author | vinnie |
Mon, 30 May 2011 16:37:42 +0100 | |
changeset 9774 | 50a2b28ca54c |
parent 9035 | 1255eb81cc2f |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved. |
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* Use is subject to license terms. |
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* |
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* This library is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public |
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* License as published by the Free Software Foundation; either |
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* version 2.1 of the License, or (at your option) any later version. |
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* |
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* This library is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* Lesser General Public License for more details. |
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* |
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* You should have received a copy of the GNU Lesser General Public License |
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* along with this library; if not, write to the Free Software Foundation, |
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
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* |
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
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* or visit www.oracle.com if you need additional information or have any |
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* questions. |
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*/ |
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/* ********************************************************************* |
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* |
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* The Original Code is the elliptic curve math library for prime field curves. |
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* |
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* The Initial Developer of the Original Code is |
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* Sun Microsystems, Inc. |
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* Portions created by the Initial Developer are Copyright (C) 2003 |
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* the Initial Developer. All Rights Reserved. |
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* |
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* Contributor(s): |
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* Stephen Fung <fungstep@hotmail.com>, Sun Microsystems Laboratories |
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* |
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*********************************************************************** */ |
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|
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#include "ecp.h" |
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#include "ecl-priv.h" |
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#include "mplogic.h" |
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#ifndef _KERNEL |
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#include <stdlib.h> |
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#endif |
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|
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#define MAX_SCRATCH 6 |
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|
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/* Computes R = 2P. Elliptic curve points P and R can be identical. Uses |
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* Modified Jacobian coordinates. |
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* |
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* Assumes input is already field-encoded using field_enc, and returns |
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* output that is still field-encoded. |
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* |
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*/ |
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mp_err |
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ec_GFp_pt_dbl_jm(const mp_int *px, const mp_int *py, const mp_int *pz, |
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const mp_int *paz4, mp_int *rx, mp_int *ry, mp_int *rz, |
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mp_int *raz4, mp_int scratch[], const ECGroup *group) |
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{ |
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mp_err res = MP_OKAY; |
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mp_int *t0, *t1, *M, *S; |
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t0 = &scratch[0]; |
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t1 = &scratch[1]; |
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M = &scratch[2]; |
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S = &scratch[3]; |
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#if MAX_SCRATCH < 4 |
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#error "Scratch array defined too small " |
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#endif |
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/* Check for point at infinity */ |
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if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) { |
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/* Set r = pt at infinity by setting rz = 0 */ |
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MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz)); |
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goto CLEANUP; |
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} |
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/* M = 3 (px^2) + a*(pz^4) */ |
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MP_CHECKOK(group->meth->field_sqr(px, t0, group->meth)); |
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MP_CHECKOK(group->meth->field_add(t0, t0, M, group->meth)); |
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MP_CHECKOK(group->meth->field_add(t0, M, t0, group->meth)); |
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MP_CHECKOK(group->meth->field_add(t0, paz4, M, group->meth)); |
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/* rz = 2 * py * pz */ |
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MP_CHECKOK(group->meth->field_mul(py, pz, S, group->meth)); |
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MP_CHECKOK(group->meth->field_add(S, S, rz, group->meth)); |
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/* t0 = 2y^2 , t1 = 8y^4 */ |
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MP_CHECKOK(group->meth->field_sqr(py, t0, group->meth)); |
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MP_CHECKOK(group->meth->field_add(t0, t0, t0, group->meth)); |
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MP_CHECKOK(group->meth->field_sqr(t0, t1, group->meth)); |
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MP_CHECKOK(group->meth->field_add(t1, t1, t1, group->meth)); |
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/* S = 4 * px * py^2 = 2 * px * t0 */ |
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MP_CHECKOK(group->meth->field_mul(px, t0, S, group->meth)); |
