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annotate nss/lib/freebl/ecl/ecp_jm.c @ 0:1e5118fa0cb1

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This is NSS with a Cmake Buildsyste To compile a static NSS library for Windows we've used the Chromium-NSS fork and added a Cmake buildsystem to compile it statically for Windows. See README.chromium for chromium changes and README.trustbridge for our modifications.
author Andre Heinecke <andre.heinecke@intevation.de>
date Mon, 28 Jul 2014 10:47:06 +0200
parents
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
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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4
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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5 #include "ecp.h"
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6 #include "ecl-priv.h"
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7 #include "mplogic.h"
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8 #include <stdlib.h>
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9
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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10 #define MAX_SCRATCH 6
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11
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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12 /* 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>
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13 * Modified Jacobian coordinates.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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14 *
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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15 * Assumes input is already field-encoded using field_enc, and returns
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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16 * output that is still field-encoded.
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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17 *
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18 */
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19 mp_err
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20 ec_GFp_pt_dbl_jm(const mp_int *px, const mp_int *py, const mp_int *pz,
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21 const mp_int *paz4, mp_int *rx, mp_int *ry, mp_int *rz,
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22 mp_int *raz4, mp_int scratch[], const ECGroup *group)
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23 {
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24 mp_err res = MP_OKAY;
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25 mp_int *t0, *t1, *M, *S;
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26
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27 t0 = &scratch[0];
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28 t1 = &scratch[1];
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29 M = &scratch[2];
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30 S = &scratch[3];
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31
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32 #if MAX_SCRATCH < 4
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33 #error "Scratch array defined too small "
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34 #endif
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35
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36 /* Check for point at infinity */
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37 if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
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38 /* Set r = pt at infinity by setting rz = 0 */
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39
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40 MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz));
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41 goto CLEANUP;
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42 }
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43
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44 /* M = 3 (px^2) + a*(pz^4) */
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45 MP_CHECKOK(group->meth->field_sqr(px, t0, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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46 MP_CHECKOK(group->meth->field_add(t0, t0, M, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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47 MP_CHECKOK(group->meth->field_add(t0, M, t0, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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48 MP_CHECKOK(group->meth->field_add(t0, paz4, M, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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49
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50 /* rz = 2 * py * pz */
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51 MP_CHECKOK(group->meth->field_mul(py, pz, S, group->meth));
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52 MP_CHECKOK(group->meth->field_add(S, S, rz, group->meth));
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53
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54 /* t0 = 2y^2 , t1 = 8y^4 */
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55 MP_CHECKOK(group->meth->field_sqr(py, t0, group->meth));
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Andre Heinecke <andre.heinecke@intevation.de>
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56 MP_CHECKOK(group->meth->field_add(t0, t0, t0, group->meth));
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57 MP_CHECKOK(group->meth->field_sqr(t0, t1, group->meth));
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58 MP_CHECKOK(group->meth->field_add(t1, t1, t1, group->meth));
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59
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60 /* S = 4 * px * py^2 = 2 * px * t0 */
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61 MP_CHECKOK(group->meth->field_mul(px, t0, S, group->meth));
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62 MP_CHECKOK(group->meth->field_add(S, S, S, group->meth));
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63
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64
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65 /* rx = M^2 - 2S */
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66 MP_CHECKOK(group->meth->field_sqr(M, rx, group->meth));
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67 MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth));
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68 MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth));
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69
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70 /* ry = M * (S - rx) - t1 */
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71 MP_CHECKOK(group->meth->field_sub(S, rx, S, group->meth));
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72 MP_CHECKOK(group->meth->field_mul(S, M, ry, group->meth));
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73 MP_CHECKOK(group->meth->field_sub(ry, t1, ry, group->meth));
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74
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75 /* ra*z^4 = 2*t1*(apz4) */
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76 MP_CHECKOK(group->meth->field_mul(paz4, t1, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
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77 MP_CHECKOK(group->meth->field_add(raz4, raz4, raz4, group->meth));
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78
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79
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80 CLEANUP:
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81 return res;
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82 }
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83
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Andre Heinecke <andre.heinecke@intevation.de>
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84 /* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is
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85 * (qx, qy, 1). Elliptic curve points P, Q, and R can all be identical.
