Freya's Hermite Monotonic curve

Test.hx

function main() {
  trace("Freya Hermite Monotonic curve");
  var w = 0.5;
  var x = 0.;
  for( x10 in 0...10 ){
		x = x10/10;
    trace( x + ' : ' + cubicMidpointEaseInOut( x, w ) );
  }
  trace( 1. + ' : ' + cubicMidpointEaseInOut( 1., w ) );
}
inline
function cubicMidpointEaseInOut( x: Float, w: Float ){
	final s = 3*( ( w < 0.5 )? w: 1 - w );
  return if( x <= 0.5 ){
		hermiteEval( 0, 0, w, s, 2*x );
  } else {
		hermiteEval( w, s, 1, 0, 2*x - 1 );
  }
}
inline 
function hermiteEval( p0: Float, v0: Float
                    , p1: Float, v1: Float, x: Float ){
	final x2 = x*x;
  final x3 = x2*x;
  return x3*(  2*p0 +   v0 - 2*p1 + v1 ) 
       + x2*( -3*p0 - 2*v0 + 3*p1 - v1 )
       + x*v0
       + p0;
}