https://en.wikipedia.org/wiki/.32_S&W_Long
If you search this forum you'll find the same thing I wrote, in more detail.
The Colt company referred to the .32 S&W Long cartridge as the .32 "Colt's New Police" cartridge, concurrent with the conversion of the Colt New Police revolver from .32 Long Colt. The cartridges are functionally identical with the exception that the .32 NP cartridge has been historically loaded with a flat nosed bullet as opposed to the round nose of the .32 S&W Long.[3]
If you search this forum you'll find the same thing I wrote, in more detail.