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396cb565
编写于
8月 27, 2010
作者:
B
Bodo Möller
浏览文件
操作
浏览文件
下载
电子邮件补丁
差异文件
More C language police work.
上级
eb8ef241
变更
1
隐藏空白更改
内联
并排
Showing
1 changed file
with
53 addition
and
43 deletion
+53
-43
crypto/ec/ecp_nistp224.c
crypto/ec/ecp_nistp224.c
+53
-43
未找到文件。
crypto/ec/ecp_nistp224.c
浏览文件 @
396cb565
...
@@ -68,27 +68,15 @@
...
@@ -68,27 +68,15 @@
#include <openssl/err.h>
#include <openssl/err.h>
#include "ec_lcl.h"
#include "ec_lcl.h"
typedef
__uint128_t
uint128_t
;
/* nonstandard; implemented by gcc on 64-bit platforms */
#if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1))
/* even with gcc, the typedef won't work for 32-bit platforms */
typedef
__uint128_t
uint128_t
;
/* nonstandard; implemented by gcc on 64-bit platforms */
#else
#error "Need GCC 3.1 or later to define type uint128_t"
#endif
typedef
uint8_t
u8
;
typedef
uint8_t
u8
;
static
const
u8
nistp224_curve_params
[
5
*
28
]
=
{
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
/* p */
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x01
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
/* a */
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFE
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFE
,
0xB4
,
0x05
,
0x0A
,
0x85
,
0x0C
,
0x04
,
0xB3
,
0xAB
,
0xF5
,
0x41
,
/* b */
0x32
,
0x56
,
0x50
,
0x44
,
0xB0
,
0xB7
,
0xD7
,
0xBF
,
0xD8
,
0xBA
,
0x27
,
0x0B
,
0x39
,
0x43
,
0x23
,
0x55
,
0xFF
,
0xB4
,
0xB7
,
0x0E
,
0x0C
,
0xBD
,
0x6B
,
0xB4
,
0xBF
,
0x7F
,
0x32
,
0x13
,
/* x */
0x90
,
0xB9
,
0x4A
,
0x03
,
0xC1
,
0xD3
,
0x56
,
0xC2
,
0x11
,
0x22
,
0x34
,
0x32
,
0x80
,
0xD6
,
0x11
,
0x5C
,
0x1D
,
0x21
,
0xbd
,
0x37
,
0x63
,
0x88
,
0xb5
,
0xf7
,
0x23
,
0xfb
,
0x4c
,
0x22
,
/* y */
0xdf
,
0xe6
,
0xcd
,
0x43
,
0x75
,
0xa0
,
0x5a
,
0x07
,
0x47
,
0x64
,
0x44
,
0xd5
,
0x81
,
0x99
,
0x85
,
0x00
,
0x7e
,
0x34
};
/******************************************************************************/
/******************************************************************************/
/* INTERNAL REPRESENTATION OF FIELD ELEMENTS
/* INTERNAL REPRESENTATION OF FIELD ELEMENTS
...
@@ -108,8 +96,27 @@ static const u8 nistp224_curve_params[5*28] = {
...
@@ -108,8 +96,27 @@ static const u8 nistp224_curve_params[5*28] = {
typedef
uint64_t
fslice
;
typedef
uint64_t
fslice
;
/* Field element size (and group order size), in bytes: 28*8 = 224 */
/* Field element represented as a byte arrary.
