| /* Originally written by Bodo Moeller for the OpenSSL project. |
| * ==================================================================== |
| * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. |
| * |
| * Redistribution and use in source and binary forms, with or without |
| * modification, are permitted provided that the following conditions |
| * are met: |
| * |
| * 1. Redistributions of source code must retain the above copyright |
| * notice, this list of conditions and the following disclaimer. |
| * |
| * 2. Redistributions in binary form must reproduce the above copyright |
| * notice, this list of conditions and the following disclaimer in |
| * the documentation and/or other materials provided with the |
| * distribution. |
| * |
| * 3. All advertising materials mentioning features or use of this |
| * software must display the following acknowledgment: |
| * "This product includes software developed by the OpenSSL Project |
| * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" |
| * |
| * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to |
| * endorse or promote products derived from this software without |
| * prior written permission. For written permission, please contact |
| * openssl-core@openssl.org. |
| * |
| * 5. Products derived from this software may not be called "OpenSSL" |
| * nor may "OpenSSL" appear in their names without prior written |
| * permission of the OpenSSL Project. |
| * |
| * 6. Redistributions of any form whatsoever must retain the following |
| * acknowledgment: |
| * "This product includes software developed by the OpenSSL Project |
| * for use in the OpenSSL Toolkit (http://www.openssl.org/)" |
| * |
| * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY |
| * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
| * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR |
| * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
| * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
| * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, |
| * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
| * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED |
| * OF THE POSSIBILITY OF SUCH DAMAGE. |
| * ==================================================================== |
| * |
| * This product includes cryptographic software written by Eric Young |
| * (eay@cryptsoft.com). This product includes software written by Tim |
| * Hudson (tjh@cryptsoft.com). |
| * |
| */ |
| /* ==================================================================== |
| * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. |
| * |
| * Portions of the attached software ("Contribution") are developed by |
| * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. |
| * |
| * The Contribution is licensed pursuant to the OpenSSL open source |
| * license provided above. |
| * |
| * The elliptic curve binary polynomial software is originally written by |
| * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems |
| * Laboratories. */ |
| |
| #ifndef OPENSSL_HEADER_EC_H |
| #define OPENSSL_HEADER_EC_H |
| |
| #include <openssl/base.h> |
| |
| #if defined(__cplusplus) |
| extern "C" { |
| #endif |
| |
| |
| /* Low-level operations on elliptic curves. */ |
| |
| |
| typedef struct ec_group_st EC_GROUP; |
| typedef struct ec_point_st EC_POINT; |
| |
| /** Enum for the point conversion form as defined in X9.62 (ECDSA) |
| * for the encoding of a elliptic curve point (x,y) */ |
| typedef enum { |
| /** the point is encoded as z||x, where the octet z specifies |
| * which solution of the quadratic equation y is */ |
