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Hacl_Ed25519.c
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/* MIT License
*
* Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation
*
* 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_Ed25519.h"
typedef int8_t i8;
typedef uint8_t u8;
typedef int16_t i16;
typedef uint32_t u32;
typedef int32_t i32;
typedef int64_t i64;
typedef uint64_t u64;
static u32 load32_le_p(u8 *s)
{
return (u32)s[0]
| ((u32)s[1] << 8)
| ((u32)s[2] << 16)
| ((u32)s[3] << 24);
}
static u64 load64_le_p(u8 *s)
{
return load32_le_p(s) | ((u64)load32_le_p(s+4) << 32);
}
static void store32_le_p(u8 out[4], u32 in)
{
out[0] = in & 0xff;
out[1] = (in >> 8) & 0xff;
out[2] = (in >> 16) & 0xff;
out[3] = (in >> 24) & 0xff;
}
static void store64_le_p(u8 out[8], u64 in)
{
store32_le_p(out , (u32)in );
store32_le_p(out + 4, in >> 32);
}
static void fsum(uint64_t *a, uint64_t *b)
{
Hacl_Impl_Curve25519_Field51_fadd(a, a, b);
}
void Hacl_Bignum25519_fdifference(uint64_t *a, uint64_t *b)
{
Hacl_Impl_Curve25519_Field51_fsub(a, b, a);
}
void Hacl_Bignum25519_reduce_513(uint64_t *a)
{
Hacl_Impl_Curve25519_Field51_fmul1(a, a, (uint64_t)1U);
}
static void fmul0(uint64_t *output, uint64_t *input, uint64_t *input2)
{
FStar_UInt128_uint128 tmp[10U];
{
uint32_t _i;
for (_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 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 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 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 void fsquare(uint64_t *out, uint64_t *a)
{
FStar_UInt128_uint128 tmp[5U];
{
uint32_t _i;
for (_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 void fsquare_times(uint64_t *output, uint64_t *input, uint32_t count)
{
FStar_UInt128_uint128 tmp[5U];
{
uint32_t _i;
for (_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 void fsquare_times_inplace(uint64_t *output, uint32_t count)
{
FStar_UInt128_uint128 tmp[5U];
{
uint32_t _i;
for (_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];
{
uint32_t _i;
for (_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 void reduce(uint64_t *out)
{
uint64_t t00 = out[0U];
uint64_t t10 = out[1U];
uint64_t t20 = out[2U];
uint64_t t30 = out[3U];
uint64_t t40 = out[4U];
uint64_t t2_ = t20 + (t10 >> (uint32_t)51U);
uint64_t t1__ = t10 & (uint64_t)0x7ffffffffffffU;
uint64_t t3_ = t30 + (t2_ >> (uint32_t)51U);
uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU;
uint64_t t4_ = t40 + (t3_ >> (uint32_t)51U);
uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU;
uint64_t b40;
uint64_t b00;
uint64_t b4_;
uint64_t b0_;
uint64_t t0;
uint64_t t1;
uint64_t t2;
uint64_t t3;
uint64_t t4;
uint64_t t1_;
uint64_t t0_;
uint64_t t2_0;
uint64_t t1__0;
uint64_t t3_0;
uint64_t t2__0;
uint64_t t4_0;
uint64_t t3__0;
uint64_t b4;
uint64_t b0;
uint64_t b4_0;
uint64_t b0_0;
