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/* MIT License
*
* Copyright (c) 2016-2022 INRIA, CMU and Microsoft Corporation
* Copyright (c) 2022-2023 HACL* Contributors
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
#include "Hacl_Curve25519_64.h"
#include "internal/Vale.h"
#include "internal/Hacl_Krmllib.h"
#include "config.h"
#include "curve25519-inline.h"
static inline void
add_scalar0(uint64_t *out, uint64_t *f1, uint64_t f2)
{
#if HACL_CAN_COMPILE_INLINE_ASM
add_scalar(out, f1, f2);
#else
KRML_HOST_IGNORE(add_scalar_e(out, f1, f2));
#endif
}
static inline void
fadd0(uint64_t *out, uint64_t *f1, uint64_t *f2)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fadd(out, f1, f2);
#else
KRML_HOST_IGNORE(fadd_e(out, f1, f2));
#endif
}
static inline void
fsub0(uint64_t *out, uint64_t *f1, uint64_t *f2)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fsub(out, f1, f2);
#else
KRML_HOST_IGNORE(fsub_e(out, f1, f2));
#endif
}
static inline void
fmul0(uint64_t *out, uint64_t *f1, uint64_t *f2, uint64_t *tmp)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fmul(out, f1, f2, tmp);
#else
KRML_HOST_IGNORE(fmul_e(tmp, f1, out, f2));
#endif
}
static inline void
fmul20(uint64_t *out, uint64_t *f1, uint64_t *f2, uint64_t *tmp)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fmul2(out, f1, f2, tmp);
#else
KRML_HOST_IGNORE(fmul2_e(tmp, f1, out, f2));
#endif
}
static inline void
fmul_scalar0(uint64_t *out, uint64_t *f1, uint64_t f2)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fmul_scalar(out, f1, f2);
#else
KRML_HOST_IGNORE(fmul_scalar_e(out, f1, f2));
#endif
}
static inline void
fsqr0(uint64_t *out, uint64_t *f1, uint64_t *tmp)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fsqr(out, f1, tmp);
#else
KRML_HOST_IGNORE(fsqr_e(tmp, f1, out));
#endif
}
static inline void
fsqr20(uint64_t *out, uint64_t *f, uint64_t *tmp)
{
#if HACL_CAN_COMPILE_INLINE_ASM
fsqr2(out, f, tmp);
#else
KRML_HOST_IGNORE(fsqr2_e(tmp, f, out));
#endif
}
static inline void
cswap20(uint64_t bit, uint64_t *p1, uint64_t *p2)
{
#if HACL_CAN_COMPILE_INLINE_ASM
cswap2(bit, p1, p2);
#else
KRML_HOST_IGNORE(cswap2_e(bit, p1, p2));
#endif
}
static const uint8_t g25519[32U] = { (uint8_t)9U };
static void
point_add_and_double(uint64_t *q, uint64_t *p01_tmp1, uint64_t *tmp2)
{
uint64_t *nq = p01_tmp1;
uint64_t *nq_p1 = p01_tmp1 + (uint32_t)8U;
uint64_t *tmp1 = p01_tmp1 + (uint32_t)16U;
uint64_t *x1 = q;
uint64_t *x2 = nq;
uint64_t *z2 = nq + (uint32_t)4U;
uint64_t *z3 = nq_p1 + (uint32_t)4U;
uint64_t *a = tmp1;
uint64_t *b = tmp1 + (uint32_t)4U;
uint64_t *ab = tmp1;
uint64_t *dc = tmp1 + (uint32_t)8U;
fadd0(a, x2, z2);
fsub0(b, x2, z2);
uint64_t *x3 = nq_p1;
uint64_t *z31 = nq_p1 + (uint32_t)4U;
uint64_t *d0 = dc;
uint64_t *c0 = dc + (uint32_t)4U;
fadd0(c0, x3, z31);
fsub0(d0, x3, z31);
