XLPack 7.0
XLPack Numerical Library (Excel VBA) Reference Manual
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◆ Rg()

Function Rg ( X As  Double,
Y As  Double,
Z As  Double,
Optional Info As  Long 
)

Carlson form of elliptic integral RG(x, y, z)

Purpose
Computes the Carlson form of elliptic integral RG(x, y, z).
RG(x, y, z) = (1/4π) * ∫∫√(x sin^2θ cos^2φ + y sin^2θ sin^2φ + z cos^2θ) sinθ dθdφ [θ: 0, π] [φ: 0, 2π]
Returns
Double
Carlson form of elliptic integral RG(x, y, z).
Parameters
[in]XArgument x. (X >= 0)
[in]YArgument y. (Y >= 0)
[in]ZArgument z. (Z >= 0)
[out]Info(Optional)
= 0: Successful exit.
= -1: The argument X had an illegal value. (X < 0)
= -2: The argument Y had an illegal value. (Y < 0)
= -3: The argument Z had an illegal value. (Z < 0)
= 1: Floating point range error.
Reference
boost/math/special_functions