/* 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_Curve25519_64.h" inline static uint64_t Hacl_Impl_Curve25519_Field64_Vale_add1(uint64_t *out1, uint64_t *f1, uint64_t f2) { #if EVERCRYPT_TARGETCONFIG_GCC return add1_inline(out1, f1, f2); #else uint64_t scrut = add1(out1, f1, f2); return scrut; #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fadd(uint64_t *out1, uint64_t *f1, uint64_t *f2) { #if EVERCRYPT_TARGETCONFIG_GCC fadd_inline(out1, f1, f2); #else uint64_t uu____0 = fadd_(out1, f1, f2); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fsub(uint64_t *out1, uint64_t *f1, uint64_t *f2) { #if EVERCRYPT_TARGETCONFIG_GCC fsub_inline(out1, f1, f2); #else uint64_t uu____0 = fsub_(out1, f1, f2); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fmul( uint64_t *out1, uint64_t *f1, uint64_t *f2, uint64_t *tmp ) { #if EVERCRYPT_TARGETCONFIG_GCC fmul_inline(tmp, f1, out1, f2); #else uint64_t uu____0 = fmul_(tmp, f1, out1, f2); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fmul2( uint64_t *out1, uint64_t *f1, uint64_t *f2, uint64_t *tmp ) { #if EVERCRYPT_TARGETCONFIG_GCC fmul2_inline(tmp, f1, out1, f2); #else uint64_t uu____0 = fmul2(tmp, f1, out1, f2); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fmul1(uint64_t *out1, uint64_t *f1, uint64_t f2) { #if EVERCRYPT_TARGETCONFIG_GCC fmul1_inline(out1, f1, f2); #else uint64_t uu____0 = fmul1(out1, f1, f2); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fsqr(uint64_t *out1, uint64_t *f1, uint64_t *tmp) { #if EVERCRYPT_TARGETCONFIG_GCC fsqr_inline(tmp, f1, out1); #else uint64_t uu____0 = fsqr(tmp, f1, out1); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_fsqr2(uint64_t *out1, uint64_t *f, uint64_t *tmp) { #if EVERCRYPT_TARGETCONFIG_GCC fsqr2_inline(tmp, f, out1); #else uint64_t uu____0 = fsqr2(tmp, f, out1); #endif } inline static void Hacl_Impl_Curve25519_Field64_Vale_cswap2(uint64_t bit, uint64_t *p1, uint64_t *p2) { #if EVERCRYPT_TARGETCONFIG_GCC cswap2_inline(bit, p1, p2); #else uint64_t uu____0 = cswap2(bit, p1, p2); #endif } static uint8_t Hacl_Curve25519_64_g25519[32U] = { (uint8_t)9U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U, (uint8_t)0U }; static void Hacl_Curve25519_64_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; uint64_t *x3; uint64_t *z31; uint64_t *d0; uint64_t *c0; uint64_t *a1; uint64_t *b1; uint64_t *d; uint64_t *c; uint64_t *ab1; uint64_t *dc1; Hacl_Impl_Curve25519_Field64_Vale_fadd(a, x2, z2); Hacl_Impl_Curve25519_Field64_Vale_fsub(b, x2, z2); x3 = nq_p1; z31 = nq_p1 + (uint32_t)4U; d0 = dc; c0 = dc + (uint32_t)4U; Hacl_Impl_Curve25519_Field64_Vale_fadd(c0, x3, z31); Hacl_Impl_Curve25519_Field64_Vale_fsub(d0, x3, z31); Hacl_Impl_Curve25519_Field64_Vale_fmul2(dc, dc, ab, tmp2); Hacl_Impl_Curve25519_Field64_Vale_fadd(x3, d0, c0); Hacl_Impl_Curve25519_Field64_Vale_fsub(z31, d0, c0); a1 = tmp1; b1 = tmp1 + (uint32_t)4U; d = tmp1 + (uint32_t)8U; c = tmp1 + (uint32_t)12U; ab1 = tmp1; dc1 = tmp1 + (uint32_t)8U; Hacl_Impl_Curve25519_Field64_Vale_fsqr2(dc1, ab1, tmp2); Hacl_Impl_Curve25519_Field64_Vale_fsqr2(nq_p1, nq_p1, tmp2); a1[0U] = c[0U]; a1[1U] = c[1U]; a1[2U] = c[2U]; a1[3U] = c[3U]; Hacl_Impl_Curve25519_Field64_Vale_fsub(c, d, c); Hacl_Impl_Curve25519_Field64_Vale_fmul1(b1, c, (uint64_t)121665U); Hacl_Impl_Curve25519_Field64_Vale_fadd(b1, b1, d); Hacl_Impl_Curve25519_Field64_Vale_fmul2(nq, dc1, ab1, tmp2); Hacl_Impl_Curve25519_Field64_Vale_fmul(z3, z3, x1, tmp2); } static