-/* crypto/ec/ecp_nistp224.c */
/*
- * Written by Emilia Kasper (Google) for the OpenSSL project.
+ * Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
+
/* Copyright 2011 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* limitations under the License.
*/
+/*
+ * ECDSA low level APIs are deprecated for public use, but still ok for
+ * internal use.
+ */
+#include "internal/deprecated.h"
+
/*
* A 64-bit implementation of the NIST P-224 elliptic curve point multiplication
*
*/
#include <openssl/opensslconf.h>
-#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
-# include <stdint.h>
-# include <string.h>
-# include <openssl/err.h>
-# include "ec_lcl.h"
+#include <stdint.h>
+#include <string.h>
+#include <openssl/err.h>
+#include "ec_local.h"
-# if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1))
+#if defined(__SIZEOF_INT128__) && __SIZEOF_INT128__==16
/* 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
+#else
+# error "Your compiler doesn't appear to support 128-bit integer types"
+#endif
typedef uint8_t u8;
typedef uint64_t u64;
-typedef int64_t s64;
/******************************************************************************/
/*-
*/
typedef uint64_t limb;
+typedef uint64_t limb_aX __attribute((__aligned__(1)));
typedef uint128_t widelimb;
typedef limb felem[4];
typedef widelimb widefelem[7];
/*
- * Field element represented as a byte arrary. 28*8 = 224 bits is also the
+ * Field element represented as a byte array. 28*8 = 224 bits is also the
* group order size for the elliptic curve, and we also use this type for
* scalars for point multiplication.
*/
* locations when doing simple scalar multiplies against the base point,
* and then another four locations using the second 16 elements.
*/
-static const felem gmul[2][16][3] = { {{{0, 0, 0, 0},
- {0, 0, 0, 0},
- {0, 0, 0, 0}},
- {{0x3280d6115c1d21, 0xc1d356c2112234,
- 0x7f321390b94a03, 0xb70e0cbd6bb4bf},
- {0xd5819985007e34, 0x75a05a07476444,
- 0xfb4c22dfe6cd43, 0xbd376388b5f723},
- {1, 0, 0, 0}},
- {{0xfd9675666ebbe9, 0xbca7664d40ce5e,
- 0x2242df8d8a2a43, 0x1f49bbb0f99bc5},
- {0x29e0b892dc9c43, 0xece8608436e662,
- 0xdc858f185310d0, 0x9812dd4eb8d321},
- {1, 0, 0, 0}},
- {{0x6d3e678d5d8eb8, 0x559eed1cb362f1,
- 0x16e9a3bbce8a3f, 0xeedcccd8c2a748},
- {0xf19f90ed50266d, 0xabf2b4bf65f9df,
- 0x313865468fafec, 0x5cb379ba910a17},
- {1, 0, 0, 0}},
- {{0x0641966cab26e3, 0x91fb2991fab0a0,
- 0xefec27a4e13a0b, 0x0499aa8a5f8ebe},
- {0x7510407766af5d, 0x84d929610d5450,
- 0x81d77aae82f706, 0x6916f6d4338c5b},
- {1, 0, 0, 0}},
- {{0xea95ac3b1f15c6, 0x086000905e82d4,
- 0xdd323ae4d1c8b1, 0x932b56be7685a3},
- {0x9ef93dea25dbbf, 0x41665960f390f0,
- 0xfdec76dbe2a8a7, 0x523e80f019062a},
- {1, 0, 0, 0}},
- {{0x822fdd26732c73, 0xa01c83531b5d0f,
- 0x363f37347c1ba4, 0xc391b45c84725c},
- {0xbbd5e1b2d6ad24, 0xddfbcde19dfaec,
- 0xc393da7e222a7f, 0x1efb7890ede244},
- {1, 0, 0, 0}},
- {{0x4c9e90ca217da1, 0xd11beca79159bb,
- 0xff8d33c2c98b7c, 0x2610b39409f849},
- {0x44d1352ac64da0, 0xcdbb7b2c46b4fb,
- 0x966c079b753c89, 0xfe67e4e820b112},
- {1, 0, 0, 0}},
- {{0xe28cae2df5312d, 0xc71b61d16f5c6e,
- 0x79b7619a3e7c4c, 0x05c73240899b47},
- {0x9f7f6382c73e3a, 0x18615165c56bda,
- 0x641fab2116fd56, 0x72855882b08394},
- {1, 0, 0, 0}},
- {{0x0469182f161c09, 0x74a98ca8d00fb5,
- 0xb89da93489a3e0, 0x41c98768fb0c1d},
- {0xe5ea05fb32da81, 0x3dce9ffbca6855,
- 0x1cfe2d3fbf59e6, 0x0e5e03408738a7},
- {1, 0, 0, 0}},
- {{0xdab22b2333e87f, 0x4430137a5dd2f6,
- 0xe03ab9f738beb8, 0xcb0c5d0dc34f24},
- {0x764a7df0c8fda5, 0x185ba5c3fa2044,
- 0x9281d688bcbe50, 0xc40331df893881},
- {1, 0, 0, 0}},
- {{0xb89530796f0f60, 0xade92bd26909a3,
- 0x1a0c83fb4884da, 0x1765bf22a5a984},
- {0x772a9ee75db09e, 0x23bc6c67cec16f,
- 0x4c1edba8b14e2f, 0xe2a215d9611369},
- {1, 0, 0, 0}},
- {{0x571e509fb5efb3, 0xade88696410552,
- 0xc8ae85fada74fe, 0x6c7e4be83bbde3},
- {0xff9f51160f4652, 0xb47ce2495a6539,
