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: */
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);
71 void (*group_finish)(EC_GROUP *);
73 /* used by EC_POINT_new, EC_POINT_free: */
74 int (*point_init)(EC_POINT *);
75 void (*point_finish)(EC_POINT *);
77 /* used by EC_POINT_add, EC_POINT_dbl: */
78 int (*add)(const EC_GROUP *, EC_POINT *r, EC_POINT *a, EC_POINT *b);
79 int (*dbl)(const EC_GROUP *, EC_POINT *r, EC_POINT *a);
81 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
82 size_t (*point2oct)(const EC_GROUP *, EC_POINT *, unsigned char *buf,
83 size_t len, point_conversion_form_t form);
84 int (*oct2point)(const EC_GROUP *, EC_POINT *, unsigned char *buf, size_t len);
87 /* internal functions */
89 /* 'field_mult' and 'field_sqr' can be used by 'add' and 'dbl' so that
90 * the same implementations of point operations can be used with different
91 * optimized implementations of expensive field operations: */
92 int (*field_mult)(const EC_GROUP *, BIGNUM *r, BIGNUM *a, BIGNUM *b);
93 int (*field_sqr)(const EC_GROUP *, BIGNUM *r, BIGNUM *a);
100 BIGNUM field; /* Field specification.
101 * For curves over GF(p), this is the modulus. */
102 void *field_data; /* method-specific (e.g., Montgomery structure) */
104 BIGNUM a, b; /* Curve coefficients.
105 * (Here the assumption is that BIGNUMs can be used
106 * or abused for all kinds of fields, not just GF(p).) */
107 int a_is_minus3; /* enable optimized point arithmetics for special case */
109 /* TODO: optional generator with associated information (order, cofactor) */
110 /* optional Lim/Lee precomputation table */
119 BIGNUM z; /* Jacobian projective coordinates */
120 int z_is_one; /* enable optimized point arithmetics for special case */