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MP_CHECKOK(group->meth->field_add(S, S, S, group->meth)); |
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/* rx = M^2 - 2S */ |
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MP_CHECKOK(group->meth->field_sqr(M, rx, group->meth)); |
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MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth)); |
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MP_CHECKOK(group->meth->field_sub(rx, S, rx, group->meth)); |
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/* ry = M * (S - rx) - t1 */ |
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MP_CHECKOK(group->meth->field_sub(S, rx, S, group->meth)); |
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MP_CHECKOK(group->meth->field_mul(S, M, ry, group->meth)); |
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MP_CHECKOK(group->meth->field_sub(ry, t1, ry, group->meth)); |
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/* ra*z^4 = 2*t1*(apz4) */ |
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MP_CHECKOK(group->meth->field_mul(paz4, t1, raz4, group->meth)); |
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112 |
MP_CHECKOK(group->meth->field_add(raz4, raz4, raz4, group->meth)); |
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parents:
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changeset
|
113 |
|
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parents:
diff
changeset
|
114 |
|
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|
115 |
CLEANUP: |
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|
116 |
return res; |
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|
117 |
} |
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|
118 |
|
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|
119 |
/* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is |
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120 |
* (qx, qy, 1). Elliptic curve points P, Q, and R can all be identical. |
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|
121 |
* Uses mixed Modified_Jacobian-affine coordinates. Assumes input is |
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122 |
* already field-encoded using field_enc, and returns output that is still |
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|
123 |
* field-encoded. */ |
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|
124 |
mp_err |
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|
125 |
ec_GFp_pt_add_jm_aff(const mp_int *px, const mp_int *py, const mp_int *pz, |
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|
126 |
const mp_int *paz4, const mp_int *qx, |
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|
127 |
const mp_int *qy, mp_int *rx, mp_int *ry, mp_int *rz, |
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|
128 |
mp_int *raz4, mp_int scratch[], const ECGroup *group) |
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|
129 |
{ |
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|
130 |
mp_err res = MP_OKAY; |
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|
131 |
mp_int *A, *B, *C, *D, *C2, *C3; |
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|
132 |
|
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|
133 |
A = &scratch[0]; |
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|
134 |
B = &scratch[1]; |
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|
135 |
C = &scratch[2]; |
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|
136 |
D = &scratch[3]; |
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|
137 |
C2 = &scratch[4]; |
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|
138 |
C3 = &scratch[5]; |
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|
139 |
|
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|
140 |
#if MAX_SCRATCH < 6 |
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|
141 |
#error "Scratch array defined too small " |
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|
142 |
#endif |
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|
143 |
|
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|
144 |
/* If either P or Q is the point at infinity, then return the other |
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|
145 |
* point */ |
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|
146 |
if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) { |
8e0f58b1c072
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|
147 |
MP_CHECKOK(ec_GFp_pt_aff2jac(qx, qy, rx, ry, rz, group)); |
8e0f58b1c072
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|
148 |
MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth)); |
8e0f58b1c072
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parents:
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|
149 |
MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth)); |
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|
150 |
MP_CHECKOK(group->meth-> |
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|
151 |
field_mul(raz4, &group->curvea, raz4, group->meth)); |
8e0f58b1c072
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parents:
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|
152 |
goto CLEANUP; |
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|
153 |
} |
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changeset
|
154 |
if (ec_GFp_pt_is_inf_aff(qx, qy) == MP_YES) { |
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parents:
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|
155 |
MP_CHECKOK(mp_copy(px, rx)); |
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parents:
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|
156 |
MP_CHECKOK(mp_copy(py, ry)); |
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parents:
diff
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|
157 |
MP_CHECKOK(mp_copy(pz, rz)); |
8e0f58b1c072
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parents:
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changeset
|
158 |
MP_CHECKOK(mp_copy(paz4, raz4)); |
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parents:
diff
changeset
|
159 |
goto CLEANUP; |
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parents:
diff
changeset
|
160 |
} |
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parents:
diff
changeset
|
161 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
162 |
/* A = qx * pz^2, B = qy * pz^3 */ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
163 |
MP_CHECKOK(group->meth->field_sqr(pz, A, group->meth)); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
164 |
MP_CHECKOK(group->meth->field_mul(A, pz, B, group->meth)); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
165 |
MP_CHECKOK(group->meth->field_mul(A, qx, A, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
166 |
MP_CHECKOK(group->meth->field_mul(B, qy, B, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
167 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
168 |
/* C = A - px, D = B - py */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
169 |
MP_CHECKOK(group->meth->field_sub(A, px, C, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
170 |
MP_CHECKOK(group->meth->field_sub(B, py, D, group->meth)); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
171 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
172 |
/* C2 = C^2, C3 = C^3 */ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
173 |