| POINT_CONVERSION_COMPRESSED = 2, |
| /** the point is encoded as z||x||y, where z is the octet 0x02 */ |
| POINT_CONVERSION_UNCOMPRESSED = 4 |
| } point_conversion_form_t; |
| |
| |
| /* Elliptic curve groups. */ |
| |
| /* EC_GROUP_new_by_curve_name returns a fresh EC_GROUP object for the elliptic |
| * curve specified by |nid|, or NULL on error. |
| * |
| * The supported NIDs are: |
| * NID_secp224r1, |
| * NID_X9_62_prime256v1, |
| * NID_secp384r1, |
| * NID_secp521r1 */ |
| OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_by_curve_name(int nid); |
| |
| /* EC_GROUP_free frees |group| and the data that it points to. */ |
| OPENSSL_EXPORT void EC_GROUP_free(EC_GROUP *group); |
| |
| /* EC_GROUP_dup returns a fresh |EC_GROUP| which is equal to |a| or NULL on |
| * error. */ |
| OPENSSL_EXPORT EC_GROUP *EC_GROUP_dup(const EC_GROUP *a); |
| |
| /* EC_GROUP_cmp returns zero if |a| and |b| are the same group and non-zero |
| * otherwise. */ |
| OPENSSL_EXPORT int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, |
| BN_CTX *ignored); |
| |
| /* EC_GROUP_get0_generator returns a pointer to the internal |EC_POINT| object |
| * in |group| that specifies the generator for the group. */ |
| OPENSSL_EXPORT const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); |
| |
| /* EC_GROUP_get_order sets |*order| to the order of |group|, if it's not |
| * NULL. It returns one on success and zero otherwise. |ctx| is ignored. */ |
| OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, |
| BN_CTX *ctx); |
| |
| /* EC_GROUP_get_cofactor sets |*cofactor| to the cofactor of |group| using |
| * |ctx|, if it's not NULL. It returns one on success and zero otherwise. */ |
| OPENSSL_EXPORT int EC_GROUP_get_cofactor(const EC_GROUP *group, |
| BIGNUM *cofactor, BN_CTX *ctx); |
| |
| /* EC_GROUP_get_curve_GFp gets various parameters about a group. It sets |
| * |*out_p| to the order of the coordinate field and |*out_a| and |*out_b| to |
| * the parameters of the curve when expressed as y² = x³ + ax + b. Any of the |
| * output parameters can be NULL. It returns one on success and zero on |
| * error. */ |
| OPENSSL_EXPORT int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, |
| BIGNUM *out_a, BIGNUM *out_b, |
| BN_CTX *ctx); |
| |
| /* EC_GROUP_get_curve_name returns a NID that identifies |group|. */ |
| OPENSSL_EXPORT int EC_GROUP_get_curve_name(const EC_GROUP *group); |
| |
| /* EC_GROUP_get_degree returns the number of bits needed to represent an |
| * element of the field underlying |group|. */ |
| OPENSSL_EXPORT int EC_GROUP_get_degree(const EC_GROUP *group); |
| |
| /* EC_GROUP_precompute_mult precomputes multiplies of the generator in order to |
| * speed up operations that involve calculating generator multiples. It returns |
| * one on sucess and zero otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); |
| |
| /* EC_GROUP_have_precompute_mult returns one if |group| contains precomputed |
| * generator multiples. */ |
| OPENSSL_EXPORT int EC_GROUP_have_precompute_mult(const EC_GROUP *group); |
| |
| |
| /* Points on elliptic curves. */ |
| |
| /* EC_POINT_new returns a fresh |EC_POINT| object in the given group, or NULL |
| * on error. */ |
| OPENSSL_EXPORT EC_POINT *EC_POINT_new(const EC_GROUP *group); |
| |
| /* EC_POINT_free frees |point| and the data that it points to. */ |
| OPENSSL_EXPORT void EC_POINT_free(EC_POINT *point); |
| |
| /* EC_POINT_clear_free clears the data that |point| points to, frees it and |
| * then frees |point| itself. */ |
| OPENSSL_EXPORT void EC_POINT_clear_free(EC_POINT *point); |