- 0xa2946c53b582f4, 0x286d2db3ee9a60},
- {1, 0, 0, 0}},
- {{0x40bbd5081a44af, 0x0995183b13926c,
- 0xbcefba6f47f6d0, 0x215619e9cc0057},
- {0x8bc94d3b0df45e, 0xf11c54a3694f6f,
- 0x8631b93cdfe8b5, 0xe7e3f4b0982db9},
- {1, 0, 0, 0}},
- {{0xb17048ab3e1c7b, 0xac38f36ff8a1d8,
- 0x1c29819435d2c6, 0xc813132f4c07e9},
- {0x2891425503b11f, 0x08781030579fea,
- 0xf5426ba5cc9674, 0x1e28ebf18562bc},
- {1, 0, 0, 0}},
- {{0x9f31997cc864eb, 0x06cd91d28b5e4c,
- 0xff17036691a973, 0xf1aef351497c58},
- {0xdd1f2d600564ff, 0xdead073b1402db,
- 0x74a684435bd693, 0xeea7471f962558},
- {1, 0, 0, 0}}},
+static const felem gmul[2][16][3] = {
+{{{0, 0, 0, 0},
+ {0, 0, 0, 0},
+ {0, 0, 0, 0}},
+ {{0x3280d6115c1d21, 0xc1d356c2112234, 0x7f321390b94a03, 0xb70e0cbd6bb4bf},
+ {0xd5819985007e34, 0x75a05a07476444, 0xfb4c22dfe6cd43, 0xbd376388b5f723},
+ {1, 0, 0, 0}},
+ {{0xfd9675666ebbe9, 0xbca7664d40ce5e, 0x2242df8d8a2a43, 0x1f49bbb0f99bc5},
+ {0x29e0b892dc9c43, 0xece8608436e662, 0xdc858f185310d0, 0x9812dd4eb8d321},
+ {1, 0, 0, 0}},
+ {{0x6d3e678d5d8eb8, 0x559eed1cb362f1, 0x16e9a3bbce8a3f, 0xeedcccd8c2a748},
+ {0xf19f90ed50266d, 0xabf2b4bf65f9df, 0x313865468fafec, 0x5cb379ba910a17},
+ {1, 0, 0, 0}},
+ {{0x0641966cab26e3, 0x91fb2991fab0a0, 0xefec27a4e13a0b, 0x0499aa8a5f8ebe},
+ {0x7510407766af5d, 0x84d929610d5450, 0x81d77aae82f706, 0x6916f6d4338c5b},
+ {1, 0, 0, 0}},
+ {{0xea95ac3b1f15c6, 0x086000905e82d4, 0xdd323ae4d1c8b1, 0x932b56be7685a3},
+ {0x9ef93dea25dbbf, 0x41665960f390f0, 0xfdec76dbe2a8a7, 0x523e80f019062a},
+ {1, 0, 0, 0}},
+ {{0x822fdd26732c73, 0xa01c83531b5d0f, 0x363f37347c1ba4, 0xc391b45c84725c},
+ {0xbbd5e1b2d6ad24, 0xddfbcde19dfaec, 0xc393da7e222a7f, 0x1efb7890ede244},
+ {1, 0, 0, 0}},
+ {{0x4c9e90ca217da1, 0xd11beca79159bb, 0xff8d33c2c98b7c, 0x2610b39409f849},
+ {0x44d1352ac64da0, 0xcdbb7b2c46b4fb, 0x966c079b753c89, 0xfe67e4e820b112},
+ {1, 0, 0, 0}},
+ {{0xe28cae2df5312d, 0xc71b61d16f5c6e, 0x79b7619a3e7c4c, 0x05c73240899b47},
+ {0x9f7f6382c73e3a, 0x18615165c56bda, 0x641fab2116fd56, 0x72855882b08394},
+ {1, 0, 0, 0}},
+ {{0x0469182f161c09, 0x74a98ca8d00fb5, 0xb89da93489a3e0, 0x41c98768fb0c1d},
+ {0xe5ea05fb32da81, 0x3dce9ffbca6855, 0x1cfe2d3fbf59e6, 0x0e5e03408738a7},
+ {1, 0, 0, 0}},
+ {{0xdab22b2333e87f, 0x4430137a5dd2f6, 0xe03ab9f738beb8, 0xcb0c5d0dc34f24},
+ {0x764a7df0c8fda5, 0x185ba5c3fa2044, 0x9281d688bcbe50, 0xc40331df893881},
+ {1, 0, 0, 0}},
+ {{0xb89530796f0f60, 0xade92bd26909a3, 0x1a0c83fb4884da, 0x1765bf22a5a984},
+ {0x772a9ee75db09e, 0x23bc6c67cec16f, 0x4c1edba8b14e2f, 0xe2a215d9611369},
+ {1, 0, 0, 0}},
+ {{0x571e509fb5efb3, 0xade88696410552, 0xc8ae85fada74fe, 0x6c7e4be83bbde3},
+ {0xff9f51160f4652, 0xb47ce2495a6539, 0xa2946c53b582f4, 0x286d2db3ee9a60},
+ {1, 0, 0, 0}},
+ {{0x40bbd5081a44af, 0x0995183b13926c, 0xbcefba6f47f6d0, 0x215619e9cc0057},
+ {0x8bc94d3b0df45e, 0xf11c54a3694f6f, 0x8631b93cdfe8b5, 0xe7e3f4b0982db9},
+ {1, 0, 0, 0}},
+ {{0xb17048ab3e1c7b, 0xac38f36ff8a1d8, 0x1c29819435d2c6, 0xc813132f4c07e9},
+ {0x2891425503b11f, 0x08781030579fea, 0xf5426ba5cc9674, 0x1e28ebf18562bc},
+ {1, 0, 0, 0}},
+ {{0x9f31997cc864eb, 0x06cd91d28b5e4c, 0xff17036691a973, 0xf1aef351497c58},
+ {0xdd1f2d600564ff, 0xdead073b1402db, 0x74a684435bd693, 0xeea7471f962558},
+ {1, 0, 0, 0}}},
{{{0, 0, 0, 0},
{0, 0, 0, 0},
{0, 0, 0, 0}},
};
/* Precomputation for the group generator. */
-typedef struct {
+struct nistp224_pre_comp_st {
felem g_pre_comp[2][16][3];
- int references;
-} NISTP224_PRE_COMP;
+ CRYPTO_REF_COUNT references;
+ CRYPTO_RWLOCK *lock;
+};
const EC_METHOD *EC_GFp_nistp224_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
- ec_GFp_nistp224_group_init,
- ec_GFp_simple_group_finish,
- ec_GFp_simple_group_clear_finish,
- ec_GFp_nist_group_copy,
- ec_GFp_nistp224_group_set_curve,
- ec_GFp_simple_group_get_curve,
- ec_GFp_simple_group_get_degree,
- ec_GFp_simple_group_check_discriminant,
