When is it safe to disable InnoDB doublewrite buffering?

MySQL InnoDB allows us to disable doublewrite buffering by setting innodb_doublewrite = 0 . Other databases doesn't seem to allow this setting to be tweaked . How could InnoDB still be able to maintain **data integrity** and ACID if we disable doublewrite buffering? In what situations will it be **safe** to turn off InnoDB doublewrite buffer?