Mercurial > dropbear
annotate libtommath/bn_mp_montgomery_setup.c @ 1782:a6da10ac64b5 fuzz
fuzz: make postauth set authdone properly
author | Matt Johnston <matt@ucc.asn.au> |
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date | Thu, 03 Dec 2020 22:18:51 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_MONTGOMERY_SETUP_C |
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */ |
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4 /* SPDX-License-Identifier: Unlicense */ |
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5 |
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6 /* setups the montgomery reduction stuff */ |
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7 mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) |
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8 { |
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9 mp_digit x, b; |
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10 |
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11 /* fast inversion mod 2**k |
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12 * |
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13 * Based on the fact that |
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14 * |
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15 * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) |
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16 * => 2*X*A - X*X*A*A = 1 |
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17 * => 2*(1) - (1) = 1 |
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18 */ |
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19 b = n->dp[0]; |
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20 |
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21 if ((b & 1u) == 0u) { |
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22 return MP_VAL; |
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23 } |
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24 |
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25 x = (((b + 2u) & 4u) << 1) + b; /* here x*a==1 mod 2**4 */ |
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26 x *= 2u - (b * x); /* here x*a==1 mod 2**8 */ |
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27 #if !defined(MP_8BIT) |
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28 x *= 2u - (b * x); /* here x*a==1 mod 2**16 */ |
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29 #endif |
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30 #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) |
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31 x *= 2u - (b * x); /* here x*a==1 mod 2**32 */ |
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32 #endif |
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33 #ifdef MP_64BIT |
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34 x *= 2u - (b * x); /* here x*a==1 mod 2**64 */ |
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35 #endif |
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36 |
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37 /* rho = -1/m mod b */ |
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38 *rho = (mp_digit)(((mp_word)1 << (mp_word)MP_DIGIT_BIT) - x) & MP_MASK; |
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39 |
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40 return MP_OKAY; |
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41 } |
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42 #endif |