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annotate libtommath/bn_mp_kronecker.c @ 1930:299f4f19ba19

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Add /usr/sbin and /sbin to default root PATH When dropbear is used in a very restricted environment (such as in a initrd), the default user shell is often also very restricted and doesn't take care of setting the PATH so the user ends up with the PATH set by dropbear. Unfortunately, dropbear always sets "/usr/bin:/bin" as default PATH even for the root user which should have /usr/sbin and /sbin too. For a concrete instance of this problem, see the "Remote Unlocking" section in this tutorial: https://paxswill.com/blog/2013/11/04/encrypted-raspberry-pi/ It speaks of a bug in the initramfs script because it's written "blkid" instead of "/sbin/blkid"... this is just because the scripts from the initramfs do not expect to have a PATH without the sbin directories and because dropbear is not setting the PATH appropriately for the root user. I'm thus suggesting to use the attached patch to fix this misbehaviour (I did not test it, but it's easy enough). It might seem anecdotic but multiple Kali users have been bitten by this. From https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=903403
author Raphael Hertzog <hertzog@debian.org>
date Mon, 09 Jul 2018 16:27:53 +0200
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 #include "tommath_private.h"
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2 #ifdef BN_MP_KRONECKER_C
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3
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4 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
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5 /* SPDX-License-Identifier: Unlicense */
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6
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7 /*
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8 Kronecker symbol (a|p)
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9 Straightforward implementation of algorithm 1.4.10 in
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10 Henri Cohen: "A Course in Computational Algebraic Number Theory"
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11
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12 @book{cohen2013course,
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13 title={A course in computational algebraic number theory},
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14 author={Cohen, Henri},
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15 volume={138},
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16 year={2013},
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17 publisher={Springer Science \& Business Media}
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18 }
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19 */
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20 mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c)
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21 {
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22 mp_int a1, p1, r;
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23 mp_err err;
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24 int v, k;
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25
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26 static const int table[8] = {0, 1, 0, -1, 0, -1, 0, 1};
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27
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28 if (MP_IS_ZERO(p)) {
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29 if ((a->used == 1) && (a->dp[0] == 1u)) {
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30 *c = 1;
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31 } else {
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32 *c = 0;
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33 }
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34 return MP_OKAY;
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35 }
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36
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37 if (MP_IS_EVEN(a) && MP_IS_EVEN(p)) {
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38 *c = 0;
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39 return MP_OKAY;
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40 }
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41
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42 if ((err = mp_init_copy(&a1, a)) != MP_OKAY) {
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43 return err;
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44 }
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45 if ((err = mp_init_copy(&p1, p)) != MP_OKAY) {
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46 goto LBL_KRON_0;
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47 }
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48
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49 v = mp_cnt_lsb(&p1);
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50 if ((err = mp_div_2d(&p1, v, &p1, NULL)) != MP_OKAY) {
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51 goto LBL_KRON_1;
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52 }
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53
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54 if ((v & 1) == 0) {
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55 k = 1;
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56 } else {
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57 k = table[a->dp[0] & 7u];
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58 }
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59
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60 if (p1.sign == MP_NEG) {
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61 p1.sign = MP_ZPOS;
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62 if (a1.sign == MP_NEG) {
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63 k = -k;
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64 }
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65 }
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66
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67 if ((err = mp_init(&r)) != MP_OKAY) {
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68 goto LBL_KRON_1;
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69 }
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70
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71 for (;;) {
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72 if (MP_IS_ZERO(&a1)) {
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73 if (mp_cmp_d(&p1, 1uL) == MP_EQ) {
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74 *c = k;
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75 goto LBL_KRON;
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76 } else {
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77 *c = 0;
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78 goto LBL_KRON;
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79 }
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80 }
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81
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82 v = mp_cnt_lsb(&a1);
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83 if ((err = mp_div_2d(&a1, v, &a1, NULL)) != MP_OKAY) {
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84 goto LBL_KRON;
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85 }
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86
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87 if ((v & 1) == 1) {
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88 k = k * table[p1.dp[0] & 7u];
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89 }
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90
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91 if (a1.sign == MP_NEG) {
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92 /*
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93 * Compute k = (-1)^((a1)*(p1-1)/4) * k
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94 * a1.dp[0] + 1 cannot overflow because the MSB
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95 * of the type mp_digit is not set by definition
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96 */
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97 if (((a1.dp[0] + 1u) & p1.dp[0] & 2u) != 0u) {
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98 k = -k;
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99 }
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100 } else {
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101 /* compute k = (-1)^((a1-1)*(p1-1)/4) * k */
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102 if ((a1.dp[0] & p1.dp[0] & 2u) != 0u) {
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103 k = -k;
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104 }
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105 }
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106
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parents: 1655
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107 if ((err = mp_copy(&a1, &r)) != MP_OKAY) {
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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108 goto LBL_KRON;
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parents:
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109 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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110 r.sign = MP_ZPOS;
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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parents: 1655
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111 if ((err = mp_mod(&p1, &r, &a1)) != MP_OKAY) {
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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112 goto LBL_KRON;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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113 }
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1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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parents: 1655
diff changeset
114 if ((err = mp_copy(&r, &p1)) != MP_OKAY) {
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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115 goto LBL_KRON;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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116 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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117 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
diff changeset
118
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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119 LBL_KRON:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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120 mp_clear(&r);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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121 LBL_KRON_1:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
diff changeset
122 mp_clear(&p1);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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123 LBL_KRON_0:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
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124 mp_clear(&a1);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents:
diff changeset
125
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parents: 1655
diff changeset
126 return err;
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parents:
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127 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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128
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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129 #endif