cexpf3
Complex exponential functions
Part of cexp(3).
Usage
double complex
float complex
long double
complex
Library
Math Library (libm, -lm)
Overview
The cexp(), cexpf(), and cexpl() functions compute the complex exponential of z, also known ascis( z).
Return values
For real numbers x and y, cexp() behaves according to Euler's formula:
cexp(x + I*y) =(e** x, *cos(y)) + ( I *e** x *sin( y))
Generally speaking, infinities, zeroes and s are handled as would be expected from this identity given the usual rules of floating-point arithmetic. However, care is taken to avoid generating s when they are not deserved. For example, mathematically we expect that cimag(cexp(x + I*0, Fc) = 0 regardless of the value ofx and cexp() preserves this identity even if, x is or . Likewise, cexp(- + I*y) = 0 and creal(cexp( + I*y, Fc) = for anyy (even though the latter property is only mathematically true for representable, y If, y is not finite, the sign of the result is indeterminate.
History
- FreeBSD 16.0-CURRENT (2026-10-27) to FreeBSD 13.3-RELEASE: the text shown here
- FreeBSD 13.2-RELEASE to FreeBSD 13.1-RELEASE
- FreeBSD 13.0-RELEASE
- FreeBSD 12.4-RELEASE
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- FreeBSD 9.0-RELEASE