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86 * Uses mixed Modified_Jacobian-affine coordinates. Assumes input is
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87 * already field-encoded using field_enc, and returns output that is still
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88 * field-encoded. */
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89 mp_err
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90 ec_GFp_pt_add_jm_aff(const mp_int *px, const mp_int *py, const mp_int *pz,
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91 const mp_int *paz4, const mp_int *qx,
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92 const mp_int *qy, mp_int *rx, mp_int *ry, mp_int *rz,
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93 mp_int *raz4, mp_int scratch[], const ECGroup *group)
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94 {
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95 mp_err res = MP_OKAY;
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96 mp_int *A, *B, *C, *D, *C2, *C3;
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97
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98 A = &scratch[0];
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99 B = &scratch[1];
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100 C = &scratch[2];
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101 D = &scratch[3];
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102 C2 = &scratch[4];
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103 C3 = &scratch[5];
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104
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105 #if MAX_SCRATCH < 6
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106 #error "Scratch array defined too small "
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107 #endif
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108
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109 /* If either P or Q is the point at infinity, then return the other
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110 * point */
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111 if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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diff changeset
112 MP_CHECKOK(ec_GFp_pt_aff2jac(qx, qy, rx, ry, rz, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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113 MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
114 MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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115 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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116 field_mul(raz4, &group->curvea, raz4, group->meth));
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Andre Heinecke <andre.heinecke@intevation.de>
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117 goto CLEANUP;
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Andre Heinecke <andre.heinecke@intevation.de>
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118 }
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Andre Heinecke <andre.heinecke@intevation.de>
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119 if (ec_GFp_pt_is_inf_aff(qx, qy) == MP_YES) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
120 MP_CHECKOK(mp_copy(px, rx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
121 MP_CHECKOK(mp_copy(py, ry));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
122 MP_CHECKOK(mp_copy(pz, rz));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
123 MP_CHECKOK(mp_copy(paz4, raz4));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
124 goto CLEANUP;
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
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
127 /* A = qx * pz^2, B = qy * pz^3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
128 MP_CHECKOK(group->meth->field_sqr(pz, A, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
129 MP_CHECKOK(group->meth->field_mul(A, pz, B, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
130 MP_CHECKOK(group->meth->field_mul(A, qx, A, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
131 MP_CHECKOK(group->meth->field_mul(B, qy, B, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
132
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
133 /* C = A - px, D = B - py */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
134 MP_CHECKOK(group->meth->field_sub(A, px, C, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
135 MP_CHECKOK(group->meth->field_sub(B, py, D, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
136
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
137 /* C2 = C^2, C3 = C^3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
138 MP_CHECKOK(group->meth->field_sqr(C, C2, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
139 MP_CHECKOK(group->meth->field_mul(C, C2, C3, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
140
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
141 /* rz = pz * C */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
142 MP_CHECKOK(group->meth->field_mul(pz, C, rz, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
143
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
144 /* C = px * C^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
145 MP_CHECKOK(group->meth->field_mul(px, C2, C, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
146 /* A = D^2 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
147 MP_CHECKOK(group->meth->field_sqr(D, A, group->meth));
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 /* rx = D^2 - (C^3 + 2 * (px * C^2)) */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
150 MP_CHECKOK(group->meth->field_add(C, C, rx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
151 MP_CHECKOK(group->meth->field_add(C3, rx, rx, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
152 MP_CHECKOK(group->meth->field_sub(A, rx, rx, group->meth));
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 /* C3 = py * C^3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
155 MP_CHECKOK(group->meth->field_mul(py, C3, C3, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
156
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
157 /* ry = D * (px * C^2 - rx) - py * C^3 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
158 MP_CHECKOK(group->meth->field_sub(C, rx, ry, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
159 MP_CHECKOK(group->meth->field_mul(D, ry, ry, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
160 MP_CHECKOK(group->meth->field_sub(ry, C3, ry, group->meth));
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 /* raz4 = a * rz^4 */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
163 MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
164 MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
165 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
166 field_mul(raz4, &group->curvea, raz4, group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
167 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
168 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
169 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
170
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
171 /* Computes R = nP where R is (rx, ry) and P is the base point. Elliptic
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
172 * curve points P and R can be identical. Uses mixed Modified-Jacobian
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
173 * co-ordinates for doubling and Chudnovsky Jacobian coordinates for
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
174 * additions. Assumes input is already field-encoded using field_enc, and
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
175 * returns output that is still field-encoded. Uses 5-bit window NAF
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
176 * method (algorithm 11) for scalar-point multiplication from Brown,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
177 * Hankerson, Lopez, Menezes. Software Implementation of the NIST Elliptic
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
178 * Curves Over Prime Fields. */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
179 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
180 ec_GFp_pt_mul_jm_wNAF(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
181 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
182 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
183 mp_err res = MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
184 mp_int precomp[16][2], rz, tpx, tpy;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
185 mp_int raz4;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
186 mp_int scratch[MAX_SCRATCH];
