Remove start_index from sorting

src/operation_transformation/edited_text.rs

@@ -123,7 +123,11 @@ where
             let (side, OrderedOperation { operation, order }, maybe_other_operation) =
                 match (maybe_left_op.clone(), maybe_right_op.clone()) {
                     (Some(left_op), Some(right_op)) => {
-                        if left_op < right_op {
+                        if left_op
+                            .get_sort_key(seen_left_length)
+                            .partial_cmp(&right_op.get_sort_key(seen_right_length))
+                            == Some(std::cmp::Ordering::Less)
+                        {
                             (Side::Left, left_op, maybe_right_op.clone())
                         } else {
                             (Side::Right, right_op, maybe_left_op.clone())

src/operation_transformation/ordered_operation.rs

@@ -17,7 +17,7 @@ impl<T> OrderedOperation<T>
 where
     T: PartialEq + Clone + std::fmt::Debug,
 {
-    pub fn get_sort_key(&self) -> (usize, usize, usize, String) {
+    pub fn get_sort_key(&self, insertion_index: usize) -> (usize, usize, usize, String) {
         (
             self.order,
             match &self.operation {
@@ -25,7 +25,7 @@ where
                 Operation::Insert { .. } => 2,
                 Operation::Equal { .. } => 3,
             },
-            self.operation.start_index(),
+            insertion_index,
             // Make sure that the ordering is deterministic regardless of which text
             // is left or right.
             match &self.operation {
@@ -41,12 +41,3 @@ where
         )
     }
 }
-
-impl<T> PartialOrd for OrderedOperation<T>
-where
-    T: PartialEq + Clone + std::fmt::Debug,
-{
-    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
-        self.get_sort_key().partial_cmp(&other.get_sort_key())
-    }
-}