# Decimal Functions in Python | Set 1

Last Updated : 22 Jan, 2022

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 functions` `import` `decimal`   `# using exp() to compute the exponent of decimal number` `a ``=` `decimal.Decimal(``4.5``).exp()`   `# using sqrt() to compute the square root of decimal number` `b ``=` `decimal.Decimal(``4.5``).sqrt()`   `# printing the exponent` `print` `(``"The exponent of decimal number is : "``,end``=``"")` `print` `(a)`   `# printing the square root` `print` `(``"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 functions` `import` `decimal`   `# using ln() to compute the natural log of decimal number` `a ``=` `decimal.Decimal(``4.5``).ln()`   `# using sqrt() to compute the log10 of decimal number` `b ``=` `decimal.Decimal(``4.5``).log10()`   `# printing the natural logarithm` `print` `(``"The natural logarithm of decimal number is : "``,end``=``"")` `print` `(a)`   `# printing the log10` `print` `(``"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 functions` `import` `decimal`   `# using as_tuple() to return decimal number as tuple` `a ``=` `decimal.Decimal(``-``4.5``).as_tuple()`   `# using fma() to compute fused multiply and addition` `b ``=` `decimal.Decimal(``5``).fma(``2``,``3``)`   `# printing the tuple` `print` `(``"The tuple form of decimal number is : "``,end``=``"")` `print` `(a)`   `# printing the fused multiple and addition` `print` `(``"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 functions` `import` `decimal`   `# Initializing decimal number` `a ``=` `decimal.Decimal(``9.53``)`   `# Initializing decimal number` `b ``=` `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 functions` `import` `decimal`   `# Initializing decimal number` `a ``=` `decimal.Decimal(``9.53``)`   `# Initializing decimal number` `b ``=` `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 functions` `import` `decimal`   `# Initializing decimal number` `a ``=` `decimal.Decimal(``9.53``)`   `# Initializing decimal number` `b ``=` `decimal.Decimal(``7.43``)`   `# printing minimum of both values` `print` `(``"The minimum of two numbers is : "``,end``=``"")` `print` `(a.``min``(b))`   `# printing maximum of both values` `print` `(``"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```