uint64_t i0;
uint64_t i1;
uint64_t i0_;
uint64_t i1_;
uint64_t a0;
uint64_t a1;
uint64_t a2;
uint64_t a3;
uint64_t a4;
uint64_t m0;
uint64_t m1;
uint64_t m2;
uint64_t m3;
uint64_t m4;
uint64_t mask;
uint64_t a0_;
uint64_t a1_;
uint64_t a2_;
uint64_t a3_;
uint64_t a4_;
out[0U] = t00;
out[1U] = t1__;
out[2U] = t2__;
out[3U] = t3__;
out[4U] = t4_;
b40 = out[4U];
b00 = out[0U];
b4_ = b40 & (uint64_t)0x7ffffffffffffU;
b0_ = b00 + (uint64_t)19U * (b40 >> (uint32_t)51U);
out[4U] = b4_;
out[0U] = b0_;
t0 = out[0U];
t1 = out[1U];
t2 = out[2U];
t3 = out[3U];
t4 = out[4U];
t1_ = t1 + (t0 >> (uint32_t)51U);
t0_ = t0 & (uint64_t)0x7ffffffffffffU;
t2_0 = t2 + (t1_ >> (uint32_t)51U);
t1__0 = t1_ & (uint64_t)0x7ffffffffffffU;
t3_0 = t3 + (t2_0 >> (uint32_t)51U);
t2__0 = t2_0 & (uint64_t)0x7ffffffffffffU;
t4_0 = t4 + (t3_0 >> (uint32_t)51U);
t3__0 = t3_0 & (uint64_t)0x7ffffffffffffU;
out[0U] = t0_;
out[1U] = t1__0;
out[2U] = t2__0;
out[3U] = t3__0;
out[4U] = t4_0;
b4 = out[4U];
b0 = out[0U];
b4_0 = b4 & (uint64_t)0x7ffffffffffffU;
b0_0 = b0 + (uint64_t)19U * (b4 >> (uint32_t)51U);
out[4U] = b4_0;
out[0U] = b0_0;
i0 = out[0U];
i1 = out[1U];
i0_ = i0 & (uint64_t)0x7ffffffffffffU;
i1_ = i1 + (i0 >> (uint32_t)51U);
out[0U] = i0_;
out[1U] = i1_;
a0 = out[0U];
a1 = out[1U];
a2 = out[2U];
a3 = out[3U];
a4 = out[4U];
m0 = FStar_UInt64_gte_mask(a0, (uint64_t)0x7ffffffffffedU);
m1 = FStar_UInt64_eq_mask(a1, (uint64_t)0x7ffffffffffffU);
m2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x7ffffffffffffU);
m3 = FStar_UInt64_eq_mask(a3, (uint64_t)0x7ffffffffffffU);
m4 = FStar_UInt64_eq_mask(a4, (uint64_t)0x7ffffffffffffU);
mask = (((m0 & m1) & m2) & m3) & m4;
a0_ = a0 - ((uint64_t)0x7ffffffffffedU & mask);
a1_ = a1 - ((uint64_t)0x7ffffffffffffU & mask);
a2_ = a2 - ((uint64_t)0x7ffffffffffffU & mask);
a3_ = a3 - ((uint64_t)0x7ffffffffffffU & mask);
a4_ = a4 - ((uint64_t)0x7ffffffffffffU & mask);
out[0U] = a0_;
out[1U] = a1_;
out[2U] = a2_;
out[3U] = a3_;
out[4U] = a4_;
}
void Hacl_Bignum25519_load_51(uint64_t *output, uint8_t *input)
{
uint64_t u0 = load64_le_p(input);
uint64_t i0 = u0;
uint64_t u1 = load64_le_p(input + (uint32_t)6U);
uint64_t i1 = u1;
uint64_t u2 = load64_le_p(input + (uint32_t)12U);
uint64_t i2 = u2;
uint64_t u3 = load64_le_p(input + (uint32_t)19U);
uint64_t i3 = u3;
uint64_t u = load64_le_p(input + (uint32_t)24U);
uint64_t i4 = u;
uint64_t output0 = i0 & (uint64_t)0x7ffffffffffffU;
uint64_t output1 = i1 >> (uint32_t)3U & (uint64_t)0x7ffffffffffffU;
uint64_t output2 = i2 >> (uint32_t)6U & (uint64_t)0x7ffffffffffffU;
uint64_t output3 = i3 >> (uint32_t)1U & (uint64_t)0x7ffffffffffffU;
uint64_t output4 = i4 >> (uint32_t)12U & (uint64_t)0x7ffffffffffffU;
output[0U] = output0;
output[1U] = output1;
output[2U] = output2;
output[3U] = output3;
output[4U] = output4;
}
