[3.13] gh-138775: fix handle python -m base64 stdin correct with EOF signal (GH-138776) (#141433)

gh-138775: fix handle `python -m base64` stdin correct with EOF signal (GH-138776)

* fix: handle  stdin correct with EOF single.
* fix: flollow the comments when pipe stdin use buffer
* Apply suggestions from code review
* fix: apply review comments in Lib/base64.py
* fix: address comments
* Reword comment and NEWS entry.

---------
(cherry picked from commit f5c2a41f9a)

Signed-off-by: yihong0618 <zouzou0208@gmail.com>
Co-authored-by: yihong <zouzou0208@gmail.com>
Co-authored-by: Bénédikt Tran <10796600+picnixz@users.noreply.github.com>
Co-authored-by: Peter Bierma <zintensitydev@gmail.com>
Co-authored-by: Gregory P. Smith <greg@krypto.org>

Lib/base64.py

@@ -607,7 +607,14 @@ def main():
         with open(args[0], 'rb') as f:
             func(f, sys.stdout.buffer)
     else:
-        func(sys.stdin.buffer, sys.stdout.buffer)
+        if sys.stdin.isatty():
+            # gh-138775: read terminal input data all at once to detect EOF
+            import io
+            data = sys.stdin.buffer.read()
+            buffer = io.BytesIO(data)
+        else:
+            buffer = sys.stdin.buffer
+        func(buffer, sys.stdout.buffer)
 
 
 if __name__ == '__main__':