761 lines
22 KiB
C
761 lines
22 KiB
C
/* Copyright (c) INRIA and Microsoft Corporation. All rights reserved.
|
|
Licensed under the Apache 2.0 License. */
|
|
|
|
/* This file was generated by KreMLin <https://github.com/FStarLang/kremlin>
|
|
* KreMLin invocation: /mnt/e/everest/verify/kremlin/krml -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -fbuiltin-uint128 -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -I /mnt/e/everest/verify/hacl-star/code/lib/kremlin -I /mnt/e/everest/verify/kremlin/kremlib/compat -I /mnt/e/everest/verify/hacl-star/specs -I /mnt/e/everest/verify/hacl-star/specs/old -I . -ccopt -march=native -verbose -ldopt -flto -tmpdir x25519-c -I ../bignum -bundle Hacl.Curve25519=* -minimal -add-include "kremlib.h" -skip-compilation x25519-c/out.krml -o x25519-c/Hacl_Curve25519.c
|
|
* F* version: 059db0c8
|
|
* KreMLin version: 916c37ac
|
|
*/
|
|
|
|
|
|
#include "Hacl_Curve25519.h"
|
|
|
|
extern uint64_t FStar_UInt64_eq_mask(uint64_t x0, uint64_t x1);
|
|
|
|
extern uint64_t FStar_UInt64_gte_mask(uint64_t x0, uint64_t x1);
|
|
|
|
extern uint128_t FStar_UInt128_add(uint128_t x0, uint128_t x1);
|
|
|
|
extern uint128_t FStar_UInt128_add_mod(uint128_t x0, uint128_t x1);
|
|
|
|
extern uint128_t FStar_UInt128_logand(uint128_t x0, uint128_t x1);
|
|
|
|
extern uint128_t FStar_UInt128_shift_right(uint128_t x0, uint32_t x1);
|
|
|
|
extern uint128_t FStar_UInt128_uint64_to_uint128(uint64_t x0);
|
|
|
|
extern uint64_t FStar_UInt128_uint128_to_uint64(uint128_t x0);
|
|
|
|
extern uint128_t FStar_UInt128_mul_wide(uint64_t x0, uint64_t x1);
|
|
|
|
static void Hacl_Bignum_Modulo_carry_top(uint64_t *b)
|
|
{
|
|
uint64_t b4 = b[4U];
|
|
uint64_t b0 = b[0U];
|
|
uint64_t b4_ = b4 & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t b0_ = b0 + (uint64_t)19U * (b4 >> (uint32_t)51U);
|
|
b[4U] = b4_;
|
|
b[0U] = b0_;
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t *output, uint128_t *input)
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
|
|
{
|
|
uint128_t xi = input[i];
|
|
output[i] = (uint64_t)xi;
|
|
}
|
|
}
|
|
|
|
inline static void
|
|
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(uint128_t *output, uint64_t *input, uint64_t s)
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
|
|
{
|
|
uint128_t xi = output[i];
|
|
uint64_t yi = input[i];
|
|
output[i] = xi + (uint128_t)yi * s;
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fproduct_carry_wide_(uint128_t *tmp)
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U)
|
|
{
|
|
uint32_t ctr = i;
|
|
uint128_t tctr = tmp[ctr];
|
|
uint128_t tctrp1 = tmp[ctr + (uint32_t)1U];
|
|
uint64_t r0 = (uint64_t)tctr & (uint64_t)0x7ffffffffffffU;
|
|
uint128_t c = tctr >> (uint32_t)51U;
|
|
tmp[ctr] = (uint128_t)r0;
|
|
tmp[ctr + (uint32_t)1U] = tctrp1 + c;
