Mercurial > dropbear
annotate libtommath/bn_mp_exteuclid.c @ 1697:789466c5956b
set up early logging name
author | Matt Johnston <matt@ucc.asn.au> |
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date | Thu, 28 May 2020 22:02:33 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_EXTEUCLID_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 |
1436 | 6 /* Extended euclidean algorithm of (a, b) produces |
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7 a*u1 + b*u2 = u3 |
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8 */ |
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9 mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) |
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10 { |
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11 mp_int u1, u2, u3, v1, v2, v3, t1, t2, t3, q, tmp; |
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12 mp_err err; |
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13 |
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14 if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { |
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15 return err; |
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16 } |
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17 |
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18 /* initialize, (u1,u2,u3) = (1,0,a) */ |
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19 mp_set(&u1, 1uL); |
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20 if ((err = mp_copy(a, &u3)) != MP_OKAY) goto LBL_ERR; |
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21 |
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22 /* initialize, (v1,v2,v3) = (0,1,b) */ |
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23 mp_set(&v2, 1uL); |
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24 if ((err = mp_copy(b, &v3)) != MP_OKAY) goto LBL_ERR; |
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25 |
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26 /* loop while v3 != 0 */ |
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27 while (!MP_IS_ZERO(&v3)) { |
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28 /* q = u3/v3 */ |
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29 if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) goto LBL_ERR; |
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30 |
1655
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31 /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ |
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32 if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) goto LBL_ERR; |
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33 if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) goto LBL_ERR; |
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34 if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) goto LBL_ERR; |
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35 if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) goto LBL_ERR; |
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36 if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) goto LBL_ERR; |
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37 if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) goto LBL_ERR; |
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38 |
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39 /* (u1,u2,u3) = (v1,v2,v3) */ |
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40 if ((err = mp_copy(&v1, &u1)) != MP_OKAY) goto LBL_ERR; |
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41 if ((err = mp_copy(&v2, &u2)) != MP_OKAY) goto LBL_ERR; |
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42 if ((err = mp_copy(&v3, &u3)) != MP_OKAY) goto LBL_ERR; |
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43 |
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44 /* (v1,v2,v3) = (t1,t2,t3) */ |
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45 if ((err = mp_copy(&t1, &v1)) != MP_OKAY) goto LBL_ERR; |
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46 if ((err = mp_copy(&t2, &v2)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
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47 if ((err = mp_copy(&t3, &v3)) != MP_OKAY) goto LBL_ERR; |
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48 } |
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49 |
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50 /* make sure U3 >= 0 */ |
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51 if (u3.sign == MP_NEG) { |
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52 if ((err = mp_neg(&u1, &u1)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
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53 if ((err = mp_neg(&u2, &u2)) != MP_OKAY) goto LBL_ERR; |
1051e4eea25a
Update LibTomMath to 1.2.0 (#84)
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54 if ((err = mp_neg(&u3, &u3)) != MP_OKAY) goto LBL_ERR; |
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55 } |
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56 |
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57 /* copy result out */ |
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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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58 if (U1 != NULL) { |
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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59 mp_exch(U1, &u1); |
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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60 } |
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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61 if (U2 != NULL) { |
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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62 mp_exch(U2, &u2); |
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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63 } |
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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64 if (U3 != NULL) { |
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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diff
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65 mp_exch(U3, &u3); |
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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66 } |
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67 |
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68 err = MP_OKAY; |
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69 LBL_ERR: |
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70 mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); |
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71 return err; |
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72 } |
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73 #endif |