Results 171 to 180 of about 95,300 (209)
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Arbitrary precision arithmetic in Algol 68
Software: Practice and Experience, 1979AbstractAlgol 68 enables facilities for such things as arbitrary precision arithmetic to be provided in a particularly elegant and convenient way. The library segment mlaritha which provides such facilities is described. This segment enables numerical quantities to be stored and manipulated with almost the same degree of ease, or difficulty, as REAL ...
J. Schonfelder, J. Thomason
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ArPCIM: An Arbitrary-Precision Analog Computing-in-Memory Accelerator With Unified INT/FP Arithmetic
IEEE Transactions on Circuits and Systems I: Regular PapersAnalog Computing-in-memory (ACIM) breaks the von Neumann bottleneck and significantly improves energy efficiency by enabling parallel matrix-vector-multiplication (MVM) operations.
Zhiwei Zhou +8 more
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A review note on arbitrary precision arithmetic
Mathematica Applicanda, 2023Summary: In this paper, we present a note on arbitrary precision. We give two simple examples showing the need of using arbitrary precision arithmetic. Next, we discuss how to use arbitrary precision arithmetic types in MATLAB/OCTAVE and further present short descriptions of several basic, in particular C/C++, packages for using arbitrary precision ...
L. Marcinkowski, Bartlomiej Szczygiel
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Arbitrary and Variable Precision Floating-Point Arithmetic Support in Dynamic Binary Translation
Proceedings of the 26th Asia and South Pacific Design Automation Conference, 2021Floating-point hardware support has more or less been settled 35 years ago by the adoption of the IEEE 754 standard. However, many scientific applications require higher accuracy than what can be rep-resented on 64 bits, and to that end make use of ...
M. Badaroux, F. Pétrot
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Automotive Innovation, 2019
The Vold–Kalman (VK) order tracking filter plays a vital role in the order analysis of noise in various fields. However, owing to the limited accuracy of double-precision floating-point data type, the order of the filter cannot be too high. This problem of accuracy makes it impossible for the filter to use a smaller bandwidth, meaning that the ...
Linhe Ge +4 more
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The Vold–Kalman (VK) order tracking filter plays a vital role in the order analysis of noise in various fields. However, owing to the limited accuracy of double-precision floating-point data type, the order of the filter cannot be too high. This problem of accuracy makes it impossible for the filter to use a smaller bandwidth, meaning that the ...
Linhe Ge +4 more
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UltraPrecise: A GPU-Based Framework for Arbitrary-Precision Arithmetic in Database Systems
2024 IEEE 40th International Conference on Data Engineering (ICDE)Fixed-point decimal operations in databases with arbitrary-precision arithmetic refer to the ability to store and operate decimal fraction numbers with an arbitrary length of digits.
Xin Li +4 more
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Mathematical Methods in the Applied Sciences, 2018
A complete set of radiating “outwards” eigensolutions of the Helmholtz equation, obtained by transforming appropriately through the Vekua mapping the kernel of Laplace equation, is applied to the investigation of the acoustic scattering by penetrable prolate spheroidal scatterers.
L. Gergidis +3 more
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A complete set of radiating “outwards” eigensolutions of the Helmholtz equation, obtained by transforming appropriately through the Vekua mapping the kernel of Laplace equation, is applied to the investigation of the acoustic scattering by penetrable prolate spheroidal scatterers.
L. Gergidis +3 more
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Robust Construction of 3-D Conforming Delaunay Meshes Using Arbitrary-Precision Arithmetic
International Meshing Roundtable Conference, 2005An algorithm for the construction of 3-D conforming Delaunay tetrahedralizations is presented. The boundary of the meshed domain is contained within Voronoi cells of the boundary vertices of the resulting mesh. The algorithm is explained heuristically. It has been implemented. The problem of numerical precision is shown to be a major obstacle to robust
K. Bogomolov
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SafeBigNum { Arbitrary-precision Arithmetic with Integrity Checking
Autonomous Systems 2019: An Almanac, 2019S. Widmann
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MSDF-SGD: Most-Significant Digit-First Stochastic Gradient Descent for Arbitrary-Precision Training
International Conference on Field-Programmable Logic and Applications, 2023Stochastic gradient descent has been a widely used machine learning algorithm, and interest in low-precision SGD is growing because it improves throughput and keeps efficient convergence.
Changjun Song +5 more
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