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fmul_shift_reduce(uint64_t *output)
|
|
{
|
|
uint64_t tmp = output[4U];
|
|
uint64_t b0;
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U)
|
|
{
|
|
uint32_t ctr = (uint32_t)5U - i - (uint32_t)1U;
|
|
uint64_t z = output[ctr - (uint32_t)1U];
|
|
output[ctr] = z;
|
|
}
|
|
}
|
|
output[0U] = tmp;
|
|
b0 = output[0U];
|
|
output[0U] = (uint64_t)19U * b0;
|
|
}
|
|
|
|
static void
|
|
Hacl_Bignum_Fmul_mul_shift_reduce_(uint128_t *output, uint64_t *input, uint64_t *input2)
|
|
{
|
|
uint32_t i;
|
|
uint64_t input2i;
|
|
{
|
|
uint32_t i0;
|
|
for (i0 = (uint32_t)0U; i0 < (uint32_t)4U; i0 = i0 + (uint32_t)1U)
|
|
{
|
|
uint64_t input2i0 = input2[i0];
|
|
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i0);
|
|
Hacl_Bignum_Fmul_shift_reduce(input);
|
|
}
|
|
}
|
|
i = (uint32_t)4U;
|
|
input2i = input2[i];
|
|
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i);
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fmul_fmul(uint64_t *output, uint64_t *input, uint64_t *input2)
|
|
{
|
|
uint64_t tmp[5U] = { 0U };
|
|
memcpy(tmp, input, (uint32_t)5U * sizeof input[0U]);
|
|
KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
|
|
{
|
|
uint128_t t[5U];
|
|
{
|
|
uint32_t _i;
|
|
for (_i = 0U; _i < (uint32_t)5U; ++_i)
|
|
t[_i] = (uint128_t)(uint64_t)0U;
|
|
}
|
|
{
|
|
uint128_t b4;
|
|
uint128_t b0;
|
|
uint128_t b4_;
|
|
uint128_t b0_;
|
|
uint64_t i0;
|
|
uint64_t i1;
|
|
uint64_t i0_;
|
|
uint64_t i1_;
|
|
Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input2);
|
|
Hacl_Bignum_Fproduct_carry_wide_(t);
|
|
b4 = t[4U];
|
|
b0 = t[0U];
|
|
b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
|
|
b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
|
|
t[4U] = b4_;
|
|
t[0U] = b0_;
|
|
Hacl_Bignum_Fproduct_copy_from_wide_(output, t);
|
|
i0 = output[0U];
|
|
i1 = output[1U];
|
|
i0_ = i0 & (uint64_t)0x7ffffffffffffU;
|
|
i1_ = i1 + (i0 >> (uint32_t)51U);
|
|
output[0U] = i0_;
|
|
output[1U] = i1_;
|
|
}
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fsquare_fsquare__(uint128_t *tmp, uint64_t *output)
|
|
{
|
|
uint64_t r0 = output[0U];
|
|
uint64_t r1 = output[1U];
|
|
uint64_t r2 = output[2U];
|
|
uint64_t r3 = output[3U];
|
|
uint64_t r4 = output[4U];
|
|
uint64_t d0 = r0 * (uint64_t)2U;
|
|
uint64_t d1 = r1 * (uint64_t)2U;
|
|
uint64_t d2 = r2 * (uint64_t)2U * (uint64_t)19U;
|
|
uint64_t d419 = r4 * (uint64_t)19U;
|
|
uint64_t d4 = d419 * (uint64_t)2U;
|
|
uint128_t s0 = (uint128_t)r0 * r0 + (uint128_t)d4 * r1 + (uint128_t)d2 * r3;
|
|
uint128_t s1 = (uint128_t)d0 * r1 + (uint128_t)d4 * r2 + (uint128_t)(r3 * (uint64_t)19U) * r3;
|
|
uint128_t s2 = (uint128_t)d0 * r2 + (uint128_t)r1 * r1 + (uint128_t)d4 * r3;
|
|
uint128_t s3 = (uint128_t)d0 * r3 + (uint128_t)d1 * r2 + (uint128_t)r4 * d419;
