crypto/ec/ec_lcl.h

   1 /* crypto/ec/ec_lcl.h */
   2 /*
   3  * Originally written by Bodo Moeller for the OpenSSL project.
   4  */
   5 /* ====================================================================
   6  * Copyright (c) 1998-2010 The OpenSSL Project.  All rights reserved.
   7  *
   8  * Redistribution and use in source and binary forms, with or without
   9  * modification, are permitted provided that the following conditions
  10  * are met:
  11  *
  12  * 1. Redistributions of source code must retain the above copyright
  13  *    notice, this list of conditions and the following disclaimer.
  14  *
  15  * 2. Redistributions in binary form must reproduce the above copyright
  16  *    notice, this list of conditions and the following disclaimer in
  17  *    the documentation and/or other materials provided with the
  18  *    distribution.
  19  *
  20  * 3. All advertising materials mentioning features or use of this
  21  *    software must display the following acknowledgment:
  22  *    "This product includes software developed by the OpenSSL Project
  23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  24  *
  25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  26  *    endorse or promote products derived from this software without
  27  *    prior written permission. For written permission, please contact
  28  *    openssl-core@openssl.org.
  29  *
  30  * 5. Products derived from this software may not be called "OpenSSL"
  31  *    nor may "OpenSSL" appear in their names without prior written
  32  *    permission of the OpenSSL Project.
  33  *
  34  * 6. Redistributions of any form whatsoever must retain the following
  35  *    acknowledgment:
  36  *    "This product includes software developed by the OpenSSL Project
  37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  38  *
  39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  50  * OF THE POSSIBILITY OF SUCH DAMAGE.
  51  * ====================================================================
  52  *
  53  * This product includes cryptographic software written by Eric Young
  54  * (eay@cryptsoft.com).  This product includes software written by Tim
  55  * Hudson (tjh@cryptsoft.com).
  56  *
  57  */
  58 /* ====================================================================
  59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  60  *
  61  * Portions of the attached software ("Contribution") are developed by
  62  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  63  *
  64  * The Contribution is licensed pursuant to the OpenSSL open source
  65  * license provided above.
  66  *
  67  * The elliptic curve binary polynomial software is originally written by
  68  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  69  *
  70  */
  71
  72 #include <stdlib.h>
  73
  74 #include <openssl/obj_mac.h>
  75 #include <openssl/ec.h>
  76 #include <openssl/bn.h>
  77
  78 #if defined(__SUNPRO_C)
  79 # if __SUNPRO_C >= 0x520
  80 #  pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
  81 # endif
  82 #endif
  83
  84 /* Use default functions for poin2oct, oct2point and compressed coordinates */
  85 #define EC_FLAGS_DEFAULT_OCT    0x1
  86
  87 /*
  88  * Structure details are not part of the exported interface, so all this may
  89  * change in future versions.
  90  */
  91
  92 struct ec_method_st {
  93     /* Various method flags */
  94     int flags;
  95     /* used by EC_METHOD_get_field_type: */
  96     int field_type;             /* a NID */
  97     /*
  98      * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
  99      * EC_GROUP_copy:
 100      */
 101     int (*group_init) (EC_GROUP *);
 102     void (*group_finish) (EC_GROUP *);
 103     void (*group_clear_finish) (EC_GROUP *);
 104     int (*group_copy) (EC_GROUP *, const EC_GROUP *);
 105     /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
 106     /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
 107     int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 108                             const BIGNUM *b, BN_CTX *);
 109     int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
 110                             BN_CTX *);
 111     /* used by EC_GROUP_get_degree: */
 112     int (*group_get_degree) (const EC_GROUP *);
 113     /* used by EC_GROUP_check: */
 114     int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
 115     /*
 116      * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
 117      * EC_POINT_copy:
 118      */
 119     int (*point_init) (EC_POINT *);
 120     void (*point_finish) (EC_POINT *);
 121     void (*point_clear_finish) (EC_POINT *);
 122     int (*point_copy) (EC_POINT *, const EC_POINT *);
 123     /*-
 124      * used by EC_POINT_set_to_infinity,
 125      * EC_POINT_set_Jprojective_coordinates_GFp,
 126      * EC_POINT_get_Jprojective_coordinates_GFp,
 127      * EC_POINT_set_affine_coordinates_GFp,     ..._GF2m,
 128      * EC_POINT_get_affine_coordinates_GFp,     ..._GF2m,
 129      * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
 130      */
 131     int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
 132     int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
 133                                                   EC_POINT *, const BIGNUM *x,
