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HAVSIN

The HAVSIN(x,x0,h0,x1,h1) function defines a haversine function, which makes a smooth transition between two functions.

Format

HAVSIN(x,x0,h0,x1,h1)

Arguments

x

The independent variable.

You can enter a valid expression for the independent variable such as 2*TIME.

x0

The value of the independent variable at which the function begins.

h0

The value of the function at x0.

x1

The value of the independent variable at which the function ends.

h1

The value of the function value at x1.

Function Definition

HAVSIN(x,x0,h0,x1,h1) = 
     h0
 
x ≤ x0
 
     a + b * sin(c(x)*Π - (Π/2))
 
x0 < x < x1
 
     h1
 
x ≥ x1
where
     a = (h1+h0)/2
     b = (h1-h0)/2
     c(x) = ( x-x0)/ (x1-x0)


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