NDLI: Environment parameters and basic functions for floating-point computation

Please wait, while we are loading the content...

A “core + modules” approach to Fortran standardization

Numerical precision and data structures

Report on discussions held by the IFIP Working Group 2.5 on Numerical Software

Environment parameters and basic functions for floating-point computation

A comparison of two recent approaches to machine parameterization for mathematical software

$UNIX^{TM}$ as an environment for producing numerical software

The AUGMENT precompiler as a tool for the development of special purpose arithmetic packages

Extending reliability (Extended Abstract>: Transformational tailoring of abstract mathematical software

Fortran tools

Using tools for verification, documentation and testing

A case for TOOLPACK

Programmable formatting of program text: Experiences drawn from the TAMPR system

New languages for numerical software

The programming language EFL

Design principles of the PORT library

The IMSL environment for software development

Transportability in practice - recent experience with the NAG Library

Portability and the national energy software center

A transportable system for management and exchange of programs and other text

Using Pascal for numerical analysis

Desirable floating-point arithmetic and elementary functions for numerical computation

Handling of floating point exceptions

“Programming effort” analysis of the ELLPACK language

Notes from the second department of energy library Workshop

Activities of the DOE Advanced Computing Committee Language Working Group

Environment parameters and basic functions for floating-point computation

Content Provider	ACM Digital Library
Author	Feldman, S. I. Brown, W. S.
Abstract	This paper presents a language-independent proposal for environment parameters and basic functions for floating-point computation, and suggests a specific representation in terms of generic functions for Fortran 77. The environment parameters were originally introduced in 1967 by Forsythe and Moler [1], who attributed the essentials of their theory to Wilkinson [2]. These parameters are also used in the PORT mathematical subroutine library [3], with precise definitions in terms of a more recent model of floating-point computation [4], and a similar set has been proposed by the IFIP Working on Numerical Software [5]. Three of the basic functions are taken from a proposal by Ford, Reid, and Smith [6], but redefined in terms of the parameters and the model to provide a firm theoretical foundation. The other three basic functions can be expressed in terms of these, but we feel they should be provided separately for convenience. The stated purpose of the model is to capture the fundamental concepts of floating-point computation in a small set of parameters and a small set of axioms. In this paper we extend the earlier work by proposing basic functions to analyze, synthesize, and scale floating-point numbers, and to provide sharp measures of roundoff error.
Starting Page	42
Ending Page	45
Page Count	4
File Format	PDF
DOI	10.1145/800208.806425
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1978-10-01
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Environment parameters and basic functions for floating-point computation

Environment Parameters and Basic Functions for Floating-Point Computation

Desirable floating-point arithmetic and elementary functions for numerical computation

Desirable floating-point arithmetic and elementary functions for numerical computation

Fast and correctly rounded logarithms in double-precision

Automatically adapting programs for mixed-precision floating-point computation

Combining Secret Sharing and Garbled Circuits for Efficient Private IEEE 754 Floating-Point Computations

Desirable floating-point arithmetic and elementary functions for numerical computation

Algorithm: fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions.

Environment parameters and basic functions for floating-point computation

Similar Documents

Environment parameters and basic functions for floating-point computation

Environment Parameters and Basic Functions for Floating-Point Computation

Desirable floating-point arithmetic and elementary functions for numerical computation

Desirable floating-point arithmetic and elementary functions for numerical computation

Fast and correctly rounded logarithms in double-precision

Automatically adapting programs for mixed-precision floating-point computation

Combining Secret Sharing and Garbled Circuits for Efficient Private IEEE 754 Floating-Point Computations

Desirable floating-point arithmetic and elementary functions for numerical computation

Algorithm: fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions.

Environment parameters and basic functions for floating-point computation