A unified algorithm for elementary functions

作者: J. S. Walther

DOI: 10.1145/1478786.1478840

关键词: Hyperbolic functionInverse trigonometric functionsInverse hyperbolic functionElementary functionAlgorithmCoordinate systemFunction (mathematics)CORDICMathematicsMultiplication

摘要: This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, In, exp and square-root. The basis is coordinate rotation in linear, circular, or hyperbolic system depending on which function to be calculated. only operations required are shifting, adding, subtracting recall prestored constants. limited domain convergence calculated, leading discussion modifications extend floating point calculations.

参考文章(2)
Jack E. Volder, The CORDIC Trigonometric Computing Technique Ire Transactions on Electronic Computers. ,vol. 8, pp. 330- 334 ,(1959) , 10.1109/TEC.1959.5222693
D. H. Daggett, Decimal-Binary Conversions in CORDIC Ire Transactions on Electronic Computers. ,vol. 8, pp. 335- 339 ,(1959) , 10.1109/TEC.1959.5222694