mirror of git://sourceware.org/git/glibc.git
Incorporated from BSD 4.4-Lite.
This commit is contained in:
Roland McGrath
parent
2877215c6d
commit
d28c806948
60
inet/rexec.c
60
inet/rexec.c
|
|
@ -1,22 +1,38 @@
|
|||
/*
|
||||
* Copyright (c) 1980 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1980, 1993
|
||||
* The Regents of the University of California. All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms are permitted
|
||||
* provided that the above copyright notice and this paragraph are
|
||||
* duplicated in all such forms and that any documentation,
|
||||
* advertising materials, and other materials related to such
|
||||
* distribution and use acknowledge that the software was developed
|
||||
* by the University of California, Berkeley. The name of the
|
||||
* University may not be used to endorse or promote products derived
|
||||
* from this software without specific prior written permission.
|
||||
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR
|
||||
* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
|
||||
* WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
|
||||
* 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.
|
||||
*/
|
||||
|
||||
#if defined(LIBC_SCCS) && !defined(lint)
|
||||
static char sccsid[] = "@(#)rexec.c 5.5 (Berkeley) 6/27/88";
|
||||
static char sccsid[] = "@(#)rexec.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* LIBC_SCCS and not lint */
|
||||
|
||||
#include <sys/types.h>
|
||||
|
|
@ -39,15 +55,15 @@ rexec(ahost, rport, name, pass, cmd, fd2p)
|
|||
char *name, *pass, *cmd;
|
||||
int *fd2p;
|
||||
{
|
||||
int s, timo = 1, s3;
|
||||
struct sockaddr_in sin, sin2, from;
|
||||
char c;
|
||||
short port;
|
||||
struct hostent *hp;
|
||||
u_short port;
|
||||
int s, timo = 1, s3;
|
||||
char c;
|
||||
|
||||
hp = gethostbyname(*ahost);
|
||||
if (hp == 0) {
|
||||
fprintf(stderr, "%s: unknown host\n", *ahost);
|
||||
herror(*ahost);
|
||||
return (-1);
|
||||
}
|
||||
*ahost = hp->h_name;
|
||||
|
|
@ -61,7 +77,7 @@ retry:
|
|||
sin.sin_family = hp->h_addrtype;
|
||||
sin.sin_port = rport;
|
||||
bcopy(hp->h_addr, (caddr_t)&sin.sin_addr, hp->h_length);
|
||||
if (connect(s, &sin, sizeof(sin)) < 0) {
|
||||
if (connect(s, (struct sockaddr *)&sin, sizeof(sin)) < 0) {
|
||||
if (errno == ECONNREFUSED && timo <= 16) {
|
||||
(void) close(s);
|
||||
sleep(timo);
|
||||
|
|
@ -85,17 +101,17 @@ retry:
|
|||
}
|
||||
listen(s2, 1);
|
||||
sin2len = sizeof (sin2);
|
||||
if (getsockname(s2, (char *)&sin2, &sin2len) < 0 ||
|
||||
if (getsockname(s2, (struct sockaddr *)&sin2, &sin2len) < 0 ||
|
||||
sin2len != sizeof (sin2)) {
|
||||
perror("getsockname");
|
||||
(void) close(s2);
|
||||
goto bad;
|
||||
}
|
||||
port = ntohs((u_short)sin2.sin_port);
|
||||
(void) sprintf(num, "%d", port);
|
||||
(void) sprintf(num, "%u", port);
|
||||
(void) write(s, num, strlen(num)+1);
|
||||
{ int len = sizeof (from);
|
||||
s3 = accept(s2, &from, &len);
|
||||
s3 = accept(s2, (struct sockaddr *)&from, &len);
|
||||
close(s2);
|
||||
if (s3 < 0) {
|
||||
perror("accept");
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1989 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1989, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#if defined(LIBC_SCCS) && !defined(lint)
|
||||
static char sccsid[] = "@(#)getttyent.c 5.10 (Berkeley) 3/23/91";
|
||||
static char sccsid[] = "@(#)getttyent.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* LIBC_SCCS and not lint */
|
||||
|
||||
#include <ttyent.h>
|
||||
|
|
@ -108,10 +108,6 @@ getttyent()
|
|||
tty.ty_status |= TTY_ON;
|
||||
else if (scmp(_TTYS_SECURE))
|
||||
tty.ty_status |= TTY_SECURE;
|
||||
else if (scmp(_TTYS_TRUSTED))
|
||||
tty.ty_status |= TTY_TRUSTED;
|
||||
else if (scmp(_TTYS_CONSOLE))
|
||||
tty.ty_status |= TTY_CONSOLE;
|
||||
else if (vcmp(_TTYS_WINDOW))
|
||||
tty.ty_window = value(p);
|
||||
else
|
||||
|
|
|
|||
11
misc/paths.h
11
misc/paths.h
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1989 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1989, 1993
|
||||
* The 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
|
||||
|
|
@ -30,7 +30,7 @@
|
|||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||||
* SUCH DAMAGE.
|
||||
*
|
||||
* @(#)paths.h 5.15 (Berkeley) 5/29/91
|
||||
* @(#)paths.h 8.1 (Berkeley) 6/2/93
|
||||
*/
|
||||
|
||||
#ifndef _PATHS_H_
|
||||
|
|
@ -38,6 +38,9 @@
|
|||
|
||||
/* Default search path. */
|
||||
#define _PATH_DEFPATH "/usr/bin:/bin"
|
||||
/* All standard utilities path. */
|
||||
#define _PATH_STDPATH \
|
||||
"/usr/bin:/bin:/usr/sbin:/sbin:/usr/contrib/bin:/usr/old/bin"
|
||||
|
||||
#define _PATH_BSHELL "/bin/sh"
|
||||
#define _PATH_CONSOLE "/dev/console"
|
||||
|
|
@ -51,6 +54,7 @@
|
|||
#define _PATH_MEM "/dev/mem"
|
||||
#define _PATH_NOLOGIN "/etc/nologin"
|
||||
#define _PATH_SENDMAIL "/usr/sbin/sendmail"
|
||||
#define _PATH_SHELLS "/etc/shells"
|
||||
#define _PATH_TTY "/dev/tty"
|
||||
#define _PATH_UNIX "/vmunix"
|
||||
#define _PATH_VI "/usr/bin/vi"
|
||||
|
|
@ -58,6 +62,7 @@
|
|||
/* Provide trailing slash, since mostly used for building pathnames. */
|
||||
#define _PATH_DEV "/dev/"
|
||||
#define _PATH_TMP "/tmp/"
|
||||
#define _PATH_VARDB "/var/db/"
|
||||
#define _PATH_VARRUN "/var/run/"
|
||||
#define _PATH_VARTMP "/var/tmp/"
|
||||
|
||||
|
|
|
|||
107
misc/syslog.c
107
misc/syslog.c
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1983, 1988 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1983, 1988, 1993
|
||||
* The 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
|
||||
|
|
@ -32,33 +32,36 @@
|
|||
*/
|
||||
|
||||
#if defined(LIBC_SCCS) && !defined(lint)
|
