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More method functions for elliptic curves,

Browse Source 
and an ectest.c that actually tests something.
This commit is contained in:
Bodo Möller 2001-03-08 19:14:52 +00:00
parent a75d8bebd2
commit bb62a8b0c5
11 changed files with 659 additions and 188 deletions
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4
CHANGES
View File

@ -3,8 +3,8 @@
Changes between 0.9.6 and 0.9.7 [xx XXX 2000]
*) Replace rdtsc with _emit statements for VC++ version 5.
[Jeremy Cooper <jeremy@baymoo.org>]
*) Replace rdtsc with _emit statements for VC++ version 5.
[Jeremy Cooper <jeremy@baymoo.org>]
*) Hide BN_CTX structure details in bn_lcl.h instead of publishing them
in <openssl/bn.h>. Also further increase BN_CTX_NUM to 24.

2
config
View File

@ -557,7 +557,7 @@ case "$GUESSOS" in
i386-*) options="$options 386" ;;
esac
for i in bf cast des dh dsa hmac md2 md5 mdc2 rc2 rc4 rc5 ripemd rsa sha
for i in bf cast des dh dsa ec hmac md2 md5 mdc2 rc2 rc4 rc5 ripemd rsa sha
do
if [ ! -d crypto/$i ]
then

21
crypto/ec/ec.h
View File

@ -56,6 +56,10 @@
#ifndef HEADER_EC_H
#define HEADER_EC_H
#ifdef OPENSSL_NO_EC
#error Elliptic curves are disabled.
#endif
#include <openssl/bn.h>
#include <openssl/symhacks.h>
@ -64,7 +68,6 @@ extern "C" {
#endif
typedef enum {
/* values as defined in X9.62 (ECDSA) and elsewhere */
POINT_CONVERSION_COMPRESSED = 2,
@ -81,7 +84,7 @@ typedef struct ec_group_st
-- field definition
-- curve coefficients
-- optional generator with associated information (order, cofactor)
-- optional Lim/Lee precomputation table
-- optional extra data (Lim/Lee precomputation table)
*/
EC_GROUP;
@ -103,19 +106,20 @@ EC_GROUP *EC_GROUP_new(const EC_METHOD *);
* Otherwise we would declare
* int EC_GROUP_set_curve(EC_GROUP *, .....);
*/
int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
void EC_GROUP_free(EC_GROUP *);
void EC_GROUP_clear_free(EC_GROUP *);
int EC_GROUP_copy(EC_GROUP *, const EC_GROUP*);
int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_get_curve_GFp(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
* after choosing an appropriate EC_METHOD */
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
/* TODO: 'set' and 'get' functions for EC_GROUPs */
EC_POINT *EC_group_get0_generator(EC_GROUP *);
int EC_GROUP_get_order(EC_GROUP *, BIGNUM *order, BN_CTX *);
int EC_GROUP_get_cofactor(EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
EC_POINT *EC_POINT_new(const EC_GROUP *);
void EC_POINT_free(EC_POINT *);
@ -170,7 +174,10 @@ void ERR_load_EC_strings(void);
#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
#define EC_F_EC_GROUP_COPY 106
#define EC_F_EC_GROUP_GET_CURVE_GFP 130
#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
#define EC_F_EC_GROUP_NEW 108
#define EC_F_EC_GROUP_SET_CURVE_GFP 109
@ -196,6 +203,8 @@ void ERR_load_EC_strings(void);
/* Reason codes. */
#define EC_R_BUFFER_TOO_SMALL 100
#define EC_R_INCOMPATIBLE_OBJECTS 101
#define EC_R_INVALID_COMPRESSED_POINT 110
#define EC_R_INVALID_COMPRESSION_BIT 109
#define EC_R_INVALID_ENCODING 102
#define EC_R_INVALID_FIELD 103
#define EC_R_INVALID_FORM 104

