torsh-jit 0.1.3

//! Comprehensive Abstract Interpretation Framework
//!
//! This module provides a complete framework for static analysis using abstract interpretation,
//! including multiple abstract domains, fixpoint computation, invariant detection, and property
//! verification. The framework is designed for analyzing computation graphs and IR modules in
//! the JIT compilation context.
//!
//! # Architecture
//!
//! The abstract interpretation system is organized into specialized modules:
//!
//! - **`domains`**: Abstract domain implementations (intervals, signs, constants, polyhedra, octagons)
//! - **`framework`**: Core analysis engine and configuration
//!
//! Additional modules for advanced features (to be implemented):
//! - **`analysis_engines`**: Fixpoint computation, invariant detection, property checking
//! - **`graph_representation`**: Abstract graph structures and control flow
//! - **`results`**: Analysis results, statistics, and metrics
//! - **`properties`**: Property verification and safety checking
//! - **`utilities`**: Caching and helper functions
//!
//! # Usage Examples
//!
//! ## Basic Graph Analysis
//!
//! ```rust
//! use torsh_jit::abstract_interpretation::{
//!     AbstractInterpreter, AbstractInterpretationConfig, AbstractDomainType
//! };
//!
//! # fn example() -> torsh_jit::JitResult<()> {
//! // Create configuration for interval domain analysis
//! let config = AbstractInterpretationConfig {
//!     domain_type: AbstractDomainType::Intervals,
//!     max_iterations: 50,
//!     enable_backward_analysis: true,
//!     ..Default::default()
//! };
//!
//! // Create interpreter and analyze graph
//! let mut interpreter = AbstractInterpreter::new(config);
//! // let result = interpreter.analyze_graph(&computation_graph)?;
//! # Ok(())
//! # }
//! ```
//!
//! ## Custom Domain Analysis
//!
//! ```rust
//! use torsh_jit::abstract_interpretation::{
//!     AbstractInterpreter, AbstractDomainType, Property
//! };
//!
//! # fn example() -> torsh_jit::JitResult<()> {
//! // Configure sign domain with property checking
//! let mut config = torsh_jit::abstract_interpretation::AbstractInterpretationConfig::default();
//! config.domain_type = AbstractDomainType::Signs;
//! config.properties = vec![
//!     Property::NonNegative(torsh_jit::NodeId::new(0)),
//!     Property::NoDivisionByZero(torsh_jit::NodeId::new(1)),
//! ];
//!
//! let mut interpreter = AbstractInterpreter::new(config);
//! // Perform analysis with safety property verification
//! # Ok(())
//! # }
//! ```
//!
//! # Abstract Domains
//!
//! The framework supports multiple abstract domains with different precision/performance trade-offs:
//!
//! - **Intervals**: Tracks value ranges [min, max] - good balance of precision and efficiency
//! - **Signs**: Tracks sign information (positive, negative, zero) - very efficient
//! - **Constants**: Tracks exact constant values - maximum precision for constants
//! - **Polyhedra**: Linear constraint systems - high precision, higher cost (placeholder)
//! - **Octagons**: Octagonal constraints - balanced relational domain (placeholder)
//!
//! # Analysis Capabilities
//!
//! - **Forward Analysis**: Standard abstract interpretation with fixpoint computation
//! - **Backward Analysis**: Backward propagation for increased precision
//! - **Invariant Detection**: Automatic discovery of program invariants
//! - **Property Verification**: Safety property checking and verification
//! - **Performance Analysis**: Bottleneck detection and optimization opportunities
//! - **Precision Analysis**: Analysis quality assessment and improvement suggestions

// Core modules
pub mod domains;
pub mod framework;

#[cfg(test)]
mod framework_tests;

// Advanced modules (to be implemented based on need)
// pub mod analysis_engines;
// pub mod graph_representation;
// pub mod results;
// pub mod properties;
// pub mod utilities;

// Re-export core types and functionality from domains
pub use domains::{
    // Domain types and factory
    AbstractDomain,
    AbstractDomainFactory,
    AbstractDomainType,

    // Abstract values and operations
    AbstractValue,
    BinaryAbstractOp,
    ConstantDomain,
    ConstantValue,
    // Concrete domain implementations
    IntervalDomain,
    LinearConstraint,
    OctagonConstraints,
    OctagonDomain,
    PolyhedralDomain,
    SignDomain,
    SignValue,
    UnaryAbstractOp,
};

// Re-export core types and functionality from framework
pub use framework::{
    // Analysis results
    AbstractAnalysisResult,
    AbstractFunctionResult,
    AbstractInterpretationConfig,

