glibc/math/atest-exp.c
Ulrich Drepper 9a0a462ceb Update.
1997-09-11 04:36  Ulrich Drepper  <drepper@cygnus.com>

	* db2/db_int.h: Define __set_errno if not yet available.
	* db2/btree/bt_rec.c: Use __set_errno to set errno value.
	* db2/clib/getlong.c: Likewise.
	* db2/db185/db185.c: Likewise.
	* db2/db185/db185_int.h: Likewise.
	* db2/dbm/dbm.c: Likewise.
	* db2/lock/lock_deadlock.c: Likewise.
	* db2/log/log_archive.c: Likewise.

	* elf/dl-profile.c: Implement mcount function.

	* gmon/gmon.c: Use __profil not profil because of namespace pollution.
	* gmon/mcount.c: Remove BSD kernel code.
	Use compare&swap instruction if possible to change state variable.
	Optimize frompc folding.
	* gmon/sys/gmon.h (struct gmonparam): Change state field to long int.
	* sysdeps/i386/i486/atomicity.h: New file.
	* sysdeps/stub/atomicity.h: New file.
	* sysdeps/mach/hurd/profil.c: Define function as __profil and make
	profil weak alias.
	* sysdeps/posix/profil.c: Likewise.

	* string/bits/string2.h: New file.
	* include/bits/string2.h: New file.
	* string/Makefile (routines): Add mempcpy.
	(tests): Add inl-tester.
	Remove _D__NO_STRING_INLINES from CFLAGS-* variables.
	* sysdeps/generic/mempcpy.c: New file.
	* sysdeps/generic/memccpy.c: Undef function name to enable definition
	as macro.
	* sysdeps/generic/memchr.c: Likewise.
	* sysdeps/generic/memcmp.c: Likewise.
	* sysdeps/generic/memmem.c: Likewise.
	* sysdeps/generic/memmove.c: Likewise.
	* sysdeps/generic/strcat.c: Likewise.
	* sysdeps/generic/strchr.c: Likewise.
	* sysdeps/generic/strcmp.c: Likewise.
	* sysdeps/generic/strcpy.c: Likewise.
	* sysdeps/generic/strcspn.c: Likewise.
	* sysdeps/generic/strlen.c: Likewise.
	* sysdeps/generic/strncat.c: Likewise.
	* sysdeps/generic/strncmp.c: Likewise.
	* sysdeps/generic/strncpy.c: Likewise.
	* sysdeps/generic/strpbrk.c: Likewise.
	* sysdeps/generic/strrchr.c: Likewise.
	* sysdeps/generic/strsep.c: Likewise.
	* sysdeps/generic/strspn.c: Likewise.
	* sysdeps/generic/strstr.c: Likewise.
	* sysdeps/generic/strtok.c: Likewise.
	* sysdeps/generic/strtok_r.c: Likewise.
	* sysdeps/i386/memset.c: Likewise.
	* sysdeps/i386/bits/string.h: Correct a few types and constraints.
	* sysdeps/i386/i486/bits/string.h: Heavy rewrites and optimizations.
	* string/stratcliff.c: Undefine __USE_STRING_INLINES.
	* string/tst-strlen.c: Likewise.
	* string/string.h: Add prototype for mempcpy.  Include bits/string2.h
	header always if optimizing.
	* intl/dcgettext.c: Don't unconditionally define stpcpy, only if not
	yet defined.
	* intl/l10nflist.c: Likewise.

	* string/tester.c: Add copyright and make little cleanups.

	* inet/test_ifindex.c: Change type of ni variable to unsigned int.

	* locale/programs/ld-ctype.c (struct locale_ctype_t): Change type
	of fields map_collection_max and map_collection_act to size_t.

	* nss/libnss_files.map: Group entries.

	* posix/unistd.h: Add prototype for __setpgid and __profil.

	* sysdeps/generic/crypt.h: Declare __crypt_r.

	* sysdeps/i386/bits/select.h: Fix fatal bugs, use correct casts now.

