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Fix strtod rounding (bug 3479).

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This commit is contained in:
Joseph Myers 2012-08-27 16:01:27 +00:00
parent d6e70f4368
commit af92131a8e
10 changed files with 7635 additions and 43 deletions
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37
ChangeLog
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@ -1,5 +1,42 @@
2012-08-27 Joseph Myers <joseph@codesourcery.com> 2012-08-27 Joseph Myers <joseph@codesourcery.com>
[BZ #3479]
* stdlib/strtod_l.c (NDIG): Remove.
(HEXNDIG): Likewise.
(MPNSIZE): Increase to represent 10^n where 2^-n is 1/4 ulp of the
smallest representable value.
(____STRTOF_INTERNAL): Use all fractional decimal digits that may
lie within an exact representation of 1/2 ulp of the result.
* stdlib/fpioconst.c (__tens): Include 10^2^9 and 10^2^10
unconditionally.
(TENS_P9_IDX): Define unconditionally.
(TENS_P9_SIZE): Likewise.
(TENS_P10_IDX): Likewise.
(TENS_P10_SIZE): Likewise.
[BITS_PER_MP_LIMB == 32]: Change condition for larger powers of 10
to !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024.
[!__NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024] (__tens): Add
entries for 10^2^13 and 10^2^14.
[!__NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024]
(TENS_P13_IDX): Define.
(TENS_P13_SIZE): Likewise.
(TENS_P14_IDX): Likewise.
(TENS_P14_SIZE): Likewise.
(_fpioconst_pow10): Change array size to
FPIOCONST_POW10_ARRAY_SIZE. Make entries for 10^2^9 and 10^2^10
unconditional.
(_fpioconst_pow10) [!__NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ >
1024]: Add entries for 10^2^13 and 10^2^14.
[LAST_POW10 > _LAST_POW10]: Remove #error.
* stdlib/fpioconst.h (FPIOCONST_POW10_ARRAY_SIZE): Define.
(_fpioconst_pow10): Change array size to
FPIOCONST_POW10_ARRAY_SIZE.
* stdlib/gen-fpioconst.c: New file.
* stdlib/gen-tst-strtod-round.c: Likewise.
* stdlib/tst-strtod-round-data: Likewise.
* stdlib/tst-strtod-round.c: Likewise.
* stdlib/Makefile (tests): Add tst-strtod-round.
[BZ #14459] [BZ #14459]
* stdlib/strtod_l.c: Include <stdint.h>. * stdlib/strtod_l.c: Include <stdint.h>.
(NDEBUG): Do not define. (NDEBUG): Do not define.

6
NEWS
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@ -9,9 +9,9 @@ Version 2.17
* The following bugs are resolved with this release: * The following bugs are resolved with this release:
6778, 6808, 9685, 11607, 13717, 13696, 13939, 14042, 14090, 14166, 14150, 3479, 6778, 6808, 9685, 11607, 13717, 13696, 13939, 14042, 14090, 14166,
14151, 14154, 14157, 14166, 14173, 14195, 14252, 14283, 14298, 14303, 14150, 14151, 14154, 14157, 14166, 14173, 14195, 14252, 14283, 14298,
14307, 14328, 14331, 14336, 14337, 14347, 14349, 14459, 14505 14303, 14307, 14328, 14331, 14336, 14337, 14347, 14349, 14459, 14505
* Support for STT_GNU_IFUNC symbols added for s390 and s390x. * Support for STT_GNU_IFUNC symbols added for s390 and s390x.
Optimized versions of memcpy, memset, and memcmp added for System z10 and Optimized versions of memcpy, memset, and memcmp added for System z10 and

2
stdlib/Makefile
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@ -69,7 +69,7 @@ tests := tst-strtol tst-strtod testmb testrand testsort testdiv \
tst-makecontext tst-strtod4 tst-strtod5 tst-qsort2 \ tst-makecontext tst-strtod4 tst-strtod5 tst-qsort2 \
tst-makecontext2 tst-strtod6 tst-unsetenv1 \ tst-makecontext2 tst-strtod6 tst-unsetenv1 \
tst-makecontext3 bug-getcontext bug-fmtmsg1 \ tst-makecontext3 bug-getcontext bug-fmtmsg1 \
tst-secure-getenv tst-strtod-overflow tst-secure-getenv tst-strtod-overflow tst-strtod-round
tests-static := tst-secure-getenv tests-static := tst-secure-getenv
include ../Makeconfig include ../Makeconfig

910
stdlib/fpioconst.c
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@ -1,6 +1,5 @@
/* Table of MP integer constants 10^(2^i), used for floating point <-> decimal. /* Table of MP integer constants 10^(2^i), used for floating point <-> decimal.
Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003 Copyright (C) 1995-2012 Free Software Foundation, Inc.
Free Software Foundation, Inc.
This file is part of the GNU C Library. This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or The GNU C Library is free software; you can redistribute it and/or
@ -23,6 +22,9 @@
/* First page : 32-bit limbs /* First page : 32-bit limbs
Second page : 64-bit limbs Second page : 64-bit limbs
Last page : table of pointers Last page : table of pointers
The tables (apart from internal #if conditions) may be generated
with gen-fpioconst.c.
*/ */
#if BITS_PER_MP_LIMB == 32 #if BITS_PER_MP_LIMB == 32
@ -75,9 +77,8 @@ const mp_limb_t __tens[] =
0x26b2716e, 0xadc666b0, 0x1d153624, 0x3c42d35a, 0x63ff540e, 0xcc5573c0, 0x26b2716e, 0xadc666b0, 0x1d153624, 0x3c42d35a, 0x63ff540e, 0xcc5573c0,
0x65f9ef17, 0x55bc28f2, 0x80dcc7f7, 0xf46eeddc, 0x5fdcefce, 0x000553f7, 0x65f9ef17, 0x55bc28f2, 0x80dcc7f7, 0xf46eeddc, 0x5fdcefce, 0x000553f7,
#ifndef __NO_LONG_DOUBLE_MATH #define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE)
# define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE) #define TENS_P9_SIZE 56
# define TENS_P9_SIZE 56
[TENS_P9_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, [TENS_P9_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
@ -89,8 +90,8 @@ const mp_limb_t __tens[] =
0xb099bc81, 0x45a71d46, 0xa2699748, 0x8cb07303, 0x8a0b1f13, 0x8cab8a97, 0xb099bc81, 0x45a71d46, 0xa2699748, 0x8cb07303, 0x8a0b1f13, 0x8cab8a97,
0xc1d238d9, 0x633415d4, 0x0000001c, 0xc1d238d9, 0x633415d4, 0x0000001c,
# define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE) #define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE)
# define TENS_P10_SIZE 109 #define TENS_P10_SIZE 109
[TENS_P10_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, [TENS_P10_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
@ -111,6 +112,7 @@ const mp_limb_t __tens[] =
0xd2db49ef, 0x926c3f5b, 0xae6209d4, 0x2d433949, 0x34f4a3c6, 0xd4305d94, 0xd2db49ef, 0x926c3f5b, 0xae6209d4, 0x2d433949, 0x34f4a3c6, 0xd4305d94,
0xd9d61a05, 0x00000325, 0xd9d61a05, 0x00000325,
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
# define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE) # define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE)
# define TENS_P11_SIZE 215 # define TENS_P11_SIZE 215
[TENS_P11_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, [TENS_P11_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
@ -223,7 +225,440 @@ const mp_limb_t __tens[] =
0x35fcb457, 0x1bb6c6e4, 0xf74eb928, 0x3d5d0b54, 0x87cc1d21, 0x4964046f, 0x35fcb457, 0x1bb6c6e4, 0xf74eb928, 0x3d5d0b54, 0x87cc1d21, 0x4964046f,
0x18ae4240, 0xd868b275, 0x8bd2b496, 0x1c5563f4, 0xc234d8f5, 0xf868e970, 0x18ae4240, 0xd868b275, 0x8bd2b496, 0x1c5563f4, 0xc234d8f5, 0xf868e970,
0xf9151fff, 0xae7be4a2, 0x271133ee, 0xbb0fd922, 0x25254932, 0xa60a9fc0, 0xf9151fff, 0xae7be4a2, 0x271133ee, 0xbb0fd922, 0x25254932, 0xa60a9fc0,
0x104bcd64, 0x30290145, 0x00000062 0x104bcd64, 0x30290145, 0x00000062,
# define TENS_P13_IDX (TENS_P12_IDX + TENS_P12_SIZE)
# define TENS_P13_SIZE 853
[TENS_P13_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x64cf8001, 0x9f345226, 0x644963e5, 0x7b8d5053, 0x49f0aa29,
0xb945c82f, 0x430ff478, 0x933b6bb8, 0x5ff82d0a, 0x64c501d4, 0x73bbf174,
0x9ec1e1b3, 0x3bfbe803, 0xe9010689, 0xf7390d8e, 0x3fef8d80, 0xf31d1325,
0x2c73446b, 0xf5ca7a92, 0x1c19e379, 0x270af2be, 0xf52d9d9c, 0xeb2bed48,
0x3abf72e1, 0x4ac4ffc2, 0x7ecf3508, 0x22019a82, 0x38597a5a, 0xbe6a7b3c,
0x9a51ff6e, 0xa2d28437, 0x0c0abe9d, 0x7c9ec6ea, 0xc79887ff, 0x5851c899,
0x436420d0, 0xefead581, 0x72b5547f, 0x99b1d2b5, 0x077ad8f8, 0x5cddbf5b,
0x3b4305ed, 0xe3861ac7, 0x2d88f3fd, 0x3d6b43be, 0x393220aa, 0xe5382405,