static void store_4(uint8_t *output, uint64_t v0, uint64_t v1, uint64_t v2, uint64_t v3)
{
uint8_t *b0 = output;
uint8_t *b1 = output + (uint32_t)8U;
uint8_t *b2 = output + (uint32_t)16U;
uint8_t *b3 = output + (uint32_t)24U;
store64_le_p(b0, v0);
store64_le_p(b1, v1);
store64_le_p(b2, v2);
store64_le_p(b3, v3);
}
void Hacl_Bignum25519_store_51(uint8_t *output, uint64_t *input)
{
uint64_t t0 = input[0U];
uint64_t t1 = input[1U];
uint64_t t2 = input[2U];
uint64_t t3 = input[3U];
uint64_t t4 = input[4U];
uint64_t l_ = t0 + (uint64_t)0U;
uint64_t tmp0 = l_ & (uint64_t)0x7ffffffffffffU;
uint64_t c0 = l_ >> (uint32_t)51U;
uint64_t l_0 = t1 + c0;
uint64_t tmp1 = l_0 & (uint64_t)0x7ffffffffffffU;
uint64_t c1 = l_0 >> (uint32_t)51U;
uint64_t l_1 = t2 + c1;
uint64_t tmp2 = l_1 & (uint64_t)0x7ffffffffffffU;
uint64_t c2 = l_1 >> (uint32_t)51U;
uint64_t l_2 = t3 + c2;
uint64_t tmp3 = l_2 & (uint64_t)0x7ffffffffffffU;
uint64_t c3 = l_2 >> (uint32_t)51U;
uint64_t l_3 = t4 + 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_;
uint64_t o00 = f01 | f11 << (uint32_t)51U;
uint64_t o10 = f11 >> (uint32_t)13U | f21 << (uint32_t)38U;
uint64_t o20 = f21 >> (uint32_t)26U | f31 << (uint32_t)25U;
uint64_t o30 = f31 >> (uint32_t)39U | f41 << (uint32_t)12U;
uint64_t o0 = o00;
uint64_t o1 = o10;
uint64_t o2 = o20;
uint64_t o3 = o30;
store_4(output, o0, o1, o2, o3);
}
void Hacl_Impl_Ed25519_PointAdd_point_add(uint64_t *out, uint64_t *p, uint64_t *q)
{
uint64_t tmp[30U] = { 0U };
uint64_t *tmp10 = 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;
uint64_t *tmp11;
uint64_t *tmp2;
uint64_t *tmp3;
uint64_t *tmp41;
uint64_t *tmp50;
uint64_t *tmp60;
uint64_t *z1;
uint64_t *t1;
uint64_t *z2;
uint64_t *t2;
uint64_t *tmp1;
uint64_t *tmp4;
uint64_t *tmp5;
uint64_t *tmp6;
uint64_t *x3;
uint64_t *y3;
uint64_t *z3;
uint64_t *t3;
memcpy(tmp10, x1, (uint32_t)5U * sizeof (uint64_t));
memcpy(tmp20, x2, (uint32_t)5U * sizeof (uint64_t));
Hacl_Bignum25519_fdifference(tmp10, y1);
Hacl_Bignum25519_fdifference(tmp20, y2);
fmul0(tmp30, tmp10, tmp20);
memcpy(tmp10, y1, (uint32_t)5U * sizeof (uint64_t));
memcpy(tmp20, y2, (uint32_t)5U * sizeof (uint64_t));
fsum(tmp10, x1);
fsum(tmp20, x2);
fmul0(tmp40, tmp10, tmp20);
tmp11 = tmp;
tmp2 = tmp + (uint32_t)5U;
tmp3 = tmp + (uint32_t)10U;
tmp41 = tmp + (uint32_t)15U;
tmp50 = tmp + (uint32_t)20U;
tmp60 = tmp + (uint32_t)25U;
z1 = p + (uint32_t)10U;
t1 = p + (uint32_t)15U;
z2 = q + (uint32_t)10U;
t2 = q + (uint32_t)15U;
times_2d(tmp11, t1);
fmul0(tmp2, tmp11, t2);
times_2(tmp11, z1);
fmul0(tmp50, tmp11, z2);
memcpy(tmp11, tmp3, (uint32_t)5U * sizeof (uint64_t));
memcpy(tmp60, tmp2, (uint32_t)5U * sizeof (uint64_t));
Hacl_Bignum25519_fdifference(tmp11, tmp41);
Hacl_Bignum25519_fdifference(tmp60, tmp50);
fsum(tmp50, tmp2);
fsum(tmp41, tmp3);
tmp1 = tmp;
tmp4 = tmp + (uint32_t)15U;
tmp5 = tmp + (uint32_t)20U;
