delaunay 0.7.5

#![cfg_attr(any(doc, doctest), doc = include_str!("../README.md"))]

//! ---
//! # Documentation map
//!
//! The README above is included verbatim and serves as the **user-facing introduction** to the
//! crate (overview, features, and quick-start examples).
//!
//! Everything below this line specifies the **semantic and correctness contract** of the
//! `delaunay` crate and is intended for users who need stronger guarantees, deeper understanding
//! of invariants, or who are extending the implementation.
//!
//! This crate’s documentation is intentionally layered by audience and intent:
//!
//! - **README.md** (included above):
//!   User-facing overview, feature list, and quick-start examples.
//!
//! - **Crate-level documentation (`lib.rs`)** (this document):
//!   The programming contract of the library: what invariants are enforced, when validation runs,
//!   and what errors mean.
//!
//!   In particular, this document covers:
//!   - The validation hierarchy and invariant stack (Levels 1–4)
//!   - Topological guarantees (`TopologyGuarantee`) and insertion-time validation policy (`ValidationPolicy`)
//!   - High-level error semantics and programming contract (transactional operations, duplicate rejection)
//!
//! - **docs/workflows.md**:
//!   Task-oriented, end-to-end usage recipes (Builder API, Edit API, validation,
//!   repairs, diagnostics, and statistics).
//!
//! - **docs/validation.md**:
//!   Formal definitions of validation Levels 1–4, their costs, and guidance on when
//!   each level should be applied.
//!
//! - **docs/invariants.md**:
//!   Deeper theoretical discussion of topological and geometric invariants
//!   (PL-manifold conditions, ridge/vertex links, ordering heuristics, and
//!   convergence assumptions), plus algorithmic background and limitations.
//!
//! ## Which import do I need?
//!
//! The crate provides several focused prelude modules.  Pick the one that
//! matches your task:
//!
//! | Task | Import |
//! |---|---|
//! | Build a triangulation, insert/remove vertices | `use delaunay::prelude::triangulation::*` |
//! | Read-only queries, traversal, convex hull | `use delaunay::prelude::query::*` |
//! | Geometry helpers, predicates, points | `use delaunay::prelude::geometry::*` |
//! | Bistellar flips (Pachner moves) | `use delaunay::prelude::triangulation::flips::*` |
//! | Delaunayize workflow (repair + flip) | `use delaunay::prelude::triangulation::delaunayize::*` |
//! | Topology validation, Euler characteristic | `use delaunay::prelude::topology::validation::*` |
//! | Collection types (`FastHashMap`, etc.) | `use delaunay::prelude::collections::*` |
//! | Everything (kitchen sink) | `use delaunay::prelude::*` |
//!
//! ## Examples (contract-oriented)
//!
//! ### Validation hierarchy (Levels 1–4)
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0, 0.0]),
//!     vertex!([1.0, 0.0, 0.0]),
//!     vertex!([0.0, 1.0, 0.0]),
//!     vertex!([0.0, 0.0, 1.0]),
//! ];
//! let dt = DelaunayTriangulationBuilder::new(&vertices).build::<()>().unwrap();
//!
//! // Levels 1–2: elements + structural (TDS)
//! assert!(dt.tds().validate().is_ok());
//!
//! // Levels 1–3: elements + structural + topology
//! assert!(dt.as_triangulation().validate().is_ok());
//!
//! // Level 4 only: Delaunay property (assumes Levels 1–3)
//! assert!(dt.is_valid().is_ok());
//!
//! // Levels 1–4: full cumulative validation
//! assert!(dt.validate().is_ok());
//! ```
//!
//! ### Topology guarantees and insertion-time validation (`TopologyGuarantee`, `ValidationPolicy`)
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0, 0.0]),
//!     vertex!([1.0, 0.0, 0.0]),
//!     vertex!([0.0, 1.0, 0.0]),
//!     vertex!([0.0, 0.0, 1.0]),
//! ];
//! let mut dt = DelaunayTriangulationBuilder::new(&vertices).build::<()>().unwrap();
//!
//! assert_eq!(dt.topology_guarantee(), TopologyGuarantee::PLManifold);
//! assert_eq!(dt.validation_policy(), ValidationPolicy::OnSuspicion);
//!
//! dt.set_topology_guarantee(TopologyGuarantee::Pseudomanifold);
//! dt.set_validation_policy(ValidationPolicy::Always);
//!
//! assert_eq!(dt.topology_guarantee(), TopologyGuarantee::Pseudomanifold);
//! assert_eq!(dt.validation_policy(), ValidationPolicy::Always);
//! ```
//!
//! ### Transactional operations and duplicate rejection
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0]),
//!     vertex!([1.0, 0.0]),
//!     vertex!([0.0, 1.0]),
//! ];
//! let mut dt = DelaunayTriangulationBuilder::new(&vertices).build::<()>().unwrap();
//!
//! let before_vertices = dt.number_of_vertices();
//! let before_cells = dt.number_of_cells();
//!
//! // Duplicate coordinates are rejected.
//! let result = dt.insert(vertex!([0.0, 0.0]));
//! assert!(matches!(result, Err(InsertionError::DuplicateCoordinates { .. })));
//!
//! // On error, the triangulation is unchanged.
//! assert_eq!(dt.number_of_vertices(), before_vertices);
//! assert_eq!(dt.number_of_cells(), before_cells);
//! ```
//!
//! # Triangulation invariants and validation hierarchy
//!
//! The crate is organized as a small **validation stack**, where each layer adds additional
//! invariants on top of the preceding one:
//!
//! - [`Vertex`](crate::core::vertex::Vertex) and [`Cell`](crate::core::cell::Cell) provide
//!   **element validity** checks.
//!   Level 1 (elements) validation checks invariants such as:
//!   - **Vertex coordinates** – finite (no NaN/∞) and UUID is non-nil.
//!   - **Cell shape** – exactly D+1 distinct vertex keys, valid UUID, and neighbor buffer length
//!     (if present) is D+1.
//!
//!   These checks are surfaced via [`Vertex::is_valid`](crate::core::vertex::Vertex::is_valid) and
//!   [`Cell::is_valid`](crate::core::cell::Cell::is_valid), and are automatically run by
//!   [`Tds::validate`](crate::core::triangulation_data_structure::Tds::validate) (Levels 1–2).
//!
//! - [`Tds`](crate::core::triangulation_data_structure::Tds) (Triangulation Data Structure)
//!   stores the **combinatorial / structural** representation.
//!   Level 2 (structural) validation checks invariants such as:
//!   - **Vertex mappings** – every vertex UUID has a corresponding key and vice versa.
//!   - **Cell mappings** – every cell UUID has a corresponding key and vice versa.
//!   - **No duplicate cells** – no two maximal cells share the same vertex set.
//!   - **Facet sharing** – each facet is shared by at most 2 cells (1 on the boundary, 2 in the interior).
//!   - **Neighbor consistency** – neighbor relationships are mutual and reference a shared facet.
//!
//!   These checks are surfaced via [`Tds::is_valid`](crate::core::triangulation_data_structure::Tds::is_valid)
//!   (structural only) and [`Tds::validate`](crate::core::triangulation_data_structure::Tds::validate)
//!   (Levels 1–2, elements + structural). For cumulative diagnostics across the full stack,
//!   use [`DelaunayTriangulation::validation_report`](core::delaunay_triangulation::DelaunayTriangulation::validation_report).
//!
//! - [`Triangulation`](crate::core::triangulation::Triangulation) builds on the TDS and validates
