author | vinnie |
Tue, 11 Aug 2009 16:52:26 +0100 | |
changeset 3492 | e549cea58864 |
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. |
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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> and |
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* Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories |
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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 2007 Sun Microsystems, Inc. All rights reserved. |
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* Use is subject to license terms. |
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*/ |
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#ifndef _ECL_PRIV_H |
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#define _ECL_PRIV_H |
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#pragma ident "%Z%%M% %I% %E% SMI" |
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#include "ecl.h" |
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#include "mpi.h" |
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#include "mplogic.h" |
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/* MAX_FIELD_SIZE_DIGITS is the maximum size of field element supported */ |
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/* the following needs to go away... */ |
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#if defined(MP_USE_LONG_LONG_DIGIT) || defined(MP_USE_LONG_DIGIT) |
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#define ECL_SIXTY_FOUR_BIT |
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#else |
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#define ECL_THIRTY_TWO_BIT |
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#endif |
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#define ECL_CURVE_DIGITS(curve_size_in_bits) \ |
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(((curve_size_in_bits)+(sizeof(mp_digit)*8-1))/(sizeof(mp_digit)*8)) |
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#define ECL_BITS (sizeof(mp_digit)*8) |
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#define ECL_MAX_FIELD_SIZE_DIGITS (80/sizeof(mp_digit)) |
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/* Gets the i'th bit in the binary representation of a. If i >= length(a), |
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* then return 0. (The above behaviour differs from mpl_get_bit, which |
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* causes an error if i >= length(a).) */ |
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#define MP_GET_BIT(a, i) \ |
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((i) >= mpl_significant_bits((a))) ? 0 : mpl_get_bit((a), (i)) |
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#if !defined(MP_NO_MP_WORD) && !defined(MP_NO_ADD_WORD) |
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#define MP_ADD_CARRY(a1, a2, s, cin, cout) \ |
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{ mp_word w; \ |
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w = ((mp_word)(cin)) + (a1) + (a2); \ |
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s = ACCUM(w); \ |
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cout = CARRYOUT(w); } |
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#define MP_SUB_BORROW(a1, a2, s, bin, bout) \ |
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{ mp_word w; \ |
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w = ((mp_word)(a1)) - (a2) - (bin); \ |
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s = ACCUM(w); \ |
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bout = (w >> MP_DIGIT_BIT) & 1; } |
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#else |
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/* NOTE, |
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* cin and cout could be the same variable. |
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* bin and bout could be the same variable. |
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* a1 or a2 and s could be the same variable. |
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* don't trash those outputs until their respective inputs have |
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* been read. */ |
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#define MP_ADD_CARRY(a1, a2, s, cin, cout) \ |
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{ mp_digit tmp,sum; \ |
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tmp = (a1); \ |
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sum = tmp + (a2); \ |
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tmp = (sum < tmp); /* detect overflow */ \ |
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s = sum += (cin); \ |
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cout = tmp + (sum < (cin)); } |
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#define MP_SUB_BORROW(a1, a2, s, bin, bout) \ |
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{ mp_digit tmp; \ |
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tmp = (a1); \ |
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s = tmp - (a2); \ |
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tmp = (s > tmp); /* detect borrow */ \ |
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if ((bin) && !s--) tmp++; \ |
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bout = tmp; } |
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#endif |
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struct GFMethodStr; |
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typedef struct GFMethodStr GFMethod; |
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struct GFMethodStr { |
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/* Indicates whether the structure was constructed from dynamic memory |
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* or statically created. */ |
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129 |
int constructed; |
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130 |
/* Irreducible that defines the field. For prime fields, this is the |
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* prime p. For binary polynomial fields, this is the bitstring |
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* representation of the irreducible polynomial. */ |
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133 |
mp_int irr; |
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/* For prime fields, the value irr_arr[0] is the number of bits in the |
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135 |
* field. For binary polynomial fields, the irreducible polynomial |
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136 |
* f(t) is represented as an array of unsigned int[], where f(t) is |
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* of the form: f(t) = t^p[0] + t^p[1] + ... + t^p[4] where m = p[0] |
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* > p[1] > ... > p[4] = 0. */ |
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unsigned int irr_arr[5]; |
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140 |
/* Field arithmetic methods. All methods (except field_enc and |
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* field_dec) are assumed to take field-encoded parameters and return |