 134                                                   const BIGNUM *y,
 135                                                   const BIGNUM *z, BN_CTX *);
 136     int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
 137                                                   const EC_POINT *, BIGNUM *x,
 138                                                   BIGNUM *y, BIGNUM *z,
 139                                                   BN_CTX *);
 140     int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
 141                                          const BIGNUM *x, const BIGNUM *y,
 142                                          BN_CTX *);
 143     int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
 144                                          BIGNUM *x, BIGNUM *y, BN_CTX *);
 145     int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
 146                                              const BIGNUM *x, int y_bit,
 147                                              BN_CTX *);
 148     /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
 149     size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
 150                          point_conversion_form_t form, unsigned char *buf,
 151                          size_t len, BN_CTX *);
 152     int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
 153                       size_t len, BN_CTX *);
 154     /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
 155     int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 156                 const EC_POINT *b, BN_CTX *);
 157     int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 158     int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 159     /*
 160      * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
 161      */
 162     int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
 163     int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
 164     int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 165                       BN_CTX *);
 166     /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
 167     int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 168     int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
 169                                BN_CTX *);
 170     /*
 171      * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
 172      * EC_POINT_have_precompute_mult (default implementations are used if the
 173      * 'mul' pointer is 0):
 174      */
 175     int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 176                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 177                 BN_CTX *);
 178     int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
 179     int (*have_precompute_mult) (const EC_GROUP *group);
 180     /* internal functions */
 181     /*
 182      * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
 183      * 'dbl' so that the same implementations of point operations can be used
 184      * with different optimized implementations of expensive field
 185      * operations:
 186      */
 187     int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 188                       const BIGNUM *b, BN_CTX *);
 189     int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 190     int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 191                       const BIGNUM *b, BN_CTX *);
 192     /* e.g. to Montgomery */
 193     int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 194                          BN_CTX *);
 195     /* e.g. from Montgomery */
 196     int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 197                          BN_CTX *);
 198     int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
 199 } /* EC_METHOD */ ;
 200
 201 /*
 202  * Types and functions to manipulate pre-computed values.
 203  */
 204 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
 205 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
 206 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
 207 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
 208 typedef struct ec_pre_comp_st EC_PRE_COMP;
 209
 210 struct ec_group_st {
 211     const EC_METHOD *meth;
 212     EC_POINT *generator;        /* optional */
 213     BIGNUM *order, *cofactor;
 214     int curve_name;             /* optional NID for named curve */
 215     int asn1_flag;              /* flag to control the asn1 encoding */
 216     point_conversion_form_t asn1_form;
 217     unsigned char *seed;        /* optional seed for parameters (appears in
 218                                  * ASN1) */
 219     size_t seed_len;
 220     /*
 221      * The following members are handled by the method functions, even if
 222      * they appear generic
 223      */
 224     /*
 225      * Field specification. For curves over GF(p), this is the modulus; for
 226      * curves over GF(2^m), this is the irreducible polynomial defining the
 227      * field.
 228      */
 229     BIGNUM *field;
 230     /*
 231      * Field specification for curves over GF(2^m). The irreducible f(t) is
 232      * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
 233      * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
 234      * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
 235      * terms.