||||
static char sccsid[] = "@(#)syslog.c 5.34 (Berkeley) 6/26/91";
|
||||
static char sccsid[] = "@(#)syslog.c 8.4 (Berkeley) 3/18/94";
|
||||
#endif /* LIBC_SCCS and not lint */
|
||||
|
||||
#include <sys/types.h>
|
||||
#include <sys/socket.h>
|
||||
#include <sys/file.h>
|
||||
#include <sys/syslog.h>
|
||||
#include <sys/uio.h>
|
||||
#include <sys/errno.h>
|
||||
#include <netdb.h>
|
||||
|
||||
#include <errno.h>
|
||||
#include <fcntl.h>
|
||||
#include <paths.h>
|
||||
#include <stdio.h>
|
||||
#include <string.h>
|
||||
#include <time.h>
|
||||
#include <unistd.h>
|
||||
|
||||
#if __STDC__
|
||||
#include <stdarg.h>
|
||||
#else
|
||||
#include <varargs.h>
|
||||
#endif
|
||||
#include <time.h>
|
||||
#include <unistd.h>
|
||||
#include <paths.h>
|
||||
#include <stdio.h>
|
||||
|
||||
static int LogFile = -1; /* fd for log */
|
||||
static int connected; /* have done connect */
|
||||
static int LogStat = 0; /* status bits, set by openlog() */
|
||||
static const char *LogTag = "syslog"; /* string to tag the entry with */
|
||||
static const char *LogTag = NULL; /* string to tag the entry with */
|
||||
static int LogFacility = LOG_USER; /* default facility code */
|
||||
static int LogMask = 0xff; /* mask of priorities to be logged */
|
||||
extern char *__progname; /* Program name, from crt0. */
|
||||
|
||||
/*
|
||||
* syslog, vsyslog --
|
||||
|
|
@ -92,62 +95,60 @@ vsyslog(pri, fmt, ap)
|
|||
va_list ap;
|
||||
{
|
||||
register int cnt;
|
||||
register char *p;
|
||||
time_t now, time();
|
||||
register char ch, *p, *t;
|
||||
time_t now;
|
||||
int fd, saved_errno;
|
||||
char tbuf[2048], fmt_cpy[1024], *stdp, *ctime();
|
||||
char *stdp, tbuf[2048], fmt_cpy[1024];
|
||||
|
||||
/* check for invalid bits or no priority set */
|
||||
if (!LOG_PRI(pri) || (pri &~ (LOG_PRIMASK|LOG_FACMASK)) ||
|
||||
!(LOG_MASK(pri) & LogMask))
|
||||
#define INTERNALLOG LOG_ERR|LOG_CONS|LOG_PERROR|LOG_PID
|
||||
/* Check for invalid bits. */
|
||||
if (pri & ~(LOG_PRIMASK|LOG_FACMASK)) {
|
||||
syslog(INTERNALLOG,
|
||||
"syslog: unknown facility/priority: %x", pri);
|
||||
pri &= LOG_PRIMASK|LOG_FACMASK;
|
||||
}
|
||||
|
||||
/* Check priority against setlogmask values. */
|
||||
if (!LOG_MASK(LOG_PRI(pri)) & LogMask)
|
||||
return;
|
||||
|
||||
saved_errno = errno;
|
||||
|
||||
/* set default facility if none specified */
|
||||
/* Set default facility if none specified. */
|
||||
if ((pri & LOG_FACMASK) == 0)
|
||||
pri |= LogFacility;
|
||||
|
||||
/* build the message */
|
||||
/* Build the message. */
|
||||
(void)time(&now);
|
||||
(void)sprintf(tbuf, "<%d>%.15s ", pri, ctime(&now) + 4);
|
||||
for (p = tbuf; *p; ++p);
|
||||
p = tbuf + sprintf(tbuf, "<%d>", pri);
|
||||
p += strftime(p, sizeof (tbuf) - (p - tbuf), "%h %e %T ",
|
||||
localtime(&now));
|
||||
if (LogStat & LOG_PERROR)
|
||||
stdp = p;
|
||||
if (LogTag) {
|
||||
(void)strcpy(p, LogTag);
|
||||
for (; *p; ++p);
|
||||
}
|
||||
if (LogStat & LOG_PID) {
|
||||
(void)sprintf(p, "[%d]", getpid());
|
||||
for (; *p; ++p);
|
||||
}
|
||||
if (LogTag) {
|
||||
if (LogTag == NULL)
|
||||
LogTag = __progname;
|
||||
if (LogTag != NULL)
|
||||
p += sprintf(p, "%s", LogTag);
|
||||
if (LogStat & LOG_PID)
|
||||
p += sprintf(p, "[%d]", getpid());
|
||||
if (LogTag != NULL) {
|
||||
*p++ = ':';
|
||||
*p++ = ' ';
|
||||
}
|
||||
|
||||
/* substitute error message for %m */
|
||||
{
|
||||
register char ch, *t1, *t2;
|
||||
char *strerror();
|
||||
/* Substitute error message for %m. */
|
||||
for (t = fmt_cpy; ch = *fmt; ++fmt)
|
||||
if (ch == '%' && fmt[1] == 'm') {
|
||||
++fmt;
|
||||
t += sprintf(t, "%s", strerror(saved_errno));
|
||||
} else
|
||||
*t++ = ch;
|
||||
*t = '\0';
|
||||
|
||||
for (t1 = fmt_cpy; ch = *fmt; ++fmt)
|
||||
if (ch == '%' && fmt[1] == 'm') {
|
||||
++fmt;
|
||||
for (t2 = strerror(saved_errno);
|
||||
*t1 = *t2++; ++t1);
|
||||
}
|
||||
else
|
||||
*t1++ = ch;
|
||||
*t1 = '\0';
|
||||
}
|
||||
p += vsprintf(p, fmt_cpy, ap);
|
||||
cnt = p - tbuf;
|
||||
|
||||
(void)vsprintf(p, fmt_cpy, ap);
|
||||
|
||||
cnt = strlen(tbuf);
|
||||
|
||||
/* output to stderr if requested */
|
||||
/* Output to stderr if requested. */
|
||||
if (LogStat & LOG_PERROR) {
|
||||
struct iovec iov[2];
|
||||
register struct iovec *v = iov;
|
||||
|
|
@ -160,22 +161,19 @@ vsyslog(pri, fmt, ap)
|
|||
(void)writev(STDERR_FILENO, iov, 2);
|
||||
}
|
||||
|
||||
/* get connected, output the message to the local logger */
|
||||
/* Get connected, output the message to the local logger. */
|
||||
if (!connected)
|
||||
openlog(LogTag, LogStat | LOG_NDELAY, 0);
|
||||
if (send(LogFile, tbuf, cnt, 0) >= 0)
|
||||
return;
|
||||
|
||||
/* see if should attempt the console */
|
||||
if (!(LogStat&LOG_CONS))
|
||||
return;
|
||||
|
||||
/*
|
||||
* Output the message to the console; don't worry about blocking,
|
||||
* if console blocks everything will. Make sure the error reported
|
||||
* is the one from the syslogd failure.
|
||||
*/
|
||||
if ((fd = open(_PATH_CONSOLE, O_WRONLY, 0)) >= 0) {
|
||||
if (LogStat & LOG_CONS &&
|
||||
(fd = open(_PATH_CONSOLE, O_WRONLY, 0)) >= 0) {
|
||||
(void)strcat(tbuf, "\r\n");
|
||||
cnt += 2;
|
||||
p = index(tbuf, '>') + 1;
|
||||
|
|
@ -224,6 +222,7 @@ closelog()
|
|||
}
|
||||
|
||||
/* setlogmask -- set the log mask level */
|
||||
int
|
||||
setlogmask(pmask)
|
||||
int pmask;
|
||||
{
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1989 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1989, 1993
|
||||
* The 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
|
||||
|
|
@ -30,7 +30,7 @@
|
|||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||||
* SUCH DAMAGE.
