# Python 3.x Float Rounding Error (Decimal)

Jul 25, 2019

Example of Python float rounding error.

``v = 10.0 - 9.2print(v)    # 0.8000000000000007``

## Convert to Decimal

``import decimalfrom decimal import Decimaldecimal.getcontext().prec = 8v = Decimal(10.0) - Decimal(9.2)print(v)    # 0.80000000``

``decimal.DefaultContext.prec = 8             # all future thread will use thisdecimal.setcontext(decimal.DefaultContext)  # must apply to current threadv = Decimal(10.0) - Decimal(9.2)print(v)    # 0.80000000``

### Solutuon 3: Local context

``with decimal.localcontext() as context:    context.prec = 8    v = Decimal(10.0) - Decimal(9.2)    print(v)``

### Solution 4: Context instance

``context = decimal.getcontext().copy()context.prec = 8v = context.create_decimal(10.0) - context.create_decimal(9.2)print(v)``

or

``context = decimal.Context(prec=8)``

## Mix usage with int and float

OK

``Decimal(1) + 1      # Decimal('2')Decimal(1) == 1     # TrueDecimal(1) == 1.0   # TrueDecimal(1.0) == 1.0 # True``

Error

``Decimal(1) + 1.0    # TypeError``

## quantize

The quantize() method rounds a number to a fixed exponent. This method is useful for monetary applications that often round results to a fixed number of places:

``import mathfrom decimal import Decimalv = Decimal(math.pi)print(v)    # 3.141592653589793115997963468544185161590576171875v = Decimal(math.pi).quantize(Decimal('.01'))print(v)    # 3.14v = Decimal(math.pi).quantize(Decimal('.01'), rounding=decimal.ROUND_UP)print(v)    # 3.15v = Decimal(math.pi).quantize(Decimal('1.'))print(v)    # 3``

`BasicContext`

This is a standard context defined by the General Decimal Arithmetic Specification. Precision is set to nine. Rounding is set to ROUND_HALF_UP. All flags are cleared. All traps are enabled (treated as exceptions) except Inexact, Rounded, and Subnormal.

Because many of the traps are enabled, this context is useful for debugging.

`ExtendedContext`

This is a standard context defined by the General Decimal Arithmetic Specification. Precision is set to nine. Rounding is set to ROUND_HALF_EVEN. All flags are cleared. No traps are enabled (so that exceptions are not raised during computations).

Because the traps are disabled, this context is useful for applications that prefer to have result value of NaN or Infinity instead of raising exceptions. This allows an application to complete a run in the presence of conditions that would otherwise halt the program.

`DefaultContext`

This context is used by the Context constructor as a prototype for new contexts. Changing a field (such a precision) has the effect of changing the default for new contexts created by the Context constructor.

This context is most useful in multi-threaded environments. Changing one of the fields before threads are started has the effect of setting system-wide defaults. Changing the fields after threads have started is not recommended as it would require thread synchronization to prevent race conditions.

In single threaded environments, it is preferable to not use this context at all. Instead, simply create contexts explicitly as described below.

The default values are prec=28, rounding=ROUND_HALF_EVEN, and enabled traps for Overflow, InvalidOperation, and DivisionByZero.

Usage

``decimal.setcontext(decimal.ExtendedContext)``

## Caveats

``import decimalfrom decimal import Decimaldecimal.getcontext().prec = 8v = Decimal(5.86)print(v)    # 5.86000000000000031974423109204508364200592041015625``

Solution

``context = decimal.getcontext().copy()context.prec = 8v = context.create_decimal(5.86)print(v)``

or

``v = Decimal(5.86) + Decimal(0)print(v)``

References: