Python中的复数 |第 2 组（重要函数和常量）

Python复数介绍： Python中的复数|第 1 套（介绍）
本文讨论了一些更重要的函数和常量。
复数运算：

1. exp() :- 该函数返回其参数中提到的复数的指数。

2. log(x,b) :- 该函数返回以b 为底的 x 的对数值，两者都在其参数中提及。如果未指定基数，则返回 x 的自然对数。

# Python code to demonstrate the working of 
# exp(), log()
  
# importing "cmath" for complex number operations
import cmath
import math
  
# Initializing real numbers
x = 1.0
y = 1.0
  
# converting x and y into complex number
z = complex(x, y);
  
# printing exponent of complex number
print ("The exponent of complex number is : ", end="")
print (cmath.exp(z))
  
# printing log form of complex number
print ("The log(base 10) of complex number is : ", end="")
print (cmath.log(z,10))

输出：

The exponent of complex number is : (1.4686939399158851+2.2873552871788423j)
The log(base 10) of complex number is : (0.15051499783199057+0.3410940884604603j)

3. log10() :- 此函数返回复数的以10 为底的对数。

4. sqrt() :- 计算复数的平方根。

# Python code to demonstrate the working of 
# log10(), sqrt()
# importing "cmath" for complex number operations
import cmath
import math
  
# Initializing real numbers
x = 1.0
y = 1.0
  
# converting x and y into complex number
z = complex(x, y);
  
# printing log10 of complex number
print ("The log10 of complex number is : ", end="")
print (cmath.log10(z))
  
# printing square root form of complex number
print ("The square root of complex number is : ", end="")
print (cmath.sqrt(z))

输出：

The log10 of complex number is : (0.15051499783199057+0.3410940884604603j)
The square root of complex number is : (1.09868411346781+0.45508986056222733j)

5. isfinite() :-如果复数的实部和虚部都是有限的，则返回 true，否则返回 false。

6. isinf() :-如果复数的实部或虚部是无限的，则返回 true，否则返回 false。

7. isnan() :- 如果复数的实部或虚部是NaN ，则返回 true，否则返回 false。

# Python code to demonstrate the working of 
# isnan(), isinf(), isfinite()
   
# importing "cmath" for complex number operations
import cmath
import math
   
# Initializing real numbers
x = 1.0
y = 1.0
a = math.inf
b = math.nan
   
# converting x and y into complex number
z = complex(x,y);
   
# converting x and a into complex number
w = complex(x,a);
   
# converting x and b into complex number
v = complex(x,b);
   
# checking if both numbers are finite
if cmath.isfinite(z):
       print ("Complex number is finite")
else : print ("Complex number is infinite")   
       
# checking if either number is/are infinite
if cmath.isinf(w):
       print ("Complex number is infinite")
else : print ("Complex number is finite")   
   
# checking if either number is/are infinite
if cmath.isnan(v):
       print ("Complex number is NaN")
else : print ("Complex number is not NaN") 

输出：

Complex number is finite
Complex number is infinite
Complex number is NaN

常数

cmath 模块中定义了两个常量， “pi” ，它返回 pi 的数值。第二个是“e” ，它返回指数的数值。

# Python code to demonstrate the working of 
# pi and e 
  
# importing "cmath" for complex number operations
import cmath
import math
  
# printing the value of pi 
print ("The value of pi is : ", end="")
print (cmath.pi)
  
# printing the value of e
print ("The value of exponent is : ", end="")
print (cmath.e)

输出：

The value of pi is : 3.141592653589793
The value of exponent is : 2.718281828459045

Python中的复数 |第 3 组（三角函数和双曲函数）