In python a number of mathematical operations can be performed with ease by importing a module named “math” which defines various functions which makes our tasks easier. 1. ceil() :- This function returns the smallest integral value greater than the number. If number is already integer, same number is returned. 2. floor() :- This function returns the greatest integral value smaller than the number. If number is already integer, same number is returned.
Python
# Python code to demonstrate the working of # ceil() and floor() # importing "math" for mathematical operations import math a = 2.3# returning the ceil of 2.3 print ("The ceil of 2.3 is : ", end="") print (math.ceil(a)) # returning the floor of 2.3 print ("The floor of 2.3 is : ", end="") print (math.floor(a)) |
Output:
The ceil of 2.3 is : 3 The floor of 2.3 is : 2
Time Complexity: O(1)
Auxiliary Space: O(1)
3. fabs() :- This function returns the absolute value of the number. 4. factorial() :- This function returns the factorial of the number. An error message is displayed if number is not integral.
Python
# Python code to demonstrate the working of # fabs() and factorial() # importing "math" for mathematical operations import math a = -10b= 5# returning the absolute value. print ("The absolute value of -10 is : ", end="") print (math.fabs(a)) # returning the factorial of 5 print ("The factorial of 5 is : ", end="") print (math.factorial(b)) |
Output:
The absolute value of -10 is : 10.0 The factorial of 5 is : 120
Time Complexity: O(b)
Auxiliary Space: O(1)
5. copysign(a, b) :- This function returns the number with the value of ‘a’ but with the sign of ‘b’. The returned value is float type. 6. gcd() :- This function is used to compute the greatest common divisor of 2 numbers mentioned in its arguments. This function works in python 3.5 and above.
Python
# Python code to demonstrate the working of # copysign() and gcd() # importing "math" for mathematical operations import math a = -10b = 5.5c = 15d = 5# returning the copysigned value. print ("The copysigned value of -10 and 5.5 is : ", end="") print (math.copysign(5.5, -10)) # returning the gcd of 15 and 5 print ("The gcd of 5 and 15 is : ", end="") print (math.gcd(5,15)) |
Output:
The copysigned value of -10 and 5.5 is : -5.5 The gcd of 5 and 15 is : 5
Time Complexity: O(min(c,d))
Auxiliary Space: O(1)
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