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jeremybenn |
/* Copyright (C) 2007, 2009 Free Software Foundation, Inc.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 3, or (at your option) any later
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version.
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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#include "bid_internal.h"
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UINT64 round_const_table[][19] = {
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{ // RN
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0ull, // 0 extra digits
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5ull, // 1 extra digits
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50ull, // 2 extra digits
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500ull, // 3 extra digits
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5000ull, // 4 extra digits
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50000ull, // 5 extra digits
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500000ull, // 6 extra digits
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5000000ull, // 7 extra digits
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50000000ull, // 8 extra digits
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500000000ull, // 9 extra digits
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5000000000ull, // 10 extra digits
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50000000000ull, // 11 extra digits
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500000000000ull, // 12 extra digits
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5000000000000ull, // 13 extra digits
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50000000000000ull, // 14 extra digits
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500000000000000ull, // 15 extra digits
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5000000000000000ull, // 16 extra digits
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50000000000000000ull, // 17 extra digits
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500000000000000000ull // 18 extra digits
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}
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,
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{ // RD
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0ull, // 0 extra digits
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0ull, // 1 extra digits
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0ull, // 2 extra digits
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00ull, // 3 extra digits
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000ull, // 4 extra digits
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0000ull, // 5 extra digits
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00000ull, // 6 extra digits
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000000ull, // 7 extra digits
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0000000ull, // 8 extra digits
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00000000ull, // 9 extra digits
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000000000ull, // 10 extra digits
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0000000000ull, // 11 extra digits
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00000000000ull, // 12 extra digits
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000000000000ull, // 13 extra digits
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0000000000000ull, // 14 extra digits
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00000000000000ull, // 15 extra digits
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000000000000000ull, // 16 extra digits
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0000000000000000ull, // 17 extra digits
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00000000000000000ull // 18 extra digits
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}
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,
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{ // round to Inf
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0ull, // 0 extra digits
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9ull, // 1 extra digits
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99ull, // 2 extra digits
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999ull, // 3 extra digits
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9999ull, // 4 extra digits
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99999ull, // 5 extra digits
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999999ull, // 6 extra digits
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9999999ull, // 7 extra digits
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99999999ull, // 8 extra digits
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999999999ull, // 9 extra digits
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9999999999ull, // 10 extra digits
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99999999999ull, // 11 extra digits
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999999999999ull, // 12 extra digits
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9999999999999ull, // 13 extra digits
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99999999999999ull, // 14 extra digits
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999999999999999ull, // 15 extra digits
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9999999999999999ull, // 16 extra digits
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99999999999999999ull, // 17 extra digits
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999999999999999999ull // 18 extra digits
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}
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,
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{ // RZ
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0ull, // 0 extra digits
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0ull, // 1 extra digits
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0ull, // 2 extra digits
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00ull, // 3 extra digits
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000ull, // 4 extra digits
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0000ull, // 5 extra digits
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00000ull, // 6 extra digits
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000000ull, // 7 extra digits
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0000000ull, // 8 extra digits
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00000000ull, // 9 extra digits
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000000000ull, // 10 extra digits
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0000000000ull, // 11 extra digits
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00000000000ull, // 12 extra digits
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000000000000ull, // 13 extra digits
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0000000000000ull, // 14 extra digits
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00000000000000ull, // 15 extra digits
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000000000000000ull, // 16 extra digits
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0000000000000000ull, // 17 extra digits
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00000000000000000ull // 18 extra digits
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}
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,
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{ // round ties away from 0
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0ull, // 0 extra digits
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5ull, // 1 extra digits
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50ull, // 2 extra digits
