Index: Objects/fileobject.c
===================================================================
--- Objects/fileobject.c	(revision 67917)
+++ Objects/fileobject.c	(working copy)
@@ -2515,12 +2515,21 @@
 			return NULL;
 		}
 		univ_newline = ((PyFileObject *)fobj)->f_univ_newline;
-		if ( !univ_newline )
+		if ( !univ_newline ) {
+			/* Issue #1706039: Support continued reading from a file even after
+			 * EOF was hit.
+			 */
+			clearerr(stream);
 			return fgets(buf, n, stream);
+		}
 		newlinetypes = ((PyFileObject *)fobj)->f_newlinetypes;
 		skipnextlf = ((PyFileObject *)fobj)->f_skipnextlf;
 	}
 	FLOCKFILE(stream);
+	/* Issue #1706039: Support continued reading from a file even after
+	 * EOF was hit.
+	 */
+	clearerr(stream);
 	c = 'x'; /* Shut up gcc warning */
 	while (--n > 0 && (c = GETC(stream)) != EOF ) {
 		if (skipnextlf ) {
@@ -2603,6 +2612,10 @@
 		errno = ENXIO;	/* What can you do... */
 		return 0;
 	}
+	/* Issue #1706039: Support continued reading from a file even after
+	 * EOF was hit.
+	 */
+	clearerr(stream);
 	if (!f->f_univ_newline)
 		return fread(buf, 1, n, stream);
 	newlinetypes = f->f_newlinetypes;
Index: Lib/test/test_file.py
===================================================================
--- Lib/test/test_file.py	(revision 67917)
+++ Lib/test/test_file.py	(working copy)
@@ -547,7 +547,48 @@
         finally:
             sys.stdout = save_stdout
 
+    def testReadAfterEOF(self):
+        # Verify read works after hitting EOF
 
+        # Prepare the testfile
+        teststring = "spam"
+        bag = open(TESTFN, "w")
+        bag.write(teststring)
+        bag.close()
+
+        # And buf for readinto
+        buf = array("c", " "*len(teststring))
+
+        # Test for appropriate errors mixing read* and iteration
+        methods = [("readline", ()), ("read",()), ("readlines", ()),
+                   ("readinto", (buf,))]
+
+        for attr in 'r', 'rU':
+            for methodname, args in methods:
+                f = open(TESTFN, "rU")
+                f.seek(0, 2)
+                meth = getattr(f, methodname)
+                meth(*args) # hits EOF
+                try:
+                    # Writing the same file with another file descriptor
+                    append = open(TESTFN, "a+")
+                    append.write(teststring)
+                    append.flush()
+                    append.close()
+                    try:
+                        meth = getattr(f, methodname)
+                        if methodname == 'readlines':
+                            self.failUnlessEqual(meth(*args), [teststring])
+                        elif methodname == 'readinto':
+                            meth(*args)
+                            self.failUnlessEqual(buf.tostring(), teststring)
+                        else:
+                            self.failUnlessEqual(meth(*args), teststring)
+                    except ValueError:
+                            self.fail("read* failed after hitting EOF")
+                finally:
+                    f.close()
+
 def test_main():
     # Historically, these tests have been sloppy about removing TESTFN.
     # So get rid of it no matter what.