5
crypto/ec/ec_err.c
View File

@ -72,7 +72,10 @@ static ERR_STRING_DATA EC_str_functs[]=
{ERR_PACK(0,EC_F_EC_GFP_SIMPLE_OCT2POINT,0), "ec_GFp_simple_oct2point"},
{ERR_PACK(0,EC_F_EC_GFP_SIMPLE_POINT2OCT,0), "ec_GFp_simple_point2oct"},
{ERR_PACK(0,EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP,0), "ec_GFp_simple_point_get_affine_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP,0), "ec_GFp_simple_point_set_affine_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP,0), "ec_GFp_simple_set_compressed_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_GROUP_COPY,0), "EC_GROUP_copy"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GFP,0), "EC_GROUP_get_curve_GFp"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_EXTRA_DATA,0), "EC_GROUP_get_extra_data"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW,0), "EC_GROUP_new"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GFP,0), "EC_GROUP_set_curve_GFp"},
@ -101,6 +104,8 @@ static ERR_STRING_DATA EC_str_reasons[]=
{
{EC_R_BUFFER_TOO_SMALL ,"buffer too small"},
{EC_R_INCOMPATIBLE_OBJECTS ,"incompatible objects"},
{EC_R_INVALID_COMPRESSED_POINT ,"invalid compressed point"},
{EC_R_INVALID_COMPRESSION_BIT ,"invalid compression bit"},
{EC_R_INVALID_ENCODING ,"invalid encoding"},
{EC_R_INVALID_FIELD ,"invalid field"},
{EC_R_INVALID_FORM ,"invalid form"},

24
crypto/ec/ec_lcl.h
View File

@ -63,19 +63,24 @@
* so all this may change in future versions. */
struct ec_method_st {
/* used by EC_GROUP_new, EC_GROUP_set_curve_GFp, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
/* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
int (*group_init)(EC_GROUP *);
int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
void (*group_finish)(EC_GROUP *);
void (*group_clear_finish)(EC_GROUP *);
int (*group_copy)(EC_GROUP *, const EC_GROUP *);
/* used by EC_GROUP_set_generator: */
/* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */
int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*group_get_curve_GFp)(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
/* used by EC_GROUP_set_generator, EC_group_get0_generator,
* EC_GROUP_get_order, EC_GROUP_get_cofactor:
*/
int (*group_set_generator)(EC_GROUP *, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor);
/* TODO: 'set' and 'get' functions for EC_GROUPs */
EC_POINT *(*group_get0_generator)(EC_GROUP *);
int (*group_get_order)(EC_GROUP *, BIGNUM *order, BN_CTX *);
int (*group_get_cofactor)(EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
/* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
int (*point_init)(EC_POINT *);
@ -195,13 +200,16 @@ struct ec_point_st {
/* method functions in ecp_smpl.c */
int ec_GFp_simple_group_init(EC_GROUP *);
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
void ec_GFp_simple_group_finish(EC_GROUP *);
void ec_GFp_simple_group_clear_finish(EC_GROUP *);
int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_get_curve_GFp(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_set_generator(EC_GROUP *, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor);
/* TODO: 'set' and 'get' functions for EC_GROUPs */
EC_POINT *ec_GFp_simple_group_get0_generator(EC_GROUP *);
int ec_GFp_simple_group_get_order(EC_GROUP *, BIGNUM *order, BN_CTX *);
int ec_GFp_simple_group_get_cofactor(EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
int ec_GFp_simple_point_init(EC_POINT *);
void ec_GFp_simple_point_finish(EC_POINT *);
void ec_GFp_simple_point_clear_finish(EC_POINT *);

39
crypto/ec/ec_lib.c
View File

@ -56,9 +56,12 @@
#include <string.h>
#include <openssl/err.h>
#include <openssl/opensslv.h>
#include "ec_lcl.h"
static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
/* functions for EC_GROUP objects */
@ -101,17 +104,6 @@ EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
}
int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve_GFp == 0)
{
ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
}
void EC_GROUP_free(EC_GROUP *group)
{
if (group->meth->group_finish != 0)
@ -171,6 +163,28 @@ int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
}
int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve_GFp == 0)
{
ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GFp(EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_get_curve_GFp == 0)
{
ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_curve_GFp(group, p, a, b, ctx);
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
{
if (group->meth->group_set_generator == 0)
@ -182,9 +196,6 @@ int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIG
}
/* TODO: 'set' and 'get' functions for EC_GROUPs */
/* this has 'package' visibility */
int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *),
void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))

