Arrangement for determining number of exact significant figures

Details Arrangement for determining number of exact significant figures Arrangement for determining number of exact significant figures

1980-01-23

1983-01-04

Malzahn, David H.

Boots, shoes, and leggings

G06F 738

Patent

active

043675360

ABSTRACT:
With every numerical data there is associated an item of truncation information (TA1, TB1, . . . ) which is true or false according to whether its value is or is not truncated in the representation employed, the calculation is carried out a number of times while disturbing the development of at least one procedure independently of the others, the disturbance consisting during the course of each elementary operation of adding on occasion and at random a bit of the lowest significance to the mantissa of each number the associated item of truncation information of which is positive, and the mean value and the standard deviation of the different results provided are worked out in order to determine the number of exact significant figures in one of these results.

REFERENCES:
patent: 3569685 (1971-03-01), Chesley
patent: 3699326 (1972-10-01), Kindell et al.
patent: 4110831 (1978-08-01), Langdon, Jr.
Bright et al., "A Software System for Tracing Numerical Significance During Computer Program Execution" Proceeding of the Spring Joint Computer Conference A.S.I.P.S. Conference Proceeding, vol. 38, May 18-20, 1971, pp. 387-392.
Kuck et al., "Analysis of Rounding Methods in Floating-Point Arithmetic" IEEE Trans. on Computers vol. C-26, No. 7, Jul. 1977, pp. 643-650.

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