0x1cd62095, 0x61a10c96, 0x87a0d1e1, 0xca95a55d, 0x68c933e6, 0x9ee082e2,
0x778089bb, 0x41429ee9, 0xfbb6d8d4, 0xc529500d, 0x26cf5471, 0x68b9be29,
0xd6c9b140, 0x07be635a, 0x84151852, 0xb5572182, 0x83730335, 0xeb2300b4,
0xdd312d31, 0x05d6dd9b, 0x488da59c, 0x37784d25, 0xda2c2e40, 0x6a8d92fa,
0x6a57d720, 0x950b41ac, 0xf07a8632, 0xcd55f062, 0x2ecad06a, 0xe6a3dfe7,
0x34c98bb0, 0x9c767d8f, 0xb60521b1, 0x752aafd1, 0xe87d16be, 0x9de1d728,
0xe58a8b0c, 0xc6013830, 0x2fa2c119, 0x3c4f9156, 0x519b40c8, 0x5058fc8f,
0xab78701b, 0xadc59c47, 0xc502a554, 0x0fb3286f, 0x6647f04c, 0x9db4076e,
0x5ea495c8, 0x9c74fab1, 0xb4f00f8b, 0x897c7a3c, 0xd092b4c6, 0x283e0340,
0x32f31fa8, 0xeeb708cc, 0x67b63de2, 0x4f7b3c8b, 0xef2bc02b, 0xda14bfe3,
0xc49344c0, 0xaabc85be, 0xb6c4e69e, 0x2ece8aa6, 0x63a11016, 0x19cfba4d,
0x726ae4d9, 0x0fc90b42, 0xee6ae707, 0x4290b04a, 0x4d9aabc5, 0xfb2b070e,
0xf34906cd, 0x1ff54b0a, 0x52ca9709, 0x0b42bfe1, 0x16431570, 0x980f3076,
0x6b5565bb, 0xeb8c4c4a, 0x9ce63c76, 0xb9e4c771, 0x3da24c53, 0x6f0266fa,
0xb50e3c66, 0x76e34f79, 0x01bb4b96, 0x9948cf3e, 0x0fbea124, 0x86bead12,
0xa1fa4edc, 0xd11e901c, 0xc3b97bf9, 0x71730e03, 0x370ca58e, 0x48b19715,
0x886467e2, 0xdb237497, 0x3c727e24, 0x2116ccd2, 0x8e67d76e, 0xf973aecf,
0x34bdedd3, 0x31d680ec, 0xb042ab05, 0x770e96a0, 0xfc5c3c17, 0xab6f1874,
0xb8204ece, 0x5843f3a5, 0x416c0ced, 0x11dd112f, 0x95780183, 0xb1c74bd8,
0x7e0e8613, 0x96c6453b, 0xa79ffc10, 0xb2157651, 0xfcd6da0a, 0x836a34a7,
0x3dd0ccac, 0x316e5a36, 0x496049ed, 0x0322bcb2, 0xdea1a97d, 0xcdf2aa5a,
0x39578d53, 0x1d1aa931, 0x030565c9, 0xd198cbed, 0x324e0a27, 0x5db83e8a,
0x28432534, 0x90bf23e8, 0x5cb134c0, 0xdd0adab6, 0x009e5051, 0xf8ad61da,
0x7e36a6d7, 0x84c75e57, 0xbdffe6aa, 0xb5d5532e, 0x138d680e, 0xbd84ddac,
0x4a5f74a1, 0xccff00d1, 0x55538cfa, 0xb0948b8c, 0x48528011, 0xe345f82e,
0x9e047ad7, 0x6ee770ff, 0xea77bef0, 0x0fc13669, 0x2f162567, 0x869426ac,
0x0614686c, 0x3a3ff464, 0x4263ed82, 0xb3589b47, 0x57205a7a, 0x213f24ad,
0xae6fc46b, 0x3de03e4e, 0xd92b133f, 0x315a589b, 0x1b49c24a, 0x73381bcb,
0x1641c138, 0x7bc99425, 0xbc680ada, 0xa5cfbc9a, 0x962e9884, 0x0a960d70,
0xfc8d12f6, 0xed18ef4c, 0x60acc868, 0x9aea5d14, 0x13113036, 0xc747c87e,
0x2d99a5b0, 0x3a369bb3, 0x006b3658, 0x118a5135, 0xe43fa6e6, 0xb4947190,
0xa13dc05e, 0xd7733db8, 0x0dbd7170, 0xc3fb67d1, 0x117ed7e7, 0xe2d72a49,
0xc05fe99e, 0x9638db40, 0xd971a25b, 0x4239d468, 0x1a159559, 0x850a223c,
0xc1117392, 0x22d2dbd8, 0x567b5fc0, 0x92c5b4eb, 0xc051007a, 0x11cc0099,
0xfb355720, 0x6907810d, 0x39848161, 0x5e8534f4, 0x61d19ef2, 0x2ee8c466,
0x8a0ab03c, 0xc234af76, 0x879aa514, 0x9774a235, 0x59e5da57, 0x9bc466b3,
0xf339bd5a, 0x44ab026d, 0xbbb5fd67, 0x2b977202, 0x3685c9f2, 0x03e5dc00,
0x7054359e, 0x5239cfb0, 0x9ba11f08, 0xf8237562, 0x9c258687, 0xa3b510dd,
0x52c7bf8f, 0xb31ed0cf, 0x3245e079, 0xff9ff8d3, 0xbaee38c7, 0xf17d5562,
0xf702b3b9, 0xcc4c8563, 0xcbca275d, 0xe005d9d1, 0xe817dbac, 0x05c6920a,
0x62cee350, 0x0f1deac0, 0x19e049b9, 0x59599f74, 0xb2a27a16, 0xf0911d5a,
0x7dcef00d, 0x3603dd66, 0x37552251, 0x97813735, 0x5fa022da, 0x0d849416,
0xefbe57c2, 0x30a0e592, 0x57619296, 0xc953cc47, 0x11735043, 0xa83526ad,
0xc0444be0, 0xb5f8463c, 0x16ff5136, 0x2a0a6631, 0xf037572c, 0xd30464da,
0xb1bf8daa, 0x7f5718f7, 0x0f3e9e7e, 0xe5a4cfe7, 0xc26f2624, 0x8c9b5ae4,
0xdfe8f485, 0xf6fa82e3, 0xc64a1509, 0xacb24aea, 0x3024b220, 0xddb02ac0,
0xddcdfedd, 0xd834c574, 0x384c86c3, 0xd904e099, 0xdd48a571, 0x4550a05f,
0x77b35c74, 0x81e85f71, 0xaaebdc6d, 0x0f9bb0b1, 0xd4cdc054, 0x7af4df85,
0x845786af, 0xe5e53887, 0xdf2a91ca, 0xf6a58211, 0x5689a3c4, 0x8cf6aa15,
0xa705983a, 0x9fbf2f52, 0x2ce7fef0, 0x48e84a62, 0x4a3b5365, 0xf8281a47,
0xd48a0872, 0x8423dcf6, 0xf0929c3e, 0x044a5049, 0xe9ec071b, 0x17decc36,
0x20e30c1b, 0x45fc2813, 0x3342196a, 0x46afb7f9, 0x6601e337, 0x30754439,
0xf18094d1, 0xd38b4112, 0x61410dd1, 0xd8796b36, 0xd97d4dd8, 0x47e9bc0b,
0x80805191, 0x1584e2da, 0xcde438c1, 0x955d24f1, 0x409659a1, 0x1b0950b1,
0x5a09635f, 0x65b1febe, 0x615472b9, 0x525dc00a, 0x6308e067, 0x4089e2d4,
0xd4e705a4, 0x43fc9209, 0x32c18b26, 0x4447a5fa, 0xaf271153, 0x3617cadc,
0x4dc4f0d2, 0x692eb386, 0x6aa116ef, 0x655991bc, 0x0641dc0b, 0x54469597,
0xc6559664, 0x749c0fe8, 0x4bdc0d1a, 0xa7d3381e, 0xc5292a61, 0x4eb65fdc,
0x42474cc2, 0xf2c6b173, 0x19dfc9ee, 0x0a19a199, 0xbece2ee3, 0xc68b778d,
0xaa03aa7c, 0xc8db86f0, 0xae54d2be, 0xb92a01e0, 0xdee3f48f, 0x6023c0a9,
0xf6ae2852, 0xa233763b, 0xa441cb9e, 0x3246dddd, 0x3a8bb4b7, 0x44faa3c3,
0x308ef2c8, 0xfd1c8516, 0xd2862534, 0x3b25ebe7, 0x62336f6f, 0x0c336a45,
0x0b8e2ce6, 0xe867f171, 0x11eea1f2, 0x523972ec, 0x68df4903, 0x50c05824,
0x51ef4cb7, 0xcb4df2a8, 0x3ffae115, 0xb51aca2f, 0x3ed1635f, 0xd6ff1cc6,
0x0a5ac09f, 0xde8ed9d6, 0x0a3dc76f, 0x5dc2d8dd, 0x37991dde, 0xf95bacb2,
0x80ad6e13, 0x163005ee, 0xd4f8c7a6, 0x3225d180, 0xa4760f08, 0x5fff004d,
0x9b2b1a87, 0xe7ea8576, 0x5cd00b66, 0xec478452, 0x285dd80d, 0x20112439,
0x4301b3a1, 0xff879fc8, 0xfacbb68c, 0xaf6af6b8, 0xb17fdf84, 0xc208d9f1,
0xf4489576, 0x8794a6e9, 0xadcc862c, 0x0e83e54c, 0x931685a4, 0xab01c580,
0x1e40293b, 0xcad784fa, 0x1f1ddf7f, 0x6b856084, 0xcee722b2, 0x1c39938b,
0x74254eb4, 0xc7ccebf4, 0xb9c26d9a, 0x6b08dfb9, 0x2e3ece24, 0x981455ec,
0xdff60410, 0xbc804e2b, 0xe06fa38b, 0xb534540c, 0x72e53c52, 0x02dfb2ef,
0xb2a5c05a, 0x5002a2a5, 0x97313338, 0x597c53ff, 0xd61df455, 0x34e5261a,
0x39ac2ec5, 0xc6bc0cab, 0x388b7539, 0x3f732fc0, 0x00eac704, 0x92fb21d9,
0xc089971e, 0xb4ffa503, 0x7af93f8f, 0x72e353b6, 0xa8311b23, 0x8266c9af,
0x1de496ca, 0xdbdb16b0, 0xd6fa0b51, 0x9991a5ef, 0xbd563089, 0x168cbe0f,
0x0954a1e3, 0x537b9245, 0x53d09723, 0x2867272d, 0x86558cb9, 0x0b83f026,
0xfac85d10, 0xf8562951, 0x1e5ddb95, 0xad3668c8, 0x48d27b92, 0xc930b7e6,
0x19b58a99, 0xa3de74e3, 0xa9cda917, 0xcb6e35ee, 0x7a4dd16e, 0x4c80e9d5,
0x4d84073f, 0x74a95ba8, 0x9cffcfc0, 0xd28485eb, 0x15796372, 0x5717e9cd,
0x77eda8df, 0xab473c4e, 0xadb965e1, 0xffad6959, 0x5bc05659, 0x6ed63880,
0xfb240227, 0x2014850b, 0xd15fdddf, 0xfdd74592, 0xb538f37d, 0x3a8e2e82,
0x1473396f, 0xf6a5edf8, 0x3ce41a21, 0x0cc4351a, 0x754e8264, 0xaab95e73,
0xc7821b96, 0xf42ff463, 0xc242faaa, 0xdd00ac65, 0x087e260e, 0x17d193f5,
0x0dbe0328, 0x844a63c9, 0xf9d10f96, 0x85aa91dd, 0xbaf127ec, 0x0ab6dabb,
0xce85e6a5, 0x1af5d24f, 0xe7b56a16, 0xcd6c5a19, 0x57d1d79f, 0x5dfc2b28,
0xec4dd2f0, 0x18fe64a1, 0x8d72216a, 0x5f222077, 0x72f14a08, 0xd8b09b11,
0x3bf038ab, 0xc6cf1f44, 0xc4265d7c, 0xdab1b0e7, 0x46398d2c, 0x7dcfdc68,
0xb6e705d3, 0x4aafd1e6, 0x362c1183, 0xd8701107, 0xf6ac98b7, 0xad114d7e,
0xd6649424, 0xc40ab551, 0xddd1c6e4, 0xa132030f, 0xc9d284c8, 0xdb1f662a,
0x824069ee, 0x4157904b, 0xc846b3ad, 0xd38481ca, 0x0a248c17, 0xc846831f,
0xe8745feb, 0x000025a8,
# define TENS_P14_IDX (TENS_P13_IDX + TENS_P13_SIZE)
# define TENS_P14_SIZE 1703
[TENS_P14_IDX] = 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x099f0001,
0x41b5687d, 0xcbfd1b6e, 0x8c75ee63, 0x4b191cea, 0xd75296ad, 0x2394d80a,
0x1eb5da9b, 0x18a004ed, 0x5c79fed9, 0x37e3b01c, 0xed67a1b8, 0x78d9a714,
0x2a1a34d5, 0x8fbe7f0d, 0x6b1d3516, 0xe57c43ea, 0xa7825681, 0xc81d32e8,
0xd3e716e1, 0x58860b00, 0xa6d93d65, 0x83159c97, 0x0113232f, 0xd6122269,
0x7321c3a0, 0xbe6a92f3, 0xca4ca9d3, 0xd1e276a5, 0xc0e55163, 0xb05915d6,
0x7b7a78c1, 0x0fae0ca4, 0x62a3df4b, 0x08abec6f, 0x13030d11, 0xd446338a,
0x60dcc8f2, 0x5f05d1d5, 0x25e1f9f6, 0x04a40bee, 0x7f8c7113, 0x88f47ec0,
0x589ff59a, 0x308c3661, 0xea5068a1, 0x95fb108f, 0x06e87dff, 0x1559e741,
0xd4d4abdc, 0x01e092e4, 0xee16907c, 0x5a7b78e6, 0xe73aabcb, 0x146bb7e0,
0xad372889, 0x4f6b43c5, 0xfd49fc1d, 0x0f29f589, 0xd3739253, 0xc4745a56,
0xe2acfcc2, 0xd75ccbc7, 0xedd016cd, 0xac5a63e0, 0xef82ccd3, 0xb352496e,
0x2bdabfc4, 0x5b3d0401, 0x01b0197f, 0xade96d3c, 0x29d9253d, 0x19bebdba,
0x73c56b1b, 0x255e7b25, 0x1f2b7f1e, 0xa56a457e, 0x6299c836, 0x5c63cc78,
0xa2ca74c6, 0x5c85fe93, 0xee571bea, 0x508e2561, 0x2db5f1d0, 0xb1fde6a9,
