crypto/openssl-0.9.7e/crypto/ec/ec_lcl.h

   1 /* crypto/ec/ec_lcl.h */
   2 /* ====================================================================
   3  * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
   4  *
   5  * Redistribution and use in source and binary forms, with or without
   6  * modification, are permitted provided that the following conditions
   7  * are met:
   8  *
   9  * 1. Redistributions of source code must retain the above copyright
  10  *    notice, this list of conditions and the following disclaimer.
  11  *
  12  * 2. Redistributions in binary form must reproduce the above copyright
  13  *    notice, this list of conditions and the following disclaimer in
  14  *    the documentation and/or other materials provided with the
  15  *    distribution.
  16  *
  17  * 3. All advertising materials mentioning features or use of this
  18  *    software must display the following acknowledgment:
  19  *    "This product includes software developed by the OpenSSL Project
  20  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  21  *
  22  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  23  *    endorse or promote products derived from this software without
  24  *    prior written permission. For written permission, please contact
  25  *    openssl-core@openssl.org.
  26  *
  27  * 5. Products derived from this software may not be called "OpenSSL"
  28  *    nor may "OpenSSL" appear in their names without prior written
  29  *    permission of the OpenSSL Project.
  30  *
  31  * 6. Redistributions of any form whatsoever must retain the following
  32  *    acknowledgment:
  33  *    "This product includes software developed by the OpenSSL Project
  34  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  35  *
  36  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  37  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  38  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  39  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  40  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  41  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  42  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  43  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  44  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  45  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  46  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  47  * OF THE POSSIBILITY OF SUCH DAMAGE.
  48  * ====================================================================
  49  *
  50  * This product includes cryptographic software written by Eric Young
  51  * (eay@cryptsoft.com).  This product includes software written by Tim
  52  * Hudson (tjh@cryptsoft.com).
  53  *
  54  */
  55
  56
  57 #include <stdlib.h>
  58
  59 #include <openssl/ec.h>
  60
  61
  62 /* Structure details are not part of the exported interface,
  63  * so all this may change in future versions. */
  64
  65 struct ec_method_st {
  66         /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
  67         int (*group_init)(EC_GROUP *);
  68         void (*group_finish)(EC_GROUP *);
  69         void (*group_clear_finish)(EC_GROUP *);
  70         int (*group_copy)(EC_GROUP *, const EC_GROUP *);
  71
  72         /* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */
  73         int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
  74         int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
  75
  76         /* used by EC_GROUP_set_generator, EC_GROUP_get0_generator,
  77          * EC_GROUP_get_order, EC_GROUP_get_cofactor:
  78          */
  79         int (*group_set_generator)(EC_GROUP *, const EC_POINT *generator,
  80                 const BIGNUM *order, const BIGNUM *cofactor);
  81         EC_POINT *(*group_get0_generator)(const EC_GROUP *);
  82         int (*group_get_order)(const EC_GROUP *, BIGNUM *order, BN_CTX *);
  83         int (*group_get_cofactor)(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
  84
  85         /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
  86         int (*point_init)(EC_POINT *);
  87         void (*point_finish)(EC_POINT *);
  88         void (*point_clear_finish)(EC_POINT *);
  89         int (*point_copy)(EC_POINT *, const EC_POINT *);
  90
  91         /* used by EC_POINT_set_to_infinity,
  92          * EC_POINT_set_Jprojective_coordinates_GFp, EC_POINT_get_Jprojective_coordinates_GFp,
  93          * EC_POINT_set_affine_coordinates_GFp, EC_POINT_get_affine_coordinates_GFp,
  94          * EC_POINT_set_compressed_coordinates_GFp:
  95          */
  96         int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
  97         int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
  98                 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
  99         int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
 100                 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
 101         int (*point_set_affine_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
 102                 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
 103         int (*point_get_affine_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
 104                 BIGNUM *x, BIGNUM *y, BN_CTX *);
 105         int (*point_set_compressed_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
 106                 const BIGNUM *x, int y_bit, BN_CTX *);
 107
 108         /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
 109         size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
 110                 unsigned char *buf, size_t len, BN_CTX *);
 111         int (*oct2point)(const EC_GROUP *, EC_POINT *,
 112                 const unsigned char *buf, size_t len, BN_CTX *);
 113
 114         /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
 115         int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 116         int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 117         int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
 118
 119         /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
 120         int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
 121         int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 122         int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 123
 124         /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
 125         int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
 126         int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
 127
 128
 129         /* internal functions */
 130
 131         /* 'field_mul' and 'field_sqr' can be used by 'add' and 'dbl' so that
 132          * the same implementations of point operations can be used with different
 133          * optimized implementations of expensive field operations: */
 134         int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 135         int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 136
 137         int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
 138         int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
 139         int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
 140 } /* EC_METHOD */;
 141
 142
 143 struct ec_group_st {
 144         const EC_METHOD *meth;
 145
 146         void *extra_data;
 147         void *(*extra_data_dup_func)(void *);
 148         void (*extra_data_free_func)(void *);
 149         void (*extra_data_clear_free_func)(void *);
 150
 151         /* All members except 'meth' and 'extra_data...' are handled by
 152          * the method functions, even if they appear generic */
 153
 154         BIGNUM field; /* Field specification.
 155                        * For curves over GF(p), this is the modulus. */
 156
 157         BIGNUM a, b; /* Curve coefficients.
 158                       * (Here the assumption is that BIGNUMs can be used
 159                       * or abused for all kinds of fields, not just GF(p).)