|
|
uint128_t s4 = (uint128_t)d0 * r4 + (uint128_t)d1 * r3 + (uint128_t)r2 * r2;
|
|
tmp[0U] = s0;
|
|
tmp[1U] = s1;
|
|
tmp[2U] = s2;
|
|
tmp[3U] = s3;
|
|
tmp[4U] = s4;
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fsquare_fsquare_(uint128_t *tmp, uint64_t *output)
|
|
{
|
|
uint128_t b4;
|
|
uint128_t b0;
|
|
uint128_t b4_;
|
|
uint128_t b0_;
|
|
uint64_t i0;
|
|
uint64_t i1;
|
|
uint64_t i0_;
|
|
uint64_t i1_;
|
|
Hacl_Bignum_Fsquare_fsquare__(tmp, output);
|
|
Hacl_Bignum_Fproduct_carry_wide_(tmp);
|
|
b4 = tmp[4U];
|
|
b0 = tmp[0U];
|
|
b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
|
|
b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
|
|
tmp[4U] = b4_;
|
|
tmp[0U] = b0_;
|
|
Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp);
|
|
i0 = output[0U];
|
|
i1 = output[1U];
|
|
i0_ = i0 & (uint64_t)0x7ffffffffffffU;
|
|
i1_ = i1 + (i0 >> (uint32_t)51U);
|
|
output[0U] = i0_;
|
|
output[1U] = i1_;
|
|
}
|
|
|
|
static void
|
|
Hacl_Bignum_Fsquare_fsquare_times_(uint64_t *input, uint128_t *tmp, uint32_t count1)
|
|
{
|
|
uint32_t i;
|
|
Hacl_Bignum_Fsquare_fsquare_(tmp, input);
|
|
for (i = (uint32_t)1U; i < count1; i = i + (uint32_t)1U)
|
|
Hacl_Bignum_Fsquare_fsquare_(tmp, input);
|
|
}
|
|
|
|
inline static void
|
|
Hacl_Bignum_Fsquare_fsquare_times(uint64_t *output, uint64_t *input, uint32_t count1)
|
|
{
|
|
KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
|
|
{
|
|
uint128_t t[5U];
|
|
{
|
|
uint32_t _i;
|
|
for (_i = 0U; _i < (uint32_t)5U; ++_i)
|
|
t[_i] = (uint128_t)(uint64_t)0U;
|
|
}
|
|
memcpy(output, input, (uint32_t)5U * sizeof input[0U]);
|
|
Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1);
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Fsquare_fsquare_times_inplace(uint64_t *output, uint32_t count1)
|
|
{
|
|
KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
|
|
{
|
|
uint128_t t[5U];
|
|
{
|
|
uint32_t _i;
|
|
for (_i = 0U; _i < (uint32_t)5U; ++_i)
|
|
t[_i] = (uint128_t)(uint64_t)0U;
|
|
}
|
|
Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1);
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_Crecip_crecip(uint64_t *out, uint64_t *z)
|
|
{
|
|
uint64_t buf[20U] = { 0U };
|
|
uint64_t *a0 = buf;
|
|
uint64_t *t00 = buf + (uint32_t)5U;
|
|
uint64_t *b0 = buf + (uint32_t)10U;
|
|
uint64_t *t01;
|
|
uint64_t *b1;
|
|
uint64_t *c0;
|
|
uint64_t *a;
|
|
uint64_t *t0;
|
|
uint64_t *b;
|
|
uint64_t *c;
|
|
Hacl_Bignum_Fsquare_fsquare_times(a0, z, (uint32_t)1U);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)2U);
|
|
Hacl_Bignum_Fmul_fmul(b0, t00, z);
|
|
Hacl_Bignum_Fmul_fmul(a0, b0, a0);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)1U);
|
|
Hacl_Bignum_Fmul_fmul(b0, t00, b0);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t00, b0, (uint32_t)5U);
