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JuliaLang / julia / #38174

13 Aug 2025 11:14AM UTC coverage: 77.22% (-0.4%) from 77.58%
#38174

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87.31
/base/subarray.jl
1
# This file is a part of Julia. License is MIT: https://julialang.org/license
2

3
abstract type AbstractCartesianIndex{N} end # This is a hacky forward declaration for CartesianIndex
4
const ViewIndex = Union{Real, AbstractArray}
5
const ScalarIndex = Real
6

7
"""
8
    SubArray{T,N,P,I,L} <: AbstractArray{T,N}
9

10
`N`-dimensional view into a parent array (of type `P`) with an element type `T`, restricted by a tuple of indices (of type `I`). `L` is true for types that support fast linear indexing, and `false` otherwise.
11

12
Construct `SubArray`s using the [`view`](@ref) function.
13
"""
14
struct SubArray{T,N,P,I,L} <: AbstractArray{T,N}
15
    parent::P
16
    indices::I
17
    offset1::Int       # for linear indexing and pointer, only valid when L==true
18
    stride1::Int       # used only for linear indexing
19
    function SubArray{T,N,P,I,L}(parent, indices, offset1, stride1) where {T,N,P,I,L}
6✔
20
        @inline
84,679,361✔
21
        check_parent_index_match(parent, indices)
84,679,361✔
22
        new(parent, indices, offset1, stride1)
89,817,126✔
23
    end
24
end
25
# Compute the linear indexability of the indices, and combine it with the linear indexing of the parent
26
function SubArray(parent::AbstractArray, indices::Tuple)
8✔
27
    @inline
84,687,524✔
28
    SubArray(IndexStyle(viewindexing(indices), IndexStyle(parent)), parent, ensure_indexable(indices), index_dimsum(indices...))
89,819,492✔
29
end
30
function SubArray(::IndexCartesian, parent::P, indices::I, ::NTuple{N,Any}) where {P,I,N}
31
    @inline
446,562✔
32
    SubArray{eltype(P), N, P, I, false}(parent, indices, 0, 0)
453,182✔
33
end
34
function SubArray(::IndexLinear, parent::P, indices::I, ::NTuple{N,Any}) where {P,I,N}
42✔
35
    @inline
84,240,954✔
36
    # Compute the stride and offset
37
    stride1 = compute_stride1(parent, indices)
84,241,604✔
38
    SubArray{eltype(P), N, P, I, true}(parent, indices, compute_offset1(parent, stride1, indices), stride1)
89,365,844✔
39
end
40

41
check_parent_index_match(parent, indices) = check_parent_index_match(parent, index_ndims(indices...))
84,679,359✔
42
check_parent_index_match(parent::AbstractArray{T,N}, ::NTuple{N, Bool}) where {T,N} = nothing
56,077,470✔
43
check_parent_index_match(parent, ::NTuple{N, Bool}) where {N} =
×
44
    throw(ArgumentError("number of indices ($N) must match the parent dimensionality ($(ndims(parent)))"))
45

46
# This computes the linear indexing compatibility for a given tuple of indices
47
viewindexing(I::Tuple{}) = IndexLinear()
×
48
# Leading scalar indices simply increase the stride
49
viewindexing(I::Tuple{ScalarIndex, Vararg{Any}}) = (@inline; viewindexing(tail(I)))
265,282✔
50
# Slices may begin a section which may be followed by any number of Slices
51
viewindexing(I::Tuple{Slice, Slice, Vararg{Any}}) = (@inline; viewindexing(tail(I)))
2,136✔
52
# A UnitRange can follow Slices, but only if all other indices are scalar
53
viewindexing(I::Tuple{Slice, AbstractUnitRange, Vararg{ScalarIndex}}) = IndexLinear()
28,754✔
54
viewindexing(I::Tuple{Slice, Slice, Vararg{ScalarIndex}}) = IndexLinear() # disambiguate
1,449✔
55
# In general, scalar ranges are only fast if all other indices are scalar
56
# Other ranges, such as those of `CartesianIndex`es, are not fast even if these
57
# are followed by `ScalarIndex`es
58
viewindexing(I::Tuple{AbstractRange{<:ScalarIndex}, Vararg{ScalarIndex}}) = IndexLinear()
54,791,752✔
59
# All other index combinations are slow
60
viewindexing(I::Tuple{Vararg{Any}}) = IndexCartesian()
×
61
# Of course, all other array types are slow
62
viewindexing(I::Tuple{AbstractArray, Vararg{Any}}) = IndexCartesian()
10,818✔
63