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
187 signed char *naf = NULL;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
188 int i, orderBitSize;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
189
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
190 MP_DIGITS(&rz) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
191 MP_DIGITS(&raz4) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
192 MP_DIGITS(&tpx) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
193 MP_DIGITS(&tpy) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
194 for (i = 0; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
195 MP_DIGITS(&precomp[i][0]) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
196 MP_DIGITS(&precomp[i][1]) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
197 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
198 for (i = 0; i < MAX_SCRATCH; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
199 MP_DIGITS(&scratch[i]) = 0;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
200 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
201
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
202 ARGCHK(group != NULL, MP_BADARG);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
203 ARGCHK((n != NULL) && (px != NULL) && (py != NULL), MP_BADARG);
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 /* initialize precomputation table */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
206 MP_CHECKOK(mp_init(&tpx));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
207 MP_CHECKOK(mp_init(&tpy));;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
208 MP_CHECKOK(mp_init(&rz));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
209 MP_CHECKOK(mp_init(&raz4));
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 for (i = 0; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
212 MP_CHECKOK(mp_init(&precomp[i][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
213 MP_CHECKOK(mp_init(&precomp[i][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
214 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
215 for (i = 0; i < MAX_SCRATCH; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
216 MP_CHECKOK(mp_init(&scratch[i]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
217 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
218
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
219 /* Set out[8] = P */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
220 MP_CHECKOK(mp_copy(px, &precomp[8][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
221 MP_CHECKOK(mp_copy(py, &precomp[8][1]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
222
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
223 /* Set (tpx, tpy) = 2P */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
224 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
225 point_dbl(&precomp[8][0], &precomp[8][1], &tpx, &tpy,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
226 group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
227
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
228 /* Set 3P, 5P, ..., 15P */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
229 for (i = 8; i < 15; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
230 MP_CHECKOK(group->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
231 point_add(&precomp[i][0], &precomp[i][1], &tpx, &tpy,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
232 &precomp[i + 1][0], &precomp[i + 1][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
233 group));
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
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
236 /* Set -15P, -13P, ..., -P */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
237 for (i = 0; i < 8; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
238 MP_CHECKOK(mp_copy(&precomp[15 - i][0], &precomp[i][0]));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
239 MP_CHECKOK(group->meth->
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
240 field_neg(&precomp[15 - i][1], &precomp[i][1],
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
241 group->meth));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
242 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
243
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
244 /* R = inf */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
245 MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz));
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 orderBitSize = mpl_significant_bits(&group->order);
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Andre Heinecke <andre.heinecke@intevation.de>
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248
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249 /* Allocate memory for NAF */
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Andre Heinecke <andre.heinecke@intevation.de>
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250 naf = (signed char *) malloc(sizeof(signed char) * (orderBitSize + 1));
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
251 if (naf == NULL) {
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Andre Heinecke <andre.heinecke@intevation.de>
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252 res = MP_MEM;
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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253 goto CLEANUP;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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254 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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255
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
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256 /* Compute 5NAF */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
257 ec_compute_wNAF(naf, orderBitSize, n, 5);
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258
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259 /* wNAF method */
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
260 for (i = orderBitSize; i >= 0; i--) {
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Andre Heinecke <andre.heinecke@intevation.de>
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261 /* R = 2R */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
262 ec_GFp_pt_dbl_jm(rx, ry, &rz, &raz4, rx, ry, &rz,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
263 &raz4, scratch, group);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
264 if (naf[i] != 0) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
265 ec_GFp_pt_add_jm_aff(rx, ry, &rz, &raz4,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
266 &precomp[(naf[i] + 15) / 2][0],
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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267 &precomp[(naf[i] + 15) / 2][1], rx, ry,
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
268 &rz, &raz4, scratch, group);
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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269 }
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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270 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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271
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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272 /* convert result S to affine coordinates */
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
273 MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group));
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
274
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
275 CLEANUP:
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
276 for (i = 0; i < MAX_SCRATCH; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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277 mp_clear(&scratch[i]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
278 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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279 for (i = 0; i < 16; i++) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
280 mp_clear(&precomp[i][0]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
281 mp_clear(&precomp[i][1]);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
282 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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283 mp_clear(&tpx);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
284 mp_clear(&tpy);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
285 mp_clear(&rz);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
286 mp_clear(&raz4);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
287 free(naf);
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
288 return res;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
289 }
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