|
|
t01 = buf + (uint32_t)5U;
|
|
b1 = buf + (uint32_t)10U;
|
|
c0 = buf + (uint32_t)15U;
|
|
Hacl_Bignum_Fmul_fmul(b1, t01, b1);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)10U);
|
|
Hacl_Bignum_Fmul_fmul(c0, t01, b1);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t01, c0, (uint32_t)20U);
|
|
Hacl_Bignum_Fmul_fmul(t01, t01, c0);
|
|
Hacl_Bignum_Fsquare_fsquare_times_inplace(t01, (uint32_t)10U);
|
|
Hacl_Bignum_Fmul_fmul(b1, t01, b1);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)50U);
|
|
a = buf;
|
|
t0 = buf + (uint32_t)5U;
|
|
b = buf + (uint32_t)10U;
|
|
c = buf + (uint32_t)15U;
|
|
Hacl_Bignum_Fmul_fmul(c, t0, b);
|
|
Hacl_Bignum_Fsquare_fsquare_times(t0, c, (uint32_t)100U);
|
|
Hacl_Bignum_Fmul_fmul(t0, t0, c);
|
|
Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)50U);
|
|
Hacl_Bignum_Fmul_fmul(t0, t0, b);
|
|
Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)5U);
|
|
Hacl_Bignum_Fmul_fmul(out, t0, a);
|
|
}
|
|
|
|
inline static void Hacl_Bignum_fsum(uint64_t *a, uint64_t *b)
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
|
|
{
|
|
uint64_t xi = a[i];
|
|
uint64_t yi = b[i];
|
|
a[i] = xi + yi;
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_fdifference(uint64_t *a, uint64_t *b)
|
|
{
|
|
uint64_t tmp[5U] = { 0U };
|
|
uint64_t b0;
|
|
uint64_t b1;
|
|
uint64_t b2;
|
|
uint64_t b3;
|
|
uint64_t b4;
|
|
memcpy(tmp, b, (uint32_t)5U * sizeof b[0U]);
|
|
b0 = tmp[0U];
|
|
b1 = tmp[1U];
|
|
b2 = tmp[2U];
|
|
b3 = tmp[3U];
|
|
b4 = tmp[4U];
|
|
tmp[0U] = b0 + (uint64_t)0x3fffffffffff68U;
|
|
tmp[1U] = b1 + (uint64_t)0x3ffffffffffff8U;
|
|
tmp[2U] = b2 + (uint64_t)0x3ffffffffffff8U;
|
|
tmp[3U] = b3 + (uint64_t)0x3ffffffffffff8U;
|
|
tmp[4U] = b4 + (uint64_t)0x3ffffffffffff8U;
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
|
|
{
|
|
uint64_t xi = a[i];
|
|
uint64_t yi = tmp[i];
|
|
a[i] = yi - xi;
|
|
}
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_fscalar(uint64_t *output, uint64_t *b, uint64_t s)
|
|
{
|
|
KRML_CHECK_SIZE(sizeof (uint128_t), (uint32_t)5U);
|
|
{
|
|
uint128_t tmp[5U];
|
|
{
|
|
uint32_t _i;
|
|
for (_i = 0U; _i < (uint32_t)5U; ++_i)
|
|
tmp[_i] = (uint128_t)(uint64_t)0U;
|
|
}
|
|
{
|
|
uint128_t b4;
|
|
uint128_t b0;
|
|
uint128_t b4_;
|
|
uint128_t b0_;
|
|
{
|
|
uint32_t i;
|
|
for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U)
|
|
{
|
|
uint64_t xi = b[i];
|
|
tmp[i] = (uint128_t)xi * s;
|
|
}
|
|
}
|
|
Hacl_Bignum_Fproduct_carry_wide_(tmp);
|
|
b4 = tmp[4U];
|
|
b0 = tmp[0U];
|
|
b4_ = b4 & (uint128_t)(uint64_t)0x7ffffffffffffU;
|
|
b0_ = b0 + (uint128_t)(uint64_t)19U * (uint64_t)(b4 >> (uint32_t)51U);
|
|
tmp[4U] = b4_;
|
|
tmp[0U] = b0_;
|
|
Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp);
|
|
}
|
|
}
|
|
}
|
|
|
|
