core/

primitive_docs.rs

#[rustc_doc_primitive = "bool"]
#[doc(alias = "true")]
#[doc(alias = "false")]
/// The boolean type.
///
/// The `bool` represents a value, which could only be either [`true`] or [`false`]. If you cast
/// a `bool` into an integer, [`true`] will be 1 and [`false`] will be 0.
///
/// # Basic usage
///
/// `bool` implements various traits, such as [`BitAnd`], [`BitOr`], [`Not`], etc.,
/// which allow us to perform boolean operations using `&`, `|` and `!`.
///
/// [`if`] requires a `bool` value as its conditional. [`assert!`], which is an
/// important macro in testing, checks whether an expression is [`true`] and panics
/// if it isn't.
///
/// ```
/// let bool_val = true & false | false;
/// assert!(!bool_val);
/// ```
///
/// [`true`]: ../std/keyword.true.html
/// [`false`]: ../std/keyword.false.html
/// [`BitAnd`]: ops::BitAnd
/// [`BitOr`]: ops::BitOr
/// [`Not`]: ops::Not
/// [`if`]: ../std/keyword.if.html
///
/// # Examples
///
/// A trivial example of the usage of `bool`:
///
/// ```
/// let praise_the_borrow_checker = true;
///
/// // using the `if` conditional
/// if praise_the_borrow_checker {
///     println!("oh, yeah!");
/// } else {
///     println!("what?!!");
/// }
///
/// // ... or, a match pattern
/// match praise_the_borrow_checker {
///     true => println!("keep praising!"),
///     false => println!("you should praise!"),
/// }
/// ```
///
/// Also, since `bool` implements the [`Copy`] trait, we don't
/// have to worry about the move semantics (just like the integer and float primitives).
///
/// Now an example of `bool` cast to integer type:
///
/// ```
/// assert_eq!(true as i32, 1);
/// assert_eq!(false as i32, 0);
/// ```
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_bool {}

#[rustc_doc_primitive = "never"]
#[doc(alias = "!")]
//
/// The `!` type, also called "never".
///
/// `!` represents the type of computations which never resolve to any value at all. For example,
/// the [`exit`] function `fn exit(code: i32) -> !` exits the process without ever returning, and
/// so returns `!`.
///
/// `break`, `continue` and `return` expressions also have type `!`. For example we are allowed to
/// write:
///
/// ```
/// #![feature(never_type)]
/// # fn foo() -> u32 {
/// let x: ! = {
///     return 123
/// };
/// # }
/// ```
///
/// Although the `let` is pointless here, it illustrates the meaning of `!`. Since `x` is never
/// assigned a value (because `return` returns from the entire function), `x` can be given type
/// `!`. We could also replace `return 123` with a `panic!` or a never-ending `loop` and this code
/// would still be valid.
///
/// A more realistic usage of `!` is in this code:
///
/// ```
/// # fn get_a_number() -> Option<u32> { None }
/// # loop {
/// let num: u32 = match get_a_number() {
///     Some(num) => num,
///     None => break,
/// };
/// # }
/// ```
///
/// Both match arms must produce values of type [`u32`], but since `break` never produces a value
/// at all we know it can never produce a value which isn't a [`u32`]. This illustrates another
/// behavior of the `!` type - expressions with type `!` will coerce into any other type.
///
/// [`u32`]: prim@u32
/// [`exit`]: ../std/process/fn.exit.html
///
/// # `!` and generics
///
/// ## Infallible errors
///
/// The main place you'll see `!` used explicitly is in generic code. Consider the [`FromStr`]
/// trait:
///
/// ```
/// trait FromStr: Sized {
///     type Err;
///     fn from_str(s: &str) -> Result<Self, Self::Err>;
/// }
/// ```
///
/// When implementing this trait for [`String`] we need to pick a type for [`Err`]. And since
/// converting a string into a string will never result in an error, the appropriate type is `!`.
/// (Currently the type actually used is an enum with no variants, though this is only because `!`
/// was added to Rust at a later date and it may change in the future.) With an [`Err`] type of
/// `!`, if we have to call [`String::from_str`] for some reason the result will be a
/// [`Result<String, !>`] which we can unpack like this:
///
/// ```
/// use std::str::FromStr;
/// let Ok(s) = String::from_str("hello");
/// ```
///
/// Since the [`Err`] variant contains a `!`, it can never occur. This means we can exhaustively
/// match on [`Result<T, !>`] by just taking the [`Ok`] variant. This illustrates another behavior
/// of `!` - it can be used to "delete" certain enum variants from generic types like `Result`.
///
/// ## Infinite loops
///
/// While [`Result<T, !>`] is very useful for removing errors, `!` can also be used to remove
/// successes as well. If we think of [`Result<T, !>`] as "if this function returns, it has not
/// errored," we get a very intuitive idea of [`Result<!, E>`] as well: if the function returns, it
/// *has* errored.
///
/// For example, consider the case of a simple web server, which can be simplified to:
///
/// ```ignore (hypothetical-example)
/// loop {
///     let (client, request) = get_request().expect("disconnected");
///     let response = request.process();
///     response.send(client);
/// }
/// ```
///
/// Currently, this isn't ideal, because we simply panic whenever we fail to get a new connection.
/// Instead, we'd like to keep track of this error, like this:
///
/// ```ignore (hypothetical-example)
/// loop {
///     match get_request() {
///         Err(err) => break err,
///         Ok((client, request)) => {
///             let response = request.process();
///             response.send(client);
///         },
///     }
/// }
/// ```
///
/// Now, when the server disconnects, we exit the loop with an error instead of panicking. While it
/// might be intuitive to simply return the error, we might want to wrap it in a [`Result<!, E>`]
/// instead:
///
/// ```ignore (hypothetical-example)
/// fn server_loop() -> Result<!, ConnectionError> {
///     loop {
///         let (client, request) = get_request()?;
///         let response = request.process();
///         response.send(client);
///     }
/// }
/// ```
///
/// Now, we can use `?` instead of `match`, and the return type makes a lot more sense: if the loop
/// ever stops, it means that an error occurred. We don't even have to wrap the loop in an `Ok`
/// because `!` coerces to `Result<!, ConnectionError>` automatically.
///
/// [`String::from_str`]: str::FromStr::from_str
/// [`String`]: ../std/string/struct.String.html
/// [`FromStr`]: str::FromStr
///
/// # `!` and traits
///
/// When writing your own traits, `!` should have an `impl` whenever there is an obvious `impl`
/// which doesn't `panic!`. The reason is that functions returning an `impl Trait` where `!`
/// does not have an `impl` of `Trait` cannot diverge as their only possible code path. In other
/// words, they can't return `!` from every code path. As an example, this code doesn't compile:
///
/// ```compile_fail
/// use std::ops::Add;
///
/// fn foo() -> impl Add<u32> {
///     unimplemented!()
/// }
/// ```
///
/// But this code does:
///
/// ```
/// use std::ops::Add;
///
/// fn foo() -> impl Add<u32> {
///     if true {
///         unimplemented!()
///     } else {
///         0
///     }
/// }
/// ```
///
/// The reason is that, in the first example, there are many possible types that `!` could coerce
/// to, because many types implement `Add<u32>`. However, in the second example,
/// the `else` branch returns a `0`, which the compiler infers from the return type to be of type
/// `u32`. Since `u32` is a concrete type, `!` can and will be coerced to it. See issue [#36375]
/// for more information on this quirk of `!`.
///
/// [#36375]: https://github.com/rust-lang/rust/issues/36375
///
/// As it turns out, though, most traits can have an `impl` for `!`. Take [`Debug`]
/// for example:
///
/// ```
/// #![feature(never_type)]
/// # use std::fmt;
/// # trait Debug {
/// #     fn fmt(&self, formatter: &mut fmt::Formatter<'_>) -> fmt::Result;
/// # }
/// impl Debug for ! {
///     fn fmt(&self, formatter: &mut fmt::Formatter<'_>) -> fmt::Result {
///         *self
///     }
/// }
/// ```
///
/// Once again we're using `!`'s ability to coerce into any other type, in this case
/// [`fmt::Result`]. Since this method takes a `&!` as an argument we know that it can never be
/// called (because there is no value of type `!` for it to be called with). Writing `*self`
/// essentially tells the compiler "We know that this code can never be run, so just treat the
/// entire function body as having type [`fmt::Result`]". This pattern can be used a lot when
/// implementing traits for `!`. Generally, any trait which only has methods which take a `self`
/// parameter should have such an impl.
///
/// On the other hand, one trait which would not be appropriate to implement is [`Default`]:
///
/// ```
/// trait Default {
///     fn default() -> Self;
/// }
/// ```
///
/// Since `!` has no values, it has no default value either. It's true that we could write an
/// `impl` for this which simply panics, but the same is true for any type (we could `impl
/// Default` for (eg.) [`File`] by just making [`default()`] panic.)
///
/// [`File`]: ../std/fs/struct.File.html
/// [`Debug`]: fmt::Debug
/// [`default()`]: Default::default
///
/// # Never type fallback
///
/// When the compiler sees a value of type `!` in a [coercion site], it implicitly inserts a
/// coercion to allow the type checker to infer any type:
///
/// ```rust,ignore (illustrative-and-has-placeholders)
/// // this
/// let x: u8 = panic!();
///
/// // is (essentially) turned by the compiler into
/// let x: u8 = absurd(panic!());
///
/// // where absurd is a function with the following signature
/// // (it's sound, because `!` always marks unreachable code):
/// fn absurd<T>(_: !) -> T { ... }
// FIXME: use `core::convert::absurd` here instead, once it's merged
/// ```
///
/// This can lead to compilation errors if the type cannot be inferred:
///
/// ```compile_fail
/// // this
/// { panic!() };
///
/// // gets turned into this
/// { absurd(panic!()) }; // error: can't infer the type of `absurd`
/// ```
///
/// To prevent such errors, the compiler remembers where it inserted `absurd` calls, and
/// if it can't infer the type, it uses the fallback type instead:
/// ```rust, ignore
/// type Fallback = /* An arbitrarily selected type! */;
/// { absurd::<Fallback>(panic!()) }
/// ```
///
/// This is what is known as "never type fallback".
///
/// Historically, the fallback type was [`()`], causing confusing behavior where `!` spontaneously
/// coerced to `()`, even when it would not infer `()` without the fallback. The fallback was changed
/// to `!` in the [2024 edition], and will be changed in all editions at a later date.
///
/// [coercion site]: <https://doc.rust-lang.org/reference/type-coercions.html#coercion-sites>
/// [`()`]: prim@unit
/// [2024 edition]: <https://doc.rust-lang.org/edition-guide/rust-2024/never-type-fallback.html>
///
#[unstable(feature = "never_type", issue = "35121")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_never {}

