Functions to correct mapping procedures
A little bit more at first, but then a little bit less:
plot 0:1 1-x, (1-x) - ( (1-x) - (cos(x*pi/2)**2)**(.9) )/2
- The correction can be enhanced by changing the last factor (2)
plot 0:1 1-x, (1-x) - ( (1-x) - (cos(x*pi/2)**2)**(.9) )/1
- The changing point can be tunned by the exponent (.9)
plot 0:1 1-x, (1-x) - ( (1-x) - (cos(x*pi/2)**2)**(1.1) )/2