tmp6 = tmp + (uint32_t)25U;
x3 = out;
y3 = out + (uint32_t)5U;
z3 = out + (uint32_t)10U;
t3 = out + (uint32_t)15U;
fmul0(x3, tmp1, tmp6);
fmul0(y3, tmp5, tmp4);
fmul0(t3, tmp1, tmp4);
fmul0(z3, tmp6, tmp5);
}
static void point_double(uint64_t *out, uint64_t *p)
{
uint64_t tmp[30U] = { 0U };
uint64_t *tmp2 = tmp + (uint32_t)5U;
uint64_t *tmp3 = tmp + (uint32_t)10U;
uint64_t *tmp4 = tmp + (uint32_t)15U;
uint64_t *tmp6 = 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;
uint64_t *tmp110 = tmp;
uint64_t *tmp210 = tmp + (uint32_t)5U;
uint64_t *tmp310 = tmp + (uint32_t)10U;
uint64_t *tmp410 = tmp + (uint32_t)15U;
uint64_t *x10 = p;
uint64_t *y10 = p + (uint32_t)5U;
uint64_t *z1 = p + (uint32_t)10U;
uint64_t *tmp11;
uint64_t *tmp21;
uint64_t *tmp31;
uint64_t *tmp41;
uint64_t *tmp51;
uint64_t *tmp61;
uint64_t *x1;
uint64_t *y1;
fsquare(tmp110, x10);
fsquare(tmp210, y10);
fsquare(tmp310, z1);
times_2(tmp410, tmp310);
memcpy(tmp310, tmp110, (uint32_t)5U * sizeof (uint64_t));
fsum(tmp310, tmp210);
tmp11 = tmp;
tmp21 = tmp + (uint32_t)5U;
tmp31 = tmp + (uint32_t)10U;
tmp41 = tmp + (uint32_t)15U;
tmp51 = tmp + (uint32_t)20U;
tmp61 = tmp + (uint32_t)25U;
x1 = p;
y1 = p + (uint32_t)5U;
memcpy(tmp51, x1, (uint32_t)5U * sizeof (uint64_t));
fsum(tmp51, y1);
fsquare(tmp61, tmp51);
memcpy(tmp51, tmp31, (uint32_t)5U * sizeof (uint64_t));
Hacl_Bignum25519_reduce_513(tmp51);
Hacl_Bignum25519_fdifference(tmp61, tmp51);
Hacl_Bignum25519_fdifference(tmp21, tmp11);
Hacl_Bignum25519_reduce_513(tmp21);
Hacl_Bignum25519_reduce_513(tmp41);
fsum(tmp41, tmp21);
fmul0(x3, tmp4, tmp6);
fmul0(y3, tmp2, tmp3);
fmul0(t3, tmp6, tmp3);
fmul0(z3, tmp4, tmp2);
}
static void
swap_conditional_step(uint64_t *a_, uint64_t *b_, uint64_t *a, uint64_t *b, uint64_t swap)
{
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];
uint64_t x0 = (a0 ^ b0) & swap;
uint64_t x1 = (a1 ^ b1) & swap;
uint64_t x2 = (a2 ^ b2) & swap;
uint64_t x3 = (a3 ^ b3) & swap;
uint64_t x4 = (a4 ^ b4) & swap;
a_[0U] = a0 ^ x0;
b_[0U] = b0 ^ x0;
a_[1U] = a1 ^ x1;
b_[1U] = b1 ^ x1;
a_[2U] = a2 ^ x2;
b_[2U] = b2 ^ x2;
a_[3U] = a3 ^ x3;
b_[3U] = b3 ^ x3;
a_[4U] = a4 ^ x4;
b_[4U] = b4 ^ x4;
}
static void
swap_conditional(uint64_t *a_, uint64_t *b_, uint64_t *a, uint64_t *b, uint64_t iswap)
{
uint64_t swap = (uint64_t)0U - iswap;
swap_conditional_step(a_, b_, a, b, swap);
swap_conditional_step(a_ + (uint32_t)5U,
b_ + (uint32_t)5U,
a + (uint32_t)5U,
b + (uint32_t)5U,
swap);
swap_conditional_step(a_ + (uint32_t)10U,
b_ + (uint32_t)10U,
a + (uint32_t)10U,
b + (uint32_t)10U,
swap);
swap_conditional_step(a_ + (uint32_t)15U,
b_ + (uint32_t)15U,
a + (uint32_t)15U,
b + (uint32_t)15U,
swap);
}
static void swap_conditional_inplace(uint64_t *a, uint64_t *b, uint64_t iswap)
{
uint64_t swap = (uint64_t)0U - iswap;
swap_conditional_step(a, b, a, b, swap);
swap_conditional_step(a + (uint32_t)5U,