//!   **manifold topology**.
//!   Level 3 (topology) validation is performed by
//!   [`Triangulation::is_valid`](crate::core::triangulation::Triangulation::is_valid) (Level 3 only) and
//!   [`Triangulation::validate`](crate::core::triangulation::Triangulation::validate) (Levels 1–3), which:
//!   - Strengthens facet sharing to the **manifold facet property**: each facet belongs to
//!     exactly 1 cell (boundary) or exactly 2 cells (interior).
//!   - Checks the **Euler characteristic** of the triangulation (using the topology module).
//!
//! - [`DelaunayTriangulation`](crate::core::delaunay_triangulation::DelaunayTriangulation) builds on
//!   `Triangulation` and validates the **geometric** Delaunay condition.
//!   Level 4 (Delaunay property) validation is performed by
//!   [`DelaunayTriangulation::is_valid`](core::delaunay_triangulation::DelaunayTriangulation::is_valid) (Level 4 only) and
//!   [`DelaunayTriangulation::validate`](core::delaunay_triangulation::DelaunayTriangulation::validate) (Levels 1–4).
//!   Construction is designed to satisfy the Delaunay property, but in rare cases it may be violated for
//!   near-degenerate inputs (see [Issue #120](https://github.com/acgetchell/delaunay/issues/120)).
//!
//! ## Validation
//!
//! The crate exposes four validation levels (element → structural → manifold → Delaunay). The
//! canonical guide (when to use each level, complexity, examples, troubleshooting) lives in
//! `docs/validation.md`:
//! <https://github.com/acgetchell/delaunay/blob/main/docs/validation.md>
//!
//! In brief:
//! - Level 1 (elements / `Vertex` + `Cell`): `Vertex::is_valid()` / `Cell::is_valid()` for element
//!   checks, or `dt.tds().validate()` for Levels 1–2.
//! - Level 2 (structural / `Tds`): `dt.tds().is_valid()` for a quick check, or `dt.tds().validate()` for
//!   Levels 1–2.
//! - Level 3 (topology / `Triangulation`): `dt.as_triangulation().is_valid()` for topology-only checks, or
//!   `dt.as_triangulation().validate()` for Levels 1–3.
//! - Level 4 (Delaunay / `DelaunayTriangulation`): `dt.is_valid()` for the empty-circumsphere property, or
//!   `dt.validate()` for Levels 1–4.
//! - Full diagnostics: `dt.validation_report()` returns all violated invariants across Levels 1–4.
//!
//! ### Automatic topology validation during insertion (`ValidationPolicy`)
//!
//! In addition to explicit validation calls, incremental construction (`new()` / `insert*()`) can run an
//! automatic **Level 3** topology validation pass after insertion, controlled by
//! [`ValidationPolicy`](crate::core::triangulation::ValidationPolicy).
//!
//! The default is [`ValidationPolicy::OnSuspicion`](crate::core::triangulation::ValidationPolicy::OnSuspicion):
//! Level 3 validation runs only when insertion takes a suspicious path (e.g. perturbation retries,
//! repair loops, or neighbor-pointer repairs that actually changed pointers).
//!
//! This automatic pass only runs Level 3 (`Triangulation::is_valid()`). It does **not** run Level 4.
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0, 0.0]),
//!     vertex!([1.0, 0.0, 0.0]),
//!     vertex!([0.0, 1.0, 0.0]),
//!     vertex!([0.0, 0.0, 1.0]),
//! ];
//! let mut dt = DelaunayTriangulation::new(&vertices).unwrap();
//!
//! // Performance mode: disable insertion-time Level 3 topology validation.
//! dt.set_validation_policy(ValidationPolicy::Never);
//!
//! // Do incremental work...
//! dt.insert(vertex!([0.2, 0.2, 0.2])).unwrap();
//!
//! // ...then explicitly validate the topology layer when you need a certificate.
//! assert!(dt.as_triangulation().validate().is_ok());
//! ```
//!
//! ### Choosing Level 3 topology guarantee (`TopologyGuarantee`)
//!
//! This section specifies *what* invariants are enforced. The formal topological
//! definitions and rationale live in `docs/invariants.md`.
//!
//! Level 3 topology validation is parameterized by
//! [`TopologyGuarantee`](crate::core::triangulation::TopologyGuarantee). This is separate from
//! `ValidationPolicy`: it controls *what* invariants Level 3 enforces, not *when* automatic
//! validation runs.
//!
//! - [`TopologyGuarantee::PLManifold`](crate::core::triangulation::TopologyGuarantee::PLManifold)
//!   (default): enforces manifold facet degree, boundary closure, connectedness, Euler characteristic,
//!   and link-based manifold conditions. Ridge-link checks are applied incrementally during insertion,
//!   with vertex-link validation performed at construction completion.
//!
//!   The formal topological definitions, link conditions, and rationale for this validation strategy
//!   are documented in `docs/invariants.md`.
//! - [`TopologyGuarantee::PLManifoldStrict`](crate::core::triangulation::TopologyGuarantee::PLManifoldStrict):
//!   vertex-link validation after every insertion (slowest, maximum safety).
//! - [`TopologyGuarantee::Pseudomanifold`](crate::core::triangulation::TopologyGuarantee::Pseudomanifold):
//!   skips vertex-link validation (may be faster), but bistellar flip convergence is not guaranteed and
//!   you may want to validate the Delaunay property explicitly for near-degenerate inputs.
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0, 0.0]),
//!     vertex!([1.0, 0.0, 0.0]),
//!     vertex!([0.0, 1.0, 0.0]),
//!     vertex!([0.0, 0.0, 1.0]),
//! ];
//! let dt = DelaunayTriangulationBuilder::new(&vertices).build::<()>().unwrap();
//!
//! // For `TopologyGuarantee::PLManifold`, full certification includes a completion-time
//! // vertex-link validation pass.
//! assert!(dt.as_triangulation().validate_at_completion().is_ok());
//! ```
//!
//! ```rust
//! use delaunay::prelude::triangulation::*;
//!
//! let vertices = vec![
//!     vertex!([0.0, 0.0, 0.0]),
//!     vertex!([1.0, 0.0, 0.0]),
//!     vertex!([0.0, 1.0, 0.0]),
//!     vertex!([0.0, 0.0, 1.0]),
//! ];
//! let dt = DelaunayTriangulationBuilder::new(&vertices).build::<()>().unwrap();
//!
//! // `validate()` returns the first violation; `validation_report()` is intended for
//! // debugging/telemetry where you want the full set of violated invariants.
//! assert!(dt.validation_report().is_ok());
//! ```
//!
//! For implementation details on invariant enforcement, see [`core::algorithms::incremental_insertion`].
//!
//! # Programming contract (high-level)
//!
//! - **Transactional mutations**: Construction and incremental operations are designed to be
//!   all-or-nothing. If an operation returns `Err(_)`, the triangulation is rolled back to its
//!   previous state.
//! - **Duplicate detection**: Near-duplicate coordinates are rejected using a small Euclidean
//!   tolerance (currently `1e-10` for the default floating-point scalars), returning
//!   [`InsertionError::DuplicateCoordinates`](core::algorithms::incremental_insertion::InsertionError::DuplicateCoordinates).
//!   Duplicate UUIDs return
//!   [`InsertionError::DuplicateUuid`](core::algorithms::incremental_insertion::InsertionError::DuplicateUuid).
//! - **Explicit verification**: Use `dt.validate()` for cumulative verification (Levels 1–4), or
//!   `dt.is_valid()` for Level 4 only.

