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annotate nss/lib/freebl/ecl/ecl_mult.c @ 1:247cffdc9b89

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Add a pesodo config file for inlcude directories and library names
author Andre Heinecke <andre.heinecke@intevation.de>
date Mon, 28 Jul 2014 13:00:06 +0200
parents 1e5118fa0cb1
children
rev   line source
0
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1 /* This Source Code Form is subject to the terms of the Mozilla Public
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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4
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5 #include "mpi.h"
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6 #include "mplogic.h"
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7 #include "ecl.h"
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8 #include "ecl-priv.h"
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9 #include <stdlib.h>
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10
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11 /* Elliptic curve scalar-point multiplication. Computes R(x, y) = k * P(x,
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12 * y). If x, y = NULL, then P is assumed to be the generator (base point)
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13 * of the group of points on the elliptic curve. Input and output values
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14 * are assumed to be NOT field-encoded. */
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15 mp_err
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16 ECPoint_mul(const ECGroup *group, const mp_int *k, const mp_int *px,
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17 const mp_int *py, mp_int *rx, mp_int *ry)
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18 {
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19 mp_err res = MP_OKAY;
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20 mp_int kt;
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21
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22 ARGCHK((k != NULL) && (group != NULL), MP_BADARG);
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23 MP_DIGITS(&kt) = 0;
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24
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25 /* want scalar to be less than or equal to group order */
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26 if (mp_cmp(k, &group->order) > 0) {
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27 MP_CHECKOK(mp_init(&kt));
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28 MP_CHECKOK(mp_mod(k, &group->order, &kt));
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29 } else {
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30 MP_SIGN(&kt) = MP_ZPOS;
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31 MP_USED(&kt) = MP_USED(k);
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32 MP_ALLOC(&kt) = MP_ALLOC(k);
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33 MP_DIGITS(&kt) = MP_DIGITS(k);
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34 }
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35
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36 if ((px == NULL) || (py == NULL)) {
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37 if (group->base_point_mul) {
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38 MP_CHECKOK(group->base_point_mul(&kt, rx, ry, group));
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39 } else {
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40 MP_CHECKOK(group->
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41 point_mul(&kt, &group->genx, &group->geny, rx, ry,
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42 group));
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43 }
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44 } else {
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45 if (group->meth->field_enc) {
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46 MP_CHECKOK(group->meth->field_enc(px, rx, group->meth));
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47 MP_CHECKOK(group->meth->field_enc(py, ry, group->meth));
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48 MP_CHECKOK(group->point_mul(&kt, rx, ry, rx, ry, group));
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49 } else {
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50 MP_CHECKOK(group->point_mul(&kt, px, py, rx, ry, group));
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51 }
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52 }
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53 if (group->meth->field_dec) {
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54 MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
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55 MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
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56 }
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57
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58 CLEANUP:
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59 if (MP_DIGITS(&kt) != MP_DIGITS(k)) {
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60 mp_clear(&kt);
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61 }
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62 return res;
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63 }
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64
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65 /* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
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66 * k2 * P(x, y), where G is the generator (base point) of the group of
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67 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
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68 * Input and output values are assumed to be NOT field-encoded. */
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69 mp_err
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70 ec_pts_mul_basic(const mp_int *k1, const mp_int *k2, const mp_int *px,
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71 const mp_int *py, mp_int *rx, mp_int *ry,
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72 const ECGroup *group)
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73 {
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74 mp_err res = MP_OKAY;
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75 mp_int sx, sy;
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76
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77 ARGCHK(group != NULL, MP_BADARG);
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78 ARGCHK(!((k1 == NULL)
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79 && ((k2 == NULL) || (px == NULL)
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80 || (py == NULL))), MP_BADARG);
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81
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82 /* if some arguments are not defined used ECPoint_mul */
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83 if (k1 == NULL) {
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84 return ECPoint_mul(group, k2, px, py, rx, ry);
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85 } else if ((k2 == NULL) || (px == NULL) || (py == NULL)) {
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86 return ECPoint_mul(group, k1, NULL, NULL, rx, ry);
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87 }
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88
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89 MP_DIGITS(&sx) = 0;
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90 MP_DIGITS(&sy) = 0;
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91 MP_CHECKOK(mp_init(&sx));
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92 MP_CHECKOK(mp_init(&sy));
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93
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94 MP_CHECKOK(ECPoint_mul(group, k1, NULL, NULL, &sx, &sy));
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95 MP_CHECKOK(ECPoint_mul(group, k2, px, py, rx, ry));
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96
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97 if (group->meth->field_enc) {
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98 MP_CHECKOK(group->meth->field_enc(&sx, &sx, group->meth));
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99 MP_CHECKOK(group->meth->field_enc(&sy, &sy, group->meth));
