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-.\" Copyright (c) 1985, 1991 Regents of the University of California.
-.\" All rights reserved.
-.\"
-.\" Redistribution and use in source and binary forms, with or without
-.\" modification, are permitted provided that the following conditions
-.\" are met:
-.\" 1. Redistributions of source code must retain the above copyright
-.\" notice, this list of conditions and the following disclaimer.
-.\" 2. Redistributions in binary form must reproduce the above copyright
-.\" notice, this list of conditions and the following disclaimer in the
-.\" documentation and/or other materials provided with the distribution.
-.\" 3. All advertising materials mentioning features or use of this software
-.\" must display the following acknowledgement:
-.\" This product includes software developed by the University of
-.\" California, Berkeley and its contributors.
-.\" 4. Neither the name of the University nor the names of its contributors
-.\" may be used to endorse or promote products derived from this software
-.\" without specific prior written permission.
-.\"
-.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
-.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
-.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-.\" SUCH DAMAGE.
-.\"
-.\" from: @(#)hypot.3 6.7 (Berkeley) 5/6/91
-.\" $FreeBSD: src/lib/msun/man/hypot.3,v 1.13 2005/01/14 23:28:28 das Exp $
-.\"
-.Dd January 14, 2005
-.Dt HYPOT 3
-.Os
-.Sh NAME
-.Nm hypot ,
-.Nm hypotf ,
-.Nm cabs ,
-.Nm cabsf
-.Nd Euclidean distance and complex absolute value functions
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In math.h
-.Ft double
-.Fn hypot "double x" "double y"
-.Ft float
-.Fn hypotf "float x" "float y"
-.In complex.h
-.Ft double
-.Fn cabs "double complex z"
-.Ft float
-.Fn cabsf "float complex z"
-.Sh DESCRIPTION
-The
-.Fn hypot
-and
-.Fn hypotf
-functions
-compute the
-sqrt(x*x+y*y)
-in such a way that underflow will not happen, and overflow
-occurs only if the final result deserves it.
-The
-.Fn cabs
-and
-.Fn cabsf
-functions compute the complex absolute value of
-.Fa z .
-.Pp
-.Fn hypot "\*(If" "v"
-=
-.Fn hypot "v" "\*(If"
-= +\*(If for all
-.Fa v ,
-including \*(Na.
-.Sh ERROR (due to Roundoff, etc.)
-Below 0.97
-.Em ulps .
-Consequently
-.Fn hypot "5.0" "12.0"
-= 13.0
-exactly;
-in general, hypot and cabs return an integer whenever an
-integer might be expected.
-.Pp
-The same cannot be said for the shorter and faster version of hypot
-and cabs that is provided in the comments in cabs.c; its error can
-exceed 1.2
-.Em ulps .
-.Sh NOTES
-As might be expected,
-.Fn hypot "v" "\*(Na"
-and
-.Fn hypot "\*(Na" "v"
-are \*(Na for all
-.Em finite
-.Fa v .
-But programmers
-might be surprised at first to discover that
-.Fn hypot "\(+-\*(If" "\*(Na"
-= +\*(If.
-This is intentional; it happens because
-.Fn hypot "\*(If" "v"
-= +\*(If
-for
-.Em all
-.Fa v ,
-finite or infinite.
-Hence
-.Fn hypot "\*(If" "v"
-is independent of
-.Fa v .
-Unlike the reserved operand fault on a
-.Tn VAX ,
-the
-.Tn IEEE
-\*(Na is designed to
-disappear when it turns out to be irrelevant, as it does in
-.Fn hypot "\*(If" "\*(Na" .
-.Sh SEE ALSO
-.Xr math 3 ,
-.Xr sqrt 3
-.Sh HISTORY
-Both a
-.Fn hypot
-function and a
-.Fn cabs
-function
-appeared in
-.At v7 .