Source code
Revision control
Copy as Markdown
Other Tools
/* 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 "internal/Hacl_Ed25519.h"
#include "internal/Hacl_Krmllib.h"
#include "internal/Hacl_Ed25519_PrecompTable.h"
#include "internal/Hacl_Curve25519_51.h"
#include "internal/Hacl_Bignum_Base.h"
#include "internal/Hacl_Bignum25519_51.h"
#include "../Hacl_Hash_SHA2_shim.h"
static inline void
fsum(uint64_t *out, uint64_t *a, uint64_t *b)
{
Hacl_Impl_Curve25519_Field51_fadd(out, a, b);
}
static inline void
fdifference(uint64_t *out, uint64_t *a, uint64_t *b)
{
Hacl_Impl_Curve25519_Field51_fsub(out, a, b);
}
void
Hacl_Bignum25519_reduce_513(uint64_t *a)
{
uint64_t f0 = a[0U];
uint64_t f1 = a[1U];
uint64_t f2 = a[2U];
uint64_t f3 = a[3U];
uint64_t f4 = a[4U];
uint64_t l_ = f0 + (uint64_t)0U;
uint64_t tmp0 = l_ & (uint64_t)0x7ffffffffffffU;
uint64_t c0 = l_ >> (uint32_t)51U;
uint64_t l_0 = f1 + c0;
uint64_t tmp1 = l_0 & (uint64_t)0x7ffffffffffffU;
uint64_t c1 = l_0 >> (uint32_t)51U;
uint64_t l_1 = f2 + c1;
uint64_t tmp2 = l_1 & (uint64_t)0x7ffffffffffffU;
uint64_t c2 = l_1 >> (uint32_t)51U;
uint64_t l_2 = f3 + c2;
uint64_t tmp3 = l_2 & (uint64_t)0x7ffffffffffffU;
uint64_t c3 = l_2 >> (uint32_t)51U;
uint64_t l_3 = f4 + c3;
uint64_t tmp4 = l_3 & (uint64_t)0x7ffffffffffffU;
uint64_t c4 = l_3 >> (uint32_t)51U;
uint64_t l_4 = tmp0 + c4 * (uint64_t)19U;
uint64_t tmp0_ = l_4 & (uint64_t)0x7ffffffffffffU;
uint64_t c5 = l_4 >> (uint32_t)51U;
a[0U] = tmp0_;
a[1U] = tmp1 + c5;
a[2U] = tmp2;
a[3U] = tmp3;
a[4U] = tmp4;
}
static inline void
fmul0(uint64_t *output, uint64_t *input, uint64_t *input2)
{
FStar_UInt128_uint128 tmp[10U];
for (uint32_t _i = 0U; _i < (uint32_t)10U; ++_i)
tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Impl_Curve25519_Field51_fmul(output, input, input2, tmp);
}
static inline void
times_2(uint64_t *out, uint64_t *a)
{
uint64_t a0 = a[0U];
uint64_t a1 = a[1U];
uint64_t a2 = a[2U];
uint64_t a3 = a[3U];
uint64_t a4 = a[4U];
uint64_t o0 = (uint64_t)2U * a0;
uint64_t o1 = (uint64_t)2U * a1;
uint64_t o2 = (uint64_t)2U * a2;
uint64_t o3 = (uint64_t)2U * a3;
uint64_t o4 = (uint64_t)2U * a4;
out[0U] = o0;
out[1U] = o1;
out[2U] = o2;
out[3U] = o3;
out[4U] = o4;
}
static inline void
times_d(uint64_t *out, uint64_t *a)
{
uint64_t d[5U] = { 0U };
d[0U] = (uint64_t)0x00034dca135978a3U;
d[1U] = (uint64_t)0x0001a8283b156ebdU;
d[2U] = (uint64_t)0x0005e7a26001c029U;
d[3U] = (uint64_t)0x000739c663a03cbbU;
d[4U] = (uint64_t)0x00052036cee2b6ffU;
fmul0(out, d, a);
}
static inline void
times_2d(uint64_t *out, uint64_t *a)
{
uint64_t d2[5U] = { 0U };
d2[0U] = (uint64_t)0x00069b9426b2f159U;
d2[1U] = (uint64_t)0x00035050762add7aU;
d2[2U] = (uint64_t)0x0003cf44c0038052U;
d2[3U] = (uint64_t)0x0006738cc7407977U;
d2[4U] = (uint64_t)0x0002406d9dc56dffU;
fmul0(out, d2, a);
}
static inline void
fsquare(uint64_t *out, uint64_t *a)
{
FStar_UInt128_uint128 tmp[5U];
for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Impl_Curve25519_Field51_fsqr(out, a, tmp);
}
static inline void
fsquare_times(uint64_t *output, uint64_t *input, uint32_t count)
{
FStar_UInt128_uint128 tmp[5U];
for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Curve25519_51_fsquare_times(output, input, tmp, count);
}
static inline void
fsquare_times_inplace(uint64_t *output, uint32_t count)
{
FStar_UInt128_uint128 tmp[5U];
for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Curve25519_51_fsquare_times(output, output, tmp, count);
}
void
Hacl_Bignum25519_inverse(uint64_t *out, uint64_t *a)
{
FStar_UInt128_uint128 tmp[10U];
for (uint32_t _i = 0U; _i < (uint32_t)10U; ++_i)
tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Curve25519_51_finv(out, a, tmp);
}
static inline void
reduce(uint64_t *out)
{
uint64_t o0 = out[0U];
uint64_t o1 = out[1U];
uint64_t o2 = out[2U];
uint64_t o3 = out[3U];
uint64_t o4 = out[4U];
uint64_t l_ = o0 + (uint64_t)0U;
uint64_t tmp0 = l_ & (uint64_t)0x7ffffffffffffU;
uint64_t c0 = l_ >> (uint32_t)51U;
uint64_t l_0 = o1 + c0;
uint64_t tmp1 = l_0 & (uint64_t)0x7ffffffffffffU;
uint64_t c1 = l_0 >> (uint32_t)51U;
uint64_t l_1 = o2 + c1;
uint64_t tmp2 = l_1 & (uint64_t)0x7ffffffffffffU;
uint64_t c2 = l_1 >> (uint32_t)51U;
uint64_t l_2 = o3 + c2;
uint64_t tmp3 = l_2 & (uint64_t)0x7ffffffffffffU;
uint64_t c3 = l_2 >> (uint32_t)51U;
uint64_t l_3 = o4 + c3;
uint64_t tmp4 = l_3 & (uint64_t)0x7ffffffffffffU;
uint64_t c4 = l_3 >> (uint32_t)51U;
uint64_t l_4 = tmp0 + c4 * (uint64_t)19U;
uint64_t tmp0_ = l_4 & (uint64_t)0x7ffffffffffffU;
uint64_t c5 = l_4 >> (uint32_t)51U;
uint64_t f0 = tmp0_;
uint64_t f1 = tmp1 + c5;
uint64_t f2 = tmp2;
uint64_t f3 = tmp3;
uint64_t f4 = tmp4;
uint64_t m0 = FStar_UInt64_gte_mask(f0, (uint64_t)0x7ffffffffffedU);
uint64_t m1 = FStar_UInt64_eq_mask(f1, (uint64_t)0x7ffffffffffffU);
uint64_t m2 = FStar_UInt64_eq_mask(f2, (uint64_t)0x7ffffffffffffU);
uint64_t m3 = FStar_UInt64_eq_mask(f3, (uint64_t)0x7ffffffffffffU);
uint64_t m4 = FStar_UInt64_eq_mask(f4, (uint64_t)0x7ffffffffffffU);
uint64_t mask = (((m0 & m1) & m2) & m3) & m4;
uint64_t f0_ = f0 - (mask & (uint64_t)0x7ffffffffffedU);
uint64_t f1_ = f1 - (mask & (uint64_t)0x7ffffffffffffU);
uint64_t f2_ = f2 - (mask & (uint64_t)0x7ffffffffffffU);
uint64_t f3_ = f3 - (mask & (uint64_t)0x7ffffffffffffU);
uint64_t f4_ = f4 - (mask & (uint64_t)0x7ffffffffffffU);
uint64_t f01 = f0_;
uint64_t f11 = f1_;
uint64_t f21 = f2_;
uint64_t f31 = f3_;
uint64_t f41 = f4_;
out[0U] = f01;
out[1U] = f11;
out[2U] = f21;
out[3U] = f31;
out[4U] = f41;
}
void
Hacl_Bignum25519_load_51(uint64_t *output, uint8_t *input)
{
uint64_t u64s[4U] = { 0U };
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = u64s;
uint8_t *bj = input + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
uint64_t u64s3 = u64s[3U];
u64s[3U] = u64s3 & (uint64_t)0x7fffffffffffffffU;
output[0U] = u64s[0U] & (uint64_t)0x7ffffffffffffU;
output[1U] = u64s[0U] >> (uint32_t)51U | (u64s[1U] & (uint64_t)0x3fffffffffU) << (uint32_t)13U;
output[2U] = u64s[1U] >> (uint32_t)38U | (u64s[2U] & (uint64_t)0x1ffffffU) << (uint32_t)26U;
output[3U] = u64s[2U] >> (uint32_t)25U | (u64s[3U] & (uint64_t)0xfffU) << (uint32_t)39U;
output[4U] = u64s[3U] >> (uint32_t)12U;
}
void
Hacl_Bignum25519_store_51(uint8_t *output, uint64_t *input)
{
uint64_t u64s[4U] = { 0U };
Hacl_Impl_Curve25519_Field51_store_felem(u64s, input);
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
store64_le(output + i * (uint32_t)8U, u64s[i]););
}
void
Hacl_Impl_Ed25519_PointDouble_point_double(uint64_t *out, uint64_t *p)
{
uint64_t tmp[20U] = { 0U };
uint64_t *tmp1 = tmp;
uint64_t *tmp20 = tmp + (uint32_t)5U;
uint64_t *tmp30 = tmp + (uint32_t)10U;
uint64_t *tmp40 = tmp + (uint32_t)15U;
uint64_t *x10 = p;
uint64_t *y10 = p + (uint32_t)5U;
uint64_t *z1 = p + (uint32_t)10U;
fsquare(tmp1, x10);
fsquare(tmp20, y10);
fsum(tmp30, tmp1, tmp20);
fdifference(tmp40, tmp1, tmp20);
fsquare(tmp1, z1);
times_2(tmp1, tmp1);
uint64_t *tmp10 = tmp;