// Required to make auto trait impls render.
// See src/librustdoc/passes/collect_trait_impls.rs:collect_trait_impls
#[doc(hidden)]
impl ! {}

#[rustc_doc_primitive = "char"]
#[allow(rustdoc::invalid_rust_codeblocks)]
/// A character type.
///
/// The `char` type represents a single character. More specifically, since
/// 'character' isn't a well-defined concept in Unicode, `char` is a '[Unicode
/// scalar value]'.
///
/// This documentation describes a number of methods and trait implementations on the
/// `char` type. For technical reasons, there is additional, separate
/// documentation in [the `std::char` module](char/index.html) as well.
///
/// # Validity and Layout
///
/// A `char` is a '[Unicode scalar value]', which is any '[Unicode code point]'
/// other than a [surrogate code point]. This has a fixed numerical definition:
/// code points are in the range 0 to 0x10FFFF, inclusive.
/// Surrogate code points, used by UTF-16, are in the range 0xD800 to 0xDFFF.
///
/// No `char` may be constructed, whether as a literal or at runtime, that is not a
/// Unicode scalar value. Violating this rule causes undefined behavior.
///
/// ```compile_fail
/// // Each of these is a compiler error
/// ['\u{D800}', '\u{DFFF}', '\u{110000}'];
/// ```
///
/// ```should_panic
/// // Panics; from_u32 returns None.
/// char::from_u32(0xDE01).unwrap();
/// ```
///
/// ```no_run
/// // Undefined behavior
/// let _ = unsafe { char::from_u32_unchecked(0x110000) };
/// ```
///
/// Unicode scalar values are also the exact set of values that may be encoded in UTF-8. Because
/// `char` values are Unicode scalar values and functions may assume [incoming `str` values are
/// valid UTF-8](primitive.str.html#invariant), it is safe to store any `char` in a `str` or read
/// any character from a `str` as a `char`.
///
/// The gap in valid `char` values is understood by the compiler, so in the
/// below example the two ranges are understood to cover the whole range of
/// possible `char` values and there is no error for a [non-exhaustive match].
///
/// ```
/// let c: char = 'a';
/// match c {
///     '\0' ..= '\u{D7FF}' => false,
///     '\u{E000}' ..= '\u{10FFFF}' => true,
/// };
/// ```
///
/// All Unicode scalar values are valid `char` values, but not all of them represent a real
/// character. Many Unicode scalar values are not currently assigned to a character, but may be in
/// the future ("reserved"); some will never be a character ("noncharacters"); and some may be given
/// different meanings by different users ("private use").
///
/// `char` is guaranteed to have the same size, alignment, and function call ABI as `u32` on all
/// platforms.
/// ```
/// use std::alloc::Layout;
/// assert_eq!(Layout::new::<char>(), Layout::new::<u32>());
/// ```
///
/// [Unicode code point]: https://www.unicode.org/glossary/#code_point
/// [Unicode scalar value]: https://www.unicode.org/glossary/#unicode_scalar_value
/// [non-exhaustive match]: ../book/ch06-02-match.html#matches-are-exhaustive
/// [surrogate code point]: https://www.unicode.org/glossary/#surrogate_code_point
///
/// # Representation
///
/// `char` is always four bytes in size. This is a different representation than
/// a given character would have as part of a [`String`]. For example:
///
/// ```
/// let v = vec!['h', 'e', 'l', 'l', 'o'];
///
/// // five elements times four bytes for each element
/// assert_eq!(20, v.len() * size_of::<char>());
///
/// let s = String::from("hello");
///
/// // five elements times one byte per element
/// assert_eq!(5, s.len() * size_of::<u8>());
/// ```
///
/// [`String`]: ../std/string/struct.String.html
///
/// As always, remember that a human intuition for 'character' might not map to
/// Unicode's definitions. For example, despite looking similar, the 'é'
/// character is one Unicode code point while 'é' is two Unicode code points:
///
/// ```
/// let mut chars = "é".chars();
/// // U+00e9: 'latin small letter e with acute'
/// assert_eq!(Some('\u{00e9}'), chars.next());
/// assert_eq!(None, chars.next());
///
/// let mut chars = "é".chars();
/// // U+0065: 'latin small letter e'
/// assert_eq!(Some('\u{0065}'), chars.next());
/// // U+0301: 'combining acute accent'
/// assert_eq!(Some('\u{0301}'), chars.next());
/// assert_eq!(None, chars.next());
/// ```
///
/// This means that the contents of the first string above _will_ fit into a
/// `char` while the contents of the second string _will not_. Trying to create
/// a `char` literal with the contents of the second string gives an error:
///
/// ```text
/// error: character literal may only contain one codepoint: 'é'
/// let c = 'é';
///         ^^^
/// ```
///
/// Another implication of the 4-byte fixed size of a `char` is that
/// per-`char` processing can end up using a lot more memory:
///
/// ```
/// let s = String::from("love: ❤️");
/// let v: Vec<char> = s.chars().collect();
///
/// assert_eq!(12, size_of_val(&s[..]));
/// assert_eq!(32, size_of_val(&v[..]));
/// ```
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_char {}

#[rustc_doc_primitive = "unit"]
#[doc(alias = "(")]
#[doc(alias = ")")]
#[doc(alias = "()")]
//
/// The `()` type, also called "unit".
///
/// The `()` type has exactly one value `()`, and is used when there
/// is no other meaningful value that could be returned. `()` is most
/// commonly seen implicitly: functions without a `-> ...` implicitly
/// have return type `()`, that is, these are equivalent:
///
/// ```rust
/// fn long() -> () {}
///
/// fn short() {}
/// ```
///
/// The semicolon `;` can be used to discard the result of an
/// expression at the end of a block, making the expression (and thus
/// the block) evaluate to `()`. For example,
///
/// ```rust
/// fn returns_i64() -> i64 {
///     1i64
/// }
/// fn returns_unit() {
///     1i64;
/// }
///
/// let is_i64 = {
///     returns_i64()
/// };
/// let is_unit = {
///     returns_i64();
/// };
/// ```
///
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_unit {}

// Required to make auto trait impls render.
// See src/librustdoc/passes/collect_trait_impls.rs:collect_trait_impls
#[doc(hidden)]
#[cfg(not(feature = "ferrocene_certified"))]
impl () {}

