Converting real numbers to complex numbers

A complex number is represented as “ x + yi “. Python converts real numbers x and y to a complex using the complex (x, y) function. The real part can be accessed using the real () function, and the imaginary part can be represented by imag () .

# Python code to demonstrate how it works # complex (), real () and imag ()   # import & quot; cmath & quot; for operations with complex numbers import cmath   # Initializing real numbers x = 5 y = 3   # convert x and y to complex number z = complex (x, y);    # printing real and imaginary parts of a complex number print ( "The real part of complex number is:" , end = "") print (z.real)   print ( "The imaginary part of complex number is: " , end = " ") print (z.imag)

Output:

 The real part of complex number is: 5.0 The imaginary part of complex number is: 3.0  
 
  Complex phase th number  
 
 Geometrically, the phase of a complex number — it is the  angle between the positive real axis and the vector representing the complex number . This is also known as the  argument  of a complex number. Phase is returned by  phase () , which takes a complex number as an argument. The phase range is from  -pi to + pi.  that is, from  -3.14 to +3.14 . 
 
 
   
 
 
 
 
  # Python code to demonstrate how it works  
  # phase ()  
 
  
  # import & quot; cmath & quot; for operations with complex numbers  
 
  import   cmath 
 
  
  # Initializing real numbers  
 
  x   =   -   1.0  
 
  y   =   0.0  
 
  
  # convert x and y to complex number  
 
  z   =   complex   (x, y); 
 
  
  # printing the phase of a complex number using phase ()  
 
  print   (  "The phase of complex number is:"  , end   =   "")  
 
  print   (cmath.phase (z)) 
 
  
 
  
 
 Output: 
 
 The phase of complex number is: 3.141592653589793 

  Conversion from polar to rectangular and vice versa  
 Conversion to polar is performed using  polar () , which returns a  pair (r, ph),  denoting  module r  and phase  angle ph . a module can be rendered using  abs (),  and a phase using  phase () . 
 A complex number is converted to rectangular coordinates using  rect (r, ph) , where  r — module,  and  ph — phase angle . Returns a value numerically  r * (math.cos (ph) + math.sin (ph) * 1j)  






  # Python code to demonstrate how it works  
  # polar () and rect ()  
  
  # import & quot; cmath & quot; for operations with complex numbers  
  import   cmath 
  import   math 
  
  # Initializing real numbers  
  x   =   1.0  
  y   =   1.0  
   
  # convert x and y to complex number  

  z   =   complex   (x, y); 
  
  # convert complex number to polar using polar ()  

  w   =   cmath.polar (z)  
  
  # print engine and polar complex number argument  
  print   (  "The modulus and argument of polar complex number is:"  , end   =   "")  
  print   (w) 
  
  # convert complex number to rectangular using rect ()  
  w   =   cmath.rect (  1.4142135623730951  ,   0.7853981633974483  )  

  
  # printing a rectangular complex number  
  print   (  "The rectangular form of complex number is:"  , end   =   "") 
  print   (w) 




  
 Output: 
 The modulus and argument of polar complex number is: (1.4142135623730951, 0.7853981633974483) The rectangular form of complex number is: (1.0000000000000002 + 1j) 
  Manjit Singh  . If you are as Python.Engineering and would like to contribute, you can also write an article using  contribute.python.engineering  or by posting an article contribute @ python.engineering. See my article appearing on the Python.Engineering homepage and help other geeks. 
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