uint64_t *tmp2 = tmp + (uint32_t)5U;
uint64_t *tmp3 = tmp + (uint32_t)10U;
uint64_t *tmp4 = tmp + (uint32_t)15U;
uint64_t *x1 = p;
uint64_t *y1 = p + (uint32_t)5U;
fsum(tmp2, x1, y1);
fsquare(tmp2, tmp2);
Hacl_Bignum25519_reduce_513(tmp3);
fdifference(tmp2, tmp3, tmp2);
Hacl_Bignum25519_reduce_513(tmp10);
Hacl_Bignum25519_reduce_513(tmp4);
fsum(tmp10, tmp10, tmp4);
uint64_t *tmp_f = tmp;
uint64_t *tmp_e = tmp + (uint32_t)5U;
uint64_t *tmp_h = tmp + (uint32_t)10U;
uint64_t *tmp_g = tmp + (uint32_t)15U;
uint64_t *x3 = out;
uint64_t *y3 = out + (uint32_t)5U;
uint64_t *z3 = out + (uint32_t)10U;
uint64_t *t3 = out + (uint32_t)15U;
fmul0(x3, tmp_e, tmp_f);
fmul0(y3, tmp_g, tmp_h);
fmul0(t3, tmp_e, tmp_h);
fmul0(z3, tmp_f, tmp_g);
}
void
Hacl_Impl_Ed25519_PointAdd_point_add(uint64_t *out, uint64_t *p, uint64_t *q)
{
uint64_t tmp[30U] = { 0U };
uint64_t *tmp1 = tmp;
uint64_t *tmp20 = tmp + (uint32_t)5U;
uint64_t *tmp30 = tmp + (uint32_t)10U;
uint64_t *tmp40 = tmp + (uint32_t)15U;
uint64_t *x1 = p;
uint64_t *y1 = p + (uint32_t)5U;
uint64_t *x2 = q;
uint64_t *y2 = q + (uint32_t)5U;
fdifference(tmp1, y1, x1);
fdifference(tmp20, y2, x2);
fmul0(tmp30, tmp1, tmp20);
fsum(tmp1, y1, x1);
fsum(tmp20, y2, x2);
fmul0(tmp40, tmp1, tmp20);
uint64_t *tmp10 = tmp;
uint64_t *tmp2 = tmp + (uint32_t)5U;
uint64_t *tmp3 = tmp + (uint32_t)10U;
uint64_t *tmp4 = tmp + (uint32_t)15U;
uint64_t *tmp5 = tmp + (uint32_t)20U;
uint64_t *tmp6 = tmp + (uint32_t)25U;
uint64_t *z1 = p + (uint32_t)10U;
uint64_t *t1 = p + (uint32_t)15U;
uint64_t *z2 = q + (uint32_t)10U;
uint64_t *t2 = q + (uint32_t)15U;
times_2d(tmp10, t1);
fmul0(tmp10, tmp10, t2);
times_2(tmp2, z1);
fmul0(tmp2, tmp2, z2);
fdifference(tmp5, tmp4, tmp3);
fdifference(tmp6, tmp2, tmp10);
fsum(tmp10, tmp2, tmp10);
fsum(tmp2, tmp4, tmp3);
uint64_t *tmp_g = tmp;
uint64_t *tmp_h = tmp + (uint32_t)5U;
uint64_t *tmp_e = tmp + (uint32_t)20U;
uint64_t *tmp_f = tmp + (uint32_t)25U;
uint64_t *x3 = out;
uint64_t *y3 = out + (uint32_t)5U;
uint64_t *z3 = out + (uint32_t)10U;
uint64_t *t3 = out + (uint32_t)15U;
fmul0(x3, tmp_e, tmp_f);
fmul0(y3, tmp_g, tmp_h);
fmul0(t3, tmp_e, tmp_h);
fmul0(z3, tmp_f, tmp_g);
}
void
Hacl_Impl_Ed25519_PointConstants_make_point_inf(uint64_t *b)
{
uint64_t *x = b;
uint64_t *y = b + (uint32_t)5U;
uint64_t *z = b + (uint32_t)10U;
uint64_t *t = b + (uint32_t)15U;
x[0U] = (uint64_t)0U;
x[1U] = (uint64_t)0U;
x[2U] = (uint64_t)0U;
x[3U] = (uint64_t)0U;
x[4U] = (uint64_t)0U;
y[0U] = (uint64_t)1U;
y[1U] = (uint64_t)0U;
y[2U] = (uint64_t)0U;
y[3U] = (uint64_t)0U;
y[4U] = (uint64_t)0U;
z[0U] = (uint64_t)1U;
z[1U] = (uint64_t)0U;
z[2U] = (uint64_t)0U;
z[3U] = (uint64_t)0U;
z[4U] = (uint64_t)0U;
t[0U] = (uint64_t)0U;
t[1U] = (uint64_t)0U;
t[2U] = (uint64_t)0U;
t[3U] = (uint64_t)0U;
t[4U] = (uint64_t)0U;
}
static inline void
pow2_252m2(uint64_t *out, uint64_t *z)
{
uint64_t buf[20U] = { 0U };
uint64_t *a = buf;
uint64_t *t00 = buf + (uint32_t)5U;
uint64_t *b0 = buf + (uint32_t)10U;
uint64_t *c0 = buf + (uint32_t)15U;
fsquare_times(a, z, (uint32_t)1U);
fsquare_times(t00, a, (uint32_t)2U);
fmul0(b0, t00, z);
fmul0(a, b0, a);
fsquare_times(t00, a, (uint32_t)1U);
fmul0(b0, t00, b0);
fsquare_times(t00, b0, (uint32_t)5U);
fmul0(b0, t00, b0);
fsquare_times(t00, b0, (uint32_t)10U);
fmul0(c0, t00, b0);
fsquare_times(t00, c0, (uint32_t)20U);
fmul0(t00, t00, c0);
fsquare_times_inplace(t00, (uint32_t)10U);
fmul0(b0, t00, b0);
fsquare_times(t00, b0, (uint32_t)50U);
uint64_t *a0 = buf;
uint64_t *t0 = buf + (uint32_t)5U;
uint64_t *b = buf + (uint32_t)10U;
uint64_t *c = buf + (uint32_t)15U;
fsquare_times(a0, z, (uint32_t)1U);
fmul0(c, t0, b);
fsquare_times(t0, c, (uint32_t)100U);
fmul0(t0, t0, c);
fsquare_times_inplace(t0, (uint32_t)50U);
fmul0(t0, t0, b);
fsquare_times_inplace(t0, (uint32_t)2U);
fmul0(out, t0, a0);
}
static inline bool
is_0(uint64_t *x)
{
uint64_t x0 = x[0U];
uint64_t x1 = x[1U];
uint64_t x2 = x[2U];
uint64_t x3 = x[3U];
uint64_t x4 = x[4U];
return x0 == (uint64_t)0U && x1 == (uint64_t)0U && x2 == (uint64_t)0U && x3 == (uint64_t)0U && x4 == (uint64_t)0U;
}
static inline void
mul_modp_sqrt_m1(uint64_t *x)
{
uint64_t sqrt_m1[5U] = { 0U };
sqrt_m1[0U] = (uint64_t)0x00061b274a0ea0b0U;
sqrt_m1[1U] = (uint64_t)0x0000d5a5fc8f189dU;
sqrt_m1[2U] = (uint64_t)0x0007ef5e9cbd0c60U;
sqrt_m1[3U] = (uint64_t)0x00078595a6804c9eU;
sqrt_m1[4U] = (uint64_t)0x0002b8324804fc1dU;
fmul0(x, x, sqrt_m1);
}
static inline bool
recover_x(uint64_t *x, uint64_t *y, uint64_t sign)
{
uint64_t tmp[15U] = { 0U };
uint64_t *x2 = tmp;
uint64_t x00 = y[0U];
uint64_t x1 = y[1U];
uint64_t x21 = y[2U];
uint64_t x30 = y[3U];
uint64_t x4 = y[4U];
bool
b =
x00 >= (uint64_t)0x7ffffffffffedU && x1 == (uint64_t)0x7ffffffffffffU && x21 == (uint64_t)0x7ffffffffffffU && x30 == (uint64_t)0x7ffffffffffffU && x4 == (uint64_t)0x7ffffffffffffU;
bool res;
if (b) {
res = false;
} else {
uint64_t tmp1[20U] = { 0U };
uint64_t *one = tmp1;
uint64_t *y2 = tmp1 + (uint32_t)5U;
uint64_t *dyyi = tmp1 + (uint32_t)10U;
uint64_t *dyy = tmp1 + (uint32_t)15U;
one[0U] = (uint64_t)1U;
one[1U] = (uint64_t)0U;
one[2U] = (uint64_t)0U;
one[3U] = (uint64_t)0U;
one[4U] = (uint64_t)0U;
fsquare(y2, y);
times_d(dyy, y2);
fsum(dyy, dyy, one);
Hacl_Bignum25519_reduce_513(dyy);
Hacl_Bignum25519_inverse(dyyi, dyy);
fdifference(x2, y2, one);
fmul0(x2, x2, dyyi);
reduce(x2);
bool x2_is_0 = is_0(x2);
uint8_t z;
if (x2_is_0) {
if (sign == (uint64_t)0U) {
x[0U] = (uint64_t)0U;
x[1U] = (uint64_t)0U;
x[2U] = (uint64_t)0U;
x[3U] = (uint64_t)0U;
x[4U] = (uint64_t)0U;
z = (uint8_t)1U;
} else {
z = (uint8_t)0U;
}
} else {
z = (uint8_t)2U;
}
if (z == (uint8_t)0U) {
res = false;
} else if (z == (uint8_t)1U) {
res = true;
} else {
uint64_t *x210 = tmp;
uint64_t *x31 = tmp + (uint32_t)5U;
uint64_t *t00 = tmp + (uint32_t)10U;
pow2_252m2(x31, x210);
fsquare(t00, x31);
fdifference(t00, t00, x210);
Hacl_Bignum25519_reduce_513(t00);
reduce(t00);
bool t0_is_0 = is_0(t00);
if (!t0_is_0) {
mul_modp_sqrt_m1(x31);
}
uint64_t *x211 = tmp;
uint64_t *x3 = tmp + (uint32_t)5U;
uint64_t *t01 = tmp + (uint32_t)10U;
fsquare(t01, x3);
fdifference(t01, t01, x211);
Hacl_Bignum25519_reduce_513(t01);
reduce(t01);
bool z1 = is_0(t01);
if (z1 == false) {
res = false;
} else {
uint64_t *x32 = tmp + (uint32_t)5U;
uint64_t *t0 = tmp + (uint32_t)10U;
reduce(x32);
uint64_t x0 = x32[0U];
uint64_t x01 = x0 & (uint64_t)1U;
if (!(x01 == sign)) {
t0[0U] = (uint64_t)0U;
t0[1U] = (uint64_t)0U;
t0[2U] = (uint64_t)0U;
t0[3U] = (uint64_t)0U;
t0[4U] = (uint64_t)0U;
fdifference(x32, t0, x32);
Hacl_Bignum25519_reduce_513(x32);
reduce(x32);
}
memcpy(x, x32, (uint32_t)5U * sizeof(uint64_t));
res = true;
}
}
}
bool res0 = res;
return res0;
}
bool
Hacl_Impl_Ed25519_PointDecompress_point_decompress(uint64_t *out, uint8_t *s)
{
uint64_t tmp[10U] = { 0U };
uint64_t *y = tmp;
uint64_t *x = tmp + (uint32_t)5U;
uint8_t s31 = s[31U];
uint8_t z = s31 >> (uint32_t)7U;
uint64_t sign = (uint64_t)z;