#[rustc_doc_primitive = "pointer"]
#[doc(alias = "ptr")]
#[doc(alias = "*")]
#[doc(alias = "*const")]
#[doc(alias = "*mut")]
//
/// Raw, unsafe pointers, `*const T`, and `*mut T`.
///
/// *[See also the `std::ptr` module](ptr).*
///
/// Working with raw pointers in Rust is uncommon, typically limited to a few patterns. Raw pointers
/// can be out-of-bounds, unaligned, or [`null`]. However, when loading from or storing to a raw
/// pointer, it must be [valid] for the given access and aligned. When using a field expression,
/// tuple index expression, or array/slice index expression on a raw pointer, it follows the rules
/// of [in-bounds pointer arithmetic][`offset`].
///
/// Storing through a raw pointer using `*ptr = data` calls `drop` on the old value, so
/// [`write`] must be used if the type has drop glue and memory is not already
/// initialized - otherwise `drop` would be called on the uninitialized memory.
///
/// Use the [`null`] and [`null_mut`] functions to create null pointers, and the
/// [`is_null`] method of the `*const T` and `*mut T` types to check for null.
/// The `*const T` and `*mut T` types also define the [`offset`] method, for
/// pointer math.
///
/// # Common ways to create raw pointers
///
/// ## 1. Coerce a reference (`&T`) or mutable reference (`&mut T`).
///
/// ```
/// let my_num: i32 = 10;
/// let my_num_ptr: *const i32 = &my_num;
/// let mut my_speed: i32 = 88;
/// let my_speed_ptr: *mut i32 = &mut my_speed;
/// ```
///
/// To get a pointer to a boxed value, dereference the box:
///
/// ```
/// let my_num: Box<i32> = Box::new(10);
/// let my_num_ptr: *const i32 = &*my_num;
/// let mut my_speed: Box<i32> = Box::new(88);
/// let my_speed_ptr: *mut i32 = &mut *my_speed;
/// ```
///
/// This does not take ownership of the original allocation
/// and requires no resource management later,
/// but you must not use the pointer after its lifetime.
///
/// ## 2. Consume a box (`Box<T>`).
///
/// The [`into_raw`] function consumes a box and returns
/// the raw pointer. It doesn't destroy `T` or deallocate any memory.
///
/// ```
/// let my_speed: Box<i32> = Box::new(88);
/// let my_speed: *mut i32 = Box::into_raw(my_speed);
///
/// // By taking ownership of the original `Box<T>` though
/// // we are obligated to put it together later to be destroyed.
/// unsafe {
///     drop(Box::from_raw(my_speed));
/// }
/// ```
///
/// Note that here the call to [`drop`] is for clarity - it indicates
/// that we are done with the given value and it should be destroyed.
///
/// ## 3. Create it using `&raw`
///
/// Instead of coercing a reference to a raw pointer, you can use the raw borrow
/// operators `&raw const` (for `*const T`) and `&raw mut` (for `*mut T`).
/// These operators allow you to create raw pointers to fields to which you cannot
/// create a reference (without causing undefined behavior), such as an
/// unaligned field. This might be necessary if packed structs or uninitialized
/// memory is involved.
///
/// ```
/// #[derive(Debug, Default, Copy, Clone)]
/// #[repr(C, packed)]
/// struct S {
///     aligned: u8,
///     unaligned: u32,
/// }
/// let s = S::default();
/// let p = &raw const s.unaligned; // not allowed with coercion
/// ```
///
/// ## 4. Get it from C.
///
/// ```
/// # mod libc {
/// # pub unsafe fn malloc(_size: usize) -> *mut core::ffi::c_void { core::ptr::NonNull::dangling().as_ptr() }
/// # pub unsafe fn free(_ptr: *mut core::ffi::c_void) {}
/// # }
/// # #[cfg(any())]
/// #[allow(unused_extern_crates)]
/// extern crate libc;
///
/// unsafe {
///     let my_num: *mut i32 = libc::malloc(size_of::<i32>()) as *mut i32;
///     if my_num.is_null() {
///         panic!("failed to allocate memory");
///     }
///     libc::free(my_num as *mut core::ffi::c_void);
/// }
/// ```
///
/// Usually you wouldn't literally use `malloc` and `free` from Rust,
/// but C APIs hand out a lot of pointers generally, so are a common source
/// of raw pointers in Rust.
///
/// [`null`]: ptr::null
/// [`null_mut`]: ptr::null_mut
/// [`is_null`]: pointer::is_null
/// [`offset`]: pointer::offset
/// [`into_raw`]: ../std/boxed/struct.Box.html#method.into_raw
/// [`write`]: ptr::write
/// [valid]: ptr#safety
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_pointer {}

#[rustc_doc_primitive = "array"]
#[doc(alias = "[]")]
#[doc(alias = "[T;N]")] // unfortunately, rustdoc doesn't have fuzzy search for aliases
#[doc(alias = "[T; N]")]
/// A fixed-size array, denoted `[T; N]`, for the element type, `T`, and the
/// non-negative compile-time constant size, `N`.
///
/// There are two syntactic forms for creating an array:
///
/// * A list with each element, i.e., `[x, y, z]`.
/// * A repeat expression `[expr; N]` where `N` is how many times to repeat `expr` in the array. `expr` must either be:
///
///   * A value of a type implementing the [`Copy`] trait
///   * A `const` value
///
/// Note that `[expr; 0]` is allowed, and produces an empty array.
/// This will still evaluate `expr`, however, and immediately drop the resulting value, so
/// be mindful of side effects.
///
/// Arrays of *any* size implement the following traits if the element type allows it:
///
/// - [`Copy`]
/// - [`Clone`]
/// - [`Debug`]
/// - [`IntoIterator`] (implemented for `[T; N]`, `&[T; N]` and `&mut [T; N]`)
/// - [`PartialEq`], [`PartialOrd`], [`Eq`], [`Ord`]
/// - [`Hash`]
/// - [`AsRef`], [`AsMut`]
/// - [`Borrow`], [`BorrowMut`]
///
/// Arrays of sizes from 0 to 32 (inclusive) implement the [`Default`] trait
/// if the element type allows it. As a stopgap, trait implementations are
/// statically generated up to size 32.
///
/// Arrays of sizes from 1 to 12 (inclusive) implement [`From<Tuple>`], where `Tuple`
/// is a homogeneous [prim@tuple] of appropriate length.
///
/// Arrays coerce to [slices (`[T]`)][slice], so a slice method may be called on
/// an array. Indeed, this provides most of the API for working with arrays.
///
/// Slices have a dynamic size and do not coerce to arrays. Instead, use
/// `slice.try_into().unwrap()` or `<ArrayType>::try_from(slice).unwrap()`.
///
/// Array's `try_from(slice)` implementations (and the corresponding `slice.try_into()`
/// array implementations) succeed if the input slice length is the same as the result
/// array length. They optimize especially well when the optimizer can easily determine
/// the slice length, e.g. `<[u8; 4]>::try_from(&slice[4..8]).unwrap()`. Array implements
/// [TryFrom](crate::convert::TryFrom) returning:
///
/// - `[T; N]` copies from the slice's elements
/// - `&[T; N]` references the original slice's elements
/// - `&mut [T; N]` references the original slice's elements
///
/// You can move elements out of an array with a [slice pattern]. If you want
/// one element, see [`mem::replace`].
///
/// # Examples
///
/// ```
/// let mut array: [i32; 3] = [0; 3];
///
/// array[1] = 1;
/// array[2] = 2;
///
/// assert_eq!([1, 2], &array[1..]);
///
/// // This loop prints: 0 1 2
/// for x in array {
///     print!("{x} ");
/// }
/// ```
///
/// You can also iterate over reference to the array's elements:
///
/// ```
/// let array: [i32; 3] = [0; 3];
///
/// for x in &array { }
/// ```
///
/// You can use `<ArrayType>::try_from(slice)` or `slice.try_into()` to get an array from
/// a slice:
///
/// ```
/// let bytes: [u8; 3] = [1, 0, 2];
/// assert_eq!(1, u16::from_le_bytes(<[u8; 2]>::try_from(&bytes[0..2]).unwrap()));
/// assert_eq!(512, u16::from_le_bytes(bytes[1..3].try_into().unwrap()));
/// ```
///
/// You can use a [slice pattern] to move elements out of an array:
///
/// ```
/// fn move_away(_: String) { /* Do interesting things. */ }
///
/// let [john, roa] = ["John".to_string(), "Roa".to_string()];
/// move_away(john);
/// move_away(roa);
/// ```
///
/// Arrays can be created from homogeneous tuples of appropriate length:
///
/// ```
/// let tuple: (u32, u32, u32) = (1, 2, 3);
/// let array: [u32; 3] = tuple.into();
/// ```
///
/// # Editions
///
/// Prior to Rust 1.53, arrays did not implement [`IntoIterator`] by value, so the method call
/// `array.into_iter()` auto-referenced into a [slice iterator](slice::iter). Right now, the old
/// behavior is preserved in the 2015 and 2018 editions of Rust for compatibility, ignoring
/// [`IntoIterator`] by value. In the future, the behavior on the 2015 and 2018 edition
/// might be made consistent to the behavior of later editions.
///
/// ```rust,edition2018
/// // Rust 2015 and 2018:
///
/// # #![allow(array_into_iter)] // override our `deny(warnings)`
/// let array: [i32; 3] = [0; 3];
///
/// // This creates a slice iterator, producing references to each value.
/// for item in array.into_iter().enumerate() {
///     let (i, x): (usize, &i32) = item;
///     println!("array[{i}] = {x}");
/// }
///
/// // The `array_into_iter` lint suggests this change for future compatibility:
/// for item in array.iter().enumerate() {
///     let (i, x): (usize, &i32) = item;
///     println!("array[{i}] = {x}");
/// }
///
/// // You can explicitly iterate an array by value using `IntoIterator::into_iter`
/// for item in IntoIterator::into_iter(array).enumerate() {
///     let (i, x): (usize, i32) = item;
///     println!("array[{i}] = {x}");
/// }
/// ```
///
/// Starting in the 2021 edition, `array.into_iter()` uses `IntoIterator` normally to iterate
/// by value, and `iter()` should be used to iterate by reference like previous editions.
///
/// ```rust,edition2021
/// // Rust 2021:
///
/// let array: [i32; 3] = [0; 3];
///
/// // This iterates by reference:
/// for item in array.iter().enumerate() {
///     let (i, x): (usize, &i32) = item;
///     println!("array[{i}] = {x}");
/// }
///
/// // This iterates by value:
/// for item in array.into_iter().enumerate() {
///     let (i, x): (usize, i32) = item;
///     println!("array[{i}] = {x}");
/// }
/// ```
///
/// Future language versions might start treating the `array.into_iter()`
/// syntax on editions 2015 and 2018 the same as on edition 2021. So code using
/// those older editions should still be written with this change in mind, to
/// prevent breakage in the future. The safest way to accomplish this is to
/// avoid the `into_iter` syntax on those editions. If an edition update is not
/// viable/desired, there are multiple alternatives:
/// * use `iter`, equivalent to the old behavior, creating references
/// * use [`IntoIterator::into_iter`], equivalent to the post-2021 behavior (Rust 1.53+)
/// * replace `for ... in array.into_iter() {` with `for ... in array {`,
///   equivalent to the post-2021 behavior (Rust 1.53+)
///
/// ```rust,edition2018
/// // Rust 2015 and 2018:
///
/// let array: [i32; 3] = [0; 3];
///
/// // This iterates by reference:
/// for item in array.iter() {
///     let x: &i32 = item;
///     println!("{x}");
/// }
///
/// // This iterates by value:
/// for item in IntoIterator::into_iter(array) {
///     let x: i32 = item;
///     println!("{x}");
/// }
///
/// // This iterates by value:
/// for item in array {
///     let x: i32 = item;
///     println!("{x}");
/// }
///
/// // IntoIter can also start a chain.
/// // This iterates by value:
/// for item in IntoIterator::into_iter(array).enumerate() {
///     let (i, x): (usize, i32) = item;
///     println!("array[{i}] = {x}");
/// }
/// ```
///
/// [slice]: prim@slice
/// [`Debug`]: fmt::Debug
/// [`Hash`]: hash::Hash
/// [`Borrow`]: borrow::Borrow
/// [`BorrowMut`]: borrow::BorrowMut
/// [slice pattern]: ../reference/patterns.html#slice-patterns
/// [`From<Tuple>`]: convert::From
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_array {}

