The S-type bars are apparently around 8 cm lower than the m-type and the M bar has around 16cm of rise. So the S stem must be 8 cm higher than the M stem. Add a riser bar and you'd have a little control over reach too.
The only way I could see a solution with the M or P stem would be in conjunction with something akin to Dahon's Andros stem, unless a different handlebar with around 12 cm rise is available.