Mercurial > trustbridge > nss-cmake-static

annotate nss/lib/freebl/ecl/ecp_aff.c @ 4:b513267f632f tip

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Build DBM module
author Andre Heinecke <andre.heinecke@intevation.de>
date Tue, 05 Aug 2014 18:58:03 +0200
parents 1e5118fa0cb1
children
rev   line source
0
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
1 /* This Source Code Form is subject to the terms of the Mozilla Public
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
2 * License, v. 2.0. If a copy of the MPL was not distributed with this
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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4
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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5 #include "ecp.h"
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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6 #include "mplogic.h"
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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7 #include <stdlib.h>
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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8
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
9 /* Checks if point P(px, py) is at infinity. Uses affine coordinates. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
10 mp_err
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
11 ec_GFp_pt_is_inf_aff(const mp_int *px, const mp_int *py)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
12 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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13
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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14 if ((mp_cmp_z(px) == 0) && (mp_cmp_z(py) == 0)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
15 return MP_YES;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
16 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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17 return MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
18 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
19
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
20 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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21
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
22 /* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
23 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
24 ec_GFp_pt_set_inf_aff(mp_int *px, mp_int *py)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
25 {
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Andre Heinecke <andre.heinecke@intevation.de>
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26 mp_zero(px);
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Andre Heinecke <andre.heinecke@intevation.de>
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27 mp_zero(py);
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Andre Heinecke <andre.heinecke@intevation.de>
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28 return MP_OKAY;
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Andre Heinecke <andre.heinecke@intevation.de>
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29 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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30
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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31 /* Computes R = P + Q based on IEEE P1363 A.10.1. Elliptic curve points P,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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parents:
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32 * Q, and R can all be identical. Uses affine coordinates. Assumes input
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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33 * is already field-encoded using field_enc, and returns output that is
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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34 * still field-encoded. */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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35 mp_err
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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36 ec_GFp_pt_add_aff(const mp_int *px, const mp_int *py, const mp_int *qx,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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37 const mp_int *qy, mp_int *rx, mp_int *ry,
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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38 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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39 {
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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40 mp_err res = MP_OKAY;
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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41 mp_int lambda, temp, tempx, tempy;
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42
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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43 MP_DIGITS(&lambda) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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44 MP_DIGITS(&temp) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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45 MP_DIGITS(&tempx) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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46 MP_DIGITS(&tempy) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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47 MP_CHECKOK(mp_init(&lambda));
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Andre Heinecke <andre.heinecke@intevation.de>
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48 MP_CHECKOK(mp_init(&temp));
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Andre Heinecke <andre.heinecke@intevation.de>
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49 MP_CHECKOK(mp_init(&tempx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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50 MP_CHECKOK(mp_init(&tempy));
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51 /* if P = inf, then R = Q */
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Andre Heinecke <andre.heinecke@intevation.de>
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52 if (ec_GFp_pt_is_inf_aff(px, py) == 0) {
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Andre Heinecke <andre.heinecke@intevation.de>
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53 MP_CHECKOK(mp_copy(qx, rx));
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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54 MP_CHECKOK(mp_copy(qy, ry));
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Andre Heinecke <andre.heinecke@intevation.de>
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55 res = MP_OKAY;
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Andre Heinecke <andre.heinecke@intevation.de>
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56 goto CLEANUP;
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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57 }
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Andre Heinecke <andre.heinecke@intevation.de>
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58 /* if Q = inf, then R = P */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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59 if (ec_GFp_pt_is_inf_aff(qx, qy) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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60 MP_CHECKOK(mp_copy(px, rx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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61 MP_CHECKOK(mp_copy(py, ry));
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62 res = MP_OKAY;
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parents:
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63 goto CLEANUP;
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parents:
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64 }
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Andre Heinecke <andre.heinecke@intevation.de>
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65 /* if px != qx, then lambda = (py-qy) / (px-qx) */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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66 if (mp_cmp(px, qx) != 0) {
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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67 MP_CHECKOK(group->meth->field_sub(py, qy, &tempy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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68 MP_CHECKOK(group->meth->field_sub(px, qx, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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69 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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70 field_div(&tempy, &tempx, &lambda, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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71 } else {
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
72 /* if py != qy or qy = 0, then R = inf */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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73 if (((mp_cmp(py, qy) != 0)) || (mp_cmp_z(qy) == 0)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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74 mp_zero(rx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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75 mp_zero(ry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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76 res = MP_OKAY;