// Allow multiple crate versions due to transitive dependencies
#![expect(clippy::multiple_crate_versions)]
// Temporarily allow deprecated warnings during API migration (v0.6.0)
// - Facet -> FacetView migration
// - Tds::new()/add() -> DelaunayTriangulation::new()/insert()
// Forbid unsafe code throughout the entire crate
#![forbid(unsafe_code)]

/// The `core` module contains the primary data structures and algorithms for building and manipulating Delaunay triangulations.
///
/// It includes the `Tds` struct, which represents the triangulation, as well as `Cell`, `Facet`, and `Vertex` components.
/// This module provides traits for customizing vertex and cell data. The crate also includes a `prelude` module for convenient access to commonly used types.
pub mod core {
    /// Triangulation algorithms for construction, maintenance, and querying.
    pub mod algorithms {
        /// Flip-based algorithms (Delaunay repair, diagnostics, and related utilities).
        pub mod flips;
        /// Incremental cavity-based insertion.
        pub mod incremental_insertion;
        /// Point location algorithms (facet walking).
        pub mod locate;
        /// Bounded deterministic PL-manifold topology repair.
        pub(crate) mod pl_manifold_repair;
    }

    pub mod adjacency;
    pub mod boundary;
    /// Fluent builder for [`DelaunayTriangulation`] with optional toroidal topology.
    pub mod builder;
    pub mod cell;
    /// High-performance collection types optimized for computational geometry operations.
    ///
    /// This module provides centralized type aliases for performance-critical data structures
    /// used throughout the delaunay triangulation library. These aliases allow for easy
    /// future optimization and maintenance by providing a single location to change
    /// the underlying implementation.
    ///
    /// # Performance Rationale
    ///
    /// The type aliases in this module are optimized based on the specific usage patterns
    /// in computational geometry algorithms:
    ///
    /// ## Hash-based Collections
    ///
    /// - **FastHashMap/FastHashSet**: Uses `FastHasher`, a non-cryptographic hasher
    ///   that is 2-3x faster than `SipHash` for trusted data. Perfect for internal data
    ///   where collision resistance against adversarial input is not required.
    ///
    /// ### ⚠️ Security Warning: `DoS` Resistance
    ///
    /// **The hasher used in these collections is NOT DoS-resistant.** It should only be
    /// used with trusted input data. Do not use `FastHashMap` or `FastHashSet` with
    /// attacker-controlled keys, as this could lead to hash collision attacks that
    /// degrade performance to O(n) worst-case behavior.
    ///
    /// **Safe usage patterns:**
    /// - Internal geometric computations with generated/computed keys
    /// - Trusted coordinate data from known sources
    /// - UUID-based keys generated by the library itself
    ///
    /// **Unsafe usage patterns:**
    /// - Processing untrusted coordinate data from external sources
    /// - Using user-provided keys without validation
    /// - Network-facing applications with external input
    ///
    /// ## Small Collections
    ///
    /// - **`SmallVec`**: Uses stack allocation for small collections, avoiding heap
    ///   allocations for the common case where collections remain small. This is
    ///   particularly effective for:
    ///   - Vertex neighbor lists (typically D+1 neighbors)
    ///   - Facet-to-cell mappings (typically 1-2 cells per facet)
    ///   - Temporary collections during geometric operations
    ///
    /// # Usage Patterns
    ///
    /// The size parameters for `SmallVec` are chosen based on empirical analysis of
    /// typical triangulation patterns:
    ///
    /// - **2 elements**: Facet sharing (boundary facets = 1 cell, interior facets = 2 cells)
    /// - **4 elements**: Small temporary collections during geometric operations
    /// - **8 elements**: Vertex degrees and cell neighbor counts in typical triangulations
    /// - **16 elements**: Larger temporary buffers for batch operations
    ///
    /// # Future Optimization
    ///
    /// This centralized approach allows for easy experimentation with different
    /// high-performance data structures:
    /// - Alternative hash functions (ahash, seahash)
    /// - Specialized geometric data structures
    /// - SIMD-optimized containers
    /// - Memory pool allocators
    ///
    /// # Examples
    ///
    /// ```rust
    /// use delaunay::core::collections::{FastHashMap, FacetToCellsMap, SmallBuffer};
    ///
    /// // Use optimized HashMap for temporary mappings
    /// let mut temp_map: FastHashMap<u64, usize> = FastHashMap::default();
    ///
    /// // Use stack-allocated buffer for small collections
    /// let mut small_list: SmallBuffer<i32, 8> = SmallBuffer::new();
    /// small_list.push(1);
    /// small_list.push(2);
    ///
    /// // Use domain-specific optimized collections
    /// let facet_map: FacetToCellsMap = FacetToCellsMap::default();
    /// ```
    ///
    /// ## Key-based internal operations
    ///
    /// The crate uses stable keys (`VertexKey`, `CellKey`) internally for performance.
    /// This module provides optimized maps/sets keyed by those identifiers:
    ///
    /// ```rust
    /// use delaunay::core::collections::{CellKeySet, KeyBasedCellMap, VertexKeySet};
    ///
    /// let mut internal_cells: CellKeySet = CellKeySet::default();
    /// let mut internal_vertices: VertexKeySet = VertexKeySet::default();
    /// let mut key_mappings: KeyBasedCellMap<String> = KeyBasedCellMap::default();
    /// ```
    pub mod collections {
        mod aliases;
        mod buffers;
        mod helpers;
        mod key_maps;
        mod secondary_maps;
        mod triangulation_maps;

        pub(crate) mod spatial_hash_grid;

        pub(crate) use aliases::StorageMap;
        pub use aliases::{
            Entry, FacetIndex, FastBuildHasher, FastHashMap, FastHashSet, FastHasher,
            MAX_PRACTICAL_DIMENSION_SIZE, SmallBuffer, Uuid,
        };

        pub use buffers::*;
        pub use helpers::*;
        pub use key_maps::*;
        pub use secondary_maps::*;
        pub use triangulation_maps::*;
    }
    /// Delaunay triangulation layer with incremental insertion.
    pub mod delaunay_triangulation;
    pub mod edge;
    pub mod facet;
    /// Semantic classification and telemetry for topological operations
    pub mod operations;
    /// Generic triangulation combining kernel + Tds.
    pub mod triangulation;
    pub mod triangulation_data_structure;

