2 /* crypto/ec/ec_lcl.h */
3 /* ====================================================================
4 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
6 * Redistribution and use in source and binary forms, with or without
7 * modification, are permitted provided that the following conditions
10 * 1. Redistributions of source code must retain the above copyright
11 * notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 * notice, this list of conditions and the following disclaimer in
15 * the documentation and/or other materials provided with the
18 * 3. All advertising materials mentioning features or use of this
19 * software must display the following acknowledgment:
20 * "This product includes software developed by the OpenSSL Project
21 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
23 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
24 * endorse or promote products derived from this software without
25 * prior written permission. For written permission, please contact
26 * openssl-core@openssl.org.
28 * 5. Products derived from this software may not be called "OpenSSL"
29 * nor may "OpenSSL" appear in their names without prior written
30 * permission of the OpenSSL Project.
32 * 6. Redistributions of any form whatsoever must retain the following
34 * "This product includes software developed by the OpenSSL Project
35 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
37 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
38 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
39 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
40 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
41 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
42 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
43 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
44 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
45 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
46 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
47 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
48 * OF THE POSSIBILITY OF SUCH DAMAGE.
49 * ====================================================================
51 * This product includes cryptographic software written by Eric Young
52 * (eay@cryptsoft.com). This product includes software written by Tim
53 * Hudson (tjh@cryptsoft.com).
60 #include <openssl/ec.h>
63 /* Structure details are not part of the exported interface,
64 * so all this may change in future versions. */
67 /* used by EC_GROUP_new, EC_GROUP_set_GFp, EC_GROUP_free, EC_GROUP_copy: */
68 int (*group_init
)(EC_GROUP
*);
69 /* int (*group_set)(EC_GROUP *, .....); */
70 int (*group_set_GFp
)(EC_GROUP
*, BIGNUM
*p
, BIGNUM
*a
, BIGNUM
*b
, BN_CTX
*);
71 void (*group_finish
)(EC_GROUP
*);
72 int (*group_copy
)(EC_GROUP
*, const EC_GROUP
*);
74 /* used by EC_GROUP_set_generator: */
75 int (*group_set_generator
)(EC_GROUP
*, const EC_POINT
*generator
,
76 const BIGNUM
*order
, const BIGNUM
*cofactor
);
78 /* TODO: 'set' functions for EC_GROUPs */
81 /* used by EC_POINT_new, EC_POINT_free, EC_POINT_copy: */
82 int (*point_init
)(EC_POINT
*);
83 void (*point_finish
)(EC_POINT
*);
84 int (*point_copy
)(EC_POINT
*, const EC_POINT
*);
86 /* TODO: 'set' and 'get' functions for EC_POINTs */
88 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
89 size_t (*point2oct
)(const EC_GROUP
*, EC_POINT
*, point_conversion_form_t form
,
90 unsigned char *buf
, size_t len
, BN_CTX
*);
91 int (*oct2point
)(const EC_GROUP
*, EC_POINT
*,
92 const unsigned char *buf
, size_t len
, BN_CTX
*);
94 /* used by EC_POINT_add, EC_POINT_dbl: */
95 int (*add
)(const EC_GROUP
*, EC_POINT
*r
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*);
96 int (*dbl
)(const EC_GROUP
*, EC_POINT
*r
, const EC_POINT
*a
, BN_CTX
*);
98 /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_make_affine */
99 int (*is_at_infinity
)(const EC_GROUP
*, EC_POINT
*, BN_CTX
*);
100 int (*is_on_curve
)(const EC_GROUP
*, EC_POINT
*, BN_CTX
*);
101 int (*make_affine
)(const EC_GROUP
*, EC_POINT
*, BN_CTX
*);
104 /* internal functions */
106 /* 'field_mult' and 'field_sqr' can be used by 'add' and 'dbl' so that
107 * the same implementations of point operations can be used with different
108 * optimized implementations of expensive field operations: */
109 int (*field_mult
)(const EC_GROUP
*, BIGNUM
*r
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*);
110 int (*field_sqr
)(const EC_GROUP
*, BIGNUM
*r
, const BIGNUM
*a
, BN_CTX
*);
112 int (*field_encode
)(const EC_GROUP
*, BIGNUM
*r
, const BIGNUM
*a
, BN_CTX
*); /* e.g. to Montgomery */
113 int (*field_decode
)(const EC_GROUP
*, BIGNUM
*r
, const BIGNUM
*a
, BN_CTX
*); /* e.g. from Montgomery */
120 BIGNUM field
; /* Field specification.
121 * For curves over GF(p), this is the modulus. */
122 void *field_data
; /* method-specific (e.g., Montgomery structure) */
124 BIGNUM a
, b
; /* Curve coefficients.
125 * (Here the assumption is that BIGNUMs can be used
126 * or abused for all kinds of fields, not just GF(p).)
127 * For characteristic > 3, the curve is defined
128 * by a Weierstrass equation of the form
129 * Y^2 = X^3 + a*X + b.
131 int a_is_minus3
; /* enable optimized point arithmetics for special case */
133 EC_POINT
*generator
; /* optional */
134 BIGNUM order
, cofactor
;
136 /* optional Lim/Lee precomputation table */
145 BIGNUM Z
; /* Jacobian projective coordinates:
146 * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
147 int Z_is_one
; /* enable optimized point arithmetics for special case */