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Let's make something clear: you can't have constant voltage and constant current regulator - that means constant load ..
What you can have is a very stable voltage regulator with current limit ..
Some people still use the old 723 voltage regulator as a very good voltage reference that can, if required, have implemented current limit .. see the uA723 or LM723 data sheet for more details .. http://www.ortodoxism.ro/datasheets/texasinstruments/ua723.pdf