A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers [PDF]
This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs). Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors
Esam El-Araby +3 more
doaj +6 more sources
On implementing arbitrary precision arithmetic in NIL: an exercise in data abstraction
NIL, currently under development at MIT's Laboratory for Computer Science, is the "New Implementation of Lisp" intended for the latest generation of large address space computers. This system is being developed in Lisp itself (following the successful pattern of the Lisp Machine Project at MIT), and among other goals, eliminates a few internal ...
James M. Purtilo
semanticscholar +2 more sources
Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Revol, Nathalie, Rouillier, Fabrice
openaire +6 more sources
PyChelator: a Python-based Colab and web application for metal chelator calculations [PDF]
Background Metal ions play vital roles in regulating various biological systems, making it essential to control the concentration of free metal ions in solutions during experimental procedures.
Emrulla Spahiu +2 more
doaj +2 more sources
Development and verification of arbitrary-precision integer arithmetic libraries
Les algorithmes d'arithmétique entière en précision arbitraire sont utilisés dans des contextes où leur correction et leurs performances sont critiques, comme les logiciels de cryptographie ou de calcul formel.
Raphaël Rieu
semanticscholar +3 more sources
Arbitrary Precision Mathematica Functions to Evaluate the One-Sided One Sample K-S Cumulative Sampling Distribution [PDF]
Efficient rational arithmetic methods that can exactly evaluate the cumulative sampling distribution of the one-sided one sample Kolmogorov-Smirnov (K-S) test have been developed by Brown and Harvey (2007) for sample sizes n up to fifty thousand.
J. Randall Brown, Milton E. Harvey
doaj +1 more source
Simulating gravitational collapse with arbitrary-precision arithmetic [PDF]
The collapse of smooth initial conditions into Black Holes is an important phenomenon to unlock fundamental aspects of the gravitational theory. In this paper we go closer to the formation of the apparent horizon using arbitrary-precision arithmetic (MPFR library) for examining the finer structure that forms during the collapse.
Santos-Oliván, Daniel +1 more
openaire +2 more sources
FPGA-Specific Custom VLIW Architecture for Arbitrary Precision Floating-Point Arithmetic
Many scientific applications require efficient variable-precision floating-point arithmetic. This paper presents a special-purpose Very Large Instruction Word (VLIW) architecture for variable precision floating-point arithmetic (VV-Processor) on FPGA.
Yuanwu LEI, Yong DOU, Jie ZHOU
openaire +4 more sources
Automatic Differentiation in ROOT [PDF]
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evaluate the derivative of a function specified by a computer program.
Vassilev Vassil +2 more
doaj +1 more source

