# infix =~=

Documentation for infix `=~=`

assembled from the following types:

# language documentation Operators

From Operators

## (Operators) infix =~=

multi sub infix:<=~=>(Any, Any)multi sub infix:<=~=>(Int, Int)multi sub infix:<=~=>(Num, Num)multi sub infix:<=~=>(Rational, Rational)multi sub infix:<=~=>(Real, Real)multi sub infix:<=~=>(Complex, Complex)multi sub infix:<=~=>(Numeric, Numeric)

The approximately-equal operator `≅`

, whose ASCII variant is `=~=`

, calculates the relative difference between the left-hand and right-hand sides and returns `True`

if the difference is less than `$*TOLERANCE`

(which defaults to 1e-15). However, if either side is zero then it checks that the absolute difference between the sides is less than `$*TOLERANCE`

. Note that this operator is not arithmetically symmetrical (doesn't do ± Δ):

my = 1;say ( + ) ; # OUTPUT: «False»say ( - ) ; # OUTPUT: «True»

The tolerance is supposed to be modifiable via an adverb:

my (, ) = 42, 42.1;say :tolerance(.1);

However, this is not yet implemented. The same effect can be achieved by assigning to $*TOLERANCE.

Note that setting $*TOLERANCE = 0 will cause all comparisons to fail.