On-the-fly conversion of redundant into conventional representations
IEEE Transactions on Computers
Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
Division and Square Root: Digit-Recurrence Algorithms and Implementations
Division and Square Root: Digit-Recurrence Algorithms and Implementations
On-the-Fly Rounding (Computing Arithmetic)
IEEE Transactions on Computers
A Continued-Fraction Analysis Of Trigonometric Argument Reduction
IEEE Transactions on Computers
Implementation and testing of function software
Problems and Methodologies in Mathematical Software Production, International Seminar
Radian reduction for trigonometric functions
ACM SIGNUM Newsletter
Software Manual for the Elementary Functions (Prentice-Hall series in computational mathematics)
Software Manual for the Elementary Functions (Prentice-Hall series in computational mathematics)
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In several cases, the input argument of an elementary function evaluation is given bit-serially, most significant bit first. We suggest a solution for performing the first step of the evaluation (namely, the range reduction) on the fly: the computation is overlapped with the reception of the input bits. This algorithm can be used for the trigonometric functions sin, cos, tan as well as for the exponential function.