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lognum
Introduction
A logarithmic number system (LNS) is an arithmetic system for representing real numbers. In LNS, a number X, is represented by the logarithm L of its absolute value:
X -> { s, L = \log_b(|X|) }
where s denotes the sign of X (s = 1 if X > 0 and s = -1 if X < 0).
Requires
Library procedures
[procedure] {{lognum?:: X -> BOOL}}[procedure] {{lognum-sign:: X -> INTEGER}}
[procedure] {{lognum-value:: X -> NUMBER}}
[procedure] {{number->lognum:: NUMBER -> LOGNUM}}
[procedure] {{lognum->number:: LOGNUM -> NUMBER}}
[procedure] {{lognum+:: A * B -> X}}
[procedure] {{lognum-:: A * B -> X}}
[procedure] {{lognum*:: A * B -> X}}
[procedure] {{lognum/:: A * B -> X}}
[procedure] {{lognum-neg:: A -> B}}
[procedure] {{lognum-abs:: A -> B}}
[procedure] {{lognum-signum:: A -> B}}
[procedure] {{lognum-recip:: A -> B}}
Authors
Ivan Raikov
Version
- 1.0
- Initial version
License
Copyright 2009 Ivan Raikov and the Okinawa Institute of Science and Technology.
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
A full copy of the GPL license can be found at <http://www.gnu.org/licenses/>.