0xa9b87b99, 0x4fb90a37, 0xf7260f07, 0xff58c5fd, 0x56ee7e97, 0xbab9fa46,
0x42e6f9ce, 0x78816f73, 0x1b76d267, 0xfdb2c728, 0x4566519c, 0xae17dd8d,
0xb9f6a95f, 0x1cd533a1, 0x67160dea, 0x14534bac, 0xfcd8f8f9, 0xf3f2901d,
0x708b1f0a, 0x8829063b, 0x9457a1df, 0x8f872aa1, 0x36bb9335, 0xb5672c0e,
0xd889d109, 0x7ec63a6a, 0x93306672, 0x39b6d457, 0x8239ab68, 0xef2e2506,
0xbe0d7a1f, 0x4251b635, 0x05f65522, 0x0ef0bd55, 0x03286891, 0x2c42b664,
0x9815fbac, 0x471fd611, 0x814e379c, 0x7dd8349d, 0xa4a25bda, 0x9886b84c,
0x01b9e39d, 0x5a7ce1a2, 0xae31cbc9, 0x86d07f32, 0x83ef8faf, 0xb66b5b76,
0x58470fdf, 0x96d59b73, 0x51618889, 0xdc400cf7, 0xfc8e0fc6, 0xaf693670,
0x09a08e56, 0x91737de6, 0x74f682e1, 0x0e03923f, 0x7f8ac56d, 0x7400cfd4,
0x8e05e49a, 0x4cebea3c, 0x384e1164, 0xb2e43d8c, 0xb50ae05e, 0x0f0b3ed9,
0xa4006123, 0x64137137, 0x4e9a1934, 0x05404100, 0xd9621be6, 0x9329a255,
0x5c347ebb, 0x75cbeb1b, 0xe684346b, 0x840fee55, 0xba6a9753, 0xf43836f6,
0x60505b7b, 0x334a9278, 0xfd6d475d, 0x5db94761, 0x267375aa, 0xc110e160,
0x024f6d63, 0x2ec96610, 0xa99b4c19, 0xb915c9f4, 0x338cfd90, 0xf02ea846,
0xb9e51a09, 0xae928fb1, 0xfae31d88, 0x1a3db721, 0x8475dd26, 0x5769489d,
0x7ad4c407, 0x0a49e9f0, 0x34e275c8, 0x3d075d83, 0x1d63114a, 0x72a96415,
0x6b98e947, 0x1d500b5f, 0xd50fdc36, 0x141e5085, 0x87751275, 0xe7843834,
0x2278809e, 0xb15c52ee, 0x947aead2, 0xfedb7b02, 0x5197b744, 0x64e09ba8,
0x8849d0a6, 0x23beaa85, 0x11ecb913, 0x0f7ed667, 0x5d984848, 0x9f6331ea,
0x588290e9, 0xa24d64d1, 0x7e09e9e5, 0x32592033, 0x03a501df, 0x27c270a6,
0xbb3df738, 0x3c7c5a70, 0x4190833c, 0x7d4bf9f4, 0x80e5d89b, 0xa7fc6194,
0xfaefb663, 0x62e52b49, 0xd3b6adcd, 0x809646fc, 0x1f2cf73a, 0xb765ed4f,
0x531e4bfb, 0x92cd05f2, 0xaf12d1a6, 0x22ee30f3, 0x38da1074, 0xed6447bb,
0x1a725608, 0xaff222d3, 0x7a3c6f54, 0xbca79a56, 0x7b0e8d12, 0x1c4660c5,
0x6e34d6fb, 0x6f481a9f, 0xfe9dc99c, 0xf888db82, 0xd8489ea0, 0x84b4c0fa,
0xc0dea281, 0x977a8583, 0xae30e887, 0x8c1cbcec, 0x1d4848cb, 0x0ee0d137,
0xd011b0fc, 0x94b5fd49, 0x478d7dd4, 0x3d67f2e7, 0xacab62ad, 0x0ab4e62a,
0x1dfc7df5, 0xd22e4553, 0x870b0e75, 0x49b7b001, 0x1b73bf6d, 0x12807ffd,
0xdc9f0737, 0x6f3e5852, 0xc0e2f250, 0x93e62e4a, 0x4d96a55a, 0xc1d0e185,
0x83a126db, 0x190b917b, 0xefbfd043, 0xc7df1669, 0x8f25b6dd, 0x2062eac9,
0x476c17a6, 0xcb60f278, 0x25460383, 0x0e85e996, 0xda8c05be, 0x6f678a34,
0x69206234, 0xf59be929, 0x1947b69a, 0x0ebfa11b, 0x90fd8322, 0x15c1e9bf,
0xd699b1ec, 0xb2f0343f, 0x7001d002, 0xcf76eaaa, 0xc0778ab5, 0x5173eda8,
0xb7b008e2, 0x4e00e4c6, 0x505d3f4d, 0x99dd341a, 0x1c9d4e12, 0x4ffb6978,
0x474c5e95, 0x6e9ca6dd, 0xda19f938, 0xe2dda6e0, 0x98dc318e, 0xda455e54,
0x3f67b836, 0x21e4181c, 0xa97e9a64, 0x1e17f655, 0x527a08bb, 0x1712dc21,
0x682972ad, 0x0042d256, 0xccbeadf1, 0xca497b96, 0x861e99e0, 0x0d8aa585,
0xeeb0f650, 0xdcc3c3da, 0x506af77e, 0x5deb9768, 0x7c9d60be, 0xe9d978b7,
0x37b37e95, 0x77ad0b94, 0x42747f75, 0x07be42c4, 0x6d5fd2fe, 0x4c8c5da9,
0x0d8fc27d, 0x0f2fd50f, 0x0ccf6023, 0x5b56053f, 0x3b1101bd, 0x56d34906,
0xc0feca27, 0x7602a150, 0xc4888da4, 0x419abe54, 0x56d10633, 0xc76120ed,
0x8db14123, 0xb656e675, 0x741e8f76, 0xd297b94e, 0x96be6f21, 0x3662439d,
0x9b409e27, 0x6626574d, 0x35fff92a, 0xbf558205, 0x69e02439, 0xbe6838b7,
0x6400fd4c, 0xa00f64ca, 0x1f4b158a, 0x9e2052ae, 0x04cca558, 0xfb5ee69e,
0x58da644c, 0x96f26e1f, 0x8ab19401, 0xbee1e16b, 0xed8bf908, 0x2f2809a4,
0xd50babab, 0x6e57f7e6, 0x6b0a8929, 0xf7356431, 0xb54a4cfc, 0x9a1d0ac4,
0x6f9fd6cb, 0x836bfbf8, 0x3b42f469, 0x8bd32129, 0x40111b6b, 0x7c278fb1,
0xb345d955, 0xff1fd188, 0xd32cd13c, 0xf7ec3aa0, 0x3789f792, 0xab707fa4,
0x4d79a4bf, 0xb3a28ceb, 0xd9c24d8e, 0x7134dadc, 0x06e2eb3e, 0xd7c04f76,
0xb379d811, 0x2b3b0ebc, 0x8c94fc33, 0xa28b53ab, 0xc06c5d01, 0xd900432a,
0x7fea91ca, 0x6d30b008, 0x64845f08, 0x796f5349, 0xfde4687d, 0xf888fe67,
0xe0046c56, 0xae482177, 0xce98cb11, 0x84590c46, 0x1feb4400, 0x6e1ba29b,
0xff2f1611, 0xf73f3e9c, 0x3159ca8c, 0x34845918, 0x56f0ed46, 0xb7d10c32,
0xd9a16a01, 0x405b9e91, 0x3cee3e24, 0x8739e4a6, 0x2ab396b4, 0x3f1b7871,
0x09835dfd, 0x8c7a489f, 0x1592b74a, 0x05df7c81, 0x0e8d3f37, 0xa61ff273,
0x68b29622, 0x259cd337, 0x43ff84a6, 0x81cf8fe9, 0x566ed883, 0x48427fc6,
0x35c79428, 0xcfd2fb59, 0xa97e8c8b, 0x750aaed8, 0x32ddca23, 0xaa8108ef,
0x96fbfff9, 0xa1d039aa, 0xe3cdf588, 0x47e77e00, 0xcd6b3fdb, 0xe72a9a80,
0x9a522152, 0xeda06283, 0xef175610, 0xa670cfa1, 0x339fe6c4, 0x2dfbf3ee,
0xc2d7f53b, 0x92a44e27, 0xcc47e4b0, 0xdfa212bc, 0xd64f83c9, 0x997e5475,
0xb51319bf, 0x9fffe599, 0x1fc2c7b6, 0xef5605e7, 0x832169dd, 0xfeb6be4e,
0xbf921dc8, 0x60bdfb1d, 0x72759f8d, 0x3546efa0, 0x020eebed, 0xcaab3d64,
0xdb20a2fe, 0xba1218f6, 0xb2b62bdd, 0x3101eff0, 0x8fde5cfa, 0x2e319213,
0xa52114d2, 0x87eead3f, 0xdf08b1dd, 0xa5387642, 0x746f34d0, 0xd76c4844,
0x4cc40317, 0xe4f689c9, 0xb7d76071, 0x5fe0b4a2, 0x6e1c7915, 0xc7d43f53,
0x3efb7d71, 0x068dd906, 0x35a75f5f, 0x652d7770, 0x750f4607, 0x64a1656c,
0x36c2cf8e, 0x214d758b, 0x9348ef93, 0xe4058978, 0x9674b7f3, 0x10570b0b,
0xbdfaba8f, 0xcef09dd7, 0xa92b261f, 0x071c21b6, 0xcbebb81f, 0xf427ed6c,
0x44228cd6, 0x65e56fcf, 0x5036c460, 0xad919def, 0xccfd848b, 0x61d158a6,
0x7527dca3, 0x4cf30459, 0x50855075, 0xa70dfd09, 0x3540f5aa, 0x35577adb,
0xb5ba3d4e, 0x35736c4f, 0xcdfb689f, 0xefe8fa82, 0x97ab0dca, 0x51bd2ff3,
0x77a7fe9c, 0x3107846c, 0x3d618b81, 0xbca797a4, 0xfc5e9651, 0xe2e08fbc,
0xf7e8791f, 0x772f1cc0, 0x7c426f9d, 0x08d56f88, 0x0080c3ab, 0x0deea663,
0xe6d46ec6, 0x7dca4eb7, 0x6b681d9d, 0xda06730b, 0x4af0e0f2, 0x038bf468,
0x52097463, 0xca19d302, 0xbc09bb9a, 0xaa55aeb1, 0x3ded4433, 0xf27938ba,
0x3e4b7865, 0x28296be7, 0x7ef96314, 0x7a1d55cc, 0xdf0b6b47, 0xcde11852,
0xcedda5bd, 0xf00a0eb3, 0x72ca1a8b, 0x5241b572, 0xb002fdcc, 0xff8898b3,
0xc4878862, 0xb3e85372, 0xbf4bca29, 0x7e1fef45, 0xf2d83189, 0x0f5427af,
0x3cdf9e05, 0x75bae885, 0xf65c06ac, 0x9c71a700, 0xa3145eac, 0xde63bab2,
0x76255bbf, 0x6e817be6, 0x4c6ad3d0, 0x25ab9935, 0xe95ef2f8, 0x11cd095a,
0xd54f78de, 0xa001ae7e, 0xb3829dcb, 0x5abd18bd, 0x18eb9c9e, 0xada3c504,
0xe3e3556c, 0xd35479aa, 0x5191ac5f, 0x221821ac, 0xc8d1d9d3, 0x313a8c51,
0x088c3fc8, 0xc146a264, 0xb154abed, 0x92755bc5, 0x349ec093, 0xf94aba57,
0x41d5886c, 0x0a5ad8b2, 0x36aba94b, 0x883a6758, 0xa9ad229f, 0x5d64069a,
0x0546172f, 0x0366da16, 0xc3808ea4, 0x0b172403, 0x70f0a235, 0xfa816e66,
0x4fceb827, 0xa65fcfea, 0x167b56d5, 0xfe2b9fb2, 0xfec36bcd, 0xa84c4cc9,
0xcd96320f, 0x3e128584, 0x09eda8b8, 0x91eca525, 0x7ec7e17b, 0xbc45bedc,
0xc14032f4, 0x9be689a7, 0x2eb20bc0, 0xffdf1efc, 0x14ef835f, 0xc6966c59,
0xcd778dd8, 0x5feb0f3b, 0x23d47715, 0xd64b87c8, 0x5722a550, 0x62883198,
0x315a1a8b, 0x648e17e6, 0x4b7e9d7a, 0x2ba43d28, 0x67caca84, 0x741f0398,
0x6e660159, 0x3e16e1a9, 0x3dde3c45, 0xa53e56ae, 0xc7eb0aef, 0x3f39f33e,
0x78751d73, 0x45816df8, 0x626770f7, 0xcb17d28d, 0x909e87f4, 0x93a86aba,
0xc1dcf328, 0x1a1e4ce2, 0xd895d042, 0xb9f6dd69, 0xbb00eaf5, 0xacc37687,
0xca609578, 0x5b490d39, 0xf8b86d4c, 0xf2737ef0, 0x39419f6d, 0x69267bc0,
0x72524a03, 0x6eb060c4, 0xdbc01e93, 0x291035b1, 0x83984d54, 0xf673ad85,
0xe08cbc20, 0x1fb24915, 0x584803a6, 0xe15bbcd7, 0x4088ddb5, 0xd4c22542,
0x2c18041a, 0xa51372d1, 0xb2ba69b4, 0x2299283f, 0xcd11c296, 0x25dcd6f3,
0xac54df23, 0x24a3a55e, 0x77e16e1d, 0xb3cd415b, 0xb99d85c0, 0x497befc7,
0xe91154e3, 0x7365cd8b, 0xb55100aa, 0x0ee699eb, 0xfc0927a6, 0xefb374de,
0x8acaa910, 0x83b40e3d, 0xda3f0006, 0x8590a089, 0xc6ce1b75, 0x54f6ff20,
0xfda2f7f3, 0xd2ab58f6, 0xd0763b6d, 0x6caf2515, 0x2519622d, 0xc3714057,
0x9863638f, 0xea00bb4f, 0x09ea4a4d, 0xe69de96d, 0x6b01fe5f, 0x960161a5,
0x529e32ec, 0xf8260ae9, 0x01a37eea, 0x69710577, 0x5aa0716f, 0xcb3fb1da,
0x4260feda, 0xa33fb790, 0x76012f75, 0x24c0e5be, 0x130f09ae, 0x2e8323dc,
0x5c8ecb76, 0x17cb8f12, 0x401b5f5c, 0x5f0a63e0, 0x47e1560a, 0xdc57a786,
0xee1377d4, 0x228e7ee5, 0x0aa294b9, 0xaea6c534, 0x55b0fe2f, 0x922d318a,
0xf108b772, 0xf15bddf6, 0xdfb69702, 0xcd438a4e, 0x90e1db66, 0x584ce4a1,
