true,
            (Zero, NonNegative) | (Zero, NonPositive) => true,
            (Positive, NonNegative) => true,
            (Negative, NonPositive) => true,
            _ => false,
        }
    }

    fn add_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        use SignValue::*;
        match (s1, s2) {
            (Bottom, _) | (_, Bottom) => Bottom,
            (Top, _) | (_, Top) => Top,
            (Zero, s) | (s, Zero) => s.clone(),
            (Positive, Positive) => Positive,
            (Negative, Negative) => Negative,
            (Positive, Negative) | (Negative, Positive) => Top,
            _ => Top,
        }
    }

    fn sub_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        let neg_s2 = self.neg_sign_value(s2);
        self.add_sign_values(s1, &neg_s2)
    }

    fn mul_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        use SignValue::*;
        match (s1, s2) {
            (Bottom, _) | (_, Bottom) => Bottom,
            (Top, _) | (_, Top) => Top,
            (Zero, _) | (_, Zero) => Zero,
            (Positive, Positive) | (Negative, Negative) => Positive,
            (Positive, Negative) | (Negative, Positive) => Negative,
            _ => Top,
        }
    }

    fn div_sign_values(&self, s1: &SignValue, s2: &SignValue) -> SignValue {
        use SignValue::*;
        match (s1, s2) {
            (Bottom, _) | (_, Bottom) => Bottom,
            (_, Zero) => Bottom, // Division by zero
            (Zero, _) => Zero,
            _ => self.mul_sign_values(s1, s2), // Same rules as multiplication for non-zero
        }
    }

    fn neg_sign_value(&self, s: &SignValue) -> SignValue {
        use SignValue::*;
        match s {
            Bottom => Bottom,
            Top => Top,
            Zero => Zero,
            Positive => Negative,
            Negative => Positive,
            NonPositive => NonNegative,
            NonNegative => NonPositive,
        }
    }

    fn abs_sign_value(&self, s: &SignValue) -> SignValue {
        use SignValue::*;
        match s {
            Bottom => Bottom,
            Top => NonNegative,
            Zero => Zero,
            Positive => Positive,
            Negative => Positive,
            NonPositive => NonNegative,
            NonNegative => NonNegative,
        }
    }
}

/// Constant domain implementation
///
/// Tracks exact constant values, providing maximum precision for
/// constants while using Top for non-constant values.
#[derive(Debug)]
pub struct ConstantDomain;

impl ConstantDomain {
    pub fn new() -> Self {
        Self
    }
}

impl Default for ConstantDomain {
    fn default() -> Self {
        Self::new()
    }
}

impl AbstractDomain for ConstantDomain {
    fn bottom(&self) -> AbstractValue {
        AbstractValue::Constant(ConstantValue::Bottom)
    }

    fn top(&self) -> AbstractValue {
        AbstractValue::Constant(ConstantValue::Top)
    }

    fn join(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (AbstractValue::Constant(c1), AbstractValue::Constant(c2)) => {
                let result = match (c1, c2) {
                    (ConstantValue::Bottom, c) | (c, ConstantValue::Bottom) => c.clone(),
                    (ConstantValue::Top, _) | (_, ConstantValue::Top) => ConstantValue::Top,
                    (ConstantValue::Value(v1), ConstantValue::Value(v2)) => {
                        if v1 == v2 {
                            ConstantValue::Value(*v1)
                        } else {
                            ConstantValue::Top
                        }
                    }
                };
                Ok(AbstractValue::Constant(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in constant join".to_string(),
            )),
        }
    }

    fn meet(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        match (a, b) {
            (AbstractValue::Constant(c1), AbstractValue::Constant(c2)) => {
                let result = match (c1, c2) {
                    (ConstantValue::Top, c) | (c, ConstantValue::Top) => c.clone(),
                    (ConstantValue::Bottom, _) | (_, ConstantValue::Bottom) => {
                        ConstantValue::Bottom
                    }
                    (ConstantValue::Value(v1), ConstantValue::Value(v2)) => {
                        if v1 == v2 {
                            ConstantValue::Value(*v1)
                        } else {
                            ConstantValue::Bottom
                        }
                    }
                };
                Ok(AbstractValue::Constant(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in constant meet".to_string(),
            )),
        }
    }

    fn widen(&self, a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // For constant domain, widening is typically the same as join
        Ok(a.clone())
    }

    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        self.meet(a, b)
    }

    fn less_equal(&self, a: &AbstractValue, b: &AbstractValue) -> bool {
        match (a, b) {
            (AbstractValue::Constant(c1), AbstractValue::Constant(c2)) => match (c1, c2) {
                (ConstantValue::Bottom, _) => true,
                (_, ConstantValue::Top) => true,
                (ConstantValue::Value(v1), ConstantValue::Value(v2)) => v1 == v2,
                _ => false,
            },
            _ => false,
        }
    }

