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» The Case for a Redundant Format in Floating Point Arithmetic
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DAGSTUHL
2008
13 years 7 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...
TC
2010
13 years 3 months ago
Redundant-Digit Floating-Point Addition Scheme Based on a Stored Rounding Value
—Due to the widespread use and inherent complexity of floating-point addition, much effort has been devoted to its speedup via algorithmic and circuit techniques. We propose a ne...
Ghassem Jaberipur, Behrooz Parhami, Saeid Gorgin
CAV
2009
Springer
123views Hardware» more  CAV 2009»
13 years 9 months ago
On Using Floating-Point Computations to Help an Exact Linear Arithmetic Decision Procedure
We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisf...
David Monniaux
ARITH
2001
IEEE
13 years 9 months ago
Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
We give the results of our search for the worst cases for correct rounding of the major elementary functions in double precision floating-point arithmetic. These results allow the...
Vincent Lefèvre, Jean-Michel Muller
CC
1999
Springer
320views System Software» more  CC 1999»
13 years 9 months ago
Floating Point to Fixed Point Conversion of C Code
In processors that do not support floating-point instructions, using fixed-point arithmetic instead of floating-point emulation trades off computation accuracy for execution spe...
Andrea G. M. Cilio, Henk Corporaal