The HAVSIN(x,x0,h0,x1,h1) function defines a haversine function, which makes a smooth transition between two functions.
Arguments
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x
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The independent variable. You can enter a valid expression for the independent variable such as 2*TIME.
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x0
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The value of the independent variable at which the function begins.
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h0
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The value of the function at x0.
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x1
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The value of the independent variable at which the function ends.
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h1
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The value of the function value at x1.
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Function Definition
HAVSIN(x,x0,h0,x1,h1) =
h0
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x ≤ x0
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a + b * sin(c(x)*Π - (Π/2))
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x0 < x < x1
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h1
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x ≥ x1
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where
a = (h1+h0)/2
b = (h1-h0)/2
c(x) = ( x-x0)/ (x1-x0)