test cases for arrows from define-local-member-name

related to racket/racket#4650

drracket-tool-test/tests/check-syntax/syncheck-direct.rkt

@@ -520,6 +520,43 @@
   '((66 77) (92 95)) ;; sketchy; should we eliminate?
   '((85 88) (92 95))))
 
+(check-equal?
+ (for/set ([e (in-set
+               (get-binding-arrows
+                (string-append
+                 "(module m racket\n"
+                 "  (define-local-member-name the-method-name)\n"
+                 "  (class object% (define/public (the-method-name x) 0))\n"
+                 "  (send #f the-method-name))\n")))]
+           ;; filter out arrows that don't start on `the-method-name`
+           #:when (equal? '(45 60) (car e)))
+   e)
+ (set
+  '((45 60) (129 144))
+  '((45 60) (95 110))))
+
+(check-equal?
+ (for/set ([e (in-set
+               (get-binding-arrows
+                (string-append
+                 "(module m racket\n"
+                 "  (define-local-member-name the-method-name)\n"
+                 "  (class object%\n"
+                 "    (define/public (the-method-name n)\n"
+                 "      (unless (zero? n)\n"
+                 "        (if (even? n)\n"
+                 "            (send this the-method-name (- n 1))\n"
+                 "            (the-method-name (- n 1)))))))\n")))]
+           ;; filter out arrows that don't start on the
+           ;; `the-method-name` that appears inside
+           ;; `define-local-member-name`
+           #:when (equal? '(45 60) (car e)))
+   e)
+ (set
+  '((45 60) (99 114))
+  '((45 60) (187 202))
+  '((45 60) (225 240))))
+
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