Sorry, I still don't understand...
If the reward is having at the 50% mark, and there is no cap, then what 50% is it of?
The reward will half at block number 100000
(We are currently at block 87430)
Elaboration:
At block number 100000, is aprox. 50 bil Doge mined.
100000 blocks * average of 500000 Doge per reward = 50 bil Doge.
Which is 50% of the original cap at 100 bil doge.