Results 31 to 40 of about 7,246 (295)

Algorithms for estimating modular numbers in floating-point arithmetic

Наука. Инновации. Технологии, 2022
In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
doaj  

Fused floating-point arithmetic for DSP [PDF]

2008 42nd Asilomar Conference on Signals, Systems and Computers, 2008
This paper extends the consideration of fused floating-point arithmetic to operations that are frequently encountered in DSP. The fast Fourier transform is a case in point, it uses a complex butterfly operation. For a radix-2 implementation, the butterfly consists of a complex multiply followed by the complex addition and subtraction of the same pair ...
Earl E. Swartzlander Jr., Hani H. Saleh
openaire   +1 more source

Algorithms for Manipulating Quaternions in Floating-Point Arithmetic [PDF]

2020 IEEE 27th Symposium on Computer Arithmetic (ARITH), 2020
Quaternions form a set of four global but not unique parameters, which canrepresent three-dimensional rotations in a non-singular way. They arefrequently used in computer graphics, drone and aerospace vehiclecontrol. Floating-point quaternion operations (addition, multiplication,reciprocal, norm) are often implemented "by the book".
Joldeş, Mioara, Muller, Jean-Michel
openaire   +2 more sources

Implementing decimal floating-point arithmetic through binary: some suggestions [PDF]

, 2010
International audienceWe propose several algorithms and provide some related results that make it possible to implement decimal floating-point arithmetic on a processor that does not have decimal operators, using the available binary floating-point ...
Martin-Dorel, Érik, Muller, Jean-Michel, Nicolas Brisebarre, Nicolas Louvet, Louvet, Nicolas, Panhaleux, Adrien, Ercegovac, Milos, Adrien Panhaleux, Brisebarre, Nicolas, Milos D. Ercegovac, Jean-Michel Muller, Erik Martin-Dorel   +11 more
core   +1 more source

TWFalcon: Triple-Word Arithmetic for Falcon

Transactions on Cryptographic Hardware and Embedded Systems
The post-quantum signature scheme Falcon is an attractive scheme for constrained devices due to its compactness and verification performance. However, it relies on floating-point arithmetic for signature generation, which - alongside physical security ...
Stef Halmans, Christine van Vredendaal, Tobias Schneider, Frank Custers, Tim Güneysu   +4 more
doaj   +1 more source

High-Precision Arithmetic in Mathematical Physics

Mathematics, 2015
For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate.
David H. Bailey, Jonathan M. Borwein
doaj   +1 more source

Cognitive and Neuroimaging Divergence Between Juvenile and Adult FUS Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a neurodegenerative disorder characterized by progressive motor neuron degeneration. Fused in sarcoma (FUS)‐associated juvenile ALS (jALS) represents a distinct and aggressive subgroup with rapid deterioration and poor prognosis.
Alexandra V. Jürs, Marcel Naumann, Annaliis Lehto, Hanna Schön, Jens Kurth, Johannes Prudlo, Andreas Hermann, Elisabeth Kasper   +7 more
wiley   +1 more source

Adding Floating-point Arithmetic Support to TriCera

, 2023
Floating-point arithmetic is a widely utilized technique for approximating real numbers. When applied in safety-critical systems, it is essential to ensure that these numbers behave as they should and do not give unsuspected errors.
Mirza, Danyal
core   +1 more source

Lightweight Floating-Point Arithmetic: Case Study of Inverse Discrete Cosine Transform

EURASIP Journal on Advances in Signal Processing, 2002
To enable floating-point (FP) signal processing applications in low-power mobile devices, we propose lightweight floating-point arithmetic. It offers a wider range of precision/power/speed/area trade-offs, but is wrapped in forms that hide the ...
Fang Fang, Chen Tsuhan, Rutenbar Rob A
doaj   +1 more source

An Automatable Formal Semantics for IEEE-754 Floating-Point Arithmetic

, 2015
Automated reasoning tools often provide little or no support to reason accurately and efficiently about floating-point arithmetic. As a consequence, software verification systems that use these tools are unable to reason reliably about programs ...
Wahl, Thomas,, Cesare Tinelli, Tinelli, Cesare,, Rümmer, Philipp,, Thomas Wahl, Martin Brain, Philipp Ruemmer, Brain, Martin,   +7 more
core   +1 more source