--- a/src/SbpOperators/stencil.jl	Thu Feb 10 11:26:28 2022 +0100
+++ b/src/SbpOperators/stencil.jl	Sat Feb 12 22:02:06 2022 +0100
@@ -2,11 +2,11 @@
 export CenteredNestedStencil
 
 struct Stencil{T,N}
-    range::Tuple{Int,Int}
+    range::UnitRange
     weights::NTuple{N,T}
 
-    function Stencil(range::Tuple{Int,Int},weights::NTuple{N,T}) where {T, N}
-        @assert range[2]-range[1]+1 == N
+    function Stencil(range::UnitRange,weights::NTuple{N,T}) where {T, N}
+        @assert length(range) == N
         new{T,N}(range,weights)
     end
 end
@@ -16,27 +16,30 @@
 
 Create a stencil with the given weights with element `center` as the center of the stencil.
 """
-function Stencil(weights::Vararg{T}; center::Int) where T # Type parameter T makes sure the weights are valid for the Stencil constuctors and throws an earlier, more readable, error
+function Stencil(weights...; center::Int)
+    weights = promote(weights...)
     N = length(weights)
-    range = (1, N) .- center
+    range = (1:N) .- center
 
     return Stencil(range, weights)
 end
 
-function Stencil{T}(s::Stencil) where T
-    return Stencil(s.range, T.(s.weights))
-end
+Stencil{T,N}(s::Stencil{S,N}) where {T,S,N} = Stencil(s.range, T.(s.weights))
+Stencil{T}(s::Stencil) where T = Stencil{T,length(s)}(s)
 
-Base.convert(::Type{Stencil{T}}, stencil) where T = Stencil{T}(stencil)
+Base.convert(::Type{Stencil{T1,N}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s)
+Base.convert(::Type{Stencil{T1}}, s::Stencil{T2,N}) where {T1,T2,N} = Stencil{T1,N}(s)
 
-function CenteredStencil(weights::Vararg{T}) where T
+Base.promote_rule(::Type{Stencil{T1,N}}, ::Type{Stencil{T2,N}}) where {T1,T2,N} = Stencil{promote_type(T1,T2),N}
+
+function CenteredStencil(weights...)
     if iseven(length(weights))
         throw(ArgumentError("a centered stencil must have an odd number of weights."))
     end
 
     r = length(weights) ÷ 2
 
-    return Stencil((-r, r), weights)
+    return Stencil(-r:r, weights)
 end
 
 
@@ -59,24 +62,25 @@
 
 # Provides index into the Stencil based on offset for the root element
 @inline function Base.getindex(s::Stencil, i::Int)
-    @boundscheck if i < s.range[1] || s.range[2] < i
+    @boundscheck if i ∉ s.range
         return zero(eltype(s))
     end
     return s.weights[1 + i - s.range[1]]
 end
 
-Base.@propagate_inbounds @inline function apply_stencil(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
-    w = s.weights[1]*v[i + s.range[1]]
-    @simd for k ∈ 2:N
-        w += s.weights[k]*v[i + s.range[1] + k-1]
+Base.@propagate_inbounds @inline function apply_stencil(s::Stencil, v::AbstractVector, i::Int)
+    w = zero(eltype(v))
+    @simd for k ∈ 1:length(s)
+        w += s.weights[k]*v[i + s.range[k]]
     end
+
     return w
 end
 
-Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil{T,N}, v::AbstractVector, i::Int) where {T,N}
-    w = s.weights[N]*v[i - s.range[2]]
-    @simd for k ∈ N-1:-1:1
-        w += s.weights[k]*v[i - s.range[1] - k + 1]
+Base.@propagate_inbounds @inline function apply_stencil_backwards(s::Stencil, v::AbstractVector, i::Int)
+    w = zero(eltype(v))
+    @simd for k ∈ length(s):-1:1
+        w += s.weights[k]*v[i - s.range[k]]
     end
     return w
 end