Note that the inner energy neglects the pressure dependence, which is only true for an incompressible medium with d = constant. The neglected term is p-reference_p)/rho*(T/rho)*(partial rho /partial T). This is very small for liquids due to proportionality to 1/d^2, but can be problematic for gases that are modeled incompressible.
It should be noted that incompressible media only have 1 state per control volume (usually T), but have both T and p as inputs for fully correct properties. The error of using only T-dependent properties is small, therefore a Boolean flag enthalpyOfT exists. If it is true, the enumeration Choices.IndependentVariables is set to Choices.IndependentVariables.T otherwise it is set to Choices.IndependentVariables.pT.
Enthalpy is never a function of T only (h = h(T) + (p-reference_p)/d), but the error is also small and non-linear systems can be avoided. In particular, non-linear systems are small and local as opposed to large and over all volumes.
Entropy is calculated as
s = s0 + integral(Cp(T)/T,dt)
which is only exactly true for a fluid with constant density d=d0.