IA-64 and elementary functions - speed and precision
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منابع مشابه
Formal Verification of Floating Point Trigonometric Functions
We have formal verified a number of algorithms for evaluating transcendental functions in double-extended precision floating point arithmetic in the Intel IA-64 architecture. These algorithms are used in the Itanium processor to provide compatibility with IA-32 (x86) hardware transcendentals, and similar ones are used in mathematical software libraries. In this paper we describe in some depth ...
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The IA-64 architecture provides new opportunities and challenges for implementing an improved set of transcendental functions. Using several novel polynomial-based table-driven techniques, we are able to provide new algorithms for the transcendental functions. Major improvements include an accuracy level of about 0.6 ulps (units in the last place) and forward trigonometric functions that have a...
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The ZM package is a collection of Fortran subroutines that performs floating point multiple precision evaluation of complex arithmetic and elementary functions. These routines use the FM package [7] for real multiple precision arithmetic, constants, and elementary functions. Brent’s MP package [4] did not support complex arithmetic, and Bailey’s more recent MP package [2,3] provides complex ari...
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FM is a package of Fortran subroutines which performs floating-point multiple-precision arithmetic. Many such packages have been written, and FM provides several improvements to previous packages in the areas of speed, accuracy, exception handling, and maintainability of the code. Brent’s MP package [6] is probably the most widely used of these packages at present, due to its greater functional...
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This paper examines the implementation of floating-point operations in the IA-64 architecture from the perspective of the IEEE Standard for Binary Floating-Point Arithmetic [1]. The floating-point data formats, operations, and special values are compared with the mandatory or recommended ones from the IEEE Standard, showing the potential gains in performance that result from specific choices. T...
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