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authorUlrich Drepper <drepper@redhat.com>1996-10-06 02:05:11 +0000
committerUlrich Drepper <drepper@redhat.com>1996-10-06 02:05:11 +0000
commitcccda09fd700b0720f2ec3c7c516e0fedca4a6c2 (patch)
tree5315e37ded435676bc9fff5462811cb85af47994 /sysdeps/libm-ieee754/s_log1p.c
parent106b47fccffad8b701393adfe0bff6aa8abb9852 (diff)
Sun Oct 6 02:05:52 1996 Ulrich Drepper <drepper@cygnus.com> * posix/getopt.c: Add casts to prevent warnings. * posix/regex.c: Likewise. * math/Makefile (long-m-routines, long-m-yes): Define to correct values to make `long double' functions available. (distribute): Add $(long-m-yes:=.c). * sysdeps/libm-i387/s_ceill.S: Correct loading of return value. Use long double instruction. * sysdeps/libm-ieee754/e_atanhl.c (huge): Correct constant. * sysdeps/libm-ieee754/e_asinhl.c: Likewise. * sysdeps/libm-ieee754/s_tanhl.c: Likewise. * sysdeps/libm-ieee754/e_coshl.c: New file. * sysdeps/libm-ieee754/s_asinh.c [!NO_LONG_DOUBLE]: Define names for `long double' version as alias. * sysdeps/libm-ieee754/s_atan.c: Likewise. * sysdeps/libm-ieee754/s_cbrt.c: Likewise. * sysdeps/libm-ieee754/s_ceil.c: Likewise. * sysdeps/libm-ieee754/s_copysign.c: Likewise. * sysdeps/libm-ieee754/s_cos.c: Likewise. * sysdeps/libm-ieee754/s_erf.c: Likewise. * sysdeps/libm-ieee754/s_expm1.c: Likewise. * sysdeps/libm-ieee754/s_fabs.c: Likewise. * sysdeps/libm-ieee754/s_finite.c: Likewise. * sysdeps/libm-ieee754/s_floor.c: Likewise. * sysdeps/libm-ieee754/s_frexp.c: Likewise. * sysdeps/libm-ieee754/s_ilogb.c: Likewise. * sysdeps/libm-ieee754/s_ldexp.c: Likewise. * sysdeps/libm-ieee754/s_log1p.c: Likewise. * sysdeps/libm-ieee754/s_logb.c: Likewise. * sysdeps/libm-ieee754/s_modf.c: Likewise. * sysdeps/libm-ieee754/s_nextafter.c: Likewise. * sysdeps/libm-ieee754/s_rint.c: Likewise. * sysdeps/libm-ieee754/s_scalbn.c: Likewise. * sysdeps/libm-ieee754/s_significand.c: Likewise. * sysdeps/libm-ieee754/s_sin.c: Likewise. * sysdeps/libm-ieee754/s_tan.c: Likewise. * sysdeps/libm-ieee754/s_tanh.c: Likewise. * sysdeps/libm-ieee754/w_acos.c: Likewise. * sysdeps/libm-ieee754/w_acosh.c: Likewise. * sysdeps/libm-ieee754/w_sin.c: Likewise. * sysdeps/libm-ieee754/w_atan2.c: Likewise. * sysdeps/libm-ieee754/w_atanh.c: Likewise. * sysdeps/libm-ieee754/w_cabs.c: Likewise. * sysdeps/libm-ieee754/w_cosh.c: Likewise. * sysdeps/libm-ieee754/w_drem.c: Likewise. * sysdeps/libm-ieee754/w_exp.c: Likewise. * sysdeps/libm-ieee754/w_fmod.c: Likewise. * sysdeps/libm-ieee754/w_gamma.c: Likewise. * sysdeps/libm-ieee754/w_gamma_r.c: Likewise. * sysdeps/libm-ieee754/w_hypot.c: Likewise. * sysdeps/libm-ieee754/w_j0.c: Likewise. * sysdeps/libm-ieee754/w_j1.c: Likewise. * sysdeps/libm-ieee754/w_jn.c: Likewise. * sysdeps/libm-ieee754/w_lgamma.c: Likewise. * sysdeps/libm-ieee754/w_lgamma_r.c: Likewise. * sysdeps/libm-ieee754/w_log.c: Likewise. * sysdeps/libm-ieee754/w_log10.c: Likewise. * sysdeps/libm-ieee754/w_pow.c: Likewise. * sysdeps/libm-ieee754/w_remainder.c: Likewise. * sysdeps/libm-ieee754/w_scalb.c: Likewise. * sysdeps/libm-ieee754/w_sinh.c: Likewise. * sysdeps/libm-ieee754/w_sqrt.c: Likewise. Stub files for missing long double math functions. * sysdeps/stub/e_acoshl.c: New file. * sysdeps/stub/e_hypotl.c: New file. * sysdeps/stub/e_j0l.c: New file. * sysdeps/stub/e_j1l.c: New file. * sysdeps/stub/e_jnl.c: New file. * sysdeps/stub/e_lgammal_r.c: New file. * sysdeps/stub/e_powl.c: New file. * sysdeps/stub/e_rem_pio2l.c: New file. * sysdeps/stub/e_sinhl.c: New file. * sysdeps/stub/k_cosl.c: New file. * sysdeps/stub/k_rem_pio2l.c: New file. * sysdeps/stub/k_sinl.c: New file. * sysdeps/stub/k_tanl.c: New file. * sysdeps/stub/s_erfl.c: New file. * sysdeps/stub/s_expm1l.c: New file. * sysdeps/i386/__longjmp.S: Use PSEUDO_END macro to provide .size directive. * sysdeps/i386/bsd-_setjmp.S: Likewise. * sysdeps/i386/bsd-setjmp.S: Likewise. * sysdeps/i386/memchr.S: Likewise. * sysdeps/i386/memcmp.S: Likewise. * sysdeps/i386/setjmp.S: Likewise. * sysdeps/i386/stpcpy.S: Likewise. * sysdeps/i386/stpncpy.S: Likewise. * sysdeps/i386/strchr.S: Likewise. * sysdeps/i386/strcspn.S: Likewise. * sysdeps/i386/strpbrk.S: Likewise. * sysdeps/i386/strrchr.S: Likewise. * sysdeps/i386/strspn.S: Likewise. * sysdeps/i386/strtok.S: Likewise. * sysdeps/i386/i486/strcat.S: Likewise. * sysdeps/i386/i486/strlen.S: Likewise. * sysdeps/i386/i586/memset.S: Likewise. * sysdeps/i386/i586/strchr.S: Likewise. * sysdeps/i386/i586/strlen.S: Likewise. * sysdeps/libm-i387/e_acos.S: Likewise. * sysdeps/libm-i387/e_acosl.S: Likewise. * sysdeps/libm-i387/e_asin.S: Likewise. * sysdeps/libm-i387/e_asinl.S: Likewise. * sysdeps/libm-i387/e_atan2.S: Likewise. * sysdeps/libm-i387/e_atan2l.S: Likewise. * sysdeps/libm-i387/e_exp.S: Likewise. * sysdeps/libm-i387/e_expl.S: Likewise. * sysdeps/libm-i387/e_fmod.S: Likewise. * sysdeps/libm-i387/e_fmodl.S: Likewise. * sysdeps/libm-i387/e_log.S: Likewise. * sysdeps/libm-i387/e_log10.S: Likewise. * sysdeps/libm-i387/e_log10l.S: Likewise. * sysdeps/libm-i387/e_logl.S: Likewise. * sysdeps/libm-i387/e_remainder.S: Likewise. * sysdeps/libm-i387/e_remainderf.S: Likewise. * sysdeps/libm-i387/e_remainderl.S: Likewise. * sysdeps/libm-i387/e_scalb.S: Likewise. * sysdeps/libm-i387/e_scalbl.S: Likewise. * sysdeps/libm-i387/e_sqrt.S: Likewise. * sysdeps/libm-i387/e_sqrtf.S: Likewise. * sysdeps/libm-i387/e_sqrtl.S: Likewise. * sysdeps/libm-i387/s_atan.S: Likewise. * sysdeps/libm-i387/s_atanf.S: Likewise. * sysdeps/libm-i387/s_atanl.S: Likewise. * sysdeps/libm-i387/s_ceil.S: Likewise. * sysdeps/libm-i387/s_ceilf.S: Likewise. * sysdeps/libm-i387/s_ceill.S: Likewise. * sysdeps/libm-i387/s_copysign.S: Likewise. * sysdeps/libm-i387/s_copysignf.S: Likewise. * sysdeps/libm-i387/s_copysignl.S: Likewise. * sysdeps/libm-i387/s_cos.S: Likewise. * sysdeps/libm-i387/s_cosf.S: Likewise. * sysdeps/libm-i387/s_cosl.S: Likewise. * sysdeps/libm-i387/s_finite.S: Likewise. * sysdeps/libm-i387/s_finitef.S: Likewise. * sysdeps/libm-i387/s_finitel.S: Likewise. * sysdeps/libm-i387/s_floor.S: Likewise. * sysdeps/libm-i387/s_floorf.S: Likewise. * sysdeps/libm-i387/s_floorl.S: Likewise. * sysdeps/libm-i387/s_ilogb.S: Likewise. * sysdeps/libm-i387/s_ilogbf.S: Likewise. * sysdeps/libm-i387/s_ilogbl.S: Likewise. * sysdeps/libm-i387/s_log1p.S: Likewise. * sysdeps/libm-i387/s_log1pf.S: Likewise. * sysdeps/libm-i387/s_log1pl.S: Likewise. * sysdeps/libm-i387/s_logb.S: Likewise. * sysdeps/libm-i387/s_logbf.S: Likewise. * sysdeps/libm-i387/s_logbl.S: Likewise. * sysdeps/libm-i387/s_rint.S: Likewise. * sysdeps/libm-i387/s_rintf.S: Likewise. * sysdeps/libm-i387/s_rintl.S: Likewise. * sysdeps/libm-i387/s_scalbn.S: Likewise. * sysdeps/libm-i387/s_scalbnf.S: Likewise. * sysdeps/libm-i387/s_scalbnl.S: Likewise. * sysdeps/libm-i387/s_significand.S: Likewise. * sysdeps/libm-i387/s_significandf.S: Likewise. * sysdeps/libm-i387/s_significandl.S: Likewise. * sysdeps/libm-i387/s_sin.S: Likewise. * sysdeps/libm-i387/s_sinf.S: Likewise. * sysdeps/libm-i387/s_sinl.S: Likewise. * sysdeps/libm-i387/s_tan.S: Likewise. * sysdeps/libm-i387/s_tanf.S: Likewise. * sysdeps/libm-i387/s_tanl.S: Likewise. * sysdeps/unix/sysv/linux/i386/clone.S: Add .size directive. * sysdeps/unix/sysv/linux/i386/mmap.S. Likewise. * sysdeps/unix/sysv/linux/i386/socket.S. Likewise. * sysdeps/unix/sysv/linux/i386/sysdep.S. More compact .size line. * sysdeps/i386/sysdep.h (ASM_SIZE_DIRECTIVE): New macro. Used to provide .size directive on ELF systems. * sysdeps/unix/sysv/linux/i386/profil-counter.h: Include <sigcontext.h> and rename parameter type to sigcontext. * sysdeps/unix/sysv/linux/i386/sigcontext.h New file. * sysdeps/unix/sysv/linux/i386/syscall.S: From Linux 2.1 on negative values might occur as positive results. Test against -125 to decide for error or not. * sysdeps/unix/sysv/linux/i386/sysdep.h: Likewise for system calls. Thu Oct 3 21:07:58 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * elf/dl-open.c: Use _DYNAMIC instead of _dl_start to decide whether this is a statically linked program. The latter is now always defined. Fri Oct 4 02:08:10 1996 Bang Jun-Young <bangjy@nownuri.nowcom.co.kr> * po/ko.po: Update. Fri Oct 4 02:07:46 1996 Michel Robitaille <robitail@IRO.UMontreal.CA> * po/fr.po: New file. Fri Oct 4 05:04:52 1996 Ulrich Drepper <drepper@cygnus.com> * sysdeps/unix/sysv/linux/i386/sigcontext.h: New file. Add support for MD5 crypt replacement. * Makefile (subdirs): Add crypt. * shlib-versions: Add entry for libcrypt. * crypt/md5-crypt.c: New file. * crypt/md5.c: New file. * crypt/md5.h: New file. * sysdeps/generic/crypt-entry.c: New file. * sysdeps/generic/crypt.h: New file. Thu Oct 3 20:53:23 1996 Andreas Jaeger <aj@arthur.pfalz.de> * dirent/tst-seekdir.c: Provide correct prototypes. * io/test-utime.c: Likewise. * malloc/mallocbug.c: Likewise. * posix/testfnm.c: Likewise. * stdio-common/xbug.c: Likewise. * sysdeps/posix/cuserid.c: Likewise. Wed Oct 2 13:33:48 1996 Richard Henderson <rth@tamu.edu> Provide optimized string functions for Alpha processors. * sysdeps/alpha/bzero.S: New file. * sysdeps/alpha/memset.S: New file. * sysdeps/alpha/stpcpy.S: New file. * sysdeps/alpha/stpncpy.S: New file. * sysdeps/alpha/strcat.S: New file. * sysdeps/alpha/strchr.S: New file. * sysdeps/alpha/strcpy.S: New file. * sysdeps/alpha/strncat.S: New file. * sysdeps/alpha/strncpy.S: New file. * sysdeps/alpha/strrchr.S: New file. * sysdeps/alpha/stxcpy.S: New file. * sysdeps/alpha/stxncpy.S: New file. * sysdeps/alpha/Makefile [$(sudir)==string]: Add stxcpy and stxncpy to sysdep_routines. Minor correction. Wed Oct 2 13:41:48 1996 Ulrich Drepper <drepper@cygnus.com> * sysdeps/generic/strtok.c: Don't set stored pointer to NULL when notheing is found. This guarantees all subsequent calls behave the same. * sysdeps/generic/strtok_r.c: Likewise. Mon Sep 30 22:27:36 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/posix/tempname.c (__stdio_gen_tempname): Don't declare `i' as const. Mon Sep 30 22:38:29 1996 Richard Henderson <rth@tamu.edu> * sysdeps/generic/strtok.c: When we hit EOS, don't set olds to NULL immediately; we're going to get called one more time. * sysdeps/generic/strtok_r.c: Likewise. Tue Oct 1 09:12:21 1996 Ulrich Drepper <drepper@cygnus.com> * locale/programs/ld-time.c: Always write some bytes at the end of the file even if no `era's are specified. * stdio-common/tmpname.c (tmpbuf): Don't define as array of pointers. Tue Oct 1 01:43:11 1996 Ulrich Drepper <drepper@cygnus.com> * libio/iofclose.c: Move unlocking to right position. Mon Sep 30 03:08:34 1996 Richard Henderson <rth@tamu.edu> * misc/Makefile: Kill force-wrapper. * misc/force-wrapper.c: Delete. * elf/eval.c: Add <string.h>. * gmon/sys/gmon_out.h: Nonsense like `char foo[sizeof(char*)]' followed by `bcopy(&ptr, &foo, sizeof(foo))' helps portability and binary compatibility not at all. Better to do `char *foo' followed by `foo = ptr' as it is much cleaner. (struct gmon_hdr): Fix version. (struct gmon_hist_hdr): Fix low_pc, high_pc, hist_size, prof_rate. (struct gmon_cg_arc_record): Fix from_pc, self_pc, count. * gmon/gmon.c: De-ansidecl-ify. (write_hist): De-bcopy-fy. (write_call_graph): Likewise. * gmon/mcount.c: Assume _MCOUNT_DECL does the entire declaration. * sysdeps/alpha/machine-gmon.h: Update _MCOUNT_DECL. * sysdeps/generic/machine-gmon.h: Likewise. * resolv/netdb.h: Add __set_h_errno to mimic __set_errno. * nss/getXXent_r.c: Use __set_h_errno to set h_errno in all funcs. * nss/nss_dns/dns-network.c: Likewise. * resolv/getunamaddr.c: Likewise. Also use __set_errno where needed. * resolv/getnetnamadr.c: Likewise. * resolv/res_debug.c: Likewise. * resolv/res_mkquery.c: Likewise. * resolv/res_query.c: Likewise. * libio/clearerr_u.c: It's not necessary to define __ protected function so don't do it. * libio/feof_u.c, libio/ferror_u.c, libio/fputc_u.c, libio/getc_u.c, libio/getchar_u.c, libio/iofflush_u.c: Likewise. * libio/fgetc.c: Avoid a warning by casting _IO_funlockfile for the cleanup registrar. * libio/fputc.c, libio/freopen.c, libio/fseek.c, libio/getc.c, libio/getchar.c, libio/iofclose.c, libio/iofflush.c, libio/iofgetpos.c, libio/iofgets.c, libio/iofputs.c, libio/iofread.c, libio/iofsetpos.c, libio/ioftell.c, libio/iofwrite.c, libio/iogetdelim.c, libio/iogets.c, libio/ioputs.c, libio/iosetbuffer.c, libio/iosetvbuf.c, libio/ioungetc.c, libio/putc.c, libio/putchar.c, libio/rewind.c: Likewise. * locale/programs/ld-ctype.c: Include <alloca.h>. * login/login_tty.c: Get login_tty prototype from <utmp.h>. * posix/sys/types.h: Change #defines to typedefs. This is looking forward to more comprehensive namespace cleanups for C++. * posix/unistd.h: Likewise for ssize_t. * pwd/getpw.c: Prototype and rename getpw -> __getpw and add a weak alias. * resolv/base64.c: Don't do `for (NULL; ...)' as it causes `statement with no effect' warnings. * resolv/inet_neta.c: Include <string.h> for strlen. * stdio-common/getline.c: Undef ssize_t before libio redefinition. * stdio-common/tstgetln.c: Same. De-ansidecl-ify. * stdio-common/vfprintf.c: Same for va_list. * stdio-common/vfscanf.c: Same. * stdio-common/reg-printf.c: Prototype the __ function. * stdio-common/scanf.c [USE_IN_LIBIO]: Include <libioP.h> for _IO_vscanf declaration. * string/tester.c: Tsk, tsk. Don't cast pointers to int, but to unsigned long for the health of 64-bit systems. * sunrpc/svc_udp.c: Define MAX only if we don't have it yet. Many system's <sys/param.h> pulls this in. * sysdeps/generic/dl-cache.c: Kill the bottom half of the patch doubled file. * sysdeps/generic/pty.c (forkpty): Get login_tty decl from <utmp.h> instead of defining it locally. * sysdeps/posix/sigvec.c: Prototype wrapper_handler and convert_mask. * sysdeps/stub/chflags.c: Prototype chflags. * sysdeps/stub/fchflags.c: Prototype fchflags. * sysdeps/stub/sstk.c: Prototype sstk. * sysdeps/unix/alpha/sysdep.S: Add strong alias from errno variable to __errno. Update __syscall_error to store to both the global and per-thread variables. * sysdeps/unix/sysv/linux/init-first.c: Change include of init-first.h from "" to <> as "" does not search the include path. Prototype _dl_start. Sun Sep 29 14:41:17 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/unix/Makefile ($(common-objpfx)s-proto.d): Make it a pattern rule to get the right stem. Sat Sep 28 01:30:06 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * Makefile ($(objpfx)version-info.h): Fix typo in previous change. Sat Sep 28 00:44:38 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/posix/euidaccess.c (__set_errno): Fix typo. Sat Sep 28 00:40:38 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * malloc/free.c (_free_internal): Don't call free recursively, use the internal functions instead. Sat Sep 28 00:23:20 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * sysdeps/posix/tempname.c (__stdio_gen_tempname) [USE_IN_LIBIO && _IO_MTSAFE_IO]: Allocate and initialize the file lock. Fri Sep 27 23:58:17 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de> * catgets/gencat.c (main): Print version information on stdout, not stderr. * db/makedb.c: Likewise. * locale/programs/locale.c: Likewise. * locale/programs/localedef.c: Likewise. Mon Sep 30 00:14:26 1996 Ulrich Drepper <drepper@cygnus.com> Add implementation of netgroup. * inet/Makefile (distributes): Add netgroup.h. (routines): Add getnetgrent.c and getnetgrent_r.c. * inet/getnetgrent.c: New file. * inet/getnetgrent_r.c: New file. * inet/netgroup.h: New file. * netgroup.h: New file. * nsswitch.h: New file. * nss/Makefile (databases): Add getgrp. * nss/databases.def: Add netgroup. * nss/db-Makefile: Add rules for netgroup. * nss/netgrp-lookup.c: New file. * nss/nss.h: Add new status value NSS_STATUS_RETURN which will always return without a check of the transition table. * nss/nsswitch.h (struct service_user): Extend actions array to five elements. * nss/nsswitch.c (__nss_next): Allow NSS_STATUS_RETURN as legal status value. (nss_parse_service_list): Initialize action for NSS_STATUS_RETURN to NSS_ACTION_RETURN. * nss/nss_db/db-netgrp.c: New file. * nss/nss_files/files-netgrp.c: New file. * nss/nsswitch.conf: Add entry for netgroup. * resolv/netdb.h: Add prototypes for netgroup functions. * nss/nss_db/db-XXX.c: Use `enum nss_status' type when status value is used. Sun Sep 29 12:55:58 1996 Ulrich Drepper <drepper@cygnus.com> * sysdeps/unix/sysv/linux/syscalls.list: Change funciton name for _llseek to _llseek (not llseek). Reported by Matthias Urlichs <smurf@smurf.noris.de>. Sun Sep 29 05:34:32 1996 Ulrich Drepper <drepper@cygnus.com> * inet/rcmd.c: Remove definition of MIN. Sat Sep 28 14:22:51 1996 Ulrich Drepper <drepper@cygnus.com> * dirent/readdir_r.c: Removed. We indeed need a real implementation. * sysdeps/unix/readdir_r.c: New file. * sysdeps/unix/readdir.c: Remove check for correct parameter values. Let them simply die. * manual/filesys.texi: Document readdir_r. * sysdeps/gnu/errlist.awk: Define _sys_errlist as `const char* const'. Proposed by Per Abrahamsen <abraham@dina.kvl.dk>.
Diffstat (limited to 'sysdeps/libm-ieee754/s_log1p.c')
-rw-r--r--sysdeps/libm-ieee754/s_log1p.c44
1 files changed, 24 insertions, 20 deletions
diff --git a/sysdeps/libm-ieee754/s_log1p.c b/sysdeps/libm-ieee754/s_log1p.c
index 1e58ccb039..cc380a1091 100644
--- a/sysdeps/libm-ieee754/s_log1p.c
+++ b/sysdeps/libm-ieee754/s_log1p.c
@@ -5,7 +5,7 @@
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
+ * software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
@@ -16,9 +16,9 @@ static char rcsid[] = "$NetBSD: s_log1p.c,v 1.8 1995/05/10 20:47:46 jtc Exp $";
/* double log1p(double x)
*
- * Method :
- * 1. Argument Reduction: find k and f such that
- * 1+x = 2^k * (1+f),
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * 1+x = 2^k * (1+f),
* where sqrt(2)/2 < 1+f < sqrt(2) .