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500ull, // 3 extra digits
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5000ull, // 4 extra digits
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50000ull, // 5 extra digits
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500000ull, // 6 extra digits
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5000000ull, // 7 extra digits
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50000000ull, // 8 extra digits
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500000000ull, // 9 extra digits
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5000000000ull, // 10 extra digits
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50000000000ull, // 11 extra digits
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500000000000ull, // 12 extra digits
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5000000000000ull, // 13 extra digits
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50000000000000ull, // 14 extra digits
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500000000000000ull, // 15 extra digits
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5000000000000000ull, // 16 extra digits
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50000000000000000ull, // 17 extra digits
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500000000000000000ull // 18 extra digits
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}
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,
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};
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UINT128 round_const_table_128[][36] = {
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{ //RN
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{{0ull, 0ull}
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}
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, // 0 extra digits
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{{5ull, 0ull}
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}
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, // 1 extra digits
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{{50ull, 0ull}
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}
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, // 2 extra digits
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{{500ull, 0ull}
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}
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, // 3 extra digits
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{{5000ull, 0ull}
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}
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, // 4 extra digits
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{{50000ull, 0ull}
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}
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, // 5 extra digits
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{{500000ull, 0ull}
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}
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, // 6 extra digits
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{{5000000ull, 0ull}
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}
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, // 7 extra digits
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{{50000000ull, 0ull}
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}
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, // 8 extra digits
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{{500000000ull, 0ull}
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}
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, // 9 extra digits
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{{5000000000ull, 0ull}
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}
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, // 10 extra digits
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{{50000000000ull, 0ull}
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}
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, // 11 extra digits
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{{500000000000ull, 0ull}
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}
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, // 12 extra digits
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{{5000000000000ull, 0ull}
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}
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, // 13 extra digits
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{{50000000000000ull, 0ull}
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}
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, // 14 extra digits
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{{500000000000000ull, 0ull}
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}
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, // 15 extra digits
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{{5000000000000000ull, 0ull}
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}
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, // 16 extra digits
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{{50000000000000000ull, 0ull}
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}
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, // 17 extra digits
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{{500000000000000000ull, 0ull}
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}
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, // 18 extra digits
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{{5000000000000000000ull, 0ull}
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}
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, // 19 extra digits
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{{0xb5e3af16b1880000ull, 2ull}
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}
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, //20
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{{0x1ae4d6e2ef500000ull, 27ull}
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}
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, //21
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{{0xcf064dd59200000ull, 271ull}
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}
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, //22
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{{0x8163f0a57b400000ull, 2710ull}
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}
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, //23
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{{0xde76676d0800000ull, 27105ull}
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}
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, //24
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{{0x8b0a00a425000000ull, 0x422caull}
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}
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, //25
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{{0x6e64066972000000ull, 0x295be9ull}
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}
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, //26
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{{0x4fe8401e74000000ull, 0x19d971eull}
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}
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, //27
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{{0x1f12813088000000ull, 0x1027e72full}
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}
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, //28
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{{0x36b90be550000000ull, 0xa18f07d7ull}
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}
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, //29
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{{0x233a76f520000000ull, 0x64f964e68ull}
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}
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, //30
