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//! # Lens (`Lens<S, A>`)
//!
//! Lens is a functional programming concept for accessing and modifying parts of immutable data structures.
//!
//! A lens provides a way to:
//! - View a part of a larger data structure
//! - Update that part while preserving the rest of the structure
//! - Transform the focused part using functions
//!
//! ## Quick Start
//!
//! ```rust
//! use rustica::datatypes::lens::Lens;
//!
//! #[derive(Clone, Debug, PartialEq)]
//! struct Person { name: String, age: u32 }
//!
//! // Create lenses for accessing struct fields
//! let name_lens = Lens::new(
//! |p: &Person| p.name.clone(),
//! |p: Person, name: String| Person { name, ..p },
//! );
//! let age_lens = Lens::new(
//! |p: &Person| p.age,
//! |p: Person, age: u32| Person { age, ..p },
//! );
//!
//! let person = Person { name: "Alice".to_string(), age: 30 };
//!
//! // Get values through lenses
//! assert_eq!(name_lens.get(&person), "Alice");
//! assert_eq!(age_lens.get(&person), 30);
//!
//! // Set values immutably
//! let renamed = name_lens.set(person.clone(), "Bob".to_string());
//! assert_eq!(renamed, Person { name: "Bob".to_string(), age: 30 });
//!
//! // Transform values with modify
//! let older = age_lens.modify(person, |age| age + 1);
//! assert_eq!(older.age, 31);
//! ```
//!
//! ## Core Concepts
//!
//! - **Immutable Updates**: All operations create new instances instead of modifying in place
//! - **Composable**: Lenses can be combined to focus on nested structures
//! - **Type-safe**: The compiler ensures that updates maintain type consistency
//!
//! ## Functional Programming Context
//!
//! In functional programming, lenses are a form of *functional reference* or *optic* that solve the
//! problem of updating immutable nested data structures. The concept originates from category theory
//! and extends the idea of getters and setters to a composable, algebraic structure.
//!
//! Key aspects of lenses in functional programming:
//!
//! - **Bidirectionality**: Unlike simple getter/setter pairs, lenses maintain a bidirectional relationship
//! between a structure and its components, allowing roundtrip transformations.
//!
//! - **Compositionality**: Lenses can be composed, allowing navigation through deeply nested structures.
//!
//! - **Lawfulness**: Well-behaved lenses adhere to specific laws (GetSet, SetGet, SetSet) ensuring
//! predictable behavior.
//!
//! - **Referential Transparency**: Lens operations maintain referential transparency, making them
//! suitable for purely functional programming.
//!
//! Similar concepts in other functional languages:
//!
//! - Haskell's `lens` library by Edward Kmett
//! - Scala's `Monocle` and `Quicklens` libraries
//! - OCaml's `Lenses` and `Optics` modules
//! - PureScript's optics libraries
//!
//! ## Type Class Implementations
//!
//! Lenses implement several functional programming abstractions:
//!
//! - **Getter**: The ability to retrieve a component from a larger structure
//! - **Setter**: The ability to update a component in an immutable structure
//! - **Functor Mapping**: The ability to apply a function over the focused component
//! - **Composable**: Lenses can be composed to access nested structures
//!
//! ## Basic Usage
//!
//! ```rust
//! use rustica::datatypes::lens::Lens;
//!
//! // Define a simple data structure
//! #[derive(Clone, Debug, PartialEq)]
//! struct Person {
//! name: String,
//! age: u32,
//! }
//!
//! // Create lenses for each field
//! let name_lens = Lens::new(
//! |p: &Person| p.name.clone(),
//! |p: Person, name: String| Person { name, ..p },
//! );
//!
//! let age_lens = Lens::new(
//! |p: &Person| p.age,
//! |p: Person, age: u32| Person { age, ..p },
//! );
//!
//! // Use the lenses
//! let person = Person {
//! name: "Alice".to_string(),
//! age: 30,
//! };
//!
//! // Get values
//! assert_eq!(name_lens.get(&person), "Alice");
//! assert_eq!(age_lens.get(&person), 30);
//!
//! // Set values
//! let updated = name_lens.set(person.clone(), "Bob".to_string());
//! assert_eq!(updated.name, "Bob");
//! assert_eq!(updated.age, 30); // Original value preserved
//!
//! // Modify values
//! let older = age_lens.modify(person, |age| age + 5);
//! assert_eq!(older.age, 35);
//! ```
//!
//! ## Type Class Laws
//!
