Public Enum EErrorMath
eeBaseMath = 13520 ' Math
End Enum

' Derived math functions from language reference Appendix D

' Secant
Function Sec(x As Double) As Double
Sec = 1 / Cos(x)
End Function

' Cosecant
Function CoSec(x As Double) As Double
CoSec = 1 / Sin(x)
End Function

' Cotangent
Function CoTan(x As Double) As Double
CoTan = 1 / Tan(x)
End Function

' Inverse Sine
Function ArcSin(x As Double) As Double
ArcSin = Atn(x / Sqr(-x * x + 1))
End Function

' Inverse Cosine
Function ArcCos(x As Double) As Double
ArcCos = Atn(-x / Sqr(-x * x + 1)) + 2 * Atn(1)
End Function

' Inverse Secant
Function ArcSec(x As Double) As Double
ArcSec = Atn(x / Sqr(x * x - 1)) + Sgn(x - 1) * (2 * Atn(1))
End Function

' Inverse Cosecant
Function ArcCoSec(x As Double) As Double
ArcCoSec = Atn(x / Sqr(x * x - 1)) + (Sgn(x) - 1) * (2 * Atn(1))
End Function

' Inverse Cotangent
Function ArcCoTan(x As Double) As Double
ArcCoTan = Atn(x) + 2 * Atn(1)
End Function

' Hyperbolic Sine
Function HSin(x As Double) As Double
HSin = (Exp(x) - Exp(-x)) / 2
End Function

' Hyperbolic Cosine
Function HCos(x As Double) As Double
HCos = (Exp(x) + Exp(-x)) / 2
End Function

' Hyperbolic Tangent
Function HTan(x As Double) As Double
HTan = (Exp(x) - Exp(-x)) / (Exp(x) + Exp(-x))
End Function

' Hyperbolic Secant
Function HSec(x As Double) As Double
HSec = 2 / (Exp(x) + Exp(-x))
End Function

' Hyperbolic Cosecant
Function HCoSec(x As Double) As Double
HCoSec = 2 / (Exp(x) - Exp(-x))
End Function

' Hyperbolic Cotangent
Function HCotan(x As Double) As Double
HCotan = (Exp(x) + Exp(-x)) / (Exp(x) - Exp(-x))
End Function

' Inverse Hyperbolic Sine
Function HArcSin(x As Double) As Double
HArcSin = Log(x + Sqr(x * x + 1))
End Function

' Inverse Hyperbolic Cosine
Function HArcCos(x As Double) As Double
HArcCos = Log(x + Sqr(x * x - 1))
End Function

' Inverse Hyperbolic Tangent
Function HArcTan(x As Double) As Double
HArcTan = Log((1 + x) / (1 - x)) / 2
End Function

' Inverse Hyperbolic Secant
Function HArcSec(x As Double) As Double
HArcSec = Log((Sqr(-x * x + 1) + 1) / x)
End Function

' Inverse Hyperbolic Cosecant
Function HArcCoSec(x As Double) As Double
HArcCoSec = Log((Sgn(x) * Sqr(x * x + 1) + 1) / x)
End Function

' Inverse Hyperbolic Cotangent
Function HArcCoTan(x As Double) As Double
HArcCoTan = Log((x + 1) / (x - 1)) / 2
End Function

' Logarithm to base N
Function LogN(x As Double, n As Double) As Double
LogN = Log(x) / Log(n)
End Function