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{{0x6048a59340000000ull, 0x3f1bdf1011ull}
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}
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, //31
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{{0xc2d677c080000000ull, 0x27716b6a0adull}
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}
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, //32
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{{0x9c60ad8500000000ull, 0x18a6e32246c9ull}
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}
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, //33
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{{0x1bc6c73200000000ull, 0xf684df56c3e0ull}
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}
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, //34
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{{0x15c3c7f400000000ull, 0x9a130b963a6c1ull}
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}
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| 248 |
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, //35
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}
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| 250 |
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,
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| 251 |
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{ //RD
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| 252 |
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{{0ull, 0ull}
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| 253 |
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}
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, // 0 extra digits
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| 255 |
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{{0ull, 0ull}
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| 256 |
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}
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| 257 |
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, // 1 extra digits
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| 258 |
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{{0ull, 0ull}
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| 259 |
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}
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| 260 |
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, // 2 extra digits
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| 261 |
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{{00ull, 0ull}
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| 262 |
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}
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, // 3 extra digits
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| 264 |
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{{000ull, 0ull}
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| 265 |
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}
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, // 4 extra digits
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| 267 |
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{{0000ull, 0ull}
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| 268 |
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}
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| 269 |
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, // 5 extra digits
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| 270 |
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{{00000ull, 0ull}
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| 271 |
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}
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| 272 |
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, // 6 extra digits
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| 273 |
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{{000000ull, 0ull}
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| 274 |
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}
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| 275 |
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, // 7 extra digits
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| 276 |
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{{0000000ull, 0ull}
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| 277 |
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}
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| 278 |
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, // 8 extra digits
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| 279 |
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{{00000000ull, 0ull}
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| 280 |
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}
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| 281 |
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, // 9 extra digits
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| 282 |
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{{000000000ull, 0ull}
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| 283 |
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}
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| 284 |
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, // 10 extra digits
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| 285 |
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{{0000000000ull, 0ull}
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| 286 |
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}
|
| 287 |
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, // 11 extra digits
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| 288 |
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{{00000000000ull, 0ull}
|
| 289 |
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}
|
| 290 |
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, // 12 extra digits
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| 291 |
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{{000000000000ull, 0ull}
|
| 292 |
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}
|
| 293 |
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, // 13 extra digits
|
| 294 |
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{{0000000000000ull, 0ull}
|
| 295 |
|
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}
|
| 296 |
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, // 14 extra digits
|
| 297 |
|
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{{00000000000000ull, 0ull}
|
| 298 |
|
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}
|
| 299 |
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, // 15 extra digits
|
| 300 |
|
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{{000000000000000ull, 0ull}
|
| 301 |
|
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}
|
| 302 |
|
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, // 16 extra digits
|
| 303 |
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{{0000000000000000ull, 0ull}
|
| 304 |
|
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}
|
| 305 |
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, // 17 extra digits
|
| 306 |
|
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{{00000000000000000ull, 0ull}
|
| 307 |
|
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}
|
| 308 |
|
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, // 18 extra digits
|
| 309 |
|
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{{000000000000000000ull, 0ull}
|
| 310 |
|
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}
|
| 311 |
|
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, // 19 extra digits
|
| 312 |
|
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{{0ull, 0ull}
|
| 313 |
|
|
}
|
| 314 |
|
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, //20
|
| 315 |
