floorH

floorH is a function commonly found in programming languages and mathematical libraries. Its primary purpose is to compute the greatest integer less than or equal to a given number. This operation is known as the floor function. For example, floorH(3.14) would return 3, and floorH(-2.7) would return -3. The function handles both positive and negative floating-point numbers, as well as integers. When an integer is passed to floorH, the function typically returns the integer itself, as it is already the greatest integer less than or equal to itself. floorH is a fundamental building block in various algorithms, including those involving discretization, rounding, and array indexing. It is distinct from the ceiling function, which rounds a number up to the nearest integer. The implementation of floorH can vary slightly between different programming environments, but the core mathematical definition remains consistent. It is often used when dealing with quantities that must be whole numbers, such as counts of items or pixel coordinates in computer graphics.

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