# Code Inspection: Equality comparison of floating point numbers

Using the `==`

/ `!=`

operators to compare floating-point numbers is, generally, a bad idea. Floating point values are inherently inaccurate, and comparing them for exact equality is almost never the desired semantics. Comparison via the `==`

/ `!=`

operators checks floating-point value representation to be exactly the same, which is very unlikely if you perform any arithmetic operations involving precision loss. For example, let's perform two simple arithmetic operations —

add

`0.1`

`11`

times, andmultiply

`0.1`

by`11`

— and check whether their floating-point results are equal:

In a test run, we get `add = 1.0999999999999999`

and `multiply = 1.1000000000000001`

(although different runtimes can render different results), so the `==`

operator evaluates the comparison to `false`

.

To do this kind of comparison correctly, we need to specify a tolerance, that is, a value to indicate by how much the result can diverge from the intended value. ReSharper helps us automatically rewrite the comparison as `Math.Abs([expression]) < [tolerance]`

. The `tolerance`

value depends on the precision of the calculations you perform. In our example, we can safely rely on a tolerance of `0.000000001`

: