lib: implement `compare`, `splitByAndCompare`, and `compareLists`

lib/default.nix

···
       replaceStrings seq stringLength sub substring tail;
     inherit (trivial) id const concat or and boolToString mergeAttrs
       flip mapNullable inNixShell min max importJSON warn info
-      nixpkgsVersion mod functionArgs setFunctionArgs isFunction;
+      nixpkgsVersion mod compare splitByAndCompare
+      functionArgs setFunctionArgs isFunction;
 
     inherit (fixedPoints) fix fix' extends composeExtensions
       makeExtensible makeExtensibleWithCustomName;
···
     inherit (lists) singleton foldr fold foldl foldl' imap0 imap1
       concatMap flatten remove findSingle findFirst any all count
       optional optionals toList range partition zipListsWith zipLists
-      reverseList listDfs toposort sort take drop sublist last init
-      crossLists unique intersectLists subtractLists
+      reverseList listDfs toposort sort compareLists take drop sublist
+      last init crossLists unique intersectLists subtractLists
       mutuallyExclusive;
     inherit (strings) concatStrings concatMapStrings concatImapStrings
       intersperse concatStringsSep concatMapStringsSep

lib/lists.nix

···
       if len < 2 then list
       else (sort strictLess pivot.left) ++  [ first ] ++  (sort strictLess pivot.right));
 
+  /* Compare two lists element-by-element.
+
+     Example:
+       compareLists compare [] []
+       => 0
+       compareLists compare [] [ "a" ]
+       => -1
+       compareLists compare [ "a" ] []
+       => 1
+       compareLists compare [ "a" "b" ] [ "a" "c" ]
+       => 1
+  */
+  compareLists = cmp: a: b:
+    if a == []
+    then if b == []
+         then 0
+         else -1
+    else if b == []
+         then 1
+         else let rel = cmp (head a) (head b); in
+              if rel == 0
+              then compareLists cmp (tail a) (tail b)
+              else rel;
+
   /* Return the first (at most) N elements of a list.
 
      Example:

lib/trivial.nix

···
   */
   mod = base: int: base - (int * (builtins.div base int));
 
+  /* C-style comparisons
+
+     a < b,  compare a b => -1
+     a == b, compare a b => 0
+     a > b,  compare a b => 1
+  */
+  compare = a: b:
+    if a < b
+    then -1
+    else if a > b
+         then 1
+         else 0;
+
+  /* Split type into two subtypes by predicate `p`, take all elements
+     of the first subtype to be less than all the elements of the
+     second subtype, compare elements of a single subtype with `yes`
+     and `no` respectively.
+
+     Example:
+
+       let cmp = splitByAndCompare (hasPrefix "foo") compare compare; in
+
+       cmp "a" "z" => -1
+       cmp "fooa" "fooz" => -1
+
+       cmp "f" "a" => 1
+       cmp "fooa" "a" => -1
+       # while
+       compare "fooa" "a" => 1
+
+  */
+  splitByAndCompare = p: yes: no: a: b:
+    if p a
+    then if p b then yes a b else -1
+    else if p b then 1 else no a b;
+
   /* Reads a JSON file. */
   importJSON = path:
     builtins.fromJSON (builtins.readFile path);