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nss/SOURCES/nss_p384_scalar_validated.p...

645 lines
23 KiB

diff -up ./automation/taskcluster/scripts/run_hacl.sh.p384 ./automation/taskcluster/scripts/run_hacl.sh
--- ./automation/taskcluster/scripts/run_hacl.sh.p384 2023-06-04 01:42:53.000000000 -0700
+++ ./automation/taskcluster/scripts/run_hacl.sh 2024-01-09 11:49:58.650418434 -0800
@@ -40,5 +40,14 @@ files=($(find ~/nss/lib/freebl/verified/
for f in "${files[@]}"; do
file_name=$(basename "$f")
hacl_file=($(find ~/hacl-star/dist/mozilla/ ~/hacl-star/dist/karamel/ -type f -name $file_name -not -path "*/hacl-star/dist/mozilla/internal/*"))
+ # TODO(Bug 1854438): Remove P384 exception.
+ # TODO(Bug 1854439): Remove P521 exception.
+ if [ $file_name == "Hacl_P384.c" \
+ -o $file_name == "Hacl_P384.h" \
+ -o $file_name == "Hacl_P521.c" \
+ -o $file_name == "Hacl_P521.h" ]
+ then
+ continue;
+ fi
diff $hacl_file $f
done
diff -up ./lib/freebl/ec.c.p384 ./lib/freebl/ec.c
--- ./lib/freebl/ec.c.p384 2024-01-09 11:49:14.118980084 -0800
+++ ./lib/freebl/ec.c 2024-01-09 11:49:58.651418444 -0800
@@ -15,15 +15,62 @@
#include "mplogic.h"
#include "ec.h"
#include "ecl.h"
+#include "verified/Hacl_P384.h"
+#include "verified/Hacl_P521.h"
#define EC_DOUBLECHECK PR_FALSE
+SECStatus
+ec_secp384r1_scalar_validate(const SECItem *scalar)
+{
+ if (!scalar || !scalar->data) {
+ PORT_SetError(SEC_ERROR_INVALID_ARGS);
+ return SECFailure;
+ }
+
+ if (scalar->len != 48) {
+ PORT_SetError(SEC_ERROR_BAD_KEY);
+ return SECFailure;
+ }
+
+ bool b = Hacl_P384_validate_private_key(scalar->data);
+
+ if (!b) {
+ PORT_SetError(SEC_ERROR_BAD_KEY);
+ return SECFailure;
+ }
+ return SECSuccess;
+}
+
+SECStatus
+ec_secp521r1_scalar_validate(const SECItem *scalar)
+{
+ if (!scalar || !scalar->data) {
+ PORT_SetError(SEC_ERROR_INVALID_ARGS);
+ return SECFailure;
+ }
+
+ if (scalar->len != 66) {
+ PORT_SetError(SEC_ERROR_BAD_KEY);
+ return SECFailure;
+ }
+
+ bool b = Hacl_P521_validate_private_key(scalar->data);
+
+ if (!b) {
+ PORT_SetError(SEC_ERROR_BAD_KEY);
+ return SECFailure;
+ }
+ return SECSuccess;
+}
+
static const ECMethod kMethods[] = {
{ ECCurve25519,
ec_Curve25519_pt_mul,
ec_Curve25519_pt_validate,
ec_Curve25519_scalar_validate,
- NULL, NULL },
+ NULL,
+ NULL },
{
ECCurve_NIST_P256,
ec_secp256r1_pt_mul,
@@ -352,8 +415,7 @@ EC_NewKeyFromSeed(ECParams *ecParams, EC
SECStatus
ec_GenerateRandomPrivateKey(ECParams *ecParams, SECItem *privKey)
{
- SECStatus rv = SECSuccess;
- mp_err err;
+ SECStatus rv = SECFailure;
unsigned int len = EC_GetScalarSize(ecParams);
@@ -362,82 +424,43 @@ ec_GenerateRandomPrivateKey(ECParams *ec
return SECFailure;
}
- /* For known curves, use rejection sampling A.4.2 */
- if (ecParams->fieldID.type == ec_field_plain) {
- const ECMethod *method = ec_get_method_from_name(ecParams->name);
- rv = SECFailure;
- if (method == NULL || method->scalar_validate == NULL) {