inline static void Hacl_Bignum_fmul(uint64_t *output, uint64_t *a, uint64_t *b)
|
|
{
|
|
Hacl_Bignum_Fmul_fmul(output, a, b);
|
|
}
|
|
|
|
inline static void Hacl_Bignum_crecip(uint64_t *output, uint64_t *input)
|
|
{
|
|
Hacl_Bignum_Crecip_crecip(output, input);
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Point_swap_conditional_step(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
|
|
{
|
|
uint32_t i = ctr - (uint32_t)1U;
|
|
uint64_t ai = a[i];
|
|
uint64_t bi = b[i];
|
|
uint64_t x = swap1 & (ai ^ bi);
|
|
uint64_t ai1 = ai ^ x;
|
|
uint64_t bi1 = bi ^ x;
|
|
a[i] = ai1;
|
|
b[i] = bi1;
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Point_swap_conditional_(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
|
|
{
|
|
if (!(ctr == (uint32_t)0U))
|
|
{
|
|
uint32_t i;
|
|
Hacl_EC_Point_swap_conditional_step(a, b, swap1, ctr);
|
|
i = ctr - (uint32_t)1U;
|
|
Hacl_EC_Point_swap_conditional_(a, b, swap1, i);
|
|
}
|
|
}
|
|
|
|
static void Hacl_EC_Point_swap_conditional(uint64_t *a, uint64_t *b, uint64_t iswap)
|
|
{
|
|
uint64_t swap1 = (uint64_t)0U - iswap;
|
|
Hacl_EC_Point_swap_conditional_(a, b, swap1, (uint32_t)5U);
|
|
Hacl_EC_Point_swap_conditional_(a + (uint32_t)5U, b + (uint32_t)5U, swap1, (uint32_t)5U);
|
|
}
|
|
|
|
static void Hacl_EC_Point_copy(uint64_t *output, uint64_t *input)
|
|
{
|
|
memcpy(output, input, (uint32_t)5U * sizeof input[0U]);
|
|
memcpy(output + (uint32_t)5U,
|
|
input + (uint32_t)5U,
|
|
(uint32_t)5U * sizeof (input + (uint32_t)5U)[0U]);
|
|
}
|
|
|
|
static void Hacl_EC_Format_fexpand(uint64_t *output, uint8_t *input)
|
|
{
|
|
uint64_t i0 = load64_le(input);
|
|
uint8_t *x00 = input + (uint32_t)6U;
|
|
uint64_t i1 = load64_le(x00);
|
|
uint8_t *x01 = input + (uint32_t)12U;
|
|
uint64_t i2 = load64_le(x01);
|
|
uint8_t *x02 = input + (uint32_t)19U;
|
|
uint64_t i3 = load64_le(x02);
|
|
uint8_t *x0 = input + (uint32_t)24U;
|
|
uint64_t i4 = load64_le(x0);
|
|
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 Hacl_EC_Format_fcontract_first_carry_pass(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 t1_ = t1 + (t0 >> (uint32_t)51U);
|
|
uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U);
|
|
uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U);
|
|
uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U);
|
|
uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU;
|
|
input[0U] = t0_;
|
|
input[1U] = t1__;
|
|
input[2U] = t2__;
|
|
input[3U] = t3__;
|
|
input[4U] = t4_;
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract_first_carry_full(uint64_t *input)
|
|
{
|
|
Hacl_EC_Format_fcontract_first_carry_pass(input);
|
|
Hacl_Bignum_Modulo_carry_top(input);
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract_second_carry_pass(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 t1_ = t1 + (t0 >> (uint32_t)51U);