fmul20(dc, dc, ab, tmp2);
fadd0(x3, d0, c0);
fsub0(z31, d0, c0);
uint64_t *a1 = tmp1;
uint64_t *b1 = tmp1 + (uint32_t)4U;
uint64_t *d = tmp1 + (uint32_t)8U;
uint64_t *c = tmp1 + (uint32_t)12U;
uint64_t *ab1 = tmp1;
uint64_t *dc1 = tmp1 + (uint32_t)8U;
fsqr20(dc1, ab1, tmp2);
fsqr20(nq_p1, nq_p1, tmp2);
a1[0U] = c[0U];
a1[1U] = c[1U];
a1[2U] = c[2U];
a1[3U] = c[3U];
fsub0(c, d, c);
fmul_scalar0(b1, c, (uint64_t)121665U);
fadd0(b1, b1, d);
fmul20(nq, dc1, ab1, tmp2);
fmul0(z3, z3, x1, tmp2);
}
static void
point_double(uint64_t *nq, uint64_t *tmp1, uint64_t *tmp2)
{
uint64_t *x2 = nq;
uint64_t *z2 = nq + (uint32_t)4U;
uint64_t *a = tmp1;
uint64_t *b = tmp1 + (uint32_t)4U;
uint64_t *d = tmp1 + (uint32_t)8U;
uint64_t *c = tmp1 + (uint32_t)12U;
uint64_t *ab = tmp1;
uint64_t *dc = tmp1 + (uint32_t)8U;
fadd0(a, x2, z2);
fsub0(b, x2, z2);
fsqr20(dc, ab, tmp2);
a[0U] = c[0U];
a[1U] = c[1U];
a[2U] = c[2U];
a[3U] = c[3U];
fsub0(c, d, c);
fmul_scalar0(b, c, (uint64_t)121665U);
fadd0(b, b, d);
fmul20(nq, dc, ab, tmp2);
}
static void
montgomery_ladder(uint64_t *out, uint8_t *key, uint64_t *init)
{
uint64_t tmp2[16U] = { 0U };
uint64_t p01_tmp1_swap[33U] = { 0U };
uint64_t *p0 = p01_tmp1_swap;
uint64_t *p01 = p01_tmp1_swap;
uint64_t *p03 = p01;
uint64_t *p11 = p01 + (uint32_t)8U;
memcpy(p11, init, (uint32_t)8U * sizeof(uint64_t));
uint64_t *x0 = p03;
uint64_t *z0 = p03 + (uint32_t)4U;
x0[0U] = (uint64_t)1U;
x0[1U] = (uint64_t)0U;
x0[2U] = (uint64_t)0U;
x0[3U] = (uint64_t)0U;
z0[0U] = (uint64_t)0U;
z0[1U] = (uint64_t)0U;
z0[2U] = (uint64_t)0U;
z0[3U] = (uint64_t)0U;
uint64_t *p01_tmp1 = p01_tmp1_swap;
uint64_t *p01_tmp11 = p01_tmp1_swap;
uint64_t *nq1 = p01_tmp1_swap;
uint64_t *nq_p11 = p01_tmp1_swap + (uint32_t)8U;
uint64_t *swap = p01_tmp1_swap + (uint32_t)32U;
cswap20((uint64_t)1U, nq1, nq_p11);
point_add_and_double(init, p01_tmp11, tmp2);
swap[0U] = (uint64_t)1U;
for (uint32_t i = (uint32_t)0U; i < (uint32_t)251U; i++) {
uint64_t *p01_tmp12 = p01_tmp1_swap;
uint64_t *swap1 = p01_tmp1_swap + (uint32_t)32U;
uint64_t *nq2 = p01_tmp12;
uint64_t *nq_p12 = p01_tmp12 + (uint32_t)8U;
uint64_t
bit =
(uint64_t)(key[((uint32_t)253U - i) / (uint32_t)8U] >> ((uint32_t)253U - i) % (uint32_t)8U & (uint8_t)1U);
uint64_t sw = swap1[0U] ^ bit;
cswap20(sw, nq2, nq_p12);
point_add_and_double(init, p01_tmp12, tmp2);
swap1[0U] = bit;
}
uint64_t sw = swap[0U];
cswap20(sw, nq1, nq_p11);
uint64_t *nq10 = p01_tmp1;
uint64_t *tmp1 = p01_tmp1 + (uint32_t)16U;
point_double(nq10, tmp1, tmp2);
point_double(nq10, tmp1, tmp2);
point_double(nq10, tmp1, tmp2);
memcpy(out, p0, (uint32_t)8U * sizeof(uint64_t));
}
static void
fsquare_times(uint64_t *o, uint64_t *inp, uint64_t *tmp, uint32_t n)
{
fsqr0(o, inp, tmp);
for (uint32_t i = (uint32_t)0U; i < n - (uint32_t)1U; i++) {
fsqr0(o, o, tmp);
}
}
static void
finv(uint64_t *o, uint64_t *i, uint64_t *tmp)