0x568ef6cb, 0x69e55f9d, 0x6da376ba, 0x5ca6c109, 0x45c7e294, 0xc977b3e9,
0xcf5b6c0c, 0x1d694499, 0x11b487ae, 0xcf8339ac, 0xbcb3cc6e, 0x50b828e0,
0x046b1071, 0x5703ed0d, 0x2c615946, 0x720d1610, 0xa908dbd0, 0x742bbe33,
0x22c076e2, 0x48966a66, 0x1d0cefa4, 0x1dde819f, 0x601352bf, 0xb9370c39,
0xa585cc4a, 0xeb857f94, 0x5a2f7206, 0x3fae6b58, 0x49cd0f1f, 0x78e5fb3d,
0x1b89d476, 0x74e9e65b, 0xed82945b, 0xb74e6483, 0x2941c4d9, 0x7e087acc,
0x565c18dc, 0x1a09f2e5, 0xbf4ccd3d, 0xd304e977, 0xa522631d, 0x6123378e,
0x4517109b, 0xb7e4285a, 0x4bf1a506, 0x625803c2, 0x683172f8, 0xc84e7354,
0x3f8a2b11, 0x7dd12b89, 0xed420491, 0x8c698b0b, 0x9853fb97, 0x9631777b,
0xb697e1c9, 0x5f028f05, 0x51038110, 0x9055f055, 0x30e255e3, 0xe2d0c1b6,
0xb990321e, 0xa8fdf4d1, 0xff4dc144, 0x521a3056, 0x148999e0, 0xa8111c66,
0xa9c96852, 0x8157f508, 0x4b394a94, 0xa0dc4df1, 0x94ec2e93, 0x6e6afa56,
0x8fc28377, 0xf72ffa04, 0xc435186f, 0xf91488b7, 0x8d037f6f, 0xa899ec1e,
0x48757727, 0x4101b612, 0xb8cf377d, 0xa5a54e68, 0xb4570569, 0x2ac5a0a0,
0x063d9cfd, 0x7c504c74, 0xf1a5884c, 0x0a9b1955, 0x8d0b91bf, 0xe5f6862f,
0x79ff5361, 0x0ed3d38f, 0xc6fd31fb, 0x9fe131c7, 0x85b9c648, 0x8febf2b4,
0x8e77e86b, 0x992ba80e, 0x56429986, 0x6848879a, 0x608cdda5, 0x3e0d106e,
0x754b300e, 0x25200576, 0xafd5195b, 0x5d37aad9, 0xe81f0939, 0xe00a390e,
0xdeeea20a, 0xf5fef0be, 0xb5d51155, 0x6e27d173, 0x9e72ebcf, 0xb776e978,
0xb966f7ba, 0x09520238, 0x726c8408, 0x3347ebc5, 0x65dce5a2, 0x3ec78337,
0x8c92d740, 0x3cdde3fe, 0x32caec93, 0xd20379ae, 0x411be811, 0x41756580,
0x72fa1bbd, 0xa92125b3, 0x84c42f04, 0xdd4ee5fe, 0x3a25922c, 0x96446853,
0x49ad3be0, 0x2880366d, 0x1c841afe, 0xf1e09019, 0xfb905fe1, 0xa451ad59,
0x3ba9d0c9, 0x56db2e9c, 0xa42419f2, 0xe921e7a0, 0x3c9a3ca5, 0xad8ea375,
0xcec7d091, 0x99bdb940, 0x477ef58f, 0x8a4933c7, 0xb2598b8d, 0xf5659df7,
0xcfac1e1c, 0x339f8748, 0xe2a04aab, 0xe122b03f, 0x45bc6f37, 0xc9feeb30,
0x9c75aaa0, 0xc13c174e, 0x0ea0585d, 0xdc58bbb4, 0x3a96bd5a, 0x20251482,
0x3c7a714d, 0x696897eb, 0x6cb83b6b, 0xa37de406, 0x3b496b5f, 0x37e75d6a,
0x380dd382, 0x0e1a513c, 0xda26fac9, 0xf2458364, 0x12b5c6ea, 0x79ce9e47,
0x1ff1fcbf, 0xbe7c6e86, 0x59a6a7ba, 0x8d70f515, 0x94761453, 0x6b04e425,
0x8768ffb2, 0x1ca5f425, 0x3f9e8407, 0x3b641184, 0x5f8f6756, 0x62b1a5a5,
0x56bc2120, 0xd1e5da68, 0x17f2fa18, 0x8cce5e2d, 0xa1bc9c06, 0x8e290fb1,
0x892df1af, 0xad10b8c8, 0xb43e5517, 0xd0597409, 0x4407c38f, 0x4a020d81,
0xfea9c9b6, 0xd8e0e7d6, 0xd5b2aaf9, 0xde5e9b40, 0xda44ed4a, 0x45d6bf41,
0x87aa3ca0, 0xc62d12fc, 0x4708acc8, 0x10212e26, 0x0d1227ff, 0xfeeb5742,
0x5da02550, 0xd66668e7, 0x1d56e5e1, 0x32c215ec, 0xae1e0bef, 0x7f048b7e,
0x58c0e922, 0x2aea8619, 0x58251aac, 0xbbe10425, 0xa1fea536, 0x2e1d9667,
0xd233eb7d, 0xcf435c0b, 0xb0693c67, 0x61d918ea, 0x903ec9f0, 0xd6c4e8ac,
0x0efb1788, 0xb0098f5b, 0x1709d878, 0x3c12b35e, 0x3f6ce1b7, 0xa1b3ff54,
0x8a8f7dbb, 0x37608d6a, 0x73e8563e, 0xa3330540, 0x64e00749, 0xebbfcab9,
0x8d5caaf9, 0x3bc87c7e, 0xedb2bd94, 0x22f8f62d, 0xe656dec3, 0xc5683222,
0x670c1626, 0x94089e7f, 0x4237542f, 0x47d29440, 0x2fc4e530, 0x8419441e,
0x8b288dac, 0x7f9245f9, 0xa7afb4e9, 0x8a15650d, 0x082adef7, 0x3104ef19,
0x043c62de, 0x0aff3dc5, 0x7ecd0635, 0xe7e80a8b, 0xe0600fad, 0x4d8e81cc,
0x81ebf4e0, 0xf587e30f, 0x7b372af7, 0x2d8f8ca0, 0xdee11c6f, 0xd3624b1c,
0xf8adc426, 0xca9debed, 0x5c22de4f, 0x3634f778, 0xfae3186b, 0xacf8b595,
0xd7bfa75f, 0x003cd316, 0xbbfe3cf6, 0xb023cb50, 0xc51055a1, 0x0063cffd,
0x93869a77, 0x51e022d4, 0xfbceeb10, 0x5187457e, 0x109defc9, 0x673892d8,
0xe13cfde2, 0xd4aa3272, 0xc09c8134, 0xbf89ad5b, 0x0327181b, 0x09511ec7,
0xaa21b632, 0xd7e72186, 0xe41885b5, 0x46713f9c, 0x493d2789, 0x1386c526,
0xd5d22a5c, 0xcefddfc4, 0xcf59281c, 0x92973ea6, 0x4ebe43f6, 0xeac5c6ad,
0x6cf4897d, 0xd95082a0, 0x82ce562a, 0x28e5e9bd, 0x28d8f0db, 0xddf06e81,
0x707b0166, 0x7dae3f00, 0xfbf5756a, 0x035a4680, 0x4f114102, 0xe7ba4b33,
0x5190fedf, 0x106a7594, 0xe5f1bc49, 0xaae3ad67, 0xd7a1a766, 0x040ee971,
0x9120a214, 0xf415b374, 0x1edc87ea, 0x17aab43c, 0xc6ad637d, 0x885858c1,
0xd90303c7, 0xbfd4b70b, 0x3ff4eb0e, 0x344a9a88, 0xd81eea30, 0x95925446,
0x5adef0ec, 0xabb5f5e7, 0x20bbd8c3, 0xc1c22cce, 0xe6944262, 0xc5acdb23,
0x80024021, 0x2232c635, 0x94b30c81, 0x55f07648, 0x78569acd, 0x9696ea39,
0x4dd6b528, 0x1c3e1b40, 0xde5853b3, 0x8a2c3679, 0x6eb5a7d8, 0x56bda89a,
0x8f9cf096, 0xfda86d5b, 0x6481c7e7, 0x50a6a7d5, 0x15bfb45d, 0x4f9a5381,
0xc057d45d, 0x4fb10024, 0xa0009f00, 0x5e1ca0dd, 0xac420f74, 0xcfbb38bd,
0xf0d4a615, 0x19bf0318, 0x0e3aef84, 0xcb3d7b20, 0x166c1e3e, 0x58272fdd,
0x3bfacf9f, 0xc0f5ce46, 0x63a13528, 0xea59e333, 0xa020ca8c, 0xaadd116b,
0x3dbb5a3d, 0xe5523f47, 0x747f55ea, 0x0922171e, 0x64d520fb, 0x6c709e84,
0x07ce951b, 0x35fdc402, 0x7508eb6d, 0xc495a8fa, 0xb0d11c39, 0x81313d65,
0x57447ef0, 0xa7b61e26, 0xf72301f3, 0xbb096315, 0x45a3a7c5, 0xa903a44b,
0x00432f88, 0x19081987, 0xeb4e1b66, 0xbb7b66bd, 0x6d245171, 0xde4182f5,
0x0d89bd0b, 0x87f4de6c, 0xf70d8a60, 0x9a87855b, 0x08a27449, 0x4ac7720a,
0xd4964017, 0xb0d9ddac, 0x4db3488c, 0xfe397d44, 0xd07b745b, 0x197dcb7b,
0x6e9d567d, 0xe3b90812, 0x9143fef1, 0xb9e002ac, 0x115ff96d, 0xf60a2201,
0x5b61c9c8, 0x09abab2f, 0xb14a44a7, 0x0ca19c73, 0x843c7997, 0xe3a9bbe6,
0x5e3fc18c, 0x0c0404ee, 0x764df59d, 0x990ec2c2, 0x4ad0ba3c, 0x05e8be0f,
0xe599647d, 0xc19d365d, 0x4d0c2990, 0xe5a9d9ac, 0xb680a72d, 0x4ce2e5dd,
0x6d6c0267, 0x06f9c25b, 0xbd6078e0, 0xb5fcdc81, 0xd742fa41, 0xcccc2399,
0xc691adc0, 0x215ad82c, 0xea73b0c3, 0xa511e5b0, 0xf499e0a6, 0x53e27ab0,
0xd94440a2, 0x47752521, 0x9a6e3644, 0xab113708, 0x8f8b301d, 0x058a42a3,
#endif /* !__NO_LONG_DOUBLE_MATH */ #endif /* !__NO_LONG_DOUBLE_MATH */
}; };
@ -277,9 +712,9 @@ const mp_limb_t __tens[] =
0x26b2716ed595d80full, 0x1d153624adc666b0ull, 0x63ff540e3c42d35aull, 0x26b2716ed595d80full, 0x1d153624adc666b0ull, 0x63ff540e3c42d35aull,
0x65f9ef17cc5573c0ull, 0x80dcc7f755bc28f2ull, 0x5fdcefcef46eeddcull, 0x65f9ef17cc5573c0ull, 0x80dcc7f755bc28f2ull, 0x5fdcefcef46eeddcull,
0x00000000000553f7ull, 0x00000000000553f7ull,
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
# define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE) #define TENS_P9_IDX (TENS_P8_IDX + TENS_P8_SIZE)
# define TENS_P9_SIZE 28 #define TENS_P9_SIZE 28
[TENS_P9_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, [TENS_P9_IDX] = 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
@ -291,8 +726,8 @@ const mp_limb_t __tens[] =
0xb099bc817343afacull, 0xa269974845a71d46ull, 0x8a0b1f138cb07303ull, 0xb099bc817343afacull, 0xa269974845a71d46ull, 0x8a0b1f138cb07303ull,
0xc1d238d98cab8a97ull, 0x0000001c633415d4ull, 0xc1d238d98cab8a97ull, 0x0000001c633415d4ull,
# define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE) #define TENS_P10_IDX (TENS_P9_IDX + TENS_P9_SIZE)
# define TENS_P10_SIZE 55 #define TENS_P10_SIZE 55
[TENS_P10_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, [TENS_P10_IDX] = 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
@ -313,6 +748,7 @@ const mp_limb_t __tens[] =
0xd2db49ef47187094ull, 0xae6209d4926c3f5bull, 0x34f4a3c62d433949ull, 0xd2db49ef47187094ull, 0xae6209d4926c3f5bull, 0x34f4a3c62d433949ull,
0xd9d61a05d4305d94ull, 0x0000000000000325ull, 0xd9d61a05d4305d94ull, 0x0000000000000325ull,
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
# define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE) # define TENS_P11_IDX (TENS_P10_IDX + TENS_P10_SIZE)
# define TENS_P11_SIZE 108 # define TENS_P11_SIZE 108
[TENS_P11_IDX] = 0x0000000000000000ull, 0x0000000000000000ull, [TENS_P11_IDX] = 0x0000000000000000ull, 0x0000000000000000ull,
@ -426,7 +862,441 @@ const mp_limb_t __tens[] =
0x35fcb457200c03a5ull, 0xf74eb9281bb6c6e4ull, 0x87cc1d213d5d0b54ull, 0x35fcb457200c03a5ull, 0xf74eb9281bb6c6e4ull, 0x87cc1d213d5d0b54ull,