void Hacl_Curve25519_64_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; Hacl_Impl_Curve25519_Field64_Vale_fadd(a, x2, z2); Hacl_Impl_Curve25519_Field64_Vale_fsub(b, x2, z2); Hacl_Impl_Curve25519_Field64_Vale_fsqr2(dc, ab, tmp2); a[0U] = c[0U]; a[1U] = c[1U]; a[2U] = c[2U]; a[3U] = c[3U]; Hacl_Impl_Curve25519_Field64_Vale_fsub(c, d, c); Hacl_Impl_Curve25519_Field64_Vale_fmul1(b, c, (uint64_t)121665U); Hacl_Impl_Curve25519_Field64_Vale_fadd(b, b, d); Hacl_Impl_Curve25519_Field64_Vale_fmul2(nq, dc, ab, tmp2); } static void Hacl_Curve25519_64_montgomery_ladder(uint64_t *out, uint8_t *key, uint64_t *init1) { 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; uint64_t *x0; uint64_t *z0; uint64_t *p01_tmp1; uint64_t *p01_tmp11; uint64_t *nq10; uint64_t *nq_p11; uint64_t *swap1; uint64_t sw0; uint64_t *nq1; uint64_t *tmp1; memcpy(p11, init1, (uint32_t)8U * sizeof init1[0U]); x0 = p03; 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; p01_tmp1 = p01_tmp1_swap; p01_tmp11 = p01_tmp1_swap; nq10 = p01_tmp1_swap; nq_p11 = p01_tmp1_swap + (uint32_t)8U; swap1 = p01_tmp1_swap + (uint32_t)32U; Hacl_Impl_Curve25519_Field64_Vale_cswap2((uint64_t)1U, nq10, nq_p11); Hacl_Curve25519_64_point_add_and_double(init1, p01_tmp11, tmp2); swap1[0U] = (uint64_t)1U; { uint32_t i; for (i = (uint32_t)0U; i < (uint32_t)251U; i = i + (uint32_t)1U) { uint64_t *p01_tmp12 = p01_tmp1_swap; uint64_t *swap2 = 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 = swap2[0U] ^ bit; Hacl_Impl_Curve25519_Field64_Vale_cswap2(sw, nq2, nq_p12); Hacl_Curve25519_64_point_add_and_double(init1, p01_tmp12, tmp2); swap2[0U] = bit; } } sw0 = swap1[0U]; Hacl_Impl_Curve25519_Field64_Vale_cswap2(sw0, nq10, nq_p11); nq1 = p01_tmp1; tmp1 = p01_tmp1 + (uint32_t)16U; Hacl_Curve25519_64_point_double(nq1, tmp1, tmp2); Hacl_Curve25519_64_point_double(nq1, tmp1, tmp2); Hacl_Curve25519_64_point_double(nq1, tmp1, tmp2); memcpy(out, p0, (uint32_t)8U * sizeof p0[0U]); } static void Hacl_Curve25519_64_fsquare_times(uint64_t *o, uint64_t *inp, uint64_t *tmp, uint32_t n1) { uint32_t i; Hacl_Impl_Curve25519_Field64_Vale_fsqr(o, inp, tmp); for (i = (uint32_t)0U; i < n1 - (uint32_t)1U; i = i + (uint32_t)1U) { Hacl_Impl_Curve25519_Field64_Vale_fsqr(o, o, tmp); } } static void Hacl_Curve25519_64_finv(uint64_t *o, uint64_t *i, uint64_t *tmp) { uint64_t t1[16U] = { 0U }; uint64_t *a0 = t1; uint64_t *b = t1 + (uint32_t)4U; uint64_t *c = t1 + (uint32_t)8U; uint64_t *t00 = t1 + (uint32_t)12U; uint64_t *tmp1 = tmp; uint64_t *a; uint64_t *t0; Hacl_Curve25519_64_fsquare_times(a0, i, tmp1, (uint32_t)1U); Hacl_Curve25519_64_fsquare_times(t00, a0, tmp1, (uint32_t)2U); Hacl_Impl_Curve25519_Field64_Vale_fmul(b, t00, i, tmp); Hacl_Impl_Curve25519_Field64_Vale_fmul(a0, b, a0, tmp); Hacl_Curve25519_64_fsquare_times(t00, a0, tmp1, (uint32_t)1U); Hacl_Impl_Curve25519_Field64_Vale_fmul(b, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, b, tmp1, (uint32_t)5U); Hacl_Impl_Curve25519_Field64_Vale_fmul(b, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, b, tmp1, (uint32_t)10U); Hacl_Impl_Curve25519_Field64_Vale_fmul(c, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, c, tmp1, (uint32_t)20U); Hacl_Impl_Curve25519_Field64_Vale_fmul(t00, t00, c, tmp); Hacl_Curve25519_64_fsquare_times(t00, t00, tmp1, (uint32_t)10U); Hacl_Impl_Curve25519_Field64_Vale_fmul(b, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, b, tmp1, (uint32_t)50U); Hacl_Impl_Curve25519_Field64_Vale_fmul(c, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, c, tmp1, (uint32_t)100U); Hacl_Impl_Curve25519_Field64_Vale_fmul(t00, t00, c, tmp); Hacl_Curve25519_64_fsquare_times(t00, t00, tmp1, (uint32_t)50U); Hacl_Impl_Curve25519_Field64_Vale_fmul(t00, t00, b, tmp); Hacl_Curve25519_64_fsquare_times(t00, t00, tmp1, (uint32_t)5U); a = t1; t0 = t1 + (uint32_t)12U; Hacl_Impl_Curve25519_Field64_Vale_fmul(o, t0, a, tmp); } static void Hacl_Curve25519_64_store_felem(uint64_t *b, uint64_t *f) { uint64_t f30 = f[3U]; uint64_t top_bit0 = f30 >> (uint32_t)63U; uint64_t carry0; uint64_t f31; uint64_t top_bit; uint64_t carry; uint64_t f0; uint64_t f1; uint64_t f2; uint64_t f3; uint64_t m0; uint64_t m1; uint64_t m2; uint64_t m3; uint64_t mask; uint64_t f0_; uint64_t f1_; uint64_t f2_; uint64_t f3_; uint64_t o0; uint64_t o1; uint64_t o2; uint64_t o3; f[3U] = f30 & (uint64_t)0x7fffffffffffffffU; carry0 = Hacl_Impl_Curve25519_Field64_Vale_add1(f, f, (uint64_t)19U * top_bit0); f31 = f[3U]; top_bit = f31 >> (uint32_t)63U; f[3U] = f31 & (uint64_t)0x7fffffffffffffffU; carry = Hacl_Impl_Curve25519_Field64_Vale_add1(f, f, (uint64_t)19U * top_bit); f0 = f[0U]; f1 = f[1U]; f2 = f[2U]; f3 = f[3U]; m0 = FStar_UInt64_gte_mask(f0, (uint64_t)0xffffffffffffffedU); m1 = FStar_UInt64_eq_mask(f1, (uint64_t)0xffffffffffffffffU); m2 = FStar_UInt64_eq_mask(f2, (uint64_t)0xffffffffffffffffU); m3 = FStar_UInt64_eq_mask(f3, (uint64_t)0x7fffffffffffffffU); mask = ((m0 & m1) & m2) & m3; f0_ = f0 - (mask & (uint64_t)0xffffffffffffffedU); f1_ = f1 - (mask & (uint64_t)0xffffffffffffffffU); f2_ = f2 - (mask & (uint64_t)0xffffffffffffffffU); f3_ = f3 - (mask & (uint64_t)0x7fffffffffffffffU); o0 = f0_; o1 = f1_; o2 = f2_; o3 = f3_; b[0U] = o0; b[1U] = o1; b[2U] = o2; b[3U] = o3; } static void Hacl_Curve25519_64_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 }; Hacl_Curve25519_64_finv(tmp, z, tmp_w); Hacl_Impl_Curve25519_Field64_Vale_fmul(tmp, tmp, x, tmp_w); Hacl_Curve25519_64_store_felem(u64s, tmp); { uint32_t i0; for (i0 = (uint32_t)0U; i0 < (uint32_t)4U; i0 = i0 + (uint32_t)1U) { store64_le(o + i0 * (uint32_t)8U, u64s[i0]); } } } void Hacl_Curve25519_64_scalarmult(uint8_t *out, uint8_t *priv, uint8_t *pub) { uint64_t init1[8U] = { 0U }; uint64_t tmp[4U] = { 0U }; uint64_t tmp3; uint64_t *x; uint64_t *z; { uint32_t i; for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (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 x0 = r; os[i] = x0; } } tmp3 = tmp[3U]; tmp[3U] = tmp3 & (uint64_t)0x7fffffffffffffffU; x = init1; z = init1 + (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]; Hacl_Curve25519_64_montgomery_ladder(init1, priv, init1); Hacl_Curve25519_64_encode_point(out, init1); } void Hacl_Curve25519_64_secret_to_public(uint8_t *pub, uint8_t *priv) { uint8_t basepoint[32U] = { 0U }; { uint32_t i; for (i = (uint32_t)0U; i < (uint32_t)32U; i = i + (uint32_t)1U) { uint8_t *os = basepoint; uint8_t x = Hacl_Curve25519_64_g25519[i]; os[i] = x; } } Hacl_Curve25519_64_scalarmult(pub, priv, basepoint); } bool Hacl_Curve25519_64_ecdh(uint8_t *out, uint8_t *priv, uint8_t *pub) { uint8_t zeros1[32U] = { 0U }; Hacl_Curve25519_64_scalarmult(out, priv, pub); { uint8_t res = (uint8_t)255U; uint8_t z; bool r; { uint32_t i; for (i = (uint32_t)0U; i < (uint32_t)32U; i = i + (uint32_t)1U) { uint8_t uu____0 = FStar_UInt8_eq_mask(out[i], zeros1[i]); res = uu____0 & res; } } z = res; r = z == (uint8_t)255U; return !r; } }