|
|
uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U);
|
|
uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U);
|
|
uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU;
|
|
uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U);
|
|
uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU;
|
|
input[0U] = t0_;
|
|
input[1U] = t1__;
|
|
input[2U] = t2__;
|
|
input[3U] = t3__;
|
|
input[4U] = t4_;
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract_second_carry_full(uint64_t *input)
|
|
{
|
|
uint64_t i0;
|
|
uint64_t i1;
|
|
uint64_t i0_;
|
|
uint64_t i1_;
|
|
Hacl_EC_Format_fcontract_second_carry_pass(input);
|
|
Hacl_Bignum_Modulo_carry_top(input);
|
|
i0 = input[0U];
|
|
i1 = input[1U];
|
|
i0_ = i0 & (uint64_t)0x7ffffffffffffU;
|
|
i1_ = i1 + (i0 >> (uint32_t)51U);
|
|
input[0U] = i0_;
|
|
input[1U] = i1_;
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract_trim(uint64_t *input)
|
|
{
|
|
uint64_t a0 = input[0U];
|
|
uint64_t a1 = input[1U];
|
|
uint64_t a2 = input[2U];
|
|
uint64_t a3 = input[3U];
|
|
uint64_t a4 = input[4U];
|
|
uint64_t mask0 = FStar_UInt64_gte_mask(a0, (uint64_t)0x7ffffffffffedU);
|
|
uint64_t mask1 = FStar_UInt64_eq_mask(a1, (uint64_t)0x7ffffffffffffU);
|
|
uint64_t mask2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x7ffffffffffffU);
|
|
uint64_t mask3 = FStar_UInt64_eq_mask(a3, (uint64_t)0x7ffffffffffffU);
|
|
uint64_t mask4 = FStar_UInt64_eq_mask(a4, (uint64_t)0x7ffffffffffffU);
|
|
uint64_t mask = (((mask0 & mask1) & mask2) & mask3) & mask4;
|
|
uint64_t a0_ = a0 - ((uint64_t)0x7ffffffffffedU & mask);
|
|
uint64_t a1_ = a1 - ((uint64_t)0x7ffffffffffffU & mask);
|
|
uint64_t a2_ = a2 - ((uint64_t)0x7ffffffffffffU & mask);
|
|
uint64_t a3_ = a3 - ((uint64_t)0x7ffffffffffffU & mask);
|
|
uint64_t a4_ = a4 - ((uint64_t)0x7ffffffffffffU & mask);
|
|
input[0U] = a0_;
|
|
input[1U] = a1_;
|
|
input[2U] = a2_;
|
|
input[3U] = a3_;
|
|
input[4U] = a4_;
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract_store(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 o0 = t1 << (uint32_t)51U | t0;
|
|
uint64_t o1 = t2 << (uint32_t)38U | t1 >> (uint32_t)13U;
|
|
uint64_t o2 = t3 << (uint32_t)25U | t2 >> (uint32_t)26U;
|
|
uint64_t o3 = t4 << (uint32_t)12U | t3 >> (uint32_t)39U;
|
|
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(b0, o0);
|
|
store64_le(b1, o1);
|
|
store64_le(b2, o2);
|
|
store64_le(b3, o3);
|
|
}
|
|
|
|
static void Hacl_EC_Format_fcontract(uint8_t *output, uint64_t *input)
|
|
{
|
|
Hacl_EC_Format_fcontract_first_carry_full(input);
|
|
Hacl_EC_Format_fcontract_second_carry_full(input);
|
|
Hacl_EC_Format_fcontract_trim(input);
|
|
Hacl_EC_Format_fcontract_store(output, input);
|
|
}
|
|
|
|
static void Hacl_EC_Format_scalar_of_point(uint8_t *scalar, uint64_t *point)