64
# Simple utilities
65
size(V::SubArray) = (@inline; map(length, axes(V)))
74,007,668✔
66

67
similar(V::SubArray, T::Type, dims::Dims) = similar(V.parent, T, dims)
13,286✔
68

69
sizeof(V::SubArray) = length(V) * sizeof(eltype(V))
5✔
70
sizeof(V::SubArray{<:Any,<:Any,<:Array}) = length(V) * elsize(V.parent)
4✔
71

72
function Base.copy(V::SubArray)
539✔
73
    v = V.parent[V.indices...]
2,094✔
74
    ndims(V) == 0 || return v
1,141✔
75
    x = similar(V) # ensure proper type of x
1✔
76
    x[] = v
1✔
77
    return x
1✔
78
end
79

80
parent(V::SubArray) = V.parent
57,248,194✔
81
parentindices(V::SubArray) = V.indices
180,833✔
82

83
"""
84
    parentindices(A)
85

86
Return the indices in the [`parent`](@ref) which correspond to the view `A`.
87

88
# Examples
89
```jldoctest
90
julia> A = [1 2; 3 4];
91

92
julia> V = view(A, 1, :)
93
2-element view(::Matrix{Int64}, 1, :) with eltype Int64:
94
 1
95
 2
96

97
julia> parentindices(V)
98
(1, Base.Slice(Base.OneTo(2)))
99
```
100
"""
101
function parentindices end
102

103
parentindices(a::AbstractArray) = map(oneto, size(a))
1✔
104

105
## Aliasing detection
106
dataids(A::SubArray) = (dataids(A.parent)..., _splatmap(dataids, A.indices)...)
3,579,115✔
107
_splatmap(f, ::Tuple{}) = ()
10✔
108
_splatmap(f, t::Tuple) = (f(t[1])..., _splatmap(f, tail(t))...)
456,505✔
109
unaliascopy(A::SubArray) = typeof(A)(unaliascopy(A.parent), map(unaliascopy, A.indices), A.offset1, A.stride1)
4✔
110

