versadac  1
versadac - Scalable Recorder Firmware
ec_lcl.h
1 /* crypto/ec/ec_lcl.h */
2 /*
3  * Originally written by Bodo Moeller for the OpenSSL project.
4  */
5 /* ====================================================================
6  * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  *
12  * 1. Redistributions of source code must retain the above copyright
13  * notice, this list of conditions and the following disclaimer.
14  *
15  * 2. Redistributions in binary form must reproduce the above copyright
16  * notice, this list of conditions and the following disclaimer in
17  * the documentation and/or other materials provided with the
18  * distribution.
19  *
20  * 3. All advertising materials mentioning features or use of this
21  * software must display the following acknowledgment:
22  * "This product includes software developed by the OpenSSL Project
23  * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24  *
25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26  * endorse or promote products derived from this software without
27  * prior written permission. For written permission, please contact
28  * openssl-core@openssl.org.
29  *
30  * 5. Products derived from this software may not be called "OpenSSL"
31  * nor may "OpenSSL" appear in their names without prior written
32  * permission of the OpenSSL Project.
33  *
34  * 6. Redistributions of any form whatsoever must retain the following
35  * acknowledgment:
36  * "This product includes software developed by the OpenSSL Project
37  * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38  *
39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42  * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50  * OF THE POSSIBILITY OF SUCH DAMAGE.
51  * ====================================================================
52  *
53  * This product includes cryptographic software written by Eric Young
54  * (eay@cryptsoft.com). This product includes software written by Tim
55  * Hudson (tjh@cryptsoft.com).
56  *
57  */
58 /* ====================================================================
59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60  *
61  * Portions of the attached software ("Contribution") are developed by
62  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63  *
64  * The Contribution is licensed pursuant to the OpenSSL open source
65  * license provided above.
66  *
67  * The elliptic curve binary polynomial software is originally written by
68  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69  *
70  */
71 
72 
73 #include <stdlib.h>
74 
75 #include <openssl/obj_mac.h>
76 #include <openssl/ec.h>
77 #include <openssl/bn.h>
78 
79 #if defined(__SUNPRO_C)
80 # if __SUNPRO_C >= 0x520
81 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
82 # endif
83 #endif
84 
85 /* Structure details are not part of the exported interface,
86  * so all this may change in future versions. */
87 
88 struct ec_method_st {
89  /* used by EC_METHOD_get_field_type: */
90  int field_type; /* a NID */
91 
92  /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
93  int (*group_init)(EC_GROUP *);
94  void (*group_finish)(EC_GROUP *);
95  void (*group_clear_finish)(EC_GROUP *);
96  int (*group_copy)(EC_GROUP *, const EC_GROUP *);
97 
98  /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
99  /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
100  int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
101  int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
102 
103  /* used by EC_GROUP_get_degree: */
104  int (*group_get_degree)(const EC_GROUP *);
105 
106  /* used by EC_GROUP_check: */
107  int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
108 
109  /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
110  int (*point_init)(EC_POINT *);
111  void (*point_finish)(EC_POINT *);
112  void (*point_clear_finish)(EC_POINT *);
113  int (*point_copy)(EC_POINT *, const EC_POINT *);
114 
115  /* used by EC_POINT_set_to_infinity,
116  * EC_POINT_set_Jprojective_coordinates_GFp,
117  * EC_POINT_get_Jprojective_coordinates_GFp,
118  * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
119  * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
120  * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
121  */
122  int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
123  int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
124  const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
125  int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
126  BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
127  int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
128  const BIGNUM *x, const BIGNUM *y, BN_CTX *);
129  int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
130  BIGNUM *x, BIGNUM *y, BN_CTX *);
131  int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
132  const BIGNUM *x, int y_bit, BN_CTX *);
133 
134  /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
135  size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
136  unsigned char *buf, size_t len, BN_CTX *);
137  int (*oct2point)(const EC_GROUP *, EC_POINT *,
138  const unsigned char *buf, size_t len, BN_CTX *);
139 
140  /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
141  int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
142  int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
143  int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
144 
145  /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
146  int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
147  int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
148  int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
149 
150  /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
151  int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
152  int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
153 
154  /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult
155  * (default implementations are used if the 'mul' pointer is 0): */
156  int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
157  size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
158  int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
159  int (*have_precompute_mult)(const EC_GROUP *group);
160 
161 
162  /* internal functions */
163 
164  /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that
165  * the same implementations of point operations can be used with different
166  * optimized implementations of expensive field operations: */
167  int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
168  int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
169  int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
170 
171  int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
172  int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
173  int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
174 } /* EC_METHOD */;
175 
176 typedef struct ec_extra_data_st {
177  struct ec_extra_data_st *next;
178  void *data;
179  void *(*dup_func)(void *);
180  void (*free_func)(void *);
181  void (*clear_free_func)(void *);
182 } EC_EXTRA_DATA; /* used in EC_GROUP */
183 
184 struct ec_group_st {
185  const EC_METHOD *meth;
186 
187  EC_POINT *generator; /* optional */
188  BIGNUM order, cofactor;
189 
190  int curve_name;/* optional NID for named curve */
191  int asn1_flag; /* flag to control the asn1 encoding */
192  point_conversion_form_t asn1_form;
193 
194  unsigned char *seed; /* optional seed for parameters (appears in ASN1) */
195  size_t seed_len;
196 
197  EC_EXTRA_DATA *extra_data; /* linked list */
198 
199  /* The following members are handled by the method functions,
200  * even if they appear generic */
201 
202  BIGNUM field; /* Field specification.
203  * For curves over GF(p), this is the modulus;
204  * for curves over GF(2^m), this is the
205  * irreducible polynomial defining the field.