|
||||
*
|
||||
* @(#)ttyent.h 5.7 (Berkeley) 4/3/91
|
||||
* @(#)ttyent.h 8.1 (Berkeley) 6/2/93
|
||||
*/
|
||||
|
||||
#ifndef _TTYENT_H_
|
||||
|
|
@ -42,8 +42,6 @@
|
|||
#define _TTYS_ON "on"
|
||||
#define _TTYS_SECURE "secure"
|
||||
#define _TTYS_WINDOW "window"
|
||||
#define _TTYS_TRUSTED "trusted"
|
||||
#define _TTYS_CONSOLE "console"
|
||||
|
||||
struct ttyent {
|
||||
char *ty_name; /* terminal device name */
|
||||
|
|
@ -51,8 +49,6 @@ struct ttyent {
|
|||
char *ty_type; /* terminal type for termcap */
|
||||
#define TTY_ON 0x01 /* enable logins (start ty_getty program) */
|
||||
#define TTY_SECURE 0x02 /* allow uid of 0 to login */
|
||||
#define TTY_TRUSTED 0x04 /* allow login without password */
|
||||
#define TTY_CONSOLE 0x08 /* allow uid of 0 to login without password */
|
||||
int ty_status; /* status flags */
|
||||
char *ty_window; /* command to start up window manager */
|
||||
char *ty_comment; /* comment field */
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1988 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1988, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#if defined(LIBC_SCCS) && !defined(lint)
|
||||
static char sccsid[] = "@(#)ttyslot.c 5.6 (Berkeley) 2/23/91";
|
||||
static char sccsid[] = "@(#)ttyslot.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* LIBC_SCCS and not lint */
|
||||
|
||||
#include <ttyent.h>
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)acosh.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)acosh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* ACOSH(X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)asincos.c 5.5 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)asincos.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* ASIN(X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)asinh.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)asinh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* ASINH(X)
|
||||
|
|
@ -84,7 +84,7 @@ double asinh(x)
|
|||
double x;
|
||||
{
|
||||
double t,s;
|
||||
static const double small=1.0E-10, /* fl(1+small*small) == 1 */
|
||||
const static double small=1.0E-10, /* fl(1+small*small) == 1 */
|
||||
big =1.0E20, /* fl(1+big) == big */
|
||||
one =1.0 ;
|
||||
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)atan2.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)atan2.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* ATAN2(Y,X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)atanh.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)atanh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* ATANH(X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)cosh.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)cosh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* COSH(X)
|
||||
|
|
@ -117,7 +117,7 @@ double x;
|
|||
if((x=copysign(x,one)) <= 22)
|
||||
if(x<0.3465)
|
||||
if(x<small) return(one+x);
|
||||
else {t=x+exp__E(x,0.0);x=t+t; return(one+t*t/(2.0+x)); }
|
||||
else {t=x+__exp__E(x,0.0);x=t+t; return(one+t*t/(2.0+x)); }
|
||||
|
||||
else /* for x lies in [0.3465,22] */
|
||||
{ t=exp(x); return((t+one/t)*half); }
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)exp.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)exp.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* EXP(X)
|
||||
|
|
@ -156,3 +156,48 @@ double x;
|
|||
/* exp(INF) is INF, exp(+big#) overflows to INF */
|
||||
return( finite(x) ? scalb(1.0,5000) : x);
|
||||
}
|
||||
|
||||
/* returns exp(r = x + c) for |c| < |x| with no overlap. */
|
||||
|
||||
double __exp__D(x, c)
|
||||
double x, c;
|
||||
{
|
||||
double z,hi,lo, t;
|
||||
int k;
|
||||
|
||||
#if !defined(vax)&&!defined(tahoe)
|
||||
if (x!=x) return(x); /* x is NaN */
|
||||
#endif /* !defined(vax)&&!defined(tahoe) */
|
||||
if ( x <= lnhuge ) {
|
||||
if ( x >= lntiny ) {
|
||||
|
||||
/* argument reduction : x --> x - k*ln2 */
|
||||
z = invln2*x;
|
||||
k = z + copysign(.5, x);
|
||||
|
||||
/* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */
|
||||
|
||||
hi=(x-k*ln2hi); /* Exact. */
|
||||
x= hi - (lo = k*ln2lo-c);
|
||||
/* return 2^k*[1+x+x*c/(2+c)] */
|
||||
z=x*x;
|
||||
c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
|
||||
c = (x*c)/(2.0-c);
|
||||
|
||||
return scalb(1.+(hi-(lo - c)), k);
|
||||
}
|
||||
/* end of x > lntiny */
|
||||
|
||||
else
|
||||
/* exp(-big#) underflows to zero */
|
||||
if(finite(x)) return(scalb(1.0,-5000));
|
||||
|
||||
/* exp(-INF) is zero */
|
||||
else return(0.0);
|
||||
}
|
||||
/* end of x < lnhuge */
|
||||
|
||||
else
|
||||
/* exp(INF) is INF, exp(+big#) overflows to INF */
|
||||
return( finite(x) ? scalb(1.0,5000) : x);
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)exp__E.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)exp__E.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* exp__E(x,c)
|
||||
|
|
@ -107,10 +107,10 @@ ic(q2, 9.9176615021572857300E-4, -10, 1.03FC4CB8C98E8)
|
|||
#define q3 vccast(q3)
|
||||
#endif
|
||||
|
||||
double exp__E(x,c)
|
||||
double __exp__E(x,c)
|
||||
double x,c;
|
||||
{
|
||||
static const double zero=0.0, one=1.0, half=1.0/2.0, small=1.0E-19;
|
||||
const static double zero=0.0, one=1.0, half=1.0/2.0, small=1.0E-19;
|
||||
double z,p,q,xp,xh,w;
|
||||
if(copysign(x,one)>small) {
|
||||
z = x*x ;
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)expm1.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)expm1.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* EXPM1(X)
|
||||
|
|
@ -108,7 +108,7 @@ ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE)
|
|||
double expm1(x)
|
||||
double x;
|
||||
{
|
||||
static const double one=1.0, half=1.0/2.0;
|
||||
const static double one=1.0, half=1.0/2.0;
|
||||
double z,hi,lo,c;
|
||||
int k;
|
||||
#if defined(vax)||defined(tahoe)
|
||||
|
|
@ -130,21 +130,21 @@ double x;
|
|||
z=hi-(lo=k*ln2lo);
|
||||
c=(hi-z)-lo;
|
||||
|
||||
if(k==0) return(z+exp__E(z,c));
|
||||
if(k==0) return(z+__exp__E(z,c));
|
||||
if(k==1)
|
||||
if(z< -0.25)
|
||||
{x=z+half;x +=exp__E(z,c); return(x+x);}
|
||||
{x=z+half;x +=__exp__E(z,c); return(x+x);}
|
||||
else
|
||||
{z+=exp__E(z,c); x=half+z; return(x+x);}
|
||||
{z+=__exp__E(z,c); x=half+z; return(x+x);}
|
||||
/* end of k=1 */
|
||||
|
||||
else {
|
||||
if(k<=prec)
|
||||
{ x=one-scalb(one,-k); z += exp__E(z,c);}
|
||||
{ x=one-scalb(one,-k); z += __exp__E(z,c);}
|
||||
else if(k<100)
|
||||
{ x = exp__E(z,c)-scalb(one,-k); x+=z; z=one;}
|
||||
{ x = __exp__E(z,c)-scalb(one,-k); x+=z; z=one;}
|
||||
else
|
||||
{ x = exp__E(z,c)+z; z=one;}
|
||||
{ x = __exp__E(z,c)+z; z=one;}
|
||||
|
||||
return (scalb(x+z,k));
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1989 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1989, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)fmod.c 5.2 (Berkeley) 6/1/90";
|
||||
static char sccsid[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* fmod.c
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1992, 1993
|
||||
* The 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
|
||||
|
|
@ -32,132 +32,455 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)log.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)log.c 8.2 (Berkeley) 11/30/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* LOG(X)
|
||||
* RETURN THE LOGARITHM OF x
|
||||
* DOUBLE PRECISION (VAX D FORMAT 56 bits or IEEE DOUBLE 53 BITS)
|
||||
* CODED IN C BY K.C. NG, 1/19/85;
|
||||
* REVISED BY K.C. NG on 2/7/85, 3/7/85, 3/24/85, 4/16/85.
|
||||
*
|
||||
* Required system supported functions:
|
||||
* scalb(x,n)
|
||||
* copysign(x,y)
|
||||
* logb(x)
|
||||
* finite(x)
|
||||
*
|
||||
* Required kernel function:
|
||||
* log__L(z)
|
||||
*
|
||||
* Method :
|
||||
* 1. Argument Reduction: find k and f such that
|
||||
* x = 2^k * (1+f),
|
||||
* where sqrt(2)/2 < 1+f < sqrt(2) .
|
||||
*
|
||||
* 2. Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
|
||||
* = 2s + 2/3 s**3 + 2/5 s**5 + .....,
|
||||
* log(1+f) is computed by
|
||||
*
|
||||
* log(1+f) = 2s + s*log__L(s*s)
|
||||
* where
|
||||
* log__L(z) = z*(L1 + z*(L2 + z*(... (L6 + z*L7)...)))
|
||||
*
|
||||
* See log__L() for the values of the coefficients.
|
||||
*
|
||||
* 3. Finally, log(x) = k*ln2 + log(1+f). (Here n*ln2 will be stored
|
||||
* in two floating point number: n*ln2hi + n*ln2lo, n*ln2hi is exact
|
||||
* since the last 20 bits of ln2hi is 0.)
|
||||
*
|
||||
* Special cases:
|
||||
* log(x) is NaN with signal if x < 0 (including -INF) ;
|
||||
* log(+INF) is +INF; log(0) is -INF with signal;
|
||||
* log(NaN) is that NaN with no signal.
|
||||
*
|
||||
* Accuracy:
|
||||
* log(x) returns the exact log(x) nearly rounded. In a test run with
|
||||
* 1,536,000 random arguments on a VAX, the maximum observed error was
|
||||
* .826 ulps (units in the last place).
|
||||
*
|
||||
* Constants:
|
||||
* The hexadecimal values are the intended ones for the following constants.
|
||||
* The decimal values may be used, provided that the compiler will convert
|
||||
* from decimal to binary accurately enough to produce the hexadecimal values
|
||||
* shown.
|
||||
*/
|
||||
|
||||
#include <math.h>
|
||||
#include <errno.h>
|
||||
|
||||
#include "mathimpl.h"
|
||||
|
||||
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
|
||||
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
|
||||
vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65)
|
||||
/* Table-driven natural logarithm.
|
||||
*
|
||||
* This code was derived, with minor modifications, from:
|
||||
* Peter Tang, "Table-Driven Implementation of the
|
||||
* Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
|
||||
* Math Software, vol 16. no 4, pp 378-400, Dec 1990).
