diff options
Diffstat (limited to 'security/nss/lib/freebl/ecl/ecp_jm.c')
| -rw-r--r-- | security/nss/lib/freebl/ecl/ecp_jm.c | 321 |
1 files changed, 0 insertions, 321 deletions
diff --git a/security/nss/lib/freebl/ecl/ecp_jm.c b/security/nss/lib/freebl/ecl/ecp_jm.c deleted file mode 100644 index 3b19cc825..000000000 --- a/security/nss/lib/freebl/ecl/ecp_jm.c +++ /dev/null @@ -1,321 +0,0 @@ -/* - * ***** BEGIN LICENSE BLOCK ***** - * Version: MPL 1.1/GPL 2.0/LGPL 2.1 - * - * The contents of this file are subject to the Mozilla Public License Version - * 1.1 (the "License"); you may not use this file except in compliance with - * the License. You may obtain a copy of the License at - * http://www.mozilla.org/MPL/ - * - * Software distributed under the License is distributed on an "AS IS" basis, - * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License - * for the specific language governing rights and limitations under the - * License. - * - * The Original Code is the elliptic curve math library for prime field curves. - * - * The Initial Developer of the Original Code is - * Sun Microsystems, Inc. - * Portions created by the Initial Developer are Copyright (C) 2003 - * the Initial Developer. All Rights Reserved. - * - * Contributor(s): - * Stephen Fung <fungstep@hotmail.com>, Sun Microsystems Laboratories - * - * Alternatively, the contents of this file may be used under the terms of - * either the GNU General Public License Version 2 or later (the "GPL"), or - * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), - * in which case the provisions of the GPL or the LGPL are applicable instead - * of those above. If you wish to allow use of your version of this file only - * under the terms of either the GPL or the LGPL, and not to allow others to - * use your version of this file under the terms of the MPL, indicate your - * decision by deleting the provisions above and replace them with the notice - * and other provisions required by the GPL or the LGPL. If you do not delete - * the provisions above, a recipient may use your version of this file under - * the terms of any one of the MPL, the GPL or the LGPL. - * - * ***** END LICENSE BLOCK ***** */ - -#include "ecp.h" -#include "ecl-priv.h" -#include "mplogic.h" -#include <stdlib.h> - -/* Computes R = 2P. Elliptic curve points P and R can be identical. Uses - * Modified Jacobian coordinates. - * - * Assumes input is already field-encoded using field_enc, and returns - * output that is still field-encoded. - * - */ -mp_err -ec_GFp_pt_dbl_jm(const mp_int *px, const mp_int *py, const mp_int *pz, - const mp_int *paz4, mp_int *rx, mp_int *ry, mp_int *rz, - mp_int *raz4, const ECGroup *group) -{ - mp_err res = MP_OKAY; - mp_int t0, t1, M, S; - - MP_DIGITS(&t0) = 0; - MP_DIGITS(&t1) = 0; - MP_DIGITS(&M) = 0; - MP_DIGITS(&S) = 0; - MP_CHECKOK(mp_init(&t0)); - MP_CHECKOK(mp_init(&t1)); - MP_CHECKOK(mp_init(&M)); - MP_CHECKOK(mp_init(&S)); - - /* Check for point at infinity */ - if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) { - /* Set r = pt at infinity by setting rz = 0 */ - - MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, rz)); - goto CLEANUP; - } - - /* M = 3 (px^2) + a*(pz^4) */ - MP_CHECKOK(group->meth->field_sqr(px, &t0, group->meth)); - MP_CHECKOK(group->meth->field_add(&t0, &t0, &M, group->meth)); - MP_CHECKOK(group->meth->field_add(&t0, &M, &t0, group->meth)); - MP_CHECKOK(group->meth->field_add(&t0, paz4, &M, group->meth)); - - /* rz = 2 * py * pz */ - MP_CHECKOK(group->meth->field_mul(py, pz, rz, group->meth)); - MP_CHECKOK(group->meth->field_add(rz, rz, rz, group->meth)); - - /* t0 = 2y^2 , t1 = 8y^4 */ - MP_CHECKOK(group->meth->field_sqr(py, &t0, group->meth)); - MP_CHECKOK(group->meth->field_add(&t0, &t0, &t0, group->meth)); - MP_CHECKOK(group->meth->field_sqr(&t0, &t1, group->meth)); - MP_CHECKOK(group->meth->field_add(&t1, &t1, &t1, group->meth)); - - /* S = 4 * px * py^2 = 2 * px * t0 */ - MP_CHECKOK(group->meth->field_mul(px, &t0, &S, group->meth)); - MP_CHECKOK(group->meth->field_add(&S, &S, &S, group->meth)); - - /* rx = M^2 - 2S */ - MP_CHECKOK(group->meth->field_sqr(&M, rx, group->meth)); - MP_CHECKOK(group->meth->field_sub(rx, &S, rx, group->meth)); - MP_CHECKOK(group->meth->field_sub(rx, &S, rx, group->meth)); - - /* ry = M * (S - rx) - t1 */ - MP_CHECKOK(group->meth->field_sub(&S, rx, ry, group->meth)); - MP_CHECKOK(group->meth->field_mul(ry, &M, ry, group->meth)); - MP_CHECKOK(group->meth->field_sub(ry, &t1, ry, group->meth)); - - /* ra*z^4 = 2*t1*(apz4) */ - MP_CHECKOK(group->meth->field_mul(paz4, &t1, raz4, group->meth)); - MP_CHECKOK(group->meth->field_add(raz4, raz4, raz4, group->meth)); - - CLEANUP: - mp_clear(&t0); - mp_clear(&t1); - mp_clear(&M); - mp_clear(&S); - return res; -} - -/* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is - * (qx, qy, 1). Elliptic curve points P, Q, and R can all be identical. - * Uses mixed Modified_Jacobian-affine coordinates. Assumes input is - * already field-encoded using field_enc, and returns output that is still - * field-encoded. */ -mp_err -ec_GFp_pt_add_jm_aff(const mp_int *px, const mp_int *py, const mp_int *pz, - const mp_int *paz4, const mp_int *qx, - const mp_int *qy, mp_int *rx, mp_int *ry, mp_int *rz, - mp_int *raz4, const ECGroup *group) -{ - mp_err res = MP_OKAY; - mp_int A, B, C, D, C2, C3; - - MP_DIGITS(&A) = 0; - MP_DIGITS(&B) = 0; - MP_DIGITS(&C) = 0; - MP_DIGITS(&D) = 0; - MP_DIGITS(&C2) = 0; - MP_DIGITS(&C3) = 0; - MP_CHECKOK(mp_init(&A)); - MP_CHECKOK(mp_init(&B)); - MP_CHECKOK(mp_init(&C)); - MP_CHECKOK(mp_init(&D)); - MP_CHECKOK(mp_init(&C2)); - MP_CHECKOK(mp_init(&C3)); - - /* If either P or Q is the point at infinity, then return the other - * point */ - if (ec_GFp_pt_is_inf_jac(px, py, pz) == MP_YES) { - MP_CHECKOK(ec_GFp_pt_aff2jac(qx, qy, rx, ry, rz, group)); - MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth)); - MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth)); - MP_CHECKOK(group->meth-> - field_mul(raz4, &group->curvea, raz4, group->meth)); - goto CLEANUP; - } - if (ec_GFp_pt_is_inf_aff(qx, qy) == MP_YES) { - MP_CHECKOK(mp_copy(px, rx)); - MP_CHECKOK(mp_copy(py, ry)); - MP_CHECKOK(mp_copy(pz, rz)); - MP_CHECKOK(mp_copy(paz4, raz4)); - goto CLEANUP; - } - - /* A = qx * pz^2, B = qy * pz^3 */ - MP_CHECKOK(group->meth->field_sqr(pz, &A, group->meth)); - MP_CHECKOK(group->meth->field_mul(&A, pz, &B, group->meth)); - MP_CHECKOK(group->meth->field_mul(&A, qx, &A, group->meth)); - MP_CHECKOK(group->meth->field_mul(&B, qy, &B, group->meth)); - - /* C = A - px, D = B - py */ - MP_CHECKOK(group->meth->field_sub(&A, px, &C, group->meth)); - MP_CHECKOK(group->meth->field_sub(&B, py, &D, group->meth)); - - /* C2 = C^2, C3 = C^3 */ - MP_CHECKOK(group->meth->field_sqr(&C, &C2, group->meth)); - MP_CHECKOK(group->meth->field_mul(&C, &C2, &C3, group->meth)); - - /* rz = pz * C */ - MP_CHECKOK(group->meth->field_mul(pz, &C, rz, group->meth)); - - /* C = px * C^2 */ - MP_CHECKOK(group->meth->field_mul(px, &C2, &C, group->meth)); - /* A = D^2 */ - MP_CHECKOK(group->meth->field_sqr(&D, &A, group->meth)); - - /* rx = D^2 - (C^3 + 2 * (px * C^2)) */ - MP_CHECKOK(group->meth->field_add(&C, &C, rx, group->meth)); - MP_CHECKOK(group->meth->field_add(&C3, rx, rx, group->meth)); - MP_CHECKOK(group->meth->field_sub(&A, rx, rx, group->meth)); - - /* C3 = py * C^3 */ - MP_CHECKOK(group->meth->field_mul(py, &C3, &C3, group->meth)); - - /* ry = D * (px * C^2 - rx) - py * C^3 */ - MP_CHECKOK(group->meth->field_sub(&C, rx, ry, group->meth)); - MP_CHECKOK(group->meth->field_mul(&D, ry, ry, group->meth)); - MP_CHECKOK(group->meth->field_sub(ry, &C3, ry, group->meth)); - - /* raz4 = a * rz^4 */ - MP_CHECKOK(group->meth->field_sqr(rz, raz4, group->meth)); - MP_CHECKOK(group->meth->field_sqr(raz4, raz4, group->meth)); - MP_CHECKOK(group->meth-> - field_mul(raz4, &group->curvea, raz4, group->meth)); - - CLEANUP: - mp_clear(&A); - mp_clear(&B); - mp_clear(&C); - mp_clear(&D); - mp_clear(&C2); - mp_clear(&C3); - return res; -} - -/* Computes R = nP where R is (rx, ry) and P is the base point. Elliptic - * curve points P and R can be identical. Uses mixed Modified-Jacobian - * co-ordinates for doubling and Chudnovsky Jacobian coordinates for - * additions. Assumes input is already field-encoded using field_enc, and - * returns output that is still field-encoded. Uses 5-bit window NAF - * method (algorithm 11) for scalar-point multiplication from Brown, - * Hankerson, Lopez, Menezes. Software Implementation of the NIST Elliptic - * Curves Over Prime Fields. */ -mp_err -ec_GFp_pt_mul_jm_wNAF(const mp_int *n, const mp_int *px, const mp_int *py, - mp_int *rx, mp_int *ry, const ECGroup *group) -{ - mp_err res = MP_OKAY; - mp_int precomp[16][2], rz, tpx, tpy; - mp_int raz4; - signed char *naf = NULL; - int i, orderBitSize; - - MP_DIGITS(&rz) = 0; - MP_DIGITS(&raz4) = 0; - MP_DIGITS(&tpx) = 0; - MP_DIGITS(&tpy) = 0; - for (i = 0; i < 16; i++) { - MP_DIGITS(&precomp[i][0]) = 0; - MP_DIGITS(&precomp[i][1]) = 0; - } - - ARGCHK(group != NULL, MP_BADARG); - ARGCHK((n != NULL) && (px != NULL) && (py != NULL), MP_BADARG); - - /* initialize precomputation table */ - MP_CHECKOK(mp_init(&tpx)); - MP_CHECKOK(mp_init(&tpy));; - MP_CHECKOK(mp_init(&rz)); - MP_CHECKOK(mp_init(&raz4)); - - for (i = 0; i < 16; i++) { - MP_CHECKOK(mp_init(&precomp[i][0])); - MP_CHECKOK(mp_init(&precomp[i][1])); - } - - /* Set out[8] = P */ - MP_CHECKOK(mp_copy(px, &precomp[8][0])); - MP_CHECKOK(mp_copy(py, &precomp[8][1])); - - /* Set (tpx, tpy) = 2P */ - MP_CHECKOK(group-> - point_dbl(&precomp[8][0], &precomp[8][1], &tpx, &tpy, - group)); - - /* Set 3P, 5P, ..., 15P */ - for (i = 8; i < 15; i++) { - MP_CHECKOK(group-> - point_add(&precomp[i][0], &precomp[i][1], &tpx, &tpy, - &precomp[i + 1][0], &precomp[i + 1][1], - group)); - } - - /* Set -15P, -13P, ..., -P */ - for (i = 0; i < 8; i++) { - MP_CHECKOK(mp_copy(&precomp[15 - i][0], &precomp[i][0])); - MP_CHECKOK(group->meth-> - field_neg(&precomp[15 - i][1], &precomp[i][1], - group->meth)); - } - - /* R = inf */ - MP_CHECKOK(ec_GFp_pt_set_inf_jac(rx, ry, &rz)); - - orderBitSize = mpl_significant_bits(&group->order); - - /* Allocate memory for NAF */ - naf = (signed char *) malloc(sizeof(signed char) * (orderBitSize + 1)); - if (naf == NULL) { - res = MP_MEM; - goto CLEANUP; - } - - /* Compute 5NAF */ - ec_compute_wNAF(naf, orderBitSize, n, 5); - - /* wNAF method */ - for (i = orderBitSize; i >= 0; i--) { - /* R = 2R */ - ec_GFp_pt_dbl_jm(rx, ry, &rz, &raz4, rx, ry, &rz, &raz4, group); - if (naf[i] != 0) { - ec_GFp_pt_add_jm_aff(rx, ry, &rz, &raz4, - &precomp[(naf[i] + 15) / 2][0], - &precomp[(naf[i] + 15) / 2][1], rx, ry, - &rz, &raz4, group); - } - } - - /* convert result S to affine coordinates */ - MP_CHECKOK(ec_GFp_pt_jac2aff(rx, ry, &rz, rx, ry, group)); - - CLEANUP: - for (i = 0; i < 16; i++) { - mp_clear(&precomp[i][0]); - mp_clear(&precomp[i][1]); - } - mp_clear(&tpx); - mp_clear(&tpy); - mp_clear(&rz); - mp_clear(&raz4); - free(naf); - return res; -} |