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annotate libtommath/bn_s_mp_toom_sqr.c @ 1788:1fc0012b9c38

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Fix handling of replies to global requests (#112) The current code assumes that all global requests want / need a reply. This isn't always true and the request itself indicates if it wants a reply or not. It causes a specific problem with [email protected] messages. These are sent by OpenSSH after authentication to inform the client of potential other host keys for the host. This can be used to add a new type of host key or to rotate host keys. The initial information message from the server is sent as a global request, but with want_reply set to false. This means that the server doesn't expect an answer to this message. Instead the client needs to send a prove request as a reply if it wants to receive proof of ownership for the host keys. The bug doesn't cause any current problems with due to how OpenSSH treats receiving the failure message. It instead treats it as a keepalive message and further ignores it. Arguably this is a protocol violation though of Dropbear and it is only accidental that it doesn't cause a problem with OpenSSH. The bug was found when adding host keys support to libssh, which is more strict protocol wise and treats the unexpected failure message an error, also see https://gitlab.com/libssh/libssh-mirror/-/merge_requests/145 for more information. The fix here is to honor the want_reply flag in the global request and to only send a reply if the other side expects a reply.
author Dirkjan Bussink <d.bussink@gmail.com>
date Thu, 10 Dec 2020 16:13:13 +0100
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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1 #include "tommath_private.h"
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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2 #ifdef BN_S_MP_TOOM_SQR_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
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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6 /* squaring using Toom-Cook 3-way algorithm */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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7
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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8 /*
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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9 This file contains code from J. Arndt's book "Matters Computational"
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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10 and the accompanying FXT-library with permission of the author.
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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11 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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12
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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13 /* squaring using Toom-Cook 3-way algorithm */
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diff changeset
14 /*
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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15 Setup and interpolation from algorithm SQR_3 in
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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16
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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17 Chung, Jaewook, and M. Anwar Hasan. "Asymmetric squaring formulae."
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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18 18th IEEE Symposium on Computer Arithmetic (ARITH'07). IEEE, 2007.
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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19
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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20 */
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21 mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b)
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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22 {
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23 mp_int S0, a0, a1, a2;
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24 mp_digit *tmpa, *tmpc;
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25 int B, count;
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26 mp_err err;
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27
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28
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29 /* init temps */
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30 if ((err = mp_init(&S0)) != MP_OKAY) {
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31 return err;
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32 }
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33
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34 /* B */
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35 B = a->used / 3;
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36
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37 /** a = a2 * x^2 + a1 * x + a0; */
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38 if ((err = mp_init_size(&a0, B)) != MP_OKAY) goto LBL_ERRa0;
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39
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40 a0.used = B;
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41 if ((err = mp_init_size(&a1, B)) != MP_OKAY) goto LBL_ERRa1;
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42 a1.used = B;
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43 if ((err = mp_init_size(&a2, B + (a->used - (3 * B)))) != MP_OKAY) goto LBL_ERRa2;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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44
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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45 tmpa = a->dp;
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46 tmpc = a0.dp;
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47 for (count = 0; count < B; count++) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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48 *tmpc++ = *tmpa++;
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49 }
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50 tmpc = a1.dp;
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51 for (; count < (2 * B); count++) {
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52 *tmpc++ = *tmpa++;
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53 }
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54 tmpc = a2.dp;
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55 for (; count < a->used; count++) {
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56 *tmpc++ = *tmpa++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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57 a2.used++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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58 }
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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59 mp_clamp(&a0);
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60 mp_clamp(&a1);
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61 mp_clamp(&a2);
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62
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63 /** S0 = a0^2; */
