Yannick TANGUY created MATH-866:
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Summary: New method to compute relative deviation between two
floating numbers
Key: MATH-866
URL: https://issues.apache.org/jira/browse/MATH-866
Project: Commons Math
Issue Type: Improvement
Affects Versions: 3.1
Reporter: Yannick TANGUY
A new method to compute a relative deviation would be very useful.
In order to handle properly odd values (O+,0-,NaN,Infinity), we suggest to call
first the classical equals() method (strict equality, using one ulp as a
threshold) and then the relative tolerance.
Here is the code we use :
public static boolean equalsWithRelativeTolerance(final double x, final
double y, final double eps) {
// Initialisation
boolean isEqual = false;
// very close (including both equals 0.0) case
if (equals(x, y)) {
isEqual = true;
}
// common case
else {
// Relative difference computation
final double absoluteMax = FastMath.max(FastMath.abs(x),
FastMath.abs(y));
final double relativeDifference = FastMath.abs((x - y) /
absoluteMax);
//test
if (relativeDifference < eps) {
isEqual = true;
}
}
return isEqual;
}
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