    /// General utility functions organized by functionality.
    pub mod util {
        pub(crate) mod canonical_points;
        pub mod deduplication;
        pub mod delaunay_validation;
        pub mod facet_keys;
        pub mod facet_utils;
        pub mod hashing;
        pub mod hilbert;
        pub mod jaccard;
        pub mod measurement;
        pub mod uuid;

        // Re-export public items for ergonomic `crate::core::util::*` access.
        pub use deduplication::*;
        pub use delaunay_validation::*;
        pub use facet_keys::*;
        pub use facet_utils::*;
        pub use hashing::*;
        pub use hilbert::*;
        pub use jaccard::*;
        pub use measurement::*;
        pub use uuid::*;
    }

    pub mod vertex;

    /// Traits for Delaunay triangulation data structures.
    pub mod traits {
        pub mod boundary_analysis;
        pub mod data_type;
        pub mod facet_cache;
        pub use boundary_analysis::*;
        pub use data_type::*;
        pub use facet_cache::*;
    }

    // Re-export the `core` modules.
    pub use adjacency::*;
    pub use builder::DelaunayTriangulationBuilder;
    pub use cell::*;
    pub use delaunay_triangulation::*;
    pub use edge::*;
    pub use facet::*;
    pub use traits::*;
    pub use triangulation_data_structure::*;
    pub use util::*;
    pub use vertex::*;

    // Note: collections module not re-exported here to avoid namespace pollution
    // Import specific types via prelude or use crate::core::collections::
}

/// Contains geometric types including the `Point` struct and geometry predicates.
///
/// The geometry module provides a coordinate abstraction through the `Coordinate` trait
/// that unifies coordinate operations across different storage mechanisms. The `Point`
/// type implements this abstraction, providing generic floating-point coordinate support
/// (for `f32`, `f64`, and other types implementing `CoordinateScalar`) with proper NaN
/// handling, validation, and hashing.
pub mod geometry {
    /// Geometric algorithms for triangulations and spatial data structures
    pub mod algorithms {
        /// Convex hull operations on d-dimensional triangulations
        pub mod convex_hull;
        pub use convex_hull::*;
    }
    #[macro_use]
    pub mod matrix;
    /// Geometric kernel abstraction (CGAL-style).
    pub mod kernel;
    pub mod point;
    pub mod predicates;
    /// Geometric quality measures for d-dimensional simplicial cells
    pub mod quality;
    /// Enhanced predicates with improved numerical robustness
    pub mod robust_predicates;
    /// Simulation of Simplicity (SoS) for deterministic degeneracy resolution
    pub mod sos;
    /// Geometric utility functions for d-dimensional geometry calculations
    pub mod util {
        use crate::geometry::matrix::{MatrixError, StackMatrixDispatchError};
        use crate::geometry::traits::coordinate::CoordinateConversionError;

        // Error types defined here and re-exported from submodules

        /// Errors that can occur during value type conversions.
        ///
        /// # Examples
        ///
        /// ```rust
        /// use delaunay::geometry::util::ValueConversionError;
        ///
        /// let err = ValueConversionError::ConversionFailed {
        ///     value: "1.0".to_string(),
        ///     from_type: "f64",
        ///     to_type: "u32",
        ///     details: "out of range".to_string(),
        /// };
        /// assert!(matches!(err, ValueConversionError::ConversionFailed { .. }));
        /// ```
        #[derive(Clone, Debug, thiserror::Error, PartialEq, Eq)]
        pub enum ValueConversionError {
            /// Failed to convert a value from one type to another
            #[error("Cannot convert {value} from {from_type} to {to_type}: {details}")]
            ConversionFailed {
                /// The value that failed to convert (as string for display)
                value: String,
                /// Source type name
                from_type: &'static str,
                /// Target type name
                to_type: &'static str,
                /// Additional details about the failure
                details: String,
            },
        }

        /// Errors that can occur during random point generation.
        ///
        /// # Examples
        ///
        /// ```rust
        /// use delaunay::geometry::util::RandomPointGenerationError;
        ///
        /// let err = RandomPointGenerationError::InvalidRange {
        ///     min: "1.0".to_string(),
        ///     max: "0.0".to_string(),
        /// };
        /// assert!(matches!(err, RandomPointGenerationError::InvalidRange { .. }));
        /// ```
        #[derive(Clone, Debug, thiserror::Error, PartialEq, Eq)]
        pub enum RandomPointGenerationError {
            /// Invalid coordinate range provided
            #[error("Invalid coordinate range: minimum {min} must be less than maximum {max}")]
            InvalidRange {
                /// The minimum value of the range
                min: String,
                /// The maximum value of the range
                max: String,
            },

            /// Failed to generate random value within range
            #[error("Failed to generate random value in range [{min}, {max}]: {details}")]
            RandomGenerationFailed {
                /// The minimum value of the range
                min: String,
                /// The maximum value of the range
                max: String,
                /// Additional details about the failure
                details: String,
            },

            /// Invalid number of points requested
            #[error("Invalid number of points: {n_points} (must be non-negative)")]
            InvalidPointCount {
                /// The invalid number of points requested
                n_points: isize,
            },
        }

        /// Errors that can occur during circumcenter calculation.
        ///
        /// # Examples
        ///
        /// ```rust
        /// use delaunay::geometry::util::CircumcenterError;
        ///
        /// let err = CircumcenterError::EmptyPointSet;
        /// assert!(matches!(err, CircumcenterError::EmptyPointSet));
        /// ```
        #[derive(Clone, Debug, thiserror::Error, PartialEq, Eq)]
        pub enum CircumcenterError {
            /// Empty point set provided
            #[error("Empty point set")]
            EmptyPointSet,

            /// Points do not form a valid simplex
            #[error(
                "Points do not form a valid simplex: expected {expected} points for dimension {dimension}, got {actual}"
            )]
            InvalidSimplex {
                /// Number of points provided
                actual: usize,
                /// Number of points expected (D+1)
                expected: usize,
                /// Dimension
                dimension: usize,
            },