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100 MP_CHECKOK(group->meth->field_enc(rx, rx, group->meth));
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101 MP_CHECKOK(group->meth->field_enc(ry, ry, group->meth));
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102 }
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103
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104 MP_CHECKOK(group->point_add(&sx, &sy, rx, ry, rx, ry, group));
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105
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106 if (group->meth->field_dec) {
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107 MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
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108 MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
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109 }
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110
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111 CLEANUP:
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112 mp_clear(&sx);
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113 mp_clear(&sy);
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114 return res;
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115 }
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116
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117 /* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
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118 * k2 * P(x, y), where G is the generator (base point) of the group of
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119 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
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120 * Input and output values are assumed to be NOT field-encoded. Uses
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121 * algorithm 15 (simultaneous multiple point multiplication) from Brown,
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122 * Hankerson, Lopez, Menezes. Software Implementation of the NIST
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123 * Elliptic Curves over Prime Fields. */
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124 mp_err
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diff changeset
125 ec_pts_mul_simul_w2(const mp_int *k1, const mp_int *k2, const mp_int *px,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
126 const mp_int *py, mp_int *rx, mp_int *ry,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
127 const ECGroup *group)
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_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
130 mp_int precomp[4][4][2];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
131 const mp_int *a, *b;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
132 int i, j;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
133 int ai, bi, d;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
134
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
135 ARGCHK(group != NULL, MP_BADARG);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
136 ARGCHK(!((k1 == NULL)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
137 && ((k2 == NULL) || (px == NULL)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
138 || (py == NULL))), MP_BADARG);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
139
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
140 /* if some arguments are not defined used ECPoint_mul */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
141 if (k1 == NULL) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
142 return ECPoint_mul(group, k2, px, py, rx, ry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
143 } else if ((k2 == NULL) || (px == NULL) || (py == NULL)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
144 return ECPoint_mul(group, k1, NULL, NULL, rx, ry);
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
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
147 /* initialize precomputation table */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
148 for (i = 0; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
149 for (j = 0; j < 4; j++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
150 MP_DIGITS(&precomp[i][j][0]) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
151 MP_DIGITS(&precomp[i][j][1]) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
152 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
153 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
154 for (i = 0; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
155 for (j = 0; j < 4; j++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
156 MP_CHECKOK( mp_init_size(&precomp[i][j][0],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
157 ECL_MAX_FIELD_SIZE_DIGITS) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
158 MP_CHECKOK( mp_init_size(&precomp[i][j][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
159 ECL_MAX_FIELD_SIZE_DIGITS) );
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
160 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
161 }
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 /* fill precomputation table */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
164 /* assign {k1, k2} = {a, b} such that len(a) >= len(b) */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
165 if (mpl_significant_bits(k1) < mpl_significant_bits(k2)) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
166 a = k2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
167 b = k1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
168 if (group->meth->field_enc) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
169 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
170 field_enc(px, &precomp[1][0][0], group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
171 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
172 field_enc(py, &precomp[1][0][1], group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
173 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
174 MP_CHECKOK(mp_copy(px, &precomp[1][0][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
175 MP_CHECKOK(mp_copy(py, &precomp[1][0][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
176 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
177 MP_CHECKOK(mp_copy(&group->genx, &precomp[0][1][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
178 MP_CHECKOK(mp_copy(&group->geny, &precomp[0][1][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
179 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
180 a = k1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
181 b = k2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
182 MP_CHECKOK(mp_copy(&group->genx, &precomp[1][0][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
183 MP_CHECKOK(mp_copy(&group->geny, &precomp[1][0][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
184 if (group->meth->field_enc) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
185 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
186 field_enc(px, &precomp[0][1][0], group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
187 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
188 field_enc(py, &precomp[0][1][1], group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
189 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
190 MP_CHECKOK(mp_copy(px, &precomp[0][1][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
191 MP_CHECKOK(mp_copy(py, &precomp[0][1][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
192 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
193 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
194 /* precompute [*][0][*] */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
195 mp_zero(&precomp[0][0][0]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
196 mp_zero(&precomp[0][0][1]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
197 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
198 point_dbl(&precomp[1][0][0], &precomp[1][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
199 &precomp[2][0][0], &precomp[2][0][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
200 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
201 point_add(&precomp[1][0][0], &precomp[1][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
202 &precomp[2][0][0], &precomp[2][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
203 &precomp[3][0][0], &precomp[3][0][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
204 /* precompute [*][1][*] */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
205 for (i = 1; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
