209 lines
4.8 KiB
Groff
209 lines
4.8 KiB
Groff
.\" Copyright (c) 1991 The 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: @(#)atan2.3 5.1 (Berkeley) 5/2/91
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.\" %FreeBSD: src/lib/msun/man/atan2.3,v 1.6.2.4 2001/12/17 10:08:36 ru Exp %
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.\"
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.\" $FreeBSD$
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.Dd May 2, 1991
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.Dt ATAN2 3
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.Os
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.Sh ̾¾Î
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.Nm atan2 ,
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.Nm atan2f
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.Nd 2 ¤Ä¤ÎÊÑ¿ô¤ÎµÕÀµÀÜ´Ø¿ô
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.Sh ¥é¥¤¥Ö¥é¥ê
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.Lb libm
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.Sh ½ñ¼°
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.Fd #include <math.h>
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.Ft double
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.Fn atan2 "double y" "double x"
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.Ft float
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.Fn atan2f "float y" "float x"
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.Sh ²òÀâ
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.Fn atan2
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´Ø¿ô¤È
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.Fn atan2f
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´Ø¿ô¤Ï¡¢
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.Fa y/ Ns Ar x
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¤ÎµÕÀµÀܤμçÃͤò·×»»¤·¤Þ¤¹¡£¤½¤ÎºÝ¡¢
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ξÊý¤Î°ú¿ô¤ÎÉä¹æ¤ò»ÈÍѤ·¤ÆÌá¤êÃͤξݸ¤òȽÄꤷ¤Þ¤¹¡£
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.Pp
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.Sh Ìá¤êÃÍ
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.Fn atan2
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´Ø¿ô¤È
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.Fn atan2f
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´Ø¿ô¤Ï¡¢½èÍý¤¬À®¸ù¤¹¤ë¤È¡¢ÈÏ°Ï
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.Bk -words
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.Bq \&- Ns \*(Pi , \&+ Ns \*(Pi
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.Ek
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¤Î¥é¥¸¥¢¥ó¤Ç¡¢
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.Fa y/ Ns Ar x
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¤ÎµÕÀµÀܤòÊÖ¤·¤Þ¤¹¡£
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.Fa x
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¤È
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.Fa y
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¤ÎξÊý¤¬ 0 ¤Î¾ì¹ç¡¢
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¥°¥í¡¼¥Ð¥ëÊÑ¿ô
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.Va errno
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¤¬
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.Er EDOM
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¤ËÀßÄꤵ¤ì¤Þ¤¹¡£
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.Tn VAX
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¤Ç¤Ï¼¡¤Î¤È¤ª¤ê¤Ç¤¹¡£
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.Bl -column atan2_(y,x)_:=____ sign(y)_(Pi_atan2(Xy_xX))___
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.It Fn atan2 y x No := Ta
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.Fn atan y/x Ta
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.Ar x
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> 0
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¤Î¾ì¹ç
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.It Ta sign( Ns Ar y Ns )*(\*(Pi -
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.Fn atan "\\*(Bay/x\\*(Ba" ) Ta
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.Ar x
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< 0
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¤Î¾ì¹ç
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.It Ta
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.No 0 Ta
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x = y = 0
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¤Î¾ì¹ç¡¢
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.It Ta
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.Pf sign( Ar y Ns )*\\*(Pi/2 Ta
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.Ar x
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= 0 \(!=
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.Ar y
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¤Î¾ì¹ç
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.El
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.Sh Ãí
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´Ø¿ô
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.Fn atan2
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¤Ï
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.Tn VAX
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¤Ç ``x > 0 ¤Î¾ì¹ç''¡¢
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.Fn atan2 0 0
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= 0
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¤òÄêµÁ¤·¤Þ¤¹¡£°ÊÁ°¤Ï
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.Fn atan2 0 0
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¤Ï¥¨¥é¡¼¥á¥Ã¥»¡¼¥¸¤òÀ¸À®¤·¤Æ¤¤¤¿
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²ÄǽÀ¤¬¤¢¤ë¤Ë¤â¤«¤«¤ï¤é¤º¤Ç¤¹¡£
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.Fn atan2 0 0
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¤ËÃͤò³ä¤êÅö¤Æ¤ëÍýͳ¤Ï¼¡¤Î¤È¤ª¤ê¤Ç¤¹¡£
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.Bl -enum -offset indent
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.It
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.Fn atan2 0 0
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¤Î·×»»¤ò²óÈò¤¹¤ë¤¿¤á¤Ë°ú¿ô¤ò¥Æ¥¹¥È¤¹¤ë¥×¥í¥°¥é¥à¤Ï¡¢¤³¤ÎÃͤË