|
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{{0ull, 0ull}
|
| 316 |
|
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}
|
| 317 |
|
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, //21
|
| 318 |
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{{0ull, 0ull}
|
| 319 |
|
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}
|
| 320 |
|
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, //22
|
| 321 |
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{{0ull, 0ull}
|
| 322 |
|
|
}
|
| 323 |
|
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, //23
|
| 324 |
|
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{{0ull, 0ull}
|
| 325 |
|
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}
|
| 326 |
|
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, //24
|
| 327 |
|
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{{0ull, 0ull}
|
| 328 |
|
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}
|
| 329 |
|
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, //25
|
| 330 |
|
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{{0ull, 0ull}
|
| 331 |
|
|
}
|
| 332 |
|
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, //26
|
| 333 |
|
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{{0ull, 0ull}
|
| 334 |
|
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}
|
| 335 |
|
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, //27
|
| 336 |
|
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{{0ull, 0ull}
|
| 337 |
|
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}
|
| 338 |
|
|
, //28
|
| 339 |
|
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{{0ull, 0ull}
|
| 340 |
|
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}
|
| 341 |
|
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, //29
|
| 342 |
|
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{{0ull, 0ull}
|
| 343 |
|
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}
|
| 344 |
|
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, //30
|
| 345 |
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{{0ull, 0ull}
|
| 346 |
|
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}
|
| 347 |
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, //31
|
| 348 |
|
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{{0ull, 0ull}
|
| 349 |
|
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}
|
| 350 |
|
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, //32
|
| 351 |
|
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{{0ull, 0ull}
|
| 352 |
|
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}
|
| 353 |
|
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, //33
|
| 354 |
|
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{{0ull, 0ull}
|
| 355 |
|
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}
|
| 356 |
|
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, //34
|
| 357 |
|
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{{0ull, 0ull}
|
| 358 |
|
|
}
|
| 359 |
|
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, //35
|
| 360 |
|
|
}
|
| 361 |
|
|
,
|
| 362 |
|
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{ //RU
|
| 363 |
|
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{{0ull, 0ull}
|
| 364 |
|
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}
|
| 365 |
|
|
, // 0 extra digits
|
| 366 |
|
|
{{9ull, 0ull}
|
| 367 |
|
|
}
|
| 368 |
|
|
, // 1 extra digits
|
| 369 |
|
|
{{99ull, 0ull}
|
| 370 |
|
|
}
|
| 371 |
|
|
, // 2 extra digits
|
| 372 |
|
|
{{999ull, 0ull}
|
| 373 |
|
|
}
|
| 374 |
|
|
, // 3 extra digits
|
| 375 |
|
|
{{9999ull, 0ull}
|
| 376 |
|
|
}
|
| 377 |
|
|
, // 4 extra digits
|
| 378 |
|
|
{{99999ull, 0ull}
|
| 379 |
|
|
}
|
| 380 |
|
|
, // 5 extra digits
|
| 381 |
|
|
{{999999ull, 0ull}
|
| 382 |
|
|
}
|
| 383 |
|
|
, // 6 extra digits
|
| 384 |
|
|
{{9999999ull, 0ull}
|
| 385 |
|
|
}
|
| 386 |
|
|
, // 7 extra digits
|
| 387 |
|
|
{{99999999ull, 0ull}
|
| 388 |
|
|
}
|
| 389 |
|
|
, // 8 extra digits
|
| 390 |
|
|
{{999999999ull, 0ull}
|
| 391 |
|
|
}
|
| 392 |
|
|
, // 9 extra digits
|
| 393 |
|
|
{{9999999999ull, 0ull}
|
| 394 |
|
|
}
|
| 395 |
|
|
, // 10 extra digits
|
| 396 |
|
|
{{99999999999ull, 0ull}
|
| 397 |
|
|
}
|
| 398 |
|
|
, // 11 extra digits
|
| 399 |
|
|
{{999999999999ull, 0ull}
|
| 400 |
|
|
}
|
| 401 |
|
|
, // 12 extra digits
|
| 402 |
|
|
{{9999999999999ull, 0ull}
|
| 403 |
|
|
}
|
| 404 |
|
|
, // 13 extra digits
|
| 405 |
|
|
{{99999999999999ull, 0ull}
|
| 406 |
|
|
}
|
| 407 |
|
|
, // 14 extra digits
|
| 408 |
|
|
{{999999999999999ull, 0ull}
|
| 409 |
|
|
}
|
| 410 |
|
|
, // 15 extra digits
|
| 411 |
|
|
{{9999999999999999ull, 0ull}
|
| 412 |
|
|
}
|
| 413 |
|
|
, // 16 extra digits
|
| 414 |
|
|
{{99999999999999999ull, 0ull}
|
| 415 |
|
|
}
|
| 416 |
|
|
, // 17 extra digits
|
| 417 |
|
|
{{999999999999999999ull, 0ull}
|
| 418 |
|
|
}
|
| 419 |
|
|
, // 18 extra digits
|
| 420 |
|
|
{{9999999999999999999ull, 0ull}
|
| 421 |
|
|
}
|
| 422 |
|
|
, // 19 extra digits
|
| 423 |
|
|
{{0x6BC75E2D630FFFFFull, 0x5ull}
|
| 424 |
|
|
}
|
| 425 |
|
|
, //20
|
| 426 |
|
|
{{0x35C9ADC5DE9FFFFFull, 0x36ull}
|
| 427 |
|
|
}
|
| 428 |
|
|
, //21
|
| 429 |
|
|
{{0x19E0C9BAB23FFFFFull, 0x21eull}
|
| 430 |
|
|
}
|
| 431 |
|
|
, //22
|
| 432 |
|
|
{{0x2C7E14AF67FFFFFull, 0x152dull}
|
| 433 |
|
|
}
|
| 434 |
|
|
, //23
|
| 435 |
|
|
{{0x1BCECCEDA0FFFFFFull, 0xd3c2ull}
|
| 436 |
|
|
}
|
| 437 |
|
|
, //24
|
| 438 |
|
|
{{0x1614014849FFFFFFull, 0x84595ull}
|
| 439 |
|
|
}
|
| 440 |
|
|
, //25
|
| 441 |
|
|
{{0xDCC80CD2E3FFFFFFull, 0x52b7d2ull}
|
| 442 |
|
|
}
|
| 443 |
|
|
, //26
|
| 444 |
|
|
{{0x9FD0803CE7FFFFFFull, 0x33B2E3Cull}
|
| 445 |
|
|
}
|
| 446 |
|
|
, //27
|
| 447 |
|
|
{{0x3E2502610FFFFFFFull, 0x204FCE5Eull}
|
| 448 |
|
|
}
|
| 449 |
|
|
, //28
|
| 450 |
|
|
{{0x6D7217CA9FFFFFFFull, 0x1431E0FAEull}
|
| 451 |
|
|
}
|
| 452 |
|
|
, //29
|
| 453 |
|
|
{{0x4674EDEA3FFFFFFFull, 0xC9F2C9CD0ull}
|
| 454 |
|
|
}
|
| 455 |
|
|
, //30
|
| 456 |
|
|
{{0xC0914B267FFFFFFFull, 0x7E37BE2022ull}
|
| 457 |
|
|
}
|
| 458 |
|
|
, //31
|
| 459 |
|
|
{{0x85ACEF80FFFFFFFFull, 0x4EE2D6D415Bull}
|
| 460 |
|
|
}
|
| 461 |
|
|
, //32
|
| 462 |
|
|
{{0x38c15b09ffffffffull, 0x314dc6448d93ull}
|
| 463 |
|
|
}
|
| 464 |
|
|
, //33
|
| 465 |
|
|
{{0x378d8e63ffffffffull, 0x1ed09bead87c0ull}
|
| 466 |
|
|
}
|
| 467 |
|
|
, //34
|
| 468 |
|
|
{{0x2b878fe7ffffffffull, 0x13426172c74d82ull}
|
| 469 |
|
|
}
|
| 470 |
|
|
, //35
|
| 471 |
|
|
}
|
| 472 |
|
|
,
|
| 473 |
|
|
{ //RZ
|
| 474 |
|
|
{{0ull, 0ull}
|
| 475 |
|
|
}
|
| 476 |
|
|
, // 0 extra digits
|
| 477 |
|
|
{{0ull, 0ull}
|
| 478 |
|
|
}
|
| 479 |
|
|
, // 1 extra digits
|
| 480 |
|
|
{{0ull, 0ull}
|
| 481 |
|
|
}
|
| 482 |
|
|
, // 2 extra digits
|
| 483 |
|
|
{{00ull, 0ull}
|
| 484 |
|
|
}
|
| 485 |
|
|
, // 3 extra digits
|
| 486 |
|
|
{{000ull, 0ull}
|
| 487 |
|
|
}
|
| 488 |
|
|
, // 4 extra digits
|
| 489 |
|
|
{{0000ull, 0ull}
|
| 490 |
|
|
}
|
| 491 |
|
|
, // 5 extra digits
|
| 492 |
|
|
{{00000ull, 0ull}
|
| 493 |
|
|
}
|
| 494 |
|
|
, // 6 extra digits
|
| 495 |
|
|
{{000000ull, 0ull}
|
| 496 |
|
|
}
|
| 497 |
|
|
, // 7 extra digits
|
| 498 |
|
|
{{0000000ull, 0ull}
|
| 499 |
|
|
}
|
| 500 |
|
|
, // 8 extra digits
|
| 501 |
|
|
{{00000000ull, 0ull}
|
| 502 |
|
|
}
|
| 503 |
|
|
, // 9 extra digits
|
| 504 |
|
|
{{000000000ull, 0ull}
|
| 505 |
|
|
}
|
| 506 |
|
|
, // 10 extra digits
|
| 507 |
|
|
{{0000000000ull, 0ull}
|
| 508 |
|
|
}
|
| 509 |
|
|
, // 11 extra digits
|
| 510 |
|
|
{{00000000000ull, 0ull}
|
| 511 |
|
|
}
|
| 512 |
|
|
, // 12 extra digits
|
| 513 |
|
|
{{000000000000ull, 0ull}
|
| 514 |
|
|
}
|
| 515 |
|
|
, // 13 extra digits
|
| 516 |
|
|
{{0000000000000ull, 0ull}
|
| 517 |
|
|
}
|
| 518 |
|
|
, // 14 extra digits
|
| 519 |
|
|
{{00000000000000ull, 0ull}
|
| 520 |
|
|
}
|
| 521 |
|
|
, // 15 extra digits
|
| 522 |
|
|
{{000000000000000ull, 0ull}
|
| 523 |
|
|
}
|
| 524 |
|
|
, // 16 extra digits
|
| 525 |
|
|
{{0000000000000000ull, 0ull}
|
| 526 |
|
|
}
|
