===== Transformation: Tapering along z-axis =====
**Definition**: inverse mapping\\
z1<= z <= z2\\
t = (z-z1)/(z2-z1)\\
scale = (1-t)*s1 + t*s2\\
x'=x/scale\\
y'=y/scale\\
z < z1 scale = s1\\
z > z2 scale = s2\\

**Call**: hfTaperZ(xt,z1,z2,s1,s2);

**Parameters**:

 xt - point coordinates array to be changed

z1, z2 - end points of z-interval, z2 > z1

s1, s2 - scaling factors for end points

**Test file**: [[http://hyperfun.org/taper.hf|taper.hf]]

===== Transformation: Tapering along x-axis =====
**Definition**: inverse mapping\\
x1 <= x <= x2\\
t = (x-x1)/(x2-x1)\\
scale = (1-t)*s1 + t*s2\\
y'=y/scale\\
z'=z/scale\\
x < x1 scale = s1\\
x > x2 scale = s2\\

**Call**: hfTaperX(xt,x1,x2,s1,s2);

**Parameters**:

xt - point coordinates array to be changed

x1, x2 - end points of x-interval, x2 > x1

s1, s2 - scaling factors for end points

**Test file**: [[http://hyperfun.org/taper.hf|taper.hf]]

===== Transformation: Tapering along y-axis =====
**Definition**: inverse mapping\\
y1 <= y <= y2\\
t = (y-y1)/(y2-y1)\\
scale = (1-t)*s1 + t*s2\\
z'=z/scale\\
x'=x/scale\\
y < y1 scale = s1\\
y > y2 scale = s2\\

**Call**: hfTaperY(xt,y1,y2,s1,s2);

**Parameters**:

xt - point coordinates array to be changed

y1, y2 - end points of y-interval, y2 > y1

s1, s2 - scaling factors for end points

**Test file**: [[http://hyperfun.org/taper.hf|taper.hf]]