- /* unknown curve */
- PORT_SetError(SEC_ERROR_INVALID_ARGS);
- goto done;
- }
- int count = 100;
- while (rv != SECSuccess && count >= 0) {
- rv = RNG_GenerateGlobalRandomBytes(privKey->data, len);
- if (rv != SECSuccess) {
- PORT_SetError(SEC_ERROR_NEED_RANDOM);
- goto done;
- }
- rv = method->scalar_validate(privKey);
- count--;
- }
- if (rv != SECSuccess) {
- PORT_SetError(SEC_ERROR_BAD_KEY);
- }
- goto done;
+ const ECMethod *method = ec_get_method_from_name(ecParams->name);
+ if (method == NULL || method->scalar_validate == NULL) {
+ PORT_SetError(SEC_ERROR_UNSUPPORTED_ELLIPTIC_CURVE);
+ return SECFailure;
}
- /* For unknown curves, use algotithm A.4.1 */
-
- unsigned char *order = ecParams->order.data;
- mp_int privKeyVal, order_1, one;
- unsigned char *privKeyBytes = NULL;
-
- MP_DIGITS(&privKeyVal) = 0;
- MP_DIGITS(&order_1) = 0;
- MP_DIGITS(&one) = 0;
- CHECK_MPI_OK(mp_init(&privKeyVal));
- CHECK_MPI_OK(mp_init(&order_1));
- CHECK_MPI_OK(mp_init(&one));
-
- /* Generates 2*len random bytes using the global random bit generator
- * (which implements Algorithm 1 of FIPS 186-2 Change Notice 1) then
- * reduces modulo the group order.
- */
-
- if ((privKeyBytes = PORT_Alloc(2 * len)) == NULL) {
- PORT_SetError(SEC_ERROR_NO_MEMORY);
- rv = SECFailure;
- goto cleanup;
+ uint8_t leading_coeff_mask;
+ switch (ecParams->name) {
+ case ECCurve25519:
+ case ECCurve_NIST_P256:
+ case ECCurve_NIST_P384:
+ leading_coeff_mask = 0xff;
+ break;
+ case ECCurve_NIST_P521:
+ leading_coeff_mask = 0x01;
+ break;
+ default:
+ PORT_SetError(SEC_ERROR_UNSUPPORTED_ELLIPTIC_CURVE);
+ return SECFailure;
}
- CHECK_SEC_OK(RNG_GenerateGlobalRandomBytes(privKeyBytes, 2 * len));
- CHECK_MPI_OK(mp_read_unsigned_octets(&privKeyVal, privKeyBytes, 2 * len));
- CHECK_MPI_OK(mp_read_unsigned_octets(&order_1, order, len));
- CHECK_MPI_OK(mp_set_int(&one, 1));
- CHECK_MPI_OK(mp_sub(&order_1, &one, &order_1));
- CHECK_MPI_OK(mp_mod(&privKeyVal, &order_1, &privKeyVal));
- CHECK_MPI_OK(mp_add(&privKeyVal, &one, &privKeyVal));
- CHECK_MPI_OK(mp_to_fixlen_octets(&privKeyVal, privKeyBytes, len));
- memcpy(privKey->data, privKeyBytes, len);
+ /* The rejection sampling method from FIPS 186-5 A.4.2 */
+ int count = 100;
+ do {
+ rv = RNG_GenerateGlobalRandomBytes(privKey->data, len);
+ if (rv != SECSuccess) {
+ PORT_SetError(SEC_ERROR_NEED_RANDOM);
+ return SECFailure;
+ }
+ privKey->data[0] &= leading_coeff_mask;
+ rv = method->scalar_validate(privKey);
+ } while (rv != SECSuccess && --count > 0);
-cleanup:
- mp_clear(&privKeyVal);
- mp_clear(&order_1);
- mp_clear(&one);
- if (privKeyBytes) {
- PORT_ZFree(privKeyBytes, 2 * len);
- }
- if (err < MP_OKAY) {
- MP_TO_SEC_ERROR(err);
- rv = SECFailure;
+ if (rv != SECSuccess) { // implies count == 0
+ PORT_SetError(SEC_ERROR_BAD_KEY);
}
-done:
- if (rv != SECSuccess && privKey->data) {
- SECITEM_ZfreeItem(privKey, PR_FALSE);
- return rv;
- }
return rv;