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Andre Heinecke <andre.heinecke@intevation.de>
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77 goto CLEANUP;
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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78 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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diff changeset
79 /* lambda = (3qx^2+a) / (2qy) */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
80 MP_CHECKOK(group->meth->field_sqr(qx, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
81 MP_CHECKOK(mp_set_int(&temp, 3));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
82 if (group->meth->field_enc) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
83 MP_CHECKOK(group->meth->field_enc(&temp, &temp, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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84 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
85 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
86 field_mul(&tempx, &temp, &tempx, group->meth));
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
87 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
88 field_add(&tempx, &group->curvea, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
89 MP_CHECKOK(mp_set_int(&temp, 2));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
90 if (group->meth->field_enc) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
91 MP_CHECKOK(group->meth->field_enc(&temp, &temp, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
92 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
93 MP_CHECKOK(group->meth->field_mul(qy, &temp, &tempy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
94 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
95 field_div(&tempx, &tempy, &lambda, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
96 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
97 /* rx = lambda^2 - px - qx */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
98 MP_CHECKOK(group->meth->field_sqr(&lambda, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
99 MP_CHECKOK(group->meth->field_sub(&tempx, px, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
100 MP_CHECKOK(group->meth->field_sub(&tempx, qx, &tempx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
101 /* ry = (x1-x2) * lambda - y1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
102 MP_CHECKOK(group->meth->field_sub(qx, &tempx, &tempy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
103 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
104 field_mul(&tempy, &lambda, &tempy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
105 MP_CHECKOK(group->meth->field_sub(&tempy, qy, &tempy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
106 MP_CHECKOK(mp_copy(&tempx, rx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
107 MP_CHECKOK(mp_copy(&tempy, ry));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
108
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
109 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
110 mp_clear(&lambda);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
111 mp_clear(&temp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
112 mp_clear(&tempx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
113 mp_clear(&tempy);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
114 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
115 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
116
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
117 /* Computes R = P - Q. Elliptic curve points P, Q, and R can all be
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
118 * identical. Uses affine coordinates. Assumes input is already
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
119 * field-encoded using field_enc, and returns output that is still
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
120 * field-encoded. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
121 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
122 ec_GFp_pt_sub_aff(const mp_int *px, const mp_int *py, const mp_int *qx,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
123 const mp_int *qy, mp_int *rx, mp_int *ry,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
124 const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
125 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
126 mp_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
127 mp_int nqy;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
128
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
129 MP_DIGITS(&nqy) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
130 MP_CHECKOK(mp_init(&nqy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
131 /* nqy = -qy */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
132 MP_CHECKOK(group->meth->field_neg(qy, &nqy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
133 res = group->point_add(px, py, qx, &nqy, rx, ry, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
134 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
135 mp_clear(&nqy);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
136 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
137 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
138
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
139 /* Computes R = 2P. Elliptic curve points P and R can be identical. Uses
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
140 * affine coordinates. Assumes input is already field-encoded using
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
141 * field_enc, and returns output that is still field-encoded. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
142 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
143 ec_GFp_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
144 mp_int *ry, const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
145 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
146 return ec_GFp_pt_add_aff(px, py, px, py, rx, ry, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
147 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
148
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
149 /* by default, this routine is unused and thus doesn't need to be compiled */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
150 #ifdef ECL_ENABLE_GFP_PT_MUL_AFF
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
151 /* Computes R = nP based on IEEE P1363 A.10.3. Elliptic curve points P and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
152 * R can be identical. Uses affine coordinates. Assumes input is already
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
153 * field-encoded using field_enc, and returns output that is still
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
154 * field-encoded. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
155 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
156 ec_GFp_pt_mul_aff(const mp_int *n, const mp_int *px, const mp_int *py,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
157 mp_int *rx, mp_int *ry, const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
158 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
159 mp_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
160 mp_int k, k3, qx, qy, sx, sy;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
161 int b1, b3, i, l;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
162
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
163 MP_DIGITS(&k) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
164 MP_DIGITS(&k3) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
165 MP_DIGITS(&qx) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
166 MP_DIGITS(&qy) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
167 MP_DIGITS(&sx) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
168 MP_DIGITS(&sy) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
169 MP_CHECKOK(mp_init(&k));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
170 MP_CHECKOK(mp_init(&k3));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
171 MP_CHECKOK(mp_init(&qx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
172 MP_CHECKOK(mp_init(&qy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
173 MP_CHECKOK(mp_init(&sx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
174 MP_CHECKOK(mp_init(&sy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
175
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
176 /* if n = 0 then r = inf */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
177 if (mp_cmp_z(n) == 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
178 mp_zero(rx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
179 mp_zero(ry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
180 res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
181 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
182 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
183 /* Q = P, k = n */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
184 MP_CHECKOK(mp_copy(px, &qx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
185 MP_CHECKOK(mp_copy(py, &qy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
186 MP_CHECKOK(mp_copy(n, &k));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
187 /* if n < 0 then Q = -Q, k = -k */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
188 if (mp_cmp_z(n) < 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
189 MP_CHECKOK(group->meth->field_neg(&qy, &qy, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
190 MP_CHECKOK(mp_neg(&k, &k));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
191 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
192 #ifdef ECL_DEBUG /* basic double and add method */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
193 l = mpl_significant_bits(&k) - 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
