Store indices in CartesianRange

The main advantage of this change is that you no longer lose type information from `CartesianRange(indices(A))`. The types of the specific AbstractUnitRanges are important for `similar`, etc.

base/deprecated.jl

@@ -1283,4 +1283,10 @@ end
 # END 0.6 deprecations
 
 # BEGIN 1.0 deprecations
+function CartesianRange{N}(start::CartesianIndex{N}, stop::CartesianIndex{N})
+    inds = map((f,l)->f:l, start.I, stop.I)
+    depwarn("the internal representation of CartesianRange has changed, use CartesianRange($inds) (or other more approriate AbstractUnitRange type) instead.", :CartesianRange)
+    CartesianRange(inds)
+end
+
 # END 1.0 deprecations

base/multidimensional.jl

@@ -2,7 +2,7 @@
 
 ### Multidimensional iterators
 module IteratorsMD
-    import Base: eltype, length, size, start, done, next, last, in, getindex,
+    import Base: eltype, length, size, start, done, next, first, last, in, getindex,
                  setindex!, IndexStyle, min, max, zero, one, isless, eachindex,
                  ndims, iteratorsize, convert
 
@@ -94,7 +94,6 @@ module IteratorsMD
 
     # Iteration
     """
-        CartesianRange(Istart::CartesianIndex, Istop::CartesianIndex) -> R
         CartesianRange(sz::Dims) -> R
         CartesianRange(istart:istop, jstart:jstop, ...) -> R
 
@@ -112,28 +111,48 @@ module IteratorsMD
     Consequently these can be useful for writing algorithms that
     work in arbitrary dimensions.
     """
-    struct CartesianRange{I<:CartesianIndex}
-        start::I
-        stop::I
+    struct CartesianRange{N,R<:NTuple{N,AbstractUnitRange{Int}}}
+        indices::R
     end
-
-    CartesianRange(index::CartesianIndex) = CartesianRange(one(index), index)
-    CartesianRange(::Tuple{}) = CartesianRange{CartesianIndex{0}}(CartesianIndex{0}(()),CartesianIndex{0}(()))
-    CartesianRange{N}(sz::NTuple{N,Int}) = CartesianRange(CartesianIndex(sz))
-    CartesianRange{N}(rngs::NTuple{N,Union{Integer,AbstractUnitRange}}) =
-        CartesianRange(CartesianIndex(map(first, rngs)), CartesianIndex(map(last, rngs)))
-
-    convert{N}(::Type{NTuple{N,UnitRange{Int}}}, R::CartesianRange{CartesianIndex{N}}) =
-        map((f,l)->f:l, first(R).I, last(R).I)
+    CartesianRange(::Tuple{}) = CartesianRange{0,typeof(())}(())
+    CartesianRange{N}(inds::NTuple{N,AbstractUnitRange{Int}}) =
+        CartesianRange{N,typeof(inds)}(inds)
+    CartesianRange{N}(inds::Vararg{AbstractUnitRange{Int},N}) =
+        CartesianRange(inds)
+    CartesianRange{N}(inds::NTuple{N,AbstractUnitRange{<:Integer}}) =
+        CartesianRange(ur_int.(inds))
+    CartesianRange{N}(inds::Vararg{AbstractUnitRange{<:Integer},N}) =
+        CartesianRange(ur_int.(inds))
+    ur_int(r::AbstractUnitRange{Int}) = r
+    # This should be specialized for other AbstractUnitRanges
+    ur_int(r::UnitRange{<:Integer}) = convert(UnitRange{Int}, r)
+    ur_int(r::Base.OneTo{<:Integer}) = convert(Base.OneTo{Int}, r)
+
+    CartesianRange(index::CartesianIndex) = CartesianRange(index.I)
+    CartesianRange{N}(sz::NTuple{N,<:Integer}) = CartesianRange(map(Base.OneTo, sz))
+    CartesianRange{N}(inds::NTuple{N,Union{<:Integer,AbstractUnitRange{<:Integer}}}) =
+        CartesianRange(map(i->first(i):last(i), inds))
+
+    convert{N}(::Type{NTuple{N,AbstractUnitRange{Int}}}, R::CartesianRange{N}) =
+        R.indices
+    convert{N}(::Type{NTuple{N,AbstractUnitRange}}, R::CartesianRange) =
+        convert(NTuple{N,AbstractUnitRange{Int}}, R)
+    convert{N}(::Type{NTuple{N,UnitRange{Int}}}, R::CartesianRange) =
+        UnitRange{Int}.(convert(NTuple{N,AbstractUnitRange}, R))
     convert{N}(::Type{NTuple{N,UnitRange}}, R::CartesianRange) =
-        convert(NTuple{N,UnitRange{Int}}, R)
-    convert{N}(::Type{Tuple{Vararg{UnitRange{Int}}}}, R::CartesianRange{CartesianIndex{N}}) =
+        UnitRange.(convert(NTuple{N,AbstractUnitRange}, R))
+    convert{N}(::Type{Tuple{Vararg{AbstractUnitRange{Int}}}}, R::CartesianRange{N}) =
+        convert(NTuple{N,AbstractUnitRange{Int}}, R)
+    convert(::Type{Tuple{Vararg{AbstractUnitRange}}}, R::CartesianRange) =
+        convert(Tuple{Vararg{AbstractUnitRange{Int}}}, R)
+    convert{N}(::Type{Tuple{Vararg{UnitRange{Int}}}}, R::CartesianRange{N}) =
         convert(NTuple{N,UnitRange{Int}}, R)
     convert(::Type{Tuple{Vararg{UnitRange}}}, R::CartesianRange) =
         convert(Tuple{Vararg{UnitRange{Int}}}, R)
 
