diff options
author | Ulrich Drepper <drepper@redhat.com> | 1997-09-11 12:09:10 +0000 |
---|---|---|
committer | Ulrich Drepper <drepper@redhat.com> | 1997-09-11 12:09:10 +0000 |
commit | 9a0a462ceb4ab96c909b182f3052de2ef13fbe3a (patch) | |
tree | 59456497b6acefe69aab04fc28c38ea38852ccc7 /math/atest-sincos.c | |
parent | 26b4d7667169f8db26fd8194b3c498ec58e50f90 (diff) | |
download | glibc-9a0a462ceb4ab96c909b182f3052de2ef13fbe3a.zip glibc-9a0a462ceb4ab96c909b182f3052de2ef13fbe3a.tar.gz glibc-9a0a462ceb4ab96c909b182f3052de2ef13fbe3a.tar.bz2 |
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.c | 275 |
1 files changed, 275 insertions, 0 deletions
diff --git a/math/atest-sincos.c b/math/atest-sincos.c new file mode 100644 index 0000000..98f1e71 --- /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; +} |