            /// Matrix inversion failed (degenerate simplex)
            #[error("Matrix inversion failed: {details}")]
            MatrixInversionFailed {
                /// Details about the matrix inversion failure
                details: String,
            },

            /// Matrix operation error
            #[error("Matrix error: {0}")]
            MatrixError(#[from] MatrixError),

            /// Array conversion failed
            #[error("Array conversion failed: {details}")]
            ArrayConversionFailed {
                /// Details about the array conversion failure
                details: String,
            },

            /// Coordinate conversion error
            #[error("Coordinate conversion error: {0}")]
            CoordinateConversion(#[from] CoordinateConversionError),

            /// Value conversion error
            #[error("Value conversion error: {0}")]
            ValueConversion(#[from] ValueConversionError),
        }

        impl From<StackMatrixDispatchError> for CircumcenterError {
            fn from(source: StackMatrixDispatchError) -> Self {
                match source {
                    StackMatrixDispatchError::UnsupportedDim { k, max } => {
                        Self::MatrixInversionFailed {
                            details: format!("unsupported stack matrix size: {k} (max {max})"),
                        }
                    }
                    StackMatrixDispatchError::La(source) => Self::MatrixInversionFailed {
                        details: format!("la-stack error: {source}"),
                    },
                }
            }
        }

        /// Error type for surface measure computation operations.
        ///
        /// # Examples
        ///
        /// ```rust
        /// use delaunay::geometry::util::{CircumcenterError, SurfaceMeasureError};
        ///
        /// let err = SurfaceMeasureError::GeometryError(CircumcenterError::EmptyPointSet);
        /// assert!(matches!(err, SurfaceMeasureError::GeometryError(_)));
        /// ```
        #[derive(Clone, Debug, thiserror::Error, PartialEq, Eq)]
        pub enum SurfaceMeasureError {
            /// Error retrieving vertices from a facet.
            #[error("Failed to retrieve facet vertices: {0}")]
            FacetError(#[from] crate::core::facet::FacetError),
            /// Error computing geometry measure.
            #[error("Geometry computation failed: {0}")]
            GeometryError(#[from] CircumcenterError),
        }

        pub mod circumsphere;
        pub mod conversions;
        pub mod measures;
        pub mod norms;
        pub mod point_generation;
        pub mod triangulation_generation;

        // Re-export all public items for ergonomic `crate::geometry::util::*` access.
        pub use circumsphere::*;
        pub use conversions::*;
        pub use measures::*;
        pub use norms::*;
        pub use point_generation::*;
        pub use triangulation_generation::*;
    }
    /// Traits module containing coordinate abstractions and reusable trait definitions.
    ///
    /// This module contains the core `Coordinate` trait that abstracts coordinate
    /// operations, along with supporting traits for validation (`FiniteCheck`),
    /// equality comparison (`OrderedEq`), and hashing (`HashCoordinate`) of
    /// floating-point coordinate values.
    pub mod traits {
        pub mod coordinate;
        pub use coordinate::*;
    }
    pub use algorithms::*;
    pub use matrix::*;
    pub use point::*;
    pub use predicates::*;
    pub use quality::*;
    pub use traits::*;
    pub use util::*;
}

/// Triangulation-facing APIs.
///
/// This module groups public APIs that operate on triangulations, such as explicit
/// bistellar (Pachner) flip operations.
pub mod triangulation {
    /// End-to-end "repair then delaunayize" workflow.
    pub mod delaunayize;
    /// Triangulation editing operations (bistellar flips).
    pub mod flips;

    // Re-export commonly used triangulation types for discoverability.
    pub use crate::core::delaunay_triangulation::DelaunayTriangulation;
    pub use crate::core::triangulation::Triangulation;
}

/// Topology analysis and validation for triangulated spaces.
///
/// This module provides traits, algorithms, and data structures for analyzing
/// and validating the topological properties of triangulations.
///
/// # Features
///
/// - **Euler Characteristic Calculation**: Compute topological invariants
/// - **Topology Classification**: Classify triangulations (Ball, Sphere, etc.)
/// - **Validation Framework**: Verify triangulation topological correctness
/// - **Dimensional Generic**: Works across all supported dimensions
///
/// # Applicability
///
/// These tools work for **any triangulation** (not just Delaunay triangulations).
/// The Euler characteristic and topological properties are combinatorial invariants
/// that depend only on the connectivity structure, not on geometric properties.
///
/// # Example
///
/// ```rust
/// use delaunay::prelude::triangulation::*;
/// use delaunay::topology::characteristics::validation;
///
/// let vertices = vec![
///     vertex!([0.0, 0.0, 0.0]),
///     vertex!([1.0, 0.0, 0.0]),
///     vertex!([0.0, 1.0, 0.0]),
///     vertex!([0.0, 0.0, 1.0]),
/// ];
/// let dt = DelaunayTriangulation::new(&vertices).unwrap();
///
/// let result = validation::validate_triangulation_euler(dt.tds()).unwrap();
/// assert_eq!(result.chi, 1);  // Tetrahedron has χ = 1
/// assert!(result.is_valid());
/// ```
pub mod topology {
    /// Traits for topological spaces and error types
    pub mod traits {
        pub(crate) mod global_topology_model;
        pub mod topological_space;
        pub use topological_space::*;
    }
    /// Topological invariants and their computation
    pub mod characteristics {
        pub mod euler;
        pub mod validation;
        pub use euler::*;
        pub use validation::*;
    }

    /// Manifold / simplicial-complex validity checks (topology-only).
    pub mod manifold;

    /// Concrete topological space implementations (future work).
    ///
    /// This module will contain specialized implementations for different
    /// topological spaces (Euclidean, spherical, toroidal) once the
    /// [`TopologicalSpace`] trait is stabilized.
    pub mod spaces {
        /// Euclidean space topology
        pub mod euclidean;
        /// Spherical space topology
        pub mod spherical;
        /// Toroidal space topology
        pub mod toroidal;

        pub use euclidean::EuclideanSpace;
        pub use spherical::SphericalSpace;
        pub use toroidal::ToroidalSpace;
    }

    // Re-export commonly used types
    pub use crate::core::triangulation::TopologyGuarantee;
    pub use characteristics::*;
    pub use manifold::{
        ManifoldError, validate_closed_boundary, validate_facet_degree, validate_ridge_links,
        validate_vertex_links,
    };
    pub use traits::*;
}

/// A prelude module that re-exports commonly used types and macros.
/// This makes it easier to import the most commonly used items from the crate.
pub mod prelude {
    // Re-export from core
    pub use crate::core::{
        adjacency::*,
        cell::*,
        delaunay_triangulation::*,
        edge::*,
        facet::*,
        traits::{boundary_analysis::*, data_type::*},
        triangulation::*,
        triangulation_data_structure::*,
        vertex::*,
    };