#[rustc_doc_primitive = "slice"]
#[doc(alias = "[")]
#[doc(alias = "]")]
#[doc(alias = "[]")]
/// A dynamically-sized view into a contiguous sequence, `[T]`.
///
/// Contiguous here means that elements are laid out so that every element is the same
/// distance from its neighbors.
///
/// *[See also the `std::slice` module](crate::slice).*
///
/// Slices are a view into a block of memory represented as a pointer and a
/// length.
///
/// ```
/// // slicing a Vec
/// let vec = vec![1, 2, 3];
/// let int_slice = &vec[..];
/// // coercing an array to a slice
/// let str_slice: &[&str] = &["one", "two", "three"];
/// ```
///
/// Slices are either mutable or shared. The shared slice type is `&[T]`,
/// while the mutable slice type is `&mut [T]`, where `T` represents the element
/// type. For example, you can mutate the block of memory that a mutable slice
/// points to:
///
/// ```
/// let mut x = [1, 2, 3];
/// let x = &mut x[..]; // Take a full slice of `x`.
/// x[1] = 7;
/// assert_eq!(x, &[1, 7, 3]);
/// ```
///
/// It is possible to slice empty subranges of slices by using empty ranges (including `slice.len()..slice.len()`):
/// ```
/// let x = [1, 2, 3];
/// let empty = &x[0..0];   // subslice before the first element
/// assert_eq!(empty, &[]);
/// let empty = &x[..0];    // same as &x[0..0]
/// assert_eq!(empty, &[]);
/// let empty = &x[1..1];   // empty subslice in the middle
/// assert_eq!(empty, &[]);
/// let empty = &x[3..3];   // subslice after the last element
/// assert_eq!(empty, &[]);
/// let empty = &x[3..];    // same as &x[3..3]
/// assert_eq!(empty, &[]);
/// ```
///
/// It is not allowed to use subranges that start with lower bound bigger than `slice.len()`:
/// ```should_panic
/// let x = vec![1, 2, 3];
/// let _ = &x[4..4];
/// ```
///
/// As slices store the length of the sequence they refer to, they have twice
/// the size of pointers to [`Sized`](marker/trait.Sized.html) types.
/// Also see the reference on
/// [dynamically sized types](../reference/dynamically-sized-types.html).
///
/// ```
/// # use std::rc::Rc;
/// let pointer_size = size_of::<&u8>();
/// assert_eq!(2 * pointer_size, size_of::<&[u8]>());
/// assert_eq!(2 * pointer_size, size_of::<*const [u8]>());
/// assert_eq!(2 * pointer_size, size_of::<Box<[u8]>>());
/// assert_eq!(2 * pointer_size, size_of::<Rc<[u8]>>());
/// ```
///
/// ## Trait Implementations
///
/// Some traits are implemented for slices if the element type implements
/// that trait. This includes [`Eq`], [`Hash`] and [`Ord`].
///
/// ## Iteration
///
/// The slices implement `IntoIterator`. The iterator yields references to the
/// slice elements.
///
/// ```
/// let numbers: &[i32] = &[0, 1, 2];
/// for n in numbers {
///     println!("{n} is a number!");
/// }
/// ```
///
/// The mutable slice yields mutable references to the elements:
///
/// ```
/// let mut scores: &mut [i32] = &mut [7, 8, 9];
/// for score in scores {
///     *score += 1;
/// }
/// ```
///
/// This iterator yields mutable references to the slice's elements, so while
/// the element type of the slice is `i32`, the element type of the iterator is
/// `&mut i32`.
///
/// * [`.iter`] and [`.iter_mut`] are the explicit methods to return the default
///   iterators.
/// * Further methods that return iterators are [`.split`], [`.splitn`],
///   [`.chunks`], [`.windows`] and more.
///
/// [`Hash`]: core::hash::Hash
/// [`.iter`]: slice::iter
/// [`.iter_mut`]: slice::iter_mut
/// [`.split`]: slice::split
/// [`.splitn`]: slice::splitn
/// [`.chunks`]: slice::chunks
/// [`.windows`]: slice::windows
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_slice {}

#[rustc_doc_primitive = "str"]
/// String slices.
///
/// *[See also the `std::str` module](crate::str).*
///
/// The `str` type, also called a 'string slice', is the most primitive string
/// type. It is usually seen in its borrowed form, `&str`. It is also the type
/// of string literals, `&'static str`.
///
/// # Basic Usage
///
/// String literals are string slices:
///
/// ```
/// let hello_world = "Hello, World!";
/// ```
///
/// Here we have declared a string slice initialized with a string literal.
/// String literals have a static lifetime, which means the string `hello_world`
/// is guaranteed to be valid for the duration of the entire program.
/// We can explicitly specify `hello_world`'s lifetime as well:
///
/// ```
/// let hello_world: &'static str = "Hello, world!";
/// ```
///
/// # Representation
///
/// A `&str` is made up of two components: a pointer to some bytes, and a
/// length. You can look at these with the [`as_ptr`] and [`len`] methods:
///
/// ```
/// use std::slice;
/// use std::str;
///
/// let story = "Once upon a time...";
///
/// let ptr = story.as_ptr();
/// let len = story.len();
///
/// // story has nineteen bytes
/// assert_eq!(19, len);
///
/// // We can re-build a str out of ptr and len. This is all unsafe because
/// // we are responsible for making sure the two components are valid:
/// let s = unsafe {
///     // First, we build a &[u8]...
///     let slice = slice::from_raw_parts(ptr, len);
///
///     // ... and then convert that slice into a string slice
///     str::from_utf8(slice)
/// };
///
/// assert_eq!(s, Ok(story));
/// ```
///
/// [`as_ptr`]: str::as_ptr
/// [`len`]: str::len
///
/// Note: This example shows the internals of `&str`. `unsafe` should not be
/// used to get a string slice under normal circumstances. Use `as_str`
/// instead.
///
/// # Invariant
///
/// Rust libraries may assume that string slices are always valid UTF-8.
///
/// Constructing a non-UTF-8 string slice is not immediate undefined behavior, but any function
/// called on a string slice may assume that it is valid UTF-8, which means that a non-UTF-8 string
/// slice can lead to undefined behavior down the road.
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_str {}

#[rustc_doc_primitive = "tuple"]
#[doc(alias = "(")]
#[doc(alias = ")")]
#[doc(alias = "()")]
//
/// A finite heterogeneous sequence, `(T, U, ..)`.
///
/// Let's cover each of those in turn:
///
/// Tuples are *finite*. In other words, a tuple has a length. Here's a tuple
/// of length `3`:
///
/// ```
/// ("hello", 5, 'c');
/// ```
///
/// 'Length' is also sometimes called 'arity' here; each tuple of a different
/// length is a different, distinct type.
///
/// Tuples are *heterogeneous*. This means that each element of the tuple can
/// have a different type. In that tuple above, it has the type:
///
/// ```
/// # let _:
/// (&'static str, i32, char)
/// # = ("hello", 5, 'c');
/// ```
///
/// Tuples are a *sequence*. This means that they can be accessed by position;
/// this is called 'tuple indexing', and it looks like this:
///
/// ```rust
/// let tuple = ("hello", 5, 'c');
///
/// assert_eq!(tuple.0, "hello");
/// assert_eq!(tuple.1, 5);
/// assert_eq!(tuple.2, 'c');
/// ```
///
/// The sequential nature of the tuple applies to its implementations of various
/// traits. For example, in [`PartialOrd`] and [`Ord`], the elements are compared
/// sequentially until the first non-equal set is found.
///
/// For more about tuples, see [the book](../book/ch03-02-data-types.html#the-tuple-type).
///
// Hardcoded anchor in src/librustdoc/html/format.rs
// linked to as `#trait-implementations-1`
/// # Trait implementations
///
/// In this documentation the shorthand `(T₁, T₂, …, Tₙ)` is used to represent tuples of varying
/// length. When that is used, any trait bound expressed on `T` applies to each element of the
/// tuple independently. Note that this is a convenience notation to avoid repetitive
/// documentation, not valid Rust syntax.
///
/// Due to a temporary restriction in Rust’s type system, the following traits are only
/// implemented on tuples of arity 12 or less. In the future, this may change:
///
/// * [`PartialEq`]
/// * [`Eq`]
/// * [`PartialOrd`]
/// * [`Ord`]
/// * [`Debug`]
/// * [`Default`]
/// * [`Hash`]
/// * [`From<[T; N]>`][from]
///
/// [from]: convert::From
/// [`Debug`]: fmt::Debug
/// [`Hash`]: hash::Hash
///
/// The following traits are implemented for tuples of any length. These traits have
/// implementations that are automatically generated by the compiler, so are not limited by
/// missing language features.
///
/// * [`Clone`]
/// * [`Copy`]
/// * [`Send`]
/// * [`Sync`]
/// * [`Unpin`]
/// * [`UnwindSafe`]
/// * [`RefUnwindSafe`]
///
/// [`UnwindSafe`]: panic::UnwindSafe
/// [`RefUnwindSafe`]: panic::RefUnwindSafe
///
/// # Examples
///
/// Basic usage:
///
/// ```
/// let tuple = ("hello", 5, 'c');
///
/// assert_eq!(tuple.0, "hello");
/// ```
///
/// Tuples are often used as a return type when you want to return more than
/// one value:
///
/// ```
/// fn calculate_point() -> (i32, i32) {
///     // Don't do a calculation, that's not the point of the example
///     (4, 5)
/// }
///
/// let point = calculate_point();
///
/// assert_eq!(point.0, 4);
/// assert_eq!(point.1, 5);
///
/// // Combining this with patterns can be nicer.
///
/// let (x, y) = calculate_point();
///
/// assert_eq!(x, 4);
/// assert_eq!(y, 5);
/// ```
///
/// Homogeneous tuples can be created from arrays of appropriate length:
///
/// ```
/// let array: [u32; 3] = [1, 2, 3];
/// let tuple: (u32, u32, u32) = array.into();
/// ```
///
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_tuple {}