Hacl_Bignum25519_load_51(y, s);
bool z0 = recover_x(x, y, sign);
bool res;
if (z0 == false) {
res = false;
} else {
uint64_t *outx = out;
uint64_t *outy = out + (uint32_t)5U;
uint64_t *outz = out + (uint32_t)10U;
uint64_t *outt = out + (uint32_t)15U;
memcpy(outx, x, (uint32_t)5U * sizeof(uint64_t));
memcpy(outy, y, (uint32_t)5U * sizeof(uint64_t));
outz[0U] = (uint64_t)1U;
outz[1U] = (uint64_t)0U;
outz[2U] = (uint64_t)0U;
outz[3U] = (uint64_t)0U;
outz[4U] = (uint64_t)0U;
fmul0(outt, x, y);
res = true;
}
bool res0 = res;
return res0;
}
void
Hacl_Impl_Ed25519_PointCompress_point_compress(uint8_t *z, uint64_t *p)
{
uint64_t tmp[15U] = { 0U };
uint64_t *x = tmp + (uint32_t)5U;
uint64_t *out = tmp + (uint32_t)10U;
uint64_t *zinv1 = tmp;
uint64_t *x1 = tmp + (uint32_t)5U;
uint64_t *out1 = tmp + (uint32_t)10U;
uint64_t *px = p;
uint64_t *py = p + (uint32_t)5U;
uint64_t *pz = p + (uint32_t)10U;
Hacl_Bignum25519_inverse(zinv1, pz);
fmul0(x1, px, zinv1);
reduce(x1);
fmul0(out1, py, zinv1);
Hacl_Bignum25519_reduce_513(out1);
uint64_t x0 = x[0U];
uint64_t b = x0 & (uint64_t)1U;
Hacl_Bignum25519_store_51(z, out);
uint8_t xbyte = (uint8_t)b;
uint8_t o31 = z[31U];
z[31U] = o31 + (xbyte << (uint32_t)7U);
}
static inline void
barrett_reduction(uint64_t *z, uint64_t *t)
{
uint64_t t0 = t[0U];
uint64_t t1 = t[1U];
uint64_t t2 = t[2U];
uint64_t t3 = t[3U];
uint64_t t4 = t[4U];
uint64_t t5 = t[5U];
uint64_t t6 = t[6U];
uint64_t t7 = t[7U];
uint64_t t8 = t[8U];
uint64_t t9 = t[9U];
uint64_t m00 = (uint64_t)0x12631a5cf5d3edU;
uint64_t m10 = (uint64_t)0xf9dea2f79cd658U;
uint64_t m20 = (uint64_t)0x000000000014deU;
uint64_t m30 = (uint64_t)0x00000000000000U;
uint64_t m40 = (uint64_t)0x00000010000000U;
uint64_t m0 = m00;
uint64_t m1 = m10;
uint64_t m2 = m20;
uint64_t m3 = m30;
uint64_t m4 = m40;
uint64_t m010 = (uint64_t)0x9ce5a30a2c131bU;
uint64_t m110 = (uint64_t)0x215d086329a7edU;
uint64_t m210 = (uint64_t)0xffffffffeb2106U;
uint64_t m310 = (uint64_t)0xffffffffffffffU;
uint64_t m410 = (uint64_t)0x00000fffffffffU;
uint64_t mu0 = m010;
uint64_t mu1 = m110;
uint64_t mu2 = m210;
uint64_t mu3 = m310;
uint64_t mu4 = m410;
uint64_t y_ = (t5 & (uint64_t)0xffffffU) << (uint32_t)32U;
uint64_t x_ = t4 >> (uint32_t)24U;
uint64_t z00 = x_ | y_;
uint64_t y_0 = (t6 & (uint64_t)0xffffffU) << (uint32_t)32U;
uint64_t x_0 = t5 >> (uint32_t)24U;
uint64_t z10 = x_0 | y_0;
uint64_t y_1 = (t7 & (uint64_t)0xffffffU) << (uint32_t)32U;
uint64_t x_1 = t6 >> (uint32_t)24U;
uint64_t z20 = x_1 | y_1;
uint64_t y_2 = (t8 & (uint64_t)0xffffffU) << (uint32_t)32U;
uint64_t x_2 = t7 >> (uint32_t)24U;
uint64_t z30 = x_2 | y_2;
uint64_t y_3 = (t9 & (uint64_t)0xffffffU) << (uint32_t)32U;
uint64_t x_3 = t8 >> (uint32_t)24U;
uint64_t z40 = x_3 | y_3;
uint64_t q0 = z00;
uint64_t q1 = z10;
uint64_t q2 = z20;
uint64_t q3 = z30;
uint64_t q4 = z40;
FStar_UInt128_uint128 xy000 = FStar_UInt128_mul_wide(q0, mu0);
FStar_UInt128_uint128 xy010 = FStar_UInt128_mul_wide(q0, mu1);
FStar_UInt128_uint128 xy020 = FStar_UInt128_mul_wide(q0, mu2);
FStar_UInt128_uint128 xy030 = FStar_UInt128_mul_wide(q0, mu3);
FStar_UInt128_uint128 xy040 = FStar_UInt128_mul_wide(q0, mu4);
FStar_UInt128_uint128 xy100 = FStar_UInt128_mul_wide(q1, mu0);
FStar_UInt128_uint128 xy110 = FStar_UInt128_mul_wide(q1, mu1);
FStar_UInt128_uint128 xy120 = FStar_UInt128_mul_wide(q1, mu2);
FStar_UInt128_uint128 xy130 = FStar_UInt128_mul_wide(q1, mu3);
FStar_UInt128_uint128 xy14 = FStar_UInt128_mul_wide(q1, mu4);
FStar_UInt128_uint128 xy200 = FStar_UInt128_mul_wide(q2, mu0);
FStar_UInt128_uint128 xy210 = FStar_UInt128_mul_wide(q2, mu1);
FStar_UInt128_uint128 xy220 = FStar_UInt128_mul_wide(q2, mu2);
FStar_UInt128_uint128 xy23 = FStar_UInt128_mul_wide(q2, mu3);
FStar_UInt128_uint128 xy24 = FStar_UInt128_mul_wide(q2, mu4);
FStar_UInt128_uint128 xy300 = FStar_UInt128_mul_wide(q3, mu0);
FStar_UInt128_uint128 xy310 = FStar_UInt128_mul_wide(q3, mu1);
FStar_UInt128_uint128 xy32 = FStar_UInt128_mul_wide(q3, mu2);
FStar_UInt128_uint128 xy33 = FStar_UInt128_mul_wide(q3, mu3);
FStar_UInt128_uint128 xy34 = FStar_UInt128_mul_wide(q3, mu4);
FStar_UInt128_uint128 xy400 = FStar_UInt128_mul_wide(q4, mu0);
FStar_UInt128_uint128 xy41 = FStar_UInt128_mul_wide(q4, mu1);
FStar_UInt128_uint128 xy42 = FStar_UInt128_mul_wide(q4, mu2);
FStar_UInt128_uint128 xy43 = FStar_UInt128_mul_wide(q4, mu3);
FStar_UInt128_uint128 xy44 = FStar_UInt128_mul_wide(q4, mu4);
FStar_UInt128_uint128 z01 = xy000;
FStar_UInt128_uint128 z11 = FStar_UInt128_add_mod(xy010, xy100);
FStar_UInt128_uint128 z21 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy020, xy110), xy200);
FStar_UInt128_uint128
z31 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy030, xy120), xy210),
xy300);
FStar_UInt128_uint128
z41 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy040,
xy130),
xy220),
xy310),
xy400);
FStar_UInt128_uint128
z5 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy14, xy23), xy32),
xy41);
FStar_UInt128_uint128 z6 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy24, xy33), xy42);
FStar_UInt128_uint128 z7 = FStar_UInt128_add_mod(xy34, xy43);
FStar_UInt128_uint128 z8 = xy44;
FStar_UInt128_uint128 carry0 = FStar_UInt128_shift_right(z01, (uint32_t)56U);
FStar_UInt128_uint128 c00 = carry0;
FStar_UInt128_uint128
carry1 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z11, c00), (uint32_t)56U);
FStar_UInt128_uint128 c10 = carry1;
FStar_UInt128_uint128
carry2 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z21, c10), (uint32_t)56U);
FStar_UInt128_uint128 c20 = carry2;
FStar_UInt128_uint128
carry3 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z31, c20), (uint32_t)56U);
FStar_UInt128_uint128 c30 = carry3;
FStar_UInt128_uint128
carry4 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z41, c30), (uint32_t)56U);
uint64_t
t100 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z41, c30)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c40 = carry4;
uint64_t t410 = t100;
FStar_UInt128_uint128
carry5 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z5, c40), (uint32_t)56U);
uint64_t
t101 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z5, c40)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c5 = carry5;
uint64_t t51 = t101;
FStar_UInt128_uint128
carry6 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z6, c5), (uint32_t)56U);
uint64_t
t102 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z6, c5)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c6 = carry6;
uint64_t t61 = t102;
FStar_UInt128_uint128
carry7 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z7, c6), (uint32_t)56U);
uint64_t
t103 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z7, c6)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c7 = carry7;
uint64_t t71 = t103;
FStar_UInt128_uint128
carry8 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z8, c7), (uint32_t)56U);
uint64_t
