CSQRT(3) BSD Library Functions Manual CSQRT(3)

NAME
     ccssqqrrtt - complex square root function

SYNOPSIS
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     double complex
     ccssqqrrtt(double complex z);

     long double complex
     ccssqqrrttll(long double complex z);

     float complex
     ccssqqrrttff(float complex z);

DESCRIPTION
     ccssqqrrtt(z) computes the square root of the complex floating-point number z,
     with a branch cut on the negative real axis.  The result is in the right
     half-plane, including the imaginary axis.  For all complex z,
     csqrt(conj(z)) = conj(csqrt(z)).

SSPPEECCIIAALL VVAALLUUEESS
     The conjugate symmetry of csqrt() is used to abbreviate the specification
     of special values.

     ccssqqrrtt(+-0 + 0i) returns +0 + 0i.

     ccssqqrrtt(x + inf i) returns inf + inf i for all x (including NaN).

     ccssqqrrtt(x + NaN i) returns NaN + NaN i.

     ccssqqrrtt(-inf + yi) returns 0 + inf i for any positively-signed finite y.

     ccssqqrrtt(inf + yi) returns inf + 0i for any positively-signed finite y.

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

     ccssqqrrtt(inf + NaN i) returns inf + NaN i.

     ccssqqrrtt(NaN + yi) returns NaN + NaN i.

     ccssqqrrtt(NaN + NaN i) returns NaN + NaN i.

NNOOTTEESS
     If z is in the upper half-plane, then ccssqqrrtt(z) is in the upper-right
     quadrant of the complex plane.  If z is in the lower half-plane, then
     ccssqqrrtt(z) is in the lower-right quadrant of the complex plane.

SEE ALSO
     complex(3)

STANDARDS     The ccssqqrrtt() function conforms to ISO/IEC 9899:1999(E).

4th Berkeley Distribution      October 10, 2006      4th Berkeley Distribution