// Required to make auto trait impls render.
// See src/librustdoc/passes/collect_trait_impls.rs:collect_trait_impls
#[doc(hidden)]
impl<T> (T,) {}

#[rustc_doc_primitive = "f16"]
#[doc(alias = "half")]
/// A 16-bit floating-point type (specifically, the "binary16" type defined in IEEE 754-2008).
///
/// This type is very similar to [`prim@f32`] but has decreased precision because it uses half as many
/// bits. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on half-precision
/// values][wikipedia] for more information.
///
/// Note that most common platforms will not support `f16` in hardware without enabling extra target
/// features, with the notable exception of Apple Silicon (also known as M1, M2, etc.) processors.
/// Hardware support on x86/x86-64 requires the avx512fp16 or avx10.1 features, while RISC-V requires
/// Zfh, and Arm/AArch64 requires FEAT_FP16.  Usually the fallback implementation will be to use `f32`
/// hardware if it exists, and convert between `f16` and `f32` when performing math.
///
/// *[See also the `std::f16::consts` module](crate::f16::consts).*
///
/// [wikipedia]: https://en.wikipedia.org/wiki/Half-precision_floating-point_format
#[unstable(feature = "f16", issue = "116909")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_f16 {}

#[rustc_doc_primitive = "f32"]
#[doc(alias = "single")]
/// A 32-bit floating-point type (specifically, the "binary32" type defined in IEEE 754-2008).
///
/// This type can represent a wide range of decimal numbers, like `3.5`, `27`,
/// `-113.75`, `0.0078125`, `34359738368`, `0`, `-1`. So unlike integer types
/// (such as `i32`), floating-point types can represent non-integer numbers,
/// too.
///
/// However, being able to represent this wide range of numbers comes at the
/// cost of precision: floats can only represent some of the real numbers and
/// calculation with floats round to a nearby representable number. For example,
/// `5.0` and `1.0` can be exactly represented as `f32`, but `1.0 / 5.0` results
/// in `0.20000000298023223876953125` since `0.2` cannot be exactly represented
/// as `f32`. Note, however, that printing floats with `println` and friends will
/// often discard insignificant digits: `println!("{}", 1.0f32 / 5.0f32)` will
/// print `0.2`.
///
/// Additionally, `f32` can represent some special values:
///
/// - −0.0: IEEE 754 floating-point numbers have a bit that indicates their sign, so −0.0 is a
///   possible value. For comparison −0.0 = +0.0, but floating-point operations can carry
///   the sign bit through arithmetic operations. This means −0.0 × +0.0 produces −0.0 and
///   a negative number rounded to a value smaller than a float can represent also produces −0.0.
/// - [∞](#associatedconstant.INFINITY) and
///   [−∞](#associatedconstant.NEG_INFINITY): these result from calculations
///   like `1.0 / 0.0`.
/// - [NaN (not a number)](#associatedconstant.NAN): this value results from
///   calculations like `(-1.0).sqrt()`. NaN has some potentially unexpected
///   behavior:
///   - It is not equal to any float, including itself! This is the reason `f32`
///     doesn't implement the `Eq` trait.
///   - It is also neither smaller nor greater than any float, making it
///     impossible to sort by the default comparison operation, which is the
///     reason `f32` doesn't implement the `Ord` trait.
///   - It is also considered *infectious* as almost all calculations where one
///     of the operands is NaN will also result in NaN. The explanations on this
///     page only explicitly document behavior on NaN operands if this default
///     is deviated from.
///   - Lastly, there are multiple bit patterns that are considered NaN.
///     Rust does not currently guarantee that the bit patterns of NaN are
///     preserved over arithmetic operations, and they are not guaranteed to be
///     portable or even fully deterministic! This means that there may be some
///     surprising results upon inspecting the bit patterns,
///     as the same calculations might produce NaNs with different bit patterns.
///     This also affects the sign of the NaN: checking `is_sign_positive` or `is_sign_negative` on
///     a NaN is the most common way to run into these surprising results.
///     (Checking `x >= 0.0` or `x <= 0.0` avoids those surprises, but also how negative/positive
///     zero are treated.)
///     See the section below for what exactly is guaranteed about the bit pattern of a NaN.
///
/// When a primitive operation (addition, subtraction, multiplication, or
/// division) is performed on this type, the result is rounded according to the
/// roundTiesToEven direction defined in IEEE 754-2008. That means:
///
/// - The result is the representable value closest to the true value, if there
///   is a unique closest representable value.
/// - If the true value is exactly half-way between two representable values,
///   the result is the one with an even least-significant binary digit.
/// - If the true value's magnitude is ≥ `f32::MAX` + 2<sup>(`f32::MAX_EXP` −
///   `f32::MANTISSA_DIGITS` − 1)</sup>, the result is ∞ or −∞ (preserving the
///   true value's sign).
/// - If the result of a sum exactly equals zero, the outcome is +0.0 unless
///   both arguments were negative, then it is -0.0. Subtraction `a - b` is
///   regarded as a sum `a + (-b)`.
///
/// For more information on floating-point numbers, see [Wikipedia][wikipedia].
///
/// *[See also the `std::f32::consts` module](crate::f32::consts).*
///
/// [wikipedia]: https://en.wikipedia.org/wiki/Single-precision_floating-point_format
///
/// # NaN bit patterns
///
/// This section defines the possible NaN bit patterns returned by floating-point operations.
///
/// The bit pattern of a floating-point NaN value is defined by:
/// - a sign bit.
/// - a quiet/signaling bit. Rust assumes that the quiet/signaling bit being set to `1` indicates a
///   quiet NaN (QNaN), and a value of `0` indicates a signaling NaN (SNaN). In the following we
///   will hence just call it the "quiet bit".
/// - a payload, which makes up the rest of the significand (i.e., the mantissa) except for the
///   quiet bit.
///
/// The rules for NaN values differ between *arithmetic* and *non-arithmetic* (or "bitwise")
/// operations. The non-arithmetic operations are unary `-`, `abs`, `copysign`, `signum`,
/// `{to,from}_bits`, `{to,from}_{be,le,ne}_bytes` and `is_sign_{positive,negative}`. These
/// operations are guaranteed to exactly preserve the bit pattern of their input except for possibly
/// changing the sign bit.
///
/// The following rules apply when a NaN value is returned from an arithmetic operation:
/// - The result has a non-deterministic sign.
/// - The quiet bit and payload are non-deterministically chosen from
///   the following set of options:
///
///   - **Preferred NaN**: The quiet bit is set and the payload is all-zero.
///   - **Quieting NaN propagation**: The quiet bit is set and the payload is copied from any input
///     operand that is a NaN. If the inputs and outputs do not have the same payload size (i.e., for
///     `as` casts), then
///     - If the output is smaller than the input, low-order bits of the payload get dropped.
///     - If the output is larger than the input, the payload gets filled up with 0s in the low-order
///       bits.
///   - **Unchanged NaN propagation**: The quiet bit and payload are copied from any input operand
///     that is a NaN. If the inputs and outputs do not have the same size (i.e., for `as` casts), the
///     same rules as for "quieting NaN propagation" apply, with one caveat: if the output is smaller
///     than the input, dropping the low-order bits may result in a payload of 0; a payload of 0 is not
///     possible with a signaling NaN (the all-0 significand encodes an infinity) so unchanged NaN
///     propagation cannot occur with some inputs.
///   - **Target-specific NaN**: The quiet bit is set and the payload is picked from a target-specific
///     set of "extra" possible NaN payloads. The set can depend on the input operand values.
///     See the table below for the concrete NaNs this set contains on various targets.
///
/// In particular, if all input NaNs are quiet (or if there are no input NaNs), then the output NaN
/// is definitely quiet. Signaling NaN outputs can only occur if they are provided as an input
/// value. Similarly, if all input NaNs are preferred (or if there are no input NaNs) and the target
/// does not have any "extra" NaN payloads, then the output NaN is guaranteed to be preferred.
///
/// The non-deterministic choice happens when the operation is executed; i.e., the result of a
/// NaN-producing floating-point operation is a stable bit pattern (looking at these bits multiple
/// times will yield consistent results), but running the same operation twice with the same inputs
/// can produce different results.
///
/// These guarantees are neither stronger nor weaker than those of IEEE 754: IEEE 754 guarantees
/// that an operation never returns a signaling NaN, whereas it is possible for operations like
/// `SNAN * 1.0` to return a signaling NaN in Rust. Conversely, IEEE 754 makes no statement at all
/// about which quiet NaN is returned, whereas Rust restricts the set of possible results to the
/// ones listed above.
///
/// Unless noted otherwise, the same rules also apply to NaNs returned by other library functions
/// (e.g. `min`, `minimum`, `max`, `maximum`); other aspects of their semantics and which IEEE 754
/// operation they correspond to are documented with the respective functions.
///
/// When an arithmetic floating-point operation is executed in `const` context, the same rules
/// apply: no guarantee is made about which of the NaN bit patterns described above will be
/// returned. The result does not have to match what happens when executing the same code at
/// runtime, and the result can vary depending on factors such as compiler version and flags.
///
/// ### Target-specific "extra" NaN values
// FIXME: Is there a better place to put this?
///
/// | `target_arch` | Extra payloads possible on this platform |
/// |---------------|------------------------------------------|
// Sorted alphabetically
/// | `aarch64`, `arm`, `arm64ec`, `loongarch64`, `powerpc` (except when `target_abi = "spe"`), `powerpc64`, `riscv32`, `riscv64`, `s390x`, `x86`, `x86_64` | None |
/// | `nvptx64` | All payloads |
/// | `sparc`, `sparc64` | The all-one payload |
/// | `wasm32`, `wasm64` | If all input NaNs are quiet with all-zero payload: None.<br> Otherwise: all payloads. |
///
/// For targets not in this table, all payloads are possible.
///
/// # Algebraic operators
///
/// Algebraic operators of the form `a.algebraic_*(b)` allow the compiler to optimize
/// floating point operations using all the usual algebraic properties of real numbers --
/// despite the fact that those properties do *not* hold on floating point numbers.
/// This can give a great performance boost since it may unlock vectorization.
///
/// The exact set of optimizations is unspecified but typically allows combining operations,
/// rearranging series of operations based on mathematical properties, converting between division
/// and reciprocal multiplication, and disregarding the sign of zero. This means that the results of
/// elementary operations may have undefined precision, and "non-mathematical" values
/// such as NaN, +/-Inf, or -0.0 may behave in unexpected ways, but these operations
/// will never cause undefined behavior.
///
/// Because of the unpredictable nature of compiler optimizations, the same inputs may produce
/// different results even within a single program run. **Unsafe code must not rely on any property
/// of the return value for soundness.** However, implementations will generally do their best to
/// pick a reasonable tradeoff between performance and accuracy of the result.
///
/// For example:
///
/// ```
/// # #![feature(float_algebraic)]
/// # #![allow(unused_assignments)]
/// # let mut x: f32 = 0.0;
/// # let a: f32 = 1.0;
/// # let b: f32 = 2.0;
/// # let c: f32 = 3.0;
/// # let d: f32 = 4.0;
/// x = a.algebraic_add(b).algebraic_add(c).algebraic_add(d);
/// ```
///
/// May be rewritten as:
///
/// ```
/// # #![allow(unused_assignments)]
/// # let mut x: f32 = 0.0;
/// # let a: f32 = 1.0;
/// # let b: f32 = 2.0;
/// # let c: f32 = 3.0;
/// # let d: f32 = 4.0;
/// x = a + b + c + d; // As written
/// x = (a + c) + (b + d); // Reordered to shorten critical path and enable vectorization
/// ```

