Mercurial > hg > octave-kai > gnulib-hg
view lib/expl.c @ 16366:bb182ee4a09d
maint: replace FSF snail-mail addresses with URLs
* config/argz.mk, lib/accept4.c, lib/alignof.h, lib/alloca.in.h:
* lib/alphasort.c, lib/arcfour.c, lib/arcfour.h, lib/arctwo.c:
* lib/arctwo.h, lib/argz.c, lib/arpa_inet.in.h, lib/asnprintf.c:
* lib/asprintf.c, lib/assert.in.h, lib/base32.c, lib/base32.h:
* lib/base64.c, lib/base64.h, lib/c-ctype.c, lib/c-ctype.h:
* lib/c-strcase.h, lib/c-strcasecmp.c, lib/c-strncasecmp.c:
* lib/check-version.c, lib/check-version.h, lib/config.charset:
* lib/ctype.in.h, lib/des.c, lib/des.h, lib/dup3.c, lib/errno.in.h:
* lib/float+.h, lib/fnmatch.c, lib/fnmatch.in.h, lib/fnmatch_loop.c:
* lib/fseeko.c, lib/gai_strerror.c, lib/gc-gnulib.c:
* lib/gc-libgcrypt.c, lib/gc-pbkdf2-sha1.c, lib/gc.h:
* lib/getaddrinfo.c, lib/getdelim.c, lib/getfilecon.c, lib/getline.c:
* lib/getlogin_r.c, lib/getpass.c, lib/getpass.h, lib/gettext.h:
* lib/gettimeofday.c, lib/glob.in.h, lib/glthread/cond.c:
* lib/glthread/cond.h, lib/glthread/lock.c, lib/glthread/lock.h:
* lib/glthread/thread.c, lib/glthread/thread.h:
* lib/glthread/threadlib.c, lib/glthread/yield.h, lib/hmac-md5.c:
* lib/hmac-sha1.c, lib/hmac.h, lib/iconv.c, lib/iconv.in.h:
* lib/iconv_close.c, lib/iconv_open.c, lib/inet_ntop.c, lib/isfinite.c:
* lib/isinf.c, lib/iswblank.c, lib/langinfo.in.h, lib/link.c:
* lib/localcharset.c, lib/localcharset.h, lib/lseek.c, lib/malloc.c:
* lib/malloca.c, lib/malloca.h, lib/md2.c, lib/md2.h, lib/md4.c:
* lib/md4.h, lib/md5.c, lib/md5.h, lib/memmem.c, lib/mempcpy.c:
* lib/memset.c, lib/memxor.c, lib/memxor.h, lib/minmax.h, lib/mktime.c:
* lib/msvc-inval.c, lib/msvc-inval.h, lib/msvc-nothrow.c:
* lib/msvc-nothrow.h, lib/netdb.in.h, lib/netinet_in.in.h, lib/nproc.c:
* lib/nproc.h, lib/obstack_printf.c, lib/pathmax.h, lib/pipe.c:
* lib/pipe2.c, lib/poll.c, lib/poll.in.h, lib/printf-args.c:
* lib/printf-args.h, lib/printf-parse.c, lib/printf-parse.h:
* lib/pselect.c, lib/pthread.in.h, lib/pty-private.h, lib/pty.in.h:
* lib/read-file.c, lib/read-file.h, lib/ref-add.sin, lib/ref-del.sin:
* lib/regcomp.c, lib/regex.c, lib/regex.h, lib/regex_internal.c:
* lib/regex_internal.h, lib/regexec.c, lib/rijndael-alg-fst.c:
* lib/rijndael-alg-fst.h, lib/rijndael-api-fst.c:
* lib/rijndael-api-fst.h, lib/rint.c, lib/rintf.c, lib/rintl.c:
* lib/round.c, lib/roundf.c, lib/roundl.c, lib/scandir.c, lib/select.c:
* lib/sha1.c, lib/sha1.h, lib/size_max.h, lib/snprintf.c:
* lib/stdalign.in.h, lib/stdarg.in.h, lib/stdbool.in.h:
* lib/stddef.in.h, lib/stdint.in.h, lib/stdio.in.h, lib/str-kmp.h:
* lib/str-two-way.h, lib/strcasecmp.c, lib/strcasestr.c, lib/strdup.c:
* lib/striconv.c, lib/striconv.h, lib/string.in.h, lib/strings.in.h:
* lib/strncasecmp.c, lib/strndup.c, lib/strnlen.c, lib/strpbrk.c:
* lib/strptime.c, lib/strsep.c, lib/strstr.c, lib/strverscmp.c:
* lib/sys_file.in.h, lib/sys_ioctl.in.h, lib/sys_select.in.h:
* lib/sys_socket.in.h, lib/sys_stat.in.h, lib/sys_time.in.h:
* lib/sys_times.in.h, lib/sys_types.in.h, lib/sys_uio.in.h:
* lib/sys_utsname.in.h, lib/sys_wait.in.h, lib/tcgetsid.c:
* lib/termios.in.h, lib/time.in.h, lib/time_r.c, lib/timegm.c:
* lib/times.c, lib/unictype/3level.h, lib/unictype/3levelbit.h:
* lib/unistd.in.h, lib/vasnprintf.c, lib/vasnprintf.h, lib/vasprintf.c:
* lib/vsnprintf.c, lib/waitpid.c, lib/wchar.in.h, lib/wctype.in.h:
* lib/xsize.h, tests/test-closein.c, tests/test-des.c:
* tests/test-fclose.c, tests/test-fgetc.c, tests/test-filevercmp.c:
* tests/test-fputc.c, tests/test-fread.c, tests/test-fwrite.c:
* tests/test-gc-arcfour.c, tests/test-gc-arctwo.c, tests/test-gc-des.c:
* tests/test-gc-hmac-md5.c, tests/test-gc-hmac-sha1.c:
* tests/test-gc-md2.c, tests/test-gc-md4.c, tests/test-gc-md5.c:
