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Adjective: undeviating  ,ún'dee-vi,ey-ting
  1. Going directly ahead from one point to another without veering or turning aside
    "some people see evolution as an undeviating upward march from simple organisms to the very complex";
    - unswerving
     
  2. Used of values and principles; not subject to change; steady
    "undeviating loyalty"

See also: dependable, direct, honest, reliable, true