0x18ae42404964046full, 0x8bd2b496d868b275ull, 0xc234d8f51c5563f4ull, 0x18ae42404964046full, 0x8bd2b496d868b275ull, 0xc234d8f51c5563f4ull,
0xf9151ffff868e970ull, 0x271133eeae7be4a2ull, 0x25254932bb0fd922ull, 0xf9151ffff868e970ull, 0x271133eeae7be4a2ull, 0x25254932bb0fd922ull,
0x104bcd64a60a9fc0ull, 0x0000006230290145ull 0x104bcd64a60a9fc0ull, 0x0000006230290145ull,
# define TENS_P13_IDX (TENS_P12_IDX + TENS_P12_SIZE)
# define TENS_P13_SIZE 427
[TENS_P13_IDX] = 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x9f34522664cf8001ull, 0x7b8d5053644963e5ull,
0xb945c82f49f0aa29ull, 0x933b6bb8430ff478ull, 0x64c501d45ff82d0aull,
0x9ec1e1b373bbf174ull, 0xe90106893bfbe803ull, 0x3fef8d80f7390d8eull,
0x2c73446bf31d1325ull, 0x1c19e379f5ca7a92ull, 0xf52d9d9c270af2beull,
0x3abf72e1eb2bed48ull, 0x7ecf35084ac4ffc2ull, 0x38597a5a22019a82ull,
0x9a51ff6ebe6a7b3cull, 0x0c0abe9da2d28437ull, 0xc79887ff7c9ec6eaull,
0x436420d05851c899ull, 0x72b5547fefead581ull, 0x077ad8f899b1d2b5ull,
0x3b4305ed5cddbf5bull, 0x2d88f3fde3861ac7ull, 0x393220aa3d6b43beull,
0x1cd62095e5382405ull, 0x87a0d1e161a10c96ull, 0x68c933e6ca95a55dull,
0x778089bb9ee082e2ull, 0xfbb6d8d441429ee9ull, 0x26cf5471c529500dull,
0xd6c9b14068b9be29ull, 0x8415185207be635aull, 0x83730335b5572182ull,
0xdd312d31eb2300b4ull, 0x488da59c05d6dd9bull, 0xda2c2e4037784d25ull,
0x6a57d7206a8d92faull, 0xf07a8632950b41acull, 0x2ecad06acd55f062ull,
0x34c98bb0e6a3dfe7ull, 0xb60521b19c767d8full, 0xe87d16be752aafd1ull,
0xe58a8b0c9de1d728ull, 0x2fa2c119c6013830ull, 0x519b40c83c4f9156ull,
0xab78701b5058fc8full, 0xc502a554adc59c47ull, 0x6647f04c0fb3286full,
0x5ea495c89db4076eull, 0xb4f00f8b9c74fab1ull, 0xd092b4c6897c7a3cull,
0x32f31fa8283e0340ull, 0x67b63de2eeb708ccull, 0xef2bc02b4f7b3c8bull,
0xc49344c0da14bfe3ull, 0xb6c4e69eaabc85beull, 0x63a110162ece8aa6ull,
0x726ae4d919cfba4dull, 0xee6ae7070fc90b42ull, 0x4d9aabc54290b04aull,
0xf34906cdfb2b070eull, 0x52ca97091ff54b0aull, 0x164315700b42bfe1ull,
0x6b5565bb980f3076ull, 0x9ce63c76eb8c4c4aull, 0x3da24c53b9e4c771ull,
0xb50e3c666f0266faull, 0x01bb4b9676e34f79ull, 0x0fbea1249948cf3eull,
0xa1fa4edc86bead12ull, 0xc3b97bf9d11e901cull, 0x370ca58e71730e03ull,
0x886467e248b19715ull, 0x3c727e24db237497ull, 0x8e67d76e2116ccd2ull,
0x34bdedd3f973aecfull, 0xb042ab0531d680ecull, 0xfc5c3c17770e96a0ull,
0xb8204eceab6f1874ull, 0x416c0ced5843f3a5ull, 0x9578018311dd112full,
0x7e0e8613b1c74bd8ull, 0xa79ffc1096c6453bull, 0xfcd6da0ab2157651ull,
0x3dd0ccac836a34a7ull, 0x496049ed316e5a36ull, 0xdea1a97d0322bcb2ull,
0x39578d53cdf2aa5aull, 0x030565c91d1aa931ull, 0x324e0a27d198cbedull,
0x284325345db83e8aull, 0x5cb134c090bf23e8ull, 0x009e5051dd0adab6ull,
0x7e36a6d7f8ad61daull, 0xbdffe6aa84c75e57ull, 0x138d680eb5d5532eull,
0x4a5f74a1bd84ddacull, 0x55538cfaccff00d1ull, 0x48528011b0948b8cull,
0x9e047ad7e345f82eull, 0xea77bef06ee770ffull, 0x2f1625670fc13669ull,
0x0614686c869426acull, 0x4263ed823a3ff464ull, 0x57205a7ab3589b47ull,
0xae6fc46b213f24adull, 0xd92b133f3de03e4eull, 0x1b49c24a315a589bull,
0x1641c13873381bcbull, 0xbc680ada7bc99425ull, 0x962e9884a5cfbc9aull,
0xfc8d12f60a960d70ull, 0x60acc868ed18ef4cull, 0x131130369aea5d14ull,
0x2d99a5b0c747c87eull, 0x006b36583a369bb3ull, 0xe43fa6e6118a5135ull,
0xa13dc05eb4947190ull, 0x0dbd7170d7733db8ull, 0x117ed7e7c3fb67d1ull,
0xc05fe99ee2d72a49ull, 0xd971a25b9638db40ull, 0x1a1595594239d468ull,
0xc1117392850a223cull, 0x567b5fc022d2dbd8ull, 0xc051007a92c5b4ebull,
0xfb35572011cc0099ull, 0x398481616907810dull, 0x61d19ef25e8534f4ull,
0x8a0ab03c2ee8c466ull, 0x879aa514c234af76ull, 0x59e5da579774a235ull,
0xf339bd5a9bc466b3ull, 0xbbb5fd6744ab026dull, 0x3685c9f22b977202ull,
0x7054359e03e5dc00ull, 0x9ba11f085239cfb0ull, 0x9c258687f8237562ull,
0x52c7bf8fa3b510ddull, 0x3245e079b31ed0cfull, 0xbaee38c7ff9ff8d3ull,
0xf702b3b9f17d5562ull, 0xcbca275dcc4c8563ull, 0xe817dbace005d9d1ull,
0x62cee35005c6920aull, 0x19e049b90f1deac0ull, 0xb2a27a1659599f74ull,
0x7dcef00df0911d5aull, 0x375522513603dd66ull, 0x5fa022da97813735ull,
0xefbe57c20d849416ull, 0x5761929630a0e592ull, 0x11735043c953cc47ull,
0xc0444be0a83526adull, 0x16ff5136b5f8463cull, 0xf037572c2a0a6631ull,
0xb1bf8daad30464daull, 0x0f3e9e7e7f5718f7ull, 0xc26f2624e5a4cfe7ull,
0xdfe8f4858c9b5ae4ull, 0xc64a1509f6fa82e3ull, 0x3024b220acb24aeaull,
0xddcdfeddddb02ac0ull, 0x384c86c3d834c574ull, 0xdd48a571d904e099ull,
0x77b35c744550a05full, 0xaaebdc6d81e85f71ull, 0xd4cdc0540f9bb0b1ull,
0x845786af7af4df85ull, 0xdf2a91cae5e53887ull, 0x5689a3c4f6a58211ull,
0xa705983a8cf6aa15ull, 0x2ce7fef09fbf2f52ull, 0x4a3b536548e84a62ull,
0xd48a0872f8281a47ull, 0xf0929c3e8423dcf6ull, 0xe9ec071b044a5049ull,
0x20e30c1b17decc36ull, 0x3342196a45fc2813ull, 0x6601e33746afb7f9ull,
0xf18094d130754439ull, 0x61410dd1d38b4112ull, 0xd97d4dd8d8796b36ull,
0x8080519147e9bc0bull, 0xcde438c11584e2daull, 0x409659a1955d24f1ull,
0x5a09635f1b0950b1ull, 0x615472b965b1febeull, 0x6308e067525dc00aull,
0xd4e705a44089e2d4ull, 0x32c18b2643fc9209ull, 0xaf2711534447a5faull,
0x4dc4f0d23617cadcull, 0x6aa116ef692eb386ull, 0x0641dc0b655991bcull,
0xc655966454469597ull, 0x4bdc0d1a749c0fe8ull, 0xc5292a61a7d3381eull,
0x42474cc24eb65fdcull, 0x19dfc9eef2c6b173ull, 0xbece2ee30a19a199ull,
0xaa03aa7cc68b778dull, 0xae54d2bec8db86f0ull, 0xdee3f48fb92a01e0ull,
0xf6ae28526023c0a9ull, 0xa441cb9ea233763bull, 0x3a8bb4b73246ddddull,
0x308ef2c844faa3c3ull, 0xd2862534fd1c8516ull, 0x62336f6f3b25ebe7ull,
0x0b8e2ce60c336a45ull, 0x11eea1f2e867f171ull, 0x68df4903523972ecull,
0x51ef4cb750c05824ull, 0x3ffae115cb4df2a8ull, 0x3ed1635fb51aca2full,
0x0a5ac09fd6ff1cc6ull, 0x0a3dc76fde8ed9d6ull, 0x37991dde5dc2d8ddull,
0x80ad6e13f95bacb2ull, 0xd4f8c7a6163005eeull, 0xa4760f083225d180ull,
0x9b2b1a875fff004dull, 0x5cd00b66e7ea8576ull, 0x285dd80dec478452ull,
0x4301b3a120112439ull, 0xfacbb68cff879fc8ull, 0xb17fdf84af6af6b8ull,
0xf4489576c208d9f1ull, 0xadcc862c8794a6e9ull, 0x931685a40e83e54cull,
0x1e40293bab01c580ull, 0x1f1ddf7fcad784faull, 0xcee722b26b856084ull,
0x74254eb41c39938bull, 0xb9c26d9ac7ccebf4ull, 0x2e3ece246b08dfb9ull,
0xdff60410981455ecull, 0xe06fa38bbc804e2bull, 0x72e53c52b534540cull,
0xb2a5c05a02dfb2efull, 0x973133385002a2a5ull, 0xd61df455597c53ffull,
0x39ac2ec534e5261aull, 0x388b7539c6bc0cabull, 0x00eac7043f732fc0ull,
0xc089971e92fb21d9ull, 0x7af93f8fb4ffa503ull, 0xa8311b2372e353b6ull,
0x1de496ca8266c9afull, 0xd6fa0b51dbdb16b0ull, 0xbd5630899991a5efull,
0x0954a1e3168cbe0full, 0x53d09723537b9245ull, 0x86558cb92867272dull,
0xfac85d100b83f026ull, 0x1e5ddb95f8562951ull, 0x48d27b92ad3668c8ull,
0x19b58a99c930b7e6ull, 0xa9cda917a3de74e3ull, 0x7a4dd16ecb6e35eeull,
0x4d84073f4c80e9d5ull, 0x9cffcfc074a95ba8ull, 0x15796372d28485ebull,
0x77eda8df5717e9cdull, 0xadb965e1ab473c4eull, 0x5bc05659ffad6959ull,
0xfb2402276ed63880ull, 0xd15fdddf2014850bull, 0xb538f37dfdd74592ull,
0x1473396f3a8e2e82ull, 0x3ce41a21f6a5edf8ull, 0x754e82640cc4351aull,
0xc7821b96aab95e73ull, 0xc242faaaf42ff463ull, 0x087e260edd00ac65ull,
0x0dbe032817d193f5ull, 0xf9d10f96844a63c9ull, 0xbaf127ec85aa91ddull,
0xce85e6a50ab6dabbull, 0xe7b56a161af5d24full, 0x57d1d79fcd6c5a19ull,
0xec4dd2f05dfc2b28ull, 0x8d72216a18fe64a1ull, 0x72f14a085f222077ull,
0x3bf038abd8b09b11ull, 0xc4265d7cc6cf1f44ull, 0x46398d2cdab1b0e7ull,
0xb6e705d37dcfdc68ull, 0x362c11834aafd1e6ull, 0xf6ac98b7d8701107ull,
0xd6649424ad114d7eull, 0xddd1c6e4c40ab551ull, 0xc9d284c8a132030full,
0x824069eedb1f662aull, 0xc846b3ad4157904bull, 0x0a248c17d38481caull,
0xe8745febc846831full, 0x00000000000025a8ull,
# define TENS_P14_IDX (TENS_P13_IDX + TENS_P13_SIZE)
# define TENS_P14_SIZE 852
[TENS_P14_IDX] = 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x0000000000000000ull, 0x0000000000000000ull, 0x0000000000000000ull,
0x41b5687d099f0001ull, 0x8c75ee63cbfd1b6eull, 0xd75296ad4b191ceaull,
0x1eb5da9b2394d80aull, 0x5c79fed918a004edull, 0xed67a1b837e3b01cull,
0x2a1a34d578d9a714ull, 0x6b1d35168fbe7f0dull, 0xa7825681e57c43eaull,
