crypto/ec/ec_lcl.h

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