author | mcberg |
Tue, 05 Apr 2016 11:37:41 -0700 | |
changeset 37293 | c010188d360f |
parent 25859 | 3317bb8137f4 |
child 45993 | 076a6b39a5a9 |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved. |
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* Use is subject to license terms. |
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* |
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* This library is free software; you can redistribute it and/or |
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* modify it under the terms of the GNU Lesser General Public |
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* License as published by the Free Software Foundation; either |
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* version 2.1 of the License, or (at your option) any later version. |
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* |
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* This library is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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* Lesser General Public License for more details. |
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* |
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* You should have received a copy of the GNU Lesser General Public License |
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* along with this library; if not, write to the Free Software Foundation, |
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
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* |
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
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* or visit www.oracle.com if you need additional information or have any |
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* questions. |
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*/ |
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/* ********************************************************************* |
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* |
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* The Original Code is the elliptic curve math library. |
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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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*********************************************************************** */ |
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#ifndef _ECL_PRIV_H |
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#define _ECL_PRIV_H |
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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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/* Handle case when carry-in value is zero */ |
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#define MP_ADD_CARRY_ZERO(a1, a2, s, cout) \ |
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MP_ADD_CARRY(a1, a2, s, 0, cout); |
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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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/* Handle case when carry-in value is zero */ |
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#define MP_ADD_CARRY_ZERO(a1, a2, s, 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; \ |
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cout = tmp; } |
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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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116 |
struct GFMethodStr; |
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typedef struct GFMethodStr GFMethod; |
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118 |
struct GFMethodStr { |
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119 |
/* Indicates whether the structure was constructed from dynamic memory |
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120 |
* or statically created. */ |
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121 |
int constructed; |
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122 |
/* Irreducible that defines the field. For prime fields, this is the |
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123 |
* prime p. For binary polynomial fields, this is the bitstring |
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124 |
* representation of the irreducible polynomial. */ |
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125 |
mp_int irr; |
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126 |
/* For prime fields, the value irr_arr[0] is the number of bits in the |
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127 |
* field. For binary polynomial fields, the irreducible polynomial |
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128 |
* 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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131 |
unsigned int irr_arr[5]; |
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132 |
/* Field arithmetic methods. All methods (except field_enc and |
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133 |
* field_dec) are assumed to take field-encoded parameters and return |
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134 |
* field-encoded values. All methods (except field_enc and field_dec) |
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* are required to be implemented. */ |
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136 |
mp_err (*field_add) (const mp_int *a, const mp_int *b, mp_int *r, |
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137 |
const GFMethod *meth); |
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138 |
mp_err (*field_neg) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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139 |
mp_err (*field_sub) (const mp_int *a, const mp_int *b, mp_int *r, |
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140 |
const GFMethod *meth); |
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141 |
mp_err (*field_mod) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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142 |
mp_err (*field_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 |
mp_err (*field_sqr) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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145 |
mp_err (*field_div) (const mp_int *a, const mp_int *b, mp_int *r, |
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146 |
const GFMethod *meth); |
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147 |
mp_err (*field_enc) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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148 |
mp_err (*field_dec) (const mp_int *a, mp_int *r, const GFMethod *meth); |
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149 |
/* Extra storage for implementation-specific data. Any memory |
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150 |
* allocated to these extra fields will be cleared by extra_free. */ |
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151 |
void *extra1; |
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152 |
void *extra2; |
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153 |
void (*extra_free) (GFMethod *meth); |
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154 |
}; |
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155 |
|
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156 |
/* Construct generic GFMethods. */ |
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157 |
GFMethod *GFMethod_consGFp(const mp_int *irr); |
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158 |
