Results 201 to 210 of about 94,745 (262)

Floating-Point Tricks

IEEE Computer Graphics and Applications, 1997
The author discusses IEEE floating point representation that stores numbers in what amounts to scientific notation. He considers the sign bit, the logarithm function, function approximations, errors and refinements.
G.J. Hekstra, E.F.A. Deprettere
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Beyond Floating Point

Journal of the ACM, 1984
A new number system is proposed for computer arithmetic based on iterated exponential functions. The main advantage is to eradicate overflow and underflow, but there are several other advantages and these are described and discussed.
Clenshaw, C. W., Olver, F. W. J.
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Tapered Floating Point: A New Floating-Point Representation

IEEE Transactions on Computers, 1971
It is well known that there is a possible tradeoff in the binary representation of floating-point numbers in which one bit of accuracy can be gained at the cost of halving the exponent range, and vice versa. A way in which the exponent range can be greatly increased while preserving full accuracy for most computations is suggested.
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Unnormalized Floating Point Arithmetic

Journal of the ACM, 1959
Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model ...
Ashenhurst, R. L., Metropolis, N.
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Accurate floating-point operation using controlled floating-point precision

Proceedings of 2011 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, 2011
Rounding and accumulation of errors when using floating point numbers are important factors in computer arithmetic. Many applications suffer from these problems. The underlying machine architecture and representation of floating point numbers play the major role in the level and value of errors in this type of calculations.
Ahmad M. Zaki, Mohamed H. El-Shafey, Ayman M. Bahaa-Eldin, Gamal M. Aly   +3 more
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Floating-Point Arithmetics

Journal of the ACM, 1960
Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-type arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.
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Floating point Gröbner bases

Mathematics and Computers in Simulation, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Floating-Point Arithmetic

2020
Working with big integers can be seen as an abstract art, and if the cryptosystems are not implemented properly, the entire cryptographic algorithm or scheme can lead to a real disaster. This chapter focuses on floating-point arithmetic and its importance for cryptography.
Marius Iulian Mihailescu, Stefania Loredana Nita   +1 more
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Roundings in floating point arithmetic

1972 IEEE 2nd Symposium on Computer Arithmetic (ARITH), 1972
In this paper we discuss directed roundings and indicate how hardware might be designed to produce proper upward-directed, downward-directed, and certain commonly used symmetric roundings. Algorithms for the four binary arithmetic operations and for rounding are presented, together with proofs of their correctness; appropriate formulas for a priori ...
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