static
const
unsigned
fElemSize
=
28
;
* 28*8 = 224 bits is also the group order size for the elliptic curve. */
typedef
u8
felem_bytearray
[
28
];
static
const
felem_bytearray
nistp224_curve_params
[
5
]
=
{
{
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
/* p */
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x00
,
0x01
},
{
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
/* a */
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFE
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFF
,
0xFE
},
{
0xB4
,
0x05
,
0x0A
,
0x85
,
0x0C
,
0x04
,
0xB3
,
0xAB
,
0xF5
,
0x41
,
/* b */
0x32
,
0x56
,
0x50
,
0x44
,
0xB0
,
0xB7
,
0xD7
,
0xBF
,
0xD8
,
0xBA
,
0x27
,
0x0B
,
0x39
,
0x43
,
0x23
,
0x55
,
0xFF
,
0xB4
},
{
0xB7
,
0x0E
,
0x0C
,
0xBD
,
0x6B
,
0xB4
,
0xBF
,
0x7F
,
0x32
,
0x13
,
/* x */
0x90
,
0xB9
,
0x4A
,
0x03
,
0xC1
,
0xD3
,
0x56
,
0xC2
,
0x11
,
0x22
,
0x34
,
0x32
,
0x80
,
0xD6
,
0x11
,
0x5C
,
0x1D
,
0x21
},
{
0xbd
,
0x37
,
0x63
,
0x88
,
0xb5
,
0xf7
,
0x23
,
0xfb
,
0x4c
,
0x22
,
/* y */
0xdf
,
0xe6
,
0xcd
,
0x43
,
0x75
,
0xa0
,
0x5a
,
0x07
,
0x47
,
0x64
,
0x44
,
0xd5
,
0x81
,
0x99
,
0x85
,
0x00
,
0x7e
,
0x34
}
};
/* Precomputed multiples of the standard generator
/* Precomputed multiples of the standard generator
* b_0*G + b_1*2^56*G + b_2*2^112*G + b_3*2^168*G for
* b_0*G + b_1*2^56*G + b_2*2^112*G + b_3*2^168*G for
...
@@ -252,14 +259,14 @@ static void flip_endian(u8 *out, const u8 *in, unsigned len)
...
@@ -252,14 +259,14 @@ static void flip_endian(u8 *out, const u8 *in, unsigned len)
/* From OpenSSL BIGNUM to internal representation */
/* From OpenSSL BIGNUM to internal representation */
static
int
BN_to_felem
(
fslice
out
[
4
],
const
BIGNUM
*
bn
)
static
int
BN_to_felem
(
fslice
out
[
4
],
const
BIGNUM
*
bn
)
{
{
u8
b_in
[
fElemSize
]
;
felem_bytearray
b_in
;
u8
b_out
[
fElemSize
]
;
felem_bytearray
b_out
;
unsigned
num_bytes
;
unsigned
num_bytes
;
/* BN_bn2bin eats leading zeroes */
/* BN_bn2bin eats leading zeroes */
memset
(
b_out
,
0
,
fElemSize
);
memset
(
b_out
,
0
,
sizeof
b_out
);
num_bytes
=
BN_num_bytes
(
bn
);
num_bytes
=
BN_num_bytes
(
bn
);
if
(
num_bytes
>
fElemSize
)
if
(
num_bytes
>
sizeof
b_out
)
{
{
ECerr
(
EC_F_BN_TO_FELEM
,
EC_R_BIGNUM_OUT_OF_RANGE
);
ECerr
(
EC_F_BN_TO_FELEM
,
EC_R_BIGNUM_OUT_OF_RANGE
);
return
0
;
return
0
;
...
@@ -278,10 +285,10 @@ static int BN_to_felem(fslice out[4], const BIGNUM *bn)
...
@@ -278,10 +285,10 @@ static int BN_to_felem(fslice out[4], const BIGNUM *bn)
/* From internal representation to OpenSSL BIGNUM */
/* From internal representation to OpenSSL BIGNUM */
static
BIGNUM
*
felem_to_BN
(
BIGNUM
*
out
,
const
fslice
in
[
4
])
static
BIGNUM
*
felem_to_BN
(
BIGNUM
*
out
,
const
fslice
in
[
4
])
{
{
u8
b_in
[
fElemSize
],
b_out
[
fElemSize
]
;
felem_bytearray
b_in
,
b_out
;
felem_to_bin28
(
b_in
,
in
);
felem_to_bin28
(
b_in
,
in
);
flip_endian
(
b_out
,
b_in
,
fElemSize
);
flip_endian
(
b_out
,
b_in
,
sizeof
b_out
);
return
BN_bin2bn
(
b_out
,
fElemSize
,
out
);
return
BN_bin2bn
(
b_out
,
sizeof
b_out
,
out
);
}
}
/******************************************************************************/
/******************************************************************************/
...
