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src/libdigidoc/openssl/crypto/ec/ec_lcl.h
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00001 /* crypto/ec/ec_lcl.h */
00002 /*
00003  * Originally written by Bodo Moeller for the OpenSSL project.
00004  */
00005 /* ====================================================================
00006  * Copyright (c) 1998-2003 The OpenSSL Project.  All rights reserved.
00007  *
00008  * Redistribution and use in source and binary forms, with or without
00009  * modification, are permitted provided that the following conditions
00010  * are met:
00011  *
00012  * 1. Redistributions of source code must retain the above copyright
00013  *    notice, this list of conditions and the following disclaimer. 
00014  *
00015  * 2. Redistributions in binary form must reproduce the above copyright
00016  *    notice, this list of conditions and the following disclaimer in
00017  *    the documentation and/or other materials provided with the
00018  *    distribution.
00019  *
00020  * 3. All advertising materials mentioning features or use of this
00021  *    software must display the following acknowledgment:
00022  *    "This product includes software developed by the OpenSSL Project
00023  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
00024  *
00025  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
00026  *    endorse or promote products derived from this software without
00027  *    prior written permission. For written permission, please contact
00028  *    openssl-core@openssl.org.
00029  *
00030  * 5. Products derived from this software may not be called "OpenSSL"
00031  *    nor may "OpenSSL" appear in their names without prior written
00032  *    permission of the OpenSSL Project.
00033  *
00034  * 6. Redistributions of any form whatsoever must retain the following
00035  *    acknowledgment:
00036  *    "This product includes software developed by the OpenSSL Project
00037  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
00038  *
00039  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
00040  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
00041  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
00042  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
00043  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
00044  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
00045  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
00046  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
00047  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
00048  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
00049  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
00050  * OF THE POSSIBILITY OF SUCH DAMAGE.
00051  * ====================================================================
00052  *
00053  * This product includes cryptographic software written by Eric Young
00054  * (eay@cryptsoft.com).  This product includes software written by Tim
00055  * Hudson (tjh@cryptsoft.com).
00056  *
00057  */
00058 /* ====================================================================
00059  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
00060  *
00061  * Portions of the attached software ("Contribution") are developed by 
00062  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
00063  *
00064  * The Contribution is licensed pursuant to the OpenSSL open source
00065  * license provided above.
00066  *
00067  * The elliptic curve binary polynomial software is originally written by 
00068  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
00069  *
00070  */
00071 
00072 
00073 #include <stdlib.h>
00074 
00075 #include <openssl/obj_mac.h>
00076 #include <openssl/ec.h>
00077 #include <openssl/bn.h>
00078 
00079 #if defined(__SUNPRO_C)
00080 # if __SUNPRO_C >= 0x520
00081 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
00082 # endif
00083 #endif
00084 
00085 /* Structure details are not part of the exported interface,
00086  * so all this may change in future versions. */
00087 
00088 struct ec_method_st {
00089         /* used by EC_METHOD_get_field_type: */
00090         int field_type; /* a NID */
00091 
00092         /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
00093         int (*group_init)(EC_GROUP *);
00094         void (*group_finish)(EC_GROUP *);
00095         void (*group_clear_finish)(EC_GROUP *);
00096         int (*group_copy)(EC_GROUP *, const EC_GROUP *);
00097 
00098         /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
00099         /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
00100         int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00101         int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
00102 
00103         /* used by EC_GROUP_get_degree: */
00104         int (*group_get_degree)(const EC_GROUP *);
00105 
00106         /* used by EC_GROUP_check: */
00107         int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
00108 
00109         /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
00110         int (*point_init)(EC_POINT *);
00111         void (*point_finish)(EC_POINT *);
00112         void (*point_clear_finish)(EC_POINT *);
00113         int (*point_copy)(EC_POINT *, const EC_POINT *);
00114 
00115         /* used by EC_POINT_set_to_infinity,
00116          * EC_POINT_set_Jprojective_coordinates_GFp,
00117          * EC_POINT_get_Jprojective_coordinates_GFp,
00118          * EC_POINT_set_affine_coordinates_GFp,     ..._GF2m,
00119          * EC_POINT_get_affine_coordinates_GFp,     ..._GF2m,
00120          * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
00121          */
00122         int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
00123         int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
00124                 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
00125         int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