| |
| /* EC_POINT_copy sets |*dest| equal to |*src|. It returns one on success and |
| * zero otherwise. */ |
| OPENSSL_EXPORT int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src); |
| |
| /* EC_POINT_dup returns a fresh |EC_POINT| that contains the same values as |
| * |src|, or NULL on error. */ |
| OPENSSL_EXPORT EC_POINT *EC_POINT_dup(const EC_POINT *src, |
| const EC_GROUP *group); |
| |
| /* EC_POINT_set_to_infinity sets |point| to be the "point at infinity" for the |
| * given group. */ |
| OPENSSL_EXPORT int EC_POINT_set_to_infinity(const EC_GROUP *group, |
| EC_POINT *point); |
| |
| /* EC_POINT_is_at_infinity returns one iff |point| is the point at infinity and |
| * zero otherwise. */ |
| OPENSSL_EXPORT int EC_POINT_is_at_infinity(const EC_GROUP *group, |
| const EC_POINT *point); |
| |
| /* EC_POINT_is_on_curve returns one if |point| is an element of |group| and |
| * zero otheriwse. If |ctx| is non-NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_is_on_curve(const EC_GROUP *group, |
| const EC_POINT *point, BN_CTX *ctx); |
| |
| /* EC_POINT_cmp returns zero if |a| is equal to |b|, greater than zero is |
| * non-equal and -1 on error. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, |
| const EC_POINT *b, BN_CTX *ctx); |
| |
| /* EC_POINT_make_affine converts |point| to affine form, internally. It returns |
| * one on success and zero otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, |
| BN_CTX *ctx); |
| |
| /* EC_POINTs_make_affine converts |num| points from |points| to affine form, |
| * internally. It returns one on success and zero otherwise. If |ctx| is not |
| * NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, |
| EC_POINT *points[], BN_CTX *ctx); |
| |
| |
| /* Point conversion. */ |
| |
| /* EC_POINT_get_affine_coordinates_GFp sets |x| and |y| to the affine value of |
| * |point| using |ctx|, if it's not NULL. It returns one on success and zero |
| * otherwise. */ |
| OPENSSL_EXPORT int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, |
| const EC_POINT *point, |
| BIGNUM *x, BIGNUM *y, |
| BN_CTX *ctx); |
| |
| /* EC_POINT_set_affine_coordinates sets the value of |p| to be (|x|, |y|). The |
| * |ctx| argument may be used if not NULL. */ |
| OPENSSL_EXPORT int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, |
| EC_POINT *point, |
| const BIGNUM *x, |
| const BIGNUM *y, |
| BN_CTX *ctx); |
| |
| /* EC_POINT_point2oct serialises |point| into the X9.62 form given by |form| |
| * into, at most, |len| bytes at |buf|. It returns the number of bytes written |
| * or zero on error if |buf| is non-NULL, else the number of bytes needed. The |
| * |ctx| argument may be used if not NULL. */ |
| OPENSSL_EXPORT size_t EC_POINT_point2oct(const EC_GROUP *group, |
| const EC_POINT *point, |
| point_conversion_form_t form, |
| uint8_t *buf, size_t len, BN_CTX *ctx); |
| |
| /* EC_POINT_oct2point sets |point| from |len| bytes of X9.62 format |
| * serialisation in |buf|. It returns one on success and zero otherwise. The |
| * |ctx| argument may be used if not NULL. */ |
| OPENSSL_EXPORT int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point, |
| const uint8_t *buf, size_t len, |
| BN_CTX *ctx); |
| |
| /* EC_POINT_set_compressed_coordinates_GFp sets |point| to equal the point with |
| * the given |x| coordinate and the y coordinate specified by |y_bit| (see |
| * X9.62). It returns one on success and zero otherwise. */ |
| OPENSSL_EXPORT int EC_POINT_set_compressed_coordinates_GFp( |
| const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit, |
| BN_CTX *ctx); |
| |
| |
