This question is killing me! federal employees and state taxes?

okay living in washington state and working as a federal employee in California. If i maintain my being a washington state citizen and work for the feds in san fran because the cost of living adjustment in san fran working for the feds is 61% of the base pay( 80 grand equals 120 grand with the 61% adjustment in San Francisco. Do i have to pay california income tax as a federal employee while maintaining a washington state residency? I understood I was say from oregon I would pay the state taxes to oregon and not california