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142 |
* field-encoded values. All methods (except field_enc and field_dec) |
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143 |
* are required to be implemented. */ |
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144 |
mp_err (*field_add) (const mp_int *a, const mp_int *b, mp_int *r, |
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145 |
const GFMethod *meth); |
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mp_err (*field_neg) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err (*field_sub) (const mp_int *a, const mp_int *b, mp_int *r, |
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148 |
const GFMethod *meth); |
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mp_err (*field_mod) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err (*field_mul) (const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err (*field_sqr) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err (*field_div) (const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err (*field_enc) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err (*field_dec) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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157 |
/* Extra storage for implementation-specific data. Any memory |
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158 |
* allocated to these extra fields will be cleared by extra_free. */ |
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159 |
void *extra1; |
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void *extra2; |
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void (*extra_free) (GFMethod *meth); |
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162 |
}; |
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163 |
|
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164 |
/* Construct generic GFMethods. */ |
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GFMethod *GFMethod_consGFp(const mp_int *irr); |
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GFMethod *GFMethod_consGFp_mont(const mp_int *irr); |
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GFMethod *GFMethod_consGF2m(const mp_int *irr, |
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const unsigned int irr_arr[5]); |
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/* Free the memory allocated (if any) to a GFMethod object. */ |
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void GFMethod_free(GFMethod *meth); |
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171 |
|
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struct ECGroupStr { |
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/* Indicates whether the structure was constructed from dynamic memory |
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* or statically created. */ |
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int constructed; |
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176 |
/* Field definition and arithmetic. */ |
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GFMethod *meth; |
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178 |
/* Textual representation of curve name, if any. */ |
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char *text; |
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180 |
#ifdef _KERNEL |
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int text_len; |
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182 |
#endif |
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183 |
/* Curve parameters, field-encoded. */ |
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184 |
mp_int curvea, curveb; |
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185 |
/* x and y coordinates of the base point, field-encoded. */ |
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186 |
mp_int genx, geny; |
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187 |
/* Order and cofactor of the base point. */ |
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188 |
mp_int order; |
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189 |
int cofactor; |
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/* Point arithmetic methods. All methods are assumed to take |
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191 |
* field-encoded parameters and return field-encoded values. All |
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* methods (except base_point_mul and points_mul) are required to be |
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193 |
* implemented. */ |
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194 |
mp_err (*point_add) (const mp_int *px, const mp_int *py, |
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195 |
const mp_int *qx, const mp_int *qy, mp_int *rx, |
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196 |
mp_int *ry, const ECGroup *group); |
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mp_err (*point_sub) (const mp_int *px, const mp_int *py, |
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198 |
const mp_int *qx, const mp_int *qy, mp_int *rx, |
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mp_int *ry, const ECGroup *group); |
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mp_err (*point_dbl) (const mp_int *px, const mp_int *py, mp_int *rx, |
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mp_int *ry, const ECGroup *group); |
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mp_err (*point_mul) (const mp_int *n, const mp_int *px, |
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203 |
const mp_int *py, mp_int *rx, mp_int *ry, |
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204 |
const ECGroup *group); |
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205 |
mp_err (*base_point_mul) (const mp_int *n, mp_int *rx, mp_int *ry, |
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206 |
const ECGroup *group); |
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207 |
mp_err (*points_mul) (const mp_int *k1, const mp_int *k2, |
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208 |
const mp_int *px, const mp_int *py, mp_int *rx, |
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209 |
mp_int *ry, const ECGroup *group); |
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mp_err (*validate_point) (const mp_int *px, const mp_int *py, const ECGroup *group); |
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211 |
/* Extra storage for implementation-specific data. Any memory |
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212 |
* allocated to these extra fields will be cleared by extra_free. */ |
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213 |
void *extra1; |
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214 |
void *extra2; |
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void (*extra_free) (ECGroup *group); |
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216 |
}; |
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217 |
|
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218 |
/* Wrapper functions for generic prime field arithmetic. */ |
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219 |
mp_err ec_GFp_add(const mp_int *a, const mp_int *b, mp_int *r, |
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220 |
const GFMethod *meth); |