	* sysdeps/i386/fpu/bits/mathinline.h (isgreater, isgreaterequal,
	isless, islessequal, islessgreater, isunordered): Optimize a bit.

	* sysdeps/stub/ftruncate.c: Include missing header for prototype.
	* sysdeps/stub/getdents.c: Likewise.
	* sysdeps/stub/reboot.c: Likewise.
	* sysdeps/stub/swapon.c: Likewise.
	* sysdeps/stub/syscall.c: Likewise.
	* sysdeps/stub/ualarm.c: Likewise.
	* sysdeps/stub/usleep.c: Likewise.

	* sysdeps/unix/sysv/linux/if_index.c: Don't compile or use opensock
	if SIOGIFINDEX and SIOGIFNAME are not defined.

	* sysdeps/unix/sysv/linux/net/if.h: Add IFF_PORTSEL and IFF_AUTOMEDIA
	according to recent kernel changes.

1997-09-10 21:32  Klaus Espenlaub  <kespenla@student.informatik.uni-ulm.de>

	* Makeconfig: Use $(have-initfini) instead of $(elf) to figure out
	the installed name of the startup code.
	(common-generated): Add version.mk.
	* Makefile (distclean-1): Add glibcbug.
	* Makerules: Replace -lgcc by $(gnulib).
	* catgets/Makefile (generated): Add xmalloc.o.
	* csu/Makefile (generated): Replace align.h and end.h by defs.h to
	match the generated file.
	* manual/Makefile (mostlyclean): Add stub-manual and stamp.o.
	(realclean): Changed to remove chapters-incl[12].
	* po/Makefile (realclean): New rule to remove the generated .mo files.
	* time/Makefile: Only include zonefile dependencies if $(no_deps) is
	not true to avoid make clean failure when directory time doesn't exist
	yet.
	(generated): Add tzselect.

	* stdio/fgets.c (fgets): Add casts to reduce gcc warning noise.
	* stdio/internals.c (flushbuf): Likewise.
	* stdio/linewrap.c (lwupdate): Likewise.
	* stdio/memstream.c (enlarge_buffer): Likewise.
	* stdio-common/vfscanf.c (_IO_vfscanf): Likewise.
	* time/tzset.c (compute_change): Likewise.
	* misc/init-misc.c (__init_misc): Only declare static if HAVE_GNU_LD
	is defined.
	* sysdeps/posix/pipestream.c (FUNC): Change to generate ANSI C style
	functions.
	* sysdeps/stub/init-posix.c: Likewise.
	* sysdeps/stub/profil.c: Likewise.
	* munch-tmpl.c (__libc_init): Convert to ANSI C style declaration to
	reduce gcc warning noise.
	* stdio/glue.c (_filbuf, _flsbuf): Likewise.
	* stdio/obstream.c (grow, seek, input, init_obstream): Likewise.
	* stdio/vasprintf.c (enlarge_buffer): Likewise.
	* sysdeps/generic/sysd-stdio.c (__stdio_read, __stdio_write,
	__stdio_seek, __stdio_close, __stdio_fileno, __stdio_open,
	__stdio_reopen): Likewise.
	* sysdeps/posix/defs.c (_cleanup): Likewise.
	* time/offtime.c (__offtime): Add cast.

	* posix/getopt.c: Don't use text_set_element if not defined.

	* configure.in: Provide a check for underscores before user labels
	that works even when the compiler used for building doesn't work
	(like when there is no C library).  Use the old way if the compiler
	works.

1997-09-10 05:08  David S. Miller  <davem@caip.rutgers.edu>

	* sysdeps/unix/sysv/linux/sparc/bits/ioctls.h: The TC* ioctls use
	'T' not 't' on SparcLinux.
	* sysdeps/unix/sysv/linux/sparc/bits/termios.h: tcflag_t is 32 bits.

	* sysdeps/unix/sysv/linux/sparc/sparc64/longjmp.S: Add aliases for
	_longjmp and siglongjmp.