7
crypto/ec/ecp_mont.c
View File

@ -60,12 +60,15 @@ const EC_METHOD *EC_GFp_mont_method(void)
{
static const EC_METHOD ret = {
ec_GFp_mont_group_init,
ec_GFp_mont_group_set_curve_GFp,
ec_GFp_mont_group_finish,
ec_GFp_mont_group_clear_finish,
ec_GFp_mont_group_copy,
ec_GFp_mont_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_set_generator,
/* TODO: 'set' and 'get' functions for EC_GROUPs */
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_group_get_cofactor,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,

7
crypto/ec/ecp_nist.c
View File

@ -60,12 +60,15 @@ const EC_METHOD *EC_GFp_nist_method(void)
{
static const EC_METHOD ret = {
ec_GFp_nist_group_init,
ec_GFp_nist_group_set_curve_GFp,
ec_GFp_nist_group_finish,
ec_GFp_nist_group_clear_finish,
ec_GFp_nist_group_copy,
ec_GFp_nist_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_set_generator,
/* TODO: 'set' and 'get' functions for EC_GROUPs */
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_group_get_cofactor,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,

7
crypto/ec/ecp_recp.c
View File

@ -60,12 +60,15 @@ const EC_METHOD *EC_GFp_recp_method(void)
{
static const EC_METHOD ret = {
ec_GFp_recp_group_init,
ec_GFp_recp_group_set_curve_GFp,
ec_GFp_recp_group_finish,
ec_GFp_recp_group_clear_finish,
ec_GFp_recp_group_copy,
ec_GFp_recp_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_set_generator,
/* TODO: 'set' and 'get' functions for EC_GROUPs */
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_group_get_cofactor,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,

