Results 241 to 250 of about 641,208 (284)
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Multiprecision floating point addition
Proceedings of the 2000 international symposium on Symbolic and algebraic computation, 2000An efficient algorithm is presented that returns the exactly rounded sum of two multiprecision floating point numbers. Depending on the input signs and exponents the algorithm distinguishes five cases. In each case, the method minimizes the number of computer words that are subject to de-normalization, addition or subtraction, and normalization.
George E. Collins, Werner Krandick
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Iterative Refinement in Floating Point
Journal of the ACM, 1967Iterative refinement reduces the roundoff errors in the computed solution to a system of linear equations. Only one step requires higher precision arithmetic. If sufficiently high precision is used, the final result is shown to be very accurate.
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Accurate floating-point summation
Communications of the ACM, 1970This paper describes an alternate method for summing a set of floating-point numbers. Comparison of the error bound for this method with that of the standard summation method shows that it is considerably less sensitive to propagation of round-off error.
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Floating point arithmetic on a RISC
Microprocessing and Microprogramming, 1988Abstract A set of high-speed floating point procedures for the newly proposed microcoded RISC system is presented. Their performance is compared to that of other RISC-type systems, to other microprocessors as well as mainframes. The performance is found to be competitive and in some cases--exceeding that of other systems.
Jean M. Davila +2 more
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On Floating‐Point Normal Vectors
Computer Graphics Forum, 2010AbstractIn this paper we analyze normal vector representations. We derive the error of the most widely used representation, namely 3D floating‐point normal vectors. Based on this analysis, we show that, in theory, the discretization error inherent to single precision floating‐point normals can be achieved by 250.2 uniformly distributed normals ...
Quirin Meyer +4 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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A floating point unit for the 68040
Proceedings., 1990 IEEE International Conference on Computer Design: VLSI in Computers and Processors, 2002The Motorola 68040 floating point unit (FPU) combines three independent state machines, two data paths, and over 100000 transistors to achieve 8-Mflops peak performance and over 3-Mflops Linpack double-precision performance at the introductory speed of 25 MHz.
Shawn McCloud +6 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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1986
So far throughout this introduction to assembly language programming we have only been concerned with integers, or whole numbers. As in the real world though, floating point numbers also exist in the machine code world. A floating point number is one that contains a decimal point (although in binary this is more correctly referred to as a ‘bicimal ...
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So far throughout this introduction to assembly language programming we have only been concerned with integers, or whole numbers. As in the real world though, floating point numbers also exist in the machine code world. A floating point number is one that contains a decimal point (although in binary this is more correctly referred to as a ‘bicimal ...
openaire +1 more source