 236      */
 237     int poly[6];
 238     /*
 239      * Curve coefficients. (Here the assumption is that BIGNUMs can be used
 240      * or abused for all kinds of fields, not just GF(p).) For characteristic
 241      * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
 242      * x^3 + a*x + b. For characteristic 2, the curve is defined by an
 243      * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
 244      */
 245     BIGNUM *a, *b;
 246     /* enable optimized point arithmetics for special case */
 247     int a_is_minus3;
 248     /* method-specific (e.g., Montgomery structure) */
 249     void *field_data1;
 250     /* method-specific */
 251     void *field_data2;
 252     /* method-specific */
 253     int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
 254                            BN_CTX *);
 255     /* data for ECDSA inverse */
 256     BN_MONT_CTX *mont_data;
 257
 258     /* precomputed values for speed. */
 259     enum {
 260         pct_none,
 261         pct_nistp224, pct_nistp256, pct_nistp521, pct_nistz256,
 262         pct_ec } pre_comp_type;
 263     union {
 264         NISTP224_PRE_COMP *nistp224;
 265         NISTP256_PRE_COMP *nistp256;
 266         NISTP521_PRE_COMP *nistp521;
 267         NISTZ256_PRE_COMP *nistz256;
 268         EC_PRE_COMP *ec;
 269     } pre_comp;
 270 } /* EC_GROUP */ ;
 271
 272 #define SETPRECOMP(g, type, pre) \
 273     g->pre_comp_type = pct_##type, g->pre_comp.type = pre
 274 #define HAVEPRECOMP(g, type) \
 275     g->pre_comp_type == pct_##type && g->pre_comp.type != NULL
 276
 277 struct ec_key_st {
 278     const EC_KEY_METHOD *meth;
 279     ENGINE *engine;
 280     int version;
 281     EC_GROUP *group;
 282     EC_POINT *pub_key;
 283     BIGNUM *priv_key;
 284     unsigned int enc_flag;
 285     point_conversion_form_t conv_form;
 286     int references;
 287     int flags;
 288     CRYPTO_EX_DATA ex_data;
 289 } /* EC_KEY */ ;
 290
 291 struct ec_point_st {
 292     const EC_METHOD *meth;
 293     /*
 294      * All members except 'meth' are handled by the method functions, even if
 295      * they appear generic
 296      */
 297     BIGNUM *X;
 298     BIGNUM *Y;
 299     BIGNUM *Z;                  /* Jacobian projective coordinates: * (X, Y,
 300                                  * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
 301     int Z_is_one;               /* enable optimized point arithmetics for
 302                                  * special case */
 303 } /* EC_POINT */ ;
 304
 305 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
 306 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 307 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
 308 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
 309 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 310 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
 311
 312 void EC_pre_comp_free(EC_GROUP *group);
 313 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
 314 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
 315 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
 316 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
 317 void EC_ec_pre_comp_free(EC_PRE_COMP *);
 318
 319 /*
 320  * method functions in ec_mult.c (ec_lib.c uses these as defaults if
 321  * group->method->mul is 0)
 322  */
 323 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 324                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 325                 BN_CTX *);
 326 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
 327 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
 328
 329 /* method functions in ecp_smpl.c */
 330 int ec_GFp_simple_group_init(EC_GROUP *);
 331 void ec_GFp_simple_group_finish(EC_GROUP *);
 332 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
 333 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 334 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 335                                   const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 336 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 337                                   BIGNUM *b, BN_CTX *);
 338 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
 339 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 340 int ec_GFp_simple_point_init(EC_POINT *);
 341 void ec_GFp_simple_point_finish(EC_POINT *);
 342 void ec_GFp_simple_point_clear_finish(EC_POINT *);
 343 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
 344 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 345 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
 346                                                   EC_POINT *, const BIGNUM *x,
 347                                                   const BIGNUM *y,
 348                                                   const BIGNUM *z, BN_CTX *);
 349 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
 350                                                   const EC_POINT *, BIGNUM *x,
 351                                                   BIGNUM *y, BIGNUM *z,
 352                                                   BN_CTX *);
 353 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 354                                                const BIGNUM *x,
 355                                                const BIGNUM *y, BN_CTX *);
 356 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
 357                                                const EC_POINT *, BIGNUM *x,
 358                                                BIGNUM *y, BN_CTX *);
 359 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 360                                              const BIGNUM *x, int y_bit,
 361                                              BN_CTX *);
 362 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 363                                point_conversion_form_t form,
 364                                unsigned char *buf, size_t len, BN_CTX *);
 365 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
 366                             const unsigned char *buf, size_t len, BN_CTX *);
 367 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 368                       const EC_POINT *b, BN_CTX *);
 369 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 370                       BN_CTX *);
 371 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 372 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 373 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 374 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 375                       BN_CTX *);
 376 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 377 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
 378                                      EC_POINT *[], BN_CTX *);
 379 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 380                             const BIGNUM *b, BN_CTX *);
