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Exact real calculator for everyone
Citation
Ho, W. K. (2013, December 7-11). Exact real calculator for everyone [Paper presentation]. Joint Session of the 18th Asian Technology Conference in Mathematics and 6th Technology and Innovations in Mathematics Education (2013), Mumbai, India.
Abstract
Despite its simplicity and versatility, the well-known Floating Point System (FPS) has a serious shortcoming: the finite nature of a computer makes rounding-off inevitable. Because of this, FPS can sometimes lead to serious computational errors, i.e., a small round-off error due to truncation can cause a large deviation in the output in iterations within chaotic systems. This paper bridges the gap between theory and practice of Exact Real Arithmetic (ERA), and reports on the design and implementation of a user-friendly scientific calculator ERCE using HASKELL, capable of ERA. With a functional-programming slant, we use ERCE as a channel for the technology of ERA to reach out to a wider community: even a school student can use it.
Date Issued
2013
Description
This paper was presented at the Joint Session of the 18th Asian Technology Conference in Mathematics and 6th Technology and Innovations in Mathematics Education (2013) held at Mumbai, India from 7 – 11 Dec 2013