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Add element-wise operation support (closes #51) #52

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Jun 22, 2016
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17 changes: 12 additions & 5 deletions src/Polynomials.jl
Original file line number Diff line number Diff line change
Expand Up @@ -12,7 +12,7 @@ export Pade, padeval
export truncate!

import Base: length, endof, getindex, setindex!, copy, zero, one, convert, norm, gcd
import Base: show, print, *, /, //, -, +, ==, divrem, div, rem, eltype
import Base: show, print, *, /, //, -, +, ==, divrem, div, rem, eltype, .*, .-, .+
import Base: promote_rule, truncate, chop
if VERSION >= v"0.4"
import Base.call
Expand Down Expand Up @@ -111,6 +111,7 @@ convert{T}(::Type{Poly{T}}, p::Poly) = Poly(convert(Vector{T}, p.a), p.var)
convert{T, S<:Number}(::Type{Poly{T}}, x::S) = Poly(promote_type(T, S)[x])
convert{T, S<:Number,n}(::Type{Poly{T}}, x::Array{S,n}) = map(el->convert(Poly{promote_type(T,S)},el),x)
promote_rule{T, S}(::Type{Poly{T}}, ::Type{Poly{S}}) = Poly{promote_type(T, S)}
promote_rule{T, S<:Number}(::Type{Poly{T}}, ::Type{S}) = Poly{promote_type(T, S)}
eltype{T}(::Poly{T}) = T

"""
Expand Down Expand Up @@ -212,11 +213,17 @@ one{T}(::Type{Poly{T}}) = Poly([one(T)])
## Overload arithmetic operators for polynomial operations between polynomials and scalars
*{T<:Number,S}(c::T, p::Poly{S}) = Poly(c * p.a, p.var)
*{T<:Number,S}(p::Poly{S}, c::T) = Poly(p.a * c, p.var)
.*{T<:Number,S}(c::T, p::Poly{S}) = Poly(c * p.a, p.var)
.*{T<:Number,S}(p::Poly{S}, c::T) = Poly(p.a * c, p.var)
/(p::Poly, c::Number) = Poly(p.a / c, p.var)
-(p::Poly) = Poly(-p.a, p.var)
-(p::Poly, c::Number) = +(p, -c)
+(c::Number, p::Poly) = +(p, c)
function +(p::Poly, c::Number)
-{T<:Number}(p::Poly, c::T) = +(p, -c)
.-{T<:Number}(p::Poly, c::T) = +(p, -c)
.-{T<:Number}(c::T, p::Poly) = +(p, -c)
+{T<:Number}(c::T, p::Poly) = +(p, c)
.+{T<:Number}(c::T, p::Poly) = +(p, c)
.+{T<:Number}(p::Poly, c::T) = +(p, c)
function +{T<:Number}(p::Poly, c::T)
if length(p) < 1
return Poly([c,], p.var)
else
Expand All @@ -225,7 +232,7 @@ function +(p::Poly, c::Number)
return p2;
end
end
function -{T}(c::Number, p::Poly{T})
function -{T<:Number}(c::T, p::Poly)
if length(p) < 1
return Poly(T[c,], p.var)
else
Expand Down
14 changes: 14 additions & 0 deletions test/runtests.jl
Original file line number Diff line number Diff line change
Expand Up @@ -153,3 +153,17 @@ psum = p1 + p2 - p3
@test truncate(Poly([2,1]),reltol=1/2,abstol=0) == Poly([2])
@test truncate(Poly([2,1]),reltol=1,abstol=0) == Poly([0])
@test truncate(Poly([2,1]),reltol=0,abstol=1) == Poly([2])

## elementwise operations
println("Test for element-wise operations")
p1 = Poly([1, 2])
p2 = Poly([3, 1.])
p = [p1, p2]
q = [3, p1]
@test isa(q,Vector{Poly{Int64}})
psum = p+3
pprod = p*3
pmin = p-3
@test isa(psum, Vector{Poly{Float64}})
@test isa(pprod,Vector{Poly{Float64}})
@test isa(pmin, Vector{Poly{Float64}})