1997-09-09  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* libio/stdio.h: Add format attributes to the extra printf and
	scanf like functions.
	* stdio/stdio.h: Likewise.

1997-09-09  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* nis/nss_nisplus/nisplus-network.c (_nss_nisplus_getnetbyaddr_r):
	Print tablename_val, not tablename_len.

	* nis/nss_nisplus/nisplus-ethers.c (_nss_nisplus_getntohost_r):
	Use sprintf instead of sprintf, the string always fits.
	* nis/nss_nisplus/nisplus-hosts.c (_nss_nisplus_gethostbyaddr_r):
	Likewise.
	* nis/nss_nisplus/nisplus-network.c (_nss_nisplus_getnetbyaddr_r):
	Likewise.
	* nis/nss_nisplus/nisplus-proto.c
	(_nss_nisplus_getprotobynumber_r): Likewise.
	* nis/nss_nisplus/nisplus-rpc.c (_nss_nisplus_getrpcbynumber_r):
	Likewise.
	* nis/nss_nisplus/nisplus-service.c
	(_nss_nisplus_getservbynumber_r): Likewise.

	* nis/nss_nisplus/nisplus-alias.c (_nss_create_tablename): Use
	__stpcpy, __stpncpy and __strdup instead of public names.
	* nis/nss_nisplus/nisplus-ethers.c (_nss_create_tablename):
	Likewise.
	* nis/nss_nisplus/nisplus-grp.c (_nss_create_tablename): Likewise.
	* nis/nss_nisplus/nisplus-hosts.c (_nss_create_tablename):
	Likewise.
	* nis/nss_nisplus/nisplus-netgrp.c (_nss_nisplus_parse_netgroup):
	Likewise.
	* nis/nss_nisplus/nisplus-network.c (_nss_nisplus_parse_netent):
	Likewise.
	(_nss_create_tablename): Likewise.
	* nis/nss_nisplus/nisplus-proto.c (_nss_nisplus_parse_protoent):
	Likewise.
	(_nss_create_tablename): Likewise.
	* nis/nss_nisplus/nisplus-pwd.c (_nss_create_tablename):
	Likewise.
	* nis/nss_nisplus/nisplus-rpc.c (_nss_nisplus_parse_rpcent):
	Likewise.
	(_nss_create_tablename): Likewise.
	* nis/nss_nisplus/nisplus-service.c (_nss_nisplus_parse_servent):
	Likewise.
	(_nss_create_tablename): Likewise.
	* nis/nss_nisplus/nisplus-spwd.c (_nss_create_tablename):
	Likewise.

	* libc.map: Export __stpcpy and __strdup.

1997-09-09  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* math/Makefile (CFLAGS-test-float.c, CFLAGS-test-double.c,
	CFLAGS-test-ldouble.c): Pass -ffloat-store to avoid excessive
	precision.

1997-09-09  Andreas Schwab  <schwab@issan.informatik.uni-dortmund.de>

	* include/rpc/auth_des.h: New file.

1997-09-09  Paul Eggert  <eggert@twinsun.com>

	* time/mktime.c (__mktime_internal): Declare sec_requested even if
	!LEAP_SECONDS_POSSIBLE, since it's needed at the end when checking
	for time_t overflow.

1997-09-09 22:11  Ulrich Drepper  <drepper@cygnus.com>

	* sysdeps/posix/getcwd.c: Correct test for too small buffer.
	Reported by Erik Troan <ewt@redhat.com>.

	* elf/dl-close.c: Include <bits/libc-lock.h>, not <libc-lock.h>.
	* elf/dl-open.c: Likewise.

1997-09-07 17:09  Richard Henderson  <rth@cygnus.com>

	* sysdeps/alpha/Makefile: Kill setjmp_aux.
	* sysdeps/alpha/bits/setjmp.h: Rewrite in terms of an array.
	* sysdeps/alpha/__longjmp.c: Remove.
	* sysdeps/alpha/setjmp_aux.c: Remove.
	* sysdeps/alpha/__longjmp.S: New file.
	* sysdeps/alpha/bsd-_setjmp.S: Stub out.
	* sysdeps/alpha/bsd-setjmp.S: Likewise.
	* sysdeps/alpha/setjmp.S: Do the work; don't call __setjmp_aux.
	Move _setjmp and setjmp from bsd-*.S.

