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CEXP(3)                FreeBSD Library Functions Manual                CEXP(3)

NAME
     cexp, cexpf - complex exponential functions

LIBRARY
     Math Library (libm, -lm)

SYNOPSIS
     #include <complex.h>

     double complex
     cexp(double complex z);

     float complex
     cexpf(float complex z);

DESCRIPTION
     The cexp() and cexpf() functions compute the complex exponential of z,
     also known as cis(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 NaNs are handled as would be
     expected from this identity given the usual rules of floating-point
     arithmetic.  However, care is taken to avoid generating NaNs when they
     are not deserved.  For example, mathematically we expect that
     cimag(cexp(x + I*0)) = 0 regardless of the value of x, and cexp()
     preserves this identity even if x is infinity or NaN.  Likewise,
     cexp(-infinity + I*y) = 0 and creal(cexp(infinity + I*y)) = infinity for
     any y (even though the latter property is only mathematically true for
     representable y.) If y is not finite, the sign of the result is
     indeterminate.

SEE ALSO
     complex(3), exp(3), math(3),

STANDARDS
     The cexp() and cexpf() functions conform to ISO/IEC 9899:1999
     (``ISO C99'').

FreeBSD 11.0-PRERELEASE          March 6, 2011         FreeBSD 11.0-PRERELEASE

NAME | LIBRARY | SYNOPSIS | DESCRIPTION | RETURN VALUES | SEE ALSO | STANDARDS

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