author | ohair |
Wed, 06 Apr 2011 22:06:11 -0700 | |
changeset 9035 | 1255eb81cc2f |
parent 8175 | 27e80dc06104 |
child 9774 | 50a2b28ca54c |
permissions | -rw-r--r-- |
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/* ********************************************************************* |
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* |
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* Sun elects to have this file available under and governed by the |
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* Mozilla Public License Version 1.1 ("MPL") (see |
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* http://www.mozilla.org/MPL/ for full license text). For the avoidance |
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* of doubt and subject to the following, Sun also elects to allow |
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* licensees to use this file under the MPL, the GNU General Public |
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* License version 2 only or the Lesser General Public License version |
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* 2.1 only. Any references to the "GNU General Public License version 2 |
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* or later" or "GPL" in the following shall be construed to mean the |
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* GNU General Public License version 2 only. Any references to the "GNU |
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* Lesser General Public License version 2.1 or later" or "LGPL" in the |
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* following shall be construed to mean the GNU Lesser General Public |
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* License version 2.1 only. However, the following notice accompanied |
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* the original version of this file: |
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* |
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* Version: MPL 1.1/GPL 2.0/LGPL 2.1 |
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* |
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* The contents of this file are subject to the Mozilla Public License Version |
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* 1.1 (the "License"); you may not use this file except in compliance with |
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* the License. You may obtain a copy of the License at |
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* http://www.mozilla.org/MPL/ |
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* |
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* Software distributed under the License is distributed on an "AS IS" basis, |
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* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License |
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* for the specific language governing rights and limitations under the |
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* License. |
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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> |
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* |
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* Alternatively, the contents of this file may be used under the terms of |
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* either the GNU General Public License Version 2 or later (the "GPL"), or |
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* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), |
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* in which case the provisions of the GPL or the LGPL are applicable instead |
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* of those above. If you wish to allow use of your version of this file only |
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* under the terms of either the GPL or the LGPL, and not to allow others to |
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* use your version of this file under the terms of the MPL, indicate your |
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* decision by deleting the provisions above and replace them with the notice |
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* and other provisions required by the GPL or the LGPL. If you do not delete |
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* the provisions above, a recipient may use your version of this file under |
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* the terms of any one of the MPL, the GPL or the LGPL. |
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* |
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*********************************************************************** */ |
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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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|
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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 ECP521_DIGITS ECL_CURVE_DIGITS(521) |
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|
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/* Fast modular reduction for p521 = 2^521 - 1. a can be r. Uses |
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* algorithm 2.31 from Hankerson, Menezes, Vanstone. Guide to |
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* Elliptic Curve Cryptography. */ |
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mp_err |
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ec_GFp_nistp521_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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int a_bits = mpl_significant_bits(a); |
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unsigned int i; |
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|
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/* m1, m2 are statically-allocated mp_int of exactly the size we need */ |
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mp_int m1; |
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mp_digit s1[ECP521_DIGITS] = { 0 }; |
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|
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MP_SIGN(&m1) = MP_ZPOS; |
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MP_ALLOC(&m1) = ECP521_DIGITS; |
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MP_USED(&m1) = ECP521_DIGITS; |
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MP_DIGITS(&m1) = s1; |
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|
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if (a_bits < 521) { |
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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 or polynomials |
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* not using all words, use regular reduction */ |
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if (a_bits > (521*2)) { |
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MP_CHECKOK(mp_mod(a, &meth->irr, r)); |
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} else { |
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#define FIRST_DIGIT (ECP521_DIGITS-1) |
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for (i = FIRST_DIGIT; i < MP_USED(a)-1; i++) { |
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s1[i-FIRST_DIGIT] = (MP_DIGIT(a, i) >> 9) |
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| (MP_DIGIT(a, 1+i) << (MP_DIGIT_BIT-9)); |
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} |