111
# When the parent is an Array we can trim the size down a bit. In the future this
112
# could possibly be extended to any mutable array.
113
function unaliascopy(V::SubArray{T,N,A,I,LD}) where {T,N,A<:Array,I<:Tuple{Vararg{Union{ScalarIndex,AbstractRange{<:ScalarIndex},Array{<:Union{ScalarIndex,AbstractCartesianIndex}}}}},LD}
8✔
114
    dest = Array{T}(undef, _trimmedshape(V.indices...))
1,136✔
115
    trimmedpind = _trimmedpind(V.indices...)
1,128✔
116
    vdest = trimmedpind isa Tuple{Vararg{Union{Slice,Colon}}} ? dest : view(dest, trimmedpind...)
1,129✔
117
    copyto!(vdest, view(V, _trimmedvind(V.indices...)...))
1,133✔
118
    indices = map(_trimmedindex, V.indices)
1,130✔
119
    stride1 = LD ? compute_stride1(dest, indices) : 0
1,128✔
120
    offset1 = LD ? compute_offset1(dest, stride1, indices) : 0
1,129✔
121
    SubArray{T,N,A,I,LD}(dest, indices, offset1, stride1)
1,128✔
122
end
123
# Get the proper trimmed shape
124
_trimmedshape(::ScalarIndex, rest...) = (1, _trimmedshape(rest...)...)
1,080✔
125
_trimmedshape(i::AbstractRange, rest...) = (isempty(i) ? zero(eltype(i)) : maximum(i), _trimmedshape(rest...)...)
20✔
126
_trimmedshape(i::Union{UnitRange,StepRange,OneTo}, rest...) = (length(i), _trimmedshape(rest...)...)
1,150✔
127
_trimmedshape(i::AbstractArray{<:ScalarIndex}, rest...) = (length(i), _trimmedshape(rest...)...)
×
128
_trimmedshape(i::AbstractArray{<:AbstractCartesianIndex{0}}, rest...) = _trimmedshape(rest...)
2✔
129
_trimmedshape(i::AbstractArray{<:AbstractCartesianIndex{N}}, rest...) where {N} = (length(i), ntuple(Returns(1), Val(N - 1))..., _trimmedshape(rest...)...)
4✔
130
_trimmedshape() = ()
10✔
131
# We can avoid the repetition from `AbstractArray{CartesianIndex{0}}`
132
_trimmedpind(i, rest...) = (map(Returns(:), axes(i))..., _trimmedpind(rest...)...)
1,084✔
133
_trimmedpind(i::AbstractRange, rest...) = (i, _trimmedpind(rest...)...)
7✔
134
_trimmedpind(i::Union{UnitRange,StepRange,OneTo}, rest...) = ((:), _trimmedpind(rest...)...)
1,146✔
135
_trimmedpind(i::AbstractArray{<:AbstractCartesianIndex{0}}, rest...) = _trimmedpind(rest...)
2✔
136
_trimmedpind() = ()
10✔
137
_trimmedvind(i, rest...) = (map(Returns(:), axes(i))..., _trimmedvind(rest...)...)
2,246✔
138
_trimmedvind(i::AbstractArray{<:AbstractCartesianIndex{0}}, rest...) = (map(first, axes(i))..., _trimmedvind(rest...)...)
2✔
139
_trimmedvind() = ()
10✔
140
# Transform indices to be "dense"
141
_trimmedindex(i::ScalarIndex) = oftype(i, 1)
1,080✔
142
_trimmedindex(i::AbstractRange) = i
4✔
143
_trimmedindex(i::Union{UnitRange,StepRange,OneTo}) = oftype(i, oneto(length(i)))
1,170✔
144
_trimmedindex(i::AbstractArray{<:ScalarIndex}) = oftype(i, reshape(eachindex(IndexLinear(), i), axes(i)))
×
145
_trimmedindex(i::AbstractArray{<:AbstractCartesianIndex{0}}) = oftype(i, copy(i))
4✔
146
function _trimmedindex(i::AbstractArray{<:AbstractCartesianIndex{N}}) where {N}
2✔
147
    padding = ntuple(Returns(1), Val(N - 1))
4✔
148
    ax1 = eachindex(IndexLinear(), i)
4✔
149
    return oftype(i, reshape(CartesianIndices((ax1, padding...)), axes(i)))
4✔
150
end
151
## SubArray creation
152
# We always assume that the dimensionality of the parent matches the number of
153
# indices that end up getting passed to it, so we store the parent as a
154
# ReshapedArray view if necessary. The trouble is that arrays of `CartesianIndex`
155
# can make the number of effective indices not equal to length(I).
156
_maybe_reshape_parent(A::AbstractArray, ::NTuple{1, Bool}) = reshape(A, Val(1))
3,916✔
157
_maybe_reshape_parent(A::AbstractArray{<:Any,1}, ::NTuple{1, Bool}) = reshape(A, Val(1))
55,401,540✔
158
_maybe_reshape_parent(A::AbstractArray{<:Any,N}, ::NTuple{N, Bool}) where {N} = A
925,449✔
159
_maybe_reshape_parent(A::AbstractArray, ::NTuple{N, Bool}) where {N} = reshape(A, Val(N))
327✔
160
# The trailing singleton indices could be eliminated after bounds checking.
161
rm_singleton_indices(ndims::Tuple, J1, Js...) = (J1, rm_singleton_indices(IteratorsMD._splitrest(ndims, index_ndims(J1)), Js...)...)
55,127,677✔
162
rm_singleton_indices(::Tuple{}, ::ScalarIndex, Js...) = rm_singleton_indices((), Js...)
17,409✔
163
rm_singleton_indices(::Tuple) = ()
54,793,784✔
164

165
"""
166
    view(A, inds...)
167

168
Like [`getindex`](@ref), but returns a lightweight array that lazily references
169
(or is effectively a _view_ into) the parent array `A` at the given index or indices
170
`inds` instead of eagerly extracting elements or constructing a copied subset.
171
Calling [`getindex`](@ref) or [`setindex!`](@ref) on the returned value
172
(often a [`SubArray`](@ref)) computes the indices to access or modify the
173
parent array on the fly.  The behavior is undefined if the shape of the parent array is
174
changed after `view` is called because there is no bound check for the parent array; e.g.,
175
it may cause a segmentation fault.
176

177
Some immutable parent arrays (like ranges) may choose to simply
178
recompute a new array in some circumstances instead of returning
179
a `SubArray` if doing so is efficient and provides compatible semantics.
180

181
!!! compat "Julia 1.6"
182
    In Julia 1.6 or later, `view` can be called on an `AbstractString`, returning a
183
    `SubString`.
184