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̵´Ø·¸¤Ç¤¢¤ëɬÍפ¬¤¢¤ê¤Þ¤¹¡£¤³¤ì¤¬Ìµ¸ú¤Ç¤¢¤ë¤³¤È¤òÍ׵᤹¤ë¥×¥í¥°¥é¥à¤Ï¡¢
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¤µ¤Þ¤¶¤Þ¤Ê¥³¥ó¥Ô¥å¡¼¥¿¥·¥¹¥Æ¥à¾å¤Ç¤³¤ì¤¬Ìµ¸ú¤Ç¤¢¤ë¤³¤È¤ËÂФ¹¤ë¤µ¤Þ¤¶¤Þ¤Ê
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È¿±þ¤ËÂФ·Àȼå¤Ç¤¹¡£
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.It
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.Fn atan2
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´Ø¿ô¤Ï¡¢¶ë·Á
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(x,y)
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¤ò¡¢¶ËºÂɸ
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.if n\
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(r,theta)
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.if t\
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(r,\(*h)
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¤ËÊÑ´¹¤¹¤ë¤¿¤á¤ËºÇ¤âÎɤ¯»ÈÍѤµ¤ì¤Þ¤¹¡£¤³¤ÎºÂɸ¤Ï¡¢
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.if n\
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r\(**cos theta
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.if t\
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r\(**cos\(*h
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¤ª¤è¤Ó
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y =
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.if n\
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r\(**sin theta
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.if t\
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r\(**sin\(*h
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¤òËþ¤¿¤·¤Þ¤¹¡£
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.if n\
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(r,theta)
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.if t\
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¤³¤ì¤é¤ÎÅù¼°¤¬
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Ëþ¤¿¤µ¤ì¤ë¤Î¤Ï¡¢(x=0,y=0) ¤¬
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.Tn VAX
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¤Ç
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.if n \
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(r=0,theta=0)
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.if t \
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(r=0,\(*h=0)
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¤Ë¥Þ¥Ã¥×¤µ¤ì¤ë¤È¤¤Ç¤¹¡£
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°ìÈ̤ˡ¢¶ËºÂɸ¤Ø¤ÎÊÑ´¹¤Ï¼¡¤Î¤è¤¦¤Ë¤·¤Æ·×»»¤¹¤ëɬÍפ¬¤¢¤ê¤Þ¤¹¡£
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.Bd -unfilled -offset indent
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.if n \{\
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r := hypot(x,y); ... := sqrt(x\(**x+y\(**y)
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theta := atan2(y,x)
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.\}
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.if t \{\
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r := hypot(x,y); ... := \(sr(x\u\s82\s10\d+y\u\s82\s10\d)
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theta := atan2(y,x)
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.\}
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.\"XX .XX sqrt x*x+y*y
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.Ed
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.It
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¾åµ¤Î¸ø¼°¤Ï¡¢
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.Tn IEEE 754
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¤Ë½àµò¤¹¤ë¥Þ¥·¥ó¤Ç¤ÏÉä¹æÉÕ¤¤Î 0 ¤ª¤è¤Ó̵¸Â¤Ë¡¢
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¹çÍýŪ¤ÊÊýË¡¤Ç¡¢Âн褷¤è¤¦¤ÈÊѹ¹¤¹¤ëɬÍפϤ¢¤ê¤Þ¤»¤ó¡£¤½¤Î¤è¤¦¤Ê¥Þ¥·¥óÍѤË
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Ä󶡤µ¤ì¤Æ¤¤¤ë
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.Xr hypot 3
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¤È
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.Fn atan2
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¤Ï¤¹¤Ù¤Æ¤Î¥±¡¼¥¹¤ò½èÍý¤¹¤ë¤è¤¦
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À߷פµ¤ì¤Æ¤¤¤Þ¤¹¡£¤³¤ì¤¬¤¿¤È¤¨¤Ð
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.Fn atan2 \(+-0 \-0
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= \(+-\*(Pi
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¤Ç¤¢¤ëÍýͳ¤Ç¤¹¡£°ìÈ̤ˡ¢
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¾åµ¤Î¸ø¼°¤Ï¼¡¤Î¤â¤Î¤ÈƱÅù¤Ç¤¹¡£
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.Bd -unfilled -offset indent
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.if n \
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r := sqrt(x\(**x+y\(**y); r =0 ¤Î¾ì¹ç¤Ï¡¢x := copysign(1,x);
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.if t \
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r := \(sr(x\(**x+y\(**y);\0\0 r =0 ¤Î¾ì¹ç¤Ï¡¢x := copysign(1,x);
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.Ed
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.El
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.Sh ´ØÏ¢¹àÌÜ
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.Xr acos 3 ,
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.Xr asin 3 ,
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.Xr atan 3 ,
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.Xr cos 3 ,
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.Xr cosh 3 ,
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.Xr math 3 ,
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.Xr sin 3 ,
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.Xr sinh 3 ,
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.Xr tan 3 ,
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.Xr tanh 3
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.Pp
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.Sh µ¬³Ê
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.Fn atan2
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´Ø¿ô¤Ï
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.St -isoC
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¤ËŬ¹ç¤·¤Æ¤¤¤Þ¤¹¡£
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.\"X kuma
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