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or you could learn about how to do comparisons with floating point numbers
like multiplying them by the precision that you'd like to compare and comparing them as integers? /s
Both ints and floats represent real, rational values, but every operation in no way matches math. Associative? No. Commutative? No. Partially Ordered? No. Weakly Ordered? No. Symmetric? No. Reflexive? No. Antisymmetric? No. Nothing.

The only reasonable way to compare rationals is the decimal expansion of the string.

> For double/bigint joins that leads to observable differences between joins and plain comparisons, which is very bad.

This was one of the bigger hidden performance issues when I was working on Hive - the default coercion goes to Double, which has a bad hash code implementation [1] & causes joins to cluster & chain, which caused every miss on the hashtable to probe that many away from the original index.

The hashCode itself was smeared to make values near Machine epsilon to hash to the same hash bucket so that .equals could do its join, but all of this really messed up the folks who needed 22 digit numeric keys (eventually Decimal implementation handled it by adding a big fixed integer).

Databases and Double join keys was one of the red-flags in a SQL query, mostly if you see it someone messed up something.

[1] - https://issues.apache.org/jira/browse/HADOOP-12217

One simple solution would be to convert both operands to 80/128 bit float, which should avoid any precision loss, and compare those?
Julia gets this right. casting to both double and int, it does both a floating point compare and an integer compare , then AND them and return