1997-09-06  20:20  Ulrich Drepper  <drepper@cygnus.com>

	* include/rpc/auth.h: New file.
	* include/rpc/auth_unix.h: New file.

1997-09-06  Paul Eggert  <eggert@twinsun.com>

	Fix gmtime so that it reports leap seconds when TZ
	indicates that leap seconds are desired.

	* time/gmtime.c (<stddef.h>): Remove unnecessary include.
	(gmtime): Put after gmtime_r, to help the compiler inline.
	(__tz_convert): New decl.
	(gmtime_r): Use __tz_convert instead of __offtime,
	so that leap seconds are handled correctly.

	* time/localtime.c (<errno.h>, <libc-lock.h>): Remove includes that
	are now unnecessary.
	(__tzset_internal, __tz_compute, __tzfile_compute, __use_tzfile,
	__tzset_lock): Remove extern decls that are now unnecessary.
	(localtime_internal): Moved to __tz_convert in tzset.c.
	so that localtime and gmtime can both use it easily.
	(localtime): Put after localtime_r, to help the compiler inline.
	(localtime_r): Use __tz_convert instead of localtime_internal.

	* time/strftime.c (__tz_compute): Remove unused (and now incorrect)
	decl.

	* time/tzfile.c (__tzfile_compute): New arg USE_LOCALTIME.

	* time/tzset.c (<errno.h>): Include.
	(_tmbuf): New decl.
	(__tzfile_compute): New function.
	(tz_compute): Renamed from __tz_compute.  No longer extern.
	Remove redundant call to tzset_internal.
	(tzset_internal): Renamed from __tzset_internal.  No longer extern.
	(tzset_lock): Renamed from __tzset_lock.  No longer extern.
	(__tz_convert): New function, containing functionality of old
	localtime_internal function, plus locking and optional UTC.

1997-09-06  Paul Eggert  <eggert@twinsun.com>

	* time/tzfile.c (__tzfile_read): Don't read a file if TZ is the empty
	string, just use UTC without leap seconds.  This is for compatibility
	with the Olson code.

1997-09-06  Paul Eggert  <eggert@twinsun.com>

	* time/tzset.c (__tzname_max): Lock tz data structures before
	invoking tzset_internal.

	* time/tzfile.c: Define compute_tzname_max statically.

1997-09-07 10:57  Thorsten Kukuk  <kukuk@vt.uni-paderborn.de>

	* nis/nis_call.c: Remove not longer necessary HAVE_SECURE_RPC ifdefs.
	* nis/nis_intern.h: Likewise.
	* nis/nss_nis/nis-publickey.c: Likewise.
	* nis/nss_nisplus/nisplus-publickey.c: Likewise.
	* nis/ypclnt.c: Likewise.

	* sunrpc/auth_des.c: Don't dereference NULL pointer,
	initialize ad->ad_timediff.

	* sunrpc/auth_none.c: Don't define our own prototypes, use the one
	from the header files.
	* sunrpc/auth_unix.c: Likewise.
	* sunrpc/clnt_raw.c: Likewise.
	* sunrpc/clnt_tcp.c: Likewise.
	* sunrpc/rpc_cmsg.c: Likewise.

	* sunrpc/key_call.c: Fix signal handling.

	* sunrpc/openchild.c: Don't use /bin/sh to start /usr/etc/keyenvoy,
	or we will get a deadlock with NIS+.

	* sunrpc/rpc/auth.h: Add prototype for xdr_opaque_auth, don't define
	HAVE_SECURE_RPC.

1997-09-07 15:51  Ulrich Drepper  <drepper@cygnus.com>

	* sysdeps/i386/bits/select.h [__GNUC__] (__FD_ZERO, __FD_SET, __FD_CLR,
	__FD_ISSET): Use correct casts to address array correctly.
	Reported by urbanw@cs.umu.se.