-    ndims(R::CartesianRange) = length(R.start)
-    ndims{I<:CartesianIndex}(::Type{CartesianRange{I}}) = length(I)
+    ndims(R::CartesianRange) = ndims(typeof(R))
+    ndims{N}(::Type{CartesianRange{N}}) = N
+    ndims{N,TT}(::Type{CartesianRange{N,TT}}) = N
 
     eachindex(::IndexCartesian, A::AbstractArray) = CartesianRange(indices(A))
 
@@ -146,17 +165,20 @@ module IteratorsMD
     @inline maxt(a::Tuple,   b::Tuple{}) = a
     @inline maxt(a::Tuple,   b::Tuple)   = (max(a[1], b[1]), maxt(tail(a), tail(b))...)
 
-    eltype{I}(::Type{CartesianRange{I}}) = I
+    eltype(R::CartesianRange) = eltype(typeof(R))
+    eltype{N}(::Type{CartesianRange{N}}) = CartesianIndex{N}
+    eltype{N,TT}(::Type{CartesianRange{N,TT}}) = CartesianIndex{N}
     iteratorsize(::Type{<:CartesianRange}) = Base.HasShape()
 
-    @inline function start(iter::CartesianRange{<:CartesianIndex})
-        if any(map(>, iter.start.I, iter.stop.I))
-            return iter.stop+1
+    @inline function start(iter::CartesianRange)
+        iterfirst, iterlast = first(iter), last(iter)
+        if any(map(>, iterfirst.I, iterlast.I))
+            return iterlast+1
         end
-        iter.start
+        iterfirst
     end
-    @inline function next{I<:CartesianIndex}(iter::CartesianRange{I}, state)
-        state, I(inc(state.I, iter.start.I, iter.stop.I))
+    @inline function next(iter::CartesianRange, state)
+        state, CartesianIndex(inc(state.I, first(iter).I, last(iter).I))
     end
     # increment & carry
     @inline inc(::Tuple{}, ::Tuple{}, ::Tuple{}) = ()
@@ -168,39 +190,38 @@ module IteratorsMD
         newtail = inc(tail(state), tail(start), tail(stop))
         (start[1], newtail...)
     end
-    @inline done(iter::CartesianRange{<:CartesianIndex}, state) = state.I[end] > iter.stop.I[end]
+    @inline done(iter::CartesianRange, state) = state.I[end] > last(iter.indices[end])
 
     # 0-d cartesian ranges are special-cased to iterate once and only once
-    start(iter::CartesianRange{<:CartesianIndex{0}}) = false
-    next(iter::CartesianRange{<:CartesianIndex{0}}, state) = iter.start, true
-    done(iter::CartesianRange{<:CartesianIndex{0}}, state) = state
+    start(iter::CartesianRange{0}) = false
+    next(iter::CartesianRange{0}, state) = CartesianIndex(), true
+    done(iter::CartesianRange{0}, state) = state
 
