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» An Application of Abstract Interpretation to Floating Point ...
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ASAP
2006
IEEE
127views Hardware» more  ASAP 2006»
13 years 9 months ago
A Cost Effective Pipelined Divider for Double Precision Floating Point Number
Abstract--The growth of high-performance application in computer graphics, signal processing and scientific computing is a key driver for high performance, fixed latency, pipelined...
Sandeep B. Singh, Jayanta Biswas, S. K. Nandy
ERSA
2006
129views Hardware» more  ERSA 2006»
13 years 8 months ago
Group-Alignment based Accurate Floating-Point Summation on FPGAs
Floating-point summation is one of the most important operations in scientific/numerical computing applications and also a basic subroutine (SUM) in BLAS (Basic Linear Algebra Sub...
Chuan He, Guan Qin, Mi Lu, Wei Zhao
MKM
2009
Springer
14 years 1 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...
ICIP
2006
IEEE
14 years 9 months ago
Anisotropic Gaussian Filtering using Fixed Point Arithmetic
Gaussian filtering in one, two or three dimensions is among the most commonly needed tasks in signal and image processing. Finite impulse response filters in the time domain with ...
Christoph H. Lampert, Oliver Wirjadi
ARITH
2007
IEEE
14 years 1 months ago
Optimistic Parallelization of Floating-Point Accumulation
Abstract— Floating-point arithmetic is notoriously nonassociative due to the limited precision representation which demands intermediate values be rounded to fit in the availabl...
Nachiket Kapre, André DeHon