widthbucket11

Widthbucket11 is a hypothetical software library and algorithm designed for mapping numeric values to discrete bins, a common task in histogram construction and data discretization. It is presented here as an enhanced variant of the traditional width_bucket concept found in relational databases, with a versioned naming that signals a major revision and broader feature support.

The core function of widthbucket11 takes a value, a minimum, a maximum, and a number of bins, and returns an index indicating which bin the value falls into. In the standard usage, a value below the minimum maps to 0, a value above the maximum maps to the number of bins plus one, and values within the range map to an integer in the range 1 through the number of bins. Widthbucket11 also supports an overload that accepts an explicit list of bin boundaries, enabling irregular bin widths. In both cases, missing or non-numeric inputs are typically propagated as null, and edge rules for values exactly at boundaries can be configured to ensure consistent bin assignment.

A typical usage pattern involves uniform binning, where the bin width is (max - min) / bins, and the bucket is computed as floor((value - min) / width) + 1. For irregular bins, the function locates the interval defined by the boundaries that contains the value. Widthbucket11 is designed to be language-agnostic, with implementations in systems programming languages for performance-critical workloads and available bindings for high-level languages used in data analysis.

Applications include data histograms, online analytics, and preprocessing for machine learning. The library emphasizes numerical stability, clear edge-case behavior, and compatibility with existing width_bucket workflows. See also width_bucket and histogram binning concepts.