b + (uint32_t)5U,
a + (uint32_t)5U,
b + (uint32_t)5U,
swap);
swap_conditional_step(a + (uint32_t)10U,
b + (uint32_t)10U,
a + (uint32_t)10U,
b + (uint32_t)10U,
swap);
swap_conditional_step(a + (uint32_t)15U,
b + (uint32_t)15U,
a + (uint32_t)15U,
b + (uint32_t)15U,
swap);
}
void Hacl_Impl_Ed25519_Ladder_point_mul(uint64_t *result, uint8_t *scalar, uint64_t *q)
{
uint64_t b[80U] = { 0U };
uint64_t *nq = b;
uint64_t *nqpq = b + (uint32_t)20U;
uint64_t *x = nq;
uint64_t *y = nq + (uint32_t)5U;
uint64_t *z = nq + (uint32_t)10U;
uint64_t *t = nq + (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;
memcpy(nqpq, q, (uint32_t)20U * sizeof (uint64_t));
{
uint32_t i;
for (i = (uint32_t)0U; i < (uint32_t)256U; i++)
{
uint64_t *nq1 = b;
uint64_t *nqpq1 = b + (uint32_t)20U;
uint64_t *nq2 = b + (uint32_t)40U;
uint64_t *nqpq2 = b + (uint32_t)60U;
uint32_t q1 = ((uint32_t)255U - i) >> (uint32_t)3U;
uint32_t r = ((uint32_t)255U - i) & (uint32_t)7U;
uint8_t kq = scalar[q1];
uint8_t i1 = kq >> r & (uint8_t)1U;
swap_conditional_inplace(nq1, nqpq1, (uint64_t)i1);
point_double(nq2, nq1);
Hacl_Impl_Ed25519_PointAdd_point_add(nqpq2, nq1, nqpq1);
swap_conditional(nq1, nqpq1, nq2, nqpq2, (uint64_t)i1);
}
}
memcpy(result, nq, (uint32_t)20U * sizeof (uint64_t));
}
static void point_mul_g(uint64_t *result, uint8_t *scalar)
{
uint64_t g[20U] = { 0U };
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;
Hacl_Impl_Ed25519_Ladder_point_mul(result, scalar, g);
}
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;
uint64_t x0;
uint64_t b;
uint8_t xbyte;
uint8_t o31;
Hacl_Bignum25519_inverse(zinv1, pz);
fmul0(x1, px, zinv1);
reduce(x1);
fmul0(out1, py, zinv1);
Hacl_Bignum25519_reduce_513(out1);
x0 = x[0U];
b = x0 & (uint64_t)1U;
Hacl_Bignum25519_store_51(z, out);
xbyte = (uint8_t)b;
o31 = z[31U];
z[31U] = o31 + (xbyte << (uint32_t)7U);
}
static void secret_expand(uint8_t *expanded, uint8_t *secret)
{
uint8_t *h_low;
uint8_t h_low0;
uint8_t h_low31;
Hacl_Hash_SHA2_hash_512(secret, (uint32_t)32U, expanded);
h_low = expanded;
h_low0 = h_low[0U];
h_low31 = h_low[31U];
h_low[0U] = h_low0 & (uint8_t)0xf8U;
h_low[31U] = (h_low31 & (uint8_t)127U) | (uint8_t)64U;
}
static void secret_to_public(uint8_t *out, uint8_t *secret)
{
uint8_t expanded_secret[64U] = { 0U };
uint64_t res[20U] = { 0U };
uint8_t *a;
secret_expand(expanded_secret, secret);
a = expanded_secret;
point_mul_g(res, a);
Hacl_Impl_Ed25519_PointCompress_point_compress(out, res);
}
static 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);
uint64_t
t100 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z11, c00))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c10 = carry1;
FStar_UInt128_uint128
carry2 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z21, c10), (uint32_t)56U);
uint64_t
