bandedTopelitz * padded

Author: dlfivefifty

src/banded/infbanded.jl

@@ -434,6 +434,7 @@ _bandedfill_mul(M::MulAdd, ::Tuple{Any,InfAxes}, ::Tuple{InfAxes,Any}) = ApplyAr
 
 mulreduce(M::Mul{BandedToeplitzLayout, BandedToeplitzLayout}) = ApplyArray(M)
 mulreduce(M::Mul{BandedToeplitzLayout}) = ApplyArray(M)
+mulreduce(M::Mul{BandedToeplitzLayout,<:PaddedLayout}) = MulAdd(M)
 mulreduce(M::Mul{<:Any, BandedToeplitzLayout}) = ApplyArray(M)
 mulreduce(M::Mul{<:BandedColumns{<:AbstractFillLayout}, PertToeplitzLayout}) = ApplyArray(M)
 mulreduce(M::Mul{<:PertToeplitzLayout, <:BandedColumns{<:AbstractFillLayout}}) = ApplyArray(M)

test/test_infbanded.jl

@@ -48,6 +48,9 @@ import BandedMatrices: _BandedMatrix
         @test Eye(∞) * A isa BandedMatrix
         @test A * Eye(∞) isa BandedMatrix
 
+        @test A * [1; 2; Zeros(∞)] isa Vcat
+        @test A * [1; 2; Zeros(∞)] == [A[1:5,1:2] * [1,2]; Zeros(∞)]
+
         @test MemoryLayout(Tridiagonal(Fill(1,∞), Fill(2,∞), Fill(3,∞))) isa TridiagonalToeplitzLayout
         @test MemoryLayout(Bidiagonal(Fill(1,∞), Fill(2,∞), :U)) isa BidiagonalToeplitzLayout
         @test MemoryLayout(SymTridiagonal(Fill(1,∞), Fill(2,∞))) isa TridiagonalToeplitzLayout