|
||||
*
|
||||
* Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
|
||||
* where F = j/128 for j an integer in [0, 128].
|
||||
*
|
||||
* log(2^m) = log2_hi*m + log2_tail*m
|
||||
* since m is an integer, the dominant term is exact.
|
||||
* m has at most 10 digits (for subnormal numbers),
|
||||
* and log2_hi has 11 trailing zero bits.
|
||||
*
|
||||
* log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
|
||||
* logF_hi[] + 512 is exact.
|
||||
*
|
||||
* log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
|
||||
* the leading term is calculated to extra precision in two
|
||||
* parts, the larger of which adds exactly to the dominant
|
||||
* m and F terms.
|
||||
* There are two cases:
|
||||
* 1. when m, j are non-zero (m | j), use absolute
|
||||
* precision for the leading term.
|
||||
* 2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
|
||||
* In this case, use a relative precision of 24 bits.
|
||||
* (This is done differently in the original paper)
|
||||
*
|
||||
* Special cases:
|
||||
* 0 return signalling -Inf
|
||||
* neg return signalling NaN
|
||||
* +Inf return +Inf
|
||||
*/
|
||||
|
||||
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
|
||||
ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
|
||||
ic(sqrt2, 1.4142135623730951455E0, 0, 1.6A09E667F3BCD)
|
||||
|
||||
#ifdef vccast
|
||||
#define ln2hi vccast(ln2hi)
|
||||
#define ln2lo vccast(ln2lo)
|
||||
#define sqrt2 vccast(sqrt2)
|
||||
#if defined(vax) || defined(tahoe)
|
||||
#define _IEEE 0
|
||||
#define TRUNC(x) x = (double) (float) (x)
|
||||
#else
|
||||
#define _IEEE 1
|
||||
#define endian (((*(int *) &one)) ? 1 : 0)
|
||||
#define TRUNC(x) *(((int *) &x) + endian) &= 0xf8000000
|
||||
#define infnan(x) 0.0
|
||||
#endif
|
||||
|
||||
#define N 128
|
||||
|
||||
double log(x)
|
||||
double x;
|
||||
/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
|
||||
* Used for generation of extend precision logarithms.
|
||||
* The constant 35184372088832 is 2^45, so the divide is exact.
|
||||
* It ensures correct reading of logF_head, even for inaccurate
|
||||
* decimal-to-binary conversion routines. (Everybody gets the
|
||||
* right answer for integers less than 2^53.)
|
||||
* Values for log(F) were generated using error < 10^-57 absolute
|
||||
* with the bc -l package.
|
||||
*/
|
||||
static double A1 = .08333333333333178827;
|
||||
static double A2 = .01250000000377174923;
|
||||
static double A3 = .002232139987919447809;
|
||||
static double A4 = .0004348877777076145742;
|
||||
|
||||
static double logF_head[N+1] = {
|
||||
0.,
|
||||
.007782140442060381246,
|
||||
.015504186535963526694,
|
||||
.023167059281547608406,
|
||||
.030771658666765233647,
|
||||
.038318864302141264488,
|
||||
.045809536031242714670,
|
||||
.053244514518837604555,
|
||||
.060624621816486978786,
|
||||
.067950661908525944454,
|
||||
.075223421237524235039,
|
||||
.082443669210988446138,
|
||||
.089612158689760690322,
|
||||
.096729626458454731618,
|
||||
.103796793681567578460,
|
||||
.110814366340264314203,
|
||||
.117783035656430001836,
|
||||
.124703478501032805070,
|
||||
.131576357788617315236,
|
||||
.138402322859292326029,
|
||||
.145182009844575077295,
|
||||
.151916042025732167530,
|
||||
.158605030176659056451,
|
||||
.165249572895390883786,
|
||||
.171850256926518341060,
|
||||
.178407657472689606947,
|
||||
.184922338493834104156,
|
||||
.191394852999565046047,
|
||||
.197825743329758552135,
|
||||
.204215541428766300668,
|
||||
.210564769107350002741,
|
||||
.216873938300523150246,
|
||||
.223143551314024080056,
|
||||
.229374101064877322642,
|
||||
.235566071312860003672,
|
||||
.241719936886966024758,
|
||||
.247836163904594286577,
|
||||
.253915209980732470285,
|
||||
.259957524436686071567,
|
||||
.265963548496984003577,
|
||||
.271933715484010463114,
|
||||
.277868451003087102435,
|
||||
.283768173130738432519,
|
||||
.289633292582948342896,
|
||||
.295464212893421063199,
|
||||
.301261330578199704177,
|
||||
.307025035294827830512,
|
||||
.312755710004239517729,
|
||||
.318453731118097493890,
|
||||
.324119468654316733591,
|
||||
.329753286372579168528,
|
||||
.335355541920762334484,
|
||||
.340926586970454081892,
|
||||
.346466767346100823488,
|
||||
.351976423156884266063,
|
||||
.357455888922231679316,
|
||||
.362905493689140712376,
|
||||
.368325561158599157352,
|
||||
.373716409793814818840,
|
||||
.379078352934811846353,
|
||||
.384411698910298582632,
|
||||
.389716751140440464951,
|
||||
.394993808240542421117,
|
||||
.400243164127459749579,
|
||||
.405465108107819105498,
|
||||
.410659924985338875558,
|
||||
.415827895143593195825,
|
||||
.420969294644237379543,
|
||||
.426084395310681429691,
|
||||
.431173464818130014464,
|
||||
.436236766774527495726,
|
||||
.441274560805140936281,
|
||||
.446287102628048160113,
|
||||
.451274644139630254358,
|
||||
.456237433481874177232,
|
||||
.461175715122408291790,
|
||||
.466089729924533457960,
|
||||
.470979715219073113985,
|
||||
.475845904869856894947,
|
||||
.480688529345570714212,
|
||||
.485507815781602403149,
|
||||
.490303988045525329653,
|
||||
.495077266798034543171,
|
||||
.499827869556611403822,
|
||||
.504556010751912253908,
|
||||
.509261901790523552335,
|
||||
.513945751101346104405,
|
||||
.518607764208354637958,
|
||||
.523248143765158602036,
|
||||
.527867089620485785417,
|
||||
.532464798869114019908,
|
||||
.537041465897345915436,
|
||||
.541597282432121573947,
|
||||
.546132437597407260909,
|
||||
.550647117952394182793,
|
||||
.555141507540611200965,
|
||||
.559615787935399566777,
|
||||
.564070138285387656651,
|
||||
.568504735352689749561,
|
||||
.572919753562018740922,
|
||||
.577315365035246941260,
|
||||
.581691739635061821900,
|
||||
.586049045003164792433,
|
||||
.590387446602107957005,
|
||||
.594707107746216934174,
|
||||
.599008189645246602594,
|
||||
.603290851438941899687,
|
||||
.607555250224322662688,
|
||||
.611801541106615331955,
|
||||
.616029877215623855590,
|
||||
.620240409751204424537,
|
||||
.624433288012369303032,
|
||||
.628608659422752680256,
|
||||
.632766669570628437213,
|
||||
.636907462236194987781,
|
||||
.641031179420679109171,
|
||||
.645137961373620782978,
|
||||
.649227946625615004450,
|
||||
.653301272011958644725,
|
||||
.657358072709030238911,
|
||||
.661398482245203922502,
|
||||
.665422632544505177065,
|
||||
.669430653942981734871,
|
||||
.673422675212350441142,
|
||||
.677398823590920073911,
|
||||
.681359224807238206267,
|
||||
.685304003098281100392,
|
||||
.689233281238557538017,
|
||||
.693147180560117703862
|
||||
};
|
||||
|
||||
static double logF_tail[N+1] = {
|
||||
0.,
|
||||
-.00000000000000543229938420049,
|
||||
.00000000000000172745674997061,
|
||||
-.00000000000001323017818229233,
|
||||
-.00000000000001154527628289872,
|
||||
-.00000000000000466529469958300,
|
||||
.00000000000005148849572685810,
|
||||
-.00000000000002532168943117445,
|
||||
-.00000000000005213620639136504,
|
||||
-.00000000000001819506003016881,
|
||||
.00000000000006329065958724544,
|
||||
.00000000000008614512936087814,
|
||||
-.00000000000007355770219435028,
|
||||
.00000000000009638067658552277,
|
||||
.00000000000007598636597194141,
|
||||
.00000000000002579999128306990,
|
||||
-.00000000000004654729747598444,
|
||||
-.00000000000007556920687451336,
|
||||
.00000000000010195735223708472,
|
||||
-.00000000000017319034406422306,