}
diff -up ./lib/freebl/ecl/ecl.h.p384 ./lib/freebl/ecl/ecl.h
--- ./lib/freebl/ecl/ecl.h.p384 2024-01-09 11:49:14.118980084 -0800
+++ ./lib/freebl/ecl/ecl.h 2024-01-09 11:49:58.651418444 -0800
@@ -57,4 +57,8 @@ SECStatus ec_secp256r1_sign_digest(ECPri
SECStatus ec_secp256r1_verify_digest(ECPublicKey *key, const SECItem *signature,
const SECItem *digest);
+SECStatus ec_secp384r1_scalar_validate(const SECItem *scalar);
+
+SECStatus ec_secp521r1_scalar_validate(const SECItem *scalar);
+
#endif /* __ecl_h_ */
diff -up ./lib/freebl/freebl_base.gypi.p384 ./lib/freebl/freebl_base.gypi
--- ./lib/freebl/freebl_base.gypi.p384 2024-01-09 11:49:14.118980084 -0800
+++ ./lib/freebl/freebl_base.gypi 2024-01-09 11:49:58.651418444 -0800
@@ -38,6 +38,8 @@
'ecl/ecp_secp384r1.c',
'ecl/ecp_secp521r1.c',
'verified/Hacl_P256.c',
+ 'verified/Hacl_P384.c',
+ 'verified/Hacl_P521.c',
'fipsfreebl.c',
'blinit.c',
'freeblver.c',
diff -up ./lib/freebl/Makefile.p384 ./lib/freebl/Makefile
--- ./lib/freebl/Makefile.p384 2024-01-09 11:49:58.650418434 -0800
+++ ./lib/freebl/Makefile 2024-01-09 11:51:20.500224176 -0800
@@ -612,7 +612,7 @@ ifndef NSS_DISABLE_CHACHAPOLY
VERIFIED_SRCS += Hacl_Poly1305_32.c Hacl_Chacha20.c Hacl_Chacha20Poly1305_32.c
endif # NSS_DISABLE_CHACHAPOLY
-VERIFIED_SRCS += Hacl_P256.c
+VERIFIED_SRCS += Hacl_P256.c Hacl_P384.c Hacl_P521.c
ifeq (,$(filter-out x86_64 aarch64,$(CPU_ARCH)))
# All 64-bit architectures get the 64 bit version.
diff -up ./lib/freebl/verified/Hacl_P384.c.p384 ./lib/freebl/verified/Hacl_P384.c
--- ./lib/freebl/verified/Hacl_P384.c.p384 2024-01-09 11:49:58.651418444 -0800
+++ ./lib/freebl/verified/Hacl_P384.c 2024-01-09 11:49:58.651418444 -0800
@@ -0,0 +1,126 @@
+/* MIT License
+ *
+ * Copyright (c) 2016-2022 INRIA, CMU and Microsoft Corporation
+ * Copyright (c) 2022-2023 HACL* Contributors
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "Hacl_P384.h"
+
+#include "internal/Hacl_Krmllib.h"
+#include "internal/Hacl_Bignum_Base.h"
+
+static inline uint64_t
+bn_is_eq_mask(uint64_t *x, uint64_t *y)
+{
+ uint64_t mask = (uint64_t)0xFFFFFFFFFFFFFFFFU;
+ KRML_MAYBE_FOR6(i,
+ (uint32_t)0U,
+ (uint32_t)6U,
+ (uint32_t)1U,
+ uint64_t uu____0 = FStar_UInt64_eq_mask(x[i], y[i]);
+ mask = uu____0 & mask;);
+ uint64_t mask1 = mask;
+ return mask1;
+}
+
+static inline uint64_t
+bn_sub(uint64_t *a, uint64_t *b, uint64_t *c)
+{
+ uint64_t c1 = (uint64_t)0U;
+ {
+ uint64_t t1 = b[(uint32_t)4U * (uint32_t)0U];
+ uint64_t t20 = c[(uint32_t)4U * (uint32_t)0U];
+ uint64_t *res_i0 = a + (uint32_t)4U * (uint32_t)0U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t1, t20, res_i0);
+ uint64_t t10 = b[(uint32_t)4U * (uint32_t)0U + (uint32_t)1U];
+ uint64_t t21 = c[(uint32_t)4U * (uint32_t)0U + (uint32_t)1U];
+ uint64_t *res_i1 = a + (uint32_t)4U * (uint32_t)0U + (uint32_t)1U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t10, t21, res_i1);
