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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* |
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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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* Douglas Stebila <douglas@stebila.ca>, 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 "mpi.h" |
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#include "mplogic.h" |
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#include "mpi-priv.h" |
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#ifndef _KERNEL |
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#include <stdlib.h> |
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#endif |
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#define ECP224_DIGITS ECL_CURVE_DIGITS(224) |
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|
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/* Fast modular reduction for p224 = 2^224 - 2^96 + 1. a can be r. Uses |
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* algorithm 7 from Brown, Hankerson, Lopez, Menezes. Software |
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* Implementation of the NIST Elliptic Curves over Prime Fields. */ |
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mp_err |
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ec_GFp_nistp224_mod(const mp_int *a, mp_int *r, const GFMethod *meth) |
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{ |
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mp_err res = MP_OKAY; |
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mp_size a_used = MP_USED(a); |
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|
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int r3b; |
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mp_digit carry; |
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#ifdef ECL_THIRTY_TWO_BIT |
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mp_digit a6a = 0, a6b = 0, |
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a5a = 0, a5b = 0, a4a = 0, a4b = 0, a3a = 0, a3b = 0; |
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mp_digit r0a, r0b, r1a, r1b, r2a, r2b, r3a; |
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#else |
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mp_digit a6 = 0, a5 = 0, a4 = 0, a3b = 0, a5a = 0; |
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mp_digit a6b = 0, a6a_a5b = 0, a5b = 0, a5a_a4b = 0, a4a_a3b = 0; |
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mp_digit r0, r1, r2, r3; |
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#endif |
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/* reduction not needed if a is not larger than field size */ |
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if (a_used < ECP224_DIGITS) { |
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if (a == r) return MP_OKAY; |
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return mp_copy(a, r); |
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} |
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/* for polynomials larger than twice the field size, use regular |
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* reduction */ |
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if (a_used > ECL_CURVE_DIGITS(224*2)) { |
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MP_CHECKOK(mp_mod(a, &meth->irr, r)); |
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} else { |
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#ifdef ECL_THIRTY_TWO_BIT |
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/* copy out upper words of a */ |
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switch (a_used) { |
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case 14: |
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a6b = MP_DIGIT(a, 13); |
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case 13: |
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a6a = MP_DIGIT(a, 12); |
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case 12: |
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a5b = MP_DIGIT(a, 11); |
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case 11: |
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a5a = MP_DIGIT(a, 10); |
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case 10: |
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a4b = MP_DIGIT(a, 9); |
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case 9: |
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a4a = MP_DIGIT(a, 8); |
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case 8: |
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a3b = MP_DIGIT(a, 7); |
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} |
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r3a = MP_DIGIT(a, 6); |
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r2b= MP_DIGIT(a, 5); |
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r2a= MP_DIGIT(a, 4); |
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r1b = MP_DIGIT(a, 3); |
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r1a = MP_DIGIT(a, 2); |
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r0b = MP_DIGIT(a, 1); |
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r0a = MP_DIGIT(a, 0); |
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|
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/* implement r = (a3a,a2,a1,a0) |
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+(a5a, a4,a3b, 0) |
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+( 0, a6,a5b, 0) |
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-( 0 0, 0|a6b, a6a|a5b ) |
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-( a6b, a6a|a5b, a5a|a4b, a4a|a3b ) */ |
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MP_ADD_CARRY (r1b, a3b, r1b, 0, carry); |
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MP_ADD_CARRY (r2a, a4a, r2a, carry, carry); |
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changeset
|
113 |
MP_ADD_CARRY (r2b, a4b, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
114 |
MP_ADD_CARRY (r3a, a5a, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
115 |
r3b = carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
116 |
MP_ADD_CARRY (r1b, a5b, r1b, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
117 |
MP_ADD_CARRY (r2a, a6a, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
118 |
MP_ADD_CARRY (r2b, a6b, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
119 |
MP_ADD_CARRY (r3a, 0, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
120 |
r3b += carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
121 |
MP_SUB_BORROW(r0a, a3b, r0a, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
122 |
MP_SUB_BORROW(r0b, a4a, r0b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
123 |
MP_SUB_BORROW(r1a, a4b, r1a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
124 |
MP_SUB_BORROW(r1b, a5a, r1b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
