-If two objects @var{obj1} and @var{obj2} are equal, then @code{(sxhash
-@var{obj1})} and @code{(sxhash @var{obj2})} are the same integer.
+If two objects @var{obj1} and @var{obj2} are @code{equal}, then
+@code{(sxhash-equal @var{obj1})} and @code{(sxhash-equal @var{obj2})}
+are the same integer.
+
+If the two objects are not @code{equal}, the values returned by
+@code{sxhash-equal} are usually different, but not always; once in a
+rare while, by luck, you will encounter two distinct-looking objects
+that give the same result from @code{sxhash-equal}.
+
+@b{Common Lisp note:} In Common Lisp a similar function is called
+@code{sxhash}. Emacs provides this name as a compatibility alias for
+@code{sxhash-equal}.
+@end defun
+
+@defun sxhash-eq obj
+This function returns a hash code for Lisp object @var{obj}. Its
+result reflects identity of @var{obj}, but not its contents.
+
+If two objects @var{obj1} and @var{obj2} are @code{eq}, then
+@code{(xhash @var{obj1})} and @code{(xhash @var{obj2})} are the same
+integer.
+@end defun
+
+@defun sxhash-eql obj
+This function returns a hash code for Lisp object @var{obj} suitable
+for @code{eql} comparison. I.e. it reflects identity of @var{obj}
+except for the case where the object is a float number, in which case
+hash code is generated for the value.