﻿功能:求古德曼函数值(Gudermannian Function)

格式:Gudermannian(z)、Gudermannian2(z)

说明:求复数z的古德曼函数值,按定义Gudermannian(z)=2*{Exp<算式解析\exp>}({Atan<算式解析\atan>}(z))-pi/2;Gudermannian2(z)=2*{Atan2<算式解析\atan2>}({Exp<算式解析\exp>}(z))-pi/2.注意本函数与反古德曼{InvGudermannian<算式解析\InvGudermannian>}、{InvGudermannian2<算式解析\InvGudermannian>}函数的区别.

关于:{古德曼函数<http://en.wikipedia.org/wiki/Gudermannian_function>}

例子:

Gudermannian(3+5.45678i)//回车
ans = 1.50326764849085 - 0.073186141413258i

Gudermannian2(3+5.45678i)//回车
ans = -4.77991765868873 - 0.073186141413258i