We present a library of 0.5 - 2.5 mum digital spectra of cool, mostly varia
ble, giant and supergiant stars which should be useful for spectral synthes
is applications, as well as for comparison with theoretical model atmospher
e calculations. The library includes carbon stars. Galactic Bulge and Magel
lanic Cloud stars, and OH/IR stars.
The stars observed cover a range of metallicities and masses. Most variable
objects were observed several times, at different phases of their pulsatio
n cycle. We discuss the effects of various fundamental parameters and of va
riability on the spectra. Based on period-luminosity relations and stellar
evolutionary tracks, we tentatively assign initial masses to each object.