+ uint64_t t11 = b[(uint32_t)4U * (uint32_t)0U + (uint32_t)2U];
+ uint64_t t22 = c[(uint32_t)4U * (uint32_t)0U + (uint32_t)2U];
+ uint64_t *res_i2 = a + (uint32_t)4U * (uint32_t)0U + (uint32_t)2U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t11, t22, res_i2);
+ uint64_t t12 = b[(uint32_t)4U * (uint32_t)0U + (uint32_t)3U];
+ uint64_t t2 = c[(uint32_t)4U * (uint32_t)0U + (uint32_t)3U];
+ uint64_t *res_i = a + (uint32_t)4U * (uint32_t)0U + (uint32_t)3U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t12, t2, res_i);
+ }
+ KRML_MAYBE_FOR2(i,
+ (uint32_t)4U,
+ (uint32_t)6U,
+ (uint32_t)1U,
+ uint64_t t1 = b[i];
+ uint64_t t2 = c[i];
+ uint64_t *res_i = a + i;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t1, t2, res_i););
+ uint64_t c10 = c1;
+ return c10;
+}
+
+static inline void
+bn_from_bytes_be(uint64_t *a, uint8_t *b)
+{
+ KRML_MAYBE_FOR6(i,
+ (uint32_t)0U,
+ (uint32_t)6U,
+ (uint32_t)1U,
+ uint64_t *os = a;
+ uint64_t u = load64_be(b + ((uint32_t)6U - i - (uint32_t)1U) * (uint32_t)8U);
+ uint64_t x = u;
+ os[i] = x;);
+}
+
+static inline void
+p384_make_order(uint64_t *n)
+{
+ n[0U] = (uint64_t)0xecec196accc52973U;
+ n[1U] = (uint64_t)0x581a0db248b0a77aU;
+ n[2U] = (uint64_t)0xc7634d81f4372ddfU;
+ n[3U] = (uint64_t)0xffffffffffffffffU;
+ n[4U] = (uint64_t)0xffffffffffffffffU;
+ n[5U] = (uint64_t)0xffffffffffffffffU;
+}
+
+/**
+Private key validation.
+
+ The function returns `true` if a private key is valid and `false` otherwise.
+
+ The argument `private_key` points to 48 bytes of valid memory, i.e., uint8_t[48].
+
+ The private key is valid:
+ • 0 < `private_key` < the order of the curve
+*/
+bool
+Hacl_P384_validate_private_key(uint8_t *private_key)
+{
+ uint64_t bn_sk[6U] = { 0U };
+ bn_from_bytes_be(bn_sk, private_key);
+ uint64_t tmp[6U] = { 0U };
+ p384_make_order(tmp);
+ uint64_t c = bn_sub(tmp, bn_sk, tmp);
+ uint64_t is_lt_order = (uint64_t)0U - c;
+ uint64_t bn_zero[6U] = { 0U };
+ uint64_t res = bn_is_eq_mask(bn_sk, bn_zero);
+ uint64_t is_eq_zero = res;
+ uint64_t res0 = is_lt_order & ~is_eq_zero;
+ return res0 == (uint64_t)0xFFFFFFFFFFFFFFFFU;
+}
diff -up ./lib/freebl/verified/Hacl_P384.h.p384 ./lib/freebl/verified/Hacl_P384.h
--- ./lib/freebl/verified/Hacl_P384.h.p384 2024-01-09 11:49:58.651418444 -0800
+++ ./lib/freebl/verified/Hacl_P384.h 2024-01-09 11:49:58.651418444 -0800
@@ -0,0 +1,68 @@
+/* MIT License
+ *
+ * Copyright (c) 2016-2022 INRIA, CMU and Microsoft Corporation
+ * Copyright (c) 2022-2023 HACL* Contributors
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#ifndef __Hacl_P384_H
+#define __Hacl_P384_H
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+#include <string.h>
+#include "krml/internal/types.h"
+#include "krml/lowstar_endianness.h"
+
+#include "lib_intrinsics.h"
+
+/*******************************************************************************
+
+ Verified C library for ECDSA and ECDH functions over the P-384 NIST curve.
