Migrate tests from DynamicPolynomials

Author: blegat

test/ncmonomial.jl

@@ -24,6 +24,10 @@
             @test collect(exponents(Y)) == [2]
         end
     end
+    @testset "Issue #71 of DynamicPolynomials" begin
+        Mod.@ncpolyvar x y
+        @test x^0 * y == y * x^0
+    end
 end
 @testset "Non-commutative MonomialVector" begin
     Mod.@ncpolyvar x y

test/ncoperators.jl

@@ -43,3 +43,10 @@
     @test q isa AbstractPolynomialLike{Float64}
     @test q == 0
 end
+@testset "Noncommutative quadratic" begin
+    Mod.@ncpolyvar x[1:2]
+    Q = Hermitian([1 2 + 3im; 2 - 3im 4])
+    p = 1x[1]^2 + (2 + 3im) * x[1] * x[2] + (2 - 3im) * x[2] * x[1] + 4x[2]^2
+    @test polynomial(Q, x) == p
+    @test polynomial(Q, monovec(x)) == p
+end

test/substitution.jl

@@ -67,4 +67,14 @@ import Test: @inferred
 
     Mod.@polyvar x y
     @test subs([x^2 + y, x + y], x => y) == [y^2+y, 2y]
+
+    @testset "Subs with no variables" begin
+        Mod.@polyvar x
+        t = convert(termtype(x, Int), 3)
+        @test t == @inferred subs(t, x => x + 1)
+        @test t == @inferred subs(t, x => x + 1.0)
+        @test t == @inferred subs(t, x => 1x)
+        @test t == @inferred subs(t, x => 1.0x)
+        @test t == @inferred subs(t, x => 1.0)
+    end
 end