该模块cmath包括使用复数的附加功能。
import cmath
此模块可以计算弧度的复数相位:
z = 2+3j # 复数 cmath.phase(z) # 0.982793723247329
它允许在复数的笛卡尔(矩形)和极坐标表示之间进行转换:
cmath.polar(z) # (3.605551275463989,0.982793723247329) cmath.rect(2, cmath.pi/2) # (0 + 2j)
该模块包含的复杂版本
指数函数和对数函数(通常log是自然对数和log10十进制对数):
cmath.exp(z) # (-7.315110094901103 + 1.0427436562359045j)
cmath.log(z) # (1.2824746787307684 + 0.982793723247329j)
cmath.log10(-100) # (2 + 1.3643763538418412j)
平方根:
cmath.sqrt(z) # (1.6741492280355401 + 0.8959774761298381j)
三角函数及其反函数:
cmath.sin(z) # (9.15449914691143-4.168906959966565j)
cmath.cos(z) # (-4.189625690968807-9.109227893755337j)
cmath.tan(z) # (-0.003764025641504249 + 1.00323862735361j)
cmath.asin(z) # (0.5706527843210994 + 1.9833870299165355j)
cmath.acos(z) # (1.0001435424737972-1.9833870299165355j)
cmath.atan(z) # (1.4099210495965755 + 0.22907268296853878j)
cmath.sin(z)**2 + cmath.cos(z)**2 # (1 + 0j)
双曲函数及其反函数:
cmath.sinh(z) # (-3.59056458998578 + 0.5309210862485197j)
cmath.cosh(z) # (-3.7245455049153224 + 0.5118225699873846846j)
cmath.tanh(z) # (0.965385879022133-0.009884375038322495j)
cmath.asinh(z) # (0.5706527843210994 + 1.9833870299165355j)
cmath.acosh(z) # (1.9833870299165355 + 1.0001435424737972j)
cmath.atanh(z) # (0.14694666622552977 + 1.3389725222944935jj)
cmath.cosh(z)**2 - cmath.sin(z)**2 # (1 + 0j)
cmath.cosh((0+1j)*z) - cmath.cos(z) # 0j