    // Re-export utility items, but avoid exporting the util module names themselves.
    //
    // In particular, exporting `core::util::uuid` as `uuid` conflicts with the external `uuid`
    // crate name, making `use uuid::Uuid;` ambiguous for downstream users.
    pub use crate::core::util::{
        deduplication::*, delaunay_validation::*, facet_keys::*, facet_utils::*, hashing::*,
        hilbert::*, jaccard::*, measurement::*, uuid::*,
    };

    // Re-export point location algorithms from core::algorithms
    pub use crate::core::algorithms::locate::{
        LocateError, LocateFallback, LocateFallbackReason, LocateResult, LocateStats, locate,
        locate_with_stats,
    };

    // Re-export incremental insertion types
    pub use crate::core::algorithms::incremental_insertion::InsertionError;
    pub use crate::core::operations::{InsertionOutcome, InsertionStatistics, SuspicionFlags};

    // Re-export diagnostic types for scientific analysis of construction and repair
    pub use crate::core::algorithms::flips::{
        DelaunayRepairDiagnostics, DelaunayRepairError, DelaunayRepairStats, RepairQueueOrder,
    };

    // Re-export commonly used collection types from core::collections
    // These are frequently used in advanced examples and downstream code
    pub use crate::core::collections::{
        CellNeighborsMap, CellSecondaryMap, FacetToCellsMap, FastHashMap, FastHashSet, SmallBuffer,
        VertexSecondaryMap, VertexToCellsMap, fast_hash_map_with_capacity,
        fast_hash_set_with_capacity,
    };

    // Re-export from geometry
    pub use crate::geometry::{
        algorithms::*, kernel::*, matrix::*, point::*, predicates::*, quality::*,
        robust_predicates::*, traits::coordinate::*, util::*,
    };

    /// Focused exports for triangulation construction and inspection.
    pub mod triangulation {
        pub use crate::core::builder::DelaunayTriangulationBuilder;
        pub use crate::core::{
            adjacency::*,
            cell::*,
            delaunay_triangulation::*,
            edge::*,
            facet::*,
            traits::{boundary_analysis::*, data_type::*},
            triangulation::*,
            triangulation_data_structure::*,
            vertex::*,
        };

        pub use crate::core::algorithms::incremental_insertion::InsertionError;
        pub use crate::core::operations::{InsertionOutcome, InsertionStatistics, SuspicionFlags};

        // Diagnostic types for scientific analysis of construction and repair
        pub use crate::core::algorithms::flips::{
            DelaunayRepairDiagnostics, DelaunayRepairError, DelaunayRepairStats, RepairQueueOrder,
        };
        pub use crate::topology::traits::{GlobalTopology, TopologyKind, ToroidalConstructionMode};

        /// Bistellar (Pachner) flips for explicit triangulation editing.
        pub mod flips {
            pub use crate::core::delaunay_triangulation::DelaunayTriangulation;
            pub use crate::core::triangulation::{TopologyGuarantee, Triangulation};
            pub use crate::triangulation::flips::*;

            // Convenience macro (commonly used in docs/examples).
            pub use crate::vertex;
        }

        /// End-to-end "repair then delaunayize" workflow.
        ///
        /// Self-contained: a single `use delaunay::prelude::triangulation::delaunayize::*`
        /// import brings in [`DelaunayTriangulation`], [`vertex!`], and all
        /// delaunayize-specific types.
        pub mod delaunayize {
            pub use crate::core::delaunay_triangulation::DelaunayTriangulation;
            pub use crate::triangulation::delaunayize::*;

            // Convenience macro (commonly used in docs/examples).
            pub use crate::vertex;
        }

        // Convenience macro (commonly used in docs/tests/examples).
        pub use crate::vertex;
    }

    /// Focused exports for collection types used throughout the crate.
    pub mod collections {
        pub use crate::core::collections::{
            CellNeighborsMap, CellSecondaryMap, FacetToCellsMap, FastHashMap, FastHashSet,
            SmallBuffer, VertexSecondaryMap, VertexToCellsMap, fast_hash_map_with_capacity,
            fast_hash_set_with_capacity,
        };
    }

    /// Focused exports for geometry types, predicates, and helpers.
    pub mod geometry {
        pub use crate::geometry::{
            algorithms::*, kernel::*, matrix::*, point::*, predicates::*, quality::*,
            robust_predicates::*, traits::coordinate::*, util::*,
        };
    }

    /// Focused exports for core algorithms.
    pub mod algorithms {
        pub use crate::core::algorithms::locate::{
            LocateError, LocateFallback, LocateFallbackReason, LocateResult, LocateStats, locate,
            locate_with_stats,
        };
    }

    /// Convenience re-exports for common **read-only** workflows (topology traversal, adjacency,
    /// convex-hull extraction, and common input types).
    ///
    /// This is useful if you want a smaller import surface than `delaunay::prelude::*`,
    /// while still having access to the key public APIs typically used in docs/tests/examples/benches.
    ///
    /// Note: `query` currently also re-exports a few helpers commonly used in
    /// docs/tests/examples/benches (e.g., random generators). If this grows over time, it may be
    /// split into more focused modules (e.g., `prelude::generators`).
    ///
    /// Includes:
    /// - Topology traversal: [`DelaunayTriangulation::edges`], [`DelaunayTriangulation::incident_edges`],
    ///   [`DelaunayTriangulation::cell_neighbors`]
    /// - Fast repeated queries: [`DelaunayTriangulation::build_adjacency_index`] and [`AdjacencyIndex`]
    /// - Zero-allocation geometry accessors: [`DelaunayTriangulation::vertex_coords`],
    ///   [`DelaunayTriangulation::cell_vertices`]
    /// - Convex hull extraction: [`ConvexHull::from_triangulation`]
    /// - Test/example helpers: [`generate_random_triangulation`], [`generate_random_points_seeded`]
    pub mod query {
        // Core read-only traversal / adjacency
        pub use crate::core::adjacency::{AdjacencyIndex, AdjacencyIndexBuildError};
        pub use crate::core::delaunay_triangulation::DelaunayTriangulation;
        pub use crate::core::edge::EdgeKey;
        pub use crate::core::triangulation::Triangulation;
        pub use crate::core::triangulation_data_structure::{CellKey, VertexKey};

        // Common input/output types (kept intentionally small)
        pub use crate::core::facet::FacetView;
        pub use crate::core::traits::boundary_analysis::BoundaryAnalysis;
        pub use crate::core::traits::data_type::DataType;
        pub use crate::core::{Cell, Vertex};
        pub use crate::geometry::Point;
        pub use crate::geometry::kernel::{
            AdaptiveKernel, ExactPredicates, FastKernel, Kernel, RobustKernel,
        };
        pub use crate::geometry::traits::coordinate::Coordinate;