* tests/test-gc-pbkdf2-sha1.c, tests/test-gc-rijndael.c:
* tests/test-gc-sha1.c, tests/test-gc.c, tests/test-getdelim.c:
* tests/test-getline.c, tests/test-getndelim2.c, tests/test-md2.c:
* tests/test-md4.c, tests/test-parse-datetime.c, tests/test-perror.c:
* tests/test-perror2.c, tests/test-pipe.c, tests/test-pipe2.c:
* tests/test-poll.c, tests/test-quotearg-simple.c:
* tests/test-quotearg.c, tests/test-quotearg.h:
* tests/test-round-ieee.c, tests/test-round1.c:
* tests/test-roundf-ieee.c, tests/test-roundf1.c:
* tests/test-roundl-ieee.c, tests/test-roundl.c:
* tests/test-safe-alloc.c, tests/test-sigpipe.c:
* tests/test-spawn-pipe-child.c, tests/test-spawn-pipe-main.c:
* tests/test-strerror.c, tests/test-strerror_r.c:
* tests/test-strsignal.c, tests/test-strverscmp.c:
* tests/test-xmemdup0.c:
Replace FSF snail mail addresses with URLs, as per GNU coding
standards. See glibc bug
<http://sourceware.org/bugzilla/show_bug.cgi?id=13673>.
author | Paul Eggert <eggert@cs.ucla.edu> |
---|---|
date | Thu, 09 Feb 2012 21:39:05 -0800 (2012-02-10) |
parents | a712776b11ce |
children | 2074f2bf7216 |
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/* Emulation for expl. Contributed by Paolo Bonzini Copyright 2002-2003, 2007, 2009-2012 Free Software Foundation, Inc. This file is part of gnulib. This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <http://www.gnu.org/licenses/>. */ #include <config.h> /* Specification. */ #include <math.h> #if HAVE_SAME_LONG_DOUBLE_AS_DOUBLE long double expl (long double x) { return exp (x); } #else # include <float.h> static const long double C[] = { /* Chebyshev polynomial coefficients for (exp(x)-1)/x */ # define P1 C[0] # define P2 C[1] # define P3 C[2] # define P4 C[3] # define P5 C[4] # define P6 C[5] 0.5L, 1.66666666666666666666666666666666683E-01L, 4.16666666666666666666654902320001674E-02L, 8.33333333333333333333314659767198461E-03L, 1.38888888889899438565058018857254025E-03L, 1.98412698413981650382436541785404286E-04L, /* Smallest integer x for which e^x overflows. */ # define himark C[6] 11356.523406294143949491931077970765L, /* Largest integer x for which e^x underflows. */ # define lomark C[7] -11433.4627433362978788372438434526231L, /* very small number */ # define TINY C[8] 1.0e-4900L, /* 2^16383 */ # define TWO16383 C[9] 5.94865747678615882542879663314003565E+4931L}; long double expl (long double x) { /* Check for usual case. */ if (x < himark && x > lomark) { int exponent; long double t, x22; int k = 1; long double result = 1.0; /* Compute an integer power of e with a granularity of 0.125. */ exponent = (int) floorl (x * 8.0L); x -= exponent / 8.0L; if (x > 0.0625) { exponent++; x -= 0.125L; } if (exponent < 0) { t = 0.8824969025845954028648921432290507362220L; /* e^-0.25 */ exponent = -exponent; } else t = 1.1331484530668263168290072278117938725655L; /* e^0.25 */ while (exponent) { if (exponent & k) { result *= t; exponent ^= k; } t *= t; k <<= 1; } /* Approximate (e^x - 1)/x, using a seventh-degree polynomial, with maximum error in [-2^-16-2^-53,2^-16+2^-53] less than 4.8e-39. */ x22 = x + x*x*(P1+x*(P2+x*(P3+x*(P4+x*(P5+x*P6))))); return result + result * x22; } /* Exceptional cases: */ else if (x < himark) { if (x + x == x) /* e^-inf == 0, with no error. */ return 0; else /* Underflow */ return TINY * TINY; } else /* Return x, if x is a NaN or Inf; or overflow, otherwise. */ return TWO16383*x; } #endif #if 0 int main (void) { printf ("%.16Lg\n", expl (1.0L)); printf ("%.16Lg\n", expl (-1.0L)); printf ("%.16Lg\n", expl (2.0L)); printf ("%.16Lg\n", expl (4.0L)); printf ("%.16Lg\n", expl (-2.0L)); printf ("%.16Lg\n", expl (-4.0L)); printf ("%.16Lg\n", expl (0.0625L)); printf ("%.16Lg\n", expl (0.3L)); printf ("%.16Lg\n", expl (0.6L)); } #endif