- ec_GFp_simple_point_init,
- ec_GFp_simple_point_finish,
- ec_GFp_simple_point_clear_finish,
- ec_GFp_simple_point_copy,
- ec_GFp_simple_point_set_to_infinity,
- ec_GFp_simple_set_Jprojective_coordinates_GFp,
- ec_GFp_simple_get_Jprojective_coordinates_GFp,
- ec_GFp_simple_point_set_affine_coordinates,
- ec_GFp_nistp224_point_get_affine_coordinates,
+ ossl_ec_GFp_nistp224_group_init,
+ ossl_ec_GFp_simple_group_finish,
+ ossl_ec_GFp_simple_group_clear_finish,
+ ossl_ec_GFp_nist_group_copy,
+ ossl_ec_GFp_nistp224_group_set_curve,
+ ossl_ec_GFp_simple_group_get_curve,
+ ossl_ec_GFp_simple_group_get_degree,
+ ossl_ec_group_simple_order_bits,
+ ossl_ec_GFp_simple_group_check_discriminant,
+ ossl_ec_GFp_simple_point_init,
+ ossl_ec_GFp_simple_point_finish,
+ ossl_ec_GFp_simple_point_clear_finish,
+ ossl_ec_GFp_simple_point_copy,
+ ossl_ec_GFp_simple_point_set_to_infinity,
+ ossl_ec_GFp_simple_point_set_affine_coordinates,
+ ossl_ec_GFp_nistp224_point_get_affine_coordinates,
0 /* point_set_compressed_coordinates */ ,
0 /* point2oct */ ,
0 /* oct2point */ ,
- ec_GFp_simple_add,
- ec_GFp_simple_dbl,
- ec_GFp_simple_invert,
- ec_GFp_simple_is_at_infinity,
- ec_GFp_simple_is_on_curve,
- ec_GFp_simple_cmp,
- ec_GFp_simple_make_affine,
- ec_GFp_simple_points_make_affine,
- ec_GFp_nistp224_points_mul,
- ec_GFp_nistp224_precompute_mult,
- ec_GFp_nistp224_have_precompute_mult,
- ec_GFp_nist_field_mul,
- ec_GFp_nist_field_sqr,
+ ossl_ec_GFp_simple_add,
+ ossl_ec_GFp_simple_dbl,
+ ossl_ec_GFp_simple_invert,
+ ossl_ec_GFp_simple_is_at_infinity,
+ ossl_ec_GFp_simple_is_on_curve,
+ ossl_ec_GFp_simple_cmp,
+ ossl_ec_GFp_simple_make_affine,
+ ossl_ec_GFp_simple_points_make_affine,
+ ossl_ec_GFp_nistp224_points_mul,
+ ossl_ec_GFp_nistp224_precompute_mult,
+ ossl_ec_GFp_nistp224_have_precompute_mult,
+ ossl_ec_GFp_nist_field_mul,
+ ossl_ec_GFp_nist_field_sqr,
0 /* field_div */ ,
+ ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
- 0 /* field_set_to_one */
+ 0, /* field_set_to_one */
+ ossl_ec_key_simple_priv2oct,
+ ossl_ec_key_simple_oct2priv,
+ 0, /* set private */
+ ossl_ec_key_simple_generate_key,
+ ossl_ec_key_simple_check_key,
+ ossl_ec_key_simple_generate_public_key,
+ 0, /* keycopy */
+ 0, /* keyfinish */
+ ossl_ecdh_simple_compute_key,
+ ossl_ecdsa_simple_sign_setup,
+ ossl_ecdsa_simple_sign_sig,
+ ossl_ecdsa_simple_verify_sig,
+ 0, /* field_inverse_mod_ord */
+ 0, /* blind_coordinates */
+ 0, /* ladder_pre */
+ 0, /* ladder_step */
+ 0 /* ladder_post */
};
return &ret;
*/
static void bin28_to_felem(felem out, const u8 in[28])
{
- out[0] = *((const uint64_t *)(in)) & 0x00ffffffffffffff;
- out[1] = (*((const uint64_t *)(in + 7))) & 0x00ffffffffffffff;
- out[2] = (*((const uint64_t *)(in + 14))) & 0x00ffffffffffffff;
- out[3] = (*((const uint64_t *)(in+20))) >> 8;
+ out[0] = *((const limb *)(in)) & 0x00ffffffffffffff;
+ out[1] = (*((const limb_aX *)(in + 7))) & 0x00ffffffffffffff;
+ out[2] = (*((const limb_aX *)(in + 14))) & 0x00ffffffffffffff;
+ out[3] = (*((const limb_aX *)(in + 20))) >> 8;
}
static void felem_to_bin28(u8 out[28], const felem in)
}
}
-/* To preserve endianness when using BN_bn2bin and BN_bin2bn */
-static void flip_endian(u8 *out, const u8 *in, unsigned len)
-{
- unsigned i;
- for (i = 0; i < len; ++i)
- out[i] = in[len - 1 - i];
-}
-
/* From OpenSSL BIGNUM to internal representation */
static int BN_to_felem(felem out, const BIGNUM *bn)
{
- felem_bytearray b_in;
felem_bytearray b_out;
- unsigned num_bytes;
+ int num_bytes;
- /* BN_bn2bin eats leading zeroes */
- memset(b_out, 0, sizeof b_out);
- num_bytes = BN_num_bytes(bn);
- if (num_bytes > sizeof b_out) {
- ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE);
+ if (BN_is_negative(bn)) {
+ ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
- if (BN_is_negative(bn)) {
- ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE);
