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Python 3.0 Rounding Behavior
Python 3.0 has introduced significant changes to the round() function's rounding strategy and return type. In Python 2, round(2.5) returned 3, while in Python 3, it returns 2. Similarly, round(3.5) returns 4 in both versions.
This change has been made to adopt the "round half to even" or "banker's rounding" technique. Rounding in Python 3 is now consistent with the IEEE 754 standard for floating-point math, which defines five distinct rounding methods.
Rationale for the Change
The previous rounding behavior ("always round 0.5 up") could result in a slight bias towards larger numbers when performing numerous computations. Python 3's approach eliminates this bias.
Other Programming Languages with Banker's Rounding
Python 3 is not the only programming language that uses banker's rounding. Other mainstream languages such as C , Java, and AppleScript also implement this method.
Implications for Previous Assumptions
The conventional understanding of rounding may not align with the current behavior of round() in Python 3. This can lead to unexpected results when relying on previous assumptions about rounding.
It's important to note that there are other rounding methods in existence, and different programming languages may implement different techniques. When working with floating-point numbers, it's crucial to be aware of the specific rounding algorithm being used to avoid unexpected outcomes.
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