annotate libtommath/bn_mp_montgomery_reduce.c @ 1861:2b3a8026a6ce

Add re-exec for server This allows ASLR to re-randomize the address space for every connection, preventing some vulnerabilities from being exploitable by repeated probing. Overhead (memory and time) is yet to be confirmed. At present this is only enabled on Linux. Other BSD platforms with fexecve() would probably also work though have not been tested.
author Matt Johnston <matt@ucc.asn.au>
date Sun, 30 Jan 2022 10:14:56 +0800
parents 1051e4eea25a
children
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_MONTGOMERY_REDUCE_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 /* computes xR**-1 == x (mod N) via Montgomery Reduction */
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7 mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho)
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8 {
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9 int ix, digs;
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10 mp_err err;
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11 mp_digit mu;
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12
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13 /* can the fast reduction [comba] method be used?
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14 *
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15 * Note that unlike in mul you're safely allowed *less*
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16 * than the available columns [255 per default] since carries
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17 * are fixed up in the inner loop.
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18 */
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19 digs = (n->used * 2) + 1;
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20 if ((digs < MP_WARRAY) &&
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21 (x->used <= MP_WARRAY) &&
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22 (n->used < MP_MAXFAST)) {
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23 return s_mp_montgomery_reduce_fast(x, n, rho);
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24 }
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25
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26 /* grow the input as required */
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27 if (x->alloc < digs) {
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28 if ((err = mp_grow(x, digs)) != MP_OKAY) {
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29 return err;
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30 }
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31 }
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32 x->used = digs;
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33
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34 for (ix = 0; ix < n->used; ix++) {
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35 /* mu = ai * rho mod b
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36 *
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37 * The value of rho must be precalculated via
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38 * montgomery_setup() such that
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39 * it equals -1/n0 mod b this allows the
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40 * following inner loop to reduce the
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41 * input one digit at a time
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42 */
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43 mu = (mp_digit)(((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK);
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44
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45 /* a = a + mu * m * b**i */
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46 {
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47 int iy;
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48 mp_digit *tmpn, *tmpx, u;
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49 mp_word r;
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51 /* alias for digits of the modulus */
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52 tmpn = n->dp;
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53
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54 /* alias for the digits of x [the input] */
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55 tmpx = x->dp + ix;
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56
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57 /* set the carry to zero */
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58 u = 0;
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59
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60 /* Multiply and add in place */
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61 for (iy = 0; iy < n->used; iy++) {
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62 /* compute product and sum */
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63 r = ((mp_word)mu * (mp_word)*tmpn++) +
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64 (mp_word)u + (mp_word)*tmpx;
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65
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66 /* get carry */
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67 u = (mp_digit)(r >> (mp_word)MP_DIGIT_BIT);
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68
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69 /* fix digit */
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70 *tmpx++ = (mp_digit)(r & (mp_word)MP_MASK);
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71 }
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72 /* At this point the ix'th digit of x should be zero */
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73
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74
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75 /* propagate carries upwards as required*/
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76 while (u != 0u) {
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77 *tmpx += u;
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78 u = *tmpx >> MP_DIGIT_BIT;
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79 *tmpx++ &= MP_MASK;
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80 }
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81 }
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82 }
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83
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84 /* at this point the n.used'th least
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85 * significant digits of x are all zero
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86 * which means we can shift x to the
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87 * right by n.used digits and the
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88 * residue is unchanged.
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89 */
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90
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91 /* x = x/b**n.used */
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92 mp_clamp(x);
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93 mp_rshd(x, n->used);
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94
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95 /* if x >= n then x = x - n */
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96 if (mp_cmp_mag(x, n) != MP_LT) {
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97 return s_mp_sub(x, n, x);
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98 }
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99
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100 return MP_OKAY;
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101 }
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102 #endif