t104 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z8, c7)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c8 = carry8;
uint64_t t81 = t104;
uint64_t t91 = FStar_UInt128_uint128_to_uint64(c8);
uint64_t qmu4_ = t410;
uint64_t qmu5_ = t51;
uint64_t qmu6_ = t61;
uint64_t qmu7_ = t71;
uint64_t qmu8_ = t81;
uint64_t qmu9_ = t91;
uint64_t y_4 = (qmu5_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
uint64_t x_4 = qmu4_ >> (uint32_t)40U;
uint64_t z02 = x_4 | y_4;
uint64_t y_5 = (qmu6_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
uint64_t x_5 = qmu5_ >> (uint32_t)40U;
uint64_t z12 = x_5 | y_5;
uint64_t y_6 = (qmu7_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
uint64_t x_6 = qmu6_ >> (uint32_t)40U;
uint64_t z22 = x_6 | y_6;
uint64_t y_7 = (qmu8_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
uint64_t x_7 = qmu7_ >> (uint32_t)40U;
uint64_t z32 = x_7 | y_7;
uint64_t y_8 = (qmu9_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
uint64_t x_8 = qmu8_ >> (uint32_t)40U;
uint64_t z42 = x_8 | y_8;
uint64_t qdiv0 = z02;
uint64_t qdiv1 = z12;
uint64_t qdiv2 = z22;
uint64_t qdiv3 = z32;
uint64_t qdiv4 = z42;
uint64_t r0 = t0;
uint64_t r1 = t1;
uint64_t r2 = t2;
uint64_t r3 = t3;
uint64_t r4 = t4 & (uint64_t)0xffffffffffU;
FStar_UInt128_uint128 xy00 = FStar_UInt128_mul_wide(qdiv0, m0);
FStar_UInt128_uint128 xy01 = FStar_UInt128_mul_wide(qdiv0, m1);
FStar_UInt128_uint128 xy02 = FStar_UInt128_mul_wide(qdiv0, m2);
FStar_UInt128_uint128 xy03 = FStar_UInt128_mul_wide(qdiv0, m3);
FStar_UInt128_uint128 xy04 = FStar_UInt128_mul_wide(qdiv0, m4);
FStar_UInt128_uint128 xy10 = FStar_UInt128_mul_wide(qdiv1, m0);
FStar_UInt128_uint128 xy11 = FStar_UInt128_mul_wide(qdiv1, m1);
FStar_UInt128_uint128 xy12 = FStar_UInt128_mul_wide(qdiv1, m2);
FStar_UInt128_uint128 xy13 = FStar_UInt128_mul_wide(qdiv1, m3);
FStar_UInt128_uint128 xy20 = FStar_UInt128_mul_wide(qdiv2, m0);
FStar_UInt128_uint128 xy21 = FStar_UInt128_mul_wide(qdiv2, m1);
FStar_UInt128_uint128 xy22 = FStar_UInt128_mul_wide(qdiv2, m2);
FStar_UInt128_uint128 xy30 = FStar_UInt128_mul_wide(qdiv3, m0);
FStar_UInt128_uint128 xy31 = FStar_UInt128_mul_wide(qdiv3, m1);
FStar_UInt128_uint128 xy40 = FStar_UInt128_mul_wide(qdiv4, m0);
FStar_UInt128_uint128 carry9 = FStar_UInt128_shift_right(xy00, (uint32_t)56U);
uint64_t t105 = FStar_UInt128_uint128_to_uint64(xy00) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c0 = carry9;
uint64_t t010 = t105;
FStar_UInt128_uint128
carry10 =
FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy01, xy10), c0),
(uint32_t)56U);
uint64_t
t106 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy01, xy10), c0)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c11 = carry10;
uint64_t t110 = t106;
FStar_UInt128_uint128
carry11 =
FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02,
xy11),
xy20),
c11),
(uint32_t)56U);
uint64_t
t107 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02,
xy11),
xy20),
c11)) &
(uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c21 = carry11;
uint64_t t210 = t107;
FStar_UInt128_uint128
carry =
FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03,
xy12),
xy21),
xy30),
c21),
(uint32_t)56U);
uint64_t
t108 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03,
xy12),
xy21),
xy30),
c21)) &
(uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c31 = carry;
uint64_t t310 = t108;
uint64_t
t411 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy04,
xy13),
xy22),
xy31),
xy40),
c31)) &
(uint64_t)0xffffffffffU;
uint64_t qmul0 = t010;
uint64_t qmul1 = t110;
uint64_t qmul2 = t210;
uint64_t qmul3 = t310;
uint64_t qmul4 = t411;
uint64_t b5 = (r0 - qmul0) >> (uint32_t)63U;
uint64_t t109 = (b5 << (uint32_t)56U) + r0 - qmul0;
uint64_t c1 = b5;
uint64_t t011 = t109;
uint64_t b6 = (r1 - (qmul1 + c1)) >> (uint32_t)63U;
uint64_t t1010 = (b6 << (uint32_t)56U) + r1 - (qmul1 + c1);
uint64_t c2 = b6;
uint64_t t111 = t1010;
uint64_t b7 = (r2 - (qmul2 + c2)) >> (uint32_t)63U;
uint64_t t1011 = (b7 << (uint32_t)56U) + r2 - (qmul2 + c2);
uint64_t c3 = b7;
uint64_t t211 = t1011;
uint64_t b8 = (r3 - (qmul3 + c3)) >> (uint32_t)63U;
uint64_t t1012 = (b8 << (uint32_t)56U) + r3 - (qmul3 + c3);
uint64_t c4 = b8;
uint64_t t311 = t1012;
uint64_t b9 = (r4 - (qmul4 + c4)) >> (uint32_t)63U;
uint64_t t1013 = (b9 << (uint32_t)40U) + r4 - (qmul4 + c4);
uint64_t t412 = t1013;
uint64_t s0 = t011;
uint64_t s1 = t111;
uint64_t s2 = t211;
uint64_t s3 = t311;
uint64_t s4 = t412;
uint64_t m01 = (uint64_t)0x12631a5cf5d3edU;
uint64_t m11 = (uint64_t)0xf9dea2f79cd658U;
uint64_t m21 = (uint64_t)0x000000000014deU;
uint64_t m31 = (uint64_t)0x00000000000000U;
uint64_t m41 = (uint64_t)0x00000010000000U;
uint64_t y0 = m01;
uint64_t y1 = m11;
uint64_t y2 = m21;
uint64_t y3 = m31;
uint64_t y4 = m41;
uint64_t b10 = (s0 - y0) >> (uint32_t)63U;
uint64_t t1014 = (b10 << (uint32_t)56U) + s0 - y0;
uint64_t b0 = b10;
uint64_t t01 = t1014;
uint64_t b11 = (s1 - (y1 + b0)) >> (uint32_t)63U;
uint64_t t1015 = (b11 << (uint32_t)56U) + s1 - (y1 + b0);
uint64_t b1 = b11;
uint64_t t11 = t1015;
uint64_t b12 = (s2 - (y2 + b1)) >> (uint32_t)63U;
uint64_t t1016 = (b12 << (uint32_t)56U) + s2 - (y2 + b1);
uint64_t b2 = b12;
uint64_t t21 = t1016;
uint64_t b13 = (s3 - (y3 + b2)) >> (uint32_t)63U;
uint64_t t1017 = (b13 << (uint32_t)56U) + s3 - (y3 + b2);
uint64_t b3 = b13;
uint64_t t31 = t1017;
uint64_t b = (s4 - (y4 + b3)) >> (uint32_t)63U;
uint64_t t10 = (b << (uint32_t)56U) + s4 - (y4 + b3);
uint64_t b4 = b;
uint64_t t41 = t10;
uint64_t mask = b4 - (uint64_t)1U;
uint64_t z03 = s0 ^ (mask & (s0 ^ t01));
uint64_t z13 = s1 ^ (mask & (s1 ^ t11));
uint64_t z23 = s2 ^ (mask & (s2 ^ t21));
uint64_t z33 = s3 ^ (mask & (s3 ^ t31));
uint64_t z43 = s4 ^ (mask & (s4 ^ t41));
uint64_t z04 = z03;
uint64_t z14 = z13;
uint64_t z24 = z23;
uint64_t z34 = z33;
uint64_t z44 = z43;
uint64_t o0 = z04;
uint64_t o1 = z14;
uint64_t o2 = z24;
uint64_t o3 = z34;
uint64_t o4 = z44;
uint64_t z0 = o0;
uint64_t z1 = o1;
uint64_t z2 = o2;
uint64_t z3 = o3;
uint64_t z4 = o4;
z[0U] = z0;
z[1U] = z1;
z[2U] = z2;
z[3U] = z3;
z[4U] = z4;
}
static inline void
mul_modq(uint64_t *out, uint64_t *x, uint64_t *y)
{
uint64_t tmp[10U] = { 0U };
uint64_t x0 = x[0U];
uint64_t x1 = x[1U];
uint64_t x2 = x[2U];
uint64_t x3 = x[3U];
uint64_t x4 = x[4U];
uint64_t y0 = y[0U];
uint64_t y1 = y[1U];
uint64_t y2 = y[2U];
uint64_t y3 = y[3U];
uint64_t y4 = y[4U];
FStar_UInt128_uint128 xy00 = FStar_UInt128_mul_wide(x0, y0);
FStar_UInt128_uint128 xy01 = FStar_UInt128_mul_wide(x0, y1);
FStar_UInt128_uint128 xy02 = FStar_UInt128_mul_wide(x0, y2);
FStar_UInt128_uint128 xy03 = FStar_UInt128_mul_wide(x0, y3);
FStar_UInt128_uint128 xy04 = FStar_UInt128_mul_wide(x0, y4);
FStar_UInt128_uint128 xy10 = FStar_UInt128_mul_wide(x1, y0);
FStar_UInt128_uint128 xy11 = FStar_UInt128_mul_wide(x1, y1);
FStar_UInt128_uint128 xy12 = FStar_UInt128_mul_wide(x1, y2);
FStar_UInt128_uint128 xy13 = FStar_UInt128_mul_wide(x1, y3);