MP_CHECKOK(group->meth->field_sqr(C, C2, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
174 |
MP_CHECKOK(group->meth->field_mul(C, C2, C3, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
175 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
176 |
/* rz = pz * C */ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
177 |
MP_CHECKOK(group->meth->field_mul(pz, C, rz, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
178 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
179 |
/* C = px * C^2 */ |
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vinnie
parents:
diff
changeset
|
180 |
MP_CHECKOK(group->meth->field_mul(px, C2, C, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
181 |
/* A = D^2 */ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
182 |
MP_CHECKOK(group->meth->field_sqr(D, A, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
183 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
184 |
/* rx = D^2 - (C^3 + 2 * (px * C^2)) */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
185 |
MP_CHECKOK(group->meth->field_add(C, C, rx, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
186 |
MP_CHECKOK(group->meth->field_add(C3, rx, rx, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
187 |
MP_CHECKOK(group->meth->field_sub(A, rx, rx, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
188 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
189 |
/* C3 = py * C^3 */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
190 |
MP_CHECKOK(group->meth->field_mul(py, C3, C3, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
191 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
192 |
/* ry = D * (px * C^2 - rx) - py * C^3 */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
193 |
MP_CHECKOK(group->meth->field_sub(C, rx, ry, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
194 |
MP_CHECKOK(group->meth->field_mul(D, ry, ry, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
195 |
MP_CHECKOK(group->meth->field_sub(ry, C3, ry, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
196 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
197 |
/* raz4 = a * rz^4 */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
198 |
MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
199 |
MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
200 |
MP_CHECKOK(group->meth-> |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
201 |
field_mul(raz4, &group->curvea, raz4, group->meth)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
202 |
CLEANUP: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
203 |
return res; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
204 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
205 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
206 |
/* Computes R = nP where R is (rx, ry) and P is the base point. Elliptic |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
207 |
* curve points P and R can be identical. Uses mixed Modified-Jacobian |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
208 |
* co-ordinates for doubling and Chudnovsky Jacobian coordinates for |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
209 |
* additions. Assumes input is already field-encoded using field_enc, and |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
210 |
* returns output that is still field-encoded. Uses 5-bit window NAF |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
211 |
* method (algorithm 11) for scalar-point multiplication from Brown, |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
212 |
* Hankerson, Lopez, Menezes. Software Implementation of the NIST Elliptic |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
213 |
* Curves Over Prime Fields. */ |
8e0f58b1c072
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parents:
diff
changeset
|
214 |
mp_err |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
215 |
ec_GFp_pt_mul_jm_wNAF(const mp_int *n, const mp_int *px, const mp_int *py, |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
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diff
changeset
|
216 |
mp_int *rx, mp_int *ry, const ECGroup *group) |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
217 |
{ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
218 |
mp_err res = MP_OKAY; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
219 |
mp_int precomp[16][2], rz, tpx, tpy; |
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220 |
mp_int raz4; |
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|
221 |
mp_int scratch[MAX_SCRATCH]; |
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222 |
signed char *naf = NULL; |
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|
223 |
int i, orderBitSize; |
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|
224 |
|
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225 |
MP_DIGITS(&rz) = 0; |
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|
226 |
MP_DIGITS(&raz4) = 0; |
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|
227 |
MP_DIGITS(&tpx) = 0; |
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|
228 |
MP_DIGITS(&tpy) = 0; |
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|
229 |
for (i = 0; i < 16; i++) { |
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|
230 |
MP_DIGITS(&precomp[i][0]) = 0; |
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|
231 |
MP_DIGITS(&precomp[i][1]) = 0; |
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|
232 |
} |
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|
233 |
for (i = 0; i < MAX_SCRATCH; i++) { |
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|
234 |
MP_DIGITS(&scratch[i]) = 0; |
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|
235 |
} |
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|
236 |
|
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|
237 |
ARGCHK(group != NULL, MP_BADARG); |
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|
238 |
ARGCHK((n != NULL) && (px != NULL) && (py != NULL), MP_BADARG); |
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|
239 |
|
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|
240 |
/* initialize precomputation table */ |
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|
241 |
MP_CHECKOK(mp_init(&tpx, FLAG(n))); |
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|
242 |
MP_CHECKOK(mp_init(&tpy, FLAG(n)));; |
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|
243 |
MP_CHECKOK(mp_init(&rz, FLAG(n))); |
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|
244 |
MP_CHECKOK(mp_init(&raz4, FLAG(n))); |
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|
245 |
|
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|
246 |
for (i = 0; i < 16; i++) { |
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|
247 |
MP_CHECKOK(mp_init(&precomp[i][0], FLAG(n))); |
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|
248 |
MP_CHECKOK(mp_init(&precomp[i][1], FLAG(n))); |
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|
249 |
} |
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|
250 |
for (i = 0; i < MAX_SCRATCH; i++) { |
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|
251 |
MP_CHECKOK(mp_init(&scratch[i], FLAG(n))); |
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|
252 |
} |
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|
253 |
|
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|
254 |
/* Set out[8] = P */ |
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|
255 |