+ num_bytes = BN_bn2lebinpad(bn, b_out, sizeof(b_out));
+ if (num_bytes < 0) {
+ ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
- num_bytes = BN_bn2bin(bn, b_in);
- flip_endian(b_out, b_in, num_bytes);
bin28_to_felem(out, b_out);
return 1;
}
/* From internal representation to OpenSSL BIGNUM */
static BIGNUM *felem_to_BN(BIGNUM *out, const felem in)
{
- felem_bytearray b_in, b_out;
- felem_to_bin28(b_in, in);
- flip_endian(b_out, b_in, sizeof b_out);
- return BN_bin2bn(b_out, sizeof b_out, out);
+ felem_bytearray b_out;
+ felem_to_bin28(b_out, in);
+ return BN_lebin2bn(b_out, sizeof(b_out), out);
}
/******************************************************************************/
out[3] += in[3];
}
-/* Get negative value: out = -in */
-/* Assumes in[i] < 2^57 */
-static void felem_neg(felem out, const felem in)
-{
- static const limb two58p2 = (((limb) 1) << 58) + (((limb) 1) << 2);
- static const limb two58m2 = (((limb) 1) << 58) - (((limb) 1) << 2);
- static const limb two58m42m2 = (((limb) 1) << 58) -
- (((limb) 1) << 42) - (((limb) 1) << 2);
-
- /* Set to 0 mod 2^224-2^96+1 to ensure out > in */
- out[0] = two58p2 - in[0];
- out[1] = two58m42m2 - in[1];
- out[2] = two58m2 - in[2];
- out[3] = two58m2 - in[3];
-}
-
/* Subtract field elements: out -= in */
/* Assumes in[i] < 2^57 */
static void felem_diff(felem out, const felem in)
out[0] = ((widelimb) in1[0]) * in2[0];
out[1] = ((widelimb) in1[0]) * in2[1] + ((widelimb) in1[1]) * in2[0];
out[2] = ((widelimb) in1[0]) * in2[2] + ((widelimb) in1[1]) * in2[1] +
- ((widelimb) in1[2]) * in2[0];
+ ((widelimb) in1[2]) * in2[0];
out[3] = ((widelimb) in1[0]) * in2[3] + ((widelimb) in1[1]) * in2[2] +
- ((widelimb) in1[2]) * in2[1] + ((widelimb) in1[3]) * in2[0];
+ ((widelimb) in1[2]) * in2[1] + ((widelimb) in1[3]) * in2[0];
out[4] = ((widelimb) in1[1]) * in2[3] + ((widelimb) in1[2]) * in2[2] +
- ((widelimb) in1[3]) * in2[1];
+ ((widelimb) in1[3]) * in2[1];
out[5] = ((widelimb) in1[2]) * in2[3] + ((widelimb) in1[3]) * in2[2];
out[6] = ((widelimb) in1[3]) * in2[3];
}
out[3] = tmp[3];
}
+/*
+ * Get negative value: out = -in
+ * Requires in[i] < 2^63,
+ * ensures out[0] < 2^56, out[1] < 2^56, out[2] < 2^56, out[3] <= 2^56 + 2^16
+ */
+static void felem_neg(felem out, const felem in)
+{
+ widefelem tmp;
+
+ memset(tmp, 0, sizeof(tmp));
+ felem_diff_128_64(tmp, in);
+ felem_reduce(out, tmp);
+}
+
/*
* Zero-check: returns 1 if input is 0, and 0 otherwise. We know that field
* elements are reduced to in < 2^225, so we only need to check three cases:
return (zero | two224m96p1 | two225m97p2);
}
-static limb felem_is_zero_int(const felem in)
+static int felem_is_zero_int(const void *in)
{
return (int)(felem_is_zero(in) & ((limb) 1));
}
* Double an elliptic curve point:
* (X', Y', Z') = 2 * (X, Y, Z), where
* X' = (3 * (X - Z^2) * (X + Z^2))^2 - 8 * X * Y^2
- * Y' = 3 * (X - Z^2) * (X + Z^2) * (4 * X * Y^2 - X') - 8 * Y^2
+ * Y' = 3 * (X - Z^2) * (X + Z^2) * (4 * X * Y^2 - X') - 8 * Y^4
* Z' = (Y + Z)^2 - Y^2 - Z^2 = 2 * Y * Z
* Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed,
* while x_out == y_in is not (maybe this works, but it's not tested).
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, x_out, y_out, z_out;
widefelem tmp, tmp2;
limb z1_is_zero, z2_is_zero, x_equal, y_equal;
+ limb points_equal;
if (!mixed) {
/* ftmp2 = z2^2 */
felem_reduce(ftmp, tmp);
/*
- * the formulae are incorrect if the points are equal so we check for
- * this and do doubling if this happens
+ * The formulae are incorrect if the points are equal, in affine coordinates
+ * (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
+ * happens.
+ *
+ * We use bitwise operations to avoid potential side-channels introduced by
+ * the short-circuiting behaviour of boolean operators.
*/
x_equal = felem_is_zero(ftmp);
y_equal = felem_is_zero(ftmp3);
+ /*