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64 if ((err = mp_sqr(&a0, &S0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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65
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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66 /** \\S1 = (a2 + a1 + a0)^2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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parents:
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67 /** \\S2 = (a2 - a1 + a0)^2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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68 /** \\S1 = a0 + a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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69 /** a0 = a0 + a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
70 if ((err = mp_add(&a0, &a2, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
71 /** \\S2 = S1 - a1; */
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72 /** b = a0 - a1; */
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diff changeset
73 if ((err = mp_sub(&a0, &a1, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
74 /** \\S1 = S1 + a1; */
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75 /** a0 = a0 + a1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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76 if ((err = mp_add(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
77 /** \\S1 = S1^2; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
78 /** a0 = a0^2; */
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Steffen Jaeckel <s@jaeckel.eu>
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79 if ((err = mp_sqr(&a0, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
80 /** \\S2 = S2^2; */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
81 /** b = b^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
82 if ((err = mp_sqr(b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
83
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
84 /** \\ S3 = 2 * a1 * a2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
85 /** \\S3 = a1 * a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
86 /** a1 = a1 * a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
87 if ((err = mp_mul(&a1, &a2, &a1)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
88 /** \\S3 = S3 << 1; */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
89 /** a1 = a1 << 1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
90 if ((err = mp_mul_2(&a1, &a1)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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91
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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92 /** \\S4 = a2^2; */
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diff changeset
93 /** a2 = a2^2; */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
94 if ((err = mp_sqr(&a2, &a2)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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diff changeset
95
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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96 /** \\ tmp = (S1 + S2)/2 */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
97 /** \\tmp = S1 + S2; */
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diff changeset
98 /** b = a0 + b; */
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diff changeset
99 if ((err = mp_add(&a0, b, b)) != MP_OKAY) goto LBL_ERR;
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
100 /** \\tmp = tmp >> 1; */
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diff changeset
101 /** b = b >> 1; */
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Steffen Jaeckel <s@jaeckel.eu>
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102 if ((err = mp_div_2(b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
103
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
104 /** \\ S1 = S1 - tmp - S3 */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
105 /** \\S1 = S1 - tmp; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
106 /** a0 = a0 - b; */
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parents:
diff changeset
107 if ((err = mp_sub(&a0, b, &a0)) != MP_OKAY) goto LBL_ERR;
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parents:
diff changeset
108 /** \\S1 = S1 - S3; */
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parents:
diff changeset
109 /** a0 = a0 - a1; */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
110 if ((err = mp_sub(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
111
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
112 /** \\S2 = tmp - S4 -S0 */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
113 /** \\S2 = tmp - S4; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
114 /** b = b - a2; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
115 if ((err = mp_sub(b, &a2, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
116 /** \\S2 = S2 - S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
117 /** b = b - S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
118 if ((err = mp_sub(b, &S0, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
119
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
120
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121 /** \\P = S4*x^4 + S3*x^3 + S2*x^2 + S1*x + S0; */
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122 /** P = a2*x^4 + a1*x^3 + b*x^2 + a0*x + S0; */
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123
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124 if ((err = mp_lshd(&a2, 4 * B)) != MP_OKAY) goto LBL_ERR;
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125 if ((err = mp_lshd(&a1, 3 * B)) != MP_OKAY) goto LBL_ERR;
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126 if ((err = mp_lshd(b, 2 * B)) != MP_OKAY) goto LBL_ERR;
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127 if ((err = mp_lshd(&a0, 1 * B)) != MP_OKAY) goto LBL_ERR;
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128 if ((err = mp_add(&a2, &a1, &a2)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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129 if ((err = mp_add(&a2, b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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130 if ((err = mp_add(b, &a0, b)) != MP_OKAY) goto LBL_ERR;
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131 if ((err = mp_add(b, &S0, b)) != MP_OKAY) goto LBL_ERR;
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132 /** a^2 - P */
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133
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134
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135 LBL_ERR:
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136 mp_clear(&a2);
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137 LBL_ERRa2:
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138 mp_clear(&a1);
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139 LBL_ERRa1:
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140 mp_clear(&a0);
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141 LBL_ERRa0:
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142 mp_clear(&S0);
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143
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144 return err;
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145 }
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146
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147 #endif