crypto/ec/ec_lcl.h

   1 /*
   2  * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
   3  *
   4  * Licensed under the OpenSSL license (the "License").  You may not use
   5  * this file except in compliance with the License.  You can obtain a copy
   6  * in the file LICENSE in the source distribution or at
   7  * https://www.openssl.org/source/license.html
   8  */
   9
  10 /* ====================================================================
  11  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  12  *
  13  * Portions of the attached software ("Contribution") are developed by
  14  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  15  *
  16  * The Contribution is licensed pursuant to the OpenSSL open source
  17  * license provided above.
  18  *
  19  * The elliptic curve binary polynomial software is originally written by
  20  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  21  *
  22  */
  23
  24 #include <stdlib.h>
  25
  26 #include <openssl/obj_mac.h>
  27 #include <openssl/ec.h>
  28 #include <openssl/bn.h>
  29
  30 #include "e_os.h"
  31
  32 #if defined(__SUNPRO_C)
  33 # if __SUNPRO_C >= 0x520
  34 #  pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
  35 # endif
  36 #endif
  37
  38 /* Use default functions for poin2oct, oct2point and compressed coordinates */
  39 #define EC_FLAGS_DEFAULT_OCT    0x1
  40
  41 /* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
  42 #define EC_FLAGS_CUSTOM_CURVE   0x2
  43
  44 /* Curve does not support signing operations */
  45 #define EC_FLAGS_NO_SIGN        0x4
  46
  47 /*
  48  * Structure details are not part of the exported interface, so all this may
  49  * change in future versions.
  50  */
  51
  52 struct ec_method_st {
  53     /* Various method flags */
  54     int flags;
  55     /* used by EC_METHOD_get_field_type: */
  56     int field_type;             /* a NID */
  57     /*
  58      * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
  59      * EC_GROUP_copy:
  60      */
  61     int (*group_init) (EC_GROUP *);
  62     void (*group_finish) (EC_GROUP *);
  63     void (*group_clear_finish) (EC_GROUP *);
  64     int (*group_copy) (EC_GROUP *, const EC_GROUP *);
  65     /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
  66     /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
  67     int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
  68                             const BIGNUM *b, BN_CTX *);
  69     int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
  70                             BN_CTX *);
  71     /* used by EC_GROUP_get_degree: */
  72     int (*group_get_degree) (const EC_GROUP *);
  73     int (*group_order_bits) (const EC_GROUP *);
  74     /* used by EC_GROUP_check: */
  75     int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
  76     /*
  77      * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
  78      * EC_POINT_copy:
  79      */
  80     int (*point_init) (EC_POINT *);
  81     void (*point_finish) (EC_POINT *);
  82     void (*point_clear_finish) (EC_POINT *);
  83     int (*point_copy) (EC_POINT *, const EC_POINT *);
  84     /*-
  85      * used by EC_POINT_set_to_infinity,
  86      * EC_POINT_set_Jprojective_coordinates_GFp,
  87      * EC_POINT_get_Jprojective_coordinates_GFp,
  88      * EC_POINT_set_affine_coordinates_GFp,     ..._GF2m,
  89      * EC_POINT_get_affine_coordinates_GFp,     ..._GF2m,
  90      * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
  91      */
  92     int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
  93     int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *,
  94                                                   EC_POINT *, const BIGNUM *x,
  95                                                   const BIGNUM *y,
  96                                                   const BIGNUM *z, BN_CTX *);
  97     int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *,
  98                                                   const EC_POINT *, BIGNUM *x,
  99                                                   BIGNUM *y, BIGNUM *z,
 100                                                   BN_CTX *);
 101     int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
 102                                          const BIGNUM *x, const BIGNUM *y,
 103                                          BN_CTX *);
 104     int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
 105                                          BIGNUM *x, BIGNUM *y, BN_CTX *);
 106     int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
 107                                              const BIGNUM *x, int y_bit,
 108                                              BN_CTX *);
 109     /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
 110     size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
 111                          point_conversion_form_t form, unsigned char *buf,
 112                          size_t len, BN_CTX *);
 113     int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
 114                       size_t len, BN_CTX *);
 115     /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
 116     int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 117                 const EC_POINT *b, BN_CTX *);
 118     int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 119     int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 120     /*
 121      * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
 122      */
 123     int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
 124     int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
 125     int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 126                       BN_CTX *);
