the father shall be given notice of the adoption proceeding and have the rights provided under chapter 578, unless the father's relationship to the child has been previously terminated or determined by a court not to exist.
or if a child otherwise becomes the subject of an adoption proceeding, the court shall determine whether the natural father has exercised parental duties, obligations, and concern for the child in accordance with subsection (c); provided that if the proposed adoptive parent is the spouse of the child's mother, no notice is required to be given to a father who does not fall within the provisions of subsection (a).
HRS § 584-24