580
crypto/ec/ecp_smpl.c
View File

@ -64,12 +64,15 @@ const EC_METHOD *EC_GFp_simple_method(void)
{
static const EC_METHOD ret = {
ec_GFp_simple_group_init,
ec_GFp_simple_group_set_curve_GFp,
ec_GFp_simple_group_finish,
ec_GFp_simple_group_clear_finish,
ec_GFp_simple_group_copy,
ec_GFp_simple_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_set_generator,
/* TODO: 'set' and 'get' functions for EC_GROUPs */
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_group_get_cofactor,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,
@ -111,61 +114,6 @@ int ec_GFp_simple_group_init(EC_GROUP *group)
}
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *group,
const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
BIGNUM *tmp_a;
/* p must be a prime > 3 */
if (BN_num_bits(p) <= 2 || !BN_is_odd(p))
{
ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP, EC_R_INVALID_FIELD);
return 0;
}
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
tmp_a = BN_CTX_get(ctx);
if (tmp_a == NULL) goto err;
/* group->field */
if (!BN_copy(&group->field, p)) goto err;
group->field.neg = 0;
/* group->a */
if (!BN_nnmod(tmp_a, a, p, ctx)) goto err;
if (group->meth->field_encode)
{ if (!group->meth->field_encode(group, &group->a, tmp_a, ctx)) goto err; }
else
if (!BN_copy(&group->a, tmp_a)) goto err;
/* group->b */
if (!BN_nnmod(&group->b, b, p, ctx)) goto err;
if (group->meth->field_encode)
if (!group->meth->field_encode(group, &group->b, &group->b, ctx)) goto err;
/* group->a_is_minus3 */
if (!BN_add_word(tmp_a, 3)) goto err;
group->a_is_minus3 = (0 == BN_cmp(tmp_a, &group->field));
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
void ec_GFp_simple_group_finish(EC_GROUP *group)
{
BN_free(&group->field);
@ -227,6 +175,113 @@ int ec_GFp_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
}
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *group,
const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
BIGNUM *tmp_a;
/* p must be a prime > 3 */
if (BN_num_bits(p) <= 2 || !BN_is_odd(p))
{
ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP, EC_R_INVALID_FIELD);
return 0;
}
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
tmp_a = BN_CTX_get(ctx);
if (tmp_a == NULL) goto err;
/* group->field */
if (!BN_copy(&group->field, p)) goto err;
group->field.neg = 0;
/* group->a */
if (!BN_nnmod(tmp_a, a, p, ctx)) goto err;
if (group->meth->field_encode)
{ if (!group->meth->field_encode(group, &group->a, tmp_a, ctx)) goto err; }
else
if (!BN_copy(&group->a, tmp_a)) goto err;
/* group->b */
if (!BN_nnmod(&group->b, b, p, ctx)) goto err;
if (group->meth->field_encode)
if (!group->meth->field_encode(group, &group->b, &group->b, ctx)) goto err;
/* group->a_is_minus3 */
if (!BN_add_word(tmp_a, 3)) goto err;
group->a_is_minus3 = (0 == BN_cmp(tmp_a, &group->field));
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
int ec_GFp_simple_group_get_curve_GFp(EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
if (p != NULL)
{
if (!BN_copy(p, &group->field)) return 0;
}
if (a != NULL || b != NULL)
{
if (group->meth->field_decode)
{
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
if (a != NULL)
{
if (!group->meth->field_decode(group, a, &group->a, ctx)) goto err;
}
if (b != NULL)
{
if (!group->meth->field_decode(group, b, &group->b, ctx)) goto err;
}
}
else
{
if (a != NULL)
{
if (!BN_copy(a, &group->a)) goto err;
}
if (b != NULL)
{
if (!BN_copy(b, &group->b)) goto err;
}
}
}
ret = 1;
err:
if (new_ctx)
BN_CTX_free(new_ctx);
return ret;
}
int ec_GFp_simple_group_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor)
{
@ -257,7 +312,28 @@ int ec_GFp_simple_group_set_generator(EC_GROUP *group, const EC_POINT *generator
}
/* TODO: 'set' and 'get' functions for EC_GROUPs */
EC_POINT *ec_GFp_simple_group_get0_generator(EC_GROUP *group)
{
return group->generator;
}
int ec_GFp_simple_group_get_order(EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
{
if (!BN_copy(order, &group->order))
return 0;
return !BN_is_zero(&group->order);
}
int ec_GFp_simple_group_get_cofactor(EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
{
if (!BN_copy(cofactor, &group->cofactor))
return 0;
return !BN_is_zero(&group->cofactor);
}
int ec_GFp_simple_point_init(EC_POINT *point)
@ -307,26 +383,65 @@ int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
/* TODO */
int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
/* TODO */
int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0;
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
if (!BN_copy(&point->X, x)) goto err;
if (!BN_copy(&point->Y, y)) goto err;
