New scalar and vector elementary functions for the IBM system/370
IBM Journal of Research and Development
An accurate elementary mathematical library for the IEEE floating point standard
ACM Transactions on Mathematical Software (TOMS)
What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Fast evaluation of elementary mathematical functions with correctly rounded last bit
ACM Transactions on Mathematical Software (TOMS)
Feasibility of “perfect” function evaluation
ACM SIGNUM Newsletter
Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
Fast Multiple-Precision Evaluation of Elementary Functions
Journal of the ACM (JACM)
More on Squaring and Multiplying Large Integers
IEEE Transactions on Computers
Hardware Designs for Exactly Rounded Elementary Functions
IEEE Transactions on Computers
A Continued-Fraction Analysis Of Trigonometric Argument Reduction
IEEE Transactions on Computers
Radian reduction for trigonometric functions
ACM SIGNUM Newsletter
IEEE Transactions on Computers - Special issue on computer arithmetic
Propagation of Roundoff Errors in Finite Precision Computations: A Semantics Approach
ESOP '02 Proceedings of the 11th European Symposium on Programming Languages and Systems
Static Analyses of the Precision of Floating-Point Operations
SAS '01 Proceedings of the 8th International Symposium on Static Analysis
Interval constraint solving for camera control and motion planning
ACM Transactions on Computational Logic (TOCL)
A Hardware Gaussian Noise Generator Using the Box-Muller Method and Its Error Analysis
IEEE Transactions on Computers
Semantics of roundoff error propagation in finite precision calculations
Higher-Order and Symbolic Computation
Standardization and testing of implementations of mathematical functions in floating point numbers
Programming and Computing Software
WALCOM '09 Proceedings of the 3rd International Workshop on Algorithms and Computation
VLIW coprocessor for IEEE-754 quadruple-precision elementary functions
ACM Transactions on Architecture and Code Optimization (TACO)
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The Table Maker's Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that have helped us to solve this problem for the double-precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double-precision format, for the most usual functions.