Quadruple-precision BLAS using Bailey's arithmetic with FMA instruction: its performance and applications

2017 ◽  
Author(s):  
Susumu Yamada ◽  
Takuya Ina ◽  
Narimasa Sasa ◽  
Yasuhiro Idomura ◽  
Masahiko Machida ◽  
...  
Keyword(s):  
Quadruple Precision

Design of quadruple precision multiplier architectures with SIMD single and double precision support

Integration ◽  
2019 ◽  
Vol 65 ◽  
pp. 163-174 ◽  
Author(s):  
Manish Kumar Jaiswal ◽  
Hayden K.-H. So
Keyword(s):  
Double Precision ◽  
Quadruple Precision

scholarly journals Research on IEEE 754 Standard Single Precision Floating Point Multipliers Designed using Urdhva Triyagbhyam Sutra of Vedic Mathematics

2019 ◽  
Vol 8 (2S11) ◽  
pp. 2990-2993
Keyword(s):  
Floating Point ◽  
Double Precision ◽  
Single Precision ◽  
Vedic Mathematics ◽  
Quadruple Precision

Duplication of the coasting element numbers is the big activity in automated signal handling. So the exhibition of drifting problem multipliers count on a primary undertaking in any computerized plan. Coasting factor numbers are spoken to utilizing IEEE 754 modern day in single precision(32-bits), Double precision(sixty four-bits) and Quadruple precision(128-bits) organizations. Augmentation of those coasting component numbers can be completed via using Vedic generation. Vedic arithmetic encompass sixteen wonderful calculations or Sutras. Urdhva Triyagbhyam Sutra is most usually applied for growth of twofold numbers. This paper indicates the compare of tough work finished via exceptional specialists in the direction of the plan of IEEE 754 ultra-modern-day unmarried accuracy skimming thing multiplier the usage of Vedic technological statistics.

scholarly journals High-frequency electromagnetic field analysis using pseudo-quadruple precision in subdomain local solver

2021 ◽  
Vol 8 (2) ◽  
pp. 194-210
Author(s):  
Amane Takei ◽  
Hiroshi Kawai ◽  
Ryuji Shioya ◽  
Tomonori Yamada
Keyword(s):  
Electromagnetic Field ◽  
High Frequency ◽  
Field Analysis ◽  
Quadruple Precision ◽  
High Frequency Electromagnetic Field

An Unified Architecture for Single, Double, Double-Extended, and Quadruple Precision Division

2017 ◽  
Vol 37 (1) ◽  
pp. 383-407 ◽  
Author(s):  
Manish Kumar Jaiswal ◽  
Hayden K.-H. So
Keyword(s):  
Quadruple Precision

scholarly journals Parallel Generalized Real Symmetric-Definite Eigenvalue Problem

2020 ◽  
Vol 125 ◽  
Author(s):  
James S. Sims ◽  
María Belén Ruiz
Keyword(s):  
Eigenvalue Problem ◽  
Quadruple Precision ◽  
Dense Matrices ◽  
Fortran 90

A computationally fast Fortran 90+ quadruple precision portable parallel GRSDEP (generalized real symmetric-definite eigenvalue problem) package suitable for large (80,000 x 80,000 or greater) dense matrices is discussed in this paper.

Architecture for Dual-Mode Quadruple Precision Floating Point Adder

2015 ◽  
Author(s):  
Manish Kumar Jaiswal ◽  
B. Sharat Chandra Varma ◽  
Hayden K. H. So
Keyword(s):  
Floating Point ◽  
Dual Mode ◽  
Quadruple Precision

scholarly journals Super-Accuracy Calculation for the Half Width of a Voigt Profile

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 210
Author(s):  
Yihong Wang ◽  
Bin Zhou ◽  
Rong Zhao ◽  
Bubin Wang ◽  
Qi Liu ◽  
...  
Keyword(s):  
Approximation Scheme ◽  
Half Width ◽  
Simple Approximation ◽  
Quadruple Precision ◽  
Voigt Profile ◽  
Better Than

A simple approximation scheme to describe the half width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation scheme is highly accurate and provides an accuracy better than 10−17 for arbitrary αL/αG ratios. In particular, the accuracy reaches an astonishing 10−34 (quadruple precision) in the domain 0 ≤ αL/αG ≤ 0.2371 ∪ αL/αG ≥ 33.8786.

scholarly journals Fast Quadruple Precision Arithmetic Library on Parallel Computer SR11000/J2

2008 ◽  
pp. 446-455 ◽  
Author(s):  
Takahiro Nagai ◽  
Hitoshi Yoshida ◽  
Hisayasu Kuroda ◽  
Yasumasa Kanada
Keyword(s):  
Parallel Computer ◽  
Quadruple Precision

A Hybrid-Precision Numerical Orbit Integration Technique for Next Generation Gravity Missions

2020 ◽  
Author(s):  
Yufeng Nie ◽  
Yunzhong Shen ◽  
Qiujie Chen
Keyword(s):  
Double Precision ◽  
Next Generation ◽  
Integration Technique ◽  
Reference Orbit ◽  
Orbit Propagation ◽  
Quadruple Precision ◽  
Range Rate ◽  
Orbit Integration ◽  
Numerical Orbit ◽  
Best Fit

<p>In Next Generation Gravity Missions (NGGM) the Laser Ranging Interferometer (LRI) is applied to measure inter-satellite range rate with nanometer-level precision. Thereby the precision of numerical orbit integration must be higher or at least same as that of LRI and the currently widely-used double-precision orbit integration technique cannot meet the numerical requirements of LRI measurements. Considering quadruple-precision orbit integration arithmetic is time consuming, we propose a hybrid-precision numerical orbit integration technique, in which the double- and quadruple-precision arithmetic is employed in the increment calculation part and orbit propagation part, respectively. Since the round-off errors are not sensitive to the time-demanding increment calculation but to the least time-consuming orbit propagation, the proposed hybrid-precision numerical orbit integration technique is as efficient as the double-precision orbit integration technique, and as precise as the quadruple-precision orbit integration. By using hybrid-precision orbit integration technique, the range rate precision is easily achieved at 10-12m/s in either nominal or Encke form, and furthermore the sub-nanometer-level range precision is obtainable in the Encke form with reference orbit selected as the best-fit one. Therefore, the hybrid-precision orbit integration technique is suggested to be used in the gravity field solutions for NGGM.</p>

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