206  */
207 
208  unsigned int poly[5]; /* Field specification for curves over GF(2^m).
209  * The irreducible f(t) is then of the form:
210  * t^poly[0] + t^poly[1] + ... + t^poly[k]
211  * where m = poly[0] > poly[1] > ... > poly[k] = 0.
212  */
213 
214  BIGNUM a, b; /* Curve coefficients.
215  * (Here the assumption is that BIGNUMs can be used
216  * or abused for all kinds of fields, not just GF(p).)
217  * For characteristic > 3, the curve is defined
218  * by a Weierstrass equation of the form
219  * y^2 = x^3 + a*x + b.
220  * For characteristic 2, the curve is defined by
221  * an equation of the form
222  * y^2 + x*y = x^3 + a*x^2 + b.
223  */
224 
225  int a_is_minus3; /* enable optimized point arithmetics for special case */
226 
227  void *field_data1; /* method-specific (e.g., Montgomery structure) */
228  void *field_data2; /* method-specific */
229  int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
230 } /* EC_GROUP */;
231 
232 struct ec_key_st {
233  int version;
234 
235  EC_GROUP *group;
236 
237  EC_POINT *pub_key;
238  BIGNUM *priv_key;
239 
240  unsigned int enc_flag;
241  point_conversion_form_t conv_form;
242 
243  int references;
244 
245  EC_EXTRA_DATA *method_data;
246 } /* EC_KEY */;
247 
248 /* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only
249  * (with visibility limited to 'package' level for now).
250  * We use the function pointers as index for retrieval; this obviates
251  * global ex_data-style index tables.
252  */
253 int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data,
254  void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
255 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *,
256  void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
257 void EC_EX_DATA_free_data(EC_EXTRA_DATA **,
258  void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
259 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **,
260  void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
261 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **);
262 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **);
263 
264 
265 
266 struct ec_point_st {
267  const EC_METHOD *meth;
268 
269  /* All members except 'meth' are handled by the method functions,
270  * even if they appear generic */
271 
272  BIGNUM X;
273  BIGNUM Y;
274  BIGNUM Z; /* Jacobian projective coordinates:
275  * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
276  int Z_is_one; /* enable optimized point arithmetics for special case */
277 } /* EC_POINT */;
278 
279 
280 
281 /* method functions in ec_mult.c
282  * (ec_lib.c uses these as defaults if group->method->mul is 0) */
283 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
284  size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
285 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
286 int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
287 
288 
289 /* method functions in ecp_smpl.c */
290 int ec_GFp_simple_group_init(EC_GROUP *);
291 void ec_GFp_simple_group_finish(EC_GROUP *);
292 void ec_GFp_simple_group_clear_finish(EC_GROUP *);
293 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
294 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
295 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
296 int ec_GFp_simple_group_get_degree(const EC_GROUP *);
297 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
298 int ec_GFp_simple_point_init(EC_POINT *);
299 void ec_GFp_simple_point_finish(EC_POINT *);
300 void ec_GFp_simple_point_clear_finish(EC_POINT *);
301 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
302 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
303 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
304  const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
305 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
306  BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
307 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
308  const BIGNUM *x, const BIGNUM *y, BN_CTX *);
309 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
310  BIGNUM *x, BIGNUM *y, BN_CTX *);
311 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
312  const BIGNUM *x, int y_bit, BN_CTX *);
313 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
314  unsigned char *buf, size_t len, BN_CTX *);
315 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
316  const unsigned char *buf, size_t len, BN_CTX *);
317 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
318 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
319 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
320 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
321 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
322 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
323 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
324 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
325 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
326 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
327 
328 
329 /* method functions in ecp_mont.c */
330 int ec_GFp_mont_group_init(EC_GROUP *);
331 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
332 void ec_GFp_mont_group_finish(EC_GROUP *);
333 void ec_GFp_mont_group_clear_finish(EC_GROUP *);
334 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
335 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
336 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
337 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
338 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
339 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
340 
341 
342 /* method functions in ecp_nist.c */
343 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
344 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
345 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
346 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
347 
348 
349 /* method functions in ec2_smpl.c */
350 int ec_GF2m_simple_group_init(EC_GROUP *);
351 void ec_GF2m_simple_group_finish(EC_GROUP *);
352 void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
353 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
354 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
355 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
356 int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
357 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
358 int ec_GF2m_simple_point_init(EC_POINT *);
359 void ec_GF2m_simple_point_finish(EC_POINT *);
360 void ec_GF2m_simple_point_clear_finish(EC_POINT *);
361 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
362 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
363 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
364  const BIGNUM *x, const BIGNUM *y, BN_CTX *);
365 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
366  BIGNUM *x, BIGNUM *y, BN_CTX *);
367 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
368  const BIGNUM *x, int y_bit, BN_CTX *);
369 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
370  unsigned char *buf, size_t len, BN_CTX *);
371 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
372  const unsigned char *buf, size_t len, BN_CTX *);
373 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
374 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
375 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
376 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
377 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
378 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
379 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
380 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
381 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
382 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
383 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
384 
385 
386 /* method functions in ec2_mult.c */
387 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
388  size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
389 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
390 int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
Definition: bn.h:318
Definition: ec_lcl.h:232
Definition: ec_lcl.h:176
Definition: ec_lcl.h:266
Definition: ec_lcl.h:184
Definition: bn_ctx.c:139
Definition: ec_lcl.h:88