GFMethod *GFMethod_consGFp_mont(const mp_int *irr); |
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159 |
GFMethod *GFMethod_consGF2m(const mp_int *irr, |
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160 |
const unsigned int irr_arr[5]); |
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161 |
/* Free the memory allocated (if any) to a GFMethod object. */ |
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162 |
void GFMethod_free(GFMethod *meth); |
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163 |
|
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164 |
struct ECGroupStr { |
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165 |
/* Indicates whether the structure was constructed from dynamic memory |
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166 |
* or statically created. */ |
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167 |
int constructed; |
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168 |
/* Field definition and arithmetic. */ |
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169 |
GFMethod *meth; |
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170 |
/* Textual representation of curve name, if any. */ |
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171 |
char *text; |
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172 |
#ifdef _KERNEL |
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int text_len; |
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174 |
#endif |
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|
175 |
/* Curve parameters, field-encoded. */ |
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176 |
mp_int curvea, curveb; |
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177 |
/* x and y coordinates of the base point, field-encoded. */ |
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178 |
mp_int genx, geny; |
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179 |
/* Order and cofactor of the base point. */ |
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180 |
mp_int order; |
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181 |
int cofactor; |
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182 |
/* Point arithmetic methods. All methods are assumed to take |
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183 |
* field-encoded parameters and return field-encoded values. All |
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184 |
* methods (except base_point_mul and points_mul) are required to be |
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185 |
* implemented. */ |
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186 |
mp_err (*point_add) (const mp_int *px, const mp_int *py, |
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187 |
const mp_int *qx, const mp_int *qy, mp_int *rx, |
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188 |
mp_int *ry, const ECGroup *group); |
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189 |
mp_err (*point_sub) (const mp_int *px, const mp_int *py, |
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190 |
const mp_int *qx, const mp_int *qy, mp_int *rx, |
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191 |
mp_int *ry, const ECGroup *group); |
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192 |
mp_err (*point_dbl) (const mp_int *px, const mp_int *py, mp_int *rx, |
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193 |
mp_int *ry, const ECGroup *group); |
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194 |
mp_err (*point_mul) (const mp_int *n, const mp_int *px, |
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195 |
const mp_int *py, mp_int *rx, mp_int *ry, |
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196 |
const ECGroup *group); |
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197 |
mp_err (*base_point_mul) (const mp_int *n, mp_int *rx, mp_int *ry, |
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198 |
const ECGroup *group); |
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199 |
mp_err (*points_mul) (const mp_int *k1, const mp_int *k2, |
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200 |
const mp_int *px, const mp_int *py, mp_int *rx, |
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201 |
mp_int *ry, const ECGroup *group); |
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202 |
mp_err (*validate_point) (const mp_int *px, const mp_int *py, const ECGroup *group); |
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203 |
/* Extra storage for implementation-specific data. Any memory |
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204 |
* allocated to these extra fields will be cleared by extra_free. */ |
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205 |
void *extra1; |
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206 |
void *extra2; |
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207 |
void (*extra_free) (ECGroup *group); |
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208 |
}; |
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209 |
|
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210 |
/* Wrapper functions for generic prime field arithmetic. */ |
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211 |
mp_err ec_GFp_add(const mp_int *a, const mp_int *b, mp_int *r, |
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212 |
const GFMethod *meth); |
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213 |
mp_err ec_GFp_neg(const mp_int *a, mp_int *r, const GFMethod *meth); |
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214 |
mp_err ec_GFp_sub(const mp_int *a, const mp_int *b, mp_int *r, |
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215 |
const GFMethod *meth); |
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216 |
|
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217 |
/* fixed length in-line adds. Count is in words */ |
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218 |
mp_err ec_GFp_add_3(const mp_int *a, const mp_int *b, mp_int *r, |
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219 |
const GFMethod *meth); |
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220 |
mp_err ec_GFp_add_4(const mp_int *a, const mp_int *b, mp_int *r, |
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221 |
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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const GFMethod *meth); |
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mp_err ec_GFp_add_6(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_sub_3(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_sub_4(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_sub_5(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_sub_6(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 ec_GFp_mod(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GFp_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_GFp_sqr(const mp_int *a, mp_int *r, const GFMethod *meth); |
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mp_err ec_GFp_div(const mp_int *a, const mp_int *b, mp_int *r, |
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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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|
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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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|
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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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|
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#endif /* _ECL_PRIV_H */ |