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Showing content from https://dlmf.nist.gov/4.47 below:

§4.47 Approximations ‣ Computation ‣ Chapter 4 Elementary Functions

§4.47 Approximations Contents
  1. §4.47(i) Chebyshev-Series Expansions
  2. §4.47(ii) Rational Functions
  3. §4.47(iii) Padé Approximations
  4. §4.47(iv) Additional References
§4.47(i) Chebyshev-Series Expansions

Clenshaw (1962) and Luke (1975, Chapter 3) give 20D coefficients for ln , exp , sin , cos , tan , cot , arcsin , arctan , arcsinh . Schonfelder (1980) gives 40D coefficients for sin , cos , tan .

§4.47(ii) Rational Functions

Hart et al. (1968) give ln , exp , sin , cos , tan , cot , arcsin , arccos , arctan , sinh , cosh , tanh , arcsinh , arccosh . Precision is variable.

§4.47(iii) Padé Approximations

Luke (1975, Chapter 3) supplies real and complex approximations for ln , exp , sin , cos , tan , arctan , arcsinh . Precision is variable.

§4.47(iv) Additional References

See Luke (1975, pp. 288–289) and Luke (1969b, pp.74–76).

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