 127     /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
 128     int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
 129     int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
 130                                BN_CTX *);
 131     /*
 132      * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
 133      * EC_POINT_have_precompute_mult (default implementations are used if the
 134      * 'mul' pointer is 0):
 135      */
 136     int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 137                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 138                 BN_CTX *);
 139     int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
 140     int (*have_precompute_mult) (const EC_GROUP *group);
 141     /* internal functions */
 142     /*
 143      * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
 144      * 'dbl' so that the same implementations of point operations can be used
 145      * with different optimized implementations of expensive field
 146      * operations:
 147      */
 148     int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 149                       const BIGNUM *b, BN_CTX *);
 150     int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
 151     int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 152                       const BIGNUM *b, BN_CTX *);
 153     /* e.g. to Montgomery */
 154     int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 155                          BN_CTX *);
 156     /* e.g. from Montgomery */
 157     int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 158                          BN_CTX *);
 159     int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
 160     /* private key operations */
 161     size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
 162     int (*oct2priv)(EC_KEY *eckey, unsigned char *buf, size_t len);
 163     int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
 164     int (*keygen)(EC_KEY *eckey);
 165     int (*keycheck)(const EC_KEY *eckey);
 166     int (*keygenpub)(EC_KEY *eckey);
 167     int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
 168     void (*keyfinish)(EC_KEY *eckey);
 169     /* custom ECDH operation */
 170     int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
 171                             const EC_POINT *pub_key, const EC_KEY *ecdh);
 172 } /* EC_METHOD */ ;
 173
 174 /*
 175  * Types and functions to manipulate pre-computed values.
 176  */
 177 typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
 178 typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
 179 typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
 180 typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
 181 typedef struct ec_pre_comp_st EC_PRE_COMP;
 182
 183 struct ec_group_st {
 184     const EC_METHOD *meth;
 185     EC_POINT *generator;        /* optional */
 186     BIGNUM *order, *cofactor;
 187     int curve_name;             /* optional NID for named curve */
 188     int asn1_flag;              /* flag to control the asn1 encoding */
 189     point_conversion_form_t asn1_form;
 190     unsigned char *seed;        /* optional seed for parameters (appears in
 191                                  * ASN1) */
 192     size_t seed_len;
 193     /*
 194      * The following members are handled by the method functions, even if
 195      * they appear generic
 196      */
 197     /*
 198      * Field specification. For curves over GF(p), this is the modulus; for
 199      * curves over GF(2^m), this is the irreducible polynomial defining the
 200      * field.
 201      */
 202     BIGNUM *field;
 203     /*
 204      * Field specification for curves over GF(2^m). The irreducible f(t) is
 205      * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
 206      * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
 207      * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
 208      * terms.
 209      */
 210     int poly[6];
 211     /*
 212      * Curve coefficients. (Here the assumption is that BIGNUMs can be used
 213      * or abused for all kinds of fields, not just GF(p).) For characteristic
 214      * > 3, the curve is defined by a Weierstrass equation of the form y^2 =
 215      * x^3 + a*x + b. For characteristic 2, the curve is defined by an
 216      * equation of the form y^2 + x*y = x^3 + a*x^2 + b.
 217      */
 218     BIGNUM *a, *b;
 219     /* enable optimized point arithmetics for special case */
 220     int a_is_minus3;
 221     /* method-specific (e.g., Montgomery structure) */
 222     void *field_data1;
 223     /* method-specific */
 224     void *field_data2;
 225     /* method-specific */
 226     int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
 227                            BN_CTX *);
 228     /* data for ECDSA inverse */
 229     BN_MONT_CTX *mont_data;
 230
 231     /* precomputed values for speed. */
 232     enum {
 233         pct_none,
 234         pct_nistp224, pct_nistp256, pct_nistp521, pct_nistz256,
 235         pct_ec } pre_comp_type;
 236     union {
 237         NISTP224_PRE_COMP *nistp224;
 238         NISTP256_PRE_COMP *nistp256;
 239         NISTP521_PRE_COMP *nistp521;
 240         NISTZ256_PRE_COMP *nistz256;
 241         EC_PRE_COMP *ec;
 242     } pre_comp;
 243 } /* EC_GROUP */ ;
 244
 245 #define SETPRECOMP(g, type, pre) \
 246     g->pre_comp_type = pct_##type, g->pre_comp.type = pre
 247 #define HAVEPRECOMP(g, type) \
 248     g->pre_comp_type == pct_##type && g->pre_comp.type != NULL
 249
 250 struct ec_key_st {
 251     const EC_KEY_METHOD *meth;
 252     ENGINE *engine;
 253     int version;
 254     EC_GROUP *group;
 255     EC_POINT *pub_key;
 256     BIGNUM *priv_key;
 257     /*
 258      * Arbitrary extra data.
