Fix implementation of mul! for AbstractMatrix and AbstractVector (#252)

src/implementations/LinearAlgebra.jl

@@ -223,41 +223,6 @@ function promote_array_mul(
     return Vector{promote_sum_mul(S, T)}
 end
 
-################################################################################
-# We roll our own matmul here (instead of using Julia's generic fallbacks)
-# because doing so allows us to accumulate the expressions for the inner loops
-# in-place.
-# Additionally, Julia's generic fallbacks can be finnicky when your array
-# elements aren't `<:Number`.
-
-# This method of `mul!` is adapted from upstream Julia. Note that we
-# confuse transpose with adjoint.
-#=
-> Copyright (c) 2009-2018: Jeff Bezanson, Stefan Karpinski, Viral B. Shah,
-> and other contributors:
->
-> https://github.com/JuliaLang/julia/contributors
->
-> Permission is hereby granted, free of charge, to any person obtaining
-> a copy of this software and associated documentation files (the
-> "Software"), to deal in the Software without restriction, including
-> without limitation the rights to use, copy, modify, merge, publish,
-> distribute, sublicense, and/or sell copies of the Software, and to
-> permit persons to whom the Software is furnished to do so, subject to
-> the following conditions:
->
-> The above copyright notice and this permission notice shall be
-> included in all copies or substantial portions of the Software.
->
-> THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-> EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-> MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
-> NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
-> LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
-> OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
-> WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
-=#
-
 function _dim_check(C::AbstractVector, A::AbstractMatrix, B::AbstractVector)
     mB = length(B)
     mA, nA = size(A)
@@ -298,46 +263,44 @@ function _dim_check(C::AbstractMatrix, A::AbstractMatrix, B::AbstractMatrix)
     return
 end
 
-function _add_mul_array(buffer, C::Vector, A::AbstractMatrix, B::AbstractVector)
-    Astride = size(A, 1)
-    # We need a buffer to hold the intermediate multiplication.
-    @inbounds begin
-        for k in eachindex(B)
-            aoffs = (k - 1) * Astride
-            b = B[k]
-            for i in Base.OneTo(size(A, 1))
-                C[i] = buffered_operate!!(buffer, add_mul, C[i], A[aoffs+i], b)
-            end
-        end
-    end # @inbounds
-    return C
-end
-
-# This is incorrect if `C` is `LinearAlgebra.Symmetric` as we modify twice the
-# same diagonal element.
-function _add_mul_array(buffer, C::Matrix, A::AbstractMatrix, B::AbstractMatrix)
-    @inbounds begin
-        for i in 1:size(A, 1), j in 1:size(B, 2)
-            Ctmp = C[i, j]
-            for k in 1:size(A, 2)
-                Ctmp =
-                    buffered_operate!!(buffer, add_mul, Ctmp, A[i, k], B[k, j])
-            end
-            C[i, j] = Ctmp
+function buffered_operate!(
+    buffer,
+    ::typeof(add_mul),
+    C::Vector,
+    A::AbstractMatrix,
+    B::AbstractVector,
+)
+    _dim_check(C, A, B)
+    for (ci, ai) in zip(axes(C, 1), axes(A, 1))
+        for (aj, bj) in zip(axes(A, 2), axes(B, 1))
+            C[ci] = buffered_operate!!(buffer, add_mul, C[ci], A[ai, aj], B[bj])
         end
-    end # @inbounds
+    end
     return C
 end
 
 function buffered_operate!(
     buffer,
     ::typeof(add_mul),
-    C::VecOrMat,
+    C::Matrix,
     A::AbstractMatrix,
-    B::AbstractVecOrMat,
+    B::AbstractMatrix,
 )
     _dim_check(C, A, B)
-    return _add_mul_array(buffer, C, A, B)
+    for (ci, ai) in zip(axes(C, 1), axes(A, 1))
+        for (cj, bj) in zip(axes(C, 2), axes(B, 2))
+            for (aj, bi) in zip(axes(A, 2), axes(B, 1))
+                C[ci, cj] = buffered_operate!!(
+                    buffer,
+                    add_mul,
+                    C[ci, cj],
+                    A[ai, aj],
+                    B[bi, bj],
+                )
+            end
+        end
+    end
+    return C
 end
 
 function buffer_for(

test/matmul.jl

@@ -304,6 +304,8 @@ Base.size(x::Issue65Matrix) = size(x.x)
 Base.getindex(x::Issue65Matrix, args...) = getindex(x.x, args...)
 Base.axes(x::Issue65Matrix, n) = Issue65OneTo(size(x.x, n))
 Base.convert(::Type{Base.OneTo}, x::Issue65OneTo) = Base.OneTo(x.N)
+Base.iterate(x::Issue65OneTo) = iterate(Base.OneTo(x.N))
+Base.iterate(x::Issue65OneTo, arg) = iterate(Base.OneTo(x.N), arg)
 
 @testset "Issue #65" begin
     x = [1.0 2.0; 3.0 4.0]