185
# Examples
186
```jldoctest
187
julia> A = [1 2; 3 4]
188
2×2 Matrix{Int64}:
189
 1  2
190
 3  4
191

192
julia> b = view(A, :, 1)
193
2-element view(::Matrix{Int64}, :, 1) with eltype Int64:
194
 1
195
 3
196

197
julia> fill!(b, 0)
198
2-element view(::Matrix{Int64}, :, 1) with eltype Int64:
199
 0
200
 0
201

202
julia> A # Note A has changed even though we modified b
203
2×2 Matrix{Int64}:
204
 0  2
205
 0  4
206

207
julia> view(2:5, 2:3) # returns a range as type is immutable
208
3:4
209
```
210
"""
211
function view(A::AbstractArray, I::Vararg{Any,M}) where {M}
9,808✔
212
    @inline
86,637,432✔
213
    J = map(i->unalias(A,i), to_indices(A, I))
172,468,690✔
214
    @boundscheck checkbounds(A, J...)
89,816,934✔
215
    J′ = rm_singleton_indices(ntuple(Returns(true), Val(ndims(A))), J...)
86,637,405✔
216
    unsafe_view(_maybe_reshape_parent(A, index_ndims(J′...)), J′...)
89,819,650✔
217
end
218

219
# Ranges implement getindex to return recomputed ranges; use that for views, too (when possible)
220
function view(r1::AbstractUnitRange, r2::AbstractUnitRange{<:Integer})
10✔
221
    @_propagate_inbounds_meta
414✔
222
    getindex(r1, r2)
414✔
223
end
224
function view(r1::AbstractUnitRange, r2::StepRange{<:Integer})
3✔
225
    @_propagate_inbounds_meta
3✔
226
    getindex(r1, r2)
3✔
227
end
228
function view(r1::StepRange, r2::AbstractRange{<:Integer})
1✔
229
    @_propagate_inbounds_meta
4✔
230
    getindex(r1, r2)
4✔
231
end
232
function view(r1::StepRangeLen, r2::OrdinalRange{<:Integer})
×
233
    @_propagate_inbounds_meta
×
234
    getindex(r1, r2)
×
235
end
236
function view(r1::LinRange, r2::OrdinalRange{<:Integer})
×
237
    @_propagate_inbounds_meta
×
238
    getindex(r1, r2)
×
239
end
240

241
# getindex(r::AbstractRange, ::Colon) returns a copy of the range, and we may do the same for a view
242
function view(r1::AbstractRange, c::Colon)
3✔
243
    @_propagate_inbounds_meta
3✔
244
    getindex(r1, c)
3✔
245
end
246

247
function unsafe_view(A::AbstractArray, I::Vararg{ViewIndex,N}) where {N}
6✔
248
    @inline
84,670,895✔
249
    SubArray(A, I)
89,550,428✔
250
end
251
# When we take the view of a view, it's often possible to "reindex" the parent
252
# view's indices such that we can "pop" the parent view and keep just one layer
253
# of indirection. But we can't always do this because arrays of `CartesianIndex`
254
# might span multiple parent indices, making the reindex calculation very hard.
255
# So we use _maybe_reindex to figure out if there are any arrays of
256
# `CartesianIndex`, and if so, we punt and keep two layers of indirection.
257
unsafe_view(V::SubArray, I::Vararg{ViewIndex,N}) where {N} =
258
    (@inline; _maybe_reindex(V, I))
269,144✔
259
_maybe_reindex(V, I) = (@inline; _maybe_reindex(V, I, I))
269,144✔
260
_maybe_reindex(V, I, ::Tuple{AbstractArray{<:AbstractCartesianIndex}, Vararg{Any}}) =
261
    (@inline; SubArray(V, I))
18✔
262
# But allow arrays of CartesianIndex{1}; they behave just like arrays of Ints
263
_maybe_reindex(V, I, A::Tuple{AbstractArray{<:AbstractCartesianIndex{1}}, Vararg{Any}}) =
×
264
    (@inline; _maybe_reindex(V, I, tail(A)))
×
265
_maybe_reindex(V, I, A::Tuple{Any, Vararg{Any}}) = (@inline; _maybe_reindex(V, I, tail(A)))
283,753✔
266
function _maybe_reindex(V, I, ::Tuple{})
267
    @inline
268,884✔
268
    @inbounds idxs = to_indices(V.parent, reindex(V.indices, I))
269,563✔
269
    SubArray(V.parent, idxs)
269,043✔
270
end
271

272
## Re-indexing is the heart of a view, transforming A[i, j][x, y] to A[i[x], j[y]]
273
#
274
# Recursively look through the heads of the parent- and sub-indices, considering
275
# the following cases:
276
# * Parent index is array  -> re-index that with one or more sub-indices (one per dimension)
277
# * Parent index is Colon  -> just use the sub-index as provided
278
# * Parent index is scalar -> that dimension was dropped, so skip the sub-index and use the index as is
279

