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cacos(3)                 BSD Library Functions Manual                 cacos(3)


NAME

     cacos -- complex inverse cosine function


SYNOPSIS

     double complex
     cacos(double complex z);

     long double complex
     cacosl(long double complex z);

     float complex
     cacosf(float complex z);


DESCRIPTION

     cacos(z) computes the inverse cosine of the complex floating-point number
     z, with branch cuts outside the interval [-1,1] along the real axis.

     cacos() returns values in a strip of the complex plane with unbounded
     imaginary part, and real part in the interval [0, Pi].

     For all complex floating point numbers z, cacos(conj(z)) =
     conj(cacos(z)).


SPECIAL VALUES

     The conjugate symmetry of cacos() is used to abbreviate the specification
     of special values.

     cacos(+-0 + 0i) returns Pi/2 - 0i.

     cacos(+-0 + NaN i) returns Pi/2 + NaN i.

     cacos(x + inf i) returns Pi/2 - inf i, for finite x.

     cacos(x + NaN i) returns NaN + NaN i, for finite nonzero x.

     cacos(-inf + yi) returns Pi - inf i, for finite positive-signed y.

     cacos(inf + yi) returns 0 - inf i, for finite positive-signed y.

     cacos(-inf + inf i) returns 3Pi/4 - inf i.

     cacos(inf + inf i) returns Pi/4 - inf i.

     cacos(+-inf + NaN i) returns NaN + inf i.

     cacos(NaN + yi) returns NaN + NaN i, for finite y.

     cacos(NaN + inf i) returns NaN - inf i.

     cacos(NaN + NaN i) returns NaN + NaN i.


NOTES


SEE ALSO

     complex(3)


STANDARDS

     The cacos() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution      December 11, 2006     4th Berkeley Distribution

Mac OS X 10.9.1 - Generated Tue Jan 7 07:24:05 CST 2014
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