@@ -959,7 +966,7 @@ static void select_point(const fslice bits[4], const fslice pre_comp[16][3][4],
...
@@ -959,7 +966,7 @@ static void select_point(const fslice bits[4], const fslice pre_comp[16][3][4],
* of the generator, using certain (large) precomputed multiples in g_pre_comp.
* of the generator, using certain (large) precomputed multiples in g_pre_comp.
* Output point (X, Y, Z) is stored in x_out, y_out, z_out */
* Output point (X, Y, Z) is stored in x_out, y_out, z_out */
static
void
batch_mul
(
fslice
x_out
[
4
],
fslice
y_out
[
4
],
fslice
z_out
[
4
],
static
void
batch_mul
(
fslice
x_out
[
4
],
fslice
y_out
[
4
],
fslice
z_out
[
4
],
const
u8
scalars
[][
fElemSize
],
const
unsigned
num_points
,
const
u8
*
g_scalar
,
const
felem_bytearray
scalars
[
],
const
unsigned
num_points
,
const
u8
*
g_scalar
,
const
fslice
pre_comp
[][
16
][
3
][
4
],
const
fslice
g_pre_comp
[
16
][
3
][
4
])
const
fslice
pre_comp
[][
16
][
3
][
4
],
const
fslice
g_pre_comp
[
16
][
3
][
4
])
{
{
unsigned
i
,
j
,
num
;
unsigned
i
,
j
,
num
;
...
@@ -1104,9 +1111,9 @@ int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
...
@@ -1104,9 +1111,9 @@ int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
if
(((
curve_p
=
BN_CTX_get
(
ctx
))
==
NULL
)
||
if
(((
curve_p
=
BN_CTX_get
(
ctx
))
==
NULL
)
||
((
curve_a
=
BN_CTX_get
(
ctx
))
==
NULL
)
||
((
curve_a
=
BN_CTX_get
(
ctx
))
==
NULL
)
||
((
curve_b
=
BN_CTX_get
(
ctx
))
==
NULL
))
goto
err
;
((
curve_b
=
BN_CTX_get
(
ctx
))
==
NULL
))
goto
err
;
BN_bin2bn
(
nistp224_curve_params
,
fElemSize
,
curve_p
);
BN_bin2bn
(
nistp224_curve_params
[
0
],
sizeof
(
felem_bytearray
)
,
curve_p
);
BN_bin2bn
(
nistp224_curve_params
+
28
,
fElemSize
,
curve_a
);
BN_bin2bn
(
nistp224_curve_params
[
1
],
sizeof
(
felem_bytearray
)
,
curve_a
);
BN_bin2bn
(
nistp224_curve_params
+
56
,
fElemSize
,
curve_b
);
BN_bin2bn
(
nistp224_curve_params
[
2
],
sizeof
(
felem_bytearray
)
,
curve_b
);
if
((
BN_cmp
(
curve_p
,
p
))
||
(
BN_cmp
(
curve_a
,
a
))
||
if
((
BN_cmp
(
curve_p
,
p
))
||
(
BN_cmp
(
curve_a
,
a
))
||
(
BN_cmp
(
curve_b
,
b
)))
(
BN_cmp
(
curve_b
,
b
)))
{
{
...