00126                 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
00127         int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
00128                 const BIGNUM *x, const BIGNUM *y, BN_CTX *);
00129         int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
00130                 BIGNUM *x, BIGNUM *y, BN_CTX *);
00131         int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
00132                 const BIGNUM *x, int y_bit, BN_CTX *);
00133 
00134         /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
00135         size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
00136                 unsigned char *buf, size_t len, BN_CTX *);
00137         int (*oct2point)(const EC_GROUP *, EC_POINT *,
00138                 const unsigned char *buf, size_t len, BN_CTX *);
00139 
00140         /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
00141         int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00142         int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
00143         int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
00144 
00145         /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
00146         int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
00147         int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
00148         int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00149 
00150         /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
00151         int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
00152         int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
00153 
00154         /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult
00155          * (default implementations are used if the 'mul' pointer is 0): */
00156         int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
00157                 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
00158         int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
00159         int (*have_precompute_mult)(const EC_GROUP *group);
00160 
00161 
00162         /* internal functions */
00163 
00164         /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that
00165          * the same implementations of point operations can be used with different
00166          * optimized implementations of expensive field operations: */
00167         int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00168         int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00169         int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00170 
00171         int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
00172         int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
00173         int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
00174 } /* EC_METHOD */;
00175 
00176 typedef struct ec_extra_data_st {
00177         struct ec_extra_data_st *next;
00178         void *data;
00179         void *(*dup_func)(void *);
00180         void (*free_func)(void *);
00181         void (*clear_free_func)(void *);
00182 } EC_EXTRA_DATA; /* used in EC_GROUP */
00183 
00184 struct ec_group_st {
00185         const EC_METHOD *meth;
00186 
00187         EC_POINT *generator; /* optional */
00188         BIGNUM order, cofactor;
00189 
00190         int curve_name;/* optional NID for named curve */
00191         int asn1_flag; /* flag to control the asn1 encoding */
00192         point_conversion_form_t asn1_form;
00193 
00194         unsigned char *seed; /* optional seed for parameters (appears in ASN1) */
00195         size_t seed_len;
00196 
00197         EC_EXTRA_DATA *extra_data; /* linked list */
00198 
00199         /* The following members are handled by the method functions,
00200          * even if they appear generic */
00201         
00202         BIGNUM field; /* Field specification.
00203                        * For curves over GF(p), this is the modulus;
00204                        * for curves over GF(2^m), this is the 
00205                        * irreducible polynomial defining the field.
00206                        */
00207 
00208         unsigned int poly[5]; /* Field specification for curves over GF(2^m).
00209                                * The irreducible f(t) is then of the form:
00210                                *     t^poly[0] + t^poly[1] + ... + t^poly[k]
00211                                * where m = poly[0] > poly[1] > ... > poly[k] = 0.
00212                                */
00213 
00214         BIGNUM a, b; /* Curve coefficients.
00215                       * (Here the assumption is that BIGNUMs can be used
00216                       * or abused for all kinds of fields, not just GF(p).)
00217                       * For characteristic  > 3,  the curve is defined
00218                       * by a Weierstrass equation of the form
00219                       *     y^2 = x^3 + a*x + b.
00220                       * For characteristic  2,  the curve is defined by
00221                       * an equation of the form
00222                       *     y^2 + x*y = x^3 + a*x^2 + b.
00223                       */
00224 
00225         int a_is_minus3; /* enable optimized point arithmetics for special case */
00226 
00227         void *field_data1; /* method-specific (e.g., Montgomery structure) */
00228         void *field_data2; /* method-specific */
00229         int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
00230 } /* EC_GROUP */;
00231 
00232 struct ec_key_st {
00233         int version;
00234 
00235         EC_GROUP *group;
00236 
00237         EC_POINT *pub_key;
00238         BIGNUM   *priv_key;
00239 
00240         unsigned int enc_flag;
00241         point_conversion_form_t conv_form;
00242 
00243         int     references;
00244 
00245         EC_EXTRA_DATA *method_data;
00246 } /* EC_KEY */;
00247 
00248 /* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only
00249  * (with visibility limited to 'package' level for now).