|
||||
-.00000000000007718001336828098,
|
||||
.00000000000010980754099855238,
|
||||
-.00000000000002047235780046195,
|
||||
-.00000000000008372091099235912,
|
||||
.00000000000014088127937111135,
|
||||
.00000000000012869017157588257,
|
||||
.00000000000017788850778198106,
|
||||
.00000000000006440856150696891,
|
||||
.00000000000016132822667240822,
|
||||
-.00000000000007540916511956188,
|
||||
-.00000000000000036507188831790,
|
||||
.00000000000009120937249914984,
|
||||
.00000000000018567570959796010,
|
||||
-.00000000000003149265065191483,
|
||||
-.00000000000009309459495196889,
|
||||
.00000000000017914338601329117,
|
||||
-.00000000000001302979717330866,
|
||||
.00000000000023097385217586939,
|
||||
.00000000000023999540484211737,
|
||||
.00000000000015393776174455408,
|
||||
-.00000000000036870428315837678,
|
||||
.00000000000036920375082080089,
|
||||
-.00000000000009383417223663699,
|
||||
.00000000000009433398189512690,
|
||||
.00000000000041481318704258568,
|
||||
-.00000000000003792316480209314,
|
||||
.00000000000008403156304792424,
|
||||
-.00000000000034262934348285429,
|
||||
.00000000000043712191957429145,
|
||||
-.00000000000010475750058776541,
|
||||
-.00000000000011118671389559323,
|
||||
.00000000000037549577257259853,
|
||||
.00000000000013912841212197565,
|
||||
.00000000000010775743037572640,
|
||||
.00000000000029391859187648000,
|
||||
-.00000000000042790509060060774,
|
||||
.00000000000022774076114039555,
|
||||
.00000000000010849569622967912,
|
||||
-.00000000000023073801945705758,
|
||||
.00000000000015761203773969435,
|
||||
.00000000000003345710269544082,
|
||||
-.00000000000041525158063436123,
|
||||
.00000000000032655698896907146,
|
||||
-.00000000000044704265010452446,
|
||||
.00000000000034527647952039772,
|
||||
-.00000000000007048962392109746,
|
||||
.00000000000011776978751369214,
|
||||
-.00000000000010774341461609578,
|
||||
.00000000000021863343293215910,
|
||||
.00000000000024132639491333131,
|
||||
.00000000000039057462209830700,
|
||||
-.00000000000026570679203560751,
|
||||
.00000000000037135141919592021,
|
||||
-.00000000000017166921336082431,
|
||||
-.00000000000028658285157914353,
|
||||
-.00000000000023812542263446809,
|
||||
.00000000000006576659768580062,
|
||||
-.00000000000028210143846181267,
|
||||
.00000000000010701931762114254,
|
||||
.00000000000018119346366441110,
|
||||
.00000000000009840465278232627,
|
||||
-.00000000000033149150282752542,
|
||||
-.00000000000018302857356041668,
|
||||
-.00000000000016207400156744949,
|
||||
.00000000000048303314949553201,
|
||||
-.00000000000071560553172382115,
|
||||
.00000000000088821239518571855,
|
||||
-.00000000000030900580513238244,
|
||||
-.00000000000061076551972851496,
|
||||
.00000000000035659969663347830,
|
||||
.00000000000035782396591276383,
|
||||
-.00000000000046226087001544578,
|
||||
.00000000000062279762917225156,
|
||||
.00000000000072838947272065741,
|
||||
.00000000000026809646615211673,
|
||||
-.00000000000010960825046059278,
|
||||
.00000000000002311949383800537,
|
||||
-.00000000000058469058005299247,
|
||||
-.00000000000002103748251144494,
|
||||
-.00000000000023323182945587408,
|
||||
-.00000000000042333694288141916,
|
||||
-.00000000000043933937969737844,
|
||||
.00000000000041341647073835565,
|
||||
.00000000000006841763641591466,
|
||||
.00000000000047585534004430641,
|
||||
.00000000000083679678674757695,
|
||||
-.00000000000085763734646658640,
|
||||
.00000000000021913281229340092,
|
||||
-.00000000000062242842536431148,
|
||||
-.00000000000010983594325438430,
|
||||
.00000000000065310431377633651,
|
||||
-.00000000000047580199021710769,
|
||||
-.00000000000037854251265457040,
|
||||
.00000000000040939233218678664,
|
||||
.00000000000087424383914858291,
|
||||
.00000000000025218188456842882,
|
||||
-.00000000000003608131360422557,
|
||||
-.00000000000050518555924280902,
|
||||
.00000000000078699403323355317,
|
||||
-.00000000000067020876961949060,
|
||||
.00000000000016108575753932458,
|
||||
.00000000000058527188436251509,
|
||||
-.00000000000035246757297904791,
|
||||
-.00000000000018372084495629058,
|
||||
.00000000000088606689813494916,
|
||||
.00000000000066486268071468700,
|
||||
.00000000000063831615170646519,
|
||||
.00000000000025144230728376072,
|
||||
-.00000000000017239444525614834
|
||||
};
|
||||
|
||||
double
|
||||
#ifdef _ANSI_SOURCE
|
||||
log(double x)
|
||||
#else
|
||||
log(x) double x;
|
||||
#endif
|
||||
{
|
||||
static const double zero=0.0, negone= -1.0, half=1.0/2.0;
|
||||
double s,z,t;
|
||||
int k,n;
|
||||
int m, j;
|
||||
double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
|
||||
volatile double u1;
|
||||
|
||||
#if !defined(vax)&&!defined(tahoe)
|
||||
if(x!=x) return(x); /* x is NaN */
|
||||
#endif /* !defined(vax)&&!defined(tahoe) */
|
||||
if(finite(x)) {
|
||||
if( x > zero ) {
|
||||
|
||||
/* argument reduction */
|
||||
k=logb(x); x=scalb(x,-k);
|
||||
if(k == -1022) /* subnormal no. */
|
||||
{n=logb(x); x=scalb(x,-n); k+=n;}
|
||||
if(x >= sqrt2 ) {k += 1; x *= half;}
|
||||
x += negone ;
|
||||
|
||||
/* compute log(1+x) */
|
||||
s=x/(2+x); t=x*x*half;
|
||||
z=k*ln2lo+s*(t+log__L(s*s));
|
||||
x += (z - t) ;
|
||||
|
||||
return(k*ln2hi+x);
|
||||
}
|
||||
/* end of if (x > zero) */
|
||||
|
||||
else {
|
||||
#if defined(vax)||defined(tahoe)
|
||||
if ( x == zero )
|
||||
return (infnan(-ERANGE)); /* -INF */
|
||||
/* Catch special cases */
|
||||
if (x <= 0)
|
||||
if (_IEEE && x == zero) /* log(0) = -Inf */
|
||||
return (-one/zero);
|
||||
else if (_IEEE) /* log(neg) = NaN */
|
||||
return (zero/zero);
|
||||
else if (x == zero) /* NOT REACHED IF _IEEE */
|
||||
return (infnan(-ERANGE));
|
||||
else
|
||||
return (infnan(EDOM)); /* NaN */
|
||||
#else /* defined(vax)||defined(tahoe) */
|
||||
/* zero argument, return -INF with signal */
|
||||
if ( x == zero )
|
||||
return( negone/zero );
|
||||
return (infnan(EDOM));
|
||||
else if (!finite(x))
|
||||
if (_IEEE) /* x = NaN, Inf */
|
||||
return (x+x);
|
||||
else
|
||||
return (infnan(ERANGE));
|
||||
|
||||
/* Argument reduction: 1 <= g < 2; x/2^m = g; */
|
||||
/* y = F*(1 + f/F) for |f| <= 2^-8 */
|
||||
|
||||
/* negative argument, return NaN with signal */
|
||||
else
|
||||
return ( zero / zero );
|
||||
#endif /* defined(vax)||defined(tahoe) */
|
||||
}
|
||||
m = logb(x);
|
||||
g = ldexp(x, -m);
|
||||
if (_IEEE && m == -1022) {
|
||||
j = logb(g), m += j;
|
||||
g = ldexp(g, -j);
|
||||
}
|
||||
/* end of if (finite(x)) */
|
||||
/* NOTREACHED if defined(vax)||defined(tahoe) */
|
||||
j = N*(g-1) + .5;
|
||||
F = (1.0/N) * j + 1; /* F*128 is an integer in [128, 512] */
|
||||
f = g - F;
|
||||
|
||||
/* log(-INF) is NaN with signal */
|
||||
else if (x<0)
|
||||
return(zero/zero);
|
||||
/* Approximate expansion for log(1+f/F) ~= u + q */
|
||||
g = 1/(2*F+f);
|
||||
u = 2*f*g;
|
||||
v = u*u;
|
||||
q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
|
||||
|
||||
/* log(+INF) is +INF */
|
||||
else return(x);
|
||||
/* case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8,
|
||||
* u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
|
||||
* It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
|
||||
*/
|
||||
if (m | j)
|
||||
u1 = u + 513, u1 -= 513;
|
||||
|
||||
/* case 2: |1-x| < 1/256. The m- and j- dependent terms are zero;
|
||||
* u1 = u to 24 bits.
