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/* 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;
}