 259      * For example in X25519 this contains the raw private key in a 32 byte
 260      * buffer.
 261      */
 262     void *custom_data;
 263     unsigned int enc_flag;
 264     point_conversion_form_t conv_form;
 265     int references;
 266     int flags;
 267     CRYPTO_EX_DATA ex_data;
 268     CRYPTO_RWLOCK *lock;
 269 } /* EC_KEY */ ;
 270
 271 struct ec_point_st {
 272     const EC_METHOD *meth;
 273     /*
 274      * All members except 'meth' are handled by the method functions, even if
 275      * they appear generic
 276      */
 277     BIGNUM *X;
 278     BIGNUM *Y;
 279     BIGNUM *Z;                  /* Jacobian projective coordinates: * (X, Y,
 280                                  * Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
 281     int Z_is_one;               /* enable optimized point arithmetics for
 282                                  * special case */
 283     /*
 284      * Arbitrary extra data.
 285      * For example in X25519 this contains the public key in a 32 byte buffer.
 286      */
 287     void *custom_data;
 288 } /* EC_POINT */ ;
 289
 290 NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
 291 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 292 NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
 293 NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
 294 NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
 295 EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
 296
 297 void EC_pre_comp_free(EC_GROUP *group);
 298 void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
 299 void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
 300 void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
 301 void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
 302 void EC_ec_pre_comp_free(EC_PRE_COMP *);
 303
 304 /*
 305  * method functions in ec_mult.c (ec_lib.c uses these as defaults if
 306  * group->method->mul is 0)
 307  */
 308 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
 309                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
 310                 BN_CTX *);
 311 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
 312 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
 313
 314 /* method functions in ecp_smpl.c */
 315 int ec_GFp_simple_group_init(EC_GROUP *);
 316 void ec_GFp_simple_group_finish(EC_GROUP *);
 317 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
 318 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 319 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 320                                   const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 321 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 322                                   BIGNUM *b, BN_CTX *);
 323 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
 324 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 325 int ec_GFp_simple_point_init(EC_POINT *);
 326 void ec_GFp_simple_point_finish(EC_POINT *);
 327 void ec_GFp_simple_point_clear_finish(EC_POINT *);
 328 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
 329 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 330 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
 331                                                   EC_POINT *, const BIGNUM *x,
 332                                                   const BIGNUM *y,
 333                                                   const BIGNUM *z, BN_CTX *);
 334 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
 335                                                   const EC_POINT *, BIGNUM *x,
 336                                                   BIGNUM *y, BIGNUM *z,
 337                                                   BN_CTX *);
 338 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 339                                                const BIGNUM *x,
 340                                                const BIGNUM *y, BN_CTX *);
 341 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
 342                                                const EC_POINT *, BIGNUM *x,
 343                                                BIGNUM *y, BN_CTX *);
 344 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 345                                              const BIGNUM *x, int y_bit,
 346                                              BN_CTX *);
 347 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 348                                point_conversion_form_t form,
 349                                unsigned char *buf, size_t len, BN_CTX *);
 350 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
 351                             const unsigned char *buf, size_t len, BN_CTX *);
 352 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 353                       const EC_POINT *b, BN_CTX *);
 354 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 355                       BN_CTX *);
 356 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 357 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 358 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 359 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 360                       BN_CTX *);
 361 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 362 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
 363                                      EC_POINT *[], BN_CTX *);
 364 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 365                             const BIGNUM *b, BN_CTX *);
 366 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 367                             BN_CTX *);
 368
 369 /* method functions in ecp_mont.c */
 370 int ec_GFp_mont_group_init(EC_GROUP *);
 371 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 372                                 const BIGNUM *b, BN_CTX *);
 373 void ec_GFp_mont_group_finish(EC_GROUP *);
 374 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
 375 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
 376 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 377                           const BIGNUM *b, BN_CTX *);
 378 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 379                           BN_CTX *);
 380 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 381                              BN_CTX *);
 382 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 383                              BN_CTX *);
 384 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
 385
 386 /* method functions in ecp_nist.c */
 387 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
