Layout of arrays (#94)

Closes #91 .

reference/src/SUMMARY.md

@@ -18,7 +18,8 @@
   - [Integers and Floating Points](./layout/integers-floatingpoint.md)
   - [Enums](./layout/enums.md)
   - [Unions](./layout/unions.md)
-  - [Vectors](./layout/vectors.md)
+  - [Arrays and Slices](./layout/arrays-and-slices.md)
+  - [Packed SIMD vectors](./layout/packed-simd-vectors.md)
 - [Optimizations](./optimizations.md)
   - [Optimizing immutable memory](./optimizations/immutable_memory.md) 
 - [Glossary](./glossary.md)

reference/src/layout/arrays-and-slices.md

@@ -0,0 +1,85 @@
+# Layout of Rust array types and slices
+
+## Layout of Rust array types 
+
+Array types, `[T; N]`, store `N` values of type `T` with a constant _stride_.
+Here, _stride_ is the distance between each pair of consecutive values within
+the array.
+
+The _offset_ of the first array element is `0`, that is, a pointer to the array
+and a pointer to its first element both point to the same memory address.
+
+The _alignment_ of array types is greater or equal to the alignment of its
+element type. If the element type is `repr(C)` the layout of the array is
+guaranteed to be the same as the layout of a C array with the same element type.
+
+> **Note**: the type of array arguments in C function signatures, e.g., `void
+> foo(T x[N])`, decays to a pointer. That is, these functions do not take arrays
+> as an arguments, they take a pointer to the first element of the array
+> instead. Array types are therefore _improper C types_ (not C FFI safe) in Rust
+> foreign function declarations, e.g., `extern { fn foo(x: [T; N]) -> [U; M];
+> }`. Pointers to arrays are fine: `extern { fn foo(x: *const [T; N]) -> *const
+> [U; M]; }`, and `struct`s and `union`s containing arrays are also fine.
+
+The _stride_ of the array is constant for all element pairs and it is computed
+as the _size_ of the element type rounded up to the next multiple of the
+_alignment_ of the element type.
+
+### Special case `stride == size`
+
+When the element _size_ is a multiple of the element's _alignment_, then `stride
+== size`, and the elements are laid out contiguously in memory, e.g., `[u8; 4]`.
+In this case, the _size_ of the array can be computed as `size_of::<T>() * N`,
+and a pointer to the `i`-th element of the array can be obtained by offsetting a
+pointer to the first element of the array by `i`[^1].
+
+> **Note:** In the current Rust implementation, _size_ is always a multiple of
+> the element's _alignment_, and therefore `stride == size` always holds. This
+> is, however, not guaranteed by the [layout of structs and tuples].
+
+[^1]: When `stride > size` the pointer needs to be advanced by the array
+    _stride_ instead of by the element _size_.
+
+[layout of structs and tuples]: ./structs-and-tuples.md
+
+### Layout compatibility with packed SIMD vectors
+
+The [layout of packed SIMD vector types][Vector] [^2] requires the _size_ and
+_alignment_ of the vector elements to match. That is, types with [packed SIMD
+vector][Vector] layout are layout compatible with arrays having the same element
+type and the same number of elements as the vector.
+
+[^2]: The [packed SIMD vector][Vector] layout is the layout of `repr(simd)` types like [`__m128`].
+
+[Vector]: packed-simd-vectors.md
+[`__m128`]: https://doc.rust-lang.org/core/arch/x86_64/struct.__m128.html
+
+## Layout of Rust slices
+
+The layout of a slice `[T]` of length `N` is the same as that of a `[T; N]` array. 
+
+## Unresolved questions
+
+### Guaranteeing `stride == size` ?
+
+Currently, the [layout of structs and tuples] does not guarantee that the
+element _size_ is a multiple of its _alignment_. For example, consider:
+
+```rust,ignore
+struct A(u16, u8);
+type B = [A; 4];
+```
+
+In the current Rust implementation, `A` has an alignment and a size of `4`, and
+`B` has a size of `16`, such that `B` contains four `A`s that are contiguously
+laid in memory. 
+
+However, a future Rust implementation could implement a layout optimization that
+reduces the size of `A` to `3`. For the elements of `B` to be properly aligned,
+`B` would need to choose a `stride == 4`, resulting in a `stride > size`.
+
+Guaranteeing `stride >= size` is forward-compatible with such
+layout-optimization proposals:
+
+  * [rust-lang/rfcs/1397: Spearate size and stride for types](https://github.com/rust-lang/rfcs/issues/1397)
+  * [rust-lang/rust/17027: Collapse trailing padding](https://github.com/rust-lang/rust/issues/17027)

reference/src/layout/vectors.md → reference/src/layout/packed-simd-vectors.md

@@ -1,21 +1,29 @@
-# Layout of vectors
+# Layout of packed SIMD vectors
 
 **Disclaimer:** This chapter represents the consensus from issue
 [#38]. The statements in here are not (yet) "guaranteed"
 not to change until an RFC ratifies them.
 
 [#38]: https://github.com/rust-rfcs/unsafe-code-guidelines/issues/38
 
-Rust currently exposes vector types like `__m128` to users, but it does not
-expose a way for users to construct their own vector types.
+Rust currently exposes packed[^1] SIMD vector types like `__m128` to users, but it
+does not expose a way for users to construct their own vector types.
 
-The set of currently-exposed vector types is _implementation-defined_ and it is
-currently different for each architecture.
+The set of currently-exposed packed SIMD vector types is
+_implementation-defined_ and it is currently different for each architecture.
 
-## Vector types
+[^1]: _packed_ denotes that these SIMD vectors have a compile-time fixed size,
+    distinguishing these from SIMD vector types whose size is only known at
+    run-time. Rust currently only supports _packed_ SIMD vector types. This is
+    elaborated further in [RFC2366].
+
+[RFC2366]: https://github.com/gnzlbg/rfcs/blob/ppv/text/0000-ppv.md#interaction-with-cray-vectors
 
-Vector types are `repr(simd)` homogeneous tuple-structs containing `N` elements
-of type `T` where `N` is a power-of-two:
+## Packed SIMD vector types
+
+Packed SIMD vector types are `repr(simd)` homogeneous tuple-structs containing
+`N` elements of type `T` where `N` is a power-of-two and the size and alignment
+requirements of `T` are equal:
 
 ```rust
 #[repr(simd)]
@@ -59,8 +67,8 @@ unsafe {
 
 ### Unresolved questions
 
-* **Blocked**: Should the layout of vectors be the same as that of homogeneous
-  tuples ? Such that:
+* **Blocked**: Should the layout of packed SIMD vectors be the same as that of
+  homogeneous tuples ? Such that:
 
   ```rust
   union U {