    fn abstract_binary_op(
        &self,
        op: BinaryAbstractOp,
        left: &AbstractValue,
        right: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match (left, right) {
            (AbstractValue::Constant(c1), AbstractValue::Constant(c2)) => {
                let result = match (c1, c2) {
                    (ConstantValue::Value(v1), ConstantValue::Value(v2)) => {
                        match op {
                            BinaryAbstractOp::Add => ConstantValue::Value(v1 + v2),
                            BinaryAbstractOp::Sub => ConstantValue::Value(v1 - v2),
                            BinaryAbstractOp::Mul => ConstantValue::Value(v1 * v2),
                            BinaryAbstractOp::Div => {
                                if *v2 != 0.0 {
                                    ConstantValue::Value(v1 / v2)
                                } else {
                                    ConstantValue::Bottom // Division by zero
                                }
                            }
                            _ => ConstantValue::Top, // Conservative for other operations
                        }
                    }
                    (ConstantValue::Bottom, _) | (_, ConstantValue::Bottom) => {
                        ConstantValue::Bottom
                    }
                    _ => ConstantValue::Top,
                };
                Ok(AbstractValue::Constant(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in constant binary operation".to_string(),
            )),
        }
    }

    fn abstract_unary_op(
        &self,
        op: UnaryAbstractOp,
        operand: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        match operand {
            AbstractValue::Constant(c) => {
                let result = match c {
                    ConstantValue::Value(v) => {
                        match op {
                            UnaryAbstractOp::Neg => ConstantValue::Value(-v),
                            UnaryAbstractOp::Abs => ConstantValue::Value(v.abs()),
                            UnaryAbstractOp::Sqrt => {
                                if *v >= 0.0 {
                                    ConstantValue::Value(v.sqrt())
                                } else {
                                    ConstantValue::Bottom // Invalid operation
                                }
                            }
                            _ => ConstantValue::Top, // Conservative for other operations
                        }
                    }
                    ConstantValue::Bottom => ConstantValue::Bottom,
                    ConstantValue::Top => ConstantValue::Top,
                };
                Ok(AbstractValue::Constant(result))
            }
            _ => Err(JitError::AbstractInterpretationError(
                "Type mismatch in constant unary operation".to_string(),
            )),
        }
    }

    fn lift_constant(&self, value: f64) -> JitResult<AbstractValue> {
        Ok(AbstractValue::Constant(ConstantValue::Value(value)))
    }

    fn concretize(&self, value: &AbstractValue) -> Option<Vec<f64>> {
        match value {
            AbstractValue::Constant(ConstantValue::Value(v)) => Some(vec![*v]),
            _ => None,
        }
    }
}

/// Polyhedral domain implementation (placeholder)
///
/// Represents sets of values using systems of linear inequalities,
/// providing high precision at increased computational cost.
#[derive(Debug)]
pub struct PolyhedralDomain;

impl PolyhedralDomain {
    pub fn new() -> Self {
        Self
    }
}

impl Default for PolyhedralDomain {
    fn default() -> Self {
        Self::new()
    }
}

impl AbstractDomain for PolyhedralDomain {
    fn bottom(&self) -> AbstractValue {
        AbstractValue::Polyhedron(vec![LinearConstraint::False])
    }

    fn top(&self) -> AbstractValue {
        AbstractValue::Polyhedron(vec![LinearConstraint::True])
    }

    fn join(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require convex hull computation
        Ok(self.top())
    }

    fn meet(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require constraint intersection
        Ok(self.top())
    }

    fn widen(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require polyhedra widening
        Ok(self.top())
    }

    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        self.meet(a, b)
    }

    fn less_equal(&self, _a: &AbstractValue, _b: &AbstractValue) -> bool {
        // Placeholder implementation - would require inclusion checking
        false
    }

    fn abstract_binary_op(
        &self,
        _op: BinaryAbstractOp,
        _left: &AbstractValue,
        _right: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn abstract_unary_op(
        &self,
        _op: UnaryAbstractOp,
        _operand: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn lift_constant(&self, _value: f64) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn concretize(&self, _value: &AbstractValue) -> Option<Vec<f64>> {
        None
    }
}

/// Octagon domain implementation (placeholder)
///
/// Represents sets using octagonal constraints (differences between variables),
/// balancing precision and efficiency for relational analysis.
#[derive(Debug)]
pub struct OctagonDomain;

impl OctagonDomain {
    pub fn new() -> Self {
        Self
    }
}

impl Default for OctagonDomain {
    fn default() -> Self {
        Self::new()
    }
}

impl AbstractDomain for OctagonDomain {
    fn bottom(&self) -> AbstractValue {
        AbstractValue::Octagon(OctagonConstraints::new(0))
    }

    fn top(&self) -> AbstractValue {
        AbstractValue::Octagon(OctagonConstraints::new(0))
    }

    fn join(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require octagon operations
        Ok(self.top())
    }

    fn meet(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require octagon intersection
        Ok(self.top())
    }

    fn widen(&self, _a: &AbstractValue, _b: &AbstractValue) -> JitResult<AbstractValue> {
        // Placeholder implementation - would require octagon widening
        Ok(self.top())
    }

    fn narrow(&self, a: &AbstractValue, b: &AbstractValue) -> JitResult<AbstractValue> {
        self.meet(a, b)
    }

    fn less_equal(&self, _a: &AbstractValue, _b: &AbstractValue) -> bool {
        // Placeholder implementation
        false
    }

    fn abstract_binary_op(
        &self,
        _op: BinaryAbstractOp,
        _left: &AbstractValue,
        _right: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn abstract_unary_op(
        &self,
        _op: UnaryAbstractOp,
        _operand: &AbstractValue,
    ) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn lift_constant(&self, _value: f64) -> JitResult<AbstractValue> {
        // Placeholder implementation
        Ok(self.top())
    }

    fn concretize(&self, _value: &AbstractValue) -> Option<Vec<f64>> {
        None
    }
}