FStar_UInt128_uint128 xy14 = FStar_UInt128_mul_wide(x1, y4);
FStar_UInt128_uint128 xy20 = FStar_UInt128_mul_wide(x2, y0);
FStar_UInt128_uint128 xy21 = FStar_UInt128_mul_wide(x2, y1);
FStar_UInt128_uint128 xy22 = FStar_UInt128_mul_wide(x2, y2);
FStar_UInt128_uint128 xy23 = FStar_UInt128_mul_wide(x2, y3);
FStar_UInt128_uint128 xy24 = FStar_UInt128_mul_wide(x2, y4);
FStar_UInt128_uint128 xy30 = FStar_UInt128_mul_wide(x3, y0);
FStar_UInt128_uint128 xy31 = FStar_UInt128_mul_wide(x3, y1);
FStar_UInt128_uint128 xy32 = FStar_UInt128_mul_wide(x3, y2);
FStar_UInt128_uint128 xy33 = FStar_UInt128_mul_wide(x3, y3);
FStar_UInt128_uint128 xy34 = FStar_UInt128_mul_wide(x3, y4);
FStar_UInt128_uint128 xy40 = FStar_UInt128_mul_wide(x4, y0);
FStar_UInt128_uint128 xy41 = FStar_UInt128_mul_wide(x4, y1);
FStar_UInt128_uint128 xy42 = FStar_UInt128_mul_wide(x4, y2);
FStar_UInt128_uint128 xy43 = FStar_UInt128_mul_wide(x4, y3);
FStar_UInt128_uint128 xy44 = FStar_UInt128_mul_wide(x4, y4);
FStar_UInt128_uint128 z00 = xy00;
FStar_UInt128_uint128 z10 = FStar_UInt128_add_mod(xy01, xy10);
FStar_UInt128_uint128 z20 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02, xy11), xy20);
FStar_UInt128_uint128
z30 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03, xy12), xy21),
xy30);
FStar_UInt128_uint128
z40 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy04,
xy13),
xy22),
xy31),
xy40);
FStar_UInt128_uint128
z50 =
FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy14, xy23), xy32),
xy41);
FStar_UInt128_uint128 z60 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy24, xy33), xy42);
FStar_UInt128_uint128 z70 = FStar_UInt128_add_mod(xy34, xy43);
FStar_UInt128_uint128 z80 = xy44;
FStar_UInt128_uint128 carry0 = FStar_UInt128_shift_right(z00, (uint32_t)56U);
uint64_t t10 = FStar_UInt128_uint128_to_uint64(z00) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c0 = carry0;
uint64_t t0 = t10;
FStar_UInt128_uint128
carry1 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z10, c0), (uint32_t)56U);
uint64_t
t11 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z10, c0)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c1 = carry1;
uint64_t t1 = t11;
FStar_UInt128_uint128
carry2 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z20, c1), (uint32_t)56U);
uint64_t
t12 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z20, c1)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c2 = carry2;
uint64_t t2 = t12;
FStar_UInt128_uint128
carry3 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z30, c2), (uint32_t)56U);
uint64_t
t13 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z30, c2)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c3 = carry3;
uint64_t t3 = t13;
FStar_UInt128_uint128
carry4 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z40, c3), (uint32_t)56U);
uint64_t
t14 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z40, c3)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c4 = carry4;
uint64_t t4 = t14;
FStar_UInt128_uint128
carry5 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z50, c4), (uint32_t)56U);
uint64_t
t15 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z50, c4)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c5 = carry5;
uint64_t t5 = t15;
FStar_UInt128_uint128
carry6 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z60, c5), (uint32_t)56U);
uint64_t
t16 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z60, c5)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c6 = carry6;
uint64_t t6 = t16;
FStar_UInt128_uint128
carry7 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z70, c6), (uint32_t)56U);
uint64_t
t17 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z70, c6)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c7 = carry7;
uint64_t t7 = t17;
FStar_UInt128_uint128
carry = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z80, c7), (uint32_t)56U);
uint64_t
t =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z80, c7)) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c8 = carry;
uint64_t t8 = t;
uint64_t t9 = FStar_UInt128_uint128_to_uint64(c8);
uint64_t z0 = t0;
uint64_t z1 = t1;
uint64_t z2 = t2;
uint64_t z3 = t3;
uint64_t z4 = t4;
uint64_t z5 = t5;
uint64_t z6 = t6;
uint64_t z7 = t7;
uint64_t z8 = t8;
uint64_t z9 = t9;
tmp[0U] = z0;
tmp[1U] = z1;
tmp[2U] = z2;
tmp[3U] = z3;
tmp[4U] = z4;
tmp[5U] = z5;
tmp[6U] = z6;
tmp[7U] = z7;
tmp[8U] = z8;
tmp[9U] = z9;
barrett_reduction(out, tmp);
}
static inline void
add_modq(uint64_t *out, uint64_t *x, uint64_t *y)
{
uint64_t x0 = x[0U];
uint64_t x1 = x[1U];
uint64_t x2 = x[2U];
uint64_t x3 = x[3U];
uint64_t x4 = x[4U];
uint64_t y0 = y[0U];
uint64_t y1 = y[1U];
uint64_t y2 = y[2U];
uint64_t y3 = y[3U];
uint64_t y4 = y[4U];
uint64_t carry0 = (x0 + y0) >> (uint32_t)56U;
uint64_t t0 = (x0 + y0) & (uint64_t)0xffffffffffffffU;
uint64_t t00 = t0;
uint64_t c0 = carry0;
uint64_t carry1 = (x1 + y1 + c0) >> (uint32_t)56U;
uint64_t t1 = (x1 + y1 + c0) & (uint64_t)0xffffffffffffffU;
uint64_t t10 = t1;
uint64_t c1 = carry1;
uint64_t carry2 = (x2 + y2 + c1) >> (uint32_t)56U;
uint64_t t2 = (x2 + y2 + c1) & (uint64_t)0xffffffffffffffU;
uint64_t t20 = t2;
uint64_t c2 = carry2;
uint64_t carry = (x3 + y3 + c2) >> (uint32_t)56U;
uint64_t t3 = (x3 + y3 + c2) & (uint64_t)0xffffffffffffffU;
uint64_t t30 = t3;
uint64_t c3 = carry;
uint64_t t4 = x4 + y4 + c3;
uint64_t m0 = (uint64_t)0x12631a5cf5d3edU;
uint64_t m1 = (uint64_t)0xf9dea2f79cd658U;
uint64_t m2 = (uint64_t)0x000000000014deU;
uint64_t m3 = (uint64_t)0x00000000000000U;
uint64_t m4 = (uint64_t)0x00000010000000U;
uint64_t y01 = m0;
uint64_t y11 = m1;
uint64_t y21 = m2;
uint64_t y31 = m3;
uint64_t y41 = m4;
uint64_t b5 = (t00 - y01) >> (uint32_t)63U;
uint64_t t5 = (b5 << (uint32_t)56U) + t00 - y01;
uint64_t b0 = b5;
uint64_t t01 = t5;
uint64_t b6 = (t10 - (y11 + b0)) >> (uint32_t)63U;
uint64_t t6 = (b6 << (uint32_t)56U) + t10 - (y11 + b0);
uint64_t b1 = b6;
uint64_t t11 = t6;
uint64_t b7 = (t20 - (y21 + b1)) >> (uint32_t)63U;
uint64_t t7 = (b7 << (uint32_t)56U) + t20 - (y21 + b1);
uint64_t b2 = b7;
uint64_t t21 = t7;
uint64_t b8 = (t30 - (y31 + b2)) >> (uint32_t)63U;
uint64_t t8 = (b8 << (uint32_t)56U) + t30 - (y31 + b2);
uint64_t b3 = b8;
uint64_t t31 = t8;
uint64_t b = (t4 - (y41 + b3)) >> (uint32_t)63U;
uint64_t t = (b << (uint32_t)56U) + t4 - (y41 + b3);
uint64_t b4 = b;
uint64_t t41 = t;
uint64_t mask = b4 - (uint64_t)1U;
uint64_t z00 = t00 ^ (mask & (t00 ^ t01));
uint64_t z10 = t10 ^ (mask & (t10 ^ t11));
uint64_t z20 = t20 ^ (mask & (t20 ^ t21));
uint64_t z30 = t30 ^ (mask & (t30 ^ t31));
uint64_t z40 = t4 ^ (mask & (t4 ^ t41));
uint64_t z01 = z00;
uint64_t z11 = z10;
uint64_t z21 = z20;
uint64_t z31 = z30;
uint64_t z41 = z40;
uint64_t o0 = z01;
uint64_t o1 = z11;
uint64_t o2 = z21;
uint64_t o3 = z31;
uint64_t o4 = z41;
uint64_t z0 = o0;
uint64_t z1 = o1;
uint64_t z2 = o2;
uint64_t z3 = o3;
uint64_t z4 = o4;
out[0U] = z0;
out[1U] = z1;