125 |
MP_SUB_BORROW(r2a, a5b, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
126 |
MP_SUB_BORROW(r2b, a6a, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
127 |
MP_SUB_BORROW(r3a, a6b, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
128 |
r3b -= carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
129 |
MP_SUB_BORROW(r0a, a5b, r0a, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
130 |
MP_SUB_BORROW(r0b, a6a, r0b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
131 |
MP_SUB_BORROW(r1a, a6b, r1a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
132 |
if (carry) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
133 |
MP_SUB_BORROW(r1b, 0, r1b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
134 |
MP_SUB_BORROW(r2a, 0, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
135 |
MP_SUB_BORROW(r2b, 0, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
136 |
MP_SUB_BORROW(r3a, 0, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
137 |
r3b -= carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
138 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
139 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
140 |
while (r3b > 0) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
141 |
int tmp; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
142 |
MP_ADD_CARRY(r1b, r3b, r1b, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
143 |
if (carry) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
144 |
MP_ADD_CARRY(r2a, 0, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
145 |
MP_ADD_CARRY(r2b, 0, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
146 |
MP_ADD_CARRY(r3a, 0, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
147 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
148 |
tmp = carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
149 |
MP_SUB_BORROW(r0a, r3b, r0a, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
150 |
if (carry) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
151 |
MP_SUB_BORROW(r0b, 0, r0b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
152 |
MP_SUB_BORROW(r1a, 0, r1a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
153 |
MP_SUB_BORROW(r1b, 0, r1b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
154 |
MP_SUB_BORROW(r2a, 0, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
155 |
MP_SUB_BORROW(r2b, 0, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
156 |
MP_SUB_BORROW(r3a, 0, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
157 |
tmp -= carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
158 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
159 |
r3b = tmp; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
160 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
161 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
162 |
while (r3b < 0) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
163 |
mp_digit maxInt = MP_DIGIT_MAX; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
164 |
MP_ADD_CARRY (r0a, 1, r0a, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
165 |
MP_ADD_CARRY (r0b, 0, r0b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
166 |
MP_ADD_CARRY (r1a, 0, r1a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
167 |
MP_ADD_CARRY (r1b, maxInt, r1b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
168 |
MP_ADD_CARRY (r2a, maxInt, r2a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
169 |
MP_ADD_CARRY (r2b, maxInt, r2b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
170 |
MP_ADD_CARRY (r3a, maxInt, r3a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
171 |
r3b += carry; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
172 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
173 |
/* check for final reduction */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
174 |
/* now the only way we are over is if the top 4 words are all ones */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
175 |
if ((r3a == MP_DIGIT_MAX) && (r2b == MP_DIGIT_MAX) |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
176 |
&& (r2a == MP_DIGIT_MAX) && (r1b == MP_DIGIT_MAX) && |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
177 |
((r1a != 0) || (r0b != 0) || (r0a != 0)) ) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
178 |
/* one last subraction */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
179 |
MP_SUB_BORROW(r0a, 1, r0a, 0, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
180 |
MP_SUB_BORROW(r0b, 0, r0b, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
181 |
MP_SUB_BORROW(r1a, 0, r1a, carry, carry); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
182 |
r1b = r2a = r2b = r3a = 0; |
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 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
185 |
|
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
186 |
if (a != r) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
187 |
MP_CHECKOK(s_mp_pad(r, 7)); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
188 |
} |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
189 |
/* set the lower words of r */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
190 |
MP_SIGN(r) = MP_ZPOS; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
191 |
MP_USED(r) = 7; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
192 |
MP_DIGIT(r, 6) = r3a; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
193 |
MP_DIGIT(r, 5) = r2b; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
194 |
MP_DIGIT(r, 4) = r2a; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
195 |
MP_DIGIT(r, 3) = r1b; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
196 |
MP_DIGIT(r, 2) = r1a; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
197 |
MP_DIGIT(r, 1) = r0b; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
198 |
MP_DIGIT(r, 0) = r0a; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
199 |
#else |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
200 |
/* copy out upper words of a */ |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
201 |
switch (a_used) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
202 |
case 7: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
203 |
a6 = MP_DIGIT(a, 6); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
204 |
a6b = a6 >> 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
205 |
a6a_a5b = a6 << 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
206 |
case 6: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
207 |
a5 = MP_DIGIT(a, 5); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
208 |
a5b = a5 >> 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
209 |
a6a_a5b |= a5b; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
210 |
a5b = a5b << 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
211 |
a5a_a4b = a5 << 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
212 |
a5a = a5 & 0xffffffff; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
213 |
case 5: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
214 |