        // Read-only predicates (useful in benchmarks / lightweight geometry checks)
        pub use crate::geometry::{insphere, insphere_distance, insphere_lifted};

        // Read-only algorithms
        pub use crate::geometry::algorithms::convex_hull::ConvexHull;

        // Convenience generators (commonly used in docs/tests/examples/benches)
        pub use crate::geometry::util::{
            generate_random_points_seeded, generate_random_triangulation,
        };

        // Instrumentation helpers (no-op unless features enable extra tracking)
        pub use crate::core::util::measure_with_result;

        // Convenience macro (commonly used in docs/tests/examples) without importing full `prelude::*`.
        pub use crate::vertex;
    }
    /// Topology validation & analysis utilities.
    pub mod topology {
        /// Topology validation utilities.
        pub mod validation {
            pub use crate::topology::TopologyGuarantee;
            pub use crate::topology::characteristics::*;
            pub use crate::topology::manifold::{
                ManifoldError, validate_closed_boundary, validate_facet_degree,
                validate_ridge_links, validate_vertex_links,
            };
            pub use crate::topology::traits::*;
        }
    }

    // Convenience macros
    pub use crate::vertex;
}

/// The function `is_normal` checks that structs implement `auto` traits.
/// Traits are checked at compile time, so this function is only used for
/// testing.
#[must_use]
pub const fn is_normal<T: Sized + Send + Sync + Unpin>() -> bool {
    true
}

// =============================================================================
// TESTS
// =============================================================================

#[cfg(test)]
mod tests {
    use crate::{
        core::{
            adjacency::AdjacencyIndex, cell::Cell, delaunay_triangulation::DelaunayTriangulation,
            edge::EdgeKey, triangulation::Triangulation, triangulation_data_structure::Tds,
            vertex::Vertex,
        },
        geometry::{Point, algorithms::convex_hull::ConvexHull, kernel::FastKernel},
        is_normal,
    };

    // =============================================================================
    // TYPE SAFETY TESTS
    // =============================================================================

    #[test]
    fn normal_types() {
        assert!(is_normal::<Point<f64, 3>>());
        assert!(is_normal::<Point<f32, 3>>());
        assert!(is_normal::<Vertex<f64, (), 3>>());
        assert!(is_normal::<Cell<f64, (), (), 4>>());
        assert!(is_normal::<Tds<f64, (), (), 4>>());
        assert!(is_normal::<Triangulation<FastKernel<f64>, (), (), 3>>());
        assert!(is_normal::<DelaunayTriangulation<FastKernel<f64>, (), (), 3>>());
        assert!(is_normal::<ConvexHull<FastKernel<f64>, (), (), 3>>());
        assert!(is_normal::<EdgeKey>());
        assert!(is_normal::<AdjacencyIndex>());
    }

    #[test]
    fn test_prelude_collections_exports() {
        use crate::prelude::*;

        // Test that we can use the collections from the prelude
        let mut map: FastHashMap<u64, usize> = FastHashMap::default();
        map.insert(123, 456);
        assert_eq!(map.get(&123), Some(&456));

        let mut set: FastHashSet<u64> = FastHashSet::default();
        set.insert(789);
        assert!(set.contains(&789));

        let mut buffer: SmallBuffer<i32, 8> = SmallBuffer::new();
        buffer.push(42);
        assert_eq!(buffer.len(), 1);

        // Test capacity helpers
        let map_with_cap = fast_hash_map_with_capacity::<u64, usize>(100);
        assert!(map_with_cap.capacity() >= 100);

        let set_with_cap = fast_hash_set_with_capacity::<u64>(50);
        assert!(set_with_cap.capacity() >= 50);

        // Test domain-specific types can be instantiated
        let _facet_map: FacetToCellsMap = FacetToCellsMap::default();
        let _neighbors: CellNeighborsMap = CellNeighborsMap::default();
        let _vertex_cells: VertexToCellsMap = VertexToCellsMap::default();
    }

    #[test]
    fn test_prelude_quality_exports() {
        use crate::prelude::*;

        // Test that quality functions are accessible from prelude
        let vertices = vec![
            vertex!([0.0, 0.0]),
            vertex!([1.0, 0.0]),
            vertex!([0.0, 1.0]),
        ];
        let dt: DelaunayTriangulation<_, (), (), 2> =
            DelaunayTriangulation::new(&vertices).unwrap();

        // Get a cell to test quality functions
        let (cell_key, _) = dt.cells().next().unwrap();

        // Test that quality functions are accessible
        let ratio = radius_ratio(dt.as_triangulation(), cell_key).unwrap();
        assert!(ratio > 0.0);

        let norm_vol = normalized_volume(dt.as_triangulation(), cell_key).unwrap();
        assert!(norm_vol > 0.0);
    }

    #[test]
    fn test_prelude_kernel_exports() {
        use crate::prelude::*;

        // Test that kernel types and predicates are accessible from prelude
        let fast_kernel = FastKernel::<f64>::new();
        let robust_kernel = RobustKernel::<f64>::new();

        // Test 2D orientation predicate
        let triangle = [
            Point::new([0.0, 0.0]),
            Point::new([1.0, 0.0]),
            Point::new([0.0, 1.0]),
        ];

        let fast_orientation = fast_kernel.orientation(&triangle).unwrap();
        assert_ne!(fast_orientation, 0, "Triangle should be non-degenerate");

        let robust_orientation = robust_kernel.orientation(&triangle).unwrap();
        assert_eq!(
            fast_orientation, robust_orientation,
            "Both kernels should agree"
        );

        // Test collinear detection
        let collinear = [
            Point::new([0.0, 0.0]),
            Point::new([1.0, 0.0]),
            Point::new([2.0, 0.0]),
        ];
        assert_eq!(
            fast_kernel.orientation(&collinear).unwrap(),
            0,
            "Collinear points should have zero orientation"
        );

        // Test in_sphere predicate
        let inside_point = Point::new([0.25, 0.25]);
        let result = fast_kernel.in_sphere(&triangle, &inside_point).unwrap();
        assert_eq!(result, 1, "Point should be inside circumcircle");

        let outside_point = Point::new([2.0, 2.0]);
        let result = fast_kernel.in_sphere(&triangle, &outside_point).unwrap();
        assert_eq!(result, -1, "Point should be outside circumcircle");
    }

    #[test]
    fn test_prelude_core_types() {
        use crate::prelude::*;

        // Test that core types are accessible and work from prelude
        // Point construction
        let p1 = Point::new([0.0, 0.0, 0.0]);
        let p2 = Point::new([1.0, 0.0, 0.0]);
        assert_ne!(p1, p2);

        // Vertex construction via macro and builder
        let v1: Vertex<f64, (), 3> = vertex!([0.0, 0.0, 0.0]);
        let v2: Vertex<f64, (), 3> = vertex!([1.0, 0.0, 0.0]);
        assert_ne!(v1.point(), v2.point());

