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authorUlrich Drepper <drepper@redhat.com>1997-09-11 12:09:10 +0000
committerUlrich Drepper <drepper@redhat.com>1997-09-11 12:09:10 +0000
commit9a0a462ceb4ab96c909b182f3052de2ef13fbe3a (patch)
tree59456497b6acefe69aab04fc28c38ea38852ccc7 /math/atest-exp.c
parent26b4d7667169f8db26fd8194b3c498ec58e50f90 (diff)
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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.
Diffstat (limited to 'math/atest-exp.c')
-rw-r--r--math/atest-exp.c191
1 files changed, 191 insertions, 0 deletions
diff --git a/math/atest-exp.c b/math/atest-exp.c
new file mode 100644
index 0000000..28e572c
--- /dev/null
+++ b/math/atest-exp.c
@@ -0,0 +1,191 @@
+/* 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;
+}