 388 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 389                                 const BIGNUM *b, BN_CTX *);
 390 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 391                           const BIGNUM *b, BN_CTX *);
 392 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 393                           BN_CTX *);
 394
 395 /* method functions in ec2_smpl.c */
 396 int ec_GF2m_simple_group_init(EC_GROUP *);
 397 void ec_GF2m_simple_group_finish(EC_GROUP *);
 398 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
 399 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
 400 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
 401                                    const BIGNUM *a, const BIGNUM *b,
 402                                    BN_CTX *);
 403 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
 404                                    BIGNUM *b, BN_CTX *);
 405 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
 406 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
 407 int ec_GF2m_simple_point_init(EC_POINT *);
 408 void ec_GF2m_simple_point_finish(EC_POINT *);
 409 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
 410 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
 411 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
 412 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
 413                                                 const BIGNUM *x,
 414                                                 const BIGNUM *y, BN_CTX *);
 415 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
 416                                                 const EC_POINT *, BIGNUM *x,
 417                                                 BIGNUM *y, BN_CTX *);
 418 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
 419                                               const BIGNUM *x, int y_bit,
 420                                               BN_CTX *);
 421 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
 422                                 point_conversion_form_t form,
 423                                 unsigned char *buf, size_t len, BN_CTX *);
 424 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
 425                              const unsigned char *buf, size_t len, BN_CTX *);
 426 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 427                        const EC_POINT *b, BN_CTX *);
 428 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 429                        BN_CTX *);
 430 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 431 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 432 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 433 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 434                        BN_CTX *);
 435 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 436 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
 437                                       EC_POINT *[], BN_CTX *);
 438 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 439                              const BIGNUM *b, BN_CTX *);
 440 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 441                              BN_CTX *);
 442 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
 443                              const BIGNUM *b, BN_CTX *);
 444
 445 /* method functions in ec2_mult.c */
 446 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
 447                        const BIGNUM *scalar, size_t num,
 448                        const EC_POINT *points[], const BIGNUM *scalars[],
 449                        BN_CTX *);
 450 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 451 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
 452
 453 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 454 /* method functions in ecp_nistp224.c */
 455 int ec_GFp_nistp224_group_init(EC_GROUP *group);
 456 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 457                                     const BIGNUM *a, const BIGNUM *n,
 458                                     BN_CTX *);
 459 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
 460                                                  const EC_POINT *point,
 461                                                  BIGNUM *x, BIGNUM *y,
 462                                                  BN_CTX *ctx);
 463 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
 464                         const BIGNUM *scalar, size_t num,
 465                         const EC_POINT *points[], const BIGNUM *scalars[],
 466                         BN_CTX *);
 467 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
 468                                const BIGNUM *scalar, size_t num,
 469                                const EC_POINT *points[],
 470                                const BIGNUM *scalars[], BN_CTX *ctx);
 471 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 472 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
 473
 474 /* method functions in ecp_nistp256.c */
 475 int ec_GFp_nistp256_group_init(EC_GROUP *group);
 476 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 477                                     const BIGNUM *a, const BIGNUM *n,
 478                                     BN_CTX *);
 479 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
 480                                                  const EC_POINT *point,
 481                                                  BIGNUM *x, BIGNUM *y,
 482                                                  BN_CTX *ctx);
 483 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
 484                         const BIGNUM *scalar, size_t num,
 485                         const EC_POINT *points[], const BIGNUM *scalars[],
 486                         BN_CTX *);
 487 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
 488                                const BIGNUM *scalar, size_t num,
 489                                const EC_POINT *points[],
 490                                const BIGNUM *scalars[], BN_CTX *ctx);
 491 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 492 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
 493
 494 /* method functions in ecp_nistp521.c */
 495 int ec_GFp_nistp521_group_init(EC_GROUP *group);
 496 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
 497                                     const BIGNUM *a, const BIGNUM *n,
 498                                     BN_CTX *);
 499 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
 500                                                  const EC_POINT *point,
 501                                                  BIGNUM *x, BIGNUM *y,