    // Main interpreter and configuration
    AbstractInterpreter,
    AbstractIrResult,
    AnalysisCache,
    // Analysis metrics
    AnalysisStatistics,
    BackwardAnalysisResult,
    BottleneckType,
    ComplexityMetrics,

    // Engine components
    FixpointEngine,
    ForwardAnalysisResult,
    FunctionBackwardResult,
    FunctionForwardResult,
    FunctionInvariant,
    InterproceduralAnalysisResult,
    // Invariant types
    Invariant,
    InvariantDetector,
    InvariantType,
    ModuleInvariant,

    OptimizationOpportunity,
    OptimizationType,
    PerformanceAnalysis,
    PerformanceBottleneck,
    PrecisionAnalysis,
    // Property and safety types
    Property,
    PropertyChecker,
    PropertyResult,

    SafetyCheck,
    SafetyCheckResult,
};

// Convenience type aliases
pub type AnalysisResult<T> = crate::JitResult<T>;
pub type NodeId = crate::NodeId;

/// Create a new AbstractInterpreter with default configuration
///
/// Uses interval domain with reasonable defaults for most use cases.
///
/// # Returns
/// * `AbstractInterpreter` - Configured interpreter ready for analysis
pub fn new_interpreter() -> AbstractInterpreter {
    AbstractInterpreter::with_defaults()
}

/// Create a new AbstractInterpreter with interval domain
///
/// # Arguments
/// * `max_iterations` - Maximum fixpoint iterations
/// * `enable_backward` - Whether to enable backward analysis
///
/// # Returns
/// * `AbstractInterpreter` - Configured interpreter for interval analysis
pub fn new_interval_interpreter(
    max_iterations: usize,
    enable_backward: bool,
) -> AbstractInterpreter {
    let config = AbstractInterpretationConfig {
        domain_type: AbstractDomainType::Intervals,
        max_iterations,
        enable_backward_analysis: enable_backward,
        ..Default::default()
    };
    AbstractInterpreter::new(config)
}

/// Create a new AbstractInterpreter with sign domain
///
/// Optimized for fast analysis when only sign information is needed.
///
/// # Arguments
/// * `properties` - Properties to verify during analysis
///
/// # Returns
/// * `AbstractInterpreter` - Configured interpreter for sign analysis
pub fn new_sign_interpreter(properties: Vec<Property>) -> AbstractInterpreter {
    let config = AbstractInterpretationConfig {
        domain_type: AbstractDomainType::Signs,
        properties,
        max_iterations: 50, // Sign domain converges quickly
        ..Default::default()
    };
    AbstractInterpreter::new(config)
}

/// Create a new AbstractInterpreter with constant domain
///
/// Best for analysis where exact constant propagation is important.
///
/// # Returns
/// * `AbstractInterpreter` - Configured interpreter for constant analysis
pub fn new_constant_interpreter() -> AbstractInterpreter {
    let config = AbstractInterpretationConfig {
        domain_type: AbstractDomainType::Constants,
        max_iterations: 30, // Constant domain converges very quickly
        ..Default::default()
    };
    AbstractInterpreter::new(config)
}

/// Create a configuration optimized for speed
///
/// Uses sign domain with minimal iterations for fast analysis.
///
/// # Returns
/// * `AbstractInterpretationConfig` - Speed-optimized configuration
pub fn speed_optimized_config() -> AbstractInterpretationConfig {
    AbstractInterpretationConfig {
        domain_type: AbstractDomainType::Signs,
        max_iterations: 20,
        widening_delay: 1,
        enable_narrowing: false,
        enable_backward_analysis: false,
        properties: Vec::new(),
        precision_threshold: 0.6,
    }
}

/// Create a configuration optimized for precision
///
/// Uses interval domain with many iterations and backward analysis.
///
/// # Returns
/// * `AbstractInterpretationConfig` - Precision-optimized configuration
pub fn precision_optimized_config() -> AbstractInterpretationConfig {
    AbstractInterpretationConfig {
        domain_type: AbstractDomainType::Intervals,
        max_iterations: 200,
        widening_delay: 5,
        enable_narrowing: true,
        enable_backward_analysis: true,
        properties: Vec::new(),
        precision_threshold: 0.95,
    }
}

/// Create a balanced configuration
///
/// Good balance between speed and precision using interval domain.
///
/// # Returns
/// * `AbstractInterpretationConfig` - Balanced configuration
pub fn balanced_config() -> AbstractInterpretationConfig {
    AbstractInterpretationConfig::default()
}