//! Lenses follow three fundamental laws that ensure their correct behavior. See the documentation
//! for the specific functions (`get`, `set`) for examples demonstrating these laws.
//!
//! ### GetSet Law
//!
//! For any lens `l` and structure `s`:
//!
//! `l.set(s.clone(), l.get(&s)) == s`
//!
//! "Setting a value to what it already is doesn't change anything"
//!
//! ### SetGet Law
//!
//! For any lens `l`, structure `s`, and value `v`:
//!
//! `l.get(&l.set(s.clone(), v)) == v`
//!
//! "If you set a value, that's what you get back"
//!
//! ### SetSet Law
//!
//! For any lens `l`, structure `s`, and values `v1` and `v2`:
//!
//! `l.set(l.set(s.clone(), v1), v2) == l.set(s, v2)`
//!
//! "Setting a value and then immediately setting another value is the same as just setting the second value"
//!
//! # Examples
//!
//! ```rust
//! use rustica::datatypes::lens::Lens;
//! use std::rc::Rc;
//!
//! // A nested data structure
//! #[derive(Clone, Debug, PartialEq)]
//! struct Address {
//! street: String,
//! city: String,
//! }
//!
//! #[derive(Clone, Debug, PartialEq)]
//! struct Person {
//! name: String,
//! address: Rc<Address>, // Using Rc for structural sharing
//! }
//!
//! // Create lenses for accessing nested fields
//! let address_lens = Lens::new(
//! |p: &Person| p.address.as_ref().clone(),
//! |p: Person, addr: Address| Person {
//! address: Rc::new(addr),
//! ..p
//! },
//! );
//!
//! let street_lens = Lens::new(
//! |a: &Address| a.street.clone(),
//! |a: Address, s: String| Address { street: s, ..a },
//! );
//!
//! // Create initial data
//! let person = Person {
//! name: "Alice".to_string(),
//! address: Rc::new(Address {
//! street: "123 Main St".to_string(),
//! city: "Springfield".to_string(),
//! }),
//! };
//!
//! // Update nested field - this will create new structures
//! let updated = address_lens.modify(person.clone(), |addr| {
//! street_lens.set(addr, "456 Oak Ave".to_string())
//! });
//!
//! assert_eq!(updated.address.street, "456 Oak Ave");
//! assert_eq!(updated.address.city, "Springfield");
//!
//! // Demonstrate structural sharing when no actual change is made
//! let unchanged = address_lens.modify(person.clone(), |addr| {
//! street_lens.set(addr, "123 Main St".to_string()) // Same value as before
//! });
//!
//! // Verify it's the same object (structural sharing)
//! assert!(Rc::ptr_eq(&person.address, &unchanged.address));
//! ```
use PhantomData;
use Arc;
/// A lens is a first-class reference to a subpart of some data type.
/// It provides a way to view, modify and transform a part of a larger structure.
///
/// Lenses follow a functional approach to accessing and modifying nested data
/// structures, allowing for immutable updates that preserve the original structure.
///
/// # Type Parameters
///
/// * `S` - The type of the whole structure
/// * `A` - The type of the part being focused on
/// * `GetFn` - The type of the getter function
/// * `SetFn` - The type of the setter function
///
/// # Design Notes
///
/// - Requires both the structure and focused part to be `Clone`
/// - Functions are stored directly to avoid boxing overhead and enable better compiler optimizations
/// - Implements structural sharing optimization when `A` implements `PartialEq`
/// - Provides variants without equality checks (`set_always`, `modify_always`) for types without `PartialEq`
///
/// # Examples
///
/// ```rust
/// use rustica::datatypes::lens::Lens;
///
/// #[derive(Clone)]
/// struct Person {
/// name: String,
/// age: u32,
/// }
///
/// // Create a lens focusing on the name field
/// let name_lens = Lens::new(
/// |p: &Person| p.name.clone(),
/// |p: Person, name: String| Person { name, ..p },
/// );
///
/// let person = Person {
/// name: "Alice".to_string(),
/// age: 30,
/// };
///
/// // Get the name
/// assert_eq!(name_lens.get(&person), "Alice");
///
/// // Update the name
/// let updated = name_lens.set(person.clone(), "Bob".to_string());
/// assert_eq!(updated.name, "Bob");
/// assert_eq!(updated.age, 30);
///
/// // Modify the name
/// let modified = name_lens.modify(person, |name| format!("Ms. {}", name));
/// assert_eq!(modified.name, "Ms. Alice");
/// ```
,
SetFn: Fn ,