out[2U] = z2;
out[3U] = z3;
out[4U] = z4;
}
static inline bool
gte_q(uint64_t *s)
{
uint64_t s0 = s[0U];
uint64_t s1 = s[1U];
uint64_t s2 = s[2U];
uint64_t s3 = s[3U];
uint64_t s4 = s[4U];
if (s4 > (uint64_t)0x00000010000000U) {
return true;
}
if (s4 < (uint64_t)0x00000010000000U) {
return false;
}
if (s3 > (uint64_t)0x00000000000000U) {
return true;
}
if (s2 > (uint64_t)0x000000000014deU) {
return true;
}
if (s2 < (uint64_t)0x000000000014deU) {
return false;
}
if (s1 > (uint64_t)0xf9dea2f79cd658U) {
return true;
}
if (s1 < (uint64_t)0xf9dea2f79cd658U) {
return false;
}
if (s0 >= (uint64_t)0x12631a5cf5d3edU) {
return true;
}
return false;
}
static inline bool
eq(uint64_t *a, uint64_t *b)
{
uint64_t a0 = a[0U];
uint64_t a1 = a[1U];
uint64_t a2 = a[2U];
uint64_t a3 = a[3U];
uint64_t a4 = a[4U];
uint64_t b0 = b[0U];
uint64_t b1 = b[1U];
uint64_t b2 = b[2U];
uint64_t b3 = b[3U];
uint64_t b4 = b[4U];
return a0 == b0 && a1 == b1 && a2 == b2 && a3 == b3 && a4 == b4;
}
bool
Hacl_Impl_Ed25519_PointEqual_point_equal(uint64_t *p, uint64_t *q)
{
uint64_t tmp[20U] = { 0U };
uint64_t *pxqz = tmp;
uint64_t *qxpz = tmp + (uint32_t)5U;
fmul0(pxqz, p, q + (uint32_t)10U);
reduce(pxqz);
fmul0(qxpz, q, p + (uint32_t)10U);
reduce(qxpz);
bool b = eq(pxqz, qxpz);
if (b) {
uint64_t *pyqz = tmp + (uint32_t)10U;
uint64_t *qypz = tmp + (uint32_t)15U;
fmul0(pyqz, p + (uint32_t)5U, q + (uint32_t)10U);
reduce(pyqz);
fmul0(qypz, q + (uint32_t)5U, p + (uint32_t)10U);
reduce(qypz);
return eq(pyqz, qypz);
}
return false;
}
void
Hacl_Impl_Ed25519_PointNegate_point_negate(uint64_t *p, uint64_t *out)
{
uint64_t zero[5U] = { 0U };
zero[0U] = (uint64_t)0U;
zero[1U] = (uint64_t)0U;
zero[2U] = (uint64_t)0U;
zero[3U] = (uint64_t)0U;
zero[4U] = (uint64_t)0U;
uint64_t *x = p;
uint64_t *y = p + (uint32_t)5U;
uint64_t *z = p + (uint32_t)10U;
uint64_t *t = p + (uint32_t)15U;
uint64_t *x1 = out;
uint64_t *y1 = out + (uint32_t)5U;
uint64_t *z1 = out + (uint32_t)10U;
uint64_t *t1 = out + (uint32_t)15U;
fdifference(x1, zero, x);
Hacl_Bignum25519_reduce_513(x1);
memcpy(y1, y, (uint32_t)5U * sizeof(uint64_t));
memcpy(z1, z, (uint32_t)5U * sizeof(uint64_t));
fdifference(t1, zero, t);
Hacl_Bignum25519_reduce_513(t1);
}
void
Hacl_Impl_Ed25519_Ladder_point_mul(uint64_t *out, uint8_t *scalar, uint64_t *q)
{
uint64_t bscalar[4U] = { 0U };
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = bscalar;
uint8_t *bj = scalar + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
uint64_t table[320U] = { 0U };
uint64_t tmp[20U] = { 0U };
uint64_t *t0 = table;
uint64_t *t1 = table + (uint32_t)20U;
Hacl_Impl_Ed25519_PointConstants_make_point_inf(t0);
memcpy(t1, q, (uint32_t)20U * sizeof(uint64_t));
KRML_MAYBE_FOR7(i,
(uint32_t)0U,
(uint32_t)7U,
(uint32_t)1U,
uint64_t *t11 = table + (i + (uint32_t)1U) * (uint32_t)20U;
Hacl_Impl_Ed25519_PointDouble_point_double(tmp, t11);
memcpy(table + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U,
tmp,
(uint32_t)20U * sizeof(uint64_t));
uint64_t *t2 = table + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U;
Hacl_Impl_Ed25519_PointAdd_point_add(tmp, q, t2);
memcpy(table + ((uint32_t)2U * i + (uint32_t)3U) * (uint32_t)20U,
tmp,
(uint32_t)20U * sizeof(uint64_t)););
Hacl_Impl_Ed25519_PointConstants_make_point_inf(out);
uint64_t tmp0[20U] = { 0U };
for (uint32_t i0 = (uint32_t)0U; i0 < (uint32_t)64U; i0++) {
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
uint32_t k = (uint32_t)256U - (uint32_t)4U * i0 - (uint32_t)4U;
uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar, k, (uint32_t)4U);
memcpy(tmp0, (uint64_t *)table, (uint32_t)20U * sizeof(uint64_t));
KRML_MAYBE_FOR15(
i1,
(uint32_t)0U,
(uint32_t)15U,
(uint32_t)1U,
uint64_t c = FStar_UInt64_eq_mask(bits_l, (uint64_t)(i1 + (uint32_t)1U));
const uint64_t *res_j = table + (i1 + (uint32_t)1U) * (uint32_t)20U;
for (uint32_t i = (uint32_t)0U; i < (uint32_t)20U; i++) {
uint64_t *os = tmp0;
uint64_t x = (c & res_j[i]) | (~c & tmp0[i]);
os[i] = x;
});
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp0);
}
}
static inline void
precomp_get_consttime(const uint64_t *table, uint64_t bits_l, uint64_t *tmp)
{
memcpy(tmp, (uint64_t *)table, (uint32_t)20U * sizeof(uint64_t));
KRML_MAYBE_FOR15(
i0,
(uint32_t)0U,
(uint32_t)15U,
(uint32_t)1U,
uint64_t c = FStar_UInt64_eq_mask(bits_l, (uint64_t)(i0 + (uint32_t)1U));
const uint64_t *res_j = table + (i0 + (uint32_t)1U) * (uint32_t)20U;
for (uint32_t i = (uint32_t)0U; i < (uint32_t)20U; i++) {
uint64_t *os = tmp;
uint64_t x = (c & res_j[i]) | (~c & tmp[i]);
os[i] = x;
});
}
static inline void
point_mul_g(uint64_t *out, uint8_t *scalar)
{
uint64_t bscalar[4U] = { 0U };
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = bscalar;
uint8_t *bj = scalar + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
uint64_t q1[20U] = { 0U };
uint64_t *gx = q1;
uint64_t *gy = q1 + (uint32_t)5U;
uint64_t *gz = q1 + (uint32_t)10U;
uint64_t *gt = q1 + (uint32_t)15U;
gx[0U] = (uint64_t)0x00062d608f25d51aU;
gx[1U] = (uint64_t)0x000412a4b4f6592aU;
gx[2U] = (uint64_t)0x00075b7171a4b31dU;
gx[3U] = (uint64_t)0x0001ff60527118feU;
gx[4U] = (uint64_t)0x000216936d3cd6e5U;
gy[0U] = (uint64_t)0x0006666666666658U;
gy[1U] = (uint64_t)0x0004ccccccccccccU;
gy[2U] = (uint64_t)0x0001999999999999U;
gy[3U] = (uint64_t)0x0003333333333333U;
gy[4U] = (uint64_t)0x0006666666666666U;
gz[0U] = (uint64_t)1U;
gz[1U] = (uint64_t)0U;
gz[2U] = (uint64_t)0U;
gz[3U] = (uint64_t)0U;
gz[4U] = (uint64_t)0U;
gt[0U] = (uint64_t)0x00068ab3a5b7dda3U;
gt[1U] = (uint64_t)0x00000eea2a5eadbbU;
gt[2U] = (uint64_t)0x0002af8df483c27eU;
gt[3U] = (uint64_t)0x000332b375274732U;
gt[4U] = (uint64_t)0x00067875f0fd78b7U;
uint64_t
q2[20U] = {
(uint64_t)13559344787725U, (uint64_t)2051621493703448U, (uint64_t)1947659315640708U,
(uint64_t)626856790370168U, (uint64_t)1592804284034836U, (uint64_t)1781728767459187U,
(uint64_t)278818420518009U, (uint64_t)2038030359908351U, (uint64_t)910625973862690U,
(uint64_t)471887343142239U, (uint64_t)1298543306606048U, (uint64_t)794147365642417U,
(uint64_t)129968992326749U, (uint64_t)523140861678572U, (uint64_t)1166419653909231U,
(uint64_t)2009637196928390U, (uint64_t)1288020222395193U, (uint64_t)1007046974985829U,
(uint64_t)208981102651386U, (uint64_t)2074009315253380U
};
uint64_t
q3[20U] = {
(uint64_t)557549315715710U, (uint64_t)196756086293855U, (uint64_t)846062225082495U,
(uint64_t)1865068224838092U, (uint64_t)991112090754908U, (uint64_t)522916421512828U,
(uint64_t)2098523346722375U, (uint64_t)1135633221747012U, (uint64_t)858420432114866U,
(uint64_t)186358544306082U, (uint64_t)1044420411868480U, (uint64_t)2080052304349321U,
(uint64_t)557301814716724U, (uint64_t)1305130257814057U, (uint64_t)2126012765451197U,
(uint64_t)1441004402875101U, (uint64_t)353948968859203U, (uint64_t)470765987164835U,
(uint64_t)1507675957683570U, (uint64_t)1086650358745097U
};
uint64_t
q4[20U] = {
(uint64_t)1129953239743101U, (uint64_t)1240339163956160U, (uint64_t)61002583352401U,
