New scalar and vector elementary functions for the IBM system/370
IBM Journal of Research and Development
Accurate and efficient testing of the exponential and logarithm functions
ACM Transactions on Mathematical Software (TOMS)
Computation of elementary functions on the IBM RISC System/6000 processor
IBM Journal of Research and Development
Table-driven implementation of the logarithm function in IEEE floating-point arithmetic
ACM Transactions on Mathematical Software (TOMS)
Table-driven implementation of the exponential function in IEEE floating-point arithmetic
ACM Transactions on Mathematical Software (TOMS)
Elementary functions packages for Ada
SIGAda '87 Proceedings of the 1987 annual ACM SIGAda international conference on Ada
A Fortran Multiple-Precision Arithmetic Package
ACM Transactions on Mathematical Software (TOMS)
Environment Parameters and Basic Functions for Floating-Point Computation
ACM Transactions on Mathematical Software (TOMS)
Computing Elementary Functions: A New Approach for Achieving High Accuracy and Good Performance
Proceedings of the Symposium on Accurate Scientific Computations
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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A comprehensive set of elementary functions has been implemented portably in Ada. The high accuracy of the implementation has been confirmed by rigorous analysis. Moreover, we present new test methods that are efficient and offer a high resolution of 0.005 unit in the last place. These test methods have been implemented portably here and confirm the accuracy of our implemented functions. Reports on the accuracy of other function libraries obtained by our test programs are also presented.