Boots – shoes – and leggings
Patent
1980-04-22
1983-05-31
Malzahn, David H.
Boots, shoes, and leggings
364745, G06F 738
Patent
active
043864139
ABSTRACT:
A method and a digital computer for providing the result of a calculation performed upon data having a floating point representation, with the number of exact significant figures in this result. With every mantissa of initial data is associated an item of error information having a floating point representation and which has a value of zero when the real value of the initial data and the value thereof in its digital representation coincide and which does not have a value of zero when the real value of the initial data and the value thereof in its digital representation do not coincide. The first operation is carried out by employing the digital representation and the item of error information of the mantissa in order to calculate a mean value of the mantissa of the result and the item of error information associated with the mean value. Each other operation is carried out by employing, in case of need, as a non-initial piece of data, the result of a preceding operation in the form of its calculated mantissa mean value and item of error information. The number of exact significant figures in the final result is determined from the calculated values of the mean value and error information of the mantissa of the final result.
REFERENCES:
patent: 4149261 (1979-04-01), Harigaya et al.
Frye, "Floating Point Guard Digit" IBM Tech. Disclosure Bulletin vol. 10, No. 10 Mar. 1968, pp. 1523-1524.
IEEE Transactions on Computers, vol. C-26, Jul. 1977, No. 7, New York (US) D. J. Kuck et al.: "Analysis of Rounding Methods in Floating-Point Arithmetic", pp. 643-650.
IEE Transactions on Computers, vol. C-22, Jun. 1973, No. 6 New York (US) J. M. Yohe: "Roundings in Floating-Point-Arithmetic", pp. 577-586.
Proceedings of the Spring Joint Computer Conference: AFIPS Conference Proceedings, vol. 38, 1971 Montvale, New Jersey (U.S.) H. S. Bright et al.: "A Software System for Tracing Numerical Significance During Computer Program Execution", pp. 387-392.
Ung Vincent
Vignes Jean P.
Agence Nationale de Valorisation de la Recherche (ANVAR)
Eslinger Lewis H.
Malzahn David H.
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