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Weapon Focus (Combat)
Choose one type of weapon. You can also choose unarmed strike or grapple (or ray, if you are a spellcaster) as your weapon for the purposes of this feat.
Prerequisites: Proficiency with selected weapon, base attack bonus +1.
Benefit: You gain a +1 bonus on all attack rolls you make using the selected weapon.
Special: You can gain this feat multiple times. Its effects do not stack. Each time you take the feat, it applies to a new type of weapon.
So, apparently like everyone else, I've always assumed that "type of weapon" meant "Longsword" or "Dire Flail" or "Hunga-Munga" or whatever.
However, this is Pathfinder, and we shouldn't assume that what "everyone knows" from 3.0 and 3.5 is still valid. And, as far as I can tell, the only definition of "Weapon Type" or "type of Weapon" in the rules is in the "Equipment - Weapons" section:
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Type: Weapons are classified according to the type of damage they deal: B for bludgeoning, P for piercing, or S for slashing. Some monsters may be resistant or immune to attacks from certain types of weapons.
Some weapons deal damage of multiple types. If a weapon causes two types of damage, the type it deals is not half one type and half another; all damage caused is of both types. Therefore, a creature would have to be immune to both types of damage to ignore any of the damage caused by such a weapon.
In other cases, a weapon can deal either of two types of damage. In a situation where the damage type is significant, the wielder can choose which type of damage to deal with such a weapon.
So, RAW, can you take Weapon Focus/Specialization for "type" B, or P, or S? RAI, almost certainly not. But as written...