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An Effective Floating-Point Reciprocal
2018 IEEE 4th International Symposium on Wireless Systems within the International Conferences on Intelligent Data Acquisition and Advanced Computing Systems (IDAACS-SWS), 2018This paper describes a simple and accurate floating-point reciprocal algorithm based on two modified Newton-Raphson iterations with a magic constant as the initial approximation. It can be effectively implemented on platforms with no FPU support since it uses just addition., multiplication and fused multiply-add operations.
Leonid V. Moroz +2 more
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Decimal Floating-Point Multiplication
IEEE Transactions on Computers, 2009Decimal multiplication is important in many commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents the design of two decimal floating-point multipliers: one whose partial product accumulation strategy employs decimal carry-save addition and one that employs ...
Mark A. Erle +2 more
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Floating point micropipeline performance
Journal of Systems Architecture, 1998Abstract Recent superscalar computer chips implement complex pipelines using independent integer and floating-point units (FPUs). Floating-point performance is critical for many engineering and scientific applications and good floating-point performance requires hardware resources that occupy a major portion of the chip area.
Shlomo Weiss, A. Goldstein
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Floating-point behavioral synthesis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2001Traditionally, the data processed by a synthesized digital design is fixed (occasionally variable) width integer, and the functional units available are concomitantly simple ladders, subtractors, multipliers, multiplexers, and so on). The aims of paper work are two-fold: 1) to provide a library of high-level floating-point functions (trigonometric ...
Zaher Abdulkarim Baidas +2 more
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Customising floating-point designs
Proceedings. 10th Annual IEEE Symposium on Field-Programmable Custom Computing Machines, 2003This paper describes a method for customising the representation of floating-point numbers that exploits the flexibility of reconfigurable hardware. The method determines the appropriate size of mantissa and exponent for each operation in a design, so that a cost function with a given error specification for the output relative to a reference ...
Altaf Abdul Gaffar +3 more
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Multiplications of floating point expansions
Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No.99CB36336), 2003In modern computers, the floating point unit is the part of the processor delivering the highest computing power and getting most attention from the design team. Performance of any multiple precision application will be dramatically enhanced by adequate use of floating point expansions.
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The MC68881 Floating-point Coprocessor
IEEE Micro, 1983This device, a hardware implementation of the proposed IEEE floating-point standard, can operate as a coprocessor on a 32-bit bus or as a peripheral on an 8- or 16-bit bus.
Clayton Huntsman, Duane Cawthron
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Handling of floating point exceptions
Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software on -, 1978An IEEE subcommittee on the standardization of microprocessor floating point arithmetic has a proposal under discussion. Part of that proposal concerns overflow and underflow exceptions. The proposal calls for a “gradual” underflow implemented with demoralized numbers.
Thomas W. Eggers +2 more
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Software: Practice and Experience, 1991
AbstractA floating‐point‐number‐oriented LISP has been developed. Though it performs type checking on every numeric operation, it runs as fast as Fortran for simple differential‐equation problems. This paper describes the implementation, provides some measurements of its efficiency, and discusses the feasibility of this type of implementation.
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AbstractA floating‐point‐number‐oriented LISP has been developed. Though it performs type checking on every numeric operation, it runs as fast as Fortran for simple differential‐equation problems. This paper describes the implementation, provides some measurements of its efficiency, and discusses the feasibility of this type of implementation.
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Mathematics and Computers in Simulation, 1996
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