if (!BN_one(&point->Z)) goto err;
if (x != NULL)
{
if (!BN_nnmod(&point->X, x, &group->field, ctx)) goto err;
if (group->meth->field_encode)
{
if (!group->meth->field_encode(group, &point->X, &point->X, ctx)) goto err;
}
}
if (y != NULL)
{
if (!BN_nnmod(&point->Y, y, &group->field, ctx)) goto err;
if (group->meth->field_encode)
{
if (!group->meth->field_encode(group, &point->Y, &point->Y, ctx)) goto err;
}
}
if (z != NULL)
{
int Z_is_one;
if (group->meth->field_encode)
if (!BN_nnmod(&point->Z, z, &group->field, ctx)) goto err;
Z_is_one = BN_is_one(&point->Z);
if (group->meth->field_encode)
{
if (!group->meth->field_encode(group, &point->Z, &point->Z, ctx)) goto err;
}
point->Z_is_one = Z_is_one;
}
ret = 1;
err:
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0;
if (group->meth->field_decode != 0)
{
if (ctx == NULL)
{
@ -334,14 +449,38 @@ int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POI
if (ctx == NULL)
return 0;
}
if (!group->meth->field_encode(group, &point->X, &point->X, ctx)) goto err;
if (!group->meth->field_encode(group, &point->Y, &point->Y, ctx)) goto err;
if (!group->meth->field_encode(group, &point->Z, &point->Z, ctx)) goto err;
}
point->Z_is_one = 1;
if (x != NULL)
{
if (!group->meth->field_decode(group, x, &point->X, ctx)) goto err;
}
if (y != NULL)
{
if (!group->meth->field_decode(group, y, &point->Y, ctx)) goto err;
}
if (z != NULL)
{
if (!group->meth->field_decode(group, z, &point->Z, ctx)) goto err;
}
}
else
{
if (x != NULL)
{
if (!BN_copy(x, &point->X)) goto err;
}
if (y != NULL)
{
if (!BN_copy(y, &point->Y)) goto err;
}
if (z != NULL)
{
if (!BN_copy(z, &point->Z)) goto err;
}
}
ret = 1;
err:
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
@ -349,6 +488,20 @@ int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POI
}
int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
if (x == NULL || y == NULL)
{
/* unlike for projective coordinates, we do not tolerate this */
ECerr(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
return EC_POINT_set_Jprojective_coordinates_GFp(group, point, x, y, BN_value_one(), ctx);
}
int ec_GFp_simple_point_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
@ -438,8 +591,93 @@ int ec_GFp_simple_point_get_affine_coordinates_GFp(const EC_GROUP *group, const
int ec_GFp_simple_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, int y_bit, BN_CTX *);
/* TODO */
const BIGNUM *x, int y_bit, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *tmp1, *tmp2, *y;
int ret = 0;
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
y_bit = (y_bit != 0);
BN_CTX_start(ctx);
tmp1 = BN_CTX_get(ctx);
tmp2 = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL) goto err;
/* Recover y. We have a Weierstrass equation
* y^2 = x^3 + a*x + b,
* so y is one of the square roots of x^3 + a*x + b.
*/
/* tmp1 := x^3 */
if (!BN_mod_sqr(tmp2, x, &group->field, ctx)) goto err;
if (!BN_mod_mul(tmp1, tmp2, x, &group->field, ctx)) goto err;
/* tmp1 := tmp1 + a*x */
if (group->a_is_minus3)
{
if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err;
if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err;
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
}
else
{
if (!BN_mod_mul(tmp2, &group->a, x, &group->field, ctx)) goto err;
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
}
/* tmp1 := tmp1 + b */
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) goto err;
if (!BN_mod_sqrt(y, tmp1, &group->field, ctx))
{
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, ERR_R_BN_LIB);
goto err;
}
/* If tmp1 is not a square (i.e. there is no point on the curve with
* our x), then y now is a nonsense value too */
if (y_bit != BN_is_odd(y))
{
if (BN_is_zero(y))
{
int kron;
kron = BN_kronecker(x, &group->field, ctx);
if (kron == -2) goto err;
if (kron == 1)
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, EC_R_INVALID_COMPRESSION_BIT);
else
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, EC_R_INVALID_COMPRESSED_POINT);
goto err;
}
if (!BN_usub(y, &group->field, y)) goto err;
}
if (y_bit != BN_is_odd(y))
{
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, ERR_R_INTERNAL_ERROR);
goto err;
}
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
@ -638,7 +876,11 @@ int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
goto err;
}
if (form != POINT_CONVERSION_COMPRESSED)
if (form == POINT_CONVERSION_COMPRESSED)
{
if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) goto err;
}
else
{
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
if (BN_ucmp(y, &group->field) >= 0)
@ -654,65 +896,10 @@ int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