206 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
207 point_add(&precomp[0][1][0], &precomp[0][1][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
208 &precomp[i][0][0], &precomp[i][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
209 &precomp[i][1][0], &precomp[i][1][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
210 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
211 /* precompute [*][2][*] */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
212 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
213 point_dbl(&precomp[0][1][0], &precomp[0][1][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
214 &precomp[0][2][0], &precomp[0][2][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
215 for (i = 1; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
216 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
217 point_add(&precomp[0][2][0], &precomp[0][2][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
218 &precomp[i][0][0], &precomp[i][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
219 &precomp[i][2][0], &precomp[i][2][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
220 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
221 /* precompute [*][3][*] */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
222 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
223 point_add(&precomp[0][1][0], &precomp[0][1][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
224 &precomp[0][2][0], &precomp[0][2][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
225 &precomp[0][3][0], &precomp[0][3][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
226 for (i = 1; i < 4; i++) {
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_add(&precomp[0][3][0], &precomp[0][3][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
229 &precomp[i][0][0], &precomp[i][0][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
230 &precomp[i][3][0], &precomp[i][3][1], group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
231 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
232
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
233 d = (mpl_significant_bits(a) + 1) / 2;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
234
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
235 /* R = inf */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
236 mp_zero(rx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
237 mp_zero(ry);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
238
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
239 for (i = d - 1; i >= 0; i--) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
240 ai = MP_GET_BIT(a, 2 * i + 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
241 ai <<= 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
242 ai |= MP_GET_BIT(a, 2 * i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
243 bi = MP_GET_BIT(b, 2 * i + 1);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
244 bi <<= 1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
245 bi |= MP_GET_BIT(b, 2 * i);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
246 /* R = 2^2 * R */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
247 MP_CHECKOK(group->point_dbl(rx, ry, rx, ry, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
248 MP_CHECKOK(group->point_dbl(rx, ry, rx, ry, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
249 /* R = R + (ai * A + bi * B) */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
250 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
251 point_add(rx, ry, &precomp[ai][bi][0],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
252 &precomp[ai][bi][1], rx, ry, group));
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
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
255 if (group->meth->field_dec) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
256 MP_CHECKOK(group->meth->field_dec(rx, rx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
257 MP_CHECKOK(group->meth->field_dec(ry, ry, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
258 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
259
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
260 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
261 for (i = 0; i < 4; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
262 for (j = 0; j < 4; j++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
263 mp_clear(&precomp[i][j][0]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
264 mp_clear(&precomp[i][j][1]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
265 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
266 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
267 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
268 }
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 /* Elliptic curve scalar-point multiplication. Computes R(x, y) = k1 * G +
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
271 * k2 * P(x, y), where G is the generator (base point) of the group of
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
272 * points on the elliptic curve. Allows k1 = NULL or { k2, P } = NULL.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
273 * Input and output values are assumed to be NOT field-encoded. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
274 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
275 ECPoints_mul(const ECGroup *group, const mp_int *k1, const mp_int *k2,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
276 const mp_int *px, const mp_int *py, mp_int *rx, mp_int *ry)
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 mp_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
279 mp_int k1t, k2t;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
280 const mp_int *k1p, *k2p;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
281
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
282 MP_DIGITS(&k1t) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
283 MP_DIGITS(&k2t) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
284
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
285 ARGCHK(group != NULL, MP_BADARG);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
286
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
287 /* want scalar to be less than or equal to group order */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
288 if (k1 != NULL) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
289 if (mp_cmp(k1, &group->order) >= 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
290 MP_CHECKOK(mp_init(&k1t));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
291 MP_CHECKOK(mp_mod(k1, &group->order, &k1t));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
292 k1p = &k1t;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
293 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
294 k1p = k1;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
295 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
296 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
297 k1p = k1;
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 if (k2 != NULL) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
300 if (mp_cmp(k2, &group->order) >= 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
301 MP_CHECKOK(mp_init(&k2t));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
302 MP_CHECKOK(mp_mod(k2, &group->order, &k2t));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
303 k2p = &k2t;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
304 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
305 k2p = k2;
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 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
308 k2p = k2;
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
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
311 /* if points_mul is defined, then use it */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
312 if (group->points_mul) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
313 res = group->points_mul(k1p, k2p, px, py, rx, ry, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
314 } else {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
315 res = ec_pts_mul_simul_w2(k1p, k2p, px, py, rx, ry, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
316 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
317
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
318 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
319 mp_clear(&k1t);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
320 mp_clear(&k2t);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
321 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
322 }
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