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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-sincos.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-sincos.c')
-rw-r--r--math/atest-sincos.c275
1 files changed, 275 insertions, 0 deletions
diff --git a/math/atest-sincos.c b/math/atest-sincos.c
new file mode 100644
index 0000000000..98f1e719b1
--- /dev/null
+++ b/math/atest-sincos.c
@@ -0,0 +1,275 @@
+/* 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 N 0
+#define N2 20
+#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];
+
+/* These strings have exactly 100 hex digits in them. */
+static const char sin1[101] =
+"d76aa47848677020c6e9e909c50f3c3289e511132f518b4def"
+"b6ca5fd6c649bdfb0bd9ff1edcd4577655b5826a3d3b50c264";
+static const char cos1[101] =
+"8a51407da8345c91c2466d976871bd29a2373a894f96c3b7f2"
+"300240b760e6fa96a94430a52d0e9e43f3450e3b8ff99bc934";
+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
+sincosx_mpn (mp1 si, mp1 co, mp1 xx, mp1 ix)
+{
+ int i;
+ mp2 s[4], c[4];
+ mp1 tmp, x;
+ mp_limb_t chk, round;
+
+ if (ix == NULL)
+ {
+ memset (si, 0, sizeof (mp1));
+ memset (co, 0, sizeof (mp1));
+ co[SZ-1] = 1;
+ memcpy (x, xx, sizeof (mp1));
+ }
+ else
+ mpn_sub_n (x, xx, ix, SZ);
+
+ for (i = 0; i < 1 << N; i++)
+ {
+#define add_shift_mulh(d,x,s1,s2,sh,n) \
+ /* d = (n ? -1 : 1) * (s1 + (s2>>sh)) * x / (1>>N); */ \
+ do { \
+ if (s2 != NULL) { \
+ if (sh > 0) { \
+ assert (sh < mpbpl); \
+ mpn_lshift (tmp, s1, SZ, sh); \
+ chk = (n ? mpn_sub_n : mpn_add_n)(tmp,tmp,s2+FRAC/mpbpl,SZ); \
+ } else \
+ chk = (n ? mpn_sub_n : mpn_add_n)(tmp,s1,s2+FRAC/mpbpl,SZ); \
+ /* assert(chk == 0); */ \
+ mpn_mul_n(d,tmp,x,SZ); \
+ } else \
+ mpn_mul_n(d,s1,x,SZ); \
+ /* assert(d[SZ*2-1] == 0); */ \
+ assert(N+sh < mpbpl); \
+ if (N+sh > 0) mpn_rshift(d,d,2*SZ,N+sh); \
+ } while(0)
+#define summ(d,ss,s,n) \
+ /* d = ss +/- (s[0]+2*s[1]+2*s[2]+s[3])/6; */ \
+ do { \
+ chk = mpn_add_n(tmp,s[1]+FRAC/mpbpl,s[2]+FRAC/mpbpl,SZ); \
+ mpn_lshift(tmp,tmp,SZ,1); \
+ chk |= mpn_add_n(tmp,tmp,s[0]+FRAC/mpbpl,SZ); \
+ chk |= mpn_add_n(tmp,tmp,s[3]+FRAC/mpbpl,SZ); \
+ round = mpn_divmod_1(tmp,tmp,SZ,6); \
+ /* chk |= mpn_add_1(tmp,tmp,SZ, (round > 3) ); */ \
+ chk |= (n ? mpn_sub_n : mpn_add_n)(d,ss,tmp,SZ); \
+ /* assert(chk == 0); */ \
+ } while (0)
+
+ add_shift_mulh (s[0], x, co, NULL, 0, 0); /* s0 = h * c; */
+ add_shift_mulh (c[0], x, si, NULL, 0, 0); /* c0 = h * s; */
+ add_shift_mulh (s[1], x, co, c[0], 1, 1); /* s1 = h * (c - c0/2); */
+ add_shift_mulh (c[1], x, si, s[0], 1, 0); /* c1 = h * (s + s0/2); */
+ add_shift_mulh (s[2], x, co, c[1], 1, 1); /* s2 = h * (c - c1/2); */
+ add_shift_mulh (c[2], x, si, s[1], 1, 0); /* c2 = h * (s + s1/2); */
+ add_shift_mulh (s[3], x, co, c[2], 0, 1); /* s3 = h * (c - c2); */
+ add_shift_mulh (c[3], x, si, s[2], 0, 0); /* c3 = h * (s + s2); */
+ summ (si, si, s, 0); /* s = s + (s0+2*s1+2*s2+s3)/6; */
+ summ (co, co, c, 1); /* c = c - (c0+2*c1+2*c2+c3)/6; */
+ }
+#undef add_shift_mulh
+#undef summ
+}
+
+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 si, co, x, ox, xt, s2, c2, s3, c3;
+ int i;
+ int sin_errors = 0, cos_errors = 0;
+ int sin_failures = 0, cos_failures = 0;
+ mp1 sin_maxerror, cos_maxerror;
+ int sin_maxerror_s = 0, cos_maxerror_s = 0;
+ const double sf = pow (2, mpbpl);
+
+ /* assert(mpbpl == mp_bits_per_limb); */