+
+ This module implements signing and verification, key validation, conversions
+ between various point representations, and ECDH key agreement.
+
+*******************************************************************************/
+
+/******************/
+/* Key validation */
+/******************/
+
+/**
+Private key validation.
+
+ The function returns `true` if a private key is valid and `false` otherwise.
+
+ The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+
+ The private key is valid:
+ • 0 < `private_key` < the order of the curve
+*/
+bool Hacl_P384_validate_private_key(uint8_t *private_key);
+
+#if defined(__cplusplus)
+}
+#endif
+
+#define __Hacl_P384_H_DEFINED
+#endif
diff -up ./lib/freebl/verified/Hacl_P521.c.p384 ./lib/freebl/verified/Hacl_P521.c
--- ./lib/freebl/verified/Hacl_P521.c.p384 2024-01-09 11:49:58.651418444 -0800
+++ ./lib/freebl/verified/Hacl_P521.c 2024-01-09 11:49:58.651418444 -0800
@@ -0,0 +1,131 @@
+/* MIT License
+ *
+ * Copyright (c) 2016-2022 INRIA, CMU and Microsoft Corporation
+ * Copyright (c) 2022-2023 HACL* Contributors
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "Hacl_P521.h"
+
+#include "internal/Hacl_Krmllib.h"
+#include "internal/Hacl_Bignum_Base.h"
+
+static inline uint64_t
+bn_is_eq_mask(uint64_t *x, uint64_t *y)
+{
+ uint64_t mask = (uint64_t)0xFFFFFFFFFFFFFFFFU;
+ KRML_MAYBE_FOR9(i,
+ (uint32_t)0U,
+ (uint32_t)9U,
+ (uint32_t)1U,
+ uint64_t uu____0 = FStar_UInt64_eq_mask(x[i], y[i]);
+ mask = uu____0 & mask;);
+ uint64_t mask1 = mask;
+ return mask1;
+}
+
+static inline uint64_t
+bn_sub(uint64_t *a, uint64_t *b, uint64_t *c)
+{
+ uint64_t c1 = (uint64_t)0U;
+ KRML_MAYBE_FOR2(i,
+ (uint32_t)0U,
+ (uint32_t)2U,
+ (uint32_t)1U,
+ uint64_t t1 = b[(uint32_t)4U * i];
+ uint64_t t20 = c[(uint32_t)4U * i];
+ uint64_t *res_i0 = a + (uint32_t)4U * i;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t1, t20, res_i0);
+ uint64_t t10 = b[(uint32_t)4U * i + (uint32_t)1U];
+ uint64_t t21 = c[(uint32_t)4U * i + (uint32_t)1U];
+ uint64_t *res_i1 = a + (uint32_t)4U * i + (uint32_t)1U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t10, t21, res_i1);
+ uint64_t t11 = b[(uint32_t)4U * i + (uint32_t)2U];
+ uint64_t t22 = c[(uint32_t)4U * i + (uint32_t)2U];
+ uint64_t *res_i2 = a + (uint32_t)4U * i + (uint32_t)2U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t11, t22, res_i2);
+ uint64_t t12 = b[(uint32_t)4U * i + (uint32_t)3U];
+ uint64_t t2 = c[(uint32_t)4U * i + (uint32_t)3U];
+ uint64_t *res_i = a + (uint32_t)4U * i + (uint32_t)3U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t12, t2, res_i););
+ {
+ uint64_t t1 = b[8U];
+ uint64_t t2 = c[8U];
+ uint64_t *res_i = a + (uint32_t)8U;
+ c1 = Lib_IntTypes_Intrinsics_sub_borrow_u64(c1, t1, t2, res_i);