280
AbstractZeroDimArray{T} = AbstractArray{T, 0}
281

282
reindex(::Tuple{}, ::Tuple{}) = ()
113✔
283

284
# Skip dropped scalars, so simply peel them off the parent indices and continue
285
reindex(idxs::Tuple{ScalarIndex, Vararg{Any}}, subidxs::Tuple{Vararg{Any}}) =
286
    (@_propagate_inbounds_meta; (idxs[1], reindex(tail(idxs), subidxs)...))
2,589,007✔
287

288
# Slices simply pass their subindices straight through
289
reindex(idxs::Tuple{Slice, Vararg{Any}}, subidxs::Tuple{Any, Vararg{Any}}) =
21✔
290
    (@_propagate_inbounds_meta; (subidxs[1], reindex(tail(idxs), tail(subidxs))...))
6,664,427✔
291

292
# Re-index into parent vectors with one subindex
293
reindex(idxs::Tuple{AbstractVector, Vararg{Any}}, subidxs::Tuple{Any, Vararg{Any}}) =
294
    (@_propagate_inbounds_meta; (idxs[1][subidxs[1]], reindex(tail(idxs), tail(subidxs))...))
33,036,040✔
295

296
# Parent matrices are re-indexed with two sub-indices
297
reindex(idxs::Tuple{AbstractMatrix, Vararg{Any}}, subidxs::Tuple{Any, Any, Vararg{Any}}) =
298
    (@_propagate_inbounds_meta; (idxs[1][subidxs[1], subidxs[2]], reindex(tail(idxs), tail(tail(subidxs)))...))
519,683✔
299

300
# In general, we index N-dimensional parent arrays with N indices
301
@generated function reindex(idxs::Tuple{AbstractArray{T,N}, Vararg{Any}}, subidxs::Tuple{Vararg{Any}}) where {T,N}
104,288✔
302
    if length(subidxs.parameters) >= N
218✔
303
        subs = [:(subidxs[$d]) for d in 1:N]
214✔
304
        tail = [:(subidxs[$d]) for d in N+1:length(subidxs.parameters)]
214✔
305
        :(@_propagate_inbounds_meta; (idxs[1][$(subs...)], reindex(tail(idxs), ($(tail...),))...))
52,358✔
306
    else
307
        :(throw(ArgumentError("cannot re-index SubArray with fewer indices than dimensions\nThis should not occur; please submit a bug report.")))
222✔
308
    end
309
end
310

311
# In general, we simply re-index the parent indices by the provided ones
312
SlowSubArray{T,N,P,I} = SubArray{T,N,P,I,false}
313
function getindex(V::SubArray{T,N}, I::Vararg{Int,N}) where {T,N}
14,557✔
314
    @inline
15,411,279✔
315
    @boundscheck checkbounds(V, I...)
15,411,659✔
316
    @inbounds r = V.parent[reindex(V.indices, I)...]
16,325,268✔
317
    r
15,411,184✔
318
end
319

320
# But SubArrays with fast linear indexing pre-compute a stride and offset
321
FastSubArray{T,N,P,I} = SubArray{T,N,P,I,true}
322
# We define a convenience functions to compute the shifted parent index
323
# This differs from reindex as this accepts the view directly, instead of its indices
324
@inline _reindexlinear(V::FastSubArray, i::Int) = V.offset1 + V.stride1*i
22,174,334✔
325
@inline _reindexlinear(V::FastSubArray, i::AbstractUnitRange{Int}) = V.offset1 .+ V.stride1 .* i
54✔
326

327
function getindex(V::FastSubArray, i::Int)
8,746✔
328
    @inline
667,541✔
329
    @boundscheck checkbounds(V, i)
667,547✔
330
    @inbounds r = V.parent[_reindexlinear(V, i)]
667,535✔
331
    r
667,535✔
332
end
333

334
# For vector views with linear indexing, we disambiguate to favor the stride/offset
335
# computation as that'll generally be faster than (or just as fast as) re-indexing into a range.
336
function getindex(V::FastSubArray{<:Any, 1}, i::Int)
4,135✔
337
    @inline
280,871,763✔
338
    @boundscheck checkbounds(V, i)
416,595,761✔
339
    @inbounds r = V.parent[_reindexlinear(V, i)]
416,595,749✔
340
    r
280,871,757✔
341
end
342

