Common LISP: the language (2nd ed.)
Common LISP: the language (2nd ed.)
Handling of Complex Numbers in the $C^H$ Programming Language
Scientific Programming
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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.