tie direction problems

[Nick Didkovsky]

Hello

Here's one measure of music with two voices on the same staff. Top voice 
has some notes that are tied. Bottom voice is an invisible rest.
The stems on the notes are all going up. This is good.
The ties are upside down however (frowns instead of smiles). This is bad.
What am I doing wrong?

Thanks
Nick Didkovsky

// STAFF CONTENTS
\version "2.10.0"
% Created by: Java Music Specification Language, BUILD 20090919
% Creation date: Tue Sep 29 08:40:07 EDT 2009
% JMSL to LilyPond converter by Nick Didkovsky, (c) 2006 Nick Didkovsky
% visit www.algomusic.com and www.lilypond.org

% Staff 1

"TieWrongDirStaffAA" = {
\override Score.RehearsalMark #'font-size = #-1
\override Score.VoltaBracket #'font-name = #"New Century Schoolbook"
\override Score.VoltaBracket #'font-shape = #'bold
\override Score.VoltaBracket #'font-size = #+1

% Measure 1
\override Score.MetronomeMark #'padding = #4.5
\tempo 4=60
\key c \major

\override Staff.TimeSignature #'style = #'()

\time 4/4

\clef treble
<<  {

c''4
c''4~\noBeam
c''16\noBeam [
c''16
c''16
c''16~  ]
c''4\noBeam
}
\\
{
\blanknotes
r1  \unblanknotes

}
>>

}


// THE FILE THAT LOADS THE STAFF CONTENTS

\version "2.10.0"
% Created by: Java Music Specification Language, BUILD 20090919
% Creation date: Tue Sep 29 08:40:07 EDT 2009
% JMSL to LilyPond converter by Nick Didkovsky, (c) 2006 Nick Didkovsky
% visit www.algomusic.com and www.lilypond.org
blanknotes = { \override NoteHead  #'transparent = ##t
    \override Stem  #'transparent = ##t
    \override Rest  #'transparent = ##t }
unblanknotes = { \revert NoteHead #'transparent
    \revert Stem #'transparent
    \revert Rest #'transparent }
blankstems = { \override Stem  #'transparent = ##t }
unblankstems = { \revert Stem #'transparent }
\include "TieWrongDirStaffAA.ly"
\header {
   title = "Untitled-1"
   composer = "Nick"
   copyright = "(c) 2009, Nick"
   instrument = "ins-0"
   tagline = "Untitled-1 (ins-0)"
}
\paper {
   between-system-space = 1.5\cm
   between-system-padding = #1
   ragged-bottom=##f
   ragged-last-bottom=##f
   oddFooterMarkup = \markup {
       \column {
       \fill-line {
           %% Copyright header field only on first page.
           \on-the-fly #first-page \fromproperty #'header:copyright
       }
       \fill-line {
           %% tagline header field on all but first page.
           \on-the-fly #not-first-page \fromproperty #'header:tagline
           }
       }
   }
}
{
\override Score.TupletNumber #'X-extent = #'(0 . 0)
\removeWithTag #'score
<<
   \new Staff \TieWrongDirStaffAA
>>

}