|
|
{
|
|
uint64_t *x = point;
|
|
uint64_t *z = point + (uint32_t)5U;
|
|
uint64_t buf[10U] = { 0U };
|
|
uint64_t *zmone = buf;
|
|
uint64_t *sc = buf + (uint32_t)5U;
|
|
Hacl_Bignum_crecip(zmone, z);
|
|
Hacl_Bignum_fmul(sc, x, zmone);
|
|
Hacl_EC_Format_fcontract(scalar, sc);
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_AddAndDouble_fmonty(
|
|
uint64_t *pp,
|
|
uint64_t *ppq,
|
|
uint64_t *p,
|
|
uint64_t *pq,
|
|
uint64_t *qmqp
|
|
)
|
|
{
|
|
uint64_t *qx = qmqp;
|
|
uint64_t *x2 = pp;
|
|
uint64_t *z2 = pp + (uint32_t)5U;
|
|
uint64_t *x3 = ppq;
|
|
uint64_t *z3 = ppq + (uint32_t)5U;
|
|
uint64_t *x = p;
|
|
uint64_t *z = p + (uint32_t)5U;
|
|
uint64_t *xprime = pq;
|
|
uint64_t *zprime = pq + (uint32_t)5U;
|
|
uint64_t buf[40U] = { 0U };
|
|
uint64_t *origx = buf;
|
|
uint64_t *origxprime0 = buf + (uint32_t)5U;
|
|
uint64_t *xxprime0 = buf + (uint32_t)25U;
|
|
uint64_t *zzprime0 = buf + (uint32_t)30U;
|
|
uint64_t *origxprime;
|
|
uint64_t *xx0;
|
|
uint64_t *zz0;
|
|
uint64_t *xxprime;
|
|
uint64_t *zzprime;
|
|
uint64_t *zzzprime;
|
|
uint64_t *zzz;
|
|
uint64_t *xx;
|
|
uint64_t *zz;
|
|
uint64_t scalar;
|
|
memcpy(origx, x, (uint32_t)5U * sizeof x[0U]);
|
|
Hacl_Bignum_fsum(x, z);
|
|
Hacl_Bignum_fdifference(z, origx);
|
|
memcpy(origxprime0, xprime, (uint32_t)5U * sizeof xprime[0U]);
|
|
Hacl_Bignum_fsum(xprime, zprime);
|
|
Hacl_Bignum_fdifference(zprime, origxprime0);
|
|
Hacl_Bignum_fmul(xxprime0, xprime, z);
|
|
Hacl_Bignum_fmul(zzprime0, x, zprime);
|
|
origxprime = buf + (uint32_t)5U;
|
|
xx0 = buf + (uint32_t)15U;
|
|
zz0 = buf + (uint32_t)20U;
|
|
xxprime = buf + (uint32_t)25U;
|
|
zzprime = buf + (uint32_t)30U;
|
|
zzzprime = buf + (uint32_t)35U;
|
|
memcpy(origxprime, xxprime, (uint32_t)5U * sizeof xxprime[0U]);
|
|
Hacl_Bignum_fsum(xxprime, zzprime);
|
|
Hacl_Bignum_fdifference(zzprime, origxprime);
|
|
Hacl_Bignum_Fsquare_fsquare_times(x3, xxprime, (uint32_t)1U);
|
|
Hacl_Bignum_Fsquare_fsquare_times(zzzprime, zzprime, (uint32_t)1U);
|
|
Hacl_Bignum_fmul(z3, zzzprime, qx);
|
|
Hacl_Bignum_Fsquare_fsquare_times(xx0, x, (uint32_t)1U);
|
|
Hacl_Bignum_Fsquare_fsquare_times(zz0, z, (uint32_t)1U);
|
|
zzz = buf + (uint32_t)10U;
|
|
xx = buf + (uint32_t)15U;
|
|
zz = buf + (uint32_t)20U;
|
|
Hacl_Bignum_fmul(x2, xx, zz);
|
|
Hacl_Bignum_fdifference(zz, xx);
|
|
scalar = (uint64_t)121665U;
|
|
Hacl_Bignum_fscalar(zzz, zz, scalar);
|
|
Hacl_Bignum_fsum(zzz, xx);
|
|
Hacl_Bignum_fmul(z2, zzz, zz);
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(
|
|
uint64_t *nq,
|
|
uint64_t *nqpq,
|
|
uint64_t *nq2,
|
|
uint64_t *nqpq2,
|
|
uint64_t *q,
|
|
uint8_t byt
|
|
)
|
|
{
|
|
uint64_t bit0 = (uint64_t)(byt >> (uint32_t)7U);
|
|
uint64_t bit;
|
|
Hacl_EC_Point_swap_conditional(nq, nqpq, bit0);
|
|
