RoundingModelike
RoundingModelike is a conceptual framework used in numerical analysis to describe and analyze rounding behavior in finite-precision arithmetic. It defines a rounding function R that maps any real input x to a representable value within a defined precision, typically specified by a base and a fixed number of digits or bits. The framework accommodates both deterministic rounding modes, such as round-to-nearest, round-toward-zero, and round-toward ±infinity, and probabilistic or stochastic rounding schemes in which the result is chosen according to a probability distribution tied to the distance to neighboring representable values.
In the model, rounding is parameterized by precision, an optional scaling, and, for stochastic variants, a randomness
Applications of RoundingModelike include analysis of numerical algorithms, development of robust or quantized computations in machine