#[stable(feature = "rust1", since = "1.0.0")]
mod prim_f32 {}

#[rustc_doc_primitive = "f64"]
#[doc(alias = "double")]
/// A 64-bit floating-point type (specifically, the "binary64" type defined in IEEE 754-2008).
///
/// This type is very similar to [`prim@f32`], but has increased precision by using twice as many
/// bits. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on double-precision
/// values][wikipedia] for more information.
///
/// *[See also the `std::f64::consts` module](crate::f64::consts).*
///
/// [wikipedia]: https://en.wikipedia.org/wiki/Double-precision_floating-point_format
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_f64 {}

#[rustc_doc_primitive = "f128"]
#[doc(alias = "quad")]
/// A 128-bit floating-point type (specifically, the "binary128" type defined in IEEE 754-2008).
///
/// This type is very similar to [`prim@f32`] and [`prim@f64`], but has increased precision by using twice
/// as many bits as `f64`. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on
/// quad-precision values][wikipedia] for more information.
///
/// Note that no platforms have hardware support for `f128` without enabling target specific features,
/// as for all instruction set architectures `f128` is considered an optional feature.  Only Power ISA
/// ("PowerPC") and RISC-V (via the Q extension) specify it, and only certain microarchitectures
/// actually implement it. For x86-64 and AArch64, ISA support is not even specified, so it will always
/// be a software implementation significantly slower than `f64`.
///
/// _Note: `f128` support is incomplete. Many platforms will not be able to link math functions. On
/// x86 in particular, these functions do link but their results are always incorrect._
///
/// *[See also the `std::f128::consts` module](crate::f128::consts).*
///
/// [wikipedia]: https://en.wikipedia.org/wiki/Quadruple-precision_floating-point_format
#[unstable(feature = "f128", issue = "116909")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_f128 {}

#[rustc_doc_primitive = "i8"]
//
/// The 8-bit signed integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_i8 {}

#[rustc_doc_primitive = "i16"]
//
/// The 16-bit signed integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_i16 {}

#[rustc_doc_primitive = "i32"]
//
/// The 32-bit signed integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_i32 {}

#[rustc_doc_primitive = "i64"]
//
/// The 64-bit signed integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_i64 {}

#[rustc_doc_primitive = "i128"]
//
/// The 128-bit signed integer type.
///
/// # ABI compatibility
///
/// Rust's `i128` is expected to be ABI-compatible with C's `__int128` on platforms where the type
/// is available, which includes most 64-bit architectures. If any platforms that do not specify
/// `__int128` are updated to introduce it, the Rust `i128` ABI on relevant targets will be changed
/// to match.
///
/// It is important to note that in C, `__int128` is _not_ the same as `_BitInt(128)`, and the two
/// types are allowed to have different ABIs. In particular, on x86, `__int128` and `_BitInt(128)`
/// do not use the same alignment. `i128` is intended to always match `__int128` and does not
/// attempt to match `_BitInt(128)` on platforms without `__int128`.
#[stable(feature = "i128", since = "1.26.0")]
mod prim_i128 {}

#[rustc_doc_primitive = "u8"]
//
/// The 8-bit unsigned integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_u8 {}

#[rustc_doc_primitive = "u16"]
//
/// The 16-bit unsigned integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_u16 {}

#[rustc_doc_primitive = "u32"]
//
/// The 32-bit unsigned integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_u32 {}

#[rustc_doc_primitive = "u64"]
//
/// The 64-bit unsigned integer type.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_u64 {}

#[rustc_doc_primitive = "u128"]
//
/// The 128-bit unsigned integer type.
///
/// Please see [the documentation for `i128`](prim@i128) for information on ABI compatibility.
#[stable(feature = "i128", since = "1.26.0")]
mod prim_u128 {}

#[rustc_doc_primitive = "isize"]
//
/// The pointer-sized signed integer type.
///
/// The size of this primitive is how many bytes it takes to reference any
/// location in memory. For example, on a 32 bit target, this is 4 bytes
/// and on a 64 bit target, this is 8 bytes.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_isize {}

#[rustc_doc_primitive = "usize"]
//
/// The pointer-sized unsigned integer type.
///
/// The size of this primitive is how many bytes it takes to reference any
/// location in memory. For example, on a 32 bit target, this is 4 bytes
/// and on a 64 bit target, this is 8 bytes.
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_usize {}