| 527 |
|
|
, // 17 extra digits
|
| 528 |
|
|
{{00000000000000000ull, 0ull}
|
| 529 |
|
|
}
|
| 530 |
|
|
, // 18 extra digits
|
| 531 |
|
|
{{000000000000000000ull, 0ull}
|
| 532 |
|
|
}
|
| 533 |
|
|
, // 19 extra digits
|
| 534 |
|
|
{{0ull, 0ull}
|
| 535 |
|
|
}
|
| 536 |
|
|
, //20
|
| 537 |
|
|
{{0ull, 0ull}
|
| 538 |
|
|
}
|
| 539 |
|
|
, //21
|
| 540 |
|
|
{{0ull, 0ull}
|
| 541 |
|
|
}
|
| 542 |
|
|
, //22
|
| 543 |
|
|
{{0ull, 0ull}
|
| 544 |
|
|
}
|
| 545 |
|
|
, //23
|
| 546 |
|
|
{{0ull, 0ull}
|
| 547 |
|
|
}
|
| 548 |
|
|
, //24
|
| 549 |
|
|
{{0ull, 0ull}
|
| 550 |
|
|
}
|
| 551 |
|
|
, //25
|
| 552 |
|
|
{{0ull, 0ull}
|
| 553 |
|
|
}
|
| 554 |
|
|
, //26
|
| 555 |
|
|
{{0ull, 0ull}
|
| 556 |
|
|
}
|
| 557 |
|
|
, //27
|
| 558 |
|
|
{{0ull, 0ull}
|
| 559 |
|
|
}
|
| 560 |
|
|
, //28
|
| 561 |
|
|
{{0ull, 0ull}
|
| 562 |
|
|
}
|
| 563 |
|
|
, //29
|
| 564 |
|
|
{{0ull, 0ull}
|
| 565 |
|
|
}
|
| 566 |
|
|
, //30
|
| 567 |
|
|
{{0ull, 0ull}
|
| 568 |
|
|
}
|
| 569 |
|
|
, //31
|
| 570 |
|
|
{{0ull, 0ull}
|
| 571 |
|
|
}
|
| 572 |
|
|
, //32
|
| 573 |
|
|
{{0ull, 0ull}
|
| 574 |
|
|
}
|
| 575 |
|
|
, //33
|
| 576 |
|
|
{{0ull, 0ull}
|
| 577 |
|
|
}
|
| 578 |
|
|
, //34
|
| 579 |
|
|
{{0ull, 0ull}
|
| 580 |
|
|
}
|
| 581 |
|
|
, //35
|
| 582 |
|
|
}
|
| 583 |
|
|
,
|
| 584 |
|
|
{ //RN, ties away
|
| 585 |
|
|
{{0ull, 0ull}
|
| 586 |
|
|
}
|
| 587 |
|
|
, // 0 extra digits
|
| 588 |
|
|
{{5ull, 0ull}
|
| 589 |
|
|
}
|
| 590 |
|
|
, // 1 extra digits
|
| 591 |
|
|
{{50ull, 0ull}
|
| 592 |
|
|
}
|
| 593 |
|
|
, // 2 extra digits
|
| 594 |
|
|
{{500ull, 0ull}
|
| 595 |
|
|
}
|
| 596 |
|
|
, // 3 extra digits
|
| 597 |
|
|
{{5000ull, 0ull}
|
| 598 |
|
|
}
|
| 599 |
|
|
, // 4 extra digits
|
| 600 |
|
|
{{50000ull, 0ull}
|
| 601 |
|
|
}
|
| 602 |
|
|
, // 5 extra digits
|
| 603 |
|
|
{{500000ull, 0ull}
|
| 604 |
|
|
}
|
| 605 |
|
|
, // 6 extra digits
|
| 606 |
|
|
{{5000000ull, 0ull}
|
| 607 |
|
|
}
|
| 608 |
|
|
, // 7 extra digits
|
| 609 |
|
|
{{50000000ull, 0ull}
|
| 610 |
|
|
}
|
| 611 |
|
|
, // 8 extra digits
|
| 612 |
|
|
{{500000000ull, 0ull}
|
| 613 |
|
|
}
|
| 614 |
|
|
, // 9 extra digits
|
| 615 |
|
|
{{5000000000ull, 0ull}
|
| 616 |
|
|
}
|
| 617 |
|
|
, // 10 extra digits
|
| 618 |
|
|
{{50000000000ull, 0ull}
|
| 619 |
|
|
}
|
| 620 |
|
|
, // 11 extra digits
|
| 621 |
|
|
{{500000000000ull, 0ull}
|
| 622 |
|
|
}
|
| 623 |
|
|
, // 12 extra digits
|
| 624 |
|
|
{{5000000000000ull, 0ull}
|
| 625 |
|
|
}
|
| 626 |
|
|
, // 13 extra digits
|
| 627 |
|
|
{{50000000000000ull, 0ull}
|
| 628 |
|
|
}
|
| 629 |
|
|
, // 14 extra digits
|
| 630 |
|
|
{{500000000000000ull, 0ull}
|
| 631 |
|
|
}
|
| 632 |
|
|
, // 15 extra digits
|
| 633 |
|
|
{{5000000000000000ull, 0ull}
|
| 634 |
|
|
}
|
| 635 |
|
|
, // 16 extra digits
|
| 636 |
|
|
{{50000000000000000ull, 0ull}
|
| 637 |
|
|
}
|
| 638 |
|
|
, // 17 extra digits
|
| 639 |
|
|
{{500000000000000000ull, 0ull}
|
| 640 |
|
|
}
|
| 641 |
|
|
, // 18 extra digits
|
| 642 |
|
|
{{5000000000000000000ull, 0ull}
|
| 643 |
|
|
}
|
| 644 |
|
|
, // 19 extra digits
|
| 645 |
|
|
{{0xb5e3af16b1880000ull, 2ull}
|
| 646 |
|
|
}
|
| 647 |
|
|
, //20
|
| 648 |
|
|
{{0x1ae4d6e2ef500000ull, 27ull}
|
| 649 |
|
|
}
|
| 650 |
|
|
, //21
|
| 651 |
|
|
{{0xcf064dd59200000ull, 271ull}
|
| 652 |
|
|
}
|
| 653 |
|
|
, //22
|
| 654 |
|
|
{{0x8163f0a57b400000ull, 2710ull}
|
| 655 |
|
|
}
|
| 656 |
|
|
, //23
|
| 657 |
|
|
{{0xde76676d0800000ull, 27105ull}
|
| 658 |
|
|
}
|
| 659 |
|
|
, //24
|
| 660 |
|
|
{{0x8b0a00a425000000ull, 0x422caull}
|
| 661 |
|
|
}
|
| 662 |
|
|
, //25
|
| 663 |
|
|
{{0x6e64066972000000ull, 0x295be9ull}
|
| 664 |
|
|
}
|
| 665 |
|
|
, //26
|
| 666 |
|
|
{{0x4fe8401e74000000ull, 0x19d971eull}
|
| 667 |
|
|
}
|
| 668 |
|
|
, //27
|
| 669 |
|
|
{{0x1f12813088000000ull, 0x1027e72full}
|
| 670 |
|
|
}
|
| 671 |
|
|
, //28
|
| 672 |
|
|
{{0x36b90be550000000ull, 0xa18f07d7ull}
|
| 673 |
|
|
}
|
| 674 |
|
|
, //29
|
| 675 |
|
|
{{0x233a76f520000000ull, 0x64f964e68ull}
|
| 676 |
|
|
}
|
| 677 |
|
|
, //30
|
| 678 |
|
|
{{0x6048a59340000000ull, 0x3f1bdf1011ull}
|
| 679 |
|
|
}
|
| 680 |
|
|
, //31
|
| 681 |
|
|
{{0xc2d677c080000000ull, 0x27716b6a0adull}
|
| 682 |
|
|
}
|
| 683 |
|
|
, //32
|
| 684 |
|
|
{{0x9c60ad8500000000ull, 0x18a6e32246c9ull}
|
| 685 |
|
|
}
|
| 686 |
|
|
, //33
|
| 687 |
|
|
{{0x1bc6c73200000000ull, 0xf684df56c3e0ull}
|
| 688 |
|
|
}
|
| 689 |
|
|
, //34
|
| 690 |
|
|
{{0x15c3c7f400000000ull, 0x9a130b963a6c1ull}
|
| 691 |
|
|
}
|
| 692 |
|
|
, //35
|
| 693 |
|
|
}
|
| 694 |
|
|
};
|
| 695 |
|
|
|
| 696 |
|
|
|
| 697 |
|
|
UINT128 reciprocals10_128[] = {
|
| 698 |
|
|
{{0ull, 0ull}
|
| 699 |
|
|
}
|
| 700 |
|
|
, // 0 extra digits
|
| 701 |
|
|
{{0x3333333333333334ull, 0x3333333333333333ull}
|
| 702 |
|
|
}
|
| 703 |
|
|
, // 1 extra digit
|
| 704 |
|
|
{{0x51eb851eb851eb86ull, 0x051eb851eb851eb8ull}
|
| 705 |
|
|
}
|
| 706 |
|
|
, // 2 extra digits
|
| 707 |
|
|
{{0x3b645a1cac083127ull, 0x0083126e978d4fdfull}
|
| 708 |
|
|
}
|
| 709 |
|
|
, // 3 extra digits
|
| 710 |
|
|
{{0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL}
|
| 711 |
|
|
}
|
| 712 |
|
|
, // 10^(-4) * 2^131
|
| 713 |
|
|
{{0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL}
|
| 714 |
|
|
}
|
| 715 |
|
|
, // 10^(-5) * 2^134
|
| 716 |
|
|
{{0x6d698fe69270b06dULL, 0x00218def416bdb1aULL}
|
| 717 |
|
|
}
|
| 718 |
|
|
, // 10^(-6) * 2^137
|
| 719 |
|
|
{{0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL}
|
| 720 |
|
|
}
|
| 721 |
|
|
, // 10^(-7) * 2^141
|
| 722 |
|
|
{{0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL}
|
| 723 |
|
|
}
|
| 724 |
|
|
, // 10^(-8) * 2^144
|
| 725 |
|
|
{{0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL}
|
| 726 |
|
|
}
|
| 727 |
|
|
, // 10^(-9) * 2^147
|
| 728 |
|
|
{{0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL}
|
| 729 |
|
|
}
|
| 730 |
|
|
, // 10^(-10) * 2^151
|
| 731 |
|
|
{{0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL}
|
| 732 |
|
|
}
|
| 733 |
|
|
, // 10^(-11) * 2^154
|
| 734 |
|
|
{{0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL}
|
| 735 |
|
|
}
|
| 736 |
|
|
, // 10^(-12) * 2^157
|
| 737 |
|
|
{{0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL}
|
| 738 |
|
|
}
|
| 739 |
|
|
, // 10^(-13) * 2^161
|
| 740 |
|
|
{{0x03d4e1213067bce4ULL, 0x002d09370d425736ULL}
|
| 741 |
|
|
}
|
| 742 |
|
|
, // 10^(-14) * 2^164
|
| 743 |
|
|
{{0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL}
|
| 744 |
|
|
}
|
| 745 |
|
|
, // 10^(-15) * 2^167
|
| 746 |
|
|
{{0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL}
|
| 747 |
|
|
}
|
| 748 |
|
|
, // 10^(-16) * 2^171
|
| 749 |
|
|
{{0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL}
|
| 750 |
|
|
}
|
| 751 |
|
|
, // 10^(-17) * 2^174
|
| 752 |
|
|
{{0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL}
|
| 753 |
|
|
}
|
| 754 |
|
|
, // 10^(-18) * 2^177
|
| 755 |
|
|
{{0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL}
|
| 756 |
|
|
}
|
| 757 |
|
|
, // 10^(-19) * 2^181
|
| 758 |
|
|
{{0xbaa23d2ec729af3eULL, 0x002f394219248446ULL}
|
| 759 |
|
|
}
|
| 760 |
|
|
, // 10^(-20) * 2^184
|
| 761 |
|
|
{{0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL}
|
| 762 |
|
|
}
|
| 763 |
|
|
, // 10^(-21) * 2^187
|
| 764 |
|
|
{{0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL}
|
| 765 |
|
|
}
|
| 766 |
|
|
, // 10^(-22) * 2^191
|
| 767 |
|
|
{{0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL}
|
| 768 |
|
|
}
|
| 769 |
|
|
, // 10^(-23) * 2^194
|
| 770 |
|
|
{{0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL}
|
| 771 |
|
|
}
|
| 772 |
|
|
, // 10^(-24) * 2^197
|
| 773 |
|
|
{{0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL}
|
| 774 |
|
|
}
|
| 775 |
|
|
, // 10^(-25) * 2^201
|
| 776 |
|
|
{{0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL}
|
| 777 |
|
|
}
|
| 778 |
|
|
, // 10^(-26) * 2^204
|
| 779 |
|
|
{{0x921dd7a89933d54eULL, 0x00279d346de4781fULL}
|
| 780 |
|
|
}
|
| 781 |
|
|
, // 10^(-27) * 2^207
|
| 782 |
|
|