0xd3e716e1c81d32e8ull, 0xa6d93d6558860b00ull, 0x0113232f83159c97ull,
0x7321c3a0d6122269ull, 0xca4ca9d3be6a92f3ull, 0xc0e55163d1e276a5ull,
0x7b7a78c1b05915d6ull, 0x62a3df4b0fae0ca4ull, 0x13030d1108abec6full,
0x60dcc8f2d446338aull, 0x25e1f9f65f05d1d5ull, 0x7f8c711304a40beeull,
0x589ff59a88f47ec0ull, 0xea5068a1308c3661ull, 0x06e87dff95fb108full,
0xd4d4abdc1559e741ull, 0xee16907c01e092e4ull, 0xe73aabcb5a7b78e6ull,
0xad372889146bb7e0ull, 0xfd49fc1d4f6b43c5ull, 0xd37392530f29f589ull,
0xe2acfcc2c4745a56ull, 0xedd016cdd75ccbc7ull, 0xef82ccd3ac5a63e0ull,
0x2bdabfc4b352496eull, 0x01b0197f5b3d0401ull, 0x29d9253dade96d3cull,
0x73c56b1b19bebdbaull, 0x1f2b7f1e255e7b25ull, 0x6299c836a56a457eull,
0xa2ca74c65c63cc78ull, 0xee571bea5c85fe93ull, 0x2db5f1d0508e2561ull,
0xa9b87b99b1fde6a9ull, 0xf7260f074fb90a37ull, 0x56ee7e97ff58c5fdull,
0x42e6f9cebab9fa46ull, 0x1b76d26778816f73ull, 0x4566519cfdb2c728ull,
0xb9f6a95fae17dd8dull, 0x67160dea1cd533a1ull, 0xfcd8f8f914534bacull,
0x708b1f0af3f2901dull, 0x9457a1df8829063bull, 0x36bb93358f872aa1ull,
0xd889d109b5672c0eull, 0x933066727ec63a6aull, 0x8239ab6839b6d457ull,
0xbe0d7a1fef2e2506ull, 0x05f655224251b635ull, 0x032868910ef0bd55ull,
0x9815fbac2c42b664ull, 0x814e379c471fd611ull, 0xa4a25bda7dd8349dull,
0x01b9e39d9886b84cull, 0xae31cbc95a7ce1a2ull, 0x83ef8faf86d07f32ull,
0x58470fdfb66b5b76ull, 0x5161888996d59b73ull, 0xfc8e0fc6dc400cf7ull,
0x09a08e56af693670ull, 0x74f682e191737de6ull, 0x7f8ac56d0e03923full,
0x8e05e49a7400cfd4ull, 0x384e11644cebea3cull, 0xb50ae05eb2e43d8cull,
0xa40061230f0b3ed9ull, 0x4e9a193464137137ull, 0xd9621be605404100ull,
0x5c347ebb9329a255ull, 0xe684346b75cbeb1bull, 0xba6a9753840fee55ull,
0x60505b7bf43836f6ull, 0xfd6d475d334a9278ull, 0x267375aa5db94761ull,
0x024f6d63c110e160ull, 0xa99b4c192ec96610ull, 0x338cfd90b915c9f4ull,
0xb9e51a09f02ea846ull, 0xfae31d88ae928fb1ull, 0x8475dd261a3db721ull,
0x7ad4c4075769489dull, 0x34e275c80a49e9f0ull, 0x1d63114a3d075d83ull,
0x6b98e94772a96415ull, 0xd50fdc361d500b5full, 0x87751275141e5085ull,
0x2278809ee7843834ull, 0x947aead2b15c52eeull, 0x5197b744fedb7b02ull,
0x8849d0a664e09ba8ull, 0x11ecb91323beaa85ull, 0x5d9848480f7ed667ull,
0x588290e99f6331eaull, 0x7e09e9e5a24d64d1ull, 0x03a501df32592033ull,
0xbb3df73827c270a6ull, 0x4190833c3c7c5a70ull, 0x80e5d89b7d4bf9f4ull,
0xfaefb663a7fc6194ull, 0xd3b6adcd62e52b49ull, 0x1f2cf73a809646fcull,
0x531e4bfbb765ed4full, 0xaf12d1a692cd05f2ull, 0x38da107422ee30f3ull,
0x1a725608ed6447bbull, 0x7a3c6f54aff222d3ull, 0x7b0e8d12bca79a56ull,
0x6e34d6fb1c4660c5ull, 0xfe9dc99c6f481a9full, 0xd8489ea0f888db82ull,
0xc0dea28184b4c0faull, 0xae30e887977a8583ull, 0x1d4848cb8c1cbcecull,
0xd011b0fc0ee0d137ull, 0x478d7dd494b5fd49ull, 0xacab62ad3d67f2e7ull,
0x1dfc7df50ab4e62aull, 0x870b0e75d22e4553ull, 0x1b73bf6d49b7b001ull,
0xdc9f073712807ffdull, 0xc0e2f2506f3e5852ull, 0x4d96a55a93e62e4aull,
0x83a126dbc1d0e185ull, 0xefbfd043190b917bull, 0x8f25b6ddc7df1669ull,
0x476c17a62062eac9ull, 0x25460383cb60f278ull, 0xda8c05be0e85e996ull,
0x692062346f678a34ull, 0x1947b69af59be929ull, 0x90fd83220ebfa11bull,
0xd699b1ec15c1e9bfull, 0x7001d002b2f0343full, 0xc0778ab5cf76eaaaull,
0xb7b008e25173eda8ull, 0x505d3f4d4e00e4c6ull, 0x1c9d4e1299dd341aull,
0x474c5e954ffb6978ull, 0xda19f9386e9ca6ddull, 0x98dc318ee2dda6e0ull,
0x3f67b836da455e54ull, 0xa97e9a6421e4181cull, 0x527a08bb1e17f655ull,
0x682972ad1712dc21ull, 0xccbeadf10042d256ull, 0x861e99e0ca497b96ull,
0xeeb0f6500d8aa585ull, 0x506af77edcc3c3daull, 0x7c9d60be5deb9768ull,
0x37b37e95e9d978b7ull, 0x42747f7577ad0b94ull, 0x6d5fd2fe07be42c4ull,
0x0d8fc27d4c8c5da9ull, 0x0ccf60230f2fd50full, 0x3b1101bd5b56053full,
0xc0feca2756d34906ull, 0xc4888da47602a150ull, 0x56d10633419abe54ull,
0x8db14123c76120edull, 0x741e8f76b656e675ull, 0x96be6f21d297b94eull,
0x9b409e273662439dull, 0x35fff92a6626574dull, 0x69e02439bf558205ull,
0x6400fd4cbe6838b7ull, 0x1f4b158aa00f64caull, 0x04cca5589e2052aeull,
0x58da644cfb5ee69eull, 0x8ab1940196f26e1full, 0xed8bf908bee1e16bull,
0xd50babab2f2809a4ull, 0x6b0a89296e57f7e6ull, 0xb54a4cfcf7356431ull,
0x6f9fd6cb9a1d0ac4ull, 0x3b42f469836bfbf8ull, 0x40111b6b8bd32129ull,
0xb345d9557c278fb1ull, 0xd32cd13cff1fd188ull, 0x3789f792f7ec3aa0ull,
0x4d79a4bfab707fa4ull, 0xd9c24d8eb3a28cebull, 0x06e2eb3e7134dadcull,
0xb379d811d7c04f76ull, 0x8c94fc332b3b0ebcull, 0xc06c5d01a28b53abull,
0x7fea91cad900432aull, 0x64845f086d30b008ull, 0xfde4687d796f5349ull,
0xe0046c56f888fe67ull, 0xce98cb11ae482177ull, 0x1feb440084590c46ull,
0xff2f16116e1ba29bull, 0x3159ca8cf73f3e9cull, 0x56f0ed4634845918ull,
0xd9a16a01b7d10c32ull, 0x3cee3e24405b9e91ull, 0x2ab396b48739e4a6ull,
0x09835dfd3f1b7871ull, 0x1592b74a8c7a489full, 0x0e8d3f3705df7c81ull,
0x68b29622a61ff273ull, 0x43ff84a6259cd337ull, 0x566ed88381cf8fe9ull,
0x35c7942848427fc6ull, 0xa97e8c8bcfd2fb59ull, 0x32ddca23750aaed8ull,
0x96fbfff9aa8108efull, 0xe3cdf588a1d039aaull, 0xcd6b3fdb47e77e00ull,
0x9a522152e72a9a80ull, 0xef175610eda06283ull, 0x339fe6c4a670cfa1ull,
0xc2d7f53b2dfbf3eeull, 0xcc47e4b092a44e27ull, 0xd64f83c9dfa212bcull,
0xb51319bf997e5475ull, 0x1fc2c7b69fffe599ull, 0x832169ddef5605e7ull,
0xbf921dc8feb6be4eull, 0x72759f8d60bdfb1dull, 0x020eebed3546efa0ull,
0xdb20a2fecaab3d64ull, 0xb2b62bddba1218f6ull, 0x8fde5cfa3101eff0ull,
0xa52114d22e319213ull, 0xdf08b1dd87eead3full, 0x746f34d0a5387642ull,
0x4cc40317d76c4844ull, 0xb7d76071e4f689c9ull, 0x6e1c79155fe0b4a2ull,
0x3efb7d71c7d43f53ull, 0x35a75f5f068dd906ull, 0x750f4607652d7770ull,
0x36c2cf8e64a1656cull, 0x9348ef93214d758bull, 0x9674b7f3e4058978ull,
0xbdfaba8f10570b0bull, 0xa92b261fcef09dd7ull, 0xcbebb81f071c21b6ull,
0x44228cd6f427ed6cull, 0x5036c46065e56fcfull, 0xccfd848bad919defull,
0x7527dca361d158a6ull, 0x508550754cf30459ull, 0x3540f5aaa70dfd09ull,
0xb5ba3d4e35577adbull, 0xcdfb689f35736c4full, 0x97ab0dcaefe8fa82ull,
0x77a7fe9c51bd2ff3ull, 0x3d618b813107846cull, 0xfc5e9651bca797a4ull,
0xf7e8791fe2e08fbcull, 0x7c426f9d772f1cc0ull, 0x0080c3ab08d56f88ull,
0xe6d46ec60deea663ull, 0x6b681d9d7dca4eb7ull, 0x4af0e0f2da06730bull,
0x52097463038bf468ull, 0xbc09bb9aca19d302ull, 0x3ded4433aa55aeb1ull,
0x3e4b7865f27938baull, 0x7ef9631428296be7ull, 0xdf0b6b477a1d55ccull,
0xcedda5bdcde11852ull, 0x72ca1a8bf00a0eb3ull, 0xb002fdcc5241b572ull,
0xc4878862ff8898b3ull, 0xbf4bca29b3e85372ull, 0xf2d831897e1fef45ull,
0x3cdf9e050f5427afull, 0xf65c06ac75bae885ull, 0xa3145eac9c71a700ull,
0x76255bbfde63bab2ull, 0x4c6ad3d06e817be6ull, 0xe95ef2f825ab9935ull,
0xd54f78de11cd095aull, 0xb3829dcba001ae7eull, 0x18eb9c9e5abd18bdull,
0xe3e3556cada3c504ull, 0x5191ac5fd35479aaull, 0xc8d1d9d3221821acull,
0x088c3fc8313a8c51ull, 0xb154abedc146a264ull, 0x349ec09392755bc5ull,
0x41d5886cf94aba57ull, 0x36aba94b0a5ad8b2ull, 0xa9ad229f883a6758ull,
0x0546172f5d64069aull, 0xc3808ea40366da16ull, 0x70f0a2350b172403ull,
0x4fceb827fa816e66ull, 0x167b56d5a65fcfeaull, 0xfec36bcdfe2b9fb2ull,
0xcd96320fa84c4cc9ull, 0x09eda8b83e128584ull, 0x7ec7e17b91eca525ull,
0xc14032f4bc45bedcull, 0x2eb20bc09be689a7ull, 0x14ef835fffdf1efcull,
0xcd778dd8c6966c59ull, 0x23d477155feb0f3bull, 0x5722a550d64b87c8ull,
0x315a1a8b62883198ull, 0x4b7e9d7a648e17e6ull, 0x67caca842ba43d28ull,
0x6e660159741f0398ull, 0x3dde3c453e16e1a9ull, 0xc7eb0aefa53e56aeull,
0x78751d733f39f33eull, 0x626770f745816df8ull, 0x909e87f4cb17d28dull,
0xc1dcf32893a86abaull, 0xd895d0421a1e4ce2ull, 0xbb00eaf5b9f6dd69ull,
0xca609578acc37687ull, 0xf8b86d4c5b490d39ull, 0x39419f6df2737ef0ull,
0x72524a0369267bc0ull, 0xdbc01e936eb060c4ull, 0x83984d54291035b1ull,
0xe08cbc20f673ad85ull, 0x584803a61fb24915ull, 0x4088ddb5e15bbcd7ull,
0x2c18041ad4c22542ull, 0xb2ba69b4a51372d1ull, 0xcd11c2962299283full,
0xac54df2325dcd6f3ull, 0x77e16e1d24a3a55eull, 0xb99d85c0b3cd415bull,
0xe91154e3497befc7ull, 0xb55100aa7365cd8bull, 0xfc0927a60ee699ebull,
0x8acaa910efb374deull, 0xda3f000683b40e3dull, 0xc6ce1b758590a089ull,