194 MP_CHECKOK(mp_copy(&qx, &sx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
195 MP_CHECKOK(mp_copy(&qy, &sy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
196 for (i = l - 1; i >= 0; i--) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
197 /* S = 2S */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
198 MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
199 /* if k_i = 1, then S = S + Q */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
200 if (mpl_get_bit(&k, i) != 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
201 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
202 point_add(&sx, &sy, &qx, &qy, &sx, &sy, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
203 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
204 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
205 #else /* double and add/subtract method from
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
206 * standard */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
207 /* k3 = 3 * k */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
208 MP_CHECKOK(mp_set_int(&k3, 3));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
209 MP_CHECKOK(mp_mul(&k, &k3, &k3));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
210 /* S = Q */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
211 MP_CHECKOK(mp_copy(&qx, &sx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
212 MP_CHECKOK(mp_copy(&qy, &sy));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
213 /* l = index of high order bit in binary representation of 3*k */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
214 l = mpl_significant_bits(&k3) - 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
215 /* for i = l-1 downto 1 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
216 for (i = l - 1; i >= 1; i--) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
217 /* S = 2S */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
218 MP_CHECKOK(group->point_dbl(&sx, &sy, &sx, &sy, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
219 b3 = MP_GET_BIT(&k3, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
220 b1 = MP_GET_BIT(&k, i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
221 /* if k3_i = 1 and k_i = 0, then S = S + Q */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
222 if ((b3 == 1) && (b1 == 0)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
223 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
224 point_add(&sx, &sy, &qx, &qy, &sx, &sy, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
225 /* if k3_i = 0 and k_i = 1, then S = S - Q */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
226 } else if ((b3 == 0) && (b1 == 1)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
227 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
228 point_sub(&sx, &sy, &qx, &qy, &sx, &sy, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
229 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
230 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
231 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
232 /* output S */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
233 MP_CHECKOK(mp_copy(&sx, rx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
234 MP_CHECKOK(mp_copy(&sy, ry));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
235
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
236 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
237 mp_clear(&k);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
238 mp_clear(&k3);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
239 mp_clear(&qx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
240 mp_clear(&qy);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
241 mp_clear(&sx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
242 mp_clear(&sy);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
243 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
244 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
245 #endif
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
246
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
247 /* Validates a point on a GFp curve. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
248 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
249 ec_GFp_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
250 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
251 mp_err res = MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
252 mp_int accl, accr, tmp, pxt, pyt;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
253
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
254 MP_DIGITS(&accl) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
255 MP_DIGITS(&accr) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
256 MP_DIGITS(&tmp) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
257 MP_DIGITS(&pxt) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
258 MP_DIGITS(&pyt) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
259 MP_CHECKOK(mp_init(&accl));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
260 MP_CHECKOK(mp_init(&accr));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
261 MP_CHECKOK(mp_init(&tmp));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
262 MP_CHECKOK(mp_init(&pxt));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
263 MP_CHECKOK(mp_init(&pyt));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
264
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
265 /* 1: Verify that publicValue is not the point at infinity */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
266 if (ec_GFp_pt_is_inf_aff(px, py) == MP_YES) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
267 res = MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
268 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
269 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
270 /* 2: Verify that the coordinates of publicValue are elements
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
271 * of the field.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
272 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
273 if ((MP_SIGN(px) == MP_NEG) || (mp_cmp(px, &group->meth->irr) >= 0) ||
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
274 (MP_SIGN(py) == MP_NEG) || (mp_cmp(py, &group->meth->irr) >= 0)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
275 res = MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
276 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
277 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
278 /* 3: Verify that publicValue is on the curve. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
279 if (group->meth->field_enc) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
280 group->meth->field_enc(px, &pxt, group->meth);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
281 group->meth->field_enc(py, &pyt, group->meth);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
282 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
283 mp_copy(px, &pxt);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
284 mp_copy(py, &pyt);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
285 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
286 /* left-hand side: y^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
287 MP_CHECKOK( group->meth->field_sqr(&pyt, &accl, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
288 /* right-hand side: x^3 + a*x + b = (x^2 + a)*x + b by Horner's rule */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
289 MP_CHECKOK( group->meth->field_sqr(&pxt, &tmp, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
290 MP_CHECKOK( group->meth->field_add(&tmp, &group->curvea, &tmp, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
291 MP_CHECKOK( group->meth->field_mul(&tmp, &pxt, &accr, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
292 MP_CHECKOK( group->meth->field_add(&accr, &group->curveb, &accr, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
293 /* check LHS - RHS == 0 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
294 MP_CHECKOK( group->meth->field_sub(&accl, &accr, &accr, group->meth) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
295 if (mp_cmp_z(&accr) != 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
296 res = MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
297 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
298 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
299 /* 4: Verify that the order of the curve times the publicValue
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
300 * is the point at infinity.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
301 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
302 MP_CHECKOK( ECPoint_mul(group, &group->order, px, py, &pxt, &pyt) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
303 if (ec_GFp_pt_is_inf_aff(&pxt, &pyt) != MP_YES) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
304 res = MP_NO;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
305 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
306 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
307
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
308 res = MP_YES;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
309
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
310 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
311 mp_clear(&accl);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
312 mp_clear(&accr);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
313 mp_clear(&tmp);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
314 mp_clear(&pxt);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
315 mp_clear(&pyt);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
316 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
317 }
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