|
||||
*/
|
||||
else
|
||||
u1 = u, TRUNC(u1);
|
||||
u2 = (2.0*(f - F*u1) - u1*f) * g;
|
||||
/* u1 + u2 = 2f/(2F+f) to extra precision. */
|
||||
|
||||
/* log(x) = log(2^m*F*(1+f/F)) = */
|
||||
/* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q); */
|
||||
/* (exact) + (tiny) */
|
||||
|
||||
u1 += m*logF_head[N] + logF_head[j]; /* exact */
|
||||
u2 = (u2 + logF_tail[j]) + q; /* tiny */
|
||||
u2 += logF_tail[N]*m;
|
||||
return (u1 + u2);
|
||||
}
|
||||
|
||||
/*
|
||||
* Extra precision variant, returning struct {double a, b;};
|
||||
* log(x) = a+b to 63 bits, with a is rounded to 26 bits.
|
||||
*/
|
||||
struct Double
|
||||
#ifdef _ANSI_SOURCE
|
||||
__log__D(double x)
|
||||
#else
|
||||
__log__D(x) double x;
|
||||
#endif
|
||||
{
|
||||
int m, j;
|
||||
double F, f, g, q, u, v, u2, one = 1.0;
|
||||
volatile double u1;
|
||||
struct Double r;
|
||||
|
||||
/* Argument reduction: 1 <= g < 2; x/2^m = g; */
|
||||
/* y = F*(1 + f/F) for |f| <= 2^-8 */
|
||||
|
||||
m = logb(x);
|
||||
g = ldexp(x, -m);
|
||||
if (_IEEE && m == -1022) {
|
||||
j = logb(g), m += j;
|
||||
g = ldexp(g, -j);
|
||||
}
|
||||
j = N*(g-1) + .5;
|
||||
F = (1.0/N) * j + 1;
|
||||
f = g - F;
|
||||
|
||||
g = 1/(2*F+f);
|
||||
u = 2*f*g;
|
||||
v = u*u;
|
||||
q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
|
||||
if (m | j)
|
||||
u1 = u + 513, u1 -= 513;
|
||||
else
|
||||
u1 = u, TRUNC(u1);
|
||||
u2 = (2.0*(f - F*u1) - u1*f) * g;
|
||||
|
||||
u1 += m*logF_head[N] + logF_head[j];
|
||||
|
||||
u2 += logF_tail[j]; u2 += q;
|
||||
u2 += logF_tail[N]*m;
|
||||
r.a = u1 + u2; /* Only difference is here */
|
||||
TRUNC(r.a);
|
||||
r.b = (u1 - r.a) + u2;
|
||||
return (r);
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)log1p.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)log1p.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* LOG1P(x)
|
||||
|
|
@ -114,7 +114,7 @@ ic(sqrt2, 1.4142135623730951455E0, 0, 1.6A09E667F3BCD)
|
|||
double log1p(x)
|
||||
double x;
|
||||
{
|
||||
static const double zero=0.0, negone= -1.0, one=1.0,
|
||||
const static double zero=0.0, negone= -1.0, one=1.0,
|
||||
half=1.0/2.0, small=1.0E-20; /* 1+small == 1 */
|
||||
double z,s,t,c;
|
||||
int k;
|
||||
|
|
@ -137,7 +137,7 @@ double x;
|
|||
/* compute log(1+x) */
|
||||
s = x/(2+x); t = x*x*half;
|
||||
c += (k*ln2lo-c*x);
|
||||
z = c+s*(t+log__L(s*s));
|
||||
z = c+s*(t+__log__L(s*s));
|
||||
x += (z - t) ;
|
||||
|
||||
return(k*ln2hi+x);
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)log__L.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)log__L.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* log__L(Z)
|
||||
|
|
@ -99,7 +99,7 @@ ic(L7, 1.4795612545334174692E-1, -3, 1.2F039F0085122)
|
|||
#define L8 vccast(L8)
|
||||
#endif
|
||||
|
||||
double log__L(z)
|
||||
double __log__L(z)
|
||||
double z;
|
||||
{
|
||||
#if defined(vax)||defined(tahoe)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)pow.c 5.7 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)pow.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* POW(X,Y)
|
||||
|
|
@ -40,7 +40,7 @@ static char sccsid[] = "@(#)pow.c 5.7 (Berkeley) 10/9/90";
|
|||
* DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
|
||||
* CODED IN C BY K.C. NG, 1/8/85;
|
||||
* REVISED BY K.C. NG on 7/10/85.
|
||||
*
|
||||
* KERNEL pow_P() REPLACED BY P. McILROY 7/22/92.
|
||||
* Required system supported functions:
|
||||
* scalb(x,n)
|
||||
* logb(x)
|
||||
|
|
@ -49,9 +49,8 @@ static char sccsid[] = "@(#)pow.c 5.7 (Berkeley) 10/9/90";
|
|||
* drem(x,y)
|
||||
*
|
||||
* Required kernel functions:
|
||||
* exp__E(a,c) ...return exp(a+c) - 1 - a*a/2
|
||||
* log__L(x) ...return (log(1+x) - 2s)/s, s=x/(2+x)
|
||||
* pow_p(x,y) ...return +(anything)**(finite non zero)
|
||||
* exp__D(a,c) exp(a + c) for |a| << |c|
|
||||
* struct d_double dlog(x) r.a + r.b, |r.b| < |r.a|
|
||||
*
|
||||
* Method
|
||||
* 1. Compute and return log(x) in three pieces:
|
||||
|
|
@ -69,10 +68,12 @@ static char sccsid[] = "@(#)pow.c 5.7 (Berkeley) 10/9/90";
|
|||
* (anything) ** 1 is itself;
|
||||
* (anything) ** NaN is NaN;
|
||||
* NaN ** (anything except 0) is NaN;
|
||||
* +-(anything > 1) ** +INF is +INF;
|
||||
* +(anything > 1) ** +INF is +INF;
|
||||
* -(anything > 1) ** +INF is NaN;
|
||||
* +-(anything > 1) ** -INF is +0;
|
||||
* +-(anything < 1) ** +INF is +0;
|
||||
* +-(anything < 1) ** -INF is +INF;
|
||||
* +(anything < 1) ** -INF is +INF;
|
||||
* -(anything < 1) ** -INF is NaN;
|
||||
* +-1 ** +-INF is NaN and signal INVALID;
|
||||
* +0 ** +(anything except 0, NaN) is +0;
|
||||
* -0 ** +(anything except 0, NaN, odd integer) is +0;
|
||||
|
|
@ -104,151 +105,111 @@ static char sccsid[] = "@(#)pow.c 5.7 (Berkeley) 10/9/90";
|
|||
*/
|
||||
|
||||
#include <errno.h>
|
||||
#include <math.h>
|
||||
|
||||
#include "mathimpl.h"
|
||||
#include <limits.h>
|
||||
|
||||
vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000)
|
||||
vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC)
|
||||
vc(invln2, 1.4426950408889634148E0 ,aa3b,40b8,17f1,295c, 1, .B8AA3B295C17F1)
|
||||
vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65)
|
||||
#if (defined(vax) || defined(tahoe))
|
||||
#define TRUNC(x) x = (double) (float) x
|
||||
#define _IEEE 0
|
||||
#else
|
||||
#define _IEEE 1
|
||||
#define endian (((*(int *) &one)) ? 1 : 0)
|
||||
#define TRUNC(x) *(((int *) &x)+endian) &= 0xf8000000
|
||||
#define infnan(x) 0.0
|
||||
#endif /* vax or tahoe */
|
||||
|
||||
ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000)
|
||||
ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76)
|
||||
ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE)
|
||||
ic(sqrt2, 1.4142135623730951455E0, 0, 1.6A09E667F3BCD)
|
||||
const static double zero=0.0, one=1.0, two=2.0, negone= -1.0;
|
||||
|
||||
#ifdef vccast
|
||||
#define ln2hi vccast(ln2hi)
|
||||
#define ln2lo vccast(ln2lo)
|
||||
#define invln2 vccast(invln2)
|
||||
#define sqrt2 vccast(sqrt2)
|
||||
#endif
|
||||
|
||||
static const double zero=0.0, half=1.0/2.0, one=1.0, two=2.0, negone= -1.0;
|
||||
|
||||
static double pow_p();
|
||||
static double pow_P __P((double, double));
|
||||
|
||||
double pow(x,y)
|
||||
double x,y;
|
||||
{
|
||||
double t;
|
||||
|
||||
if (y==zero) return(one);
|
||||
else if(y==one
|
||||
#if !defined(vax)&&!defined(tahoe)
|
||||
|| __isnan (x) /* BSD code did `x!=x' */
|
||||
#endif /* !defined(vax)&&!defined(tahoe) */
|
||||
) return( x ); /* if x is NaN or y=1 */
|
||||
#if !defined(vax)&&!defined(tahoe)
|
||||
else if(__isnan(y)) return( y ); /* if y is NaN */
|
||||
#endif /* !defined(vax)&&!defined(tahoe) */
|
||||
else if(!finite(y)) /* if y is INF */
|
||||
if((t=copysign(x,one))==one) return(zero/zero);
|
||||
else if(t>one) return((y>zero)?y:zero);
|
||||
else return((y<zero)?-y:zero);
|
||||
