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+.\"	$OpenBSD: csqrt.3,v 1.3 2025/06/07 10:33:06 schwarze Exp $
+.\"
+.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+.\"
+.\" Permission to use, copy, modify, and distribute this software for any
+.\" purpose with or without fee is hereby granted, provided that the above
+.\" copyright notice and this permission notice appear in all copies.
+.\"
+.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+.\"
+.Dd $Mdocdate: June 7 2025 $
+.Dt CSQRT 3
+.Os
+.Sh NAME
+.Nm csqrt ,
+.Nm csqrtf ,
+.Nm csqrtl
+.Nd complex square root
+.Sh SYNOPSIS
+.Lb libm
+.In complex.h
+.Ft double complex
+.Fn csqrt "double complex z"
+.Ft float complex
+.Fn csqrtf "float complex z"
+.Ft long double complex
+.Fn csqrtl "long double complex z"
+.Sh DESCRIPTION
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions compute the complex square root of
+.Fa z .
+.Pp
+If
+.Fa z
+= x + iy, then
+.Bd -literal -offset indent
+Re csqrt(z) = [ (|z| + x) / 2 ]^(1/2).
+Im csqrt(z) = [ (|z| - x) / 2 ]^(1/2).
+.Ed
+.Pp
+Note that -csqrt(z) is also a square root of
+.Fa z .
+The root chosen
+is always in the right half plane and Im csqrt(z) has the same sign
+as y.
+.Sh RETURN VALUES
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions return the complex square root of
+.Fa z .
+.Sh SEE ALSO
+.Xr cpow 3
+.Sh STANDARDS
+The
+.Fn csqrt ,
+.Fn csqrtf
+and
+.Fn csqrtl
+functions conform to
+.St -isoC-99 .