{{0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL}
|
| 783 |
|
|
}
|
| 784 |
|
|
, // 10^(-28) * 2^211
|
| 785 |
|
|
{{0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL}
|
| 786 |
|
|
}
|
| 787 |
|
|
, // 10^(-29) * 2^214
|
| 788 |
|
|
{{0x0c684960de6a5341ULL, 0x00289097fdd7853fULL}
|
| 789 |
|
|
}
|
| 790 |
|
|
, // 10^(-30) * 2^217
|
| 791 |
|
|
{{0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL}
|
| 792 |
|
|
}
|
| 793 |
|
|
, // 10^(-31) * 2^220
|
| 794 |
|
|
{{0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL}
|
| 795 |
|
|
}
|
| 796 |
|
|
, // 10^(-32) * 2^224
|
| 797 |
|
|
{{0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL}
|
| 798 |
|
|
}
|
| 799 |
|
|
, // 10^(-33) * 2^227
|
| 800 |
|
|
{{0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL}
|
| 801 |
|
|
}
|
| 802 |
|
|
, // 10^(-34) * 2^230
|
| 803 |
|
|
{{0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull}
|
| 804 |
|
|
}
|
| 805 |
|
|
, // 35 extra digits
|
| 806 |
|
|
};
|
| 807 |
|
|
|
| 808 |
|
|
|
| 809 |
|
|
int recip_scale[] = {
|
| 810 |
|
|
129 - 128, // 1
|
| 811 |
|
|
129 - 128, // 1/10
|
| 812 |
|
|
129 - 128, // 1/10^2
|
| 813 |
|
|
129 - 128, // 1/10^3
|
| 814 |
|
|
3, // 131 - 128
|
| 815 |
|
|
6, // 134 - 128
|
| 816 |
|
|
9, // 137 - 128
|
| 817 |
|
|
13, // 141 - 128
|
| 818 |
|
|
16, // 144 - 128
|
| 819 |
|
|
19, // 147 - 128
|
| 820 |
|
|
23, // 151 - 128
|
| 821 |
|
|
26, // 154 - 128
|
| 822 |
|
|
29, // 157 - 128
|
| 823 |
|
|
33, // 161 - 128
|
| 824 |
|
|
36, // 164 - 128
|
| 825 |
|
|
39, // 167 - 128
|
| 826 |
|
|
43, // 171 - 128
|
| 827 |
|
|
46, // 174 - 128
|
| 828 |
|
|
49, // 177 - 128
|
| 829 |
|
|
53, // 181 - 128
|
| 830 |
|
|
56, // 184 - 128
|
| 831 |
|
|
59, // 187 - 128
|
| 832 |
|
|
63, // 191 - 128
|
| 833 |
|
|
|
| 834 |
|
|
66, // 194 - 128
|
| 835 |
|
|
69, // 197 - 128
|
| 836 |
|
|
73, // 201 - 128
|
| 837 |
|
|
76, // 204 - 128
|
| 838 |
|
|
79, // 207 - 128
|
| 839 |
|
|
83, // 211 - 128
|
| 840 |
|
|
86, // 214 - 128
|
| 841 |
|
|
89, // 217 - 128
|
| 842 |
|
|
92, // 220 - 128
|
| 843 |
|
|
96, // 224 - 128
|
| 844 |
|
|
99, // 227 - 128
|
| 845 |
|
|
102, // 230 - 128
|
| 846 |
|
|
109, // 237 - 128, 1/10^35
|
| 847 |
|
|
};
|
| 848 |
|
|
|
| 849 |
|
|
|
| 850 |
|
|
// tables used in computation
|
| 851 |
|
|
int estimate_decimal_digits[129] = {
|
| 852 |
|
|
1, //2^0 =1 < 10^0
|
| 853 |
|
|
1, //2^1 =2 < 10^1
|
| 854 |
|
|
1, //2^2 =4 < 10^1
|
| 855 |
|
|
1, //2^3 =8 < 10^1
|
| 856 |
|
|
2, //2^4 =16 < 10^2
|
| 857 |
|
|
2, //2^5 =32 < 10^2
|
| 858 |
|
|
2, //2^6 =64 < 10^2
|
| 859 |
|
|
3, //2^7 =128 < 10^3
|
| 860 |
|
|
3, //2^8 =256 < 10^3
|
| 861 |
|
|
3, //2^9 =512 < 10^3
|
| 862 |
|
|
4, //2^10=1024 < 10^4
|
| 863 |
|
|
4, //2^11=2048 < 10^4
|
| 864 |
|
|
4, //2^12=4096 < 10^4
|
| 865 |
|
|
4, //2^13=8192 < 10^4
|
| 866 |
|
|
5, //2^14=16384 < 10^5
|
| 867 |
|
|
5, //2^15=32768 < 10^5
|
| 868 |
|
|
|
| 869 |
|
|
5, //2^16=65536 < 10^5
|
| 870 |
|
|
6, //2^17=131072 < 10^6
|
| 871 |
|
|
6, //2^18=262144 < 10^6
|
| 872 |
|
|
6, //2^19=524288 < 10^6
|
| 873 |
|
|
7, //2^20=1048576 < 10^7
|
| 874 |
|
|
7, //2^21=2097152 < 10^7
|
| 875 |
|
|
7, //2^22=4194304 < 10^7
|
| 876 |
|
|
7, //2^23=8388608 < 10^7
|
| 877 |
|
|
8, //2^24=16777216 < 10^8
|
| 878 |
|
|
8, //2^25=33554432 < 10^8
|
| 879 |
|
|
8, //2^26=67108864 < 10^8
|
| 880 |
|
|
9, //2^27=134217728 < 10^9
|
| 881 |
|
|
9, //2^28=268435456 < 10^9
|
| 882 |
|
|
9, //2^29=536870912 < 10^9
|
| 883 |
|
|
10, //2^30=1073741824< 10^10
|
| 884 |
|
|
10, //2^31=2147483648< 10^10
|
| 885 |
|
|
|
| 886 |
|
|
10, //2^32=4294967296 < 10^10
|
| 887 |
|
|
10, //2^33=8589934592 < 10^10
|
| 888 |
|
|
11, //2^34=17179869184 < 10^11
|
| 889 |
|
|
11, //2^35=34359738368 < 10^11
|
| 890 |
|
|
11, //2^36=68719476736 < 10^11
|
| 891 |
|
|
12, //2^37=137438953472 < 10^12
|
| 892 |
|
|
12, //2^38=274877906944 < 10^12
|
| 893 |
|
|
12, //2^39=549755813888 < 10^12
|
| 894 |
|
|
13, //2^40=1099511627776 < 10^13
|
| 895 |
|
|
13, //2^41=2199023255552 < 10^13
|
| 896 |
|
|
13, //2^42=4398046511104 < 10^13
|
| 897 |
|
|
13, //2^43=8796093022208 < 10^13
|
| 898 |
|
|
14, //2^44=17592186044416 < 10^14
|
| 899 |
|
|
14, //2^45=35184372088832 < 10^14
|
| 900 |
|
|
14, //2^46=70368744177664 < 10^14
|
| 901 |
|
|
15, //2^47=140737488355328< 10^15
|
| 902 |
|
|
|
| 903 |
|
|
15, //2^48=281474976710656 < 10^15
|
| 904 |
|
|
15, //2^49=562949953421312 < 10^15
|
| 905 |
|
|
16, //2^50=1125899906842624 < 10^16
|
| 906 |
|
|
16, //2^51=2251799813685248 < 10^16
|
| 907 |
|
|
16, //2^52=4503599627370496 < 10^16
|
| 908 |
|
|
16, //2^53=9007199254740992 < 10^16
|
| 909 |
|
|
17, //2^54=18014398509481984 < 10^17
|
| 910 |
|
|
17, //2^55=36028797018963968 < 10^17
|
| 911 |
|
|
17, //2^56=72057594037927936 < 10^17
|
| 912 |
|
|
18, //2^57=144115188075855872 < 10^18
|
| 913 |
|
|
18, //2^58=288230376151711744 < 10^18
|
| 914 |
|
|
18, //2^59=576460752303423488 < 10^18
|
| 915 |
|
|
19, //2^60=1152921504606846976< 10^19
|
| 916 |
|
|
19, //2^61=2305843009213693952< 10^19
|
| 917 |
|
|
19, //2^62=4611686018427387904< 10^19
|
| 918 |
|
|
19, //2^63=9223372036854775808< 10^19
|
| 919 |
|
|
|
| 920 |
|
|
20, //2^64=18446744073709551616
|
| 921 |
|
|
20, //2^65=36893488147419103232
|
| 922 |
|
|
20, //2^66=73786976294838206464
|
| 923 |
|
|
21, //2^67=147573952589676412928
|
| 924 |
|
|
21, //2^68=295147905179352825856
|
| 925 |
|
|
21, //2^69=590295810358705651712
|
| 926 |
|
|
22, //2^70=1180591620717411303424
|
| 927 |
|
|
22, //2^71=2361183241434822606848
|
| 928 |
|
|
22, //2^72=4722366482869645213696
|
| 929 |
|
|
22, //2^73=9444732965739290427392
|
| 930 |
|
|
23, //2^74=18889465931478580854784
|
| 931 |
|
|
23, //2^75=37778931862957161709568
|
| 932 |
|
|
23, //2^76=75557863725914323419136
|
| 933 |
|
|
24, //2^77=151115727451828646838272
|
| 934 |
|
|
24, //2^78=302231454903657293676544
|
| 935 |
|
|
24, //2^79=604462909807314587353088
|
| 936 |
|
|
|
| 937 |
|
|
25, //2^80=1208925819614629174706176
|
| 938 |
|
|
25, //2^81=2417851639229258349412352
|
| 939 |
|
|
25, //2^82=4835703278458516698824704
|
| 940 |
|
|
25, //2^83=9671406556917033397649408
|
| 941 |
|
|
26, //2^84=19342813113834066795298816
|
| 942 |
|
|
26, //2^85=38685626227668133590597632
|
| 943 |
|
|
26, //2^86=77371252455336267181195264
|
| 944 |
|
|
27, //2^87=154742504910672534362390528
|
| 945 |
|
|
27, //2^88=309485009821345068724781056
|
| 946 |
|
|
27, //2^89=618970019642690137449562112
|
| 947 |
|
|
28, //2^90=1237940039285380274899124224
|
| 948 |
|
|
28, //2^91=2475880078570760549798248448
|
| 949 |
|
|
28, //2^92=4951760157141521099596496896
|
| 950 |
|
|
28, //2^93=9903520314283042199192993792
|
| 951 |
|
|
29, //2^94=19807040628566084398385987584
|
| 952 |
|
|
29, //2^95=39614081257132168796771975168
|
| 953 |
|
|
29, //2^96=79228162514264337593543950336
|
| 954 |
|
|
|
| 955 |
|
|
30, //2^97=158456325028528675187087900672
|
| 956 |
|
|
30, //2^98=316912650057057350374175801344
|
| 957 |
|
|
30, //2^99=633825300114114700748351602688
|
| 958 |
|
|
31, //2^100=1267650600228229401496703205376
|
| 959 |
|
|
31, //2^101=2535301200456458802993406410752
|
| 960 |
|
|
31, //2^102=5070602400912917605986812821504
|
| 961 |
|
|
32, //2^103=10141204801825835211973625643008
|
| 962 |
|
|
32, //2^104=20282409603651670423947251286016
|
| 963 |
|
|
32, //2^105=40564819207303340847894502572032
|
| 964 |
|
|
32, //2^106=81129638414606681695789005144064
|
| 965 |
|
|
33, //2^107=162259276829213363391578010288128
|
| 966 |
|
|
33, // 2^108
|
| 967 |
|
|
33, // 2^109
|
| 968 |
|
|
34, // 2^110
|
| 969 |
|
|
34, // 2^111
|
| 970 |
|
|
34, // 2^112
|
| 971 |
|
|
35, // 2^113
|
| 972 |
|
|
35, // 2^114
|
| 973 |
|
|
35, // 2^115
|
| 974 |
|
|
35, // 2^116
|
| 975 |
|
|
36, // 2^117
|
| 976 |
|
|
36, // 2^118
|
| 977 |
|
|
36, // 2^119
|
| 978 |
|
|
37, // 2^120
|
| 979 |
|
|
37, // 2^121
|
| 980 |
|
|
37, // 2^122
|
| 981 |
|
|
38, // 2^123
|
| 982 |
|
|
38, // 2^124
|
| 983 |
|
|
38, // 2^125
|
| 984 |
|
|
38, // 2^126
|
| 985 |