#[rustc_doc_primitive = "reference"]
#[doc(alias = "&")]
#[doc(alias = "&mut")]
//
/// References, `&T` and `&mut T`.
///
/// A reference represents a borrow of some owned value. You can get one by using the `&` or `&mut`
/// operators on a value, or by using a [`ref`](../std/keyword.ref.html) or
/// <code>[ref](../std/keyword.ref.html) [mut](../std/keyword.mut.html)</code> pattern.
///
/// For those familiar with pointers, a reference is just a pointer that is assumed to be
/// aligned, not null, and pointing to memory containing a valid value of `T` - for example,
/// <code>&[bool]</code> can only point to an allocation containing the integer values `1`
/// ([`true`](../std/keyword.true.html)) or `0` ([`false`](../std/keyword.false.html)), but
/// creating a <code>&[bool]</code> that points to an allocation containing
/// the value `3` causes undefined behavior.
/// In fact, <code>[Option]\<&T></code> has the same memory representation as a
/// nullable but aligned pointer, and can be passed across FFI boundaries as such.
///
/// In most cases, references can be used much like the original value. Field access, method
/// calling, and indexing work the same (save for mutability rules, of course). In addition, the
/// comparison operators transparently defer to the referent's implementation, allowing references
/// to be compared the same as owned values.
///
/// References have a lifetime attached to them, which represents the scope for which the borrow is
/// valid. A lifetime is said to "outlive" another one if its representative scope is as long or
/// longer than the other. The `'static` lifetime is the longest lifetime, which represents the
/// total life of the program. For example, string literals have a `'static` lifetime because the
/// text data is embedded into the binary of the program, rather than in an allocation that needs
/// to be dynamically managed.
///
/// `&mut T` references can be freely coerced into `&T` references with the same referent type, and
/// references with longer lifetimes can be freely coerced into references with shorter ones.
///
/// Reference equality by address, instead of comparing the values pointed to, is accomplished via
/// implicit reference-pointer coercion and raw pointer equality via [`ptr::eq`], while
/// [`PartialEq`] compares values.
///
/// ```
/// use std::ptr;
///
/// let five = 5;
/// let other_five = 5;
/// let five_ref = &five;
/// let same_five_ref = &five;
/// let other_five_ref = &other_five;
///
/// assert!(five_ref == same_five_ref);
/// assert!(five_ref == other_five_ref);
///
/// assert!(ptr::eq(five_ref, same_five_ref));
/// assert!(!ptr::eq(five_ref, other_five_ref));
/// ```
///
/// For more information on how to use references, see [the book's section on "References and
/// Borrowing"][book-refs].
///
/// [book-refs]: ../book/ch04-02-references-and-borrowing.html
///
/// # Trait implementations
///
/// The following traits are implemented for all `&T`, regardless of the type of its referent:
///
/// * [`Copy`]
/// * [`Clone`] \(Note that this will not defer to `T`'s `Clone` implementation if it exists!)
/// * [`Deref`]
/// * [`Borrow`]
/// * [`fmt::Pointer`]
///
/// [`Deref`]: ops::Deref
/// [`Borrow`]: borrow::Borrow
///
/// `&mut T` references get all of the above except `Copy` and `Clone` (to prevent creating
/// multiple simultaneous mutable borrows), plus the following, regardless of the type of its
/// referent:
///
/// * [`DerefMut`]
/// * [`BorrowMut`]
///
/// [`DerefMut`]: ops::DerefMut
/// [`BorrowMut`]: borrow::BorrowMut
/// [bool]: prim@bool
///
/// The following traits are implemented on `&T` references if the underlying `T` also implements
/// that trait:
///
/// * All the traits in [`std::fmt`] except [`fmt::Pointer`] (which is implemented regardless of the type of its referent) and [`fmt::Write`]
/// * [`PartialOrd`]
/// * [`Ord`]
/// * [`PartialEq`]
/// * [`Eq`]
/// * [`AsRef`]
/// * [`Fn`] \(in addition, `&T` references get [`FnMut`] and [`FnOnce`] if `T: Fn`)
/// * [`Hash`]
/// * [`ToSocketAddrs`]
/// * [`Sync`]
///
/// [`std::fmt`]: fmt
/// [`Hash`]: hash::Hash
/// [`ToSocketAddrs`]: ../std/net/trait.ToSocketAddrs.html
///
/// `&mut T` references get all of the above except `ToSocketAddrs`, plus the following, if `T`
/// implements that trait:
///
/// * [`AsMut`]
/// * [`FnMut`] \(in addition, `&mut T` references get [`FnOnce`] if `T: FnMut`)
/// * [`fmt::Write`]
/// * [`Iterator`]
/// * [`DoubleEndedIterator`]
/// * [`ExactSizeIterator`]
/// * [`FusedIterator`]
/// * [`TrustedLen`]
/// * [`Send`]
/// * [`io::Write`]
/// * [`Read`]
/// * [`Seek`]
/// * [`BufRead`]
///
/// [`FusedIterator`]: iter::FusedIterator
/// [`TrustedLen`]: iter::TrustedLen
/// [`Seek`]: ../std/io/trait.Seek.html
/// [`BufRead`]: ../std/io/trait.BufRead.html
/// [`Read`]: ../std/io/trait.Read.html
/// [`io::Write`]: ../std/io/trait.Write.html
///
/// In addition, `&T` references implement [`Send`] if and only if `T` implements [`Sync`].
///
/// Note that due to method call deref coercion, simply calling a trait method will act like they
/// work on references as well as they do on owned values! The implementations described here are
/// meant for generic contexts, where the final type `T` is a type parameter or otherwise not
/// locally known.
///
/// # Safety
///
/// For all types, `T: ?Sized`, and for all `t: &T` or `t: &mut T`, when such values cross an API
/// boundary, the following invariants must generally be upheld:
///
/// * `t` is non-null
/// * `t` is aligned to `align_of_val(t)`
/// * if `size_of_val(t) > 0`, then `t` is dereferenceable for `size_of_val(t)` many bytes
///
/// If `t` points at address `a`, being "dereferenceable" for N bytes means that the memory range
/// `[a, a + N)` is all contained within a single [allocation].
///
/// For instance, this means that unsafe code in a safe function may assume these invariants are
/// ensured of arguments passed by the caller, and it may assume that these invariants are ensured
/// of return values from any safe functions it calls.
///
/// For the other direction, things are more complicated: when unsafe code passes arguments
/// to safe functions or returns values from safe functions, they generally must *at least*
/// not violate these invariants. The full requirements are stronger, as the reference generally
/// must point to data that is safe to use at type `T`.
///
/// It is not decided yet whether unsafe code may violate these invariants temporarily on internal
/// data. As a consequence, unsafe code which violates these invariants temporarily on internal data
/// may be unsound or become unsound in future versions of Rust depending on how this question is
/// decided.
///
/// [allocation]: ptr#allocation
#[stable(feature = "rust1", since = "1.0.0")]
mod prim_ref {}

