Extend handling of unexpected EOF to the backend

In the original issue [1] and commit [2], support for unexpected EOF was
added to the frontend to detect when a connection was closed abruptly.
Additionally, this allows us to differentiate normal io.EOF errors with
unexpected errors in the backend.

[1] https://github.com/jackc/pgx/issues/662/
[2] https://github.com/jackc/pgproto3/commit/595780be0f9f581451a23a5151b77f782202ad72

backend.go

@@ -58,7 +58,7 @@ func (b *Backend) ReceiveStartupMessage() (FrontendMessage, error) {
 
 	buf, err = b.cr.Next(msgSize)
 	if err != nil {
-		return nil, err
+		return nil, translateEOFtoErrUnexpectedEOF(err)
 	}
 
 	code := binary.BigEndian.Uint32(buf)
@@ -98,7 +98,7 @@ func (b *Backend) Receive() (FrontendMessage, error) {
 	if !b.partialMsg {
 		header, err := b.cr.Next(5)
 		if err != nil {
-			return nil, err
+			return nil, translateEOFtoErrUnexpectedEOF(err)
 		}
 
 		b.msgType = header[0]
@@ -152,7 +152,7 @@ func (b *Backend) Receive() (FrontendMessage, error) {
 
 	msgBody, err := b.cr.Next(b.bodyLen)
 	if err != nil {
-		return nil, err
+		return nil, translateEOFtoErrUnexpectedEOF(err)
 	}
 
 	b.partialMsg = false

backend_test.go

@@ -1,9 +1,11 @@
 package pgproto3_test
 
 import (
+	"io"
 	"testing"
 
 	"github.com/jackc/pgproto3/v2"
+	"github.com/stretchr/testify/assert"
 )
 
 func TestBackendReceiveInterrupted(t *testing.T) {
@@ -32,3 +34,23 @@ func TestBackendReceiveInterrupted(t *testing.T) {
 		t.Fatalf("unexpected msg: %v", msg)
 	}
 }
+
+func TestBackendReceiveUnexpectedEOF(t *testing.T) {
+	t.Parallel()
+
+	server := &interruptReader{}
+	server.push([]byte{'Q', 0, 0, 0, 6})
+
+	backend := pgproto3.NewBackend(pgproto3.NewChunkReader(server), nil)
+
+	// Receive regular msg
+	msg, err := backend.Receive()
+	assert.Nil(t, msg)
+	assert.Equal(t, io.ErrUnexpectedEOF, err)
+
+	// Receive FE msg
+	server.push([]byte{'F', 0, 0, 0, 6})
+	msg, err = backend.ReceiveStartupMessage()
+	assert.Nil(t, msg)
+	assert.Equal(t, io.ErrUnexpectedEOF, err)
+}