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.Dd August 7, 2008 .Dt CIMAG 3 .Os .Sh NAME .Nm cimag , cimagf , cimagl , .Nm conj , conjf , conjl , .Nm cproj , cprojf , cprojl , .Nm creal , crealf , creall .Nd "functions to manipulate complex numbers" .Sh LIBRARY .Lb libm .Sh SYNOPSIS n complex.h .Ft double .Fn cimag "double complex z" .Ft float .Fn cimagf "float complex z" .Ft "long double" .Fn cimagl "long double complex z" .Ft "double complex" .Fn conj "double complex z" .Ft "float complex" .Fn conjf "float complex z" .Ft "long double complex" .Fn conjl "long double complex z" .Ft "double complex" .Fn cproj "double complex z" .Ft "float complex" .Fn cprojf "float complex z" .Ft "long double complex" .Fn cprojl "long double complex z" .Ft double .Fn creal "double complex z" .Ft float .Fn crealf "float complex z" .Ft "long double" .Fn creall "long double complex z" .Sh DESCRIPTION Let .Sm off .Fa a + b * Em i .Sm on denote the complex number .Fa z .
p The .Fn creal functions return the real part .Fa a , and the .Fn cimag functions return the imaginary part .Fa b .
p The .Fn conj functions return the complex conjugate .Sm off .Fa a - b * Em i . .Sm on
p The .Fn cproj functions return the projection onto the Riemann sphere. If .Fa z contains an infinite component, then the result is .Fa \*(If \*(Pm 0 Ns * Ns Em i , where the (zero) imaginary part of the result has the same sign as .Fa b . Otherwise, the result is .Fa z .
p These functions do not signal any floating point exceptions. .Sh STANDARDS The .Fn cimag , .Fn conj , .Fn cproj , and .Fn creal functions conform to .St -isoC-99 . .Sh HISTORY The .Fn cimag , .Fn conj and .Fn creal functions first appeared in .Fx 5.3 . The .Fn cproj functions appeared in .Fx 8.0 .