|
|
39, // 2^127
|
| 986 |
|
|
39 // 2^128
|
| 987 |
|
|
};
|
| 988 |
|
|
|
| 989 |
|
|
|
| 990 |
|
|
UINT128 power10_table_128[] = {
|
| 991 |
|
|
{{0x0000000000000001ull, 0x0000000000000000ull}}, // 10^0
|
| 992 |
|
|
{{0x000000000000000aull, 0x0000000000000000ull}}, // 10^1
|
| 993 |
|
|
{{0x0000000000000064ull, 0x0000000000000000ull}}, // 10^2
|
| 994 |
|
|
{{0x00000000000003e8ull, 0x0000000000000000ull}}, // 10^3
|
| 995 |
|
|
{{0x0000000000002710ull, 0x0000000000000000ull}}, // 10^4
|
| 996 |
|
|
{{0x00000000000186a0ull, 0x0000000000000000ull}}, // 10^5
|
| 997 |
|
|
{{0x00000000000f4240ull, 0x0000000000000000ull}}, // 10^6
|
| 998 |
|
|
{{0x0000000000989680ull, 0x0000000000000000ull}}, // 10^7
|
| 999 |
|
|
{{0x0000000005f5e100ull, 0x0000000000000000ull}}, // 10^8
|
| 1000 |
|
|
{{0x000000003b9aca00ull, 0x0000000000000000ull}}, // 10^9
|
| 1001 |
|
|
{{0x00000002540be400ull, 0x0000000000000000ull}}, // 10^10
|
| 1002 |
|
|
{{0x000000174876e800ull, 0x0000000000000000ull}}, // 10^11
|
| 1003 |
|
|
{{0x000000e8d4a51000ull, 0x0000000000000000ull}}, // 10^12
|
| 1004 |
|
|
{{0x000009184e72a000ull, 0x0000000000000000ull}}, // 10^13
|
| 1005 |
|
|
{{0x00005af3107a4000ull, 0x0000000000000000ull}}, // 10^14
|
| 1006 |
|
|
{{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, // 10^15
|
| 1007 |
|
|
{{0x002386f26fc10000ull, 0x0000000000000000ull}}, // 10^16
|
| 1008 |
|
|
{{0x016345785d8a0000ull, 0x0000000000000000ull}}, // 10^17
|
| 1009 |
|
|
{{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, // 10^18
|
| 1010 |
|
|
{{0x8ac7230489e80000ull, 0x0000000000000000ull}}, // 10^19
|
| 1011 |
|
|
{{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
| 1012 |
|
|
{{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
| 1013 |
|
|
{{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
| 1014 |
|
|
{{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
| 1015 |
|
|
{{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
| 1016 |
|
|
{{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
| 1017 |
|
|
{{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
| 1018 |
|
|
{{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
| 1019 |
|
|
{{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
| 1020 |
|
|
{{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
| 1021 |
|
|
{{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
| 1022 |
|
|
{{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
| 1023 |
|
|
{{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
| 1024 |
|
|
{{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
| 1025 |
|
|
{{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
| 1026 |
|
|
{{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
| 1027 |
|
|
{{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36
|
| 1028 |
|
|
{{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
| 1029 |
|
|
{{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
| 1030 |
|
|
};
|
| 1031 |
|
|
|
| 1032 |
|
|
|
| 1033 |
|
|
int estimate_bin_expon[] = {
|
| 1034 |
|
|
0, // 10^0
|
| 1035 |
|
|
3, // 10^1
|
| 1036 |
|
|
6, // 10^2
|
| 1037 |
|
|
9, // 10^3
|
| 1038 |
|
|
13, // 10^4
|
| 1039 |
|
|
16, // 10^5
|
| 1040 |
|
|
19, // 10^6
|
| 1041 |
|
|
23, // 10^7
|
| 1042 |
|
|
26, // 10^8
|
| 1043 |
|
|
29, // 10^9
|
| 1044 |
|
|
33, // 10^10
|
| 1045 |
|
|
36, // 10^11
|
| 1046 |
|
|
39, // 10^12
|
| 1047 |
|
|
43, // 10^13
|
| 1048 |
|
|
46, // 10^14
|
| 1049 |
|
|
49, // 10^15
|
| 1050 |
|
|
53 // 10^16
|
| 1051 |
|
|
};
|
| 1052 |
|
|
|
| 1053 |
|
|
|
| 1054 |
|
|
UINT64 power10_index_binexp[] = {
|
| 1055 |
|
|
0x000000000000000aull,
|
| 1056 |
|
|
0x000000000000000aull,
|
| 1057 |
|
|
0x000000000000000aull,
|
| 1058 |
|
|
0x000000000000000aull,
|
| 1059 |
|
|
0x0000000000000064ull,
|
| 1060 |
|
|
0x0000000000000064ull,
|
| 1061 |
|
|
0x0000000000000064ull,
|
| 1062 |
|
|
0x00000000000003e8ull,
|
| 1063 |
|
|
0x00000000000003e8ull,
|
| 1064 |
|
|
0x00000000000003e8ull,
|
| 1065 |
|
|
0x0000000000002710ull,
|
| 1066 |
|
|
0x0000000000002710ull,
|
| 1067 |
|
|
0x0000000000002710ull,
|
| 1068 |
|
|
0x0000000000002710ull,
|
| 1069 |
|
|
0x00000000000186a0ull,
|
| 1070 |
|
|
0x00000000000186a0ull,
|
| 1071 |
|
|
0x00000000000186a0ull,
|
| 1072 |
|
|
0x00000000000f4240ull,
|
| 1073 |
|
|
0x00000000000f4240ull,
|
| 1074 |
|
|
0x00000000000f4240ull,
|
| 1075 |
|
|
0x0000000000989680ull,
|
| 1076 |
|
|
0x0000000000989680ull,
|
| 1077 |
|
|
0x0000000000989680ull,
|
| 1078 |
|
|
0x0000000000989680ull,
|
| 1079 |
|
|
0x0000000005f5e100ull,
|
| 1080 |
|
|
0x0000000005f5e100ull,
|
| 1081 |
|
|
0x0000000005f5e100ull,
|
| 1082 |
|
|
0x000000003b9aca00ull,
|
| 1083 |
|
|
0x000000003b9aca00ull,
|
| 1084 |
|
|
0x000000003b9aca00ull,
|
| 1085 |
|
|
0x00000002540be400ull,
|
| 1086 |
|
|
0x00000002540be400ull,
|
| 1087 |
|
|
0x00000002540be400ull,
|
| 1088 |
|
|
0x00000002540be400ull,
|
| 1089 |
|
|
0x000000174876e800ull,
|
| 1090 |
|
|
0x000000174876e800ull,
|
| 1091 |
|
|
0x000000174876e800ull,
|
| 1092 |
|
|
0x000000e8d4a51000ull,
|
| 1093 |
|
|
0x000000e8d4a51000ull,
|
| 1094 |
|
|
0x000000e8d4a51000ull,
|
| 1095 |
|
|
0x000009184e72a000ull,
|
| 1096 |
|
|
0x000009184e72a000ull,
|
| 1097 |
|
|
0x000009184e72a000ull,
|
| 1098 |
|
|
0x000009184e72a000ull,
|
| 1099 |
|
|
0x00005af3107a4000ull,
|
| 1100 |
|
|
0x00005af3107a4000ull,
|
| 1101 |
|
|
0x00005af3107a4000ull,
|
| 1102 |
|
|
0x00038d7ea4c68000ull,
|
| 1103 |
|
|
0x00038d7ea4c68000ull,
|
| 1104 |
|
|
0x00038d7ea4c68000ull,
|
| 1105 |
|
|
0x002386f26fc10000ull,
|
| 1106 |
|
|
0x002386f26fc10000ull,
|
| 1107 |
|
|
0x002386f26fc10000ull,
|
| 1108 |
|
|
0x002386f26fc10000ull,
|
| 1109 |
|
|
0x016345785d8a0000ull,
|
| 1110 |
|
|
0x016345785d8a0000ull,
|
| 1111 |
|
|
0x016345785d8a0000ull,
|
| 1112 |
|
|
0x0de0b6b3a7640000ull,
|
| 1113 |
|
|
0x0de0b6b3a7640000ull,
|
| 1114 |
|
|
0x0de0b6b3a7640000ull,
|
| 1115 |
|
|
0x8ac7230489e80000ull,
|
| 1116 |
|
|
0x8ac7230489e80000ull,
|
| 1117 |
|
|
0x8ac7230489e80000ull,
|
| 1118 |
|
|
0x8ac7230489e80000ull
|
| 1119 |
|
|
};
|
| 1120 |
|
|
|
| 1121 |
|
|
|
| 1122 |
|
|
int short_recip_scale[] = {
|
| 1123 |
|
|
1,
|
| 1124 |
|
|
65 - 64,
|
| 1125 |
|
|
69 - 64,
|
| 1126 |
|
|
71 - 64,
|
| 1127 |
|
|
75 - 64,
|
| 1128 |
|
|
78 - 64,
|
| 1129 |
|
|
81 - 64,
|
| 1130 |
|
|
85 - 64,
|
| 1131 |
|
|
88 - 64,
|
| 1132 |
|
|
91 - 64,
|
| 1133 |
|
|
95 - 64,
|
| 1134 |
|
|
98 - 64,
|
| 1135 |
|
|
101 - 64,
|
| 1136 |
|
|
105 - 64,
|
| 1137 |
|
|
108 - 64,
|
| 1138 |
|
|
111 - 64,
|
| 1139 |
|
|
115 - 64, //114 - 64
|
| 1140 |
|
|
118 - 64
|
| 1141 |
|
|
};
|
| 1142 |
|
|
|
| 1143 |
|
|
|
| 1144 |
|
|
UINT64 reciprocals10_64[] = {
|
| 1145 |
|
|
1ull, // dummy value for 0 extra digits
|
| 1146 |
|
|
0x3333333333333334ull, // 1 extra digit
|
| 1147 |
|
|
0x51eb851eb851eb86ull,
|
| 1148 |
|
|
0x20c49ba5e353f7cfull,
|
| 1149 |
|
|
0x346dc5d63886594bull,
|
| 1150 |
|
|
0x29f16b11c6d1e109ull,
|
| 1151 |
|
|
0x218def416bdb1a6eull,
|
| 1152 |
|
|
0x35afe535795e90b0ull,
|
| 1153 |
|
|
0x2af31dc4611873c0ull,
|
| 1154 |
|
|
0x225c17d04dad2966ull,
|
| 1155 |
|
|
0x36f9bfb3af7b7570ull,
|
| 1156 |
|
|
0x2bfaffc2f2c92ac0ull,
|
| 1157 |
|
|
0x232f33025bd42233ull,
|
| 1158 |
|
|
0x384b84d092ed0385ull,
|
| 1159 |
|
|
0x2d09370d42573604ull,
|
| 1160 |
|
|
0x24075f3dceac2b37ull,
|
| 1161 |
|
|
0x39a5652fb1137857ull,
|
| 1162 |
|
|
0x2e1dea8c8da92d13ull
|
| 1163 |
|
|
};
|
| 1164 |
|
|
|
| 1165 |
|
|
|
| 1166 |
|
|
|
| 1167 |
|
|
UINT128 power10_index_binexp_128[] = {
|
| 1168 |
|
|
{{0x000000000000000aull, 0x0000000000000000ull}},
|
| 1169 |
|
|
{{0x000000000000000aull, 0x0000000000000000ull}},
|
| 1170 |
|
|
{{0x000000000000000aull, 0x0000000000000000ull}},
|
| 1171 |
|
|
{{0x000000000000000aull, 0x0000000000000000ull}},
|
| 1172 |
|
|
{{0x0000000000000064ull, 0x0000000000000000ull}},
|
| 1173 |
|
|
{{0x0000000000000064ull, 0x0000000000000000ull}},
|
| 1174 |
|
|
{{0x0000000000000064ull, 0x0000000000000000ull}},
|
| 1175 |
|
|
{{0x00000000000003e8ull, 0x0000000000000000ull}},
|
| 1176 |
