Less complex elementary functions

  • Authors:
  • Henry G. Baker

  • Affiliations:
  • -

  • Venue:
  • ACM SIGPLAN Notices
  • Year:
  • 1992

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Abstract

The "textbook" definitions of complex elementary functions---e.g., sin(z)---are usually given in terms of formulae which involve complex operations. In this paper, we give formulae for complex elementary functions in which the real and imaginary parts can be computed separately using only real operations. Many of these formulae are obvious, but some---e.g., asin(z), acos(z), atan(z), asinh(z), acosh(z), atanh(z)---are not obvious and/or not well-known.