Abstract
Numerical computing is a key part of the traditional computer architecture. Almost all traditional computers implement the IEEE 754-1985 binary floating point standard to represent and work with numbers. The architectural limitations of traditional computers make impossible to work with infinite and infinitesimal quantities numerically. This paper is dedicated to the Infinity Computer, a new kind of a supercomputer that allows one to perform numerical computations with finite, infinite, and infinitesimal numbers. The already available software simulator of the Infinity Computer is used in different research domains for solving important real-world problems, where precision represents a key aspect. However, the software simulator is not suitable for solving problems in control theory and dynamics, where visual programming tools like Simulink are used frequently. In this context, the paper presents an innovative solution that allows one to use the Infinity Computer arithmetic within the Simulink environment. It is shown that the proposed solution is user-friendly, general purpose, and domain independent.
Highlights
Traditional computers implement the IEEE 754-1985 binary floating point standard to represent and work with numbers [see IEEE (1985)]
The proposed solution brings the power of the Infinity Computer into the Simulink Graphical Programming Environment (GPE)
The solution has been designed to facilitate the modeling and simulation of dynamic systems by allowing engineers to focus on the specific aspects of their system’s components, without dealing with the low level functionalities exposed by the Infinity Computer Arithmetic C++ library (ICA-lib)
Summary
Traditional computers implement the IEEE 754-1985 binary floating point standard to represent and work with numbers [see IEEE (1985)]. The software simulator is not yet sufficiently mature to address problems in control theory and dynamic systems due to implementative issues related to extending and integrating the C++ source code of the arithmetical and elementary operations in wellknown environments like Simulink. To overcome these issues, the paper presents an innovative solution that allows one to use the Infinity Computer arithmetic within the Simulink environment, which is a wellknown graphical programming environment, developed by MathWorks, for studying and analyzing dynamic systems [see Falcone and Garro (2019)].
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