-    size(iter::CartesianRange{<:CartesianIndex}) = map(dimlength, iter.start.I, iter.stop.I)
+    size(iter::CartesianRange) = map(dimlength, first(iter).I, last(iter).I)
     dimlength(start, stop) = stop-start+1
 
     length(iter::CartesianRange) = prod(size(iter))
 
-    last(iter::CartesianRange) = iter.stop
+    first(iter::CartesianRange) = CartesianIndex(map(first, iter.indices))
+    last(iter::CartesianRange)  = CartesianIndex(map(last, iter.indices))
 
-    @inline function in{I<:CartesianIndex}(i::I, r::CartesianRange{I})
-        _in(true, i.I, r.start.I, r.stop.I)
+    @inline function in{N}(i::CartesianIndex{N}, r::CartesianRange{N})
+        _in(true, i.I, first(r).I, last(r).I)
     end
     _in(b, ::Tuple{}, ::Tuple{}, ::Tuple{}) = b
     @inline _in(b, i, start, stop) = _in(b & (start[1] <= i[1] <= stop[1]), tail(i), tail(start), tail(stop))
 
-    simd_outer_range(iter::CartesianRange{CartesianIndex{0}}) = iter
+    simd_outer_range(iter::CartesianRange{0}) = iter
     function simd_outer_range(iter::CartesianRange)
-        start = CartesianIndex(tail(iter.start.I))
-        stop  = CartesianIndex(tail(iter.stop.I))
-        CartesianRange(start, stop)
+        CartesianRange(tail(iter.indices))
     end
 
-    simd_inner_length(iter::CartesianRange{<:CartesianIndex{0}}, ::CartesianIndex) = 1
-    simd_inner_length(iter::CartesianRange, I::CartesianIndex) = iter.stop[1]-iter.start[1]+1
+    simd_inner_length(iter::CartesianRange{0}, ::CartesianIndex) = 1
+    simd_inner_length(iter::CartesianRange, I::CartesianIndex) = length(iter.indices[1])
 
-    simd_index(iter::CartesianRange{<:CartesianIndex{0}}, ::CartesianIndex, I1::Int) = iter.start
+    simd_index(iter::CartesianRange{0}, ::CartesianIndex, I1::Int) = first(iter)
     @inline function simd_index(iter::CartesianRange, Ilast::CartesianIndex, I1::Int)
-        CartesianIndex((I1+iter.start[1], Ilast.I...))
+        CartesianIndex((I1+first(iter.indices[1]), Ilast.I...))
     end
 
     # Split out the first N elements of a tuple
@@ -808,23 +829,23 @@ function copy!{T,N}(dest::AbstractArray{T,N}, src::AbstractArray{T,N})
 end
 
 @generated function copy!{T1,T2,N}(dest::AbstractArray{T1,N},
-                                   Rdest::CartesianRange{CartesianIndex{N}},
+                                   Rdest::CartesianRange{N},
                                    src::AbstractArray{T2,N},
-                                   Rsrc::CartesianRange{CartesianIndex{N}})
+                                   Rsrc::CartesianRange{N})
     quote
         isempty(Rdest) && return dest
         if size(Rdest) != size(Rsrc)
             throw(ArgumentError("source and destination must have same size (got $(size(Rsrc)) and $(size(Rdest)))"))
         end
-        @boundscheck checkbounds(dest, Rdest.start)
-        @boundscheck checkbounds(dest, Rdest.stop)
-        @boundscheck checkbounds(src, Rsrc.start)
-        @boundscheck checkbounds(src, Rsrc.stop)
-        ΔI = Rdest.start - Rsrc.start
+        @boundscheck checkbounds(dest, first(Rdest))
+        @boundscheck checkbounds(dest, last(Rdest))
+        @boundscheck checkbounds(src, first(Rsrc))
+        @boundscheck checkbounds(src, last(Rsrc))
+        ΔI = first(Rdest) - first(Rsrc)
         # TODO: restore when #9080 is fixed
         # for I in Rsrc
         #     @inbounds dest[I+ΔI] = src[I]
-        @nloops $N i (n->Rsrc.start[n]:Rsrc.stop[n]) begin
+        @nloops $N i (n->Rsrc.indices[n]) begin
             @inbounds @nref($N,dest,n->i_n+ΔI[n]) = @nref($N,src,i)
         end
         dest

base/permuteddimsarray.jl

@@ -157,7 +157,7 @@ function _copy!{T,N,perm}(P::PermutedDimsArray{T,N,perm}, src)
     return P
 end
 
