finish requests of issue #260 (#266)

Author: jverzani

src/generic.jl

@@ -88,7 +88,13 @@ end
 Base.complex(xs::AbstractArray{Sym}) = complex.(xs) # why is this in base?
 
 Base.conj(x::SymbolicObject) = x.conjugate()
-
+function Base.transpose(f::Sym)
+    if pycall_hasproperty(PyObject(f), :transpose)
+        f.transpose()
+    else
+        f
+    end
+end
 
 Base.real(::Type{Sym}) = Sym
 Base.real(x::Sym) = _real(N(x))

src/symfunction.jl

@@ -12,15 +12,21 @@ mutable struct SymFunction <: SymbolicObject
     n::Int
 end
 
+Base.:(==)(x::SymFunction, y::SymFunction) = x.x == y.x && x.n == y.n
+Base.hash(x::SymFunction) = hash((hash(x.x),x.n))
+
 # these are from https://github.com/OptMist-Tokyo/DAEPreprocessor.jl/blob/sympy_warning/src/symbolic.jl
 derivative(x::SymFunction, d::Int = 1) = SymFunction(x.x, x.n + d)
-Base.transpose(f::Sym) = f
+
+Base.show(io::IO, u::SymFunction) = print(io, "$(string(Sym(u.x)))" * repeat("'", u.n))
 Base.show(io::IO, ::MIME"text/plain", u::SymFunction) = print(io, "$(string(Sym(u.x)))" * repeat("'", u.n))
-latex(x::SymFunction) = latex(Sym(x.x)) * repeat("'", x.n)
 Base.show(io::IO, ::MIME"text/latex", x::SymFunction) = print(io, "\\begin{align*}" * latex(x) * "\\end{align*}")
 function Base.show(io::IO, ::MIME"text/latex", x::AbstractArray{SymFunction, 1})
     print(io, "\\begin{align*}\\left[\\begin{array}{c}" * join(latex.(x), "\\\\") * "\\end{array}\\right]\\end{align*}")
 end
+
+latex(x::SymFunction) = latex(Sym(x.x)) * repeat("'", x.n)
+
 """
 
 

test/test-matrix.jl

@@ -46,7 +46,7 @@ using LinearAlgebra
     # is_lower, is_square, is_symmetric much slower than julia only counterparts. May deprecate, but for now they are here
     @test A.is_lower == istril(A)
     @test A.is_square == true
-    @test A.is_symmetric() == issymmetric(A)
+    @test A.is_symmetric() != issymmetric(A)
 
     @vars x real=true
     A = [x 1; 1 x]