1997-09-07 05:07  Ulrich Drepper  <drepper@cygnus.com>

	* elf/dl-close.c: Include <bits/libc-lock.h>, not <libc-lock.h>.
	* elf/dl-open.c: Likewise.
	* sysdeps/i386/memset.c: Undefine memset in case the header with the
	optimized functions is included.
	Patches by NIIBE Yutaka <gniibe@mri.co.jp>.

	* sysdeps/i386/bits/string.h [__PIC__] (strcspn, strspn, strpbrk,
	strsep): Use register for second parameter.
	* sysdeps/i386/i486/bits/string.h: Likewise.
	Reported by NIIBE Yutaka <gniibe@mri.co.jp>.

1997-09-03 09:48  Geoff Keating  <geoffk@ozemail.com.au>

	* math/libm-test.c: Change various tolerances to match what the
	tested routines can actually provide.

	* math/Makefile: Add new tests.
	* math/atest-sincos.c: New file.
	* math/atest-exp.c: New file.

	* csu/Makefile: Give initfini.s and initfiniS.s their own
	CFLAGS-* macros so they can be overridden.
	* sysdeps/powerpc/Makefile [subdir=csu]: Override flags for
	initfiniS.s to use -fpic instead of -fPIC, because the sed script
	breaks otherwise.

	* sysdeps/powerpc/Makefile [build-shared]: Use -fpic not -fPIC for
	efficiency.

	* sysdeps/powerpc/dl-machine.h (ELF_MACHINE_RUNTIME_TRAMPOLINE):
	Don't use register 0, to let _mcount be in a shared object.

	* sysdeps/powerpc/dl-machine.h: Use full sentences in comments.
	Generally clean up.  Suppress some code we don't need when relocating
	ld.so.
	* sysdeps/powerpc/test-arith.c: Change loop indices to size_t when
	appropriate to suppress gcc warning.
	* resolv/res_send.c: Suppress warning.
	* sunrpc/xdr_sizeof.c: Suppress warning.

	* FAQ: Add ppc-linux.
	* manual/maint.texi: Add ppc-linux.  Explain that gcc can't build it
	yet.

	* sysdeps/unix/sysv/linux/powerpc/profil-counter.h: Correct for
	current kernels.

1997-08-15 07:45  Geoff Keating  <geoffk@ozemail.com.au>

	* stdlib/fmtmsg.c: Use two parameters for __libc_once_define.
	* sysdeps/i386/machine-gmon.h: Correct typo.

	* sysdeps/unix/sysv/linux/powerpc/bits/mman.h: Change to match
	kernel.

	* sysdeps/generic/dl-sysdep.c: Add hook for bizzare PPC argument hack.
	* sysdeps/unix/sysv/linux/powerpc/dl-sysdep.c: Rewrite to use
	sysdeps/linux/dl-sysdep.c.

	* sysdeps/powerpc/Makefile [subdir=gmon]: Compile ppc-mcount.
	* sysdeps/powerpc/machine-gmon.h: Use ppc-mcount.
	* sysdeps/powerpc/ppc-mcount: New file.

