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Author: Patrick Bryant Organization: Pedantic Research Limited Location: Dayton, Ohio, USA Date: July 2025 License: Public Domain - Free for all uses
Detached Point Arithmetic (DPA) is a method of performing exact numerical computations by separating integer mantissas from their point positions. Unlike IEEE-754 floating-point arithmetic, DPA performs all operations using integer arithmetic, deferring rounding until final output. This paper presents the complete theory and implementation, released freely to advance the field of numerical computation.
"Sometimes the best discoveries are the simplest ones. This is my contribution to a world that computes without compromise." - Patrick Bryant
Every floating-point operation rounds. Every rounding introduces error. Every error compounds. This has been accepted as inevitable since the introduction of IEEE-754 in 1985.
Detached Point Arithmetic (DPA) eliminates rounding errors by performing all arithmetic using integers, tracking the decimal/binary point position separately. The result is exact computation using simpler hardware.