else if(y==two) return(x*x);
|
||||
else if(y==negone) return(one/x);
|
||||
|
||||
/* sign(x) = 1 */
|
||||
else if(copysign(one,x)==one) return(pow_p(x,y));
|
||||
if (y==zero)
|
||||
return (one);
|
||||
else if (y==one || (_IEEE && x != x))
|
||||
return (x); /* if x is NaN or y=1 */
|
||||
else if (_IEEE && y!=y) /* if y is NaN */
|
||||
return (y);
|
||||
else if (!finite(y)) /* if y is INF */
|
||||
if ((t=fabs(x))==one) /* +-1 ** +-INF is NaN */
|
||||
return (y - y);
|
||||
else if (t>one)
|
||||
return ((y<0)? zero : ((x<zero)? y-y : y));
|
||||
else
|
||||
return ((y>0)? zero : ((x<0)? y-y : -y));
|
||||
else if (y==two)
|
||||
return (x*x);
|
||||
else if (y==negone)
|
||||
return (one/x);
|
||||
/* x > 0, x == +0 */
|
||||
else if (copysign(one, x) == one)
|
||||
return (pow_P(x, y));
|
||||
|
||||
/* sign(x)= -1 */
|
||||
/* if y is an even integer */
|
||||
else if ( (t=drem(y,two)) == zero) return( pow_p(-x,y) );
|
||||
else if ( (t=drem(y,two)) == zero)
|
||||
return (pow_P(-x, y));
|
||||
|
||||
/* if y is an odd integer */
|
||||
else if (copysign(t,one) == one) return( -pow_p(-x,y) );
|
||||
else if (copysign(t,one) == one)
|
||||
return (-pow_P(-x, y));
|
||||
|
||||
/* Henceforth y is not an integer */
|
||||
else if(x==zero) /* x is -0 */
|
||||
return((y>zero)?-x:one/(-x));
|
||||
else { /* return NaN */
|
||||
#if defined(vax)||defined(tahoe)
|
||||
return (infnan(EDOM)); /* NaN */
|
||||
#else /* defined(vax)||defined(tahoe) */
|
||||
return(zero/zero);
|
||||
#endif /* defined(vax)||defined(tahoe) */
|
||||
}
|
||||
else if (x==zero) /* x is -0 */
|
||||
return ((y>zero)? -x : one/(-x));
|
||||
else if (_IEEE)
|
||||
return (zero/zero);
|
||||
else
|
||||
return (infnan(EDOM));
|
||||
}
|
||||
|
||||
#ifndef mc68881
|
||||
/* pow_p(x,y) return x**y for x with sign=1 and finite y */
|
||||
static double pow_p(x,y)
|
||||
double x,y;
|
||||
/* kernel function for x >= 0 */
|
||||
static double
|
||||
#ifdef _ANSI_SOURCE
|
||||
pow_P(double x, double y)
|
||||
#else
|
||||
pow_P(x, y) double x, y;
|
||||
#endif
|
||||
{
|
||||
double c,s,t,z,tx,ty;
|
||||
#ifdef tahoe
|
||||
double tahoe_tmp;
|
||||
#endif /* tahoe */
|
||||
float sx,sy;
|
||||
long k;
|
||||
int n,m;
|
||||
struct Double s, t, __log__D();
|
||||
double __exp__D(), huge = 1e300, tiny = 1e-300;
|
||||
|
||||
if(x==zero||!finite(x)) { /* if x is +INF or +0 */
|
||||
#if defined(vax)||defined(tahoe)
|
||||
return((y>zero)?x:infnan(ERANGE)); /* if y<zero, return +INF */
|
||||
#else /* defined(vax)||defined(tahoe) */
|
||||
return((y>zero)?x:one/x);
|
||||
#endif /* defined(vax)||defined(tahoe) */
|
||||
}
|
||||
if(x==1.0) return(x); /* if x=1.0, return 1 since y is finite */
|
||||
if (x == zero)
|
||||
if (y > zero)
|
||||
return (zero);
|
||||
else if (_IEEE)
|
||||
return (huge*huge);
|
||||
else
|
||||
return (infnan(ERANGE));
|
||||
if (x == one)
|
||||
return (one);
|
||||
if (!finite(x))
|
||||
if (y < zero)
|
||||
return (zero);
|
||||
else if (_IEEE)
|
||||
return (huge*huge);
|
||||
else
|
||||
return (infnan(ERANGE));
|
||||
if (y >= 7e18) /* infinity */
|
||||
if (x < 1)
|
||||
return(tiny*tiny);
|
||||
else if (_IEEE)
|
||||
return (huge*huge);
|
||||
else
|
||||
return (infnan(ERANGE));
|
||||
|
||||
/* reduce x to z in [sqrt(1/2)-1, sqrt(2)-1] */
|
||||
z=scalb(x,-(n=logb(x)));
|
||||
#if !defined(vax)&&!defined(tahoe) /* IEEE double; subnormal number */
|
||||
if(n <= -1022) {n += (m=logb(z)); z=scalb(z,-m);}
|
||||
#endif /* !defined(vax)&&!defined(tahoe) */
|
||||
if(z >= sqrt2 ) {n += 1; z *= half;} z -= one ;
|
||||
|
||||
/* log(x) = nlog2+log(1+z) ~ nlog2 + t + tx */
|
||||
s=z/(two+z); c=z*z*half; tx=s*(c+log__L(s*s));
|
||||
t= z-(c-tx); tx += (z-t)-c;
|
||||
|
||||
/* if y*log(x) is neither too big nor too small */
|
||||
if((s=logb(y)+logb(n+t)) < 12.0)
|
||||
if(s>-60.0) {
|
||||
|
||||
/* compute y*log(x) ~ mlog2 + t + c */
|
||||
s=y*(n+invln2*t);
|
||||
m=s+copysign(half,s); /* m := nint(y*log(x)) */
|
||||
/* (long int) (double) LONG_MIN overflows on some systems. */
|
||||
if (y >= (double) LONG_MIN + 1 && y <= (double) LONG_MAX &&
|
||||
(double) (long int) y == y)
|
||||
{
|
||||
/* Y is an integer */
|
||||
k = m - (long int) y * n;
|
||||
sx=t; tx+=(t-sx); }
|
||||
else { /* if y is not an integer */
|
||||
k =m;
|
||||
tx+=n*ln2lo;
|
||||
sx=(c=n*ln2hi)+t; tx+=(c-sx)+t; }
|
||||
/* end of reductions for integral/nonintegral y */
|
||||
|
||||
sy=y; ty=y-sy; /* y ~ sy + ty */
|
||||
#ifdef tahoe
|
||||
s = (tahoe_tmp = sx)*sy-k*ln2hi;
|
||||
#else /* tahoe */
|
||||
s=(double)sx*sy-k*ln2hi; /* (sy+ty)*(sx+tx)-kln2 */
|
||||
#endif /* tahoe */
|
||||
z=(tx*ty-k*ln2lo);
|
||||
tx=tx*sy; ty=sx*ty;
|
||||
t=ty+z; t+=tx; t+=s;
|
||||
c= -((((t-s)-tx)-ty)-z);
|
||||
|
||||
/* return exp(y*log(x)) */
|
||||
t += exp__E(t,c); return(scalb(one+t,m));
|
||||
}
|
||||
/* end of if log(y*log(x)) > -60.0 */
|
||||
|
||||
else
|
||||
/* exp(+- tiny) = 1 with inexact flag */
|
||||
{ln2hi+ln2lo; return(one);}
|
||||
else if(copysign(one,y)*(n+invln2*t) <zero)
|
||||
/* exp(-(big#)) underflows to zero */
|
||||
return(scalb(one,-5000));
|
||||
else
|
||||
/* exp(+(big#)) overflows to INF */
|
||||
return(scalb(one, 5000));
|
||||
/* Return exp(y*log(x)), using simulated extended */
|
||||
/* precision for the log and the multiply. */
|
||||
|
||||
s = __log__D(x);
|
||||
t.a = y;
|
||||
TRUNC(t.a);
|
||||
t.b = y - t.a;
|
||||
t.b = s.b*y + t.b*s.a;
|
||||
t.a *= s.a;
|
||||
s.a = t.a + t.b;
|
||||
s.b = (t.a - s.a) + t.b;
|
||||
return (__exp__D(s.a, s.b));
|
||||
}
|
||||
#endif /* mc68881 */
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1987 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1987, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)sincos.c 5.5 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)sincos.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
#include "trig.h"
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)sinh.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)sinh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* SINH(X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1987 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1987, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)tan.c 5.5 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)tan.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
#include "trig.h"
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)tanh.c 5.5 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)tanh.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/* TANH(X)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1987 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1987, 1993
|
||||
* The 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
|
||||
|
|
@ -30,7 +30,7 @@
|
|||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||||
* SUCH DAMAGE.