 381 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 382                             BN_CTX *);
 383
 384 /* method functions in ecp_mont.c */
 385 int ec_GFp_mont_group_init(EC_GROUP *);
 386 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 387                                 const BIGNUM *b, BN_CTX *);
 388 void ec_GFp_mont_group_finish(EC_GROUP *);
 389 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
 390 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
 391 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 392                           const BIGNUM *b, BN_CTX *);
 393 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 394                           BN_CTX *);
 395 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 396                              BN_CTX *);
 397 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 398                              BN_CTX *);
 399 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
 400
 401 /* method functions in ecp_nist.c */
 402 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
 403 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 404                                 const BIGNUM *b, BN_CTX *);
 405 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 406                           const BIGNUM *b, BN_CTX *);
 407 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 408                           BN_CTX *);
 409
 410 /* method functions in ec2_smpl.c */
 411 int ec_GF2m_simple_group_init(EC_GROUP *);
 412 void ec_GF2m_simple_group_finish(EC_GROUP *);
 413 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
 414 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 415 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 416                                    const BIGNUM *a, const BIGNUM *b,
 417                                    BN_CTX *);
 418 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 419                                    BIGNUM *b, BN_CTX *);
 420 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
 421 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 422 int ec_GF2m_simple_point_init(EC_POINT *);
 423 void ec_GF2m_simple_point_finish(EC_POINT *);
 424 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
 425 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
 426 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 427 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 428                                                 const BIGNUM *x,
 429                                                 const BIGNUM *y, BN_CTX *);
 430 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
 431                                                 const EC_POINT *, BIGNUM *x,
 432                                                 BIGNUM *y, BN_CTX *);
 433 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 434                                               const BIGNUM *x, int y_bit,
 435                                               BN_CTX *);
 436 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 437                                 point_conversion_form_t form,
 438                                 unsigned char *buf, size_t len, BN_CTX *);
 439 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
 440                              const unsigned char *buf, size_t len, BN_CTX *);
 441 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 442                        const EC_POINT *b, BN_CTX *);
 443 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 444                        BN_CTX *);
 445 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 446 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 447 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 448 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 449                        BN_CTX *);
 450 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 451 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
 452                                       EC_POINT *[], BN_CTX *);
 453 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 454                              const BIGNUM *b, BN_CTX *);
 455 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 456                              BN_CTX *);
 457 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 458                              const BIGNUM *b, BN_CTX *);
 459
 460 /* method functions in ec2_mult.c */
 461 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
 462                        const BIGNUM *scalar, size_t num,
 463                        const EC_POINT *points[], const BIGNUM *scalars[],
 464                        BN_CTX *);
 465 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 466 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
 467
 468 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 469 /* method functions in ecp_nistp224.c */
 470 int ec_GFp_nistp224_group_init(EC_GROUP *group);
 471 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 472                                     const BIGNUM *a, const BIGNUM *n,
 473                                     BN_CTX *);
 474 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
 475                                                  const EC_POINT *point,
 476                                                  BIGNUM *x, BIGNUM *y,
 477                                                  BN_CTX *ctx);
 478 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
 479                         const BIGNUM *scalar, size_t num,
 480                         const EC_POINT *points[], const BIGNUM *scalars[],
 481                         BN_CTX *);
 482 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
 483                                const BIGNUM *scalar, size_t num,
 484                                const EC_POINT *points[],
 485                                const BIGNUM *scalars[], BN_CTX *ctx);
 486 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 487 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
 488
 489 /* method functions in ecp_nistp256.c */
 490 int ec_GFp_nistp256_group_init(EC_GROUP *group);
 491 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 492                                     const BIGNUM *a, const BIGNUM *n,
 493                                     BN_CTX *);
 494 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
 495                                                  const EC_POINT *point,
 496                                                  BIGNUM *x, BIGNUM *y,
 497                                                  BN_CTX *ctx);
 498 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
 499                         const BIGNUM *scalar, size_t num,
 500                         const EC_POINT *points[], const BIGNUM *scalars[],
 501                         BN_CTX *);