(uint64_t)2017604552196030U, (uint64_t)1576867829229863U, (uint64_t)1508654942849389U,
(uint64_t)270111619664077U, (uint64_t)1253097517254054U, (uint64_t)721798270973250U,
(uint64_t)161923365415298U, (uint64_t)828530877526011U, (uint64_t)1494851059386763U,
(uint64_t)662034171193976U, (uint64_t)1315349646974670U, (uint64_t)2199229517308806U,
(uint64_t)497078277852673U, (uint64_t)1310507715989956U, (uint64_t)1881315714002105U,
(uint64_t)2214039404983803U, (uint64_t)1331036420272667U
};
uint64_t *r1 = bscalar;
uint64_t *r2 = bscalar + (uint32_t)1U;
uint64_t *r3 = bscalar + (uint32_t)2U;
uint64_t *r4 = bscalar + (uint32_t)3U;
Hacl_Impl_Ed25519_PointConstants_make_point_inf(out);
uint64_t tmp[20U] = { 0U };
KRML_MAYBE_FOR16(i,
(uint32_t)0U,
(uint32_t)16U,
(uint32_t)1U,
KRML_MAYBE_FOR4(i0,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
uint32_t k = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r4, k, (uint32_t)4U);
precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_192_table_w4, bits_l, tmp);
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
uint32_t k0 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
uint64_t bits_l0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r3, k0, (uint32_t)4U);
precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_128_table_w4, bits_l0, tmp);
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
uint32_t k1 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
uint64_t bits_l1 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r2, k1, (uint32_t)4U);
precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_64_table_w4, bits_l1, tmp);
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
uint32_t k2 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
uint64_t bits_l2 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r1, k2, (uint32_t)4U);
precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w4, bits_l2, tmp);
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp););
KRML_HOST_IGNORE(q2);
KRML_HOST_IGNORE(q3);
KRML_HOST_IGNORE(q4);
}
static inline void
point_mul_g_double_vartime(uint64_t *out, uint8_t *scalar1, uint8_t *scalar2, uint64_t *q2)
{
uint64_t tmp[28U] = { 0U };
uint64_t *g = tmp;
uint64_t *bscalar1 = tmp + (uint32_t)20U;
uint64_t *bscalar2 = tmp + (uint32_t)24U;
uint64_t *gx = g;
uint64_t *gy = g + (uint32_t)5U;
uint64_t *gz = g + (uint32_t)10U;
uint64_t *gt = g + (uint32_t)15U;
gx[0U] = (uint64_t)0x00062d608f25d51aU;
gx[1U] = (uint64_t)0x000412a4b4f6592aU;
gx[2U] = (uint64_t)0x00075b7171a4b31dU;
gx[3U] = (uint64_t)0x0001ff60527118feU;
gx[4U] = (uint64_t)0x000216936d3cd6e5U;
gy[0U] = (uint64_t)0x0006666666666658U;
gy[1U] = (uint64_t)0x0004ccccccccccccU;
gy[2U] = (uint64_t)0x0001999999999999U;
gy[3U] = (uint64_t)0x0003333333333333U;
gy[4U] = (uint64_t)0x0006666666666666U;
gz[0U] = (uint64_t)1U;
gz[1U] = (uint64_t)0U;
gz[2U] = (uint64_t)0U;
gz[3U] = (uint64_t)0U;
gz[4U] = (uint64_t)0U;
gt[0U] = (uint64_t)0x00068ab3a5b7dda3U;
gt[1U] = (uint64_t)0x00000eea2a5eadbbU;
gt[2U] = (uint64_t)0x0002af8df483c27eU;
gt[3U] = (uint64_t)0x000332b375274732U;
gt[4U] = (uint64_t)0x00067875f0fd78b7U;
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = bscalar1;
uint8_t *bj = scalar1 + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = bscalar2;
uint8_t *bj = scalar2 + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
uint64_t table2[640U] = { 0U };
uint64_t tmp1[20U] = { 0U };
uint64_t *t0 = table2;
uint64_t *t1 = table2 + (uint32_t)20U;
Hacl_Impl_Ed25519_PointConstants_make_point_inf(t0);
memcpy(t1, q2, (uint32_t)20U * sizeof(uint64_t));
KRML_MAYBE_FOR15(i,
(uint32_t)0U,
(uint32_t)15U,
(uint32_t)1U,
uint64_t *t11 = table2 + (i + (uint32_t)1U) * (uint32_t)20U;
Hacl_Impl_Ed25519_PointDouble_point_double(tmp1, t11);
memcpy(table2 + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U,
tmp1,
(uint32_t)20U * sizeof(uint64_t));
uint64_t *t2 = table2 + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U;
Hacl_Impl_Ed25519_PointAdd_point_add(tmp1, q2, t2);
memcpy(table2 + ((uint32_t)2U * i + (uint32_t)3U) * (uint32_t)20U,
tmp1,
(uint32_t)20U * sizeof(uint64_t)););
uint64_t tmp10[20U] = { 0U };
uint32_t i0 = (uint32_t)255U;
uint64_t bits_c = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar1, i0, (uint32_t)5U);
uint32_t bits_l32 = (uint32_t)bits_c;
const uint64_t
*a_bits_l = Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w5 + bits_l32 * (uint32_t)20U;
memcpy(out, (uint64_t *)a_bits_l, (uint32_t)20U * sizeof(uint64_t));
uint32_t i1 = (uint32_t)255U;
uint64_t bits_c0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar2, i1, (uint32_t)5U);
uint32_t bits_l320 = (uint32_t)bits_c0;
const uint64_t *a_bits_l0 = table2 + bits_l320 * (uint32_t)20U;
memcpy(tmp10, (uint64_t *)a_bits_l0, (uint32_t)20U * sizeof(uint64_t));
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp10);
uint64_t tmp11[20U] = { 0U };
for (uint32_t i = (uint32_t)0U; i < (uint32_t)51U; i++) {
KRML_MAYBE_FOR5(i2,
(uint32_t)0U,
(uint32_t)5U,
(uint32_t)1U,
Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
uint32_t k = (uint32_t)255U - (uint32_t)5U * i - (uint32_t)5U;
uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar2, k, (uint32_t)5U);
uint32_t bits_l321 = (uint32_t)bits_l;
const uint64_t *a_bits_l1 = table2 + bits_l321 * (uint32_t)20U;
memcpy(tmp11, (uint64_t *)a_bits_l1, (uint32_t)20U * sizeof(uint64_t));
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp11);
uint32_t k0 = (uint32_t)255U - (uint32_t)5U * i - (uint32_t)5U;
uint64_t bits_l0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar1, k0, (uint32_t)5U);
uint32_t bits_l322 = (uint32_t)bits_l0;
const uint64_t
*a_bits_l2 = Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w5 + bits_l322 * (uint32_t)20U;
memcpy(tmp11, (uint64_t *)a_bits_l2, (uint32_t)20U * sizeof(uint64_t));
Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp11);
}
}
static inline void
point_negate_mul_double_g_vartime(
uint64_t *out,
uint8_t *scalar1,
uint8_t *scalar2,
uint64_t *q2)
{
uint64_t q2_neg[20U] = { 0U };
Hacl_Impl_Ed25519_PointNegate_point_negate(q2, q2_neg);
point_mul_g_double_vartime(out, scalar1, scalar2, q2_neg);
}
static inline void
store_56(uint8_t *out, uint64_t *b)
{
uint64_t b0 = b[0U];
uint64_t b1 = b[1U];
uint64_t b2 = b[2U];
uint64_t b3 = b[3U];
uint64_t b4 = b[4U];
uint32_t b4_ = (uint32_t)b4;
uint8_t *b8 = out;
store64_le(b8, b0);
uint8_t *b80 = out + (uint32_t)7U;
store64_le(b80, b1);
uint8_t *b81 = out + (uint32_t)14U;
store64_le(b81, b2);
uint8_t *b82 = out + (uint32_t)21U;
store64_le(b82, b3);
store32_le(out + (uint32_t)28U, b4_);
}
static inline void
load_64_bytes(uint64_t *out, uint8_t *b)
{
uint8_t *b80 = b;
uint64_t u = load64_le(b80);
uint64_t z = u;
uint64_t b0 = z & (uint64_t)0xffffffffffffffU;
uint8_t *b81 = b + (uint32_t)7U;
uint64_t u0 = load64_le(b81);
uint64_t z0 = u0;
uint64_t b1 = z0 & (uint64_t)0xffffffffffffffU;
