5.9 References and Further Reading
The implementations of the elementary and trigonometric functions are
based on the following papers,
-
T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
"Implementing Complex Elementary Functions Using Exception
Handling", ACM Transactions on Mathematical Software, Volume 20
(1994), pp 215-244, Corrigenda, p553
-
T. E. Hull, Thomas F. Fairgrieve, Ping Tak Peter Tang,
"Implementing the complex arcsin and arccosine functions using exception
handling", ACM Transactions on Mathematical Software, Volume 23
(1997) pp 299-335
The general formulas and details of branch cuts can be found in the
following books,
-
Abramowitz and Stegun, Handbook of Mathematical Functions,
"Circular Functions in Terms of Real and Imaginary Parts", Formulas
4.3.55--58,
"Inverse Circular Functions in Terms of Real and Imaginary Parts",
Formulas 4.4.37--39,
"Hyperbolic Functions in Terms of Real and Imaginary Parts",
Formulas 4.5.49--52,
"Inverse Hyperbolic Functions -- relation to Inverse Circular Functions",
Formulas 4.6.14--19.
-
Dave Gillespie, Calc Manual, Free Software Foundation, ISBN
1-882114-18-3
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