# Why and How to Use Arbitrary Precision

@article{Ghazi2010WhyAH, title={Why and How to Use Arbitrary Precision}, author={Kaveh R. Ghazi and Vincent Lef{\`e}vre and Philippe Th{\'e}veny and Paul Zimmermann}, journal={Comput. Sci. Eng.}, year={2010}, volume={12}, pages={5} }

Although double precision is usually enough, arbitrary precision increases accuracy and the reproducibility of floating-point computations.

## 23 Citations

Reliable Computing with GNU MPFR

- MathematicsICMS
- 2010

This article presents a few applications where reliable computations are obtained using the GNU MPFR library.

Arbitrary Precision Complex Interval Computations in C-XSC

- Computer SciencePPAM
- 2011

The new package allows to code mathematical expressions for the complex interval data type in their usual mathematical notation yielding easy to read and self-documenting source code and more than 30 elementary mathematical functions have been realized.

Extending Summation Precision for Network Reduction Operations

- Computer ScienceSBAC-PAD
- 2013

Big integer (BigInt) expansions of double precision variables that enable arbitrarily large summations without error and provide exact and reproducible results are proposed.

Easing development of precision-sensitive applications with a beyond-quad-precision library

- Computer Science2015 49th Asilomar Conference on Signals, Systems and Computers
- 2015

The libwidefloat software is proposed, which offers precisions from 64 through 512 bits, and supports all basic operations (+, -, ×, /, FMA, comparisons etc.) It is fully implemented in header files for automatic optimization.

A Modular-Positional Computation Technique for Multiple-Precision Floating-Point Arithmetic

- Computer SciencePaCT
- 2015

This paper deals with a new technique of multiple-precision computations, based on the use of modular-positional floating-point format for representation of numbers, thus enabling high-speed processing of the significands with possible parallelization by RNS modules.

An Arbitrary Precision Integer Arithmetic Library for FPGA s

- Computer Science
- 2013

The intent of this thesis work is to support application programmers using FPGAs with an arbitrary precision (integer) arithmetic logic so that a user can implement cryptographic algorithms like RSA, AES etc.

Extending Summation Precision for Network Reduction Operations

- Computer Science2013 25th International Symposium on Computer Architecture and High Performance Computing
- 2013

Fixed-point representations of double precision variables that enable arbitrarily large summations without error and provide exact and reproducible results are proposed, which are called big integer (BigInt).

Automatic Generation of Code for the Evaluation of Constant Expressions at Any Precision with a Guaranteed Error Bound

- Computer Science2011 IEEE 20th Symposium on Computer Arithmetic
- 2011

An algorithm is presented that takes as input a constant formula and that automatically produces code for evaluating it in arbitrary precision with a rigorous error bound and has been implemented in the Solly a free software tool.

Evaluating a constant expression in multiple precision with a guaranteed error bound

- Computer Science
- 2010

An algorithm is presented that takes as input a constant formula and that automatically produces code for evaluating it in arbitrary precision with a rigorous error bound and has been implemented in the Sollya free software tool.

About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula

- MathematicsCommun. Nonlinear Sci. Numer. Simul.
- 2016

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