It’s illegal to have large knives in Texas too like our famous Bowie Knives, unless you are engaged in an activity, in this case diving, a sporting activity, where such a knife would be considered appropriate. 
But, yeah to just walk down the street with a double edged dive knife would be a no-no. Used while going to and from a dive site or at a dive site, totally legal in Texas. See below......
Texas - Health, Safety & Morals - 46.02. Unlawful carrying
 weapons. (a) A person commits an offense if intentionally,
 knowingly , or recklessly carries on or about his person a
 handgun, illegal knife, or club. [Exceptions: official;
 actor was own premises; was traveling; engaged in lawful
 hunting, fishing, or other sporting activity; security
 guard].
- 46.01. Definitions. (1) "Club"... includes... (D)
 Tomahawk...
(6) "Illegal knife" means a:
 (A) knife with a blade over five and one-half inches;
 (B) hand instrument designed to cut or stab another by
 being thrown;
 (C) dagger, including but not limited to a dirk, stiletto,
 and poniard;
 (D) sword; or
 (E) spear.
(7) "Knife" means any bladed hand instrument that is capable
 of inflicting serious bodily injury or death by cutting or
 stabbing a person with the instrument.