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141 lines
9.3 KiB
Plaintext
141 lines
9.3 KiB
Plaintext
# Data file for mpc_sqrt.
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#
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# Copyright (C) INRIA, 2008, 2010
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#
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# This file is part of the MPC Library.
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#
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# The MPC Library is free software; you can redistribute it and/or modify
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# it under the terms of the GNU Lesser General Public License as published by
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# the Free Software Foundation; either version 2.1 of the License, or (at your
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# option) any later version.
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#
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# The MPC Library is distributed in the hope that it will be useful, but
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# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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# License for more details.
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#
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# You should have received a copy of the GNU Lesser General Public License
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# along with the MPC Library; see the file COPYING.LIB. If not, write to
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# the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
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# MA 02111-1307, USA.
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#
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# The line format respects the parameter order in function prototype as
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# follow:
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#
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# INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM
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#
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# see sin.dat for precisions
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# special values (following ISO C99 standard)
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0 0 53 +inf 53 -inf 53 -inf 53 -inf N N
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0 0 53 +0 53 -inf 53 -inf 53 -1 N N
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0 0 53 +0 53 -inf 53 -inf 53 -0 N N
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0 0 53 +0 53 +inf 53 -inf 53 +0 N N
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0 0 53 +0 53 +inf 53 -inf 53 +1 N N
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0 0 53 +inf 53 +inf 53 -inf 53 +inf N N
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0 0 53 nan 53 inf 53 -inf 53 nan N N
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0 0 53 +inf 53 -inf 53 -1 53 -inf N N
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0 0 53 +0 53 -1 53 -1 53 -0 N N
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0 0 53 +0 53 +1 53 -1 53 +0 N N
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0 0 53 +inf 53 +inf 53 -1 53 +inf N N
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0 0 53 nan 53 nan 53 -1 53 nan N N
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0 0 53 +inf 53 -inf 53 -0 53 -inf N N
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0 0 53 +1 53 -1 53 -0 53 -2 N N
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0 0 53 +0 53 -0 53 -0 53 -0 N N
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0 0 53 +0 53 +0 53 -0 53 +0 N N
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0 0 53 +1 53 +1 53 -0 53 +2 N N
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0 0 53 +inf 53 +inf 53 -0 53 +inf N N
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0 0 53 nan 53 nan 53 -0 53 nan N N
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0 0 53 +inf 53 -inf 53 +0 53 -inf N N
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0 0 53 +1 53 -1 53 +0 53 -2 N N
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0 0 53 +0 53 -0 53 +0 53 -0 N N
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0 0 53 +0 53 +0 53 +0 53 +0 N N
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0 0 53 +1 53 +1 53 +0 53 +2 N N
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0 0 53 +inf 53 +inf 53 +0 53 +inf N N
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0 0 53 nan 53 nan 53 +0 53 nan N N
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0 0 53 +inf 53 -inf 53 +1 53 -inf N N
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0 0 53 +1 53 -0 53 +1 53 -0 N N
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0 0 53 +1 53 +0 53 +1 53 +0 N N
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0 0 53 +inf 53 +inf 53 +1 53 +inf N N
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0 0 53 nan 53 nan 53 +1 53 nan N N
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0 0 53 +inf 53 -inf 53 +inf 53 -inf N N
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0 0 53 +inf 53 -0 53 +inf 53 -1 N N
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0 0 53 +inf 53 -0 53 +inf 53 -0 N N
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0 0 53 +inf 53 +0 53 +inf 53 +0 N N
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0 0 53 +inf 53 +0 53 +inf 53 +1 N N
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0 0 53 +inf 53 +inf 53 +inf 53 +inf N N
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0 0 53 +inf 53 nan 53 +inf 53 nan N N
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0 0 53 +inf 53 -inf 53 nan 53 -inf N N
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0 0 53 nan 53 nan 53 nan 53 -1 N N
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0 0 53 nan 53 nan 53 nan 53 -0 N N
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0 0 53 nan 53 nan 53 nan 53 +0 N N
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0 0 53 nan 53 nan 53 nan 53 +1 N N
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0 0 53 +inf 53 +inf 53 nan 53 +inf N N
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0 0 53 nan 53 nan 53 nan 53 nan N N
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# purely real argument
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# sqrt(x +i*0) = sqrt(x) +i*0, when x>0
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# sqrt(x -i*0) = sqrt(x) -i*0, when x>0