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mp_err ec_GFp_neg(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GFp_sub(const mp_int *a, const mp_int *b, mp_int *r, |
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223 |
const GFMethod *meth); |
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224 |
|
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225 |
/* fixed length in-line adds. Count is in words */ |
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226 |
mp_err ec_GFp_add_3(const mp_int *a, const mp_int *b, mp_int *r, |
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227 |
const GFMethod *meth); |
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mp_err ec_GFp_add_4(const mp_int *a, const mp_int *b, mp_int *r, |
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229 |
const GFMethod *meth); |
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mp_err ec_GFp_add_5(const mp_int *a, const mp_int *b, mp_int *r, |
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231 |
const GFMethod *meth); |
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232 |
mp_err ec_GFp_add_6(const mp_int *a, const mp_int *b, mp_int *r, |
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233 |
const GFMethod *meth); |
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234 |
mp_err ec_GFp_sub_3(const mp_int *a, const mp_int *b, mp_int *r, |
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235 |
const GFMethod *meth); |
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236 |
mp_err ec_GFp_sub_4(const mp_int *a, const mp_int *b, mp_int *r, |
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237 |
const GFMethod *meth); |
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mp_err ec_GFp_sub_5(const mp_int *a, const mp_int *b, mp_int *r, |
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239 |
const GFMethod *meth); |
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240 |
mp_err ec_GFp_sub_6(const mp_int *a, const mp_int *b, mp_int *r, |
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241 |
const GFMethod *meth); |
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242 |
|
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243 |
mp_err ec_GFp_mod(const mp_int *a, mp_int *r, const GFMethod *meth); |
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244 |
mp_err ec_GFp_mul(const mp_int *a, const mp_int *b, mp_int *r, |
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245 |
const GFMethod *meth); |
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246 |
mp_err ec_GFp_sqr(const mp_int *a, mp_int *r, const GFMethod *meth); |
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247 |
mp_err ec_GFp_div(const mp_int *a, const mp_int *b, mp_int *r, |
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248 |
const GFMethod *meth); |
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/* Wrapper functions for generic binary polynomial field arithmetic. */ |
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mp_err ec_GF2m_add(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err ec_GF2m_neg(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GF2m_mod(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GF2m_mul(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err ec_GF2m_sqr(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GF2m_div(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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/* Montgomery prime field arithmetic. */ |
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mp_err ec_GFp_mul_mont(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err ec_GFp_sqr_mont(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GFp_div_mont(const mp_int *a, const mp_int *b, mp_int *r, |
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const GFMethod *meth); |
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mp_err ec_GFp_enc_mont(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GFp_dec_mont(const mp_int *a, mp_int *r, const GFMethod *meth); |
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void ec_GFp_extra_free_mont(GFMethod *meth); |
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|
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/* point multiplication */ |
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mp_err ec_pts_mul_basic(const mp_int *k1, const mp_int *k2, |
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const mp_int *px, const mp_int *py, mp_int *rx, |
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mp_int *ry, const ECGroup *group); |
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mp_err ec_pts_mul_simul_w2(const mp_int *k1, const mp_int *k2, |
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const mp_int *px, const mp_int *py, mp_int *rx, |
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mp_int *ry, const ECGroup *group); |
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/* Computes the windowed non-adjacent-form (NAF) of a scalar. Out should |
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* be an array of signed char's to output to, bitsize should be the number |
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* of bits of out, in is the original scalar, and w is the window size. |
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* NAF is discussed in the paper: D. Hankerson, J. Hernandez and A. |
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* Menezes, "Software implementation of elliptic curve cryptography over |
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* binary fields", Proc. CHES 2000. */ |
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mp_err ec_compute_wNAF(signed char *out, int bitsize, const mp_int *in, |
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int w); |
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|
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/* Optimized field arithmetic */ |
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mp_err ec_group_set_gfp192(ECGroup *group, ECCurveName); |
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mp_err ec_group_set_gfp224(ECGroup *group, ECCurveName); |
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mp_err ec_group_set_gfp256(ECGroup *group, ECCurveName); |
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mp_err ec_group_set_gfp384(ECGroup *group, ECCurveName); |
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mp_err ec_group_set_gfp521(ECGroup *group, ECCurveName); |
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mp_err ec_group_set_gf2m163(ECGroup *group, ECCurveName name); |
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mp_err ec_group_set_gf2m193(ECGroup *group, ECCurveName name); |
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mp_err ec_group_set_gf2m233(ECGroup *group, ECCurveName name); |
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/* Optimized floating-point arithmetic */ |
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#ifdef ECL_USE_FP |
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mp_err ec_group_set_secp160r1_fp(ECGroup *group); |
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mp_err ec_group_set_nistp192_fp(ECGroup *group); |
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mp_err ec_group_set_nistp224_fp(ECGroup *group); |
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#endif |
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#endif /* _ECL_PRIV_H */ |