closes issue #214; close issue #215; adjust regisiter macros

Author: jverzani

src/abstract.jl

@@ -57,8 +57,35 @@ macro register(name)
 end
 
 
+macro registerN(name, params...)
+    poly = esc(name)
+    αs = tuple(esc.(params)...)
+    quote
+        Base.convert(::Type{P}, q::Q) where {$(αs...),T, P<:$poly{$(αs...),T}, Q <: $poly{$(αs...),T}} = q
+        Base.convert(::Type{$poly{$(αs...)}}, q::Q) where {$(αs...),T, Q <: $poly{$(αs...),T}} = q        
+        Base.promote(p::P, q::Q) where {$(αs...),T, P <:$poly{$(αs...),T}, Q <: $poly{$(αs...),T}} = p,q
+        Base.promote_rule(::Type{<:$poly{$(αs...),T}}, ::Type{<:$poly{$(αs...),S}}) where {$(αs...),T,S} =
+            $poly{$(αs...),promote_type(T, S)}
+        Base.promote_rule(::Type{<:$poly{$(αs...),T}}, ::Type{S}) where {$(αs...),T,S<:Number} = 
+            $poly{$(αs...),promote_type(T,S)}
+
+        function $poly{$(αs...),T}(x::AbstractVector{S}, var::SymbolLike = :x) where {$(αs...),T,S}
+            $poly{$(αs...),T}(T.(x), Symbol(var))
+        end
+        $poly{$(αs...)}(coeffs::AbstractVector{T}, var::SymbolLike=:x) where {$(αs...),T} =
+            $poly{$(αs...),T}(coeffs, Symbol(var))
+        $poly{$(αs...),T}(n::Number, var::SymbolLike = :x) where {$(αs...),T} = n*one($poly{$(αs...),T}, Symbol(var))
+        $poly{$(αs...)}(n::Number, var::SymbolLike = :x) where {$(αs...)} = n*one($poly{$(αs...)}, Symbol(var))
+        $poly{$(αs...),T}(var::SymbolLike=:x) where {$(αs...), T} = variable($poly{$(αs...),T}, Symbol(var))
+        $poly{$(αs...)}(var::SymbolLike=:x) where {$(αs...)} = variable($poly{$(αs...)}, Symbol(var))
+    end
+end
+
+
+# deprecated. If desired,  replace with  @registerN  type  parameters... macro
 # Macros to register POLY{α, T} and POLY{α, β, T}
 macro register1(name)
+    @warn "@register1 is deprecated use @registerN"
     poly = esc(name)
     quote
         Base.convert(::Type{P}, p::P) where {P<:$poly} = p
@@ -82,6 +109,7 @@ end
 
 # Macro to register POLY{α, β, T}
 macro register2(name)
+    @warn "@register2  is deprecated use @registerN"
     poly = esc(name)
     quote
         Base.convert(::Type{P}, p::P) where {P<:$poly} = p

src/common.jl

@@ -90,8 +90,16 @@ fit(P::Type{<:AbstractPolynomial},
     y,
     deg::Integer = length(x) - 1;
     weights = nothing,
-    var = :x,) = fit(P, promote(collect(x), collect(y))..., deg; weights = weights, var = var)
-
+    var = :x,) = fit'(P, promote(collect(x), collect(y))..., deg; weights = weights, var = var)
+
+#  avoid issue  214
+fit′(P::Type{<:AbstractPolynomial}, x, y, args...;kwargs...) = throw(MethodError("x and y do not produce abstract   vectors"))
+fit′(P::Type{<:AbstractPolynomial},
+     x::AbstractVector{T},
+     y::AbstractVector{T},
+     args...; kwargs...) where {T} = fit(P,x,y,args...;  kwargs...)
+         
+         
 fit(x::AbstractVector,
     y::AbstractVector,
     deg::Integer = length(x) - 1;
@@ -249,7 +257,8 @@ LinearAlgebra.norm(q::AbstractPolynomial, p::Real = 2) = norm(coeffs(q), p)
 
 Returns the complex conjugate of the polynomial
 """
-LinearAlgebra.conj(p::P) where {P <: AbstractPolynomial} = P(conj(coeffs(p)))
+LinearAlgebra.conj(p::P) where {P <: AbstractPolynomial} = ⟒(P)(conj(coeffs(p)), p.var)
+LinearAlgebra.adjoint(p::P) where {P <: AbstractPolynomial} = ⟒(P)(adjoint.(coeffs(p)), p.var)
 LinearAlgebra.transpose(p::AbstractPolynomial) = p
 LinearAlgebra.transpose!(p::AbstractPolynomial) = p
 

test/StandardBasis.jl

@@ -286,6 +286,9 @@ end
         yy = Real[15.7696, 21.4851, 28.2463]
         fit(P, xx, yy, 2)
 
+        # issue #214 --  should error
+        @test_throws MethodError fit(Polynomial, rand(2,2), rand(2,2))
+
     end
 end
 
@@ -574,6 +577,8 @@ end
         @test coeffs(p2) ==ᵗ⁰ [1 + 1im, 2 + 3im]
         @test transpose(p) == p
         P != ImmutablePolynomial && @test transpose!(p) == p
+        @test adjoint(Polynomial(im)) == Polynomial(-im) # issue 215
+        @test conj(Polynomial(im)) == Polynomial(-im) # issue 215
 
         @test norm(P([1., 2.])) == norm([1., 2.])
         @test norm(P([1., 2.]), 1) == norm([1., 2.], 1)