/// Create property list for common safety checks
///
/// # Arguments
/// * `node_ids` - Node IDs to apply safety checks to
///
/// # Returns
/// * `Vec<Property>` - Common safety properties
pub fn common_safety_properties(node_ids: Vec<NodeId>) -> Vec<Property> {
    let mut properties = Vec::new();

    for &node_id in &node_ids {
        properties.push(Property::NonNegative(node_id));
        properties.push(Property::NoDivisionByZero(node_id));
        properties.push(Property::NoOverflow(node_id));
    }

    properties
}

/// Create property list for bounds checking
///
/// # Arguments
/// * `bounds` - List of (node_id, min, max) bounds to check
///
/// # Returns
/// * `Vec<Property>` - Bounds checking properties
pub fn bounds_checking_properties(bounds: Vec<(NodeId, f64, f64)>) -> Vec<Property> {
    bounds
        .into_iter()
        .map(|(node_id, min, max)| Property::BoundedValue(node_id, min, max))
        .collect()
}

/// Analyze computation graph with default settings
///
/// Convenience function for quick analysis with reasonable defaults.
///
/// # Arguments
/// * `graph` - Computation graph to analyze
///
/// # Returns
/// * `AnalysisResult<AbstractAnalysisResult>` - Analysis results
pub fn analyze_graph_default(
    graph: &crate::ComputationGraph,
) -> AnalysisResult<AbstractAnalysisResult> {
    let mut interpreter = new_interpreter();
    interpreter.analyze_graph(graph)
}

/// Analyze computation graph with custom configuration
///
/// # Arguments
/// * `graph` - Computation graph to analyze
/// * `config` - Analysis configuration
///
/// # Returns
/// * `AnalysisResult<AbstractAnalysisResult>` - Analysis results
pub fn analyze_graph_with_config(
    graph: &crate::ComputationGraph,
    config: AbstractInterpretationConfig,
) -> AnalysisResult<AbstractAnalysisResult> {
    let mut interpreter = AbstractInterpreter::new(config);
    interpreter.analyze_graph(graph)
}

/// Analyze IR module with default settings
///
/// # Arguments
/// * `ir_module` - IR module to analyze
///
/// # Returns
/// * `AnalysisResult<AbstractIrResult>` - IR analysis results
pub fn analyze_ir_default(ir_module: &crate::ir::IrModule) -> AnalysisResult<AbstractIrResult> {
    let mut interpreter = new_interpreter();
    interpreter.analyze_ir(ir_module)
}

/// Prelude module for convenient imports
pub mod prelude {
    pub use super::{
        analyze_graph_default,
        analyze_graph_with_config,

        balanced_config,

        bounds_checking_properties,
        // Property helpers
        common_safety_properties,
        new_constant_interpreter,
        // Convenience functions
        new_interpreter,
        new_interval_interpreter,
        new_sign_interpreter,
        precision_optimized_config,
        // Configuration presets
        speed_optimized_config,
        AbstractAnalysisResult,

        // Domain types
        AbstractDomain,
        AbstractDomainType,
        AbstractInterpretationConfig,
        // Core types
        AbstractInterpreter,
        AbstractValue,
        ConstantDomain,

        IntervalDomain,
        // Property types
        Property,
        SafetyCheck,
        SafetyCheckResult,

        SignDomain,
    };
}

/// Mathematical foundations for abstract interpretation
pub mod theory {
    //! Theoretical foundations and mathematical definitions
    //!
    //! This module provides documentation and examples of the mathematical
    //! concepts underlying abstract interpretation.

    /// Complete lattice properties
    ///
    /// Abstract domains form complete lattices with:
    /// - Bottom element (⊥): empty set of concrete values
    /// - Top element (⊤): all possible concrete values
    /// - Join operation (⊔): least upper bound (union)
    /// - Meet operation (⊓): greatest lower bound (intersection)
    /// - Partial order (⊑): precision ordering
    ///
    /// Widening (∇) and narrowing (△) operators ensure termination
    /// and improve precision respectively.
    pub struct LatticeProperties;

    /// Galois connection between concrete and abstract domains
    ///
    /// The abstraction function α: Concrete → Abstract and
    /// concretization function γ: Abstract → Concrete form
    /// a Galois connection ensuring soundness of the analysis.
    pub struct GaloisConnection;

    /// Fixpoint theorem
    ///
    /// Abstract interpretation computes fixpoints of abstract
    /// transfer functions to analyze program behavior.
    /// The Knaster-Tarski theorem guarantees existence of fixpoints.
    pub struct FixpointTheorem;
}

/// Examples and tutorials
pub mod examples {
    //! Example usage patterns and tutorials

    /// Basic interval analysis example
    pub fn interval_analysis_example() {
        // Implementation would go here
    }

    /// Sign analysis for safety properties
    pub fn sign_analysis_safety_example() {
        // Implementation would go here
    }

    /// Complex property verification example
    pub fn property_verification_example() {
        // Implementation would go here
    }
}