*TMZ says it has sources who claim Gabriel Aubry has called Halle Berry the N-word before and “routinely demeaned her with other vulgarities.”

The website reports…

We’re told … in addition to calling her the N-word, he would also call her a “f**king bitch” and other expletives.  And the vulgarities are not limited to face-to-face confrontations.  There are vulgar text messages as well.

As one source told TMZ, “He constantly demeaned her.  It was awful.”