#[rustc_doc_primitive = "fn"]
//
/// Function pointers, like `fn(usize) -> bool`.
///
/// *See also the traits [`Fn`], [`FnMut`], and [`FnOnce`].*
///
/// Function pointers are pointers that point to *code*, not data. They can be called
/// just like functions. Like references, function pointers are, among other things, assumed to
/// not be null, so if you want to pass a function pointer over FFI and be able to accommodate null
/// pointers, make your type [`Option<fn()>`](core::option#options-and-pointers-nullable-pointers)
/// with your required signature.
///
/// Note that FFI requires additional care to ensure that the ABI for both sides of the call match.
/// The exact requirements are not currently documented.
///
/// ### Safety
///
/// Plain function pointers are obtained by casting either plain functions, or closures that don't
/// capture an environment:
///
/// ```
/// fn add_one(x: usize) -> usize {
///     x + 1
/// }
///
/// let ptr: fn(usize) -> usize = add_one;
/// assert_eq!(ptr(5), 6);
///
/// let clos: fn(usize) -> usize = |x| x + 5;
/// assert_eq!(clos(5), 10);
/// ```
///
/// In addition to varying based on their signature, function pointers come in two flavors: safe
/// and unsafe. Plain `fn()` function pointers can only point to safe functions,
/// while `unsafe fn()` function pointers can point to safe or unsafe functions.
///
/// ```
/// fn add_one(x: usize) -> usize {
///     x + 1
/// }
///
/// unsafe fn add_one_unsafely(x: usize) -> usize {
///     x + 1
/// }
///
/// let safe_ptr: fn(usize) -> usize = add_one;
///
/// //ERROR: mismatched types: expected normal fn, found unsafe fn
/// //let bad_ptr: fn(usize) -> usize = add_one_unsafely;
///
/// let unsafe_ptr: unsafe fn(usize) -> usize = add_one_unsafely;
/// let really_safe_ptr: unsafe fn(usize) -> usize = add_one;
/// ```
///
/// ### ABI
///
/// On top of that, function pointers can vary based on what ABI they use. This
/// is achieved by adding the `extern` keyword before the type, followed by the
/// ABI in question. The default ABI is "Rust", i.e., `fn()` is the exact same
/// type as `extern "Rust" fn()`. A pointer to a function with C ABI would have
/// type `extern "C" fn()`.
///
/// `extern "ABI" { ... }` blocks declare functions with ABI "ABI". The default
/// here is "C", i.e., functions declared in an `extern {...}` block have "C"
/// ABI.
///
/// For more information and a list of supported ABIs, see [the nomicon's
/// section on foreign calling conventions][nomicon-abi].
///
/// [nomicon-abi]: ../nomicon/ffi.html#foreign-calling-conventions
///
/// ### Variadic functions
///
/// Extern function declarations with the "C" or "cdecl" ABIs can also be *variadic*, allowing them
/// to be called with a variable number of arguments. Normal Rust functions, even those with an
/// `extern "ABI"`, cannot be variadic. For more information, see [the nomicon's section on
/// variadic functions][nomicon-variadic].
///
/// [nomicon-variadic]: ../nomicon/ffi.html#variadic-functions
///
/// ### Creating function pointers
///
/// When `bar` is the name of a function, then the expression `bar` is *not* a
/// function pointer. Rather, it denotes a value of an unnameable type that
/// uniquely identifies the function `bar`. The value is zero-sized because the
/// type already identifies the function. This has the advantage that "calling"
/// the value (it implements the `Fn*` traits) does not require dynamic
/// dispatch.
///
/// This zero-sized type *coerces* to a regular function pointer. For example:
///
/// ```rust
/// fn bar(x: i32) {}
///
/// let not_bar_ptr = bar; // `not_bar_ptr` is zero-sized, uniquely identifying `bar`
/// assert_eq!(size_of_val(&not_bar_ptr), 0);
///
/// let bar_ptr: fn(i32) = not_bar_ptr; // force coercion to function pointer
/// assert_eq!(size_of_val(&bar_ptr), size_of::<usize>());
///
/// let footgun = &bar; // this is a shared reference to the zero-sized type identifying `bar`
/// ```
///
/// The last line shows that `&bar` is not a function pointer either. Rather, it
/// is a reference to the function-specific ZST. `&bar` is basically never what you
/// want when `bar` is a function.
///
/// ### Casting to and from integers
///
/// You can cast function pointers directly to integers:
///
/// ```rust
/// let fnptr: fn(i32) -> i32 = |x| x+2;
/// let fnptr_addr = fnptr as usize;
/// ```
///
/// However, a direct cast back is not possible. You need to use `transmute`:
///
/// ```rust
/// # #[cfg(not(miri))] { // FIXME: use strict provenance APIs once they are stable, then remove this `cfg`
/// # let fnptr: fn(i32) -> i32 = |x| x+2;
/// # let fnptr_addr = fnptr as usize;
/// let fnptr = fnptr_addr as *const ();
/// let fnptr: fn(i32) -> i32 = unsafe { std::mem::transmute(fnptr) };
/// assert_eq!(fnptr(40), 42);
/// # }
/// ```
///
/// Crucially, we `as`-cast to a raw pointer before `transmute`ing to a function pointer.
/// This avoids an integer-to-pointer `transmute`, which can be problematic.
/// Transmuting between raw pointers and function pointers (i.e., two pointer types) is fine.
///
/// Note that all of this is not portable to platforms where function pointers and data pointers
/// have different sizes.
///
/// ### ABI compatibility
///
/// Generally, when a function is declared with one signature and called via a function pointer with
/// a different signature, the two signatures must be *ABI-compatible* or else calling the function
/// via that function pointer is Undefined Behavior. ABI compatibility is a lot stricter than merely
/// having the same memory layout; for example, even if `i32` and `f32` have the same size and
/// alignment, they might be passed in different registers and hence not be ABI-compatible.
///
/// ABI compatibility as a concern only arises in code that alters the type of function pointers,
/// and code that imports functions via `extern` blocks. Altering the type of function pointers is
/// wildly unsafe (as in, a lot more unsafe than even [`transmute_copy`][mem::transmute_copy]), and
/// should only occur in the most exceptional circumstances. Most Rust code just imports functions
/// via `use`. So, most likely you do not have to worry about ABI compatibility.
///
/// But assuming such circumstances, what are the rules? For this section, we are only considering
/// the ABI of direct Rust-to-Rust calls (with both definition and callsite visible to the
/// Rust compiler), not linking in general -- once functions are imported via `extern` blocks, there
/// are more things to consider that we do not go into here. Note that this also applies to
/// passing/calling functions across language boundaries via function pointers.
///
/// **Nothing in this section should be taken as a guarantee for non-Rust-to-Rust calls, even with
/// types from `core::ffi` or `libc`**.
///
/// For two signatures to be considered *ABI-compatible*, they must use a compatible ABI string,
/// must take the same number of arguments, and the individual argument types and the return types
/// must be ABI-compatible. The ABI string is declared via `extern "ABI" fn(...) -> ...`; note that
/// `fn name(...) -> ...` implicitly uses the `"Rust"` ABI string and `extern fn name(...) -> ...`
/// implicitly uses the `"C"` ABI string.
///
/// The ABI strings are guaranteed to be compatible if they are the same, or if the caller ABI
/// string is `$X-unwind` and the callee ABI string is `$X`, where `$X` is one of the following:
/// "C", "aapcs", "fastcall", "stdcall", "system", "sysv64", "thiscall", "vectorcall", "win64".
///
/// The following types are guaranteed to be ABI-compatible:
///
/// - `*const T`, `*mut T`, `&T`, `&mut T`, `Box<T>` (specifically, only `Box<T, Global>`), and
///   `NonNull<T>` are all ABI-compatible with each other for all `T`. They are also ABI-compatible
///   with each other for _different_ `T` if they have the same metadata type (`<T as
///   Pointee>::Metadata`).
/// - `usize` is ABI-compatible with the `uN` integer type of the same size, and likewise `isize` is
///   ABI-compatible with the `iN` integer type of the same size.
/// - `char` is ABI-compatible with `u32`.
/// - Any two `fn` (function pointer) types are ABI-compatible with each other if they have the same
///   ABI string or the ABI string only differs in a trailing `-unwind`, independent of the rest of
///   their signature. (This means you can pass `fn()` to a function expecting `fn(i32)`, and the
///   call will be valid ABI-wise. The callee receives the result of transmuting the function pointer
///   from `fn()` to `fn(i32)`; that transmutation is itself a well-defined operation, it's just
///   almost certainly UB to later call that function pointer.)
/// - Any two types with size 0 and alignment 1 are ABI-compatible.
/// - A `repr(transparent)` type `T` is ABI-compatible with its unique non-trivial field, i.e., the
///   unique field that doesn't have size 0 and alignment 1 (if there is such a field).
/// - `i32` is ABI-compatible with `NonZero<i32>`, and similar for all other integer types.
/// - If `T` is guaranteed to be subject to the [null pointer
///   optimization](option/index.html#representation), and `E` is an enum satisfying the following
///   requirements, then `T` and `E` are ABI-compatible. Such an enum `E` is called "option-like".
///   - The enum `E` uses the [`Rust` representation], and is not modified by the `align` or
///     `packed` representation modifiers.
///   - The enum `E` has exactly two variants.
///   - One variant has exactly one field, of type `T`.
///   - All fields of the other variant are zero-sized with 1-byte alignment.
///
/// Furthermore, ABI compatibility satisfies the following general properties:
///
/// - Every type is ABI-compatible with itself.
/// - If `T1` and `T2` are ABI-compatible and `T2` and `T3` are ABI-compatible, then so are `T1` and
///   `T3` (i.e., ABI-compatibility is transitive).
/// - If `T1` and `T2` are ABI-compatible, then so are `T2` and `T1` (i.e., ABI-compatibility is
///   symmetric).
///
/// More signatures can be ABI-compatible on specific targets, but that should not be relied upon
/// since it is not portable and not a stable guarantee.
///
/// Noteworthy cases of types *not* being ABI-compatible in general are:
/// * `bool` vs `u8`, `i32` vs `u32`, `char` vs `i32`: on some targets, the calling conventions for
///   these types differ in terms of what they guarantee for the remaining bits in the register that
///   are not used by the value.
/// * `i32` vs `f32` are not compatible either, as has already been mentioned above.
/// * `struct Foo(u32)` and `u32` are not compatible (without `repr(transparent)`) since structs are
///   aggregate types and often passed in a different way than primitives like `i32`.
///
/// Note that these rules describe when two completely known types are ABI-compatible. When
/// considering ABI compatibility of a type declared in another crate (including the standard
/// library), consider that any type that has a private field or the `#[non_exhaustive]` attribute
/// may change its layout as a non-breaking update unless documented otherwise -- so for instance,
/// even if such a type is a 1-ZST or `repr(transparent)` right now, this might change with any
/// library version bump.
///
/// If the declared signature and the signature of the function pointer are ABI-compatible, then the
/// function call behaves as if every argument was [`transmute`d][mem::transmute] from the
/// type in the function pointer to the type at the function declaration, and the return value is
/// [`transmute`d][mem::transmute] from the type in the declaration to the type in the
/// pointer. All the usual caveats and concerns around transmutation apply; for instance, if the
/// function expects a `NonZero<i32>` and the function pointer uses the ABI-compatible type
/// `Option<NonZero<i32>>`, and the value used for the argument is `None`, then this call is Undefined
/// Behavior since transmuting `None::<NonZero<i32>>` to `NonZero<i32>` violates the non-zero
/// requirement.
///
/// ### Trait implementations
///
/// In this documentation the shorthand `fn(T₁, T₂, …, Tₙ)` is used to represent non-variadic
/// function pointers of varying length. Note that this is a convenience notation to avoid
/// repetitive documentation, not valid Rust syntax.
///
/// The following traits are implemented for function pointers with any number of arguments and
/// any ABI.
///
/// * [`PartialEq`]
/// * [`Eq`]
/// * [`PartialOrd`]
/// * [`Ord`]
/// * [`Hash`]
/// * [`Pointer`]
/// * [`Debug`]
/// * [`Clone`]
/// * [`Copy`]
/// * [`Send`]
/// * [`Sync`]
/// * [`Unpin`]
/// * [`UnwindSafe`]
/// * [`RefUnwindSafe`]
///
/// Note that while this type implements `PartialEq`, comparing function pointers is unreliable:
/// pointers to the same function can compare inequal (because functions are duplicated in multiple
/// codegen units), and pointers to *different* functions can compare equal (since identical
/// functions can be deduplicated within a codegen unit).
///
/// [`Hash`]: hash::Hash
/// [`Pointer`]: fmt::Pointer
/// [`UnwindSafe`]: panic::UnwindSafe
/// [`RefUnwindSafe`]: panic::RefUnwindSafe
/// [`Rust` representation]: <https://doc.rust-lang.org/reference/type-layout.html#the-rust-representation>
///
/// In addition, all *safe* function pointers implement [`Fn`], [`FnMut`], and [`FnOnce`], because
/// these traits are specially known to the compiler.
#[stable(feature = "rust1", since = "1.0.0")]
#[cfg(not(feature = "ferrocene_certified"))]
mod prim_fn {}

// Required to make auto trait impls render.
// See src/librustdoc/passes/collect_trait_impls.rs:collect_trait_impls
#[doc(hidden)]
impl<Ret, T> fn(T) -> Ret {}