Hacl_EC_AddAndDouble_fmonty(nq2, nqpq2, nq, nqpq, q);
|
|
bit = (uint64_t)(byt >> (uint32_t)7U);
|
|
Hacl_EC_Point_swap_conditional(nq2, nqpq2, bit);
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(
|
|
uint64_t *nq,
|
|
uint64_t *nqpq,
|
|
uint64_t *nq2,
|
|
uint64_t *nqpq2,
|
|
uint64_t *q,
|
|
uint8_t byt
|
|
)
|
|
{
|
|
uint8_t byt1;
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt);
|
|
byt1 = byt << (uint32_t)1U;
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq2, nqpq2, nq, nqpq, q, byt1);
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop(
|
|
uint64_t *nq,
|
|
uint64_t *nqpq,
|
|
uint64_t *nq2,
|
|
uint64_t *nqpq2,
|
|
uint64_t *q,
|
|
uint8_t byt,
|
|
uint32_t i
|
|
)
|
|
{
|
|
if (!(i == (uint32_t)0U))
|
|
{
|
|
uint32_t i_ = i - (uint32_t)1U;
|
|
uint8_t byt_;
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt);
|
|
byt_ = byt << (uint32_t)2U;
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byt_, i_);
|
|
}
|
|
}
|
|
|
|
static void
|
|
Hacl_EC_Ladder_BigLoop_cmult_big_loop(
|
|
uint8_t *n1,
|
|
uint64_t *nq,
|
|
uint64_t *nqpq,
|
|
uint64_t *nq2,
|
|
uint64_t *nqpq2,
|
|
uint64_t *q,
|
|
uint32_t i
|
|
)
|
|
{
|
|
if (!(i == (uint32_t)0U))
|
|
{
|
|
uint32_t i1 = i - (uint32_t)1U;
|
|
uint8_t byte = n1[i1];
|
|
Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byte, (uint32_t)4U);
|
|
Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, i1);
|
|
}
|
|
}
|
|
|
|
static void Hacl_EC_Ladder_cmult(uint64_t *result, uint8_t *n1, uint64_t *q)
|
|
{
|
|
uint64_t point_buf[40U] = { 0U };
|
|
uint64_t *nq = point_buf;
|
|
uint64_t *nqpq = point_buf + (uint32_t)10U;
|
|
uint64_t *nq2 = point_buf + (uint32_t)20U;
|
|
uint64_t *nqpq2 = point_buf + (uint32_t)30U;
|
|
Hacl_EC_Point_copy(nqpq, q);
|
|
nq[0U] = (uint64_t)1U;
|
|
Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, (uint32_t)32U);
|
|
Hacl_EC_Point_copy(result, nq);
|
|
}
|
|
|
|
void Hacl_Curve25519_crypto_scalarmult(uint8_t *mypublic, uint8_t *secret, uint8_t *basepoint)
|
|
{
|
|
uint64_t buf0[10U] = { 0U };
|
|
uint64_t *x0 = buf0;
|
|
uint64_t *z = buf0 + (uint32_t)5U;
|
|
uint64_t *q;
|
|
Hacl_EC_Format_fexpand(x0, basepoint);
|
|
z[0U] = (uint64_t)1U;
|
|
q = buf0;
|
|
{
|
|
uint8_t e[32U] = { 0U };
|
|
uint8_t e0;
|
|
uint8_t e31;
|
|
uint8_t e01;
|
|
uint8_t e311;
|
|
uint8_t e312;
|
|
uint8_t *scalar;
|
|
memcpy(e, secret, (uint32_t)32U * sizeof secret[0U]);
|
|
e0 = e[0U];
|
|
e31 = e[31U];
|
|
e01 = e0 & (uint8_t)248U;
|
|
e311 = e31 & (uint8_t)127U;
|
|
e312 = e311 | (uint8_t)64U;
|
|
e[0U] = e01;
|
|
e[31U] = e312;
|
|
scalar = e;
|
|
{
|
|
uint64_t buf[15U] = { 0U };
|
|
uint64_t *nq = buf;
|
|
uint64_t *x = nq;
|
|
x[0U] = (uint64_t)1U;
|
|
Hacl_EC_Ladder_cmult(nq, scalar, q);
|
|
Hacl_EC_Format_scalar_of_point(mypublic, nq);
|
|
}
|
|
}
|
|
}
|
|
|