auto merge of #14579 : alexcrichton/rust/more-eq-renamings, r=thestinger

This completes the last stage of the renaming of the comparison hierarchy of
traits. This change renames TotalEq to Eq and TotalOrd to Ord.

In the future the new Eq/Ord will be filled out with their appropriate methods,
but for now this change is purely a renaming change.

This continues the work of #12517, continuing the work in #14534. This patch accomplishes the final rename of `TotalEq` to `TotalOrd`. I wanted to get this patch landed ASAP so we don't have to deal much with "where did `Eq` and `Ord` go?"

I have yet to do another pruning pass over the compiler to change all usage of `PartialEq` to `Eq` where appropriate. I will do this soon as well.

src/liballoc/owned.rs

@@ -12,7 +12,7 @@
 
 use core::any::{Any, AnyRefExt};
 use core::clone::Clone;
-use core::cmp::{PartialEq, PartialOrd, TotalEq, TotalOrd, Ordering};
+use core::cmp::{PartialEq, PartialOrd, Eq, Ord, Ordering};
 use core::default::Default;
 use core::fmt;
 use core::intrinsics;
@@ -67,11 +67,11 @@ impl<T:PartialOrd> PartialOrd for Box<T> {
     #[inline]
     fn gt(&self, other: &Box<T>) -> bool { *(*self) > *(*other) }
 }
-impl<T: TotalOrd> TotalOrd for Box<T> {
+impl<T: Ord> Ord for Box<T> {
     #[inline]
     fn cmp(&self, other: &Box<T>) -> Ordering { (**self).cmp(*other) }
 }
-impl<T: TotalEq> TotalEq for Box<T> {}
+impl<T: Eq> Eq for Box<T> {}
 
 /// Extension methods for an owning `Any` trait object
 pub trait AnyOwnExt {

src/liballoc/rc.rs

@@ -26,7 +26,7 @@ pointers, and then storing the parent pointers as `Weak` pointers.
 use core::mem::transmute;
 use core::cell::Cell;
 use core::clone::Clone;
-use core::cmp::{PartialEq, PartialOrd, TotalEq, TotalOrd, Ordering};
+use core::cmp::{PartialEq, PartialOrd, Eq, Ord, Ordering};
 use core::kinds::marker;
 use core::ops::{Deref, Drop};
 use core::option::{Option, Some, None};
@@ -157,7 +157,7 @@ impl<T: PartialEq> PartialEq for Rc<T> {
     fn ne(&self, other: &Rc<T>) -> bool { **self != **other }
 }
 
-impl<T: TotalEq> TotalEq for Rc<T> {}
+impl<T: Eq> Eq for Rc<T> {}
 
 impl<T: PartialOrd> PartialOrd for Rc<T> {
     #[inline(always)]
@@ -173,7 +173,7 @@ impl<T: PartialOrd> PartialOrd for Rc<T> {
     fn ge(&self, other: &Rc<T>) -> bool { **self >= **other }
 }
 
-impl<T: TotalOrd> TotalOrd for Rc<T> {
+impl<T: Ord> Ord for Rc<T> {
     #[inline]
     fn cmp(&self, other: &Rc<T>) -> Ordering { (**self).cmp(&**other) }
 }