fix: liberalize rules for atoms by allowing leading '' (#6114)

This PR liberalizes atom rules by allowing `''` to be a prefix of an
atom, after #6012 only added an exception for `''` alone, and also adds
some unit tests for atom validation.

Author: david-christiansen

src/Lean/Elab/Syntax.lean

@@ -236,8 +236,9 @@ where
     -- Pretty-printing instructions shouldn't affect validity
     let s := s.trim
     !s.isEmpty &&
-    (s.front != '\'' || s == "''") &&
+    (s.front != '\'' || "''".isPrefixOf s) &&
     s.front != '\"' &&
+    !(isIdBeginEscape s.front) &&
     !(s.front == '`' && (s.endPos == ⟨1⟩ || isIdFirst (s.get ⟨1⟩) || isIdBeginEscape (s.get ⟨1⟩))) &&
     !s.front.isDigit &&
     !(s.any Char.isWhitespace)

tests/lean/run/atomValidation.lean

@@ -0,0 +1,138 @@
+import Lean.Elab.Command
+import Lean.Elab.Syntax
+
+open Lean.Elab.Term.toParserDescr (isValidAtom)
+open Lean Elab Command
+
+/-!
+Test various classes of atoms that should be allowed or not.
+-/
+
+def test (expected : Bool) (strings : List String) : CommandElabM Unit := Id.run do
+  let mut wrong : List String := []
+  for s in strings do
+    if isValidAtom s != expected then
+      wrong := s :: wrong
+    if isValidAtom (" " ++ s) != expected then
+      wrong := s!"{s} (with leading whitespace)" :: wrong
+    if isValidAtom (s ++ " ") != expected then
+      wrong := s!"{s} (with trailing whitespace)" :: wrong
+    if isValidAtom (" " ++ s ++ " ") != expected then
+      wrong := s!"{s} (with leading and trailing whitespace)" :: wrong
+
+  if wrong.isEmpty then
+    logInfo <| "All " ++ if expected then "accepted" else "rejected"
+  else
+    logError <|
+      s!"The following atoms should be {if expected then "" else "in"}valid but are not:\n" ++
+      String.join (wrong.reverse.map (s! " * {·}\n"))
+
+
+syntax "#test_valid" term : command
+syntax "#test_invalid" term : command
+
+macro_rules
+  | `(#test_valid%$tok $t) => `(#eval%$tok test true $t)
+  | `(#test_invalid%$tok $t) => `(#eval%$tok test false $t)
+
+
+/-!
+# No Empty Atoms
+-/
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid [""]
+
+
+/-!
+# Preventing Character Literal Confusion
+
+Atoms are required to be suitably unlike character literals. This means that if they start with a
+single quote, the next character must also be a single quote.
+
+Two single quotes (and variations on it) has long-term usage as an infix operator in Mathlib.
+-/
+
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["if", "''", "''ᵁ", "if'", "x'y'z", "x''y"]
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["'x'", "'ᵁ", "'c", "'no'", "'"]
+
+
+/-!
+# No Internal Whitespace
+-/
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["open mixed", "open   mixed"]
+
+
+/-!
+# No Confusion with String Literals
+
+Internal double quotes are allowed.
+-/
+
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["what\"string\"is_this?"]
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["\"","\"\"", "\"f\""]
+
+/-!
+# No Confusion with Escaped Identifiers
+
+This doesn't confuse the parser, but it may confuse a user if they can define an atom that can never
+be parsed.
+-/
+
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["prefix«", "prefix«test", "prefix«test»", "prefix«test»foo"]
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["«", "«test", "«test»", "«test»foo"]
+
+
+/-!
+# No Confusion with Name Literals
+
+The first two characters of an atom may not be a valid start of a name literal
+-/
+
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["``", "`!", "x`"]
+
+/-!
+The next set all begin with U0x2035, REVERSED PRIME, rather than back-tick, and are thus accepted.
+-/
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["‵", "‵x", "‵«", "‵xyz", "‵«x.y", "‵«x.y.z»"]
+
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["`", "`x", "`«", "`xyz", "`«x.y", "`«x.y.z»"]
+
+
+/-!
+# No Leading Digits
+-/
+
+/-- info: All accepted -/
+#guard_msgs in
+#test_valid ["prefix5", "prefix22test", "prefix1test0", "prefix8test8foo"]
+
+/-- info: All rejected -/
+#guard_msgs in
+#test_invalid ["0", "1test", "0test3"]