0xfda2f7f354f6ff20ull, 0xd0763b6dd2ab58f6ull, 0x2519622d6caf2515ull,
0x9863638fc3714057ull, 0x09ea4a4dea00bb4full, 0x6b01fe5fe69de96dull,
0x529e32ec960161a5ull, 0x01a37eeaf8260ae9ull, 0x5aa0716f69710577ull,
0x4260fedacb3fb1daull, 0x76012f75a33fb790ull, 0x130f09ae24c0e5beull,
0x5c8ecb762e8323dcull, 0x401b5f5c17cb8f12ull, 0x47e1560a5f0a63e0ull,
0xee1377d4dc57a786ull, 0x0aa294b9228e7ee5ull, 0x55b0fe2faea6c534ull,
0xf108b772922d318aull, 0xdfb69702f15bddf6ull, 0x90e1db66cd438a4eull,
0x568ef6cb584ce4a1ull, 0x6da376ba69e55f9dull, 0x45c7e2945ca6c109ull,
0xcf5b6c0cc977b3e9ull, 0x11b487ae1d694499ull, 0xbcb3cc6ecf8339acull,
0x046b107150b828e0ull, 0x2c6159465703ed0dull, 0xa908dbd0720d1610ull,
0x22c076e2742bbe33ull, 0x1d0cefa448966a66ull, 0x601352bf1dde819full,
0xa585cc4ab9370c39ull, 0x5a2f7206eb857f94ull, 0x49cd0f1f3fae6b58ull,
0x1b89d47678e5fb3dull, 0xed82945b74e9e65bull, 0x2941c4d9b74e6483ull,
0x565c18dc7e087accull, 0xbf4ccd3d1a09f2e5ull, 0xa522631dd304e977ull,
0x4517109b6123378eull, 0x4bf1a506b7e4285aull, 0x683172f8625803c2ull,
0x3f8a2b11c84e7354ull, 0xed4204917dd12b89ull, 0x9853fb978c698b0bull,
0xb697e1c99631777bull, 0x510381105f028f05ull, 0x30e255e39055f055ull,
0xb990321ee2d0c1b6ull, 0xff4dc144a8fdf4d1ull, 0x148999e0521a3056ull,
0xa9c96852a8111c66ull, 0x4b394a948157f508ull, 0x94ec2e93a0dc4df1ull,
0x8fc283776e6afa56ull, 0xc435186ff72ffa04ull, 0x8d037f6ff91488b7ull,
0x48757727a899ec1eull, 0xb8cf377d4101b612ull, 0xb4570569a5a54e68ull,
0x063d9cfd2ac5a0a0ull, 0xf1a5884c7c504c74ull, 0x8d0b91bf0a9b1955ull,
0x79ff5361e5f6862full, 0xc6fd31fb0ed3d38full, 0x85b9c6489fe131c7ull,
0x8e77e86b8febf2b4ull, 0x56429986992ba80eull, 0x608cdda56848879aull,
0x754b300e3e0d106eull, 0xafd5195b25200576ull, 0xe81f09395d37aad9ull,
0xdeeea20ae00a390eull, 0xb5d51155f5fef0beull, 0x9e72ebcf6e27d173ull,
0xb966f7bab776e978ull, 0x726c840809520238ull, 0x65dce5a23347ebc5ull,
0x8c92d7403ec78337ull, 0x32caec933cdde3feull, 0x411be811d20379aeull,
0x72fa1bbd41756580ull, 0x84c42f04a92125b3ull, 0x3a25922cdd4ee5feull,
0x49ad3be096446853ull, 0x1c841afe2880366dull, 0xfb905fe1f1e09019ull,
0x3ba9d0c9a451ad59ull, 0xa42419f256db2e9cull, 0x3c9a3ca5e921e7a0ull,
0xcec7d091ad8ea375ull, 0x477ef58f99bdb940ull, 0xb2598b8d8a4933c7ull,
0xcfac1e1cf5659df7ull, 0xe2a04aab339f8748ull, 0x45bc6f37e122b03full,
0x9c75aaa0c9feeb30ull, 0x0ea0585dc13c174eull, 0x3a96bd5adc58bbb4ull,
0x3c7a714d20251482ull, 0x6cb83b6b696897ebull, 0x3b496b5fa37de406ull,
0x380dd38237e75d6aull, 0xda26fac90e1a513cull, 0x12b5c6eaf2458364ull,
0x1ff1fcbf79ce9e47ull, 0x59a6a7babe7c6e86ull, 0x947614538d70f515ull,
0x8768ffb26b04e425ull, 0x3f9e84071ca5f425ull, 0x5f8f67563b641184ull,
0x56bc212062b1a5a5ull, 0x17f2fa18d1e5da68ull, 0xa1bc9c068cce5e2dull,
0x892df1af8e290fb1ull, 0xb43e5517ad10b8c8ull, 0x4407c38fd0597409ull,
0xfea9c9b64a020d81ull, 0xd5b2aaf9d8e0e7d6ull, 0xda44ed4ade5e9b40ull,
0x87aa3ca045d6bf41ull, 0x4708acc8c62d12fcull, 0x0d1227ff10212e26ull,
0x5da02550feeb5742ull, 0x1d56e5e1d66668e7ull, 0xae1e0bef32c215ecull,
0x58c0e9227f048b7eull, 0x58251aac2aea8619ull, 0xa1fea536bbe10425ull,
0xd233eb7d2e1d9667ull, 0xb0693c67cf435c0bull, 0x903ec9f061d918eaull,
0x0efb1788d6c4e8acull, 0x1709d878b0098f5bull, 0x3f6ce1b73c12b35eull,
0x8a8f7dbba1b3ff54ull, 0x73e8563e37608d6aull, 0x64e00749a3330540ull,
0x8d5caaf9ebbfcab9ull, 0xedb2bd943bc87c7eull, 0xe656dec322f8f62dull,
0x670c1626c5683222ull, 0x4237542f94089e7full, 0x2fc4e53047d29440ull,
0x8b288dac8419441eull, 0xa7afb4e97f9245f9ull, 0x082adef78a15650dull,
0x043c62de3104ef19ull, 0x7ecd06350aff3dc5ull, 0xe0600fade7e80a8bull,
0x81ebf4e04d8e81ccull, 0x7b372af7f587e30full, 0xdee11c6f2d8f8ca0ull,
0xf8adc426d3624b1cull, 0x5c22de4fca9debedull, 0xfae3186b3634f778ull,
0xd7bfa75facf8b595ull, 0xbbfe3cf6003cd316ull, 0xc51055a1b023cb50ull,
0x93869a770063cffdull, 0xfbceeb1051e022d4ull, 0x109defc95187457eull,
0xe13cfde2673892d8ull, 0xc09c8134d4aa3272ull, 0x0327181bbf89ad5bull,
0xaa21b63209511ec7ull, 0xe41885b5d7e72186ull, 0x493d278946713f9cull,
0xd5d22a5c1386c526ull, 0xcf59281ccefddfc4ull, 0x4ebe43f692973ea6ull,
0x6cf4897deac5c6adull, 0x82ce562ad95082a0ull, 0x28d8f0db28e5e9bdull,
0x707b0166ddf06e81ull, 0xfbf5756a7dae3f00ull, 0x4f114102035a4680ull,
0x5190fedfe7ba4b33ull, 0xe5f1bc49106a7594ull, 0xd7a1a766aae3ad67ull,
0x9120a214040ee971ull, 0x1edc87eaf415b374ull, 0xc6ad637d17aab43cull,
0xd90303c7885858c1ull, 0x3ff4eb0ebfd4b70bull, 0xd81eea30344a9a88ull,
0x5adef0ec95925446ull, 0x20bbd8c3abb5f5e7ull, 0xe6944262c1c22cceull,
0x80024021c5acdb23ull, 0x94b30c812232c635ull, 0x78569acd55f07648ull,
0x4dd6b5289696ea39ull, 0xde5853b31c3e1b40ull, 0x6eb5a7d88a2c3679ull,
0x8f9cf09656bda89aull, 0x6481c7e7fda86d5bull, 0x15bfb45d50a6a7d5ull,
0xc057d45d4f9a5381ull, 0xa0009f004fb10024ull, 0xac420f745e1ca0ddull,
0xf0d4a615cfbb38bdull, 0x0e3aef8419bf0318ull, 0x166c1e3ecb3d7b20ull,
0x3bfacf9f58272fddull, 0x63a13528c0f5ce46ull, 0xa020ca8cea59e333ull,
0x3dbb5a3daadd116bull, 0x747f55eae5523f47ull, 0x64d520fb0922171eull,
0x07ce951b6c709e84ull, 0x7508eb6d35fdc402ull, 0xb0d11c39c495a8faull,
0x57447ef081313d65ull, 0xf72301f3a7b61e26ull, 0x45a3a7c5bb096315ull,
0x00432f88a903a44bull, 0xeb4e1b6619081987ull, 0x6d245171bb7b66bdull,
0x0d89bd0bde4182f5ull, 0xf70d8a6087f4de6cull, 0x08a274499a87855bull,
0xd49640174ac7720aull, 0x4db3488cb0d9ddacull, 0xd07b745bfe397d44ull,
0x6e9d567d197dcb7bull, 0x9143fef1e3b90812ull, 0x115ff96db9e002acull,
0x5b61c9c8f60a2201ull, 0xb14a44a709abab2full, 0x843c79970ca19c73ull,
0x5e3fc18ce3a9bbe6ull, 0x764df59d0c0404eeull, 0x4ad0ba3c990ec2c2ull,
0xe599647d05e8be0full, 0x4d0c2990c19d365dull, 0xb680a72de5a9d9acull,
0x6d6c02674ce2e5ddull, 0xbd6078e006f9c25bull, 0xd742fa41b5fcdc81ull,
0xc691adc0cccc2399ull, 0xea73b0c3215ad82cull, 0xf499e0a6a511e5b0ull,
0xd94440a253e27ab0ull, 0x9a6e364447752521ull, 0x8f8b301dab113708ull,
0x00000000058a42a3ull,
#endif #endif
}; };
@ -437,7 +1307,7 @@ const mp_limb_t __tens[] =
/* Each of array variable above defines one mpn integer which is a power of 10. /* Each of array variable above defines one mpn integer which is a power of 10.
This table points to those variables, indexed by the exponent. */ This table points to those variables, indexed by the exponent. */
const struct mp_power _fpioconst_pow10[LDBL_MAX_10_EXP_LOG + 1] = const struct mp_power _fpioconst_pow10[FPIOCONST_POW10_ARRAY_SIZE] =
{ {
{ TENS_P0_IDX, TENS_P0_SIZE, 4, }, { TENS_P0_IDX, TENS_P0_SIZE, 4, },
{ TENS_P1_IDX, TENS_P1_SIZE, 7, 4 }, { TENS_P1_IDX, TENS_P1_SIZE, 7, 4 },
@ -448,14 +1318,12 @@ const struct mp_power _fpioconst_pow10[LDBL_MAX_10_EXP_LOG + 1] =
{ TENS_P6_IDX, TENS_P6_SIZE, 213, 210 }, { TENS_P6_IDX, TENS_P6_SIZE, 213, 210 },
{ TENS_P7_IDX, TENS_P7_SIZE, 426, 422 }, { TENS_P7_IDX, TENS_P7_SIZE, 426, 422 },
{ TENS_P8_IDX, TENS_P8_SIZE, 851, 848 }, { TENS_P8_IDX, TENS_P8_SIZE, 851, 848 },
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
{ TENS_P9_IDX, TENS_P9_SIZE, 1701, 1698 }, { TENS_P9_IDX, TENS_P9_SIZE, 1701, 1698 },
{ TENS_P10_IDX, TENS_P10_SIZE, 3402, 3399 }, { TENS_P10_IDX, TENS_P10_SIZE, 3402, 3399 },
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
{ TENS_P11_IDX, TENS_P11_SIZE, 6804, 6800 }, { TENS_P11_IDX, TENS_P11_SIZE, 6804, 6800 },
{ TENS_P12_IDX, TENS_P12_SIZE, 13607, 13604 } { TENS_P12_IDX, TENS_P12_SIZE, 13607, 13604 },
{ TENS_P13_IDX, TENS_P13_SIZE, 27214, 27210 },
{ TENS_P14_IDX, TENS_P14_SIZE, 54427, 54424 },
#endif #endif
}; };
#if LAST_POW10 > _LAST_POW10
# error "Need to expand 10^(2^i) table for i up to" LAST_POW10
#endif

12
stdlib/fpioconst.h
View File

@ -1,6 +1,5 @@
/* Header file for constants used in floating point <-> decimal conversions. /* Header file for constants used in floating point <-> decimal conversions.
Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003 Copyright (C) 1995-2012 Free Software Foundation, Inc.
Free Software Foundation, Inc.