| /* Group operations. */ |
| |
| /* EC_POINT_add sets |r| equal to |a| plus |b|. It returns one on success and |
| * zero otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, |
| const EC_POINT *a, const EC_POINT *b, |
| BN_CTX *ctx); |
| |
| /* EC_POINT_dbl sets |r| equal to |a| plus |a|. It returns one on success and |
| * zero otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, |
| const EC_POINT *a, BN_CTX *ctx); |
| |
| /* EC_POINT_dbl sets |a| equal to minus |a|. It returns one on success and zero |
| * otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, |
| BN_CTX *ctx); |
| |
| /* EC_POINT_mul sets r = generator*n + q*m. It returns one on success and zero |
| * otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *n, const EC_POINT *q, |
| const BIGNUM *m, BN_CTX *ctx); |
| |
| /* EC_POINTs_mul sets r = generator*n + sum(p[i]*m[i]). It returns one on |
| * success and zero otherwise. If |ctx| is not NULL, it may be used. */ |
| OPENSSL_EXPORT int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, |
| const BIGNUM *n, size_t num, |
| const EC_POINT *p[], const BIGNUM *m[], |
| BN_CTX *ctx); |
| |
| |
| /* Deprecated functions. */ |
| |
| /* EC_GROUP_new_curve_GFp creates a new, arbitrary elliptic curve group based |
| * on the equation y² = x³ + a·x + b. It returns the new group or NULL on |
| * error. |
| * |
| * |EC_GROUP|s returned by this function will always compare as unequal via |
| * |EC_GROUP_cmp| (even to themselves). |EC_GROUP_get_curve_name| will always |
| * return |NID_undef|. */ |
| OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, |
| const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *ctx); |
| |
| /* EC_GROUP_set_generator sets the generator for |group| to |generator|, which |
| * must have the given order and cofactor. This should only be used with |
| * |EC_GROUP| objects returned by |EC_GROUP_new_curve_GFp|. */ |
| OPENSSL_EXPORT int EC_GROUP_set_generator(EC_GROUP *group, |
| const EC_POINT *generator, |
| const BIGNUM *order, |
| const BIGNUM *cofactor); |
| |
| /* EC_GROUP_set_asn1_flag does nothing. */ |
| OPENSSL_EXPORT void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); |
| |
| #define OPENSSL_EC_NAMED_CURVE 0 |
| |
| typedef struct ec_method_st EC_METHOD; |
| |
| /* EC_GROUP_method_of returns NULL. */ |
| OPENSSL_EXPORT const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); |
| |
| /* EC_METHOD_get_field_type returns NID_X9_62_prime_field. */ |
| OPENSSL_EXPORT int EC_METHOD_get_field_type(const EC_METHOD *meth); |
| |
| /* EC_GROUP_set_point_conversion_form aborts the process if |form| is not |
| * |POINT_CONVERSION_UNCOMPRESSED| and otherwise does nothing. */ |
| OPENSSL_EXPORT void EC_GROUP_set_point_conversion_form( |
| EC_GROUP *group, point_conversion_form_t form); |
| |
| |
| /* Old code expects to get EC_KEY from ec.h. */ |
| #if !defined(OPENSSL_HEADER_EC_KEY_H) |
| #include <openssl/ec_key.h> |
| #endif |
| |
| |
| #if defined(__cplusplus) |
| } /* extern C */ |
| #endif |
| |
| #define EC_F_EC_GROUP_copy 100 |
| #define EC_F_EC_GROUP_get_curve_GFp 101 |
| #define EC_F_EC_GROUP_get_degree 102 |
| #define EC_F_EC_GROUP_new_by_curve_name 103 |
| #define EC_F_EC_KEY_check_key 104 |
| #define EC_F_EC_KEY_copy 105 |
| #define EC_F_EC_KEY_generate_key 106 |
| #define EC_F_EC_KEY_new_method 107 |
| #define EC_F_EC_KEY_set_public_key_affine_coordinates 108 |
| #define EC_F_EC_POINT_add 109 |
| #define EC_F_EC_POINT_cmp 110 |
| #define EC_F_EC_POINT_copy 111 |
| #define EC_F_EC_POINT_dbl 112 |
| #define EC_F_EC_POINT_dup 113 |