@@ -1175,10 +1182,10 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1175,10 +1182,10 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
int
i
,
j
;
int
i
,
j
;
BN_CTX
*
new_ctx
=
NULL
;
BN_CTX
*
new_ctx
=
NULL
;
BIGNUM
*
x
,
*
y
,
*
z
,
*
tmp_scalar
;
BIGNUM
*
x
,
*
y
,
*
z
,
*
tmp_scalar
;
u8
g_secret
[
fElemSize
]
;
felem_bytearray
g_secret
;
u8
(
*
secrets
)[
fElemSize
]
=
NULL
;
felem_bytearray
*
secrets
=
NULL
;
fslice
(
*
pre_comp
)[
16
][
3
][
4
]
=
NULL
;
fslice
(
*
pre_comp
)[
16
][
3
][
4
]
=
NULL
;
u8
tmp
[
fElemSize
]
;
felem_bytearray
tmp
;
unsigned
num_bytes
;
unsigned
num_bytes
;
int
have_pre_comp
=
0
;
int
have_pre_comp
=
0
;
size_t
num_points
=
num
;
size_t
num_points
=
num
;
...
@@ -1231,7 +1238,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1231,7 +1238,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
* treat the generator as a random point */
* treat the generator as a random point */
num_points
=
num_points
+
1
;
num_points
=
num_points
+
1
;
}
}
secrets
=
OPENSSL_malloc
(
num_points
*
fElemSize
);
secrets
=
OPENSSL_malloc
(
num_points
*
sizeof
(
felem_bytearray
)
);
pre_comp
=
OPENSSL_malloc
(
num_points
*
16
*
3
*
4
*
sizeof
(
fslice
));
pre_comp
=
OPENSSL_malloc
(
num_points
*
16
*
3
*
4
*
sizeof
(
fslice
));
if
((
num_points
)
&&
((
secrets
==
NULL
)
||
(
pre_comp
==
NULL
)))
if
((
num_points
)
&&
((
secrets
==
NULL
)
||
(
pre_comp
==
NULL
)))
...
@@ -1242,7 +1249,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1242,7 +1249,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
/* we treat NULL scalars as 0, and NULL points as points at infinity,
/* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination */
* i.e., they contribute nothing to the linear combination */
memset
(
secrets
,
0
,
num_points
*
fElemSize
);
memset
(
secrets
,
0
,
num_points
*
sizeof
(
felem_bytearray
)
);
memset
(
pre_comp
,
0
,
num_points
*
16
*
3
*
4
*
sizeof
(
fslice
));
memset
(
pre_comp
,
0
,
num_points
*
16
*
3
*
4
*
sizeof
(
fslice
));
for
(
i
=
0
;
i
<
num_points
;
++
i
)
for
(
i
=
0
;
i
<
num_points
;
++
i
)
{
{
...
@@ -1262,7 +1269,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1262,7 +1269,7 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
{
{
num_bytes
=
BN_num_bytes
(
p_scalar
);
num_bytes
=
BN_num_bytes
(
p_scalar
);
/* reduce scalar to 0 <= scalar < 2^224 */
/* reduce scalar to 0 <= scalar < 2^224 */
if
((
num_bytes
>
fElemSize
)
||
(
BN_is_negative
(
p_scalar
)))
if
((
num_bytes
>
sizeof
(
felem_bytearray
)
)
||
(
BN_is_negative
(
p_scalar
)))
{
{
/* this is an unusual input, and we don't guarantee
/* this is an unusual input, and we don't guarantee
* constant-timeness */
* constant-timeness */
...