+ * The special case of either point being the point at infinity (z1 and/or
+ * z2 are zero), is handled separately later on in this function, so we
+ * avoid jumping to point_double here in those special cases.
+ */
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
- /* In affine coordinates, (X_1, Y_1) == (X_2, Y_2) */
- if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) {
+
+ /*
+ * Compared to `ecp_nistp256.c` and `ecp_nistp521.c`, in this
+ * specific implementation `felem_is_zero()` returns truth as `0x1`
+ * (rather than `0xff..ff`).
+ *
+ * This implies that `~true` in this implementation becomes
+ * `0xff..fe` (rather than `0x0`): for this reason, to be used in
+ * the if expression, we mask out only the last bit in the next
+ * line.
+ */
+ points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero)) & 1;
+
+ if (points_equal) {
+ /*
+ * This is obviously not constant-time but, as mentioned before, this
+ * case never happens during single point multiplication, so there is no
+ * timing leak for ECDH or ECDSA signing.
+ */
point_double(x3, y3, z3, x1, y1, z1);
return;
}
{
unsigned i, j;
limb *outlimbs = &out[0][0];
- memset(outlimbs, 0, 3 * sizeof(felem));
+ memset(out, 0, sizeof(*out) * 3);
for (i = 0; i < size; i++) {
const limb *inlimbs = &pre_comp[i][0][0];
u64 mask = i ^ idx;
u8 sign, digit;
/* set nq to the point at infinity */
- memset(nq, 0, 3 * sizeof(felem));
+ memset(nq, 0, sizeof(nq));
/*
* Loop over all scalars msb-to-lsb, interleaving additions of multiples
bits |= get_bit(scalars[num], i + 1) << 2;
bits |= get_bit(scalars[num], i) << 1;
bits |= get_bit(scalars[num], i - 1);
- ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
+ ossl_ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
/* select the point to add or subtract */
select_point(digit, 17, pre_comp[num], tmp);
* FUNCTIONS TO MANAGE PRECOMPUTATION
*/
-static NISTP224_PRE_COMP *nistp224_pre_comp_new()
+static NISTP224_PRE_COMP *nistp224_pre_comp_new(void)
{
- NISTP224_PRE_COMP *ret = NULL;
- ret = (NISTP224_PRE_COMP *) OPENSSL_malloc(sizeof *ret);
+ NISTP224_PRE_COMP *ret = OPENSSL_zalloc(sizeof(*ret));
+
if (!ret) {
- ECerr(EC_F_NISTP224_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE);
+ ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
return ret;
}
- memset(ret->g_pre_comp, 0, sizeof(ret->g_pre_comp));
- ret->references = 1;
- return ret;
-}
-static void *nistp224_pre_comp_dup(void *src_)
-{
- NISTP224_PRE_COMP *src = src_;
-
- /* no need to actually copy, these objects never change! */
- CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP);
+ ret->references = 1;
- return src_;
+ ret->lock = CRYPTO_THREAD_lock_new();
+ if (ret->lock == NULL) {
+ ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
+ OPENSSL_free(ret);
+ return NULL;
+ }
+ return ret;
}
-static void nistp224_pre_comp_free(void *pre_)
+NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *p)
{
int i;
- NISTP224_PRE_COMP *pre = pre_;
-
- if (!pre)
- return;
-
- i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP);
- if (i > 0)
- return;
-
- OPENSSL_free(pre);
+ if (p != NULL)
+ CRYPTO_UP_REF(&p->references, &i, p->lock);
+ return p;
}
-static void nistp224_pre_comp_clear_free(void *pre_)
+void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *p)
{
int i;
- NISTP224_PRE_COMP *pre = pre_;
- if (!pre)
+ if (p == NULL)
return;
- i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP);
+ CRYPTO_DOWN_REF(&p->references, &i, p->lock);
+ REF_PRINT_COUNT("EC_nistp224", x);
if (i > 0)
return;
+ REF_ASSERT_ISNT(i < 0);
- OPENSSL_cleanse(pre, sizeof *pre);
- OPENSSL_free(pre);
+ CRYPTO_THREAD_lock_free(p->lock);
+ OPENSSL_free(p);
}
/******************************************************************************/
* OPENSSL EC_METHOD FUNCTIONS
*/
-int ec_GFp_nistp224_group_init(EC_GROUP *group)
+int ossl_ec_GFp_nistp224_group_init(EC_GROUP *group)