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# sqrt(x +i*0) = +0 +i*sqrt(-x) +i*0, when x<0
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# sqrt(x -i*0) = +0 -i*sqrt(-x) +i*0, when x<0
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+ 0 53 0x16a09e667f3bcdp-52 53 +0 53 2 17 +0 N N
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0 + 53 +0 53 0x16a09e667f3bcdp-52 54 -2 16 +0 Z N
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+ 0 53 0x16a09e667f3bcdp-52 53 -0 55 2 15 -0 U N
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0 - 53 +0 53 -0x16a09e667f3bcdp-52 56 -2 14 -0 D N
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- 0 53 0x5a827999fcef30p-54 53 +0 57 2 13 +0 Z Z
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0 - 53 +0 53 0x5a827999fcef30p-54 58 -2 12 +0 U Z
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- 0 53 0x5a827999fcef30p-54 53 -0 59 2 11 -0 D Z
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0 + 53 +0 53 -0x5a827999fcef30p-54 60 -2 10 -0 N Z
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+ 0 53 0x16a09e667f3bcdp-52 53 +0 61 2 9 +0 U U
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0 + 53 +0 53 0x16a09e667f3bcdp-52 62 -2 8 +0 D U
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+ 0 53 0x16a09e667f3bcdp-52 53 -0 63 2 7 -0 N U
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0 + 53 +0 53 -0x5a827999fcef30p-54 64 -2 6 -0 Z U
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- 0 53 0x5a827999fcef30p-54 53 +0 65 2 5 +0 D D
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0 - 53 +0 53 0x5a827999fcef30p-54 66 -2 4 +0 N D
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- 0 53 0x5a827999fcef30p-54 53 -0 67 2 3 -0 Z D
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0 - 53 +0 53 -0x16a09e667f3bcdp-52 68 -2 2 -0 U D
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# purely imaginary argument
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# sqrt(+/-0 +i*y) = sqrt(y/2) * (1 +i), when y >0
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# sqrt(+/-0 +i*y) = sqrt(-y/2) * (1 -i), when y < 0
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+ + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 53 +0 53 4 N N
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- + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 51 -0 54 4 Z N
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+ - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 49 +0 55 -4 U N
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- - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 47 -0 56 -4 D N
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- - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 45 +0 57 4 Z Z
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+ - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 43 -0 58 4 U Z
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- + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 41 +0 59 -4 D Z
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+ + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 39 -0 60 -4 N Z
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+ + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 37 +0 61 4 U U
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- + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 35 -0 62 4 D U
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+ + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 33 +0 63 -4 N U
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- + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 31 -0 64 -4 Z U
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- - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 29 +0 65 4 D D
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+ - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 27 -0 66 4 N D
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- - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 25 +0 67 -4 Z D
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+ - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 23 -0 68 -4 U D
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# bugs fixed in r160 2008-07-15
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- + 19 0b11101001001001001100p+39 19 -0b1010110101100111011p-236 19 0b1.101010001010100000p+117 19 -0b1.001110111101100001p-158 N Z
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- + 2 0b11p+100 2 -0b11p+100 2 -0 2 -0b11p+203 N Z
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0 + 2 0 2 -0b10p+117 2 -0b11p+235 2 -0 N Z
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# close to infinite loop reported by Emmanuel Thome, 22 Oct 2010,
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# and all its variants of signs and directed roundings
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- + 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N
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+ + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U
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- - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D
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- - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z
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- - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N
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+ + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U
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- - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D
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- + 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z
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+ - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N
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+ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U
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- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D
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- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z
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+ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N
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+ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U
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- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D
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- + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z
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