-@noinline function _permutedims!(P::PermutedDimsArray, src, R1::CartesianRange{CartesianIndex{0}}, R2, R3, ds, dp)
+@noinline function _permutedims!(P::PermutedDimsArray, src, R1::CartesianRange{0}, R2, R3, ds, dp)
     ip, is = indices(src, dp), indices(src, ds)
     for jo in first(ip):8:last(ip), io in first(is):8:last(is)
         for I3 in R3, I2 in R2

test/arrayops.jl

@@ -1489,9 +1489,10 @@ end
     @test a[1,2] == 7
     @test 2*CartesianIndex{3}(1,2,3) == CartesianIndex{3}(2,4,6)
 
-    R = CartesianRange(CartesianIndex{2}(2,3),CartesianIndex{2}(5,5))
+    R = CartesianRange(2:5, 3:5)
     @test eltype(R) <: CartesianIndex{2}
     @test eltype(typeof(R)) <: CartesianIndex{2}
+    @test eltype(CartesianRange{2}) <: CartesianIndex{2}
     indexes = collect(R)
     @test indexes[1] == CartesianIndex{2}(2,3)
     @test indexes[2] == CartesianIndex{2}(3,3)
@@ -1513,8 +1514,8 @@ end
     @test @inferred(convert(NTuple{2,UnitRange}, R)) === (2:5, 3:5)
     @test @inferred(convert(Tuple{Vararg{UnitRange}}, R)) === (2:5, 3:5)
 
-    @test CartesianRange((3:5,-7:7)) == CartesianRange(CartesianIndex{2}(3,-7),CartesianIndex{2}(5,7))
-    @test CartesianRange((3,-7:7)) == CartesianRange(CartesianIndex{2}(3,-7),CartesianIndex{2}(3,7))
+    @test CartesianRange((3:5,-7:7)) == CartesianRange(3:5,-7:7)
+    @test CartesianRange((3,-7:7)) == CartesianRange(3:3,-7:7)
 end
 
 @testset "itr, start, done, next" begin

test/simdloop.jl

@@ -101,28 +101,23 @@ function simd_cartesian_range!(indexes, crng)
     indexes
 end
 
-crng = CartesianRange(CartesianIndex{4}(2,0,1,3),
-                      CartesianIndex{4}(4,1,1,5))
+crng = CartesianRange(2:4, 0:1, 1:1, 3:5)
 indexes = simd_cartesian_range!(Array{eltype(crng)}(0), crng)
 @test indexes == vec(collect(crng))
 
-crng = CartesianRange(CartesianIndex{2}(-1,1),
-                      CartesianIndex{2}(1,3))
+crng = CartesianRange(-1:1, 1:3)
 indexes = simd_cartesian_range!(Array{eltype(crng)}(0), crng)
 @test indexes == vec(collect(crng))
 
-crng = CartesianRange(CartesianIndex{2}(-1,1),
-                      CartesianIndex{2}(-1,3))
+crng = CartesianRange(-1:-1, 1:3)
 indexes = simd_cartesian_range!(Array{eltype(crng)}(0), crng)
 @test indexes == vec(collect(crng))
 
-crng = CartesianRange(CartesianIndex{1}(2),
-                      CartesianIndex{1}(4))
+crng = CartesianRange(2:4)
 indexes = simd_cartesian_range!(Array{eltype(crng)}(0), crng)
 @test indexes == collect(crng)
 
-crng = CartesianRange(CartesianIndex{0}(),
-                      CartesianIndex{0}())
+crng = CartesianRange()
 indexes = simd_cartesian_range!(Array{eltype(crng)}(0), crng)
 @test indexes == vec(collect(crng))