*
* Note. If k=0, then f=x is exact. However, if k!=0, then f
@@ -32,8 +32,8 @@ static char rcsid[] = "$NetBSD: s_log1p.c,v 1.8 1995/05/10 20:47:46 jtc Exp $";
* Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
* = 2s + 2/3 s**3 + 2/5 s**5 + .....,
* = 2s + s*R
- * We use a special Reme algorithm on [0,0.1716] to generate
- * a polynomial of degree 14 to approximate R The maximum error
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
* of this polynomial approximation is bounded by 2**-58.45. In
* other words,
* 2 4 6 8 10 12 14
@@ -41,21 +41,21 @@ static char rcsid[] = "$NetBSD: s_log1p.c,v 1.8 1995/05/10 20:47:46 jtc Exp $";
* (the values of Lp1 to Lp7 are listed in the program)
* and
* | 2 14 | -58.45
- * | Lp1*s +...+Lp7*s - R(z) | <= 2
+ * | Lp1*s +...+Lp7*s - R(z) | <= 2
* | |
* Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
* In order to guarantee error in log below 1ulp, we compute log
* by
* log1p(f) = f - (hfsq - s*(hfsq+R)).
- *
- * 3. Finally, log1p(x) = k*ln2 + log1p(f).
+ *
+ * 3. Finally, log1p(x) = k*ln2 + log1p(f).
* = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
- * Here ln2 is split into two floating point number:
+ * Here ln2 is split into two floating point number:
* ln2_hi + ln2_lo,
* where n*ln2_hi is always exact for |n| < 2000.
*
* Special cases:
- * log1p(x) is NaN with signal if x < -1 (including -INF) ;
+ * log1p(x) is NaN with signal if x < -1 (including -INF) ;
* log1p(+INF) is +INF; log1p(-1) is -INF with signal;
* log1p(NaN) is that NaN with no signal.
*
@@ -64,14 +64,14 @@ static char rcsid[] = "$NetBSD: s_log1p.c,v 1.8 1995/05/10 20:47:46 jtc Exp $";
* 1 ulp (unit 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
+ * 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.
*
* Note: Assuming log() return accurate answer, the following
* algorithm can be used to compute log1p(x) to within a few ULP:
- *
+ *
* u = 1+x;
* if(u==1.0) return x ; else
* return log(u)*(x/(u-1.0));
@@ -132,11 +132,11 @@ static double zero = 0.0;
}
if(hx>0||hx<=((int32_t)0xbfd2bec3)) {
k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
- }
+ }
if (hx >= 0x7ff00000) return x+x;
if(k!=0) {
if(hx<0x43400000) {
- u = 1.0+x;
+ u = 1.0+x;
GET_HIGH_WORD(hu,u);
k = (hu>>20)-1023;
c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */
@@ -151,7 +151,7 @@ static double zero = 0.0;
if(hu<0x6a09e) {
SET_HIGH_WORD(u,hu|0x3ff00000); /* normalize u */
} else {
- k += 1;
+ k += 1;
SET_HIGH_WORD(u,hu|0x3fe00000); /* normalize u/2 */
hu = (0x00100000-hu)>>2;
}
@@ -159,16 +159,20 @@ static double zero = 0.0;
}
hfsq=0.5*f*f;
if(hu==0) { /* |f| < 2**-20 */
- if(f==zero) if(k==0) return zero;
+ if(f==zero) if(k==0) return zero;
else {c += k*ln2_lo; return k*ln2_hi+c;}
R = hfsq*(1.0-0.66666666666666666*f);
if(k==0) return f-R; else
return k*ln2_hi-((R-(k*ln2_lo+c))-f);
}
- s = f/(2.0+f);
+ s = f/(2.0+f);
z = s*s;
R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
if(k==0) return f-(hfsq-s*(hfsq+R)); else
return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
}
weak_alias (__log1p, log1p)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__log1p, __log1pl)
+weak_alias (__log1p, log1pl)
+#endif