Elementary Functions and Approximate Computing

Authors: Muller, J.

Source: Proceedings of the IEEE Proc. IEEE Proceedings of the IEEE. 108(12):2136-2149 Dec, 2020

An approach to the application of shift-and-add algorithms on engineering and industrial processes

Authors: Sanchez-Romero, Jose-Luis ^{a, ⁎}, Jimeno-Morenilla, Antonio ^a, Molina-Carmona, Rafael ^b, Perez-Martinez, Jose ^a

Source: In Mathematical and Computer Modelling April 2013 57(7-8):1800-1806

Elementary functions, algorithms and implementation, 3rd Edition

Authors: Muller, Jean-Michel

Contributors: Muller, Jean-Michel

Subject Terms: [INFO.INFO-OH] Computer Science [cs]/Other [cs.OH], computer arithmetic, elementary functions, floating-point arithmetic, evaluation of functions, shift-and-add algorithms, cordic, correct rounding, range reduction, algorithms, polynomial and rational approximations

Accelerated Shift-and-Add Algorithms: Accelerated shift-and-add algorithms

Authors: Revol, Nathalie, Yakoubsohn, Jean-Claude

Contributors: Revol, Nathalie, Computer arithmetic (ARENAIRE), Centre Inria de l'Université Grenoble Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire de l'Informatique du Parallélisme (LIP), École normale supérieure de Lyon (ENS de Lyon), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure de Lyon (ENS de Lyon), Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)

Source: Reliable Computing. 6:193-205

Subject Terms: ACM: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.7: Ordinary Differential Equations, Computation of special functions and constants, construction of tables, [INFO.INFO-AO]Computer Science [cs]/Computer Arithmetic, ACM: B.: Hardware/B.2: ARITHMETIC AND LOGIC STRUCTURES/B.2.4: High-Speed Arithmetic, shift-and-add algorithms, [INFO.INFO-AO] Computer Science [cs]/Computer Arithmetic, Other functions coming from differential, difference and integral equations, Numerical methods for initial value problems involving ordinary differential equations, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023%2FA%3A1009921407000
https://hal.inria.fr/inria-00545004
https://dblp.uni-trier.de/db/journals/rc/rc6.html#RevolY00

Accelerated Shift-and-Add Algorithms for an Hardware Implementation of Elementary Functions

Authors: N. Revol, J.-C. Yakoubsohn

Contributors: The Pennsylvania State University CiteSeerX Archives

Source: http://ano.univ-lille1.fr/pub/1999/ano395.ps.Z.

Subject Terms: single and double floating-point numbers, computation of elementary functions, shift-and-add algorithms, numerical integration of ODEs

File Description: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.1375

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.1375
http://ano.univ-lille1.fr/pub/1999/ano395.ps.Z

An approach to the application of shift-and-add algorithms on engineering and industrial processes

Authors: Universidad de Alicante. Departamento de Tecnología Informática y Computación, Universidad de Alicante. Departamento de Ciencia de la Computación e Inteligencia Artificial, Sanchez-Romero, Jose-Luis, Jimeno-Morenilla, Antonio, Molina-Carmona, Rafael, Pérez Martínez, José

Index Terms: Shift-and-add algorithms, Engineering, CAD/CAM, info:eu-repo/semantics/article

URL: http://hdl.handle.net/10045/40360
http://dx.doi.org/10.1016/j.mcm.2011.11.062