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1 | /* TODO */ |
2 | /* crypto/ec/ec_lcl.h */ | |
3 | /* ==================================================================== | |
4 | * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. | |
5 | * | |
6 | * Redistribution and use in source and binary forms, with or without | |
7 | * modification, are permitted provided that the following conditions | |
8 | * are met: | |
9 | * | |
10 | * 1. Redistributions of source code must retain the above copyright | |
11 | * notice, this list of conditions and the following disclaimer. | |
12 | * | |
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 | |
16 | * distribution. | |
17 | * | |
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/)" | |
22 | * | |
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. | |
27 | * | |
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. | |
31 | * | |
32 | * 6. Redistributions of any form whatsoever must retain the following | |
33 | * acknowledgment: | |
34 | * "This product includes software developed by the OpenSSL Project | |
35 | * for use in the OpenSSL Toolkit (http://www.openssl.org/)" | |
36 | * | |
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 | * ==================================================================== | |
50 | * | |
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). | |
54 | * | |
55 | */ | |
38e3c581 | 56 | |
3a12ce01 BM |
57 | |
58 | #include <stdlib.h> | |
59 | ||
38e3c581 | 60 | #include <openssl/ec.h> |
3a12ce01 BM |
61 | |
62 | ||
63 | /* Structure details are not part of the exported interface, | |
64 | * so all this may change in future versions. */ | |
65 | ||
66 | struct ec_method_st { | |
7d7db13e | 67 | /* used by EC_GROUP_new, EC_GROUP_set_GFp, EC_GROUP_free, EC_GROUP_copy: */ |
3a12ce01 BM |
68 | int (*group_init)(EC_GROUP *); |
69 | /* int (*group_set)(EC_GROUP *, .....); */ | |
7d7db13e | 70 | int (*group_set_GFp)(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); |
3a12ce01 | 71 | void (*group_finish)(EC_GROUP *); |
7d7db13e | 72 | int (*group_copy)(EC_GROUP *, const EC_GROUP *); |
3a12ce01 | 73 | |
7d7db13e BM |
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); | |
77 | ||
78 | /* TODO: 'set' functions for EC_GROUPs */ | |
79 | ||
80 | ||
81 | /* used by EC_POINT_new, EC_POINT_free, EC_POINT_copy: */ | |
3a12ce01 BM |
82 | int (*point_init)(EC_POINT *); |
83 | void (*point_finish)(EC_POINT *); | |
7d7db13e | 84 | int (*point_copy)(EC_POINT *, const EC_POINT *); |
3a12ce01 | 85 | |
7d7db13e | 86 | /* TODO: 'set' and 'get' functions for EC_POINTs */ |
3a12ce01 | 87 | |
d8c79c7f | 88 | /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ |
7d7db13e BM |
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 *); | |
93 | ||
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 *); | |
3a12ce01 | 97 | |
fb171e53 BM |
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 *); | |
102 | ||
3a12ce01 BM |
103 | |
104 | /* internal functions */ | |
105 | ||
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 | |
d8c79c7f | 108 | * optimized implementations of expensive field operations: */ |
7d7db13e BM |
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 *); | |
111 | ||
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 */ | |
3a12ce01 BM |
114 | } /* EC_METHOD */; |
115 | ||
116 | ||
117 | struct ec_group_st { | |
118 | EC_METHOD *meth; | |
119 | ||
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) */ | |
123 | ||
124 | BIGNUM a, b; /* Curve coefficients. | |
125 | * (Here the assumption is that BIGNUMs can be used | |
fb171e53 BM |
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. | |
130 | */ | |
3a12ce01 BM |
131 | int a_is_minus3; /* enable optimized point arithmetics for special case */ |
132 | ||
7d7db13e BM |
133 | EC_POINT *generator; /* optional */ |
134 | BIGNUM order, cofactor; | |
135 | ||
136 | /* optional Lim/Lee precomputation table */ | |
3a12ce01 BM |
137 | } /* EC_GROUP */; |
138 | ||
139 | ||
140 | struct ec_point_st { | |
141 | EC_METHOD *meth; | |
142 | ||
fb171e53 BM |
143 | BIGNUM X; |
144 | BIGNUM Y; | |
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 */ | |
3a12ce01 | 148 | } /* EC_POINT */; |