If any cyclist cannot refrain from urinating on a long ride, they'll just stop and pee. If they wish to remain on the bike, a rider can just "wet his pants" while riding. Certainly a rider will be uncomfortable through the rest of a ride if he selects this option. This isn't a problem that requires a lot of thought, as there are only two choices. Cyclists are dehydrating while riding, and even though they drink and ride, they usually don't have to pee as they are losing so much water through sweat and through respiration. Competitive riders going distances don't stop and pee because they don't have to.
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Male riders have the choice of moving to the outside of the pack, preferably during a mild descent, pulling the pants down at the front and letting go. How female rides do I have no idea. Riders with black clothes do have the opportunity of simply wetting themselves, as it won't show up. If it's a rainy day I suppose quite a few would consider that option.