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s1[i-FIRST_DIGIT] = MP_DIGIT(a, i) >> 9; |
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|
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if ( a != r ) { |
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MP_CHECKOK(s_mp_pad(r,ECP521_DIGITS)); |
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for (i = 0; i < ECP521_DIGITS; i++) { |
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MP_DIGIT(r,i) = MP_DIGIT(a, i); |
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} |
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} |
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MP_USED(r) = ECP521_DIGITS; |
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MP_DIGIT(r,FIRST_DIGIT) &= 0x1FF; |
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|
111 |
|
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112 |
MP_CHECKOK(s_mp_add(r, &m1)); |
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113 |
if (MP_DIGIT(r, FIRST_DIGIT) & 0x200) { |
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MP_CHECKOK(s_mp_add_d(r,1)); |
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MP_DIGIT(r,FIRST_DIGIT) &= 0x1FF; |
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} |
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s_mp_clamp(r); |
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118 |
} |
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119 |
|
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120 |
CLEANUP: |
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121 |
return res; |
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122 |
} |
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123 |
|
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124 |
/* Compute the square of polynomial a, reduce modulo p521. Store the |
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* result in r. r could be a. Uses optimized modular reduction for p521. |
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126 |
*/ |
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127 |
mp_err |
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128 |
ec_GFp_nistp521_sqr(const mp_int *a, mp_int *r, const GFMethod *meth) |
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129 |
{ |
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130 |
mp_err res = MP_OKAY; |
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131 |
|
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132 |
MP_CHECKOK(mp_sqr(a, r)); |
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133 |
MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth)); |
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134 |
CLEANUP: |
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135 |
return res; |
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136 |
} |
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137 |
|
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138 |
/* Compute the product of two polynomials a and b, reduce modulo p521. |
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139 |
* Store the result in r. r could be a or b; a could be b. Uses |
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* optimized modular reduction for p521. */ |
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141 |
mp_err |
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142 |
ec_GFp_nistp521_mul(const mp_int *a, const mp_int *b, mp_int *r, |
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143 |
const GFMethod *meth) |
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144 |
{ |
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145 |
mp_err res = MP_OKAY; |
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|
146 |
|
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147 |
MP_CHECKOK(mp_mul(a, b, r)); |
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148 |
MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth)); |
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149 |
CLEANUP: |
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150 |
return res; |
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151 |
} |
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152 |
|
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153 |
/* Divides two field elements. If a is NULL, then returns the inverse of |
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154 |
* b. */ |
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155 |
mp_err |
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156 |
ec_GFp_nistp521_div(const mp_int *a, const mp_int *b, mp_int *r, |
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157 |
const GFMethod *meth) |
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|
158 |
{ |
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|
159 |
mp_err res = MP_OKAY; |
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160 |
mp_int t; |
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161 |
|
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162 |
/* If a is NULL, then return the inverse of b, otherwise return a/b. */ |
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163 |
if (a == NULL) { |
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164 |
return mp_invmod(b, &meth->irr, r); |
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165 |
} else { |
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166 |
/* MPI doesn't support divmod, so we implement it using invmod and |
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167 |
* mulmod. */ |
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168 |
MP_CHECKOK(mp_init(&t, FLAG(b))); |
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169 |
MP_CHECKOK(mp_invmod(b, &meth->irr, &t)); |
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170 |
MP_CHECKOK(mp_mul(a, &t, r)); |
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|
171 |
MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth)); |
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|
172 |
CLEANUP: |
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173 |
mp_clear(&t); |
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|
174 |
return res; |
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|
175 |
} |
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|
176 |
} |
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|
177 |
|
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|
178 |
/* Wire in fast field arithmetic and precomputation of base point for |
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179 |
* named curves. */ |
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180 |
mp_err |
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181 |
ec_group_set_gfp521(ECGroup *group, ECCurveName name) |
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182 |
{ |
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|
183 |
if (name == ECCurve_NIST_P521) { |
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184 |
group->meth->field_mod = &ec_GFp_nistp521_mod; |
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185 |
group->meth->field_mul = &ec_GFp_nistp521_mul; |
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186 |
group->meth->field_sqr = &ec_GFp_nistp521_sqr; |
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187 |
group->meth->field_div = &ec_GFp_nistp521_div; |
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|
188 |
} |
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|
189 |
return MP_OKAY; |
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190 |
} |