From cccda09fd700b0720f2ec3c7c516e0fedca4a6c2 Mon Sep 17 00:00:00 2001 From: Ulrich Drepper Date: Sun, 6 Oct 1996 02:05:11 +0000 Subject: update from main archive 961005 Sun Oct 6 02:05:52 1996 Ulrich Drepper * 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 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 * 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 * po/ko.po: Update. Fri Oct 4 02:07:46 1996 Michel Robitaille * po/fr.po: New file. Fri Oct 4 05:04:52 1996 Ulrich Drepper * 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 * 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 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 * 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 * sysdeps/posix/tempname.c (__stdio_gen_tempname): Don't declare `i' as const. Mon Sep 30 22:38:29 1996 Richard Henderson * 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 * 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 * libio/iofclose.c: Move unlocking to right position. Mon Sep 30 03:08:34 1996 Richard Henderson * misc/Makefile: Kill force-wrapper. * misc/force-wrapper.c: Delete. * elf/eval.c: Add . * 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 . * login/login_tty.c: Get login_tty prototype from . * 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 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 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 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 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 * sysdeps/unix/Makefile ($(common-objpfx)s-proto.d): Make it a pattern rule to get the right stem. Sat Sep 28 01:30:06 1996 Andreas Schwab * Makefile ($(objpfx)version-info.h): Fix typo in previous change. Sat Sep 28 00:44:38 1996 Andreas Schwab * sysdeps/posix/euidaccess.c (__set_errno): Fix typo. Sat Sep 28 00:40:38 1996 Andreas Schwab * malloc/free.c (_free_internal): Don't call free recursively, use the internal functions instead. Sat Sep 28 00:23:20 1996 Andreas Schwab * 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 * 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 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 * sysdeps/unix/sysv/linux/syscalls.list: Change funciton name for _llseek to _llseek (not llseek). Reported by Matthias Urlichs . Sun Sep 29 05:34:32 1996 Ulrich Drepper * inet/rcmd.c: Remove definition of MIN. Sat Sep 28 14:22:51 1996 Ulrich Drepper * 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 . --- sysdeps/libm-ieee754/s_expm1.c | 52 +++++++++++++++++++++++------------------- 1 file changed, 28 insertions(+), 24 deletions(-) (limited to 'sysdeps/libm-ieee754/s_expm1.c') diff --git a/sysdeps/libm-ieee754/s_expm1.c b/sysdeps/libm-ieee754/s_expm1.c index a88ec295d3..c8354b7262 100644 --- a/sysdeps/libm-ieee754/s_expm1.c +++ b/sysdeps/libm-ieee754/s_expm1.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. * ==================================================== */ @@ -21,9 +21,9 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $"; * 1. Argument reduction: * Given x, find r and integer k such that * - * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 + * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 * - * Here a correction term c will be computed to compensate + * Here a correction term c will be computed to compensate * the error in r when rounded to a floating-point number. * * 2. Approximating expm1(r) by a special rational function on @@ -36,9 +36,9 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $"; * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... - * We use a special Reme algorithm on [0,0.347] to generate - * a polynomial of degree 5 in r*r to approximate R1. The - * maximum error of this polynomial approximation is bounded + * We use a special Reme algorithm on [0,0.347] to generate + * a polynomial of degree 5 in r*r to approximate R1. The + * maximum error of this polynomial approximation is bounded * by 2**-61. In other words, * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 * where Q1 = -1.6666666666666567384E-2, @@ -49,28 +49,28 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $"; * (where z=r*r, and the values of Q1 to Q5 are listed below) * with error bounded by * | 5 | -61 - * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 + * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 * | | - * - * expm1(r) = exp(r)-1 is then computed by the following - * specific way which minimize the accumulation rounding error: + * + * expm1(r) = exp(r)-1 is then computed by the following + * specific way which minimize the accumulation rounding error: * 2 3 * r r [ 3 - (R1 + R1*r/2) ] * expm1(r) = r + --- + --- * [--------------------] * 2 2 [ 6 - r*(3 - R1*r/2) ] - * + * * To compensate the error in the argument reduction, we use - * expm1(r+c) = expm1(r) + c + expm1(r)*c - * ~ expm1(r) + c + r*c + * expm1(r+c) = expm1(r) + c + expm1(r)*c + * ~ expm1(r) + c + r*c * Thus c+r*c will be added in as the correction terms for - * expm1(r+c). Now rearrange the term to avoid optimization + * expm1(r+c). Now rearrange the term to avoid optimization * screw up: * ( 2 2 ) * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) * ( ) - * + * * = r - E * 3. Scale back to obtain expm1(x): * From step 1, we have @@ -87,7 +87,7 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $"; * else return 1.0+2.0*(r-E); * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else - * (vii) return 2^k(1-((E+2^-k)-r)) + * (vii) return 2^k(1-((E+2^-k)-r)) * * Special cases: * expm1(INF) is INF, expm1(NaN) is NaN; @@ -99,12 +99,12 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $"; * 1 ulp (unit in the last place). * * Misc. info. - * For IEEE double + * For IEEE double * if x > 7.09782712893383973096e+02 then expm1(x) overflow * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the + * 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. */ @@ -153,7 +153,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ if(hx>=0x7ff00000) { u_int32_t low; GET_LOW_WORD(low,x); - if(((hx&0xfffff)|low)!=0) + if(((hx&0xfffff)|low)!=0) return x+x; /* NaN */ else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */ } @@ -166,7 +166,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ } /* argument reduction */ - if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ if(xsb==0) {hi = x - ln2_hi; lo = ln2_lo; k = 1;} @@ -180,10 +180,10 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ } x = hi - lo; c = (hi-x)-lo; - } + } else if(hx < 0x3c900000) { /* when |x|<2**-54, return x */ t = huge+x; /* return x with inexact flags when x!=0 */ - return x - (t-(huge+x)); + return x - (t-(huge+x)); } else k = 0; @@ -198,7 +198,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ e = (x*(e-c)-c); e -= hxs; if(k== -1) return 0.5*(x-e)-0.5; - if(k==1) + if(k==1) if(x < -0.25) return -2.0*(e-(x+0.5)); else return one+2.0*(x-e); if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */ @@ -227,3 +227,7 @@ Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */ return y; } weak_alias (__expm1, expm1) +#ifdef NO_LONG_DOUBLE +strong_alias (__expm1, __expm1l) +weak_alias (__expm1, expm1l) +#endif -- cgit 1.4.1