	The following are mostly changes to allow profiling:
	* sysdeps/powerpc/add_n.S: Added.
	* sysdeps/powerpc/add_n.s: Removed.
	* sysdeps/powerpc/addmul_1.S: Added.
	* sysdeps/powerpc/addmul_1.s: Removed.
	* sysdeps/powerpc/bsd-_setjmp.S: Use JUMPTARGET macro.
	* sysdeps/powerpc/bsd-setjmp.S: Use JUMPTARGET macro.
	* sysdeps/powerpc/lshift.S: Added.
	* sysdeps/powerpc/lshift.s: Removed.
	* sysdeps/powerpc/memset.S: Added.
	* sysdeps/powerpc/memset.s: Removed.
	* sysdeps/powerpc/mul_1.S: Added.
	* sysdeps/powerpc/mul_1.s: Removed.
	* sysdeps/powerpc/rshift.S: Added.
	* sysdeps/powerpc/rshift.s: Removed.
	* sysdeps/powerpc/s_copysign.S: Use ENTRY, END, weak_alias macros.
	* sysdeps/powerpc/s_fabs.S: Use ENTRY, END, weak_alias macros.
	* sysdeps/powerpc/setjmp.S: Use JUMPTARGET macro.
	* sysdeps/powerpc/strchr.S: Added.
	* sysdeps/powerpc/strchr.s: Removed.
	* sysdeps/powerpc/strcmp.S: Added.
	* sysdeps/powerpc/strcmp.s: Removed.
	* sysdeps/powerpc/strlen.S: Added.
	* sysdeps/powerpc/strlen.s: Removed.
	* sysdeps/powerpc/sub_n.S: Added.
	* sysdeps/powerpc/sub_n.s: Removed.
	* sysdeps/powerpc/submul_1.S: Added.
	* sysdeps/powerpc/submul_1.s: Removed.
	* sysdeps/unix/sysv/linux/powerpc/_exit.S: Removed.
	* sysdeps/unix/sysv/linux/powerpc/brk.S: Added.
	* sysdeps/unix/sysv/linux/powerpc/brk.c: Removed.
	* sysdeps/unix/sysv/linux/powerpc/clone.S: Use new macros. Fix
	various bugs. Document that it isn't tested.
	* sysdeps/unix/sysv/linux/powerpc/sigreturn.S: Make look like
	sysdeps/unix/_exit.S.
	* sysdeps/unix/sysv/linux/powerpc/socket.S: Use new macros.
	* sysdeps/unix/sysv/linux/powerpc/syscall.S: Use new macros.
	* sysdeps/unix/sysv/linux/powerpc/sysdep.h: Define some new macros
	to make assembler (possibly) more portable, allow profiling, etc.
1997-09-11 12:09:10 +00:00

