first batch of tests

test/runtests.jl

@@ -1,5 +1,78 @@
-using GroupAlgebras
+using GroupRings
 using Base.Test
 
+using Nemo
+
 # write your own tests here
-@test 1 == 2
+@testset "GroupRing constructors: PermutationGroup" begin
+   G = PermutationGroup(3)
+
+   @test isa(GroupRing(G), Nemo.Ring)
+   @test isa(GroupRing(G), GroupRing)
+
+   RG = GroupRing(G)
+   @test isdefined(RG, :pm) == false
+   @test isdefined(RG, :basis) == false
+   @test isdefined(RG, :basis_dict) == false
+
+   @test isa(complete(RG), GroupRing)
+   @test size(RG.pm) == (6,6)
+   @test length(RG.basis) == 6
+
+   @test RG.basis_dict == GroupRings.reverse_dict(elements(G))
+
+   @test isa(GroupRing(G, collect(elements(G))), GroupRing)
+   S = collect(elements(G))
+   pm = create_pm(S)
+   @test isa(GroupRing(G, S), GroupRing)
+   @test isa(GroupRing(G, S, pm), GroupRing)
+
+   A = GroupRing(G, S)
+   B = GroupRing(G, S, pm)
+
+   @test RG == A
+   @test RG == B
+end
+
+@testset "GroupRing constructors FreeGroup" begin
+   using Groups
+   F = FreeGroup(3)
+   S = generators(F)
+   append!(S, [inv(s) for s in S])
+   S = unique(S)
+
+   basis, sizes = Groups.generate_balls(S, F(), radius=4)
+   d = GroupRings.reverse_dict(basis)
+   @test_throws KeyError create_pm(basis)
+   pm = create_pm(basis, d, sizes[2])
+
+   @test isa(GroupRing(F, basis, pm), GroupRing)
+   @test isa(GroupRing(F, basis, d, pm), GroupRing)
+
+   A = GroupRing(F, basis, pm)
+   B = GroupRing(F, basis, d, pm)
+   @test A == B
+
+end
+
+@testset "GroupRingElems constructors/basic manipulation" begin
+   G = PermutationGroup(3)
+   RG = GroupRing(G, full=true)
+   a = rand(6)
+   @test isa(GroupRingElem(a, RG), GroupRingElem)
+   @test isa(RG(a), GroupRingElem)
+   @test_throws String GroupRingElem([1,2,3], RG)
+   @test isa(RG(G([2,3,1])), GroupRingElem)
+   p = G([2,3,1])
+   a = RG(p)
+   @test length(a) == 6
+   @test isa(a.coeffs, SparseVector)
+
+   @test a.coeffs[5] == 1
+   @test a[5] == 1
+   @test RG([0,0,0,0,1,0]) == a
+   @test a[p] == 1
+   @test a[G([1,2,3])] == 0
+
+   @test string(a) == "1*[2, 3, 1]"
+end