goto err;
}
}
}
if (form == POINT_CONVERSION_COMPRESSED)
{
/* Recover y. We have a Weierstrass equation
* y^2 = x^3 + a*x + b,
* so y is one of the square roots of x^3 + a*x + b.
*/
BIGNUM *tmp1, *tmp2;
tmp1 = BN_CTX_get(ctx);
tmp2 = BN_CTX_get(ctx);
if (tmp2 == NULL) goto err;
/* tmp1 := x^3 */
if (!BN_mod_sqr(tmp2, x, &group->field, ctx)) goto err;
if (!BN_mod_mul(tmp1, tmp2, x, &group->field, ctx)) goto err;
/* tmp1 := tmp1 + a*x */
if (group->a_is_minus3)
{
if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err;
if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err;
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
}
else
{
if (!BN_mod_mul(tmp2, &group->a, x, &group->field, ctx)) goto err;
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
}
/* tmp1 := tmp1 + b */
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) goto err;
if (!BN_mod_sqrt(y, tmp1, &group->field, ctx))
{
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, ERR_R_BN_LIB);
goto err;
}
if (y_bit != BN_is_odd(y))
{
if (BN_is_zero(y))
{
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
goto err;
}
if (!BN_usub(y, &group->field, y)) goto err;
}
if (y_bit != BN_is_odd(y))
{
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, ERR_R_INTERNAL_ERROR);
goto err;
}
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
}
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
{
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
@ -1010,8 +1197,14 @@ int ec_GFp_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_
}
int ec_GFp_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
/* TODO */
int ec_GFp_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
{
if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y))
/* point is its own inverse */
return 1;
return BN_usub(&point->Y, &group->field, &point->Y);
}
int ec_GFp_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
@ -1072,7 +1265,7 @@ int ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_C
/* rh := rh + a*X*Z^4 */
if (!field_mul(group, tmp1, &point->X, Z4, ctx)) goto err;
if (&group->a_is_minus3)
if (group->a_is_minus3)
{
if (!BN_mod_lshift1_quick(tmp2, tmp1, p)) goto err;
if (!BN_mod_add_quick(tmp2, tmp2, tmp1, p)) goto err;
@ -1093,7 +1286,7 @@ int ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_C
/* point->Z_is_one */
/* rh := rh + a*X */
if (&group->a_is_minus3)
if (group->a_is_minus3)
{
if (!BN_mod_lshift1_quick(tmp2, &point->X, p)) goto err;
if (!BN_mod_add_quick(tmp2, tmp2, &point->X, p)) goto err;
@ -1122,8 +1315,107 @@ int ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_C
}
int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
/* TODO */
int ec_GFp_simple_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
{
/* return values:
* -1 error
* 0 equal (in affine coordinates)
* 1 not equal
*/
int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
BN_CTX *new_ctx = NULL;
BIGNUM *tmp1, *tmp2, *Za23, *Zb23;
const BIGNUM *tmp1_, *tmp2_;
int ret = -1;
if (EC_POINT_is_at_infinity(group, a))
{
return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
}
if (a->Z_is_one && b->Z_is_one)
{
return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1;
}
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return -1;
}
BN_CTX_start(ctx);
tmp1 = BN_CTX_get(ctx);
tmp2 = BN_CTX_get(ctx);
Za23 = BN_CTX_get(ctx);
Zb23 = BN_CTX_get(ctx);
if (Zb23 == NULL) goto end;
/* We have to decide whether
* (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3),
* or equivalently, whether
* (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3).
*/
if (!b->Z_is_one)
{
if (!field_sqr(group, Zb23, &b->Z, ctx)) goto end;
if (!field_mul(group, tmp1, &a->X, Zb23, ctx)) goto end;
tmp1_ = tmp1;
}
else
tmp1_ = &a->X;
if (!a->Z_is_one)
{
if (!field_sqr(group, Za23, &a->Z, ctx)) goto end;
if (!field_mul(group, tmp2, &b->X, Za23, ctx)) goto end;
tmp2_ = tmp2;
}
else
tmp2_ = &b->X;
/* compare X_a*Z_b^2 with X_b*Z_a^2 */
if (BN_cmp(tmp1_, tmp2_) != 0)
{
ret = 1; /* points differ */
goto end;
}
if (!b->Z_is_one)
{
if (!field_mul(group, Zb23, Zb23, &b->Z, ctx)) goto end;
if (!field_mul(group, tmp1, &a->Y, Zb23, ctx)) goto end;
}
if (!a->Z_is_one)
{
if (!field_mul(group, Za23, Za23, &a->Z, ctx)) goto end;
if (!field_mul(group, tmp2, &b->Y, Za23, ctx)) goto end;
}
/* tmp1_ and tmp2_ are still ok */
/* compare Y_a*Z_b^3 with Y_b*Z_a^3 */
if (BN_cmp(tmp1_, tmp2_) != 0)
{
ret = 1; /* points differ */
goto end;
}
/* points are equal */
ret = 0;
end:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
int ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)