343
# We can avoid a multiplication if the first parent index is a Colon or AbstractUnitRange,
344
# or if all the indices are scalars, i.e. the view is for a single value only
345
FastContiguousSubArray{T,N,P,I<:Union{Tuple{AbstractUnitRange, Vararg{Any}},
346
                                      Tuple{Vararg{ScalarIndex}}}} = SubArray{T,N,P,I,true}
347

348
@inline _reindexlinear(V::FastContiguousSubArray, i::Int) = V.offset1 + i
825,045,011✔
349
@inline _reindexlinear(V::FastContiguousSubArray, i::AbstractUnitRange{Int}) = V.offset1 .+ i
699✔
350

351
"""
352
An internal type representing arrays stored contiguously in memory.
353
"""
354
const DenseArrayType{T,N} = Union{
355
    DenseArray{T,N},
356
    <:FastContiguousSubArray{T,N,<:DenseArray},
357
}
358

359
"""
360
An internal type representing mutable arrays stored contiguously in memory.
361
"""
362
const MutableDenseArrayType{T,N} = Union{
363
    Array{T, N},
364
    Memory{T},
365
    FastContiguousSubArray{T,N,<:Array},
366
    FastContiguousSubArray{T,N,<:Memory}
367
}
368

369
# parents of FastContiguousSubArrays may support fast indexing with AbstractUnitRanges,
370
# so we may just forward the indexing to the parent
371
# This may only be done for non-offset ranges, as the result would otherwise have offset axes
372
const _OneBasedRanges = Union{OneTo{Int}, UnitRange{Int}, Slice{OneTo{Int}}, IdentityUnitRange{OneTo{Int}}}
373
function getindex(V::FastContiguousSubArray, i::_OneBasedRanges)
674✔
374
    @inline
690✔
375
    @boundscheck checkbounds(V, i)
690✔
376
    @inbounds r = V.parent[_reindexlinear(V, i)]
1,418✔
377
    r
690✔
378
end
379

380
@inline getindex(V::FastContiguousSubArray, i::Colon) = getindex(V, to_indices(V, (:,))...)
14✔
381

382
# Indexed assignment follows the same pattern as `getindex` above
383
function setindex!(V::SubArray{T,N}, x, I::Vararg{Int,N}) where {T,N}
188,117✔
384
    @inline
9,613,365✔
385
    @boundscheck checkbounds(V, I...)
9,618,748✔
386
    @inbounds V.parent[reindex(V.indices, I)...] = x
9,618,722✔
387
    V
9,613,352✔
388
end
389
function setindex!(V::FastSubArray, x, i::Int)
390
    @inline
1,002,144✔
391
    @boundscheck checkbounds(V, i)
1,002,144✔
392
    @inbounds V.parent[_reindexlinear(V, i)] = x
1,002,144✔
393
    V
1,002,144✔
394
end
395
function setindex!(V::FastSubArray{<:Any, 1}, x, i::Int)
1✔
396
    @inline
429,269,997✔
397
    @boundscheck checkbounds(V, i)
429,362,401✔
398
    @inbounds V.parent[_reindexlinear(V, i)] = x
429,362,401✔
399
    V
429,269,997✔
400
end
401

402
function setindex!(V::FastSubArray, x, i::AbstractUnitRange{Int})
10✔
403
    @inline
63✔
404
    @boundscheck checkbounds(V, i)
112✔
405
    @inbounds V.parent[_reindexlinear(V, i)] = x
245✔
406
    V
63✔
407
end
408

409
@inline setindex!(V::FastSubArray, x, i::Colon) = setindex!(V, x, to_indices(V, (i,))...)
53✔
410

411
function isassigned(V::SubArray{T,N}, I::Vararg{Int,N}) where {T,N}
5,676✔
412
    @inline
5,712✔
413
    @boundscheck checkbounds(Bool, V, I...) || return false
5,717✔
414
    @inbounds r = isassigned(V.parent, reindex(V.indices, I)...)
5,707✔
415
    r
5,707✔
416
end
417
function isassigned(V::FastSubArray, i::Int)
×
418
    @inline
×
419
    @boundscheck checkbounds(Bool, V, i) || return false
×
420
    @inbounds r = isassigned(V.parent, _reindexlinear(V, i))
×
421
    r
×
422
end
423
function isassigned(V::FastSubArray{<:Any, 1}, i::Int)
8✔
424
    @inline
48✔
425
    @boundscheck checkbounds(Bool, V, i) || return false
52✔
426
    @inbounds r = isassigned(V.parent, _reindexlinear(V, i))
44✔
427
    r
44✔
428
end
429