This file is part of the GNU C Library. This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or The GNU C Library is free software; you can redistribute it and/or
@ -41,6 +40,13 @@
#define DBL_MAX_10_EXP_LOG 8 /* = floor(log_2(DBL_MAX_10_EXP)) */ #define DBL_MAX_10_EXP_LOG 8 /* = floor(log_2(DBL_MAX_10_EXP)) */
#define FLT_MAX_10_EXP_LOG 5 /* = floor(log_2(FLT_MAX_10_EXP)) */ #define FLT_MAX_10_EXP_LOG 5 /* = floor(log_2(FLT_MAX_10_EXP)) */
/* For strtold, we need powers of 10 up to floor (log_2 (LDBL_MANT_DIG
- LDBL_MIN_EXP + 2)). */
#if !defined __NO_LONG_DOUBLE_MATH && __LDBL_MAX_EXP__ > 1024
# define FPIOCONST_POW10_ARRAY_SIZE 15
#else
# define FPIOCONST_POW10_ARRAY_SIZE 11
#endif
/* The array with the number representation. */ /* The array with the number representation. */
extern const mp_limb_t __tens[] attribute_hidden; extern const mp_limb_t __tens[] attribute_hidden;
@ -54,7 +60,7 @@ struct mp_power
int p_expo; /* Exponent of the number 10^(2^i). */ int p_expo; /* Exponent of the number 10^(2^i). */
int m_expo; /* Exponent of the number 10^-(2^i-1). */ int m_expo; /* Exponent of the number 10^-(2^i-1). */
}; };
extern const struct mp_power _fpioconst_pow10[LDBL_MAX_10_EXP_LOG + 1] extern const struct mp_power _fpioconst_pow10[FPIOCONST_POW10_ARRAY_SIZE]
attribute_hidden; attribute_hidden;
/* The constants in the array `_fpioconst_pow10' have an offset. */ /* The constants in the array `_fpioconst_pow10' have an offset. */

107
stdlib/gen-fpioconst.c Normal file
View File

@ -0,0 +1,107 @@
/* Generate data for fpioconst.c.
Copyright (C) 2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include <inttypes.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <gmp.h>
int
main (void)
{
FILE *out32 = fopen ("fpioconst-32", "w");
if (out32 == NULL)
abort ();
FILE *out64 = fopen ("fpioconst-64", "w");
if (out64 == NULL)
abort ();
FILE *outtable = fopen ("fpioconst-table", "w");
if (outtable == NULL)
abort ();
mpz_t p;
mpz_init (p);
for (int i = 0; i <= 14; i++)
{
int j = 1 << i;
mpz_ui_pow_ui (p, 10, j - 1);
int exp_m = mpz_sizeinbase (p, 2);
mpz_ui_pow_ui (p, 10, j);
int exp_p = mpz_sizeinbase (p, 2);
int size32 = 2 + (exp_p + 31) / 32;
int size64 = 1 + (exp_p + 63) / 64;
uint32_t data32[size32];
uint64_t data64[size64];
memset (data32, 0, sizeof data32);
memset (data64, 0, sizeof data64);
mpz_export (data32 + 2, NULL, -1, 4, 0, 0, p);
mpz_export (data64 + 1, NULL, -1, 8, 0, 0, p);
if (i == 0)
{
fprintf (out32, "#define TENS_P%d_IDX\t0\n", i);
fprintf (out64, "#define TENS_P%d_IDX\t0\n", i);
}
else
{
fprintf (out32, "#define TENS_P%d_IDX\t"
"(TENS_P%d_IDX + TENS_P%d_SIZE)\n",
i, i - 1, i - 1);
fprintf (out64, "#define TENS_P%d_IDX\t"
"(TENS_P%d_IDX + TENS_P%d_SIZE)\n",
i, i - 1, i - 1);
}
fprintf (out32, "#define TENS_P%d_SIZE\t%d\n", i, size32);
fprintf (out64, "#define TENS_P%d_SIZE\t%d\n", i, size64);
for (int k = 0; k < size32; k++)
{
if (k == 0)
fprintf (out32, " [TENS_P%d_IDX] = ", i);
else if (k % 6 == 5)
fprintf (out32, "\n ");
else
fprintf (out32, " ");
fprintf (out32, "0x%08"PRIx32",", data32[k]);
}
for (int k = 0; k < size64; k++)
{
if (k == 0)
fprintf (out64, " [TENS_P%d_IDX] = ", i);
else if (k % 3 == 2)
fprintf (out64, "\n ");
else
fprintf (out64, " ");
fprintf (out64, "0x%016"PRIx64"ull,", data64[k]);
}
fprintf (out32, "\n\n");
fprintf (out64, "\n\n");
const char *t = (i >= 10 ? "\t" : "\t\t");
if (i == 0)
fprintf (outtable, " { TENS_P%d_IDX, TENS_P%d_SIZE,%s%d,\t },\n",
i, i, t, exp_p);
else
fprintf (outtable, " { TENS_P%d_IDX, TENS_P%d_SIZE,%s%d,\t%5d },\n",
i, i, t, exp_p, exp_m);
}
if (fclose (out32) != 0)
abort ();
if (fclose (out64) != 0)
abort ();
if (fclose (outtable) != 0)
abort ();
return 0;
}

131
stdlib/gen-tst-strtod-round.c Normal file
View File

@ -0,0 +1,131 @@
/* Generate table of tests in tst-strtod-round.c from
tst-strtod-round-data.
Copyright (C) 2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define _GNU_SOURCE
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <mpfr.h>
/* Work around incorrect ternary value from mpfr_strtofr
<https://sympa.inria.fr/sympa/arc/mpfr/2012-08/msg00005.html>. */
#define WORKAROUND
static int
string_to_fp (mpfr_t f, const char *s, mpfr_rnd_t rnd)
{
#ifdef WORKAROUND
mpfr_t f2;
mpfr_init2 (f2, 100000);
int r0 = mpfr_strtofr (f2, s, NULL, 0, rnd);
int r = mpfr_set (f, f2, rnd);
mpfr_subnormalize (f, r, rnd);
mpfr_clear (f2);
return r0 | r;
#else
int r = mpfr_strtofr (f, s, NULL, 0, rnd);
mpfr_subnormalize (f, r, rnd);
return r;
#endif
}
static void
print_fp (mpfr_t f, const char *suffix, const char *suffix2)
{
if (mpfr_inf_p (f))
mpfr_printf ("\t%sINFINITY%s", mpfr_signbit (f) ? "-" : "", suffix2);
else
mpfr_printf ("\t%Ra%s%s", f, suffix, suffix2);
}
static void
round_str (const char *s, const char *suffix,
int prec, int emin, int emax, bool need_exact)
{
mpfr_t f;
mpfr_set_default_prec (prec);
mpfr_set_emin (emin);
mpfr_set_emax (emax);
mpfr_init (f);
int r = string_to_fp (f, s, MPFR_RNDD);
if (need_exact)
mpfr_printf ("\t%s,\n", r ? "false" : "true");
print_fp (f, suffix, ",\n");
string_to_fp (f, s, MPFR_RNDN);
print_fp (f, suffix, ",\n");
string_to_fp (f, s, MPFR_RNDZ);
print_fp (f, suffix, ",\n");
string_to_fp (f, s, MPFR_RNDU);
print_fp (f, suffix, "");
mpfr_clear (f);
}
static void
round_for_all (const char *s)
{
static const struct fmt {
const char *suffix;
int prec;
int emin;
int emax;
bool need_exact;
} formats[6] = {
{ "f", 24, -148, 128, false },
{ "", 53, -1073, 1024, false },
{ "L", 53, -1073, 1024, false },
{ "L", 64, -16444, 16384, false },
{ "L", 106, -1073, 1024, true },
{ "L", 113, -16493, 16384, false },
};
mpfr_printf (" TEST (\"");
const char *p;
for (p = s; *p; p++)
{
putchar (*p);
if ((p - s) % 60 == 59 && p[1])
mpfr_printf ("\"\n\t\"");
}
mpfr_printf ("\",\n");
int i;
for (i = 0; i < 6; i++)
{
round_str (s, formats[i].suffix, formats[i].prec,
formats[i].emin, formats[i].emax, formats[i].need_exact);
if (i < 5)
mpfr_printf (",\n");
}
mpfr_printf ("),\n");
}
int
main (void)
{
char *p = NULL;
size_t len;
ssize_t nbytes;
while ((nbytes = getline (&p, &len, stdin)) != -1)
{
if (p[nbytes - 1] == '\n')
p[nbytes - 1] = 0;
round_for_all (p);
free (p);
p = NULL;
}
return 0;
}

68
stdlib/strtod_l.c
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@ -153,17 +153,18 @@ extern const mp_limb_t _tens_in_limb[MAX_DIG_PER_LIMB + 1];
#endif #endif
#define SWAP(x, y) ({ typeof(x) _tmp = x; x = y; y = _tmp; }) #define SWAP(x, y) ({ typeof(x) _tmp = x; x = y; y = _tmp; })
#define NDIG (MAX_10_EXP - MIN_10_EXP + 2 * MANT_DIG)
#define HEXNDIG ((MAX_EXP - MIN_EXP + 7) / 8 + 2 * MANT_DIG)
#define RETURN_LIMB_SIZE howmany (MANT_DIG, BITS_PER_MP_LIMB) #define RETURN_LIMB_SIZE howmany (MANT_DIG, BITS_PER_MP_LIMB)
#define RETURN(val,end) \ #define RETURN(val,end) \
do { if (endptr != NULL) *endptr = (STRING_TYPE *) (end); \ do { if (endptr != NULL) *endptr = (STRING_TYPE *) (end); \
return val; } while (0) return val; } while (0)
/* Maximum size necessary for mpn integers to hold floating point numbers. */ /* Maximum size necessary for mpn integers to hold floating point
#define MPNSIZE (howmany (MAX_EXP + 2 * MANT_DIG, BITS_PER_MP_LIMB) \ numbers. The largest number we need to hold is 10^n where 2^-n is
+ 2) 1/4 ulp of the smallest representable value (that is, n = MANT_DIG
- MIN_EXP + 2). Approximate using 10^3 < 2^10. */
#define MPNSIZE (howmany (1 + ((MANT_DIG - MIN_EXP + 2) * 10) / 3, \
BITS_PER_MP_LIMB) + 2)
/* Declare an mpn integer variable that big. */ /* Declare an mpn integer variable that big. */
#define MPN_VAR(name) mp_limb_t name[MPNSIZE]; mp_size_t name##size #define MPN_VAR(name) mp_limb_t name[MPNSIZE]; mp_size_t name##size
/* Copy an mpn integer value. */ /* Copy an mpn integer value. */
@ -1281,23 +1282,60 @@ ____STRTOF_INTERNAL (nptr, endptr, group, loc)
int expbit; int expbit;
int neg_exp; int neg_exp;
int more_bits; int more_bits;
int need_frac_digits;
mp_limb_t cy; mp_limb_t cy;
mp_limb_t *psrc = den; mp_limb_t *psrc = den;
mp_limb_t *pdest = num; mp_limb_t *pdest = num;
const struct mp_power *ttab = &_fpioconst_pow10[0]; const struct mp_power *ttab = &_fpioconst_pow10[0];
assert (dig_no > int_no && exponent <= 0); assert (dig_no > int_no
&& exponent <= 0
&& exponent >= MIN_10_EXP - (DIG + 1));
/* We need to compute MANT_DIG - BITS fractional bits that lie
/* For the fractional part we need not process too many digits. One within the mantissa of the result, the following bit for
decimal digits gives us log_2(10) ~ 3.32 bits. If we now compute rounding, and to know whether any subsequent bit is 0.
ceil(BITS / 3) =: N Computing a bit with value 2^-n means looking at n digits after
digits we should have enough bits for the result. The remaining the decimal point. */
decimal digits give us the information that more bits are following. if (bits > 0)
This can be used while rounding. (Two added as a safety margin.) */
if ((intmax_t) dig_no > (intmax_t) int_no + (MANT_DIG - bits + 2) / 3 + 2)
{ {
dig_no = int_no + (MANT_DIG - bits + 2) / 3 + 2; /* The bits required are those immediately after the point. */
assert (int_no > 0 && exponent == 0);
need_frac_digits = 1 + MANT_DIG - bits;
}
else
{
/* The number is in the form .123eEXPONENT. */
assert (int_no == 0 && *startp != L_('0'));
/* The number is at least 10^(EXPONENT-1), and 10^3 <
2^10. */
int neg_exp_2 = ((1 - exponent) * 10) / 3 + 1;
/* The number is at least 2^-NEG_EXP_2. We need up to
MANT_DIG bits following that bit. */
need_frac_digits = neg_exp_2 + MANT_DIG;
/* However, we never need bits beyond 1/4 ulp of the smallest
representable value. (That 1/4 ulp bit is only needed to
determine tinyness on machines where tinyness is determined
after rounding.) */
if (need_frac_digits > MANT_DIG - MIN_EXP + 2)
need_frac_digits = MANT_DIG - MIN_EXP + 2;
/* At this point, NEED_FRAC_DIGITS is the total number of
digits needed after the point, but some of those may be
leading 0s. */
need_frac_digits += exponent;
/* Any cases underflowing enough that none of the fractional
digits are needed should have been caught earlier (such
cases are on the order of 10^-n or smaller where 2^-n is
the least subnormal). */
assert (need_frac_digits > 0);
}
if (need_frac_digits > (intmax_t) dig_no - (intmax_t) int_no)
need_frac_digits = (intmax_t) dig_no - (intmax_t) int_no;
if ((intmax_t) dig_no > (intmax_t) int_no + need_frac_digits)
{
dig_no = int_no + need_frac_digits;
more_bits = 1; more_bits = 1;
} }
else else

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