@@ -1307,10 +1314,10 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1307,10 +1314,10 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
/* the scalar for the generator */
/* the scalar for the generator */
if
((
scalar
!=
NULL
)
&&
(
have_pre_comp
))
if
((
scalar
!=
NULL
)
&&
(
have_pre_comp
))
{
{
memset
(
g_secret
,
0
,
fElemSize
);
memset
(
g_secret
,
0
,
sizeof
g_secret
);
num_bytes
=
BN_num_bytes
(
scalar
);
num_bytes
=
BN_num_bytes
(
scalar
);
/* reduce scalar to 0 <= scalar < 2^224 */
/* reduce scalar to 0 <= scalar < 2^224 */
if
((
num_bytes
>
fElemSize
)
||
(
BN_is_negative
(
scalar
)))
if
((
num_bytes
>
sizeof
(
felem_bytearray
)
)
||
(
BN_is_negative
(
scalar
)))
{
{
/* this is an unusual input, and we don't guarantee
/* this is an unusual input, and we don't guarantee
* constant-timeness */
* constant-timeness */
...
@@ -1326,14 +1333,14 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
...
@@ -1326,14 +1333,14 @@ int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
flip_endian
(
g_secret
,
tmp
,
num_bytes
);
flip_endian
(
g_secret
,
tmp
,
num_bytes
);
/* do the multiplication with generator precomputation*/
/* do the multiplication with generator precomputation*/
batch_mul
(
x_out
,
y_out
,
z_out
,
batch_mul
(
x_out
,
y_out
,
z_out
,
(
const
u8
(
*
)[
fElemSize
]
)
secrets
,
num_points
,
(
const
felem_bytearray
(
*
)
)
secrets
,
num_points
,
g_secret
,
(
const
fslice
(
*
)[
16
][
3
][
4
])
pre_comp
,
g_secret
,
(
const
fslice
(
*
)[
16
][
3
][
4
])
pre_comp
,
(
const
fslice
(
*
)[
3
][
4
])
g_pre_comp
);
(
const
fslice
(
*
)[
3
][
4
])
g_pre_comp
);
}
}
else
else
/* do the multiplication without generator precomputation */
/* do the multiplication without generator precomputation */
batch_mul
(
x_out
,
y_out
,
z_out
,
batch_mul
(
x_out
,
y_out
,
z_out
,
(
const
u8
(
*
)[
fElemSize
]
)
secrets
,
num_points
,
(
const
felem_bytearray
(
*
)
)
secrets
,
num_points
,
NULL
,
(
const
fslice
(
*
)[
16
][
3
][
4
])
pre_comp
,
NULL
);
NULL
,
(
const
fslice
(
*
)[
16
][
3
][
4
])
pre_comp
,
NULL
);
/* reduce the output to its unique minimal representation */
/* reduce the output to its unique minimal representation */
felem_contract
(
x_in
,
x_out
);
felem_contract
(
x_in
,
x_out
);
...
@@ -1383,8 +1390,8 @@ int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
...
@@ -1383,8 +1390,8 @@ int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
generator
=
EC_POINT_new
(
group
);
generator
=
EC_POINT_new
(
group
);
if
(
generator
==
NULL
)
if
(
generator
==
NULL
)
goto
err
;
goto
err
;
BN_bin2bn
(
nistp224_curve_params
+
84
,
fElemSize
,
x
);
BN_bin2bn
(
nistp224_curve_params
[
3
],
sizeof
(
felem_bytearray
)
,
x
);
BN_bin2bn
(
nistp224_curve_params
+
112
,
fElemSize
,
y
);
BN_bin2bn
(
nistp224_curve_params
[
4
],
sizeof
(
felem_bytearray
)
,
y
);
if
(
!
EC_POINT_set_affine_coordinates_GFp
(
group
,
generator
,
x
,
y
,
ctx
))
if
(
!
EC_POINT_set_affine_coordinates_GFp
(
group
,
generator
,
x
,
y
,
ctx
))
goto
err
;
goto
err
;
if
((
pre
=
nistp224_pre_comp_new
())
==
NULL
)
if
((
pre
=
nistp224_pre_comp_new
())
==
NULL
)
...
@@ -1478,4 +1485,7 @@ int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
...
@@ -1478,4 +1485,7 @@ int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
else
else
return
0
;
return
0
;
}
}
#else
static
void
*
dummy
=&
dummy
;
#endif
#endif
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