 160                       * For characteristic  > 3,  the curve is defined
 161                       * by a Weierstrass equation of the form
 162                       *     y^2 = x^3 + a*x + b.
 163                       */
 164         int a_is_minus3; /* enable optimized point arithmetics for special case */
 165
 166         EC_POINT *generator; /* optional */
 167         BIGNUM order, cofactor;
 168
 169         void *field_data1; /* method-specific (e.g., Montgomery structure) */
 170         void *field_data2; /* method-specific */
 171 } /* EC_GROUP */;
 172
 173
 174 /* Basically a 'mixin' for extra data, but available for EC_GROUPs only
 175  * (with visibility limited to 'package' level for now).
 176  * We use the function pointers as index for retrieval; this obviates
 177  * global ex_data-style index tables.
 178  * (Currently, we have one slot only, but is is possible to extend this
 179  * if necessary.) */
 180 int EC_GROUP_set_extra_data(EC_GROUP *, void *extra_data, void *(*extra_data_dup_func)(void *),
 181         void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
 182 void *EC_GROUP_get_extra_data(const EC_GROUP *, void *(*extra_data_dup_func)(void *),
 183         void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
 184 void EC_GROUP_free_extra_data(EC_GROUP *);
 185 void EC_GROUP_clear_free_extra_data(EC_GROUP *);
 186
 187
 188
 189 struct ec_point_st {
 190         const EC_METHOD *meth;
 191
 192         /* All members except 'meth' are handled by the method functions,
 193          * even if they appear generic */
 194
 195         BIGNUM X;
 196         BIGNUM Y;
 197         BIGNUM Z; /* Jacobian projective coordinates:
 198                    * (X, Y, Z)  represents  (X/Z^2, Y/Z^3)  if  Z != 0 */
 199         int Z_is_one; /* enable optimized point arithmetics for special case */
 200 } /* EC_POINT */;
 201
 202
 203
 204 /* method functions in ecp_smpl.c */
 205 int ec_GFp_simple_group_init(EC_GROUP *);
 206 void ec_GFp_simple_group_finish(EC_GROUP *);
 207 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
 208 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 209 int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 210 int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
 211 int ec_GFp_simple_group_set_generator(EC_GROUP *, const EC_POINT *generator,
 212         const BIGNUM *order, const BIGNUM *cofactor);
 213 EC_POINT *ec_GFp_simple_group_get0_generator(const EC_GROUP *);
 214 int ec_GFp_simple_group_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
 215 int ec_GFp_simple_group_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
 216 int ec_GFp_simple_point_init(EC_POINT *);
 217 void ec_GFp_simple_point_finish(EC_POINT *);
 218 void ec_GFp_simple_point_clear_finish(EC_POINT *);
 219 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
 220 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 221 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 222         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
 223 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 224         BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
 225 int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 226         const BIGNUM *x, const BIGNUM *y, BN_CTX *);
 227 int ec_GFp_simple_point_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 228         BIGNUM *x, BIGNUM *y, BN_CTX *);
 229 int ec_GFp_simple_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 230         const BIGNUM *x, int y_bit, BN_CTX *);
 231 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
 232         unsigned char *buf, size_t len, BN_CTX *);
 233 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
 234         const unsigned char *buf, size_t len, BN_CTX *);
 235 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 236 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 237 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 238 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 239 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 240 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 241 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 242 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
 243 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 244 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 245
 246
 247 /* method functions in ecp_mont.c */
 248 int ec_GFp_mont_group_init(EC_GROUP *);
 249 int ec_GFp_mont_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 250 void ec_GFp_mont_group_finish(EC_GROUP *);
 251 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
 252 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
 253 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 254 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 255 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 256 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 257 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
 258
 259
 260 /* method functions in ecp_recp.c */
 261 int ec_GFp_recp_group_init(EC_GROUP *);
 262 int ec_GFp_recp_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 263 void ec_GFp_recp_group_finish(EC_GROUP *);
 264 void ec_GFp_recp_group_clear_finish(EC_GROUP *);
 265 int ec_GFp_recp_group_copy(EC_GROUP *, const EC_GROUP *);
 266 int ec_GFp_recp_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 267 int ec_GFp_recp_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 268
 269
 270 /* method functions in ecp_nist.c */
 271 int ec_GFp_nist_group_init(EC_GROUP *);
 272 int ec_GFp_nist_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 273 void ec_GFp_nist_group_finish(EC_GROUP *);
 274 void ec_GFp_nist_group_clear_finish(EC_GROUP *);
 275 int ec_GFp_nist_group_copy(EC_GROUP *, const EC_GROUP *);
 276 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 277 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);