Floating Point Compare
From Erlang Community
You want to compare two floating-point numbers and know if they are equal. Unfortunately, floating-point arithmetic is not precise so very few results will match exactly. Consequently, we usually want to compare floating point values up to a certain number of decimal places.
Implement a "fuzzy match" on two real numbers where the difference is below some epsilon threshhold.
In these cases, you can use floating-point byte strings to represent and compare numbers:
Another option is to convert the numbers into strings and then compare the portions of the numbers of interest:
equal_to_digit(A,B,D) -> [As0,Bs0] = io_lib:fwrite("~.*f~.*f", [D+1,A-trunc(A),D+1,B-trunc(B)]), As = string:substr(As0,1,D+2), Bs = string:substr(Bs0,1,D+2), As == Bs. 5> equal_to_digit(7201.700099999999, 7201.790110000001,1). true 6> equal_to_digit(7201,700099999999, 7201.790110000001,2). false
Note: Some error handling would obviously be necessary to handle cases where the digits are insufficient for the match.
Volume 2, Section 4.2.2 of The Art of Computer Programming