Bounds checking

# Bounds checking

Like many modern programming languages, Julia uses bounds checking to ensure program safety when accessing arrays. In tight inner loops or other performance critical situations, you may wish to skip these bounds checks to improve runtime performance. For instance, in order to emit vectorized (SIMD) instructions, your loop body cannot contain branches, and thus cannot contain bounds checks. Consequently, Julia includes an `@inbounds(...)` macro to tell the compiler to skip such bounds checks within the given block. User-defined array types can use the `@boundscheck(...)` macro to achieve context-sensitive code selection.

## Eliding bounds checks

The `@boundscheck(...)` macro marks blocks of code that perform bounds checking. When such blocks are inlined into an `@inbounds(...)` block, the compiler may remove these blocks. The compiler removes the `@boundscheck` block only if it is inlined into the calling function. For example, you might write the method `sum` as:

    function sum(A::AbstractArray)
        r = zero(eltype(A))
        for i = 1:length(A)
            @inbounds r += A[i]
        end
        return r
    end

With a custom array-like type `MyArray` having:

    @inline getindex(A::MyArray, i::Real) = (@boundscheck checkbounds(A,i); A.data[to_index(i)])

Then when `getindex` is inlined into `sum`, the call to `checkbounds(A,i)` will be elided. If your function contains multiple layers of inlining, only `@boundscheck` blocks at most one level of inlining deeper are eliminated. The rule prevents unintended changes in program behavior from code further up the stack.

## Propagating inbounds

There may be certain scenarios where for code-organization reasons you want more than one layer between the `@inbounds` and `@boundscheck` declarations. For instance, the default `getindex` methods have the chain `getindex(A::AbstractArray, i::Real)` calls `getindex(IndexStyle(A), A, i)` calls `_getindex(::IndexLinear, A, i)`.

To override the "one layer of inlining" rule, a function may be marked with `Base.@propagate_inbounds` to propagate an inbounds context (or out of bounds context) through one additional layer of inlining.

## The bounds checking call hierarchy

The overall hierarchy is:

- `checkbounds(A, I...)` which calls

  - `checkbounds(Bool, A, I...)` which calls

    - `checkbounds_indices(Bool, axes(A), I)` which recursively calls

      - `checkindex` for each dimension

Here `A` is the array, and `I` contains the "requested" indices. `axes(A)` returns a tuple of "permitted" indices of `A`.

`checkbounds(A, I...)` throws an error if the indices are invalid, whereas `checkbounds(Bool, A, I...)` returns `false` in that circumstance. `checkbounds_indices` discards any information about the array other than its `axes` tuple, and performs a pure indices-vs-indices comparison: this allows relatively few compiled methods to serve a huge variety of array types. Indices are specified as tuples, and are usually compared in a 1-1 fashion with individual dimensions handled by calling another important function, `checkindex`: typically,

    checkbounds_indices(Bool, (IA1, IA...), (I1, I...)) = checkindex(Bool, IA1, I1) &
                                                          checkbounds_indices(Bool, IA, I)

so `checkindex` checks a single dimension. All of these functions, including the unexported `checkbounds_indices` have docstrings accessible with `?` .

If you have to customize bounds checking for a specific array type, you should specialize `checkbounds(Bool, A, I...)`. However, in most cases you should be able to rely on `checkbounds_indices` as long as you supply useful `axes` for your array type.

If you have novel index types, first consider specializing `checkindex`, which handles a single index for a particular dimension of an array. If you have a custom multidimensional index type (similar to `CartesianIndex`), then you may have to consider specializing `checkbounds_indices`.

Note this hierarchy has been designed to reduce the likelihood of method ambiguities. We try to make `checkbounds` the place to specialize on array type, and try to avoid specializations on index types; conversely, `checkindex` is intended to be specialized only on index type (especially, the last argument).