a4 = MP_DIGIT(a, 4); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
215 |
a5a_a4b |= a4 >> 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
216 |
a4a_a3b = a4 << 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
217 |
case 4: |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
218 |
a3b = MP_DIGIT(a, 3) >> 32; |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
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219 |
a4a_a3b |= a3b; |
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|
220 |
a3b = a3b << 32; |
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221 |
} |
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|
222 |
|
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223 |
r3 = MP_DIGIT(a, 3) & 0xffffffff; |
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224 |
r2 = MP_DIGIT(a, 2); |
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225 |
r1 = MP_DIGIT(a, 1); |
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226 |
r0 = MP_DIGIT(a, 0); |
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|
227 |
|
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|
228 |
/* implement r = (a3a,a2,a1,a0) |
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229 |
+(a5a, a4,a3b, 0) |
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230 |
+( 0, a6,a5b, 0) |
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231 |
-( 0 0, 0|a6b, a6a|a5b ) |
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232 |
-( a6b, a6a|a5b, a5a|a4b, a4a|a3b ) */ |
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233 |
MP_ADD_CARRY_ZERO (r1, a3b, r1, carry); |
3863
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234 |
MP_ADD_CARRY (r2, a4 , r2, carry, carry); |
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235 |
MP_ADD_CARRY (r3, a5a, r3, carry, carry); |
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236 |
MP_ADD_CARRY_ZERO (r1, a5b, r1, carry); |
3863
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237 |
MP_ADD_CARRY (r2, a6 , r2, carry, carry); |
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238 |
MP_ADD_CARRY (r3, 0, r3, carry, carry); |
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|
239 |
|
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|
240 |
MP_SUB_BORROW(r0, a4a_a3b, r0, 0, carry); |
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|
241 |
MP_SUB_BORROW(r1, a5a_a4b, r1, carry, carry); |
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|
242 |
MP_SUB_BORROW(r2, a6a_a5b, r2, carry, carry); |
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|
243 |
MP_SUB_BORROW(r3, a6b , r3, carry, carry); |
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|
244 |
MP_SUB_BORROW(r0, a6a_a5b, r0, 0, carry); |
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|
245 |
MP_SUB_BORROW(r1, a6b , r1, carry, carry); |
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|
246 |
if (carry) { |
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|
247 |
MP_SUB_BORROW(r2, 0, r2, carry, carry); |
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|
248 |
MP_SUB_BORROW(r3, 0, r3, carry, carry); |
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249 |
} |
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|
250 |
|
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|
251 |
|
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|
252 |
/* if the value is negative, r3 has a 2's complement |
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253 |
* high value */ |
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|
254 |
r3b = (int)(r3 >>32); |
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|
255 |
while (r3b > 0) { |
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|
256 |
r3 &= 0xffffffff; |
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257 |
MP_ADD_CARRY_ZERO(r1,((mp_digit)r3b) << 32, r1, carry); |
3863
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|
258 |
if (carry) { |
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|
259 |
MP_ADD_CARRY(r2, 0, r2, carry, carry); |
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|
260 |
MP_ADD_CARRY(r3, 0, r3, carry, carry); |
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|
261 |
} |
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|
262 |
MP_SUB_BORROW(r0, r3b, r0, 0, carry); |
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|
263 |
if (carry) { |
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|
264 |
MP_SUB_BORROW(r1, 0, r1, carry, carry); |
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|
265 |
MP_SUB_BORROW(r2, 0, r2, carry, carry); |
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|
266 |
MP_SUB_BORROW(r3, 0, r3, carry, carry); |
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|
267 |
} |
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|
268 |
r3b = (int)(r3 >>32); |
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|
269 |
} |
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|
270 |
|
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|
271 |
while (r3b < 0) { |
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|
272 |
MP_ADD_CARRY_ZERO (r0, 1, r0, carry); |
3863
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|
273 |
MP_ADD_CARRY (r1, MP_DIGIT_MAX <<32, r1, carry, carry); |
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|
274 |
MP_ADD_CARRY (r2, MP_DIGIT_MAX, r2, carry, carry); |
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|
275 |
MP_ADD_CARRY (r3, MP_DIGIT_MAX >> 32, r3, carry, carry); |
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|
276 |
r3b = (int)(r3 >>32); |
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|
277 |
} |
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|
278 |
/* check for final reduction */ |
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|
279 |
/* now the only way we are over is if the top 4 words are all ones */ |
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|
280 |
if ((r3 == (MP_DIGIT_MAX >> 32)) && (r2 == MP_DIGIT_MAX) |
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|
281 |
&& ((r1 & MP_DIGIT_MAX << 32)== MP_DIGIT_MAX << 32) && |
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|
282 |
((r1 != MP_DIGIT_MAX << 32 ) || (r0 != 0)) ) { |
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|
283 |
/* one last subraction */ |
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|
284 |
MP_SUB_BORROW(r0, 1, r0, 0, carry); |
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parents:
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changeset
|
285 |
MP_SUB_BORROW(r1, 0, r1, carry, carry); |
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|
286 |
r2 = r3 = 0; |
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|
287 |
} |
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|
288 |
|
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|
289 |
|
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|
290 |
if (a != r) { |
8e0f58b1c072
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|
291 |
