annotate libtommath/bn_mp_montgomery_reduce.c @ 1857:6022df862942

Use DSCP for IP QoS traffic classes The previous TOS values are deprecated and not used by modern traffic classifiers. This sets AF21 for "interactive" traffic (with a tty). Non-tty traffic sets AF11 - that indicates high throughput but is not lowest priority (which would be CS1 or LE). This differs from the CS1 used by OpenSSH, it lets interactive git over SSH have higher priority than background least effort traffic. Dropbear's settings here should be suitable with the diffservs used by CAKE qdisc.
author Matt Johnston <matt@ucc.asn.au>
date Tue, 25 Jan 2022 17:32:20 +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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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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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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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 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 #endif