 502 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
 503                                const BIGNUM *scalar, size_t num,
 504                                const EC_POINT *points[],
 505                                const BIGNUM *scalars[], BN_CTX *ctx);
 506 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 507 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
 508
 509 /* method functions in ecp_nistp521.c */
 510 int ec_GFp_nistp521_group_init(EC_GROUP *group);
 511 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 512                                     const BIGNUM *a, const BIGNUM *n,
 513                                     BN_CTX *);
 514 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
 515                                                  const EC_POINT *point,
 516                                                  BIGNUM *x, BIGNUM *y,
 517                                                  BN_CTX *ctx);
 518 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
 519                         const BIGNUM *scalar, size_t num,
 520                         const EC_POINT *points[], const BIGNUM *scalars[],
 521                         BN_CTX *);
 522 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
 523                                const BIGNUM *scalar, size_t num,
 524                                const EC_POINT *points[],
 525                                const BIGNUM *scalars[], BN_CTX *ctx);
 526 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 527 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
 528
 529 /* utility functions in ecp_nistputil.c */
 530 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
 531                                               size_t felem_size,
 532                                               void *tmp_felems,
 533                                               void (*felem_one) (void *out),
 534                                               int (*felem_is_zero) (const void
 535                                                                     *in),
 536                                               void (*felem_assign) (void *out,
 537                                                                     const void
 538                                                                     *in),
 539                                               void (*felem_square) (void *out,
 540                                                                     const void
 541                                                                     *in),
 542                                               void (*felem_mul) (void *out,
 543                                                                  const void
 544                                                                  *in1,
 545                                                                  const void
 546                                                                  *in2),
 547                                               void (*felem_inv) (void *out,
 548                                                                  const void
 549                                                                  *in),
 550                                               void (*felem_contract) (void
 551                                                                       *out,
 552                                                                       const
 553                                                                       void
 554                                                                       *in));
 555 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
 556                                      unsigned char *digit, unsigned char in);
 557 #endif
 558 int ec_precompute_mont_data(EC_GROUP *);
 559
 560 #ifdef ECP_NISTZ256_ASM
 561 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
 562  * P256. See http://eprint.iacr.org/2013/816.
 563  *  \return  EC_METHOD object
 564  */
 565 const EC_METHOD *EC_GFp_nistz256_method(void);
 566 #endif
 567
 568 /* EC_METHOD definitions */
 569
 570 struct ec_key_method_st {
 571     const char *name;
 572     int32_t flags;
 573     int (*init)(EC_KEY *key);
 574     void (*finish)(EC_KEY *key);
 575     int (*copy)(EC_KEY *dest, const EC_KEY *src);
 576     int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
 577     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
 578     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
 579     int (*keygen)(EC_KEY *key);
 580     int (*compute_key)(void *out, size_t outlen, const EC_POINT *pub_key,
 581                        const EC_KEY *ecdh,
 582                        void *(*KDF) (const void *in, size_t inlen,
 583                                      void *out, size_t *outlen));
 584
 585     int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
 586                 *sig, unsigned int *siglen, const BIGNUM *kinv,
 587                 const BIGNUM *r, EC_KEY *eckey);
 588     int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 589                       BIGNUM **rp);
 590     ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
 591                            const BIGNUM *in_kinv, const BIGNUM *in_r,
 592                            EC_KEY *eckey);
 593
 594     int (*verify)(int type, const unsigned char *dgst, int dgst_len,
 595                   const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 596     int (*verify_sig)(const unsigned char *dgst, int dgst_len,
 597                       const ECDSA_SIG *sig, EC_KEY *eckey);
 598 } /* EC_KEY_METHOD */ ;
 599
 600 #define EC_KEY_METHOD_DYNAMIC   1
 601
 602 int ossl_ec_key_gen(EC_KEY *eckey);
 603 int ossl_ecdh_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
 604                           const EC_KEY *ecdh,
 605                           void *(*KDF) (const void *in, size_t inlen,
 606                                         void *out, size_t *outlen));
 607
 608 struct ECDSA_SIG_st {
 609     BIGNUM *r;
 610     BIGNUM *s;
 611 };
 612
 613 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 614                           BIGNUM **rp);
 615 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
 616                     unsigned char *sig, unsigned int *siglen,
 617                     const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
 618 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
 619                                const BIGNUM *in_kinv, const BIGNUM *in_r,
 620                                EC_KEY *eckey);
 621 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
 622                       const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 623 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
 624                           const ECDSA_SIG *sig, EC_KEY *eckey);