| #define EC_F_EC_POINT_get_affine_coordinates_GFp 114 |
| #define EC_F_EC_POINT_invert 115 |
| #define EC_F_EC_POINT_is_at_infinity 116 |
| #define EC_F_EC_POINT_is_on_curve 117 |
| #define EC_F_EC_POINT_make_affine 118 |
| #define EC_F_EC_POINT_new 119 |
| #define EC_F_EC_POINT_oct2point 120 |
| #define EC_F_EC_POINT_point2oct 121 |
| #define EC_F_EC_POINT_set_affine_coordinates_GFp 122 |
| #define EC_F_EC_POINT_set_compressed_coordinates_GFp 123 |
| #define EC_F_EC_POINT_set_to_infinity 124 |
| #define EC_F_EC_POINTs_make_affine 125 |
| #define EC_F_compute_wNAF 126 |
| #define EC_F_d2i_ECPKParameters 127 |
| #define EC_F_d2i_ECParameters 128 |
| #define EC_F_d2i_ECPrivateKey 129 |
| #define EC_F_ec_GFp_mont_field_decode 130 |
| #define EC_F_ec_GFp_mont_field_encode 131 |
| #define EC_F_ec_GFp_mont_field_mul 132 |
| #define EC_F_ec_GFp_mont_field_set_to_one 133 |
| #define EC_F_ec_GFp_mont_field_sqr 134 |
| #define EC_F_ec_GFp_mont_group_set_curve 135 |
| #define EC_F_ec_GFp_simple_group_check_discriminant 136 |
| #define EC_F_ec_GFp_simple_group_set_curve 137 |
| #define EC_F_ec_GFp_simple_make_affine 138 |
| #define EC_F_ec_GFp_simple_oct2point 139 |
| #define EC_F_ec_GFp_simple_point2oct 140 |
| #define EC_F_ec_GFp_simple_point_get_affine_coordinates 141 |
| #define EC_F_ec_GFp_simple_point_set_affine_coordinates 142 |
| #define EC_F_ec_GFp_simple_points_make_affine 143 |
| #define EC_F_ec_GFp_simple_set_compressed_coordinates 144 |
| #define EC_F_ec_asn1_group2pkparameters 145 |
| #define EC_F_ec_asn1_pkparameters2group 146 |
| #define EC_F_ec_group_new 147 |
| #define EC_F_ec_group_new_curve_GFp 148 |
| #define EC_F_ec_group_new_from_data 149 |
| #define EC_F_ec_point_set_Jprojective_coordinates_GFp 150 |
| #define EC_F_ec_pre_comp_new 151 |
| #define EC_F_ec_wNAF_mul 152 |
| #define EC_F_ec_wNAF_precompute_mult 153 |
| #define EC_F_i2d_ECPKParameters 154 |
| #define EC_F_i2d_ECParameters 155 |
| #define EC_F_i2d_ECPrivateKey 156 |
| #define EC_F_i2o_ECPublicKey 157 |
| #define EC_F_o2i_ECPublicKey 158 |
| #define EC_F_BN_to_felem 159 |
| #define EC_F_ec_GFp_nistp256_group_set_curve 160 |
| #define EC_F_ec_GFp_nistp256_point_get_affine_coordinates 161 |
| #define EC_F_ec_GFp_nistp256_points_mul 162 |
| #define EC_F_ec_group_copy 163 |
| #define EC_F_nistp256_pre_comp_new 164 |
| #define EC_F_EC_KEY_new_by_curve_name 165 |
| #define EC_F_EC_GROUP_new_curve_GFp 166 |
| #define EC_R_BUFFER_TOO_SMALL 100 |
| #define EC_R_COORDINATES_OUT_OF_RANGE 101 |
| #define EC_R_D2I_ECPKPARAMETERS_FAILURE 102 |
| #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 103 |
| #define EC_R_GROUP2PKPARAMETERS_FAILURE 104 |
| #define EC_R_I2D_ECPKPARAMETERS_FAILURE 105 |
| #define EC_R_INCOMPATIBLE_OBJECTS 106 |
| #define EC_R_INVALID_COMPRESSED_POINT 107 |
| #define EC_R_INVALID_COMPRESSION_BIT 108 |
| #define EC_R_INVALID_ENCODING 109 |
| #define EC_R_INVALID_FIELD 110 |
| #define EC_R_INVALID_FORM 111 |
| #define EC_R_INVALID_GROUP_ORDER 112 |
| #define EC_R_INVALID_PRIVATE_KEY 113 |
| #define EC_R_MISSING_PARAMETERS 114 |
| #define EC_R_MISSING_PRIVATE_KEY 115 |
| #define EC_R_NON_NAMED_CURVE 116 |
| #define EC_R_NOT_INITIALIZED 117 |
| #define EC_R_PKPARAMETERS2GROUP_FAILURE 118 |
| #define EC_R_POINT_AT_INFINITY 119 |
| #define EC_R_POINT_IS_NOT_ON_CURVE 120 |
| #define EC_R_SLOT_FULL 121 |
| #define EC_R_UNDEFINED_GENERATOR 122 |
| #define EC_R_UNKNOWN_GROUP 123 |
| #define EC_R_UNKNOWN_ORDER 124 |
| #define EC_R_WRONG_ORDER 125 |
| #define EC_R_BIGNUM_OUT_OF_RANGE 126 |
| #define EC_R_WRONG_CURVE_PARAMETERS 127 |
| |
| #endif /* OPENSSL_HEADER_EC_H */ |