{
int ret;
- ret = ec_GFp_simple_group_init(group);
+ ret = ossl_ec_GFp_simple_group_init(group);
group->a_is_minus3 = 1;
return ret;
}
-int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
- const BIGNUM *a, const BIGNUM *b,
- BN_CTX *ctx)
+int ossl_ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
+ const BIGNUM *a, const BIGNUM *b,
+ BN_CTX *ctx)
{
int ret = 0;
- BN_CTX *new_ctx = NULL;
BIGNUM *curve_p, *curve_a, *curve_b;
+#ifndef FIPS_MODULE
+ BN_CTX *new_ctx = NULL;
if (ctx == NULL)
- if ((ctx = new_ctx = BN_CTX_new()) == NULL)
- return 0;
+ ctx = new_ctx = BN_CTX_new();
+#endif
+ if (ctx == NULL)
+ return 0;
+
BN_CTX_start(ctx);
- if (((curve_p = BN_CTX_get(ctx)) == NULL) ||
- ((curve_a = BN_CTX_get(ctx)) == NULL) ||
- ((curve_b = BN_CTX_get(ctx)) == NULL))
+ curve_p = BN_CTX_get(ctx);
+ curve_a = BN_CTX_get(ctx);
+ curve_b = BN_CTX_get(ctx);
+ if (curve_b == NULL)
goto err;
BN_bin2bn(nistp224_curve_params[0], sizeof(felem_bytearray), curve_p);
BN_bin2bn(nistp224_curve_params[1], sizeof(felem_bytearray), curve_a);
BN_bin2bn(nistp224_curve_params[2], sizeof(felem_bytearray), curve_b);
if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) {
- ECerr(EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE,
- EC_R_WRONG_CURVE_PARAMETERS);
+ ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
goto err;
}
group->field_mod_func = BN_nist_mod_224;
- ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
+ ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
- if (new_ctx != NULL)
- BN_CTX_free(new_ctx);
+#ifndef FIPS_MODULE
+ BN_CTX_free(new_ctx);
+#endif
return ret;
}
* Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') =
* (X/Z^2, Y/Z^3)
*/
-int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
- const EC_POINT *point,
- BIGNUM *x, BIGNUM *y,
- BN_CTX *ctx)
+int ossl_ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
+ const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y,
+ BN_CTX *ctx)
{
felem z1, z2, x_in, y_in, x_out, y_out;
widefelem tmp;
if (EC_POINT_is_at_infinity(group, point)) {
- ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES,
- EC_R_POINT_AT_INFINITY);
+ ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
- if ((!BN_to_felem(x_in, &point->X)) || (!BN_to_felem(y_in, &point->Y)) ||
- (!BN_to_felem(z1, &point->Z)))
+ if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
+ (!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
felem_contract(x_out, x_in);
if (x != NULL) {
if (!felem_to_BN(x, x_out)) {
- ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES,
- ERR_R_BN_LIB);
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
felem_contract(y_out, y_in);
if (y != NULL) {
if (!felem_to_BN(y, y_out)) {
- ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES,
- ERR_R_BN_LIB);
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
- ec_GFp_nistp_points_make_affine_internal(num,
- points,
- sizeof(felem),
- tmp_felems,
- (void (*)(void *))felem_one,
- (int (*)(const void *))
- felem_is_zero_int,
- (void (*)(void *, const void *))
- felem_assign,
- (void (*)(void *, const void *))
- felem_square_reduce, (void (*)
- (void *,
- const void
- *,
- const void
- *))
- felem_mul_reduce,
- (void (*)(void *, const void *))
- felem_inv,
- (void (*)(void *, const void *))
- felem_contract);
+ ossl_ec_GFp_nistp_points_make_affine_internal(num,
+ points,
+ sizeof(felem),
+ tmp_felems,
+ (void (*)(void *))felem_one,
+ felem_is_zero_int,
+ (void (*)(void *, const void *))
+ felem_assign,
+ (void (*)(void *, const void *))
+ felem_square_reduce, (void (*)
+ (void *,
+ const void
+ *,
+ const void
+ *))
+ felem_mul_reduce,
+ (void (*)(void *, const void *))
+ felem_inv,
+ (void (*)(void *, const void *))
+ felem_contract);
}
/*
* Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL
* values Result is stored in r (r can equal one of the inputs).