00250  * We use the function pointers as index for retrieval; this obviates
00251  * global ex_data-style index tables.
00252  */
00253 int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data,
00254         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
00255 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *,
00256         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
00257 void EC_EX_DATA_free_data(EC_EXTRA_DATA **,
00258         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
00259 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **,
00260         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
00261 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **);
00262 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **);
00263 
00264 
00265 
00266 struct ec_point_st {
00267         const EC_METHOD *meth;
00268 
00269         /* All members except 'meth' are handled by the method functions,
00270          * even if they appear generic */
00271 
00272         BIGNUM X;
00273         BIGNUM Y;
00274         BIGNUM Z; /* Jacobian projective coordinates:
00275                    * (X, Y, Z)  represents  (X/Z^2, Y/Z^3)  if  Z != 0 */
00276         int Z_is_one; /* enable optimized point arithmetics for special case */
00277 } /* EC_POINT */;
00278 
00279 
00280 
00281 /* method functions in ec_mult.c
00282  * (ec_lib.c uses these as defaults if group->method->mul is 0) */
00283 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
00284         size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
00285 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
00286 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
00287 
00288 
00289 /* method functions in ecp_smpl.c */
00290 int ec_GFp_simple_group_init(EC_GROUP *);
00291 void ec_GFp_simple_group_finish(EC_GROUP *);
00292 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
00293 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
00294 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00295 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
00296 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
00297 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
00298 int ec_GFp_simple_point_init(EC_POINT *);
00299 void ec_GFp_simple_point_finish(EC_POINT *);
00300 void ec_GFp_simple_point_clear_finish(EC_POINT *);
00301 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
00302 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
00303 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
00304         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
00305 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
00306         BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
00307 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
00308         const BIGNUM *x, const BIGNUM *y, BN_CTX *);
00309 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
00310         BIGNUM *x, BIGNUM *y, BN_CTX *);
00311 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
00312         const BIGNUM *x, int y_bit, BN_CTX *);
00313 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
00314         unsigned char *buf, size_t len, BN_CTX *);
00315 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
00316         const unsigned char *buf, size_t len, BN_CTX *);
00317 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00318 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
00319 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
00320 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
00321 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
00322 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00323 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
00324 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
00325 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00326 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00327 
00328 
00329 /* method functions in ecp_mont.c */
00330 int ec_GFp_mont_group_init(EC_GROUP *);
00331 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00332 void ec_GFp_mont_group_finish(EC_GROUP *);
00333 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
00334 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
00335 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00336 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00337 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00338 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00339 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
00340 
00341 
00342 /* method functions in ecp_nist.c */
00343 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
00344 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00345 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00346 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00347 
00348 
00349 /* method functions in ec2_smpl.c */
00350 int ec_GF2m_simple_group_init(EC_GROUP *);
00351 void ec_GF2m_simple_group_finish(EC_GROUP *);
00352 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
00353 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
00354 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00355 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
00356 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
00357 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
00358 int ec_GF2m_simple_point_init(EC_POINT *);
00359 void ec_GF2m_simple_point_finish(EC_POINT *);
00360 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
00361 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
00362 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
00363 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
00364         const BIGNUM *x, const BIGNUM *y, BN_CTX *);
00365 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
00366         BIGNUM *x, BIGNUM *y, BN_CTX *);
00367 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
00368         const BIGNUM *x, int y_bit, BN_CTX *);
00369 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
00370         unsigned char *buf, size_t len, BN_CTX *);
00371 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
00372         const unsigned char *buf, size_t len, BN_CTX *);
00373 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00374 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
00375 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
00376 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
00377 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
00378 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
00379 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
00380 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
00381 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00382 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
00383 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
00384 
00385 
00386 /* method functions in ec2_mult.c */
00387 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
00388         size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
00389 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
00390 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
 Todo Clases Namespaces Archivos Funciones Variables 'typedefs' Enumeraciones Valores de enumeraciones Propiedades Amigas 'defines'