137 lines
3.6 KiB
Groff
137 lines
3.6 KiB
Groff
.\" Copyright (c) 1985, 1991 Regents of the University of California.
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\" 3. All advertising materials mentioning features or use of this software
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.\" must display the following acknowledgement:
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.\" This product includes software developed by the University of
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.\" California, Berkeley and its contributors.
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.\" 4. Neither the name of the University nor the names of its contributors
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.\" may be used to endorse or promote products derived from this software
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.\" without specific prior written permission.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)hypot.3 6.7 (Berkeley) 5/6/91
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.\" %FreeBSD: src/lib/msun/man/hypot.3,v 1.5.2.3 2001/12/17 10:08:36 ru Exp %
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.\"
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.\" $FreeBSD$
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.Dd May 6, 1991
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.Dt HYPOT 3
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.Os BSD 4
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.Sh ̾¾Î
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.Nm hypot ,
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.Nm hypotf ,
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.Nm cabs ,
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.Nm cabsf
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.Sh ¥é¥¤¥Ö¥é¥ê
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.Lb libm
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.Nd ¥æ¡¼¥¯¥ê¥Ã¥Éµ÷Î¥¤ÈÊ£ÁÇÀäÂÐÃÍ´Ø¿ô
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.Sh ½ñ¼°
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.In math.h
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.Ft double
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.Fn hypot "double x" "double y"
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.Ft float
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.Fn hypotf "float x" "float y"
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.Vt struct {double x, y;} z ;
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.Ft double
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.Fn cabs z
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.Vt struct {float x, y;} z ;
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.Ft float
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.Fn cabsf z
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.Sh ²òÀâ
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.Fn hypot ,
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.Fn hypotf ,
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.Fn cabs ,
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¤ª¤è¤Ó
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.Fn cabsf
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´Ø¿ô¤Ï¡¢¥¢¥ó¥À¥Õ¥í¡¼¤¬
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µ¯¤¤º¡¢ºÇ½ª·ë²Ì¤Ç¥ª¡¼¥Ð¥Õ¥í¡¼¤¬µ¯¤³¤ë¾ì¹ç¤Î¤ß¥ª¡¼¥Ð¥Õ¥í¡¼¤¹¤ëÊýË¡¤Ç
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sqrt(x*x+y*y)
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¤ò·×»»¤·¤Þ¤¹¡£
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.Pp
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.Fn hypot "\*(If" "v"
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¤¢¤ë¤¤¤Ï
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.Fn hypot "v" "\*(If"
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¤Ï¡¢Á´¤Æ¤Î
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.Ar v
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¤ËÂФ·¤Æ¡¢\*(Na ¤ò´Þ¤à +\*(If ¤Ë¤Ê¤ê¤Þ¤¹¡£
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.Sh ¸íº¹ ( Roundoff Åù¤Ë´ð¤Å¤¯ )
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0.97
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.Em ulps
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°Ê²¼¡£
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¤½¤Î·ë²Ì¡¢
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´°Á´¤Ê
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.Fn hypot "5.0" "12.0"
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= 13.0
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¤È¤Ê¤ë¡£Ä̾hypot ¤È cabs ¤ÏÀ°¿ôÃͤ¬µá¤á¤é¤ì¤ë»þ¤Ë¤Ïɬ¤ºÀ°¿ô¤òÊÖ¤·¤Þ¤¹¡£
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.Pp
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cabs.c ¤ÎÃí¼á¤Ë¤¢¤ëû½Ì¡¢¤«¤Ä¹â®ÈǤΠhypot ¤È cabs ¤Ë¤Ä¤¤¤Æ¤ÏÎã³°¤È¤Ê¤ê¡¢
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¸íº¹¤Ï 1.2
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.Em ulps
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¤òĶ¤¹¤³¤È¤¬¤¢¤ê¤Þ¤¹¡£
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.Sh Ãí
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ÁÛÄêÄ̤ꡢ
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.Fn hypot "v" "\*(Na"
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¤È
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.Fn hypot "\*(Na" "v"
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¤Ï
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.Em Á´Í¸Â¿ô
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.Ar v
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¤ËÂФ·¤Æ
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\*(Na
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¤È¤Ê¤ê¤Þ¤¹¡£
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"reserved operand" ¤¬ "\*(Na" ¤ËÃÖ¤´¹¤ï¤ì¤Ð¡¢
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.Tn VAX
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¤Ç¤âƱ¤¸·ë²Ì¤Ë¤Ê¤ê¤Þ¤¹¡£
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.Tn VAX
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°Ê³°¤Î¥Þ¥·¥ó ( ¤â¤·Ìµ¸Â¿ô¤¬Ìµ¤±¤ì¤Ð ) ¤Î¥×¥í¥°¥é¥Þ¤Ï
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.Fn hypot "\(+-\*(If" "\*(Na"
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= +\*(If
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¤Ë½é¤á¤Ï¶Ã¤¯¤«¤â¤·¤ì¤Þ¤»¤ó¡£
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¤³¤ì¤Ï°Õ¿ÞŪ¤Ê¤â¤Î¤Ç¤¢¤ê¡¢Ìµ¸Â¡¢Í¸Â¤Ë´Ø·¸¤Ê¤¯¡¢
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.Em ¤¹¤Ù¤Æ¤Î
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.Ar v
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¤Ë¤Ä¤¤¤Æ
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.Fn hypot "\*(If" "v"
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= +\*(If
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¤Ç¤¢¤ë¤¿¤á¤Ëµ¯¤³¤ê¤Þ¤¹¡£
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¤·¤¿¤¬¤Ã¤Æ¡¢
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.Fn hypot "\*(If" "v"
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¤Ï¡¢
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.Ar v
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¤È¤ÏÆÈΩ¤·¤¿ÃͤǤ¹¡£
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.Tn VAX
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¤Ç¤ÎͽÌ󥪥ڥé¥ó¥É¥Õ¥©¥ë¥È¤È¤Ï°Û¤Ê¤ê¡¢
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.Tn IEEE
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\*(Na ¤Ï
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.Fn hypot "\*(If" "\*(Na"
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¤Ë¤ª¤¤¤ÆƱÍͤˡ¢Ìµ´Ø·¸¤Ë¤Ê¤ë¤È
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¾Ã¼º¤·¤Þ¤¹¡£
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.Sh ´ØÏ¢¹àÌÜ
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.Xr math 3 ,
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.Xr sqrt 3
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.Sh Îò»Ë
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.Fn hypot
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´Ø¿ô¤È
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.Fn cabs
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´Ø¿ô¤Ï¤É¤Á¤é¤â
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.At v7
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¤«¤éÅо줷¤Þ¤·¤¿¡£
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