Python in its definition provides certain methods to perform faster decimal floating point arithmetic using the module “decimal”.
Important operations on Decimals
1. sqrt() :- This function computes the square root of the decimal number.
2. exp() :- This function returns the e^x (exponent) of the decimal number.
Python3
# Python code to demonstrate the working of# sqrt() and exp()# importing "decimal" module to use decimal functionsimport decimal# using exp() to compute the exponent of decimal numbera = decimal.Decimal(4.5).exp()# using sqrt() to compute the square root of decimal numberb = decimal.Decimal(4.5).sqrt()# printing the exponentprint ("The exponent of decimal number is : ",end="")print (a)# printing the square rootprint ("The square root of decimal number is : ",end="")print (b) |
Output:
The exponent of decimal number is : 90.01713130052181355011545675 The square root of decimal number is : 2.121320343559642573202533086
3. ln() :- This function is used to compute natural logarithm of the decimal number.
4. log10() :- This function is used to compute log(base 10) of a decimal number.
Python3
# Python code to demonstrate the working of# ln() and log10()# importing "decimal" module to use decimal functionsimport decimal# using ln() to compute the natural log of decimal numbera = decimal.Decimal(4.5).ln()# using sqrt() to compute the log10 of decimal numberb = decimal.Decimal(4.5).log10()# printing the natural logarithmprint ("The natural logarithm of decimal number is : ",end="")print (a)# printing the log10print ("The log(base 10) of decimal number is : ",end="")print (b) |
Output:
The natural logarithm of decimal number is : 1.504077396776274073373258352 The log(base 10) of decimal number is : 0.6532125137753436793763169118
5. as_tuple() :- Returns the decimal number as tuple containing 3 arguments, sign(0 for +, 1 for -), digits and exponent value.
6. fma(a,b) :- This “fma” stands for fused multiply and add. It computes (num*a)+b from the numbers in argument. No rounding of (num*a) takes place in this function.
Example :
decimal.Decimal(5).fma(2,3) --> (5*2)+3 = 13
Python3
# Python code to demonstrate the working of# as_tuple() and fma()# importing "decimal" module to use decimal functionsimport decimal# using as_tuple() to return decimal number as tuplea = decimal.Decimal(-4.5).as_tuple()# using fma() to compute fused multiply and additionb = decimal.Decimal(5).fma(2,3)# printing the tupleprint ("The tuple form of decimal number is : ",end="")print (a)# printing the fused multiple and additionprint ("The fused multiply and addition of decimal number is : ",end="")print (b) |
Output:
The tuple form of decimal number is : DecimalTuple(sign=1, digits=(4, 5), exponent=-1) The fused multiply and addition of decimal number is : 13
7. compare() :- This function is used to compare decimal numbers. Returns 1 if 1st Decimal argument is greater than 2nd, -1 if 1st Decimal argument is smaller than 2nd and 0 if both are equal.
8. compare_total_mag() :- Compares the total magnitude of decimal numbers. Returns 1 if 1st Decimal argument is greater than 2nd(ignoring sign), -1 if 1st Decimal argument is smaller than 2nd(ignoring sign) and 0 if both are equal(ignoring sign).
Python3
# Python code to demonstrate the working of# compare() and compare_total_mag()# importing "decimal" module to use decimal functionsimport decimal# Initializing decimal numbera = decimal.Decimal(9.53)# Initializing decimal numberb = decimal.Decimal(-9.56)# comparing decimal numbers using compare()print ("The result of comparison using compare() is : ",end="")print (a.compare(b))# comparing decimal numbers using compare_total_mag()print ("The result of comparison using compare_total_mag() is : ",end="")print (a.compare_total_mag(b)) |
Output:
The result of comparison using compare() is : 1 The result of comparison using compare_total_mag() is : -1
9. copy_abs() :- This function prints the absolute value of decimal argument.
10. copy_negate() :- This function prints the negation of decimal argument.
11. copy_sign() :- This function prints the first argument by copying the sign from 2nd argument.
Python3
# Python code to demonstrate the working of# copy_abs(),copy_sign() and copy_negate()# importing "decimal" module to use decimal functionsimport decimal# Initializing decimal numbera = decimal.Decimal(9.53)# Initializing decimal numberb = decimal.Decimal(-9.56)# printing absolute value using copy_abs()print ("The absolute value using copy_abs() is : ",end="")print (b.copy_abs())# printing negated value using copy_negate()print ("The negated value using copy_negate() is : ",end="")print (b.copy_negate())# printing sign effected value using copy_sign()print ("The sign effected value using copy_sign() is : ",end="")print (a.copy_sign(b)) |
Output:
The absolute value using copy_abs() is : 9.5600000000000004973799150320701301097869873046875 The negated value using copy_negate() is : 9.5600000000000004973799150320701301097869873046875 The sign effected value using copy_sign() is : -9.5299999999999993605115378159098327159881591796875
12. max() :- This function computes the maximum of two decimal numbers.
13. min() :- This function computes the minimum of two decimal numbers.
Python3
# Python code to demonstrate the working of# min() and max()# importing "decimal" module to use decimal functionsimport decimal# Initializing decimal numbera = decimal.Decimal(9.53)# Initializing decimal numberb = decimal.Decimal(7.43)# printing minimum of both valuesprint ("The minimum of two numbers is : ",end="")print (a.min(b))# printing maximum of both valuesprint ("The maximum of two numbers is : ",end="")print (a.max(b)) |
Output:
The minimum of two numbers is : 7.429999999999999715782905696 The maximum of two numbers is : 9.529999999999999360511537816
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