+ }
+ uint64_t c10 = c1;
+ return c10;
+}
+
+static inline void
+bn_from_bytes_be(uint64_t *a, uint8_t *b)
+{
+ uint8_t tmp[72U] = { 0U };
+ memcpy(tmp + (uint32_t)6U, b, (uint32_t)66U * sizeof(uint8_t));
+ KRML_MAYBE_FOR9(i,
+ (uint32_t)0U,
+ (uint32_t)9U,
+ (uint32_t)1U,
+ uint64_t *os = a;
+ uint64_t u = load64_be(tmp + ((uint32_t)9U - i - (uint32_t)1U) * (uint32_t)8U);
+ uint64_t x = u;
+ os[i] = x;);
+}
+
+static inline void
+p521_make_order(uint64_t *n)
+{
+ n[0U] = (uint64_t)0xbb6fb71e91386409U;
+ n[1U] = (uint64_t)0x3bb5c9b8899c47aeU;
+ n[2U] = (uint64_t)0x7fcc0148f709a5d0U;
+ n[3U] = (uint64_t)0x51868783bf2f966bU;
+ n[4U] = (uint64_t)0xfffffffffffffffaU;
+ n[5U] = (uint64_t)0xffffffffffffffffU;
+ n[6U] = (uint64_t)0xffffffffffffffffU;
+ n[7U] = (uint64_t)0xffffffffffffffffU;
+ n[8U] = (uint64_t)0x1ffU;
+}
+
+/**
+Private key validation.
+
+ The function returns `true` if a private key is valid and `false` otherwise.
+
+ The argument `private_key` points to 66 bytes of valid memory, i.e., uint8_t[66].
+
+ The private key is valid:
+ • 0 < `private_key` < the order of the curve
+*/
+bool
+Hacl_P521_validate_private_key(uint8_t *private_key)
+{
+ uint64_t bn_sk[9U] = { 0U };
+ bn_from_bytes_be(bn_sk, private_key);
+ uint64_t tmp[9U] = { 0U };
+ p521_make_order(tmp);
+ uint64_t c = bn_sub(tmp, bn_sk, tmp);
+ uint64_t is_lt_order = (uint64_t)0U - c;
+ uint64_t bn_zero[9U] = { 0U };
+ uint64_t res = bn_is_eq_mask(bn_sk, bn_zero);
+ uint64_t is_eq_zero = res;
+ uint64_t res0 = is_lt_order & ~is_eq_zero;
+ return res0 == (uint64_t)0xFFFFFFFFFFFFFFFFU;
+}
diff -up ./lib/freebl/verified/Hacl_P521.h.p384 ./lib/freebl/verified/Hacl_P521.h
--- ./lib/freebl/verified/Hacl_P521.h.p384 2024-01-09 11:49:58.651418444 -0800
+++ ./lib/freebl/verified/Hacl_P521.h 2024-01-09 11:49:58.651418444 -0800
@@ -0,0 +1,59 @@
+/* MIT License
+ *
+ * Copyright (c) 2016-2022 INRIA, CMU and Microsoft Corporation
+ * Copyright (c) 2022-2023 HACL* Contributors
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#ifndef __Hacl_P521_H
+#define __Hacl_P521_H
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+#include <string.h>
+#include "krml/internal/types.h"
+#include "krml/lowstar_endianness.h"
+
+#include "lib_intrinsics.h"
+
+/******************/
+/* Key validation */
+/******************/
+
+/**
+Private key validation.
+
+ The function returns `true` if a private key is valid and `false` otherwise.
+
+ The argument `private_key` points to 66 bytes of valid memory, i.e., uint8_t[66].
+
+ The private key is valid:
+ • 0 < `private_key` < the order of the curve
+*/
+bool Hacl_P521_validate_private_key(uint8_t *private_key);
+
+#if defined(__cplusplus)
+}
+#endif
+
+#define __Hacl_P521_H_DEFINED
+#endif