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boringssl/include/openssl/ec.h
Adam Langley e4f3f4df6e Add test that A+A = 2×A on elliptic curves. 
Change-Id: I914efab9a15c903f79a1b83388b577b14c534269
Reviewed-on: https://boringssl-review.googlesource.com/7247
Reviewed-by: David Benjamin <davidben@google.com>
2016-03-01 18:08:51 +00:00

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/* 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;
/* point_conversion_form_t enumerates forms, as defined in X9.62 (ECDSA), for
* the encoding of a elliptic curve point (x,y) */
typedef enum {
/* POINT_CONVERSION_COMPRESSED indicates that the point is encoded as z||x,
* where the octet z specifies which solution of the quadratic equation y
* is. */
POINT_CONVERSION_COMPRESSED = 2,
/* POINT_CONVERSION_COMPRESSED indicates that the point is encoded as
* z||x||y, where z is the octet 0x04. */
POINT_CONVERSION_UNCOMPRESSED = 4,
/* POINT_CONVERSION_HYBRID indicates that the point is encoded as z||x||y,
* where z specifies which solution of the quadratic equation y is. This is
* not supported by the code and has never been observed in use.
*
* TODO(agl): remove once node.js no longer references this. */
POINT_CONVERSION_HYBRID = 6,
} 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_get0_order returns a pointer to the internal |BIGNUM| object in
* |group| that specifies the order of the group. */
OPENSSL_EXPORT const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
/* 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 unsigned EC_GROUP_get_degree(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
* and zero otherwise or when an error occurs. This is different from OpenSSL,
* which returns -1 on error. 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 if
* not 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_GFp sets the value of |p| to be (|x|, |y|).
* The |ctx| argument may be used if not NULL. It returns one on success or
* zero on error. Note that, unlike with OpenSSL, it's considered an error if
* the point is not on the curve. */
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_point2cbb behaves like |EC_POINT_point2oct| but appends the
* serialised point to |cbb|. It returns one on success and zero on error. */
OPENSSL_EXPORT int EC_POINT_point2cbb(CBB *out, const EC_GROUP *group,
const EC_POINT *point,
point_conversion_form_t form,
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_invert 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);
/* Deprecated functions. */
/* EC_GROUP_new_arbitrary creates a new, arbitrary elliptic curve group based on
* the equation y² = x³ + a·x + b. The generator is set to (gx, gy) which must
* have the given order and cofactor. 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_arbitrary(
const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, const BIGNUM *gx,
const BIGNUM *gy, const BIGNUM *order, const BIGNUM *cofactor);
/* 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. Use
* |EC_GROUP_get0_order| instead. */
OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order,
BN_CTX *ctx);
/* 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);
/* EC_builtin_curve describes a supported elliptic curve. */
typedef struct {
int nid;
const char *comment;
} EC_builtin_curve;
/* EC_get_builtin_curves writes at most |max_num_curves| elements to
* |out_curves| and returns the total number that it would have written, had
* |max_num_curves| been large enough.
*
* The |EC_builtin_curve| items describe the supported elliptic curves. */
OPENSSL_EXPORT size_t EC_get_builtin_curves(EC_builtin_curve *out_curves,
size_t max_num_curves);
/* Old code expects to get EC_KEY from ec.h. */
#include <openssl/ec_key.h>
#if defined(__cplusplus)
} /* extern C */
#endif
#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
#define EC_R_DECODE_ERROR 128
#define EC_R_ENCODE_ERROR 129
#define EC_R_GROUP_MISMATCH 130
#endif /* OPENSSL_HEADER_EC_H */
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