CCOSH(3) BSD Library Functions Manual CCOSH(3)
NAME
ccosh -- complex hyperbolic cosine function
SYNOPSIS
double complex
ccosh(double complex z);
long double complex
ccoshl(long double complex z);
float complex
ccoshf(float complex z);
DESCRIPTION
ccos(z) computes the hyperbolic cosine of the complex floating-point number z.
For all complex floating point numbers z,
ccosh(conj(z)) = conj(ccosh(z)),
ccosh(-z) = ccosh(z).
SPECIAL VALUES
The symmetries of ccosh() are used to abbreviate the specification of special values.
ccosh(0 + 0i) returns 1 + 0i.
ccosh(0 + inf i) returns NaN + 0i, and raises the invalid flag.
ccosh(0 + NaN i) returns NaN + 0i.
ccosh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for finite nonzero x.
ccosh(x + NaN i) returns NaN + NaN i, for finite nonzero x.
ccosh(inf + 0i) returns inf + 0i.
ccosh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y) = cos(y) + i*sin(y).
ccosh(inf + inf i) returns inf + NaN i, and raises the invalid flag.
ccosh(inf + NaN i) returns inf + NaN i.
ccosh(NaN + 0i) returns NaN + 0i.
ccosh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.
ccosh(NaN + NaN i) returns NaN + NaN i.
NOTES
SEE ALSO
ccos(3) complex(3)
STANDARDS
The ccosh() function conforms to ISO/IEC 9899:1999(E).
4th Berkeley Distribution November 9, 2006 4th Berkeley Distribution
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