+ assert(FRAC / mpbpl * mpbpl == FRAC);
+
+ memset (sin_maxerror, 0, sizeof (mp1));
+ memset (cos_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 s2s, s3s, c2s, c3s, j;
+ double ds2,dc2;
+
+ mpn_mul_1 (x, xt, SZ, i);
+ sincosx_mpn (si, co, x, i == 0 ? NULL : ox);
+ memcpy (ox, x, sizeof (mp1));
+ ds2 = sin (i / (double) (1 << N2));
+ dc2 = cos (i / (double) (1 << N2));
+ for (j = SZ-1; j >= 0; j--)
+ {
+ s2[j] = (mp_limb_t) ds2;
+ ds2 = (ds2 - s2[j]) * sf;
+ c2[j] = (mp_limb_t) dc2;
+ dc2 = (dc2 - c2[j]) * sf;
+ }
+ if (mpn_cmp (si, s2, SZ) >= 0)
+ mpn_sub_n (s3, si, s2, SZ);
+ else
+ mpn_sub_n (s3, s2, si, SZ);
+ if (mpn_cmp (co, c2, SZ) >= 0)
+ mpn_sub_n (c3, co, c2, SZ);
+ else
+ mpn_sub_n (c3, c2, co, SZ);
+
+ s2s = mpn_bitsize (s2, SZ);
+ s3s = mpn_bitsize (s3, SZ);
+ c2s = mpn_bitsize (c2, SZ);
+ c3s = mpn_bitsize (c3, SZ);
+ if (s3s > 1 && s2s - s3s < 54
+ || c3s > 1 && c2s - c3s < 54
+ || 0)
+ {
+#if PRINT_ERRORS
+ printf ("%06x ", i * (0x100000 / (1 << N2)));
+ print_mpn_hex(si, (FRAC / 4) + 1);
+ putchar (' ');
+ print_mpn_hex (co, (FRAC / 4) + 1);
+ putchar ('\n');
+ fputs (" ", stdout);
+ print_mpn_hex (s2, (FRAC / 4) + 1);
+ putchar (' ');
+ print_mpn_hex (c2, (FRAC / 4) + 1);
+ putchar ('\n');
+ printf (" %c%c ",
+ s2s-s3s < 54 ? s2s - s3s == 53 ? 'e' : 'F' : 'P',
+ c2s-c3s < 54 ? c2s - c3s == 53 ? 'e' : 'F' : 'P');
+ print_mpn_hex (s3, (FRAC / 4) + 1);
+ putchar (' ');
+ print_mpn_hex (c3, (FRAC / 4) + 1);
+ putchar ('\n');
+#endif
+ sin_errors += s2s - s3s == 53;
+ cos_errors += c2s - c3s == 53;
+ sin_failures += s2s - s3s < 53;
+ cos_failures += c2s - c3s < 53;
+ }
+ if (s3s >= sin_maxerror_s
+ && mpn_cmp (s3, sin_maxerror, SZ) > 0)
+ {
+ memcpy (sin_maxerror, s3, sizeof (mp1));
+ sin_maxerror_s = s3s;
+ }
+ if (c3s >= cos_maxerror_s
+ && mpn_cmp (c3, cos_maxerror, SZ) > 0)
+ {
+ memcpy (cos_maxerror, c3, sizeof (mp1));
+ cos_maxerror_s = c3s;
+ }
+ }
+
+ /* Check Range-Kutta against precomputed values of sin(1) and cos(1). */
+ memset (x, 0, sizeof (mp1));
+ x[FRAC / mpbpl] = 1 << FRAC % mpbpl;
+ sincosx_mpn (si, co, x, ox);
+
+ memset (s2, 0, sizeof (mp1));
+ memset (c2, 0, sizeof (mp1));
+ for (i = 0; i < 100 && i < FRAC / 4; i++)
+ {
+ s2[(FRAC - i * 4 - 4) / mpbpl] |= (strchr (hexdig, sin1[i]) - hexdig
+ << (FRAC - i * 4 - 4) % mpbpl);
+ c2[(FRAC - i * 4 - 4) / mpbpl] |= (strchr (hexdig, cos1[i]) - hexdig
+ << (FRAC - i * 4 - 4) % mpbpl);
+ }
+
+ if (mpn_cmp (si, s2, SZ) >= 0)
+ mpn_sub_n (s3, si, s2, SZ);
+ else
+ mpn_sub_n (s3, s2, si, SZ);
+ if (mpn_cmp (co, c2, SZ) >= 0)
+ mpn_sub_n (c3, co, c2, SZ);
+ else
+ mpn_sub_n (c3, c2, co, SZ);
+
+ printf ("sin:\n");
+ printf ("%d failures; %d errors; error rate %0.2f%%\n",
+ sin_failures, sin_errors, sin_errors * 100.0 / (double) (1 << N2));
+ fputs ("maximum error: ", stdout);
+ print_mpn_hex (sin_maxerror, (FRAC / 4) + 1);
+ fputs ("\nerror in sin(1): ", stdout);
+ print_mpn_hex (s3, (FRAC / 4) + 1);
+
+ fputs ("\n\ncos:\n", stdout);
+ printf ("%d failures; %d errors; error rate %0.2f%%\n",
+ cos_failures, cos_errors, cos_errors * 100.0 / (double) (1 << N2));
+ fputs ("maximum error: ", stdout);
+ print_mpn_hex (cos_maxerror, (FRAC / 4) + 1);
+ fputs ("\nerror in cos(1): ", stdout);
+ print_mpn_hex (c3, (FRAC / 4) + 1);
+ putchar ('\n');
+
+ return (sin_failures == 0 && cos_failures == 0) ? 0 : 1;
+}