{
uint64_t t1[16U] = { 0U };
uint64_t *a1 = t1;
uint64_t *b1 = t1 + (uint32_t)4U;
uint64_t *t010 = t1 + (uint32_t)12U;
uint64_t *tmp10 = tmp;
fsquare_times(a1, i, tmp10, (uint32_t)1U);
fsquare_times(t010, a1, tmp10, (uint32_t)2U);
fmul0(b1, t010, i, tmp);
fmul0(a1, b1, a1, tmp);
fsquare_times(t010, a1, tmp10, (uint32_t)1U);
fmul0(b1, t010, b1, tmp);
fsquare_times(t010, b1, tmp10, (uint32_t)5U);
fmul0(b1, t010, b1, tmp);
uint64_t *b10 = t1 + (uint32_t)4U;
uint64_t *c10 = t1 + (uint32_t)8U;
uint64_t *t011 = t1 + (uint32_t)12U;
uint64_t *tmp11 = tmp;
fsquare_times(t011, b10, tmp11, (uint32_t)10U);
fmul0(c10, t011, b10, tmp);
fsquare_times(t011, c10, tmp11, (uint32_t)20U);
fmul0(t011, t011, c10, tmp);
fsquare_times(t011, t011, tmp11, (uint32_t)10U);
fmul0(b10, t011, b10, tmp);
fsquare_times(t011, b10, tmp11, (uint32_t)50U);
fmul0(c10, t011, b10, tmp);
uint64_t *b11 = t1 + (uint32_t)4U;
uint64_t *c1 = t1 + (uint32_t)8U;
uint64_t *t01 = t1 + (uint32_t)12U;
uint64_t *tmp1 = tmp;
fsquare_times(t01, c1, tmp1, (uint32_t)100U);
fmul0(t01, t01, c1, tmp);
fsquare_times(t01, t01, tmp1, (uint32_t)50U);
fmul0(t01, t01, b11, tmp);
fsquare_times(t01, t01, tmp1, (uint32_t)5U);
uint64_t *a = t1;
uint64_t *t0 = t1 + (uint32_t)12U;
fmul0(o, t0, a, tmp);
}
static void
store_felem(uint64_t *b, uint64_t *f)
{
uint64_t f30 = f[3U];
uint64_t top_bit0 = f30 >> (uint32_t)63U;
f[3U] = f30 & (uint64_t)0x7fffffffffffffffU;
add_scalar0(f, f, (uint64_t)19U * top_bit0);
uint64_t f31 = f[3U];
uint64_t top_bit = f31 >> (uint32_t)63U;
f[3U] = f31 & (uint64_t)0x7fffffffffffffffU;
add_scalar0(f, f, (uint64_t)19U * top_bit);
uint64_t f0 = f[0U];
uint64_t f1 = f[1U];
uint64_t f2 = f[2U];
uint64_t f3 = f[3U];
uint64_t m0 = FStar_UInt64_gte_mask(f0, (uint64_t)0xffffffffffffffedU);
uint64_t m1 = FStar_UInt64_eq_mask(f1, (uint64_t)0xffffffffffffffffU);
uint64_t m2 = FStar_UInt64_eq_mask(f2, (uint64_t)0xffffffffffffffffU);
uint64_t m3 = FStar_UInt64_eq_mask(f3, (uint64_t)0x7fffffffffffffffU);
uint64_t mask = ((m0 & m1) & m2) & m3;
uint64_t f0_ = f0 - (mask & (uint64_t)0xffffffffffffffedU);
uint64_t f1_ = f1 - (mask & (uint64_t)0xffffffffffffffffU);
uint64_t f2_ = f2 - (mask & (uint64_t)0xffffffffffffffffU);
uint64_t f3_ = f3 - (mask & (uint64_t)0x7fffffffffffffffU);
uint64_t o0 = f0_;
uint64_t o1 = f1_;
uint64_t o2 = f2_;
uint64_t o3 = f3_;
b[0U] = o0;
b[1U] = o1;
b[2U] = o2;
b[3U] = o3;
}
static void
encode_point(uint8_t *o, uint64_t *i)
{
uint64_t *x = i;
uint64_t *z = i + (uint32_t)4U;
uint64_t tmp[4U] = { 0U };
uint64_t u64s[4U] = { 0U };
uint64_t tmp_w[16U] = { 0U };
finv(tmp, z, tmp_w);
fmul0(tmp, tmp, x, tmp_w);
store_felem(u64s, tmp);
KRML_MAYBE_FOR4(i0,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
store64_le(o + i0 * (uint32_t)8U, u64s[i0]););
}
/**
Compute the scalar multiple of a point.
