574 – Recent Advances in Software
The Fundamental Instruction Set Operation Codes Support Function Library
Timothy Hall
PQI Consulting
This paper documents the Fundamental Instruction Set Operation Codes (FISOC) Support Function Library that may be used to implement arbitrary extended precision Rational Arithmetic And Conversions (RAC) statistical algorithms in embedded systems, including Field Programmable Gate Arrays and Very High Speed Integrated Circuits. The FISOC support function library consists of a minimal set of low-level register and static memory manipulation commands that provide for all functionality available through Reduced Instruction Set Computing and high-level software (both commercial and maintained shareware), with an emphasis on simplifying and condensing statistical analyses that require exceptionally high levels of precision and errorless calculation results. Examples of common statistics-related calculation algorithms are included that demonstrate the implementation flexibility and practical utility of the library, and a demonstration of the utility of RAC analytic methodology is given through the strategic calculation of the square root.