Is Matlab 'phase command' unwrapped?

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When I lookfor phase the result is

phase Computes the phase of a complex vector PHI=phase(G)

G is a complex-valued row vector and PHI is returned as its
phase (in radians), with an effort made to keep it continuous
over the pi-borders.

This implies that the output of the method is unwrapped but if I try unwrap(phase(PHI)), the output becomes different. Why is that? Does not phase already return unwrapped phase?

Note: phase is in the System Identification Toolbox The phasecommand is not found in the MATLAB Documentation. Just shows up with lookfor phase

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