430
IndexStyle(::Type{<:FastSubArray}) = IndexLinear()
47,759,745✔
431

432
# Strides are the distance in memory between adjacent elements in a given dimension
433
# which we determine from the strides of the parent
434
strides(V::SubArray) = substrides(strides(V.parent), V.indices)
123,889✔
435

UNCOV
436
substrides(strds::Tuple{}, ::Tuple{}) = ()
×
437
substrides(strds::NTuple{N,Int}, I::Tuple{ScalarIndex, Vararg{Any}}) where N = (substrides(tail(strds), tail(I))...,)
19,025✔
438
substrides(strds::NTuple{N,Int}, I::Tuple{Slice, Vararg{Any}}) where N = (first(strds), substrides(tail(strds), tail(I))...)
56,032✔
439
substrides(strds::NTuple{N,Int}, I::Tuple{AbstractRange, Vararg{Any}}) where N = (first(strds)*step(I[1]), substrides(tail(strds), tail(I))...)
174,778✔
440
substrides(strds, I::Tuple{Any, Vararg{Any}}) = throw(ArgumentError(
×
441
    LazyString("strides is invalid for SubArrays with indices of type ", typeof(I[1]))))
442

443
stride(V::SubArray, d::Integer) = d <= ndims(V) ? strides(V)[d] : strides(V)[end] * size(V)[end]
27,269✔
444

445
compute_stride1(parent::AbstractArray, I::NTuple{N,Any}) where {N} =
6✔
446
    (@inline; compute_stride1(1, fill_to_length(axes(parent), OneTo(1), Val(N)), I))
84,233,419✔
447
compute_stride1(s, inds, I::Tuple{}) = s
2✔
448
compute_stride1(s, inds, I::Tuple{Vararg{ScalarIndex}}) = s
109✔
449
compute_stride1(s, inds, I::Tuple{ScalarIndex, Vararg{Any}}) =
450
    (@inline; compute_stride1(s*length(inds[1]), tail(inds), tail(I)))
262,855✔
451
compute_stride1(s, inds, I::Tuple{AbstractRange, Vararg{Any}}) = s*step(I[1])
54,804,207✔
452
compute_stride1(s, inds, I::Tuple{Slice, Vararg{Any}}) = s
31,092✔
453
compute_stride1(s, inds, I::Tuple{Any, Vararg{Any}}) = throw(ArgumentError(LazyString("invalid strided index type ", typeof(I[1]))))
×
454

455
elsize(::Type{<:SubArray{<:Any,<:Any,P}}) where {P} = elsize(P)
56,095,171✔
456

457
iscontiguous(A::SubArray) = iscontiguous(typeof(A))
61✔
458
iscontiguous(::Type{<:SubArray}) = false
×
459
iscontiguous(::Type{<:FastContiguousSubArray}) = true
×
460

461
first_index(V::FastSubArray) = V.offset1 + V.stride1 * firstindex(V) # cached for fast linear SubArrays
55,264,673✔
462
first_index(V::SubArray) = compute_linindex(parent(V), V.indices)
67,916✔
463

464
# Computing the first index simply steps through the indices, accumulating the
465
# sum of index each multiplied by the parent's stride.
466
# The running sum is `f`; the cumulative stride product is `s`.
467
# If the parent is a vector, then we offset the parent's own indices with parameters of I
468
compute_offset1(parent::AbstractVector, stride1::Integer, I::Tuple{AbstractRange}) =
6✔
469
    (@inline; first(I[1]) - stride1*first(axes1(I[1])))
86,935,193✔
470
# If the result is one-dimensional and it's a Colon, then linear
471
# indexing uses the indices along the given dimension.
472
# If the result is one-dimensional and it's a range, then linear
473
# indexing might be offset if the index itself is offset
474
# Otherwise linear indexing always matches the parent.
475
compute_offset1(parent, stride1::Integer, I::Tuple) =
476
    (@inline; compute_offset1(parent, stride1, find_extended_dims(1, I...), find_extended_inds(I...), I))
736,885✔
477
compute_offset1(parent, stride1::Integer, dims::Tuple{Int}, inds::Tuple{Slice}, I::Tuple) =
478
    (@inline; compute_linindex(parent, I) - stride1*first(axes(parent, dims[1])))  # index-preserving case
297,239✔
479
compute_offset1(parent, stride1::Integer, dims, inds::Tuple{AbstractRange}, I::Tuple) =
480
    (@inline; compute_linindex(parent, I) - stride1*first(axes1(inds[1]))) # potentially index-offsetting case
409,408✔
481
compute_offset1(parent, stride1::Integer, dims, inds, I::Tuple) =
482
    (@inline; compute_linindex(parent, I) - stride1)
30,238✔
483
function compute_linindex(parent, I::NTuple{N,Any}) where N
484
    @inline
787,246✔
485
    IP = fill_to_length(axes(parent), OneTo(1), Val(N))
804,782✔
486
    compute_linindex(first(LinearIndices(parent)), 1, IP, I)
804,782✔
487
end
488
function compute_linindex(f, s, IP::Tuple, I::Tuple{Any, Vararg{Any}})
1✔
489
    @inline
402,169✔
490
    Δi = first(I[1])-first(IP[1])
1,127,966✔
491
    compute_linindex(f + Δi*s, s*length(IP[1]), tail(IP), tail(I))
1,669,555✔
492
end
493
compute_linindex(f, s, IP::Tuple, I::Tuple{}) = f
8,038✔
494