*/
-int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
- const BIGNUM *scalar, size_t num,
- const EC_POINT *points[],
- const BIGNUM *scalars[], BN_CTX *ctx)
+int ossl_ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
+ const BIGNUM *scalar, size_t num,
+ const EC_POINT *points[],
+ const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
unsigned i;
int mixed = 0;
- BN_CTX *new_ctx = NULL;
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
- felem(*pre_comp)[17][3] = NULL;
+ felem (*pre_comp)[17][3] = NULL;
felem *tmp_felems = NULL;
- felem_bytearray tmp;
- unsigned num_bytes;
+ int num_bytes;
int have_pre_comp = 0;
size_t num_points = num;
felem x_in, y_in, z_in, x_out, y_out, z_out;
const EC_POINT *p = NULL;
const BIGNUM *p_scalar = NULL;
- if (ctx == NULL)
- if ((ctx = new_ctx = BN_CTX_new()) == NULL)
- return 0;
BN_CTX_start(ctx);
- if (((x = BN_CTX_get(ctx)) == NULL) ||
- ((y = BN_CTX_get(ctx)) == NULL) ||
- ((z = BN_CTX_get(ctx)) == NULL) ||
- ((tmp_scalar = BN_CTX_get(ctx)) == NULL))
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ z = BN_CTX_get(ctx);
+ tmp_scalar = BN_CTX_get(ctx);
+ if (tmp_scalar == NULL)
goto err;
if (scalar != NULL) {
- pre = EC_EX_DATA_get_data(group->extra_data,
- nistp224_pre_comp_dup,
- nistp224_pre_comp_free,
- nistp224_pre_comp_clear_free);
+ pre = group->pre_comp.nistp224;
if (pre)
/* we have precomputation, try to use it */
g_pre_comp = (const felem(*)[16][3])pre->g_pre_comp;
if (!felem_to_BN(x, g_pre_comp[0][1][0]) ||
!felem_to_BN(y, g_pre_comp[0][1][1]) ||
!felem_to_BN(z, g_pre_comp[0][1][2])) {
- ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB);
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
- if (!EC_POINT_set_Jprojective_coordinates_GFp(group,
- generator, x, y, z,
- ctx))
+ if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
+ generator,
+ x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
*/
mixed = 1;
}
- secrets = OPENSSL_malloc(num_points * sizeof(felem_bytearray));
- pre_comp = OPENSSL_malloc(num_points * 17 * 3 * sizeof(felem));
+ secrets = OPENSSL_zalloc(sizeof(*secrets) * num_points);
+ pre_comp = OPENSSL_zalloc(sizeof(*pre_comp) * num_points);
if (mixed)
tmp_felems =
- OPENSSL_malloc((num_points * 17 + 1) * sizeof(felem));
+ OPENSSL_malloc(sizeof(felem) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_felems == NULL))) {
- ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_MALLOC_FAILURE);
+ ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
goto err;
}
* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination
*/
- memset(secrets, 0, num_points * sizeof(felem_bytearray));
- memset(pre_comp, 0, num_points * 17 * 3 * sizeof(felem));
for (i = 0; i < num_points; ++i) {
- if (i == num)
+ if (i == num) {
/* the generator */
- {
p = EC_GROUP_get0_generator(group);
p_scalar = scalar;
- } else
+ } else {
/* the i^th point */
- {
p = points[i];
p_scalar = scalars[i];
}
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
- if (!BN_nnmod(tmp_scalar, p_scalar, &group->order, ctx)) {
- ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB);
+ if (!BN_nnmod(tmp_scalar, p_scalar, group->order, ctx)) {
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
- num_bytes = BN_bn2bin(tmp_scalar, tmp);
- } else
- num_bytes = BN_bn2bin(p_scalar, tmp);
- flip_endian(secrets[i], tmp, num_bytes);
+ num_bytes = BN_bn2lebinpad(tmp_scalar,
+ secrets[i], sizeof(secrets[i]));
+ } else {
+ num_bytes = BN_bn2lebinpad(p_scalar,
+ secrets[i], sizeof(secrets[i]));
+ }
+ if (num_bytes < 0) {
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
+ goto err;
+ }
/* precompute multiples */
- if ((!BN_to_felem(x_out, &p->X)) ||
- (!BN_to_felem(y_out, &p->Y)) ||
- (!BN_to_felem(z_out, &p->Z)))
+ if ((!BN_to_felem(x_out, p->X)) ||
+ (!BN_to_felem(y_out, p->Y)) ||
+ (!BN_to_felem(z_out, p->Z)))
goto err;
felem_assign(pre_comp[i][1][0], x_out);
felem_assign(pre_comp[i][1][1], y_out);
/* the scalar for the generator */
if ((scalar != NULL) && (have_pre_comp)) {
- memset(g_secret, 0, sizeof g_secret);
+ memset(g_secret, 0, sizeof(g_secret));
/* reduce scalar to 0 <= scalar < 2^224 */
if ((BN_num_bits(scalar) > 224) || (BN_is_negative(scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