t101 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z21, c10))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c20 = carry2;
FStar_UInt128_uint128
carry3 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z31, c20), (uint32_t)56U);
uint64_t
t102 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z31, c20))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c30 = carry3;
FStar_UInt128_uint128
carry4 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z41, c30), (uint32_t)56U);
uint64_t
t103 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z41, c30))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c40 = carry4;
uint64_t t410 = t103;
FStar_UInt128_uint128
carry5 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z5, c40), (uint32_t)56U);
uint64_t
t104 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z5, c40))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c5 = carry5;
uint64_t t51 = t104;
FStar_UInt128_uint128
carry6 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z6, c5), (uint32_t)56U);
uint64_t
t105 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z6, c5))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c6 = carry6;
uint64_t t61 = t105;
FStar_UInt128_uint128
carry7 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z7, c6), (uint32_t)56U);
uint64_t
t106 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z7, c6))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c7 = carry7;
uint64_t t71 = t106;
FStar_UInt128_uint128
carry8 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z8, c7), (uint32_t)56U);
uint64_t
t107 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z8, c7))
& (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c8 = carry8;
uint64_t t81 = t107;
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 t108 = FStar_UInt128_uint128_to_uint64(xy00) & (uint64_t)0xffffffffffffffU;
FStar_UInt128_uint128 c0 = carry9;
uint64_t t010 = t108;
FStar_UInt128_uint128
carry10 =
FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy01, xy10), c0),
(uint32_t)56U);
uint64_t
t109 =
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 = t109;
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
t1010 =
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 = t1010;
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
t1011 =
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 = t1011;
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 t1012 = (b5 << (uint32_t)56U) + r0 - qmul0;
uint64_t c1 = b5;
uint64_t t011 = t1012;
uint64_t b6 = (r1 - (qmul1 + c1)) >> (uint32_t)63U;
uint64_t t1013 = (b6 << (uint32_t)56U) + r1 - (qmul1 + c1);
uint64_t c2 = b6;
uint64_t t111 = t1013;
uint64_t b7 = (r2 - (qmul2 + c2)) >> (uint32_t)63U;
uint64_t t1014 = (b7 << (uint32_t)56U) + r2 - (qmul2 + c2);
uint64_t c3 = b7;
uint64_t t211 = t1014;
uint64_t b8 = (r3 - (qmul3 + c3)) >> (uint32_t)63U;