 502                                                  BN_CTX *ctx);
 503 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
 504                         const BIGNUM *scalar, size_t num,
 505                         const EC_POINT *points[], const BIGNUM *scalars[],
 506                         BN_CTX *);
 507 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
 508                                const BIGNUM *scalar, size_t num,
 509                                const EC_POINT *points[],
 510                                const BIGNUM *scalars[], BN_CTX *ctx);
 511 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 512 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
 513
 514 /* utility functions in ecp_nistputil.c */
 515 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
 516                                               size_t felem_size,
 517                                               void *tmp_felems,
 518                                               void (*felem_one) (void *out),
 519                                               int (*felem_is_zero) (const void
 520                                                                     *in),
 521                                               void (*felem_assign) (void *out,
 522                                                                     const void
 523                                                                     *in),
 524                                               void (*felem_square) (void *out,
 525                                                                     const void
 526                                                                     *in),
 527                                               void (*felem_mul) (void *out,
 528                                                                  const void
 529                                                                  *in1,
 530                                                                  const void
 531                                                                  *in2),
 532                                               void (*felem_inv) (void *out,
 533                                                                  const void
 534                                                                  *in),
 535                                               void (*felem_contract) (void
 536                                                                       *out,
 537                                                                       const
 538                                                                       void
 539                                                                       *in));
 540 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
 541                                      unsigned char *digit, unsigned char in);
 542 #endif
 543 int ec_precompute_mont_data(EC_GROUP *);
 544 int ec_group_simple_order_bits(const EC_GROUP *group);
 545
 546 #ifdef ECP_NISTZ256_ASM
 547 /** Returns GFp methods using montgomery multiplication, with x86-64 optimized
 548  * P256. See http://eprint.iacr.org/2013/816.
 549  *  \return  EC_METHOD object
 550  */
 551 const EC_METHOD *EC_GFp_nistz256_method(void);
 552 #endif
 553
 554 size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
 555                               unsigned char *buf, size_t len);
 556 int ec_key_simple_oct2priv(EC_KEY *eckey, unsigned char *buf, size_t len);
 557 int ec_key_simple_generate_key(EC_KEY *eckey);
 558 int ec_key_simple_generate_public_key(EC_KEY *eckey);
 559 int ec_key_simple_check_key(const EC_KEY *eckey);
 560
 561 /* EC_METHOD definitions */
 562
 563 struct ec_key_method_st {
 564     const char *name;
 565     int32_t flags;
 566     int (*init)(EC_KEY *key);
 567     void (*finish)(EC_KEY *key);
 568     int (*copy)(EC_KEY *dest, const EC_KEY *src);
 569     int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
 570     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
 571     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
 572     int (*keygen)(EC_KEY *key);
 573     int (*compute_key)(unsigned char **pout, size_t *poutlen,
 574                        const EC_POINT *pub_key, const EC_KEY *ecdh);
 575     int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
 576                 *sig, unsigned int *siglen, const BIGNUM *kinv,
 577                 const BIGNUM *r, EC_KEY *eckey);
 578     int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 579                       BIGNUM **rp);
 580     ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
 581                            const BIGNUM *in_kinv, const BIGNUM *in_r,
 582                            EC_KEY *eckey);
 583
 584     int (*verify)(int type, const unsigned char *dgst, int dgst_len,
 585                   const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 586     int (*verify_sig)(const unsigned char *dgst, int dgst_len,
 587                       const ECDSA_SIG *sig, EC_KEY *eckey);
 588 } /* EC_KEY_METHOD */ ;
 589
 590 #define EC_KEY_METHOD_DYNAMIC   1
 591
 592 int ossl_ec_key_gen(EC_KEY *eckey);
 593 int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
 594                           const EC_POINT *pub_key, const EC_KEY *ecdh);
 595 int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
 596                             const EC_POINT *pub_key, const EC_KEY *ecdh);
 597
 598 struct ECDSA_SIG_st {
 599     BIGNUM *r;
 600     BIGNUM *s;
 601 };
 602
 603 int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
 604                           BIGNUM **rp);
 605 int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
 606                     unsigned char *sig, unsigned int *siglen,
 607                     const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
 608 ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
 609                                const BIGNUM *in_kinv, const BIGNUM *in_r,
 610                                EC_KEY *eckey);
 611 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
 612                       const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
 613 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
 614                           const ECDSA_SIG *sig, EC_KEY *eckey);
 615
 616 const EC_METHOD *ec_x25519_meth(void);
 617
 618 int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
 619            const uint8_t peer_public_value[32]);
 620 void X25519_public_from_private(uint8_t out_public_value[32],
 621                                 const uint8_t private_key[32]);