Mercurial > dropbear
annotate libtommath/bn_s_mp_toom_sqr.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> |
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date | Sun, 30 Jan 2022 10:14:56 +0800 |
parents | 1051e4eea25a |
children |
rev | line source |
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1692
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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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 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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4 /* SPDX-License-Identifier: Unlicense */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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5 |
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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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parents:
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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 */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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14 /* |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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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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parents:
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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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Update LibTomMath to 1.2.0 (#84)
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21 mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b) |
1051e4eea25a
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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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Update LibTomMath to 1.2.0 (#84)
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25 int B, count; |
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26 mp_err err; |
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27 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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28 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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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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Update LibTomMath to 1.2.0 (#84)
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37 /** a = a2 * x^2 + a1 * x + a0; */ |
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Update LibTomMath to 1.2.0 (#84)
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38 if ((err = mp_init_size(&a0, B)) != MP_OKAY) goto LBL_ERRa0; |
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Update LibTomMath to 1.2.0 (#84)
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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; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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42 a1.used = B; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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43 if ((err = mp_init_size(&a2, B + (a->used - (3 * B)))) != MP_OKAY) goto LBL_ERRa2; |
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44 |
1051e4eea25a
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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++) { |
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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++) { |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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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++; |
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57 a2.used++; |
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58 } |
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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 |
1051e4eea25a
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63 /** S0 = a0^2; */ |
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64 if ((err = mp_sqr(&a0, &S0)) != MP_OKAY) goto LBL_ERR; |
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Update LibTomMath to 1.2.0 (#84)
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65 |
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66 /** \\S1 = (a2 + a1 + a0)^2 */ |
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67 /** \\S2 = (a2 - a1 + a0)^2 */ |
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Update LibTomMath to 1.2.0 (#84)
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68 /** \\S1 = a0 + a2; */ |
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69 /** a0 = a0 + a2; */ |
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70 if ((err = mp_add(&a0, &a2, &a0)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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71 /** \\S2 = S1 - a1; */ |
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Update LibTomMath to 1.2.0 (#84)
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72 /** b = a0 - a1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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73 if ((err = mp_sub(&a0, &a1, b)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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74 /** \\S1 = S1 + a1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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75 /** a0 = a0 + a1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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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)
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parents:
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77 /** \\S1 = S1^2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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78 /** a0 = a0^2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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79 if ((err = mp_sqr(&a0, &a0)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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80 /** \\S2 = S2^2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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81 /** b = b^2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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82 if ((err = mp_sqr(b, b)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
diff
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83 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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84 /** \\ S3 = 2 * a1 * a2 */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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85 /** \\S3 = a1 * a2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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86 /** a1 = a1 * a2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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87 if ((err = mp_mul(&a1, &a2, &a1)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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88 /** \\S3 = S3 << 1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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89 /** a1 = a1 << 1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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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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parents:
diff
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91 |
1051e4eea25a
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parents:
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92 /** \\S4 = a2^2; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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93 /** a2 = a2^2; */ |
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Update LibTomMath to 1.2.0 (#84)
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94 if ((err = mp_sqr(&a2, &a2)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
diff
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|
95 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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96 /** \\ tmp = (S1 + S2)/2 */ |
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parents:
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97 /** \\tmp = S1 + S2; */ |
1051e4eea25a
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98 /** b = a0 + b; */ |
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Update LibTomMath to 1.2.0 (#84)
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parents:
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99 if ((err = mp_add(&a0, b, b)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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100 /** \\tmp = tmp >> 1; */ |
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Update LibTomMath to 1.2.0 (#84)
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101 /** b = b >> 1; */ |
1051e4eea25a
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parents:
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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)
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parents:
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103 |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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104 /** \\ S1 = S1 - tmp - S3 */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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105 /** \\S1 = S1 - tmp; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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106 /** a0 = a0 - b; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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107 if ((err = mp_sub(&a0, b, &a0)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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108 /** \\S1 = S1 - S3; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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parents:
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109 /** a0 = a0 - a1; */ |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
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110 if ((err = mp_sub(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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111 |
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112 /** \\S2 = tmp - S4 -S0 */ |
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113 /** \\S2 = tmp - S4; */ |
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114 /** b = b - a2; */ |
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115 if ((err = mp_sub(b, &a2, b)) != MP_OKAY) goto LBL_ERR; |
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116 /** \\S2 = S2 - S0; */ |
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117 /** b = b - S0; */ |
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118 if ((err = mp_sub(b, &S0, b)) != MP_OKAY) goto LBL_ERR; |
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119 |
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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; |
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129 if ((err = mp_add(&a2, b, b)) != MP_OKAY) goto LBL_ERR; |
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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 |