@param out Pointer to 32 bytes of memory, allocated by the caller, where the resulting point is written to.
@param priv Pointer to 32 bytes of memory where the secret/private key is read from.
@param pub Pointer to 32 bytes of memory where the public point is read from.
*/
void
Hacl_Curve25519_64_scalarmult(uint8_t *out, uint8_t *priv, uint8_t *pub)
{
uint64_t init[8U] = { 0U };
uint64_t tmp[4U] = { 0U };
KRML_MAYBE_FOR4(i,
(uint32_t)0U,
(uint32_t)4U,
(uint32_t)1U,
uint64_t *os = tmp;
uint8_t *bj = pub + i * (uint32_t)8U;
uint64_t u = load64_le(bj);
uint64_t r = u;
uint64_t x = r;
os[i] = x;);
uint64_t tmp3 = tmp[3U];
tmp[3U] = tmp3 & (uint64_t)0x7fffffffffffffffU;
uint64_t *x = init;
uint64_t *z = init + (uint32_t)4U;
z[0U] = (uint64_t)1U;
z[1U] = (uint64_t)0U;
z[2U] = (uint64_t)0U;
z[3U] = (uint64_t)0U;
x[0U] = tmp[0U];
x[1U] = tmp[1U];
x[2U] = tmp[2U];
x[3U] = tmp[3U];
montgomery_ladder(init, priv, init);
encode_point(out, init);
}
/**
Calculate a public point from a secret/private key.
This computes a scalar multiplication of the secret/private key with the curve's basepoint.
@param pub Pointer to 32 bytes of memory, allocated by the caller, where the resulting point is written to.
@param priv Pointer to 32 bytes of memory where the secret/private key is read from.
*/
void
Hacl_Curve25519_64_secret_to_public(uint8_t *pub, uint8_t *priv)
{
uint8_t basepoint[32U] = { 0U };
for (uint32_t i = (uint32_t)0U; i < (uint32_t)32U; i++) {
uint8_t *os = basepoint;
uint8_t x = g25519[i];
os[i] = x;
}
Hacl_Curve25519_64_scalarmult(pub, priv, basepoint);
}
/**
Execute the diffie-hellmann key exchange.
@param out Pointer to 32 bytes of memory, allocated by the caller, where the resulting point is written to.
@param priv Pointer to 32 bytes of memory where **our** secret/private key is read from.
@param pub Pointer to 32 bytes of memory where **their** public point is read from.
*/
bool
Hacl_Curve25519_64_ecdh(uint8_t *out, uint8_t *priv, uint8_t *pub)
{
uint8_t zeros[32U] = { 0U };
Hacl_Curve25519_64_scalarmult(out, priv, pub);
uint8_t res = (uint8_t)255U;
for (uint32_t i = (uint32_t)0U; i < (uint32_t)32U; i++) {
uint8_t uu____0 = FStar_UInt8_eq_mask(out[i], zeros[i]);
res = uu____0 & res;
}
uint8_t z = res;
bool r = z == (uint8_t)255U;
return !r;
}