|
||||
*
|
||||
* @(#)trig.h 5.6 (Berkeley) 10/9/90
|
||||
* @(#)trig.h 8.1 (Berkeley) 6/4/93
|
||||
*/
|
||||
|
||||
#include "mathimpl.h"
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)cbrt.c 5.9 (Berkeley) 2/13/91";
|
||||
static char sccsid[] = "@(#)cbrt.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
#include <sys/cdefs.h>
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1985 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1985, 1993
|
||||
* The 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
|
||||
|
|
@ -32,7 +32,7 @@
|
|||
*/
|
||||
|
||||
#ifndef lint
|
||||
static char sccsid[] = "@(#)support.c 5.6 (Berkeley) 10/9/90";
|
||||
static char sccsid[] = "@(#)support.c 8.1 (Berkeley) 6/4/93";
|
||||
#endif /* not lint */
|
||||
|
||||
/*
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* Copyright (c) 1982, 1986, 1988 Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1982, 1986, 1988, 1993
|
||||
* The 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
|
||||
|
|
@ -30,13 +30,9 @@
|
|||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||||
* SUCH DAMAGE.
|
||||
*
|
||||
* from: @(#)reboot.h 7.6 (Berkeley) 6/28/90
|
||||
* $Id$
|
||||
* @(#)reboot.h 8.1 (Berkeley) 6/2/93
|
||||
*/
|
||||
|
||||
#ifndef _SYS_REBOOT_H_
|
||||
#define _SYS_REBOOT_H_
|
||||
|
||||
/*
|
||||
* Arguments to reboot system call.
|
||||
* These are passed to boot program in r11,
|
||||
|
|
@ -53,6 +49,7 @@
|
|||
#define RB_KDB 0x40 /* give control to kernel debugger */
|
||||
#define RB_RDONLY 0x80 /* mount root fs read-only */
|
||||
#define RB_DUMP 0x100 /* dump kernel memory before reboot */
|
||||
#define RB_MINIROOT 0x200 /* mini-root present in memory at boot time */
|
||||
|
||||
/*
|
||||
* Constants for converting boot-style device number to type,
|
||||
|
|
@ -89,5 +86,3 @@
|
|||
(((type) << B_TYPESHIFT) | ((adaptor) << B_ADAPTORSHIFT) | \
|
||||
((controller) << B_CONTROLLERSHIFT) | ((unit) << B_UNITSHIFT) | \
|
||||
((partition) << B_PARTITIONSHIFT) | B_DEVMAGIC)
|
||||
|
||||
#endif /* !_SYS_REBOOT_H_ */
|
||||
|
|
|
|||
|
|
@ -1,22 +1,36 @@
|
|||
/*
|
||||
* Copyright (c) 1982 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1982, 1993
|
||||
* The Regents of the University of California. All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms are permitted
|
||||
* provided that: (1) source distributions retain this entire copyright
|
||||
* notice and comment, and (2) distributions including binaries display
|
||||
* the following acknowledgement: ``This product includes software
|
||||
* developed by the University of California, Berkeley and its contributors''
|
||||
* in the documentation or other materials provided with the distribution
|
||||
* and in all advertising materials mentioning features or use of this
|
||||
* software. 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 ``AS IS'' AND WITHOUT ANY EXPRESS OR
|
||||
* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
|
||||
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
|
||||
* 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.
|
||||
*
|
||||
* @(#)DEFS.h 5.3 (Berkeley) 6/1/90
|
||||
* 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.
|
||||
*
|
||||
* @(#)DEFS.h 8.1 (Berkeley) 6/4/93
|
||||
*/
|
||||
|
||||
#define R0 0x001
|
||||
|
|
|
|||
|
|
@ -1,6 +1,11 @@
|
|||
/*-
|
||||
* Copyright (c) 1982, 1986 The Regents of the University of California.
|
||||
* All rights reserved.
|
||||
* Copyright (c) 1982, 1986, 1993
|
||||
* The Regents of the University of California. All rights reserved.
|
||||
* (c) UNIX System Laboratories, Inc.
|
||||
* All or some portions of this file are derived from material licensed
|
||||
* to the University of California by American Telephone and Telegraph
|
||||
* Co. or Unix System Laboratories, Inc. and are reproduced herein with
|
||||
* the permission of UNIX System Laboratories, Inc.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
* modification, are permitted provided that the following conditions
|
||||
|
|
@ -30,14 +35,14 @@
|
|||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
|
||||
* SUCH DAMAGE.
|
||||
*
|
||||
* @(#)ttydefaults.h 7.9 (Berkeley) 5/9/91
|
||||
* @(#)ttydefaults.h 8.4 (Berkeley) 1/21/94
|
||||
*/
|
||||
|
||||
/*
|
||||
* System wide defaults for terminal state.
|
||||
*/
|
||||
#ifndef _TTYDEFAULTS_H_
|
||||
#define _TTYDEFAULTS_H_
|
||||
#ifndef _SYS_TTYDEFAULTS_H_
|
||||
#define _SYS_TTYDEFAULTS_H_
|
||||
|
||||
/*
|
||||
* Defaults on "first" open.
|
||||
|
|
@ -53,10 +58,10 @@
|
|||
*/
|
||||
#define CTRL(x) (x&037)
|
||||
#define CEOF CTRL('d')
|
||||
#define CEOL ((unsigned)'\377') /* XXX avoid _POSIX_VDISABLE */
|
||||
#define CEOL ((unsigned char)'\377') /* XXX avoid _POSIX_VDISABLE */
|
||||
#define CERASE 0177
|
||||
#define CINTR CTRL('c')
|
||||
#define CSTATUS ((unsigned)'\377') /* XXX avoid _POSIX_VDISABLE */
|
||||
#define CSTATUS ((unsigned char)'\377') /* XXX avoid _POSIX_VDISABLE */
|
||||
#define CKILL CTRL('u')
|
||||
#define CMIN 1
|
||||
#define CQUIT 034 /* FS, ^\ */
|
||||
|
|
@ -76,7 +81,7 @@
|
|||
#define CFLUSH CDISCARD
|
||||
|
||||
/* PROTECTED INCLUSION ENDS HERE */
|
||||
#endif /* !_TTYDEFAULTS_H_ */
|
||||
#endif /* !_SYS_TTYDEFAULTS_H_ */
|
||||
|
||||
/*
|
||||
* #define TTYDEFCHARS to include an array of default control characters.
|
||||
|
|
@ -84,9 +89,8 @@
|
|||
#ifdef TTYDEFCHARS
|
||||
cc_t ttydefchars[NCCS] = {
|
||||
CEOF, CEOL, CEOL, CERASE, CWERASE, CKILL, CREPRINT,
|
||||
(cc_t) _POSIX_VDISABLE, CINTR, CQUIT, CSUSP, CDSUSP,
|
||||
CSTART, CSTOP, CLNEXT, CDISCARD, CMIN, CTIME, CSTATUS,
|
||||
(cc_t) _POSIX_VDISABLE
|
||||
_POSIX_VDISABLE, CINTR, CQUIT, CSUSP, CDSUSP, CSTART, CSTOP, CLNEXT,
|
||||
CDISCARD, CMIN, CTIME, CSTATUS, _POSIX_VDISABLE
|
||||
};
|
||||
#undef TTYDEFCHARS
|
||||
#endif /* TTYDEFCHARS */
|
||||
#endif
|
||||
|
|
|
|||
Loading…
Reference in New Issue