|
|
{{0x00000000000003e8ull, 0x0000000000000000ull}},
|
| 1177 |
|
|
{{0x00000000000003e8ull, 0x0000000000000000ull}},
|
| 1178 |
|
|
{{0x0000000000002710ull, 0x0000000000000000ull}},
|
| 1179 |
|
|
{{0x0000000000002710ull, 0x0000000000000000ull}},
|
| 1180 |
|
|
{{0x0000000000002710ull, 0x0000000000000000ull}},
|
| 1181 |
|
|
{{0x0000000000002710ull, 0x0000000000000000ull}},
|
| 1182 |
|
|
{{0x00000000000186a0ull, 0x0000000000000000ull}},
|
| 1183 |
|
|
{{0x00000000000186a0ull, 0x0000000000000000ull}},
|
| 1184 |
|
|
{{0x00000000000186a0ull, 0x0000000000000000ull}},
|
| 1185 |
|
|
{{0x00000000000f4240ull, 0x0000000000000000ull}},
|
| 1186 |
|
|
{{0x00000000000f4240ull, 0x0000000000000000ull}},
|
| 1187 |
|
|
{{0x00000000000f4240ull, 0x0000000000000000ull}},
|
| 1188 |
|
|
{{0x0000000000989680ull, 0x0000000000000000ull}},
|
| 1189 |
|
|
{{0x0000000000989680ull, 0x0000000000000000ull}},
|
| 1190 |
|
|
{{0x0000000000989680ull, 0x0000000000000000ull}},
|
| 1191 |
|
|
{{0x0000000000989680ull, 0x0000000000000000ull}},
|
| 1192 |
|
|
{{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
| 1193 |
|
|
{{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
| 1194 |
|
|
{{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
| 1195 |
|
|
{{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
| 1196 |
|
|
{{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
| 1197 |
|
|
{{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
| 1198 |
|
|
{{0x00000002540be400ull, 0x0000000000000000ull}},
|
| 1199 |
|
|
{{0x00000002540be400ull, 0x0000000000000000ull}},
|
| 1200 |
|
|
{{0x00000002540be400ull, 0x0000000000000000ull}},
|
| 1201 |
|
|
{{0x00000002540be400ull, 0x0000000000000000ull}},
|
| 1202 |
|
|
{{0x000000174876e800ull, 0x0000000000000000ull}},
|
| 1203 |
|
|
{{0x000000174876e800ull, 0x0000000000000000ull}},
|
| 1204 |
|
|
{{0x000000174876e800ull, 0x0000000000000000ull}},
|
| 1205 |
|
|
{{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
| 1206 |
|
|
{{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
| 1207 |
|
|
{{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
| 1208 |
|
|
{{0x000009184e72a000ull, 0x0000000000000000ull}},
|
| 1209 |
|
|
{{0x000009184e72a000ull, 0x0000000000000000ull}},
|
| 1210 |
|
|
{{0x000009184e72a000ull, 0x0000000000000000ull}},
|
| 1211 |
|
|
{{0x000009184e72a000ull, 0x0000000000000000ull}},
|
| 1212 |
|
|
{{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
| 1213 |
|
|
{{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
| 1214 |
|
|
{{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
| 1215 |
|
|
{{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
| 1216 |
|
|
{{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
| 1217 |
|
|
{{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
| 1218 |
|
|
{{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
| 1219 |
|
|
{{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
| 1220 |
|
|
{{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
| 1221 |
|
|
{{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
| 1222 |
|
|
{{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
| 1223 |
|
|
{{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
| 1224 |
|
|
{{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
| 1225 |
|
|
{{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
| 1226 |
|
|
{{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
| 1227 |
|
|
{{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
| 1228 |
|
|
{{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
| 1229 |
|
|
{{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
| 1230 |
|
|
{{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
| 1231 |
|
|
{{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
| 1232 |
|
|
{{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
| 1233 |
|
|
{{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
| 1234 |
|
|
{{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
| 1235 |
|
|
{{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
| 1236 |
|
|
{{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
| 1237 |
|
|
{{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
| 1238 |
|
|
{{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
| 1239 |
|
|
{{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
| 1240 |
|
|
{{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
| 1241 |
|
|
{{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
| 1242 |
|
|
{{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
| 1243 |
|
|
{{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
| 1244 |
|
|
{{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
| 1245 |
|
|
{{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
| 1246 |
|
|
{{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
| 1247 |
|
|
{{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
| 1248 |
|
|
{{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
| 1249 |
|
|
{{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
| 1250 |
|
|
{{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
| 1251 |
|
|
{{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
| 1252 |
|
|
{{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
| 1253 |
|
|
{{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
| 1254 |
|
|
{{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
| 1255 |
|
|
{{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
| 1256 |
|
|
{{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
| 1257 |
|
|
{{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
| 1258 |
|
|
{{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
| 1259 |
|
|
{{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
| 1260 |
|
|
{{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
| 1261 |
|
|
{{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
| 1262 |
|
|
{{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
| 1263 |
|
|
{{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
| 1264 |
|
|
{{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
| 1265 |
|
|
{{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
| 1266 |
|
|
{{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
| 1267 |
|
|
{{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
| 1268 |
|
|
{{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
| 1269 |
|
|
{{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
| 1270 |
|
|
{{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
| 1271 |
|
|
{{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
| 1272 |
|
|
{{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
| 1273 |
|
|
{{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
| 1274 |
|
|
{{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
| 1275 |
|
|
{{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
| 1276 |
|
|
{{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
| 1277 |
|
|
{{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33, entry 112
|
| 1278 |
|
|
{{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
| 1279 |
|
|
{{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
| 1280 |
|
|
{{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
| 1281 |
|
|
{{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
| 1282 |
|
|
{{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
| 1283 |
|
|
{{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
| 1284 |
|
|
{{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
| 1285 |
|
|
{{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36
|
| 1286 |
|
|
{{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
| 1287 |
|
|
{{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
| 1288 |
|
|
{{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
| 1289 |
|
|
{{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
| 1290 |
|
|
{{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
| 1291 |
|
|
{{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
| 1292 |
|
|
{{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
| 1293 |
|
|
};
|