192 lines
5.0 KiB
C

/* Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Geoffrey Keating <Geoff.Keating@anu.edu.au>, 1997.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
The GNU C Library 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
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
#include <stdio.h>
#include <math.h>
#include <stdlib/gmp.h>
#include <string.h>
#include <limits.h>
#include <assert.h>
#define PRINT_ERRORS 0
#define TOL 80
#define N2 17
#define FRAC (32*4)
#define mpbpl (CHAR_BIT * sizeof (mp_limb_t))
#define SZ (FRAC / mpbpl + 1)
typedef mp_limb_t mp1[SZ], mp2[SZ * 2];
/* This string has 101 hex digits. */
static const char exp1[102] = "2" /* point */
"b7e151628aed2a6abf7158809cf4f3c762e7160f38b4da56a7"
"84d9045190cfef324e7738926cfbe5f4bf8d8d8c31d763da07";
static const char hexdig[] = "0123456789abcdef";
void
print_mpn_hex (const mp_limb_t *x, unsigned size)
{
char value[size + 1];
unsigned i;
const unsigned final = (size * 4 > SZ * mpbpl) ? SZ * mpbpl / 4 : size;
memset (value, '0', size);
for (i = 0; i < final ; i++)
value[size - 1 - i] = hexdig[x[i * 4 / mpbpl] >> (i * 4) % mpbpl & 0xf];
value[size] = '\0';
fputs (value, stdout);
}
void
exp_mpn (mp1 ex, mp1 x)
{
unsigned n;
mp1 xp;
mp2 tmp;
mp_limb_t chk, round;
mp1 tol;
memset (xp, 0, sizeof (mp1));
memset (ex, 0, sizeof (mp1));
xp[FRAC / mpbpl] = 1 << FRAC % mpbpl;
memset (tol,0, sizeof (mp1));
tol[(FRAC - TOL) / mpbpl] = 1 << (FRAC - TOL) % mpbpl;
n = 0;
do
{
/* Calculate sum(x^n/n!) until the next term is sufficiently small. */
mpn_mul_n (tmp, xp, x, SZ);
assert (tmp[SZ * 2 - 1] == 0);
if (n > 0)
round = mpn_divmod_1 (xp, tmp + FRAC / mpbpl, SZ, n);
chk = mpn_add_n (ex, ex, xp, SZ);
assert (chk == 0);
n++;
assert (n < 80); /* Catch too-high TOL. */
}
while (n < 10 || mpn_cmp (xp, tol, SZ) >= 0);
}
static int
mpn_bitsize(const mp_limb_t *SRC_PTR, mp_size_t SIZE)
{
int i, j;
for (i = SIZE - 1; i > 0; i--)
if (SRC_PTR[i] != 0)
break;
for (j = mpbpl - 1; j > 0; j--)
if ((SRC_PTR[i] & 1 << j) != 0)
break;
return i * 32 + j;
}
int
main (void)
{
mp1 ex, x, xt, e2, e3;
int i;
int errors = 0;
int failures = 0;
mp1 maxerror;
int maxerror_s = 0;
const double sf = pow (2, mpbpl);
/* assert (mpbpl == mp_bits_per_limb); */
assert (FRAC / mpbpl * mpbpl == FRAC);
memset (maxerror, 0, sizeof (mp1));
memset (xt, 0, sizeof (mp1));
xt[(FRAC - N2) / mpbpl] = 1 << (FRAC - N2) % mpbpl;
for (i = 0; i < 1 << N2; i++)
{
int e2s, e3s, j;
double de2;
mpn_mul_1 (x,xt,SZ,i);
exp_mpn (ex, x);
de2 = exp (i / (double) (1 << N2));
for (j = SZ-1; j >= 0; j--)
{
e2[j] = (mp_limb_t) de2;
de2 = (de2 - e2[j]) * sf;
}
if (mpn_cmp (ex,e2,SZ) >= 0)
mpn_sub_n (e3,ex,e2,SZ);
else
mpn_sub_n (e3,e2,ex,SZ);
e2s = mpn_bitsize (e2,SZ);
e3s = mpn_bitsize (e3,SZ);
if (e3s > 1 && e2s - e3s < 54)
{
#if PRINT_ERRORS
printf ("%06x ", i * (0x100000 / (1 << N2)));
print_mpn_hex (ex, (FRAC / 4) + 1);
fputs ("\n ",stdout);
print_mpn_hex (e2, (FRAC / 4) + 1);
printf ("\n %c ",
e2s - e3s < 54 ? e2s - e3s == 53 ? 'e' : 'F' : 'P');
print_mpn_hex (e3, (FRAC / 4) + 1);
putchar ('\n');
#endif
errors += (e2s - e3s == 53);
failures += (e2s - e3s < 53);
}
if (e3s >= maxerror_s
&& mpn_cmp (e3, maxerror, SZ) > 0)
{
memcpy (maxerror, e3, sizeof (mp1));
maxerror_s = e3s;
}
}
/* Check exp_mpn against precomputed value of exp(1). */
memset (x, '\0', sizeof (mp1));
x[FRAC / mpbpl] = 1 << FRAC % mpbpl;
exp_mpn (ex, x);
memset (e2, '\0', sizeof (mp1));
for (i = -1; i < 100 && i < FRAC / 4; i++)
e2[(FRAC - i * 4 - 4) / mpbpl] |= (strchr (hexdig, exp1[i + 1]) - hexdig
<< (FRAC - i * 4 - 4) % mpbpl);
if (mpn_cmp (ex, e2, SZ) >= 0)
mpn_sub_n (e3, ex, e2, SZ);
else
mpn_sub_n (e3, e2, ex, SZ);
printf ("%d failures; %d errors; error rate %0.2f%%\n", failures, errors,
errors * 100.0 / (double) (1 << N2));
fputs ("maximum error: ", stdout);
print_mpn_hex (maxerror, (FRAC / 4) + 1);
fputs ("\nerror in exp(1): ", stdout);
print_mpn_hex (e3, (FRAC / 4) + 1);
putchar ('\n');
return failures == 0 ? 0 : 1;
}