MP_CHECKOK(s_mp_pad(r, 4)); |
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|
292 |
} |
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|
293 |
/* set the lower words of r */ |
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|
294 |
MP_SIGN(r) = MP_ZPOS; |
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|
295 |
MP_USED(r) = 4; |
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|
296 |
MP_DIGIT(r, 3) = r3; |
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|
297 |
MP_DIGIT(r, 2) = r2; |
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|
298 |
MP_DIGIT(r, 1) = r1; |
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|
299 |
MP_DIGIT(r, 0) = r0; |
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|
300 |
#endif |
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|
301 |
} |
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|
302 |
|
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|
303 |
CLEANUP: |
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|
304 |
return res; |
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parents:
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changeset
|
305 |
} |
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diff
changeset
|
306 |
|
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parents:
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changeset
|
307 |
/* Compute the square of polynomial a, reduce modulo p224. Store the |
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|
308 |
* result in r. r could be a. Uses optimized modular reduction for p224. |
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|
309 |
*/ |
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|
310 |
mp_err |
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|
311 |
ec_GFp_nistp224_sqr(const mp_int *a, mp_int *r, const GFMethod *meth) |
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|
312 |
{ |
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|
313 |
mp_err res = MP_OKAY; |
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|
314 |
|
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parents:
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|
315 |
MP_CHECKOK(mp_sqr(a, r)); |
8e0f58b1c072
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|
316 |
MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth)); |
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|
317 |
CLEANUP: |
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|
318 |
return res; |
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|
319 |
} |
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|
320 |
|
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diff
changeset
|
321 |
/* Compute the product of two polynomials a and b, reduce modulo p224. |
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|
322 |
* Store the result in r. r could be a or b; a could be b. Uses |
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|
323 |
* optimized modular reduction for p224. */ |
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|
324 |
mp_err |
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|
325 |
ec_GFp_nistp224_mul(const mp_int *a, const mp_int *b, mp_int *r, |
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|
326 |
const GFMethod *meth) |
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|
327 |
{ |
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parents:
diff
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mp_err res = MP_OKAY; |
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|
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MP_CHECKOK(mp_mul(a, b, r)); |
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MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth)); |
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CLEANUP: |
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return res; |
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} |
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|
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/* Divides two field elements. If a is NULL, then returns the inverse of |
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* b. */ |
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mp_err |
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ec_GFp_nistp224_div(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth) |
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{ |
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mp_err res = MP_OKAY; |
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mp_int t; |
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|
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/* If a is NULL, then return the inverse of b, otherwise return a/b. */ |
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if (a == NULL) { |
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return mp_invmod(b, &meth->irr, r); |
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} else { |
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/* MPI doesn't support divmod, so we implement it using invmod and |
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* mulmod. */ |
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MP_CHECKOK(mp_init(&t, FLAG(b))); |
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MP_CHECKOK(mp_invmod(b, &meth->irr, &t)); |
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MP_CHECKOK(mp_mul(a, &t, r)); |
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MP_CHECKOK(ec_GFp_nistp224_mod(r, r, meth)); |
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CLEANUP: |
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mp_clear(&t); |
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return res; |
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} |
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359 |
} |
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|
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/* Wire in fast field arithmetic and precomputation of base point for |
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* named curves. */ |
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mp_err |
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ec_group_set_gfp224(ECGroup *group, ECCurveName name) |
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{ |
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if (name == ECCurve_NIST_P224) { |
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group->meth->field_mod = &ec_GFp_nistp224_mod; |
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group->meth->field_mul = &ec_GFp_nistp224_mul; |
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group->meth->field_sqr = &ec_GFp_nistp224_sqr; |
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group->meth->field_div = &ec_GFp_nistp224_div; |
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} |
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return MP_OKAY; |
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} |