Mercurial > dropbear
annotate libtommath/bn_mp_sqrt.c @ 1843:03dfecca99bd
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author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 18 Oct 2021 23:25:20 +0800 |
parents | 1051e4eea25a |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_SQRT_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 /* this function is less generic than mp_n_root, simpler and faster */ |
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7 mp_err mp_sqrt(const mp_int *arg, mp_int *ret) |
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8 { |
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9 mp_err err; |
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10 mp_int t1, t2; |
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11 |
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12 /* must be positive */ |
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13 if (arg->sign == MP_NEG) { |
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14 return MP_VAL; |
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15 } |
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16 |
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17 /* easy out */ |
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18 if (MP_IS_ZERO(arg)) { |
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19 mp_zero(ret); |
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20 return MP_OKAY; |
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21 } |
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22 |
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23 if ((err = mp_init_copy(&t1, arg)) != MP_OKAY) { |
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24 return err; |
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25 } |
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26 |
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27 if ((err = mp_init(&t2)) != MP_OKAY) { |
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28 goto E2; |
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29 } |
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30 |
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31 /* First approx. (not very bad for large arg) */ |
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32 mp_rshd(&t1, t1.used/2); |
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33 |
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34 /* t1 > 0 */ |
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35 if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { |
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36 goto E1; |
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37 } |
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38 if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) { |
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39 goto E1; |
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40 } |
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41 if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) { |
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42 goto E1; |
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43 } |
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44 /* And now t1 > sqrt(arg) */ |
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45 do { |
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46 if ((err = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) { |
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47 goto E1; |
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48 } |
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49 if ((err = mp_add(&t1, &t2, &t1)) != MP_OKAY) { |
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50 goto E1; |
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parents:
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51 } |
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52 if ((err = mp_div_2(&t1, &t1)) != MP_OKAY) { |
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53 goto E1; |
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parents:
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54 } |
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55 /* t1 >= sqrt(arg) >= t2 at this point */ |
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56 } while (mp_cmp_mag(&t1, &t2) == MP_GT); |
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57 |
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58 mp_exch(&t1, ret); |
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59 |
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60 E1: |
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61 mp_clear(&t2); |
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62 E2: |
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63 mp_clear(&t1); |
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64 return err; |
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65 } |
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66 |
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67 #endif |