GHAVERSIN

Purpose:

Generates a haversin series in accordance with the specified parameters.

GHAVERSIN(length, spacing, frequency, phase)

length	-	An integer, the length of the output series.
spacing	-	A real, the spacing (delta x) between each point on the x-axis.
frequency	-	Optional. A real, the frequency specified in cycles per second (Hertz). Defaults to 1.
phase	-	Optional. A real, the phase specified in radians. Defaults to 0.

A series.

W1: ghaversin(1000, 1/1000)

Generates 1000 samples of a 1 Hz haversin sampled at 1000 Hz.

W2: ghaversin(1000, 1/1000, 2.0, pi/3)

Same as above except the frequency is 2 Hz and the phase is π/3 radians.

The haversin function is defined as:

The formula used to generate y[n] for n = 1 to N is:

y[n] = 0.5 • (1 - cos(2π • frequency • spacing • (n-1) + phase))

[1]	C. C. Robusto
	The Cosine-Haversine Formula
	The American Mathematical Monthly, 64(1), 1957
	pp 38-40