- if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) {
- ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB);
+ if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
- num_bytes = BN_bn2bin(tmp_scalar, tmp);
- } else
- num_bytes = BN_bn2bin(scalar, tmp);
- flip_endian(g_secret, tmp, num_bytes);
+ num_bytes = BN_bn2lebinpad(tmp_scalar, g_secret, sizeof(g_secret));
+ } else {
+ num_bytes = BN_bn2lebinpad(scalar, g_secret, sizeof(g_secret));
+ }
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
g_secret,
mixed, (const felem(*)[17][3])pre_comp, g_pre_comp);
- } else
+ } else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
NULL, mixed, (const felem(*)[17][3])pre_comp, NULL);
+ }
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) ||
(!felem_to_BN(z, z_in))) {
- ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB);
+ ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
- ret = EC_POINT_set_Jprojective_coordinates_GFp(group, r, x, y, z, ctx);
+ ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
+ ctx);
err:
BN_CTX_end(ctx);
- if (generator != NULL)
- EC_POINT_free(generator);
- if (new_ctx != NULL)
- BN_CTX_free(new_ctx);
- if (secrets != NULL)
- OPENSSL_free(secrets);
- if (pre_comp != NULL)
- OPENSSL_free(pre_comp);
- if (tmp_felems != NULL)
- OPENSSL_free(tmp_felems);
+ EC_POINT_free(generator);
+ OPENSSL_free(secrets);
+ OPENSSL_free(pre_comp);
+ OPENSSL_free(tmp_felems);
return ret;
}
-int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+int ossl_ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
NISTP224_PRE_COMP *pre = NULL;
int i, j;
- BN_CTX *new_ctx = NULL;
BIGNUM *x, *y;
EC_POINT *generator = NULL;
felem tmp_felems[32];
+#ifndef FIPS_MODULE
+ BN_CTX *new_ctx = NULL;
+#endif
/* throw away old precomputation */
- EC_EX_DATA_free_data(&group->extra_data, nistp224_pre_comp_dup,
- nistp224_pre_comp_free,
- nistp224_pre_comp_clear_free);
+ EC_pre_comp_free(group);
+
+#ifndef FIPS_MODULE
if (ctx == NULL)
- if ((ctx = new_ctx = BN_CTX_new()) == NULL)
- return 0;
+ ctx = new_ctx = BN_CTX_new();
+#endif
+ if (ctx == NULL)
+ return 0;
+
BN_CTX_start(ctx);
- if (((x = BN_CTX_get(ctx)) == NULL) || ((y = BN_CTX_get(ctx)) == NULL))
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL)
goto err;
/* get the generator */
if (group->generator == NULL)
goto err;
BN_bin2bn(nistp224_curve_params[3], sizeof(felem_bytearray), x);
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(group, generator, x, y, ctx))
goto err;
if ((pre = nistp224_pre_comp_new()) == NULL)
goto err;
*/
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) {
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
- ret = 1;
- goto err;
+ goto done;
}
- if ((!BN_to_felem(pre->g_pre_comp[0][1][0], &group->generator->X)) ||
- (!BN_to_felem(pre->g_pre_comp[0][1][1], &group->generator->Y)) ||
- (!BN_to_felem(pre->g_pre_comp[0][1][2], &group->generator->Z)))
+ if ((!BN_to_felem(pre->g_pre_comp[0][1][0], group->generator->X)) ||
+ (!BN_to_felem(pre->g_pre_comp[0][1][1], group->generator->Y)) ||
+ (!BN_to_felem(pre->g_pre_comp[0][1][2], group->generator->Z)))
goto err;
/*
* compute 2^56*G, 2^112*G, 2^168*G for the first table, 2^28*G, 2^84*G,
}
make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_felems);
- if (!EC_EX_DATA_set_data(&group->extra_data, pre, nistp224_pre_comp_dup,
- nistp224_pre_comp_free,
- nistp224_pre_comp_clear_free))
- goto err;
- ret = 1;
+ done:
+ SETPRECOMP(group, nistp224, pre);
pre = NULL;
+ ret = 1;
err:
BN_CTX_end(ctx);
- if (generator != NULL)
- EC_POINT_free(generator);
- if (new_ctx != NULL)
- BN_CTX_free(new_ctx);
- if (pre)
- nistp224_pre_comp_free(pre);
+ EC_POINT_free(generator);
+#ifndef FIPS_MODULE
+ BN_CTX_free(new_ctx);
+#endif
+ EC_nistp224_pre_comp_free(pre);
return ret;
}
-int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
+int ossl_ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
{
- if (EC_EX_DATA_get_data(group->extra_data, nistp224_pre_comp_dup,
- nistp224_pre_comp_free,
- nistp224_pre_comp_clear_free)
- != NULL)
- return 1;
- else
- return 0;
+ return HAVEPRECOMP(group, nistp224);
}
-
-#else
-static void *dummy = &dummy;
-#endif