        // DelaunayTriangulation construction
        let vertices = vec![
            vertex!([0.0, 0.0, 0.0]),
            vertex!([1.0, 0.0, 0.0]),
            vertex!([0.0, 1.0, 0.0]),
            vertex!([0.0, 0.0, 1.0]),
        ];
        let dt: DelaunayTriangulation<_, (), (), 3> =
            DelaunayTriangulation::new(&vertices).unwrap();
        assert_eq!(dt.number_of_vertices(), 4);
        assert_eq!(dt.number_of_cells(), 1);

        // Access Triangulation, Tds, Cell types
        let tri = dt.as_triangulation();
        assert_eq!(tri.number_of_vertices(), 4);

        let tds = &tri.tds;
        assert_eq!(tds.number_of_cells(), 1);

        // Iterate over cells
        for (cell_key, _cell) in tri.cells() {
            assert!(tds.get_cell(cell_key).is_some());
        }
    }

    #[test]
    fn test_prelude_point_location() {
        use crate::prelude::*;

        // Test that point location algorithms are accessible
        let vertices = vec![
            vertex!([0.0, 0.0]),
            vertex!([1.0, 0.0]),
            vertex!([0.0, 1.0]),
        ];
        let dt: DelaunayTriangulation<_, (), (), 2> =
            DelaunayTriangulation::new(&vertices).unwrap();

        // Test locate function with kernel
        let kernel = FastKernel::<f64>::new();
        let query_point = Point::new([0.3, 0.3]);
        let result = locate(dt.tds(), &kernel, &query_point, None);
        assert!(result.is_ok());

        // Result should be a LocateResult
        match result.unwrap() {
            LocateResult::InsideCell(_)
            | LocateResult::OnFacet { .. }
            | LocateResult::OnEdge { .. }
            | LocateResult::OnVertex(_) => { /* expected or acceptable */ }
            LocateResult::Outside => panic!("Point should be inside triangulation"),
        }

        // Test outside point
        let outside_point = Point::new([10.0, 10.0]);
        let result = locate(dt.tds(), &kernel, &outside_point, None);
        assert!(result.is_ok());
    }

    #[test]
    fn test_prelude_geometry_types() {
        use crate::prelude::*;

        // Test Point with Coordinate trait
        let p = Point::new([1.0_f64, 2.0_f64, 3.0_f64]);
        assert!((p.coords()[0] - 1.0_f64).abs() < f64::EPSILON);
        assert!((p.coords()[1] - 2.0_f64).abs() < f64::EPSILON);
        assert!((p.coords()[2] - 3.0_f64).abs() < f64::EPSILON);

        // Test predicates are accessible
        let triangle = [
            Point::new([0.0, 0.0]),
            Point::new([1.0, 0.0]),
            Point::new([0.0, 1.0]),
        ];

        // simplex_orientation is exported from predicates
        let orientation = simplex_orientation(&triangle).unwrap();
        assert_ne!(orientation, Orientation::DEGENERATE);

        // Test insphere predicate
        let test_point = Point::new([0.25, 0.25]);
        let result = insphere(&triangle, test_point).unwrap();
        assert_eq!(result, InSphere::INSIDE);
    }

    #[test]
    fn test_prelude_convex_hull() {
        use crate::prelude::*;

        // Test that convex hull operations are accessible
        let vertices = vec![
            vertex!([0.0, 0.0, 0.0]),
            vertex!([1.0, 0.0, 0.0]),
            vertex!([0.0, 1.0, 0.0]),
            vertex!([0.0, 0.0, 1.0]),
        ];
        let dt: DelaunayTriangulation<_, (), (), 3> =
            DelaunayTriangulation::new(&vertices).unwrap();

        // ConvexHull type should be accessible
        let hull = ConvexHull::from_triangulation(dt.as_triangulation()).unwrap();
        assert_eq!(hull.number_of_facets(), 4); // Tetrahedron has 4 faces

        // Test point visibility
        let outside_point = Point::new([2.0, 2.0, 2.0]);
        let is_outside = hull
            .is_point_outside(&outside_point, dt.as_triangulation())
            .unwrap();
        assert!(is_outside);

        let inside_point = Point::new([0.25, 0.25, 0.25]);
        let is_outside = hull
            .is_point_outside(&inside_point, dt.as_triangulation())
            .unwrap();
        assert!(!is_outside);
    }

    // =============================================================================
    // ALLOCATION COUNTING TESTS
    // =============================================================================

    /// Run these with `cargo test allocation_counting --features count-allocations`
    #[cfg(feature = "count-allocations")]
    #[test]
    fn test_basic_allocation_counting() {
        use allocation_counter::measure;

        // Test a trivial operation that should not allocate
        let result = measure(|| {
            let x = 1 + 1;
            assert_eq!(x, 2);
        });

        // Assert that the returned struct has the expected fields
        // Available fields: count_total, count_current, count_max, bytes_total, bytes_current, bytes_max
        // For a trivial operation, we expect zero allocations
        assert_eq!(
            result.count_total, 0,
            "Expected zero total allocations for trivial operation, found: {}",
            result.count_total
        );
        assert_eq!(
            result.bytes_total, 0,
            "Expected zero total bytes allocated for trivial operation, found: {}",
            result.bytes_total
        );

        // Also check that current allocations are zero (no leaked allocations)
        assert_eq!(
            result.count_current, 0,
            "Expected zero current allocations after trivial operation, found: {}",
            result.count_current
        );
        assert_eq!(
            result.bytes_current, 0,
            "Expected zero current bytes allocated after trivial operation, found: {}",
            result.bytes_current
        );
    }

    #[cfg(feature = "count-allocations")]
    #[test]
    fn test_allocation_counting_with_allocating_operation() {
        use allocation_counter::measure;

        // Test an operation that does allocate memory
        let result = measure(|| {
            let _vec: Vec<i32> = vec![1, 2, 3, 4, 5];
        });

        // For this operation, we expect some allocations
        assert!(
            result.count_total > 0,
            "Expected some allocations for Vec creation, found: {}",
            result.count_total
        );
        assert!(
            result.bytes_total > 0,
            "Expected some bytes allocated for Vec creation, found: {}",
            result.bytes_total
        );

        // After the operation, current allocations should be zero (Vec was dropped)
        assert_eq!(
            result.count_current, 0,
            "Expected zero current allocations after Vec drop, found: {}",
            result.count_current
        );
        assert_eq!(
            result.bytes_current, 0,
            "Expected zero current bytes after Vec drop, found: {}",
            result.bytes_current
        );

        // Max values should be at least as large as total (they track peak usage)
        assert!(
            result.count_max >= result.count_total,
            "Max count should be >= total count"
        );
        assert!(
            result.bytes_max >= result.bytes_total,
            "Max bytes should be >= total bytes"
        );
    }
}