MP_CHECKOK(mp_copy(px, &precomp[8][0])); |
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vinnie
parents:
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|
256 |
MP_CHECKOK(mp_copy(py, &precomp[8][1])); |
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|
257 |
|
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|
258 |
/* Set (tpx, tpy) = 2P */ |
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|
259 |
MP_CHECKOK(group-> |
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|
260 |
point_dbl(&precomp[8][0], &precomp[8][1], &tpx, &tpy, |
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|
261 |
group)); |
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parents:
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|
262 |
|
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|
263 |
/* Set 3P, 5P, ..., 15P */ |
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parents:
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|
264 |
for (i = 8; i < 15; i++) { |
8e0f58b1c072
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parents:
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|
265 |
MP_CHECKOK(group-> |
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|
266 |
point_add(&precomp[i][0], &precomp[i][1], &tpx, &tpy, |
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|
267 |
&precomp[i + 1][0], &precomp[i + 1][1], |
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|
268 |
group)); |
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|
269 |
} |
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parents:
diff
changeset
|
270 |
|
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parents:
diff
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|
271 |
/* Set -15P, -13P, ..., -P */ |
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|
272 |
for (i = 0; i < 8; i++) { |
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|
273 |
MP_CHECKOK(mp_copy(&precomp[15 - i][0], &precomp[i][0])); |
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|
274 |
MP_CHECKOK(group->meth-> |
8e0f58b1c072
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diff
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|
275 |
field_neg(&precomp[15 - i][1], &precomp[i][1], |
8e0f58b1c072
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|
276 |
group->meth)); |
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parents:
diff
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|
277 |
} |
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parents:
diff
changeset
|
278 |
|
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parents:
diff
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|
279 |
/* R = inf */ |
8e0f58b1c072
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parents:
diff
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|
280 |
MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz)); |
8e0f58b1c072
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parents:
diff
changeset
|
281 |
|
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parents:
diff
changeset
|
282 |
orderBitSize = mpl_significant_bits(&group->order); |
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parents:
diff
changeset
|
283 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
284 |
/* Allocate memory for NAF */ |
8e0f58b1c072
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parents:
diff
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|
285 |
#ifdef _KERNEL |
8e0f58b1c072
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vinnie
parents:
diff
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|
286 |
naf = (signed char *) kmem_alloc((orderBitSize + 1), FLAG(n)); |
8e0f58b1c072
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parents:
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|
287 |
#else |
8e0f58b1c072
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vinnie
parents:
diff
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|
288 |
naf = (signed char *) malloc(sizeof(signed char) * (orderBitSize + 1)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
289 |
if (naf == NULL) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
290 |
res = MP_MEM; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
291 |
goto CLEANUP; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
292 |
} |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
293 |
#endif |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
294 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
295 |
/* Compute 5NAF */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
296 |
ec_compute_wNAF(naf, orderBitSize, n, 5); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
297 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
298 |
/* wNAF method */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
299 |
for (i = orderBitSize; i >= 0; i--) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
300 |
/* R = 2R */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
301 |
ec_GFp_pt_dbl_jm(rx, ry, &rz, &raz4, rx, ry, &rz, |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
302 |
&raz4, scratch, group); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
303 |
if (naf[i] != 0) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
304 |
ec_GFp_pt_add_jm_aff(rx, ry, &rz, &raz4, |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
305 |
&precomp[(naf[i] + 15) / 2][0], |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
306 |
&precomp[(naf[i] + 15) / 2][1], rx, ry, |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
307 |
&rz, &raz4, scratch, group); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
308 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
309 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
310 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
311 |
/* convert result S to affine coordinates */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
312 |
MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group)); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
313 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
314 |
CLEANUP: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
315 |
for (i = 0; i < MAX_SCRATCH; i++) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
316 |
mp_clear(&scratch[i]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
317 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
318 |
for (i = 0; i < 16; i++) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
319 |
mp_clear(&precomp[i][0]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
320 |
mp_clear(&precomp[i][1]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
321 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
322 |
mp_clear(&tpx); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
323 |
mp_clear(&tpy); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
324 |
mp_clear(&rz); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
325 |
mp_clear(&raz4); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
326 |
#ifdef _KERNEL |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
327 |
kmem_free(naf, (orderBitSize + 1)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
328 |
#else |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
329 |
free(naf); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
330 |
#endif |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
331 |
return res; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
332 |
} |