151
crypto/ec/ectest.c
View File

@ -1,4 +1,3 @@
/* TODO */
/* crypto/ec/ectest.c */
/* ====================================================================
* Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
@ -57,26 +56,164 @@
#include <stdio.h>
#include <stdlib.h>
#ifdef OPENSSL_NO_EC
int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
#else
#include <openssl/ec.h>
#include <openssl/err.h>
#define ABORT do { \
fprintf(stderr, "%s:%d: Error\n", __FILE__, __LINE__); \
fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
ERR_print_errors_fp(stderr); \
exit(1); \
} while (0)
int main(int argc, char *argv[])
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_POINT *P, *Q, *R;
BIGNUM *x, *y, *z;
unsigned char buf[100];
size_t i, len;
CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
ERR_load_crypto_strings();
#if 0
group = EC_GROUP_new(NULL);
if (!group) ABORT;
#if 0 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
#endif
p = BN_new();
a = BN_new();
b = BN_new();
if (!p || !a || !b) ABORT;
if (!BN_hex2bn(&p, "D")) ABORT;
if (!BN_hex2bn(&a, "7")) ABORT;
if (!BN_hex2bn(&b, "C")) ABORT;
group = EC_GROUP_new_curve_GFp(p, a, b, NULL);
if (!group) ABORT;
fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
BN_print_fp(stdout, p);
fprintf(stdout, ")\n a = 0x");
BN_print_fp(stdout, a);
fprintf(stdout, "\n b = 0x");
BN_print_fp(stdout, b);
fprintf(stdout, "\n");
P = EC_POINT_new(group);
Q = EC_POINT_new(group);
R = EC_POINT_new(group);
if (!P || !Q || !R) ABORT;
if (!EC_POINT_set_to_infinity(group, P)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
buf[0] = 0;
if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
x = BN_new();
y = BN_new();
z = BN_new();
if (!x || !y || !z) ABORT;
if (!BN_hex2bn(&x, "C")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, Q, ctx))
{
fprintf(stderr, "Point is not on curve, x = 0x");
BN_print_fp(stderr, x);
fprintf(stderr, "\n");
ABORT;
}
fprintf(stdout, "A cyclic subgroup:\n");
do
{
if (EC_POINT_is_at_infinity(group, P))
fprintf(stdout, " point at infinity\n");
else
{
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, " x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
}
if (!EC_POINT_copy(R, P)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
#if 0 /* optional */
if (!EC_POINT_make_affine(group, P, ctx)) ABORT;
#endif
}
while (!EC_POINT_is_at_infinity(group, P));
if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "Generator as octect string, compressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", Y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, ", Z = 0x");
BN_print_fp(stdout, z);
fprintf(stdout, "\n");
if (!EC_POINT_invert(group, P, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
/* ... */
if (ctx)
BN_CTX_free(ctx);
BN_free(p); BN_free(a); BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x); BN_free(y); BN_free(z);
ERR_free_strings();
ERR_remove_state(0);
CRYPTO_mem_leaks_fp(stderr);
return 0;
}
#endif