495
find_extended_dims(dim, ::ScalarIndex, I...) = (@inline; find_extended_dims(dim + 1, I...))
264,564✔
496
find_extended_dims(dim, i1, I...) = (@inline; (dim, find_extended_dims(dim + 1, I...)...))
321,942✔
497
find_extended_dims(dim) = ()
9✔
498
find_extended_inds(::ScalarIndex, I...) = (@inline; find_extended_inds(I...))
264,564✔
499
find_extended_inds(i1, I...) = (@inline; (i1, find_extended_inds(I...)...))
321,942✔
500
find_extended_inds() = ()
9✔
501

502
pointer(V::FastSubArray, i::Int) = pointer(V.parent, V.offset1 + V.stride1*i)
2,610✔
503
pointer(V::FastContiguousSubArray, i::Int) = pointer(V.parent, V.offset1 + i)
9,635✔
504

505
function pointer(V::SubArray{<:Any,<:Any,<:Array,<:Tuple{Vararg{RangeIndex}}}, is::AbstractCartesianIndex{N}) where {N}
×
506
    index = first_index(V)
×
507
    strds = strides(V)
×
508
    for d = 1:N
×
509
        index += (is[d]-1)*strds[d]
×
510
    end
×
511
    return pointer(V.parent, index)
×
512
end
513

514
# indices are taken from the range/vector
515
# Since bounds-checking is performance-critical and uses
516
# indices, it's worth optimizing these implementations thoroughly
517
axes(S::SubArray) = (@inline; _indices_sub(S.indices...))
101,420,295✔
518
_indices_sub(::Real, I...) = (@inline; _indices_sub(I...))
3,956,628✔
519
_indices_sub() = ()
55,728,145✔
520
function _indices_sub(i1::AbstractArray, I...)
211✔
521
    @inline
76,303,305✔
522
    (axes(i1)..., _indices_sub(I...)...)
132,760,604✔
523
end
524

525
axes1(::SubArray{<:Any,0}) = OneTo(1)
×
526
axes1(S::SubArray) = (@inline; _axes1_sub(S.indices...))
946,070,711✔
527
_axes1_sub() = ()
×
528
_axes1_sub(::Real, I...) = (@inline; _axes1_sub(I...))
3,443,358✔
529
_axes1_sub(::AbstractArray{<:Any,0}, I...) = _axes1_sub(I...)
2,869✔
530
function _axes1_sub(i1::AbstractArray, I...)
109✔
531
    @inline
85,758,377✔
532
    axes1(i1)
916,569,723✔
533
end
534

535
has_offset_axes(S::SubArray) = has_offset_axes(S.indices...)
808,077✔
536

537
function replace_in_print_matrix(S::SubArray{<:Any,2,<:AbstractMatrix}, i::Integer, j::Integer, s::AbstractString)
7✔
538
    replace_in_print_matrix(S.parent, to_indices(S.parent, reindex(S.indices, (i,j)))..., s)
7✔
539
end
540
function replace_in_print_matrix(S::SubArray{<:Any,1,<:AbstractVector}, i::Integer, j::Integer, s::AbstractString)
16✔
541
    replace_in_print_matrix(S.parent, to_indices(S.parent, reindex(S.indices, (i,)))..., j, s)
16✔
542
end
543

544
# XXX: this is considerably more unsafe than the other similarly named methods
545
unsafe_wrap(::Type{Vector{UInt8}}, s::FastContiguousSubArray{UInt8,1,Vector{UInt8}}) = unsafe_wrap(Vector{UInt8}, pointer(s), size(s))
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