uint8_t *b82 = b + (uint32_t)14U;
uint64_t u1 = load64_le(b82);
uint64_t z1 = u1;
uint64_t b2 = z1 & (uint64_t)0xffffffffffffffU;
uint8_t *b83 = b + (uint32_t)21U;
uint64_t u2 = load64_le(b83);
uint64_t z2 = u2;
uint64_t b3 = z2 & (uint64_t)0xffffffffffffffU;
uint8_t *b84 = b + (uint32_t)28U;
uint64_t u3 = load64_le(b84);
uint64_t z3 = u3;
uint64_t b4 = z3 & (uint64_t)0xffffffffffffffU;
uint8_t *b85 = b + (uint32_t)35U;
uint64_t u4 = load64_le(b85);
uint64_t z4 = u4;
uint64_t b5 = z4 & (uint64_t)0xffffffffffffffU;
uint8_t *b86 = b + (uint32_t)42U;
uint64_t u5 = load64_le(b86);
uint64_t z5 = u5;
uint64_t b6 = z5 & (uint64_t)0xffffffffffffffU;
uint8_t *b87 = b + (uint32_t)49U;
uint64_t u6 = load64_le(b87);
uint64_t z6 = u6;
uint64_t b7 = z6 & (uint64_t)0xffffffffffffffU;
uint8_t *b8 = b + (uint32_t)56U;
uint64_t u7 = load64_le(b8);
uint64_t z7 = u7;
uint64_t b88 = z7 & (uint64_t)0xffffffffffffffU;
uint8_t b63 = b[63U];
uint64_t b9 = (uint64_t)b63;
out[0U] = b0;
out[1U] = b1;
out[2U] = b2;
out[3U] = b3;
out[4U] = b4;
out[5U] = b5;
out[6U] = b6;
out[7U] = b7;
out[8U] = b88;
out[9U] = b9;
}
static inline void
load_32_bytes(uint64_t *out, uint8_t *b)
{
uint8_t *b80 = b;
uint64_t u0 = load64_le(b80);
uint64_t z = u0;
uint64_t b0 = z & (uint64_t)0xffffffffffffffU;
uint8_t *b81 = b + (uint32_t)7U;
uint64_t u1 = load64_le(b81);
uint64_t z0 = u1;
uint64_t b1 = z0 & (uint64_t)0xffffffffffffffU;
uint8_t *b82 = b + (uint32_t)14U;
uint64_t u2 = load64_le(b82);
uint64_t z1 = u2;
uint64_t b2 = z1 & (uint64_t)0xffffffffffffffU;
uint8_t *b8 = b + (uint32_t)21U;
uint64_t u3 = load64_le(b8);
uint64_t z2 = u3;
uint64_t b3 = z2 & (uint64_t)0xffffffffffffffU;
uint32_t u = load32_le(b + (uint32_t)28U);
uint32_t b4 = u;
uint64_t b41 = (uint64_t)b4;
out[0U] = b0;
out[1U] = b1;
out[2U] = b2;
out[3U] = b3;
out[4U] = b41;
}
static inline void
sha512_modq_pre(uint64_t *out, uint8_t *prefix, uint32_t len, uint8_t *input)
{
uint64_t tmp[10U] = { 0U };
uint8_t hash[64U] = { 0U };
sha512_pre_msg(hash, prefix, len, input);
load_64_bytes(tmp, hash);
barrett_reduction(out, tmp);
}
static inline void
sha512_modq_pre_pre2(
uint64_t *out,
uint8_t *prefix,
uint8_t *prefix2,
uint32_t len,
uint8_t *input)
{
uint64_t tmp[10U] = { 0U };
uint8_t hash[64U] = { 0U };
sha512_pre_pre2_msg(hash, prefix, prefix2, len, input);
load_64_bytes(tmp, hash);
barrett_reduction(out, tmp);
}
static inline void
point_mul_g_compress(uint8_t *out, uint8_t *s)
{
uint64_t tmp[20U] = { 0U };
point_mul_g(tmp, s);
Hacl_Impl_Ed25519_PointCompress_point_compress(out, tmp);
}
static inline void
secret_expand(uint8_t *expanded, uint8_t *secret)
{
Hacl_Streaming_SHA2_hash_512(secret, (uint32_t)32U, expanded);
uint8_t *h_low = expanded;
uint8_t h_low0 = h_low[0U];
uint8_t h_low31 = h_low[31U];
h_low[0U] = h_low0 & (uint8_t)0xf8U;
h_low[31U] = (h_low31 & (uint8_t)127U) | (uint8_t)64U;
}
/********************************************************************************
Verified C library for EdDSA signing and verification on the edwards25519 curve.
********************************************************************************/
/**
Compute the public key from the private key.
The outparam `public_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
*/
void
Hacl_Ed25519_secret_to_public(uint8_t *public_key, uint8_t *private_key)
{
uint8_t expanded_secret[64U] = { 0U };
secret_expand(expanded_secret, private_key);
uint8_t *a = expanded_secret;
point_mul_g_compress(public_key, a);
}
/**
Compute the expanded keys for an Ed25519 signature.
The outparam `expanded_keys` points to 96 bytes of valid memory, i.e., uint8_t[96].
The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
If one needs to sign several messages under the same private key, it is more efficient
to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
*/
void
Hacl_Ed25519_expand_keys(uint8_t *expanded_keys, uint8_t *private_key)
{
uint8_t *public_key = expanded_keys;
uint8_t *s_prefix = expanded_keys + (uint32_t)32U;
uint8_t *s = expanded_keys + (uint32_t)32U;
secret_expand(s_prefix, private_key);
point_mul_g_compress(public_key, s);
}
/**
Create an Ed25519 signature with the (precomputed) expanded keys.
The outparam `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
The argument `expanded_keys` points to 96 bytes of valid memory, i.e., uint8_t[96].
The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
The argument `expanded_keys` is obtained through `expand_keys`.
If one needs to sign several messages under the same private key, it is more efficient
to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
*/
void
Hacl_Ed25519_sign_expanded(
uint8_t *signature,
uint8_t *expanded_keys,
uint32_t msg_len,
uint8_t *msg)
{
uint8_t *rs = signature;
uint8_t *ss = signature + (uint32_t)32U;
uint64_t rq[5U] = { 0U };
uint64_t hq[5U] = { 0U };
uint8_t rb[32U] = { 0U };
uint8_t *public_key = expanded_keys;
uint8_t *s = expanded_keys + (uint32_t)32U;
uint8_t *prefix = expanded_keys + (uint32_t)64U;
sha512_modq_pre(rq, prefix, msg_len, msg);
store_56(rb, rq);
point_mul_g_compress(rs, rb);
sha512_modq_pre_pre2(hq, rs, public_key, msg_len, msg);
uint64_t aq[5U] = { 0U };
load_32_bytes(aq, s);
mul_modq(aq, hq, aq);
add_modq(aq, rq, aq);
store_56(ss, aq);
}
/**
Create an Ed25519 signature.
The outparam `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
The function first calls `expand_keys` and then invokes `sign_expanded`.
If one needs to sign several messages under the same private key, it is more efficient
to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
*/
void
Hacl_Ed25519_sign(uint8_t *signature, uint8_t *private_key, uint32_t msg_len, uint8_t *msg)
{
uint8_t expanded_keys[96U] = { 0U };
Hacl_Ed25519_expand_keys(expanded_keys, private_key);
Hacl_Ed25519_sign_expanded(signature, expanded_keys, msg_len, msg);
}
/**
Verify an Ed25519 signature.
The function returns `true` if the signature is valid and `false` otherwise.
The argument `public_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
The argument `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
*/
bool
Hacl_Ed25519_verify(uint8_t *public_key, uint32_t msg_len, uint8_t *msg, uint8_t *signature)
{
uint64_t a_[20U] = { 0U };
bool b = Hacl_Impl_Ed25519_PointDecompress_point_decompress(a_, public_key);
if (b) {
uint64_t r_[20U] = { 0U };
uint8_t *rs = signature;
bool b_ = Hacl_Impl_Ed25519_PointDecompress_point_decompress(r_, rs);
if (b_) {
uint8_t hb[32U] = { 0U };
uint8_t *rs1 = signature;
uint8_t *sb = signature + (uint32_t)32U;
uint64_t tmp[5U] = { 0U };
load_32_bytes(tmp, sb);
bool b1 = gte_q(tmp);
bool b10 = b1;
if (b10) {
return false;
}
uint64_t tmp0[5U] = { 0U };
sha512_modq_pre_pre2(tmp0, rs1, public_key, msg_len, msg);
store_56(hb, tmp0);
uint64_t exp_d[20U] = { 0U };
point_negate_mul_double_g_vartime(exp_d, sb, hb, a_);
bool b2 = Hacl_Impl_Ed25519_PointEqual_point_equal(exp_d, r_);
return b2;
}
return false;
}
return false;
}