/* 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. */ #ifndef __internal_Hacl_Bignum25519_51_H #define __internal_Hacl_Bignum25519_51_H #if defined(__cplusplus) extern "C" { #endif #include #include "krml/internal/types.h" #include "krml/lowstar_endianness.h" #include "krml/internal/target.h" #include "internal/Hacl_Krmllib.h" #include "Hacl_Krmllib.h" static inline void Hacl_Impl_Curve25519_Field51_fadd(uint64_t *out, uint64_t *f1, uint64_t *f2) { uint64_t f10 = f1[0U]; uint64_t f20 = f2[0U]; uint64_t f11 = f1[1U]; uint64_t f21 = f2[1U]; uint64_t f12 = f1[2U]; uint64_t f22 = f2[2U]; uint64_t f13 = f1[3U]; uint64_t f23 = f2[3U]; uint64_t f14 = f1[4U]; uint64_t f24 = f2[4U]; out[0U] = f10 + f20; out[1U] = f11 + f21; out[2U] = f12 + f22; out[3U] = f13 + f23; out[4U] = f14 + f24; } static inline void Hacl_Impl_Curve25519_Field51_fsub(uint64_t *out, uint64_t *f1, uint64_t *f2) { uint64_t f10 = f1[0U]; uint64_t f20 = f2[0U]; uint64_t f11 = f1[1U]; uint64_t f21 = f2[1U]; uint64_t f12 = f1[2U]; uint64_t f22 = f2[2U]; uint64_t f13 = f1[3U]; uint64_t f23 = f2[3U]; uint64_t f14 = f1[4U]; uint64_t f24 = f2[4U]; out[0U] = f10 + (uint64_t)0x3fffffffffff68U - f20; out[1U] = f11 + (uint64_t)0x3ffffffffffff8U - f21; out[2U] = f12 + (uint64_t)0x3ffffffffffff8U - f22; out[3U] = f13 + (uint64_t)0x3ffffffffffff8U - f23; out[4U] = f14 + (uint64_t)0x3ffffffffffff8U - f24; } static inline void Hacl_Impl_Curve25519_Field51_fmul( uint64_t *out, uint64_t *f1, uint64_t *f2, FStar_UInt128_uint128 *uu___) { KRML_HOST_IGNORE(uu___); uint64_t f10 = f1[0U]; uint64_t f11 = f1[1U]; uint64_t f12 = f1[2U]; uint64_t f13 = f1[3U]; uint64_t f14 = f1[4U]; uint64_t f20 = f2[0U]; uint64_t f21 = f2[1U]; uint64_t f22 = f2[2U]; uint64_t f23 = f2[3U]; uint64_t f24 = f2[4U]; uint64_t tmp1 = f21 * (uint64_t)19U; uint64_t tmp2 = f22 * (uint64_t)19U; uint64_t tmp3 = f23 * (uint64_t)19U; uint64_t tmp4 = f24 * (uint64_t)19U; FStar_UInt128_uint128 o00 = FStar_UInt128_mul_wide(f10, f20); FStar_UInt128_uint128 o10 = FStar_UInt128_mul_wide(f10, f21); FStar_UInt128_uint128 o20 = FStar_UInt128_mul_wide(f10, f22); FStar_UInt128_uint128 o30 = FStar_UInt128_mul_wide(f10, f23); FStar_UInt128_uint128 o40 = FStar_UInt128_mul_wide(f10, f24); FStar_UInt128_uint128 o01 = FStar_UInt128_add(o00, FStar_UInt128_mul_wide(f11, tmp4)); FStar_UInt128_uint128 o11 = FStar_UInt128_add(o10, FStar_UInt128_mul_wide(f11, f20)); FStar_UInt128_uint128 o21 = FStar_UInt128_add(o20, FStar_UInt128_mul_wide(f11, f21)); FStar_UInt128_uint128 o31 = FStar_UInt128_add(o30, FStar_UInt128_mul_wide(f11, f22)); FStar_UInt128_uint128 o41 = FStar_UInt128_add(o40, FStar_UInt128_mul_wide(f11, f23)); FStar_UInt128_uint128 o02 = FStar_UInt128_add(o01, FStar_UInt128_mul_wide(f12, tmp3)); FStar_UInt128_uint128 o12 = FStar_UInt128_add(o11, FStar_UInt128_mul_wide(f12, tmp4)); FStar_UInt128_uint128 o22 = FStar_UInt128_add(o21, FStar_UInt128_mul_wide(f12, f20)); FStar_UInt128_uint128 o32 = FStar_UInt128_add(o31, FStar_UInt128_mul_wide(f12, f21)); FStar_UInt128_uint128 o42 = FStar_UInt128_add(o41, FStar_UInt128_mul_wide(f12, f22)); FStar_UInt128_uint128 o03 = FStar_UInt128_add(o02, FStar_UInt128_mul_wide(f13, tmp2)); FStar_UInt128_uint128 o13 = FStar_UInt128_add(o12, FStar_UInt128_mul_wide(f13, tmp3)); FStar_UInt128_uint128 o23 = FStar_UInt128_add(o22, FStar_UInt128_mul_wide(f13, tmp4)); FStar_UInt128_uint128 o33 = FStar_UInt128_add(o32, FStar_UInt128_mul_wide(f13, f20)); FStar_UInt128_uint128 o43 = FStar_UInt128_add(o42, FStar_UInt128_mul_wide(f13, f21)); FStar_UInt128_uint128 o04 = FStar_UInt128_add(o03, FStar_UInt128_mul_wide(f14, tmp1)); FStar_UInt128_uint128 o14 = FStar_UInt128_add(o13, FStar_UInt128_mul_wide(f14, tmp2)); FStar_UInt128_uint128 o24 = FStar_UInt128_add(o23, FStar_UInt128_mul_wide(f14, tmp3)); FStar_UInt128_uint128 o34 = FStar_UInt128_add(o33, FStar_UInt128_mul_wide(f14, tmp4)); FStar_UInt128_uint128 o44 = FStar_UInt128_add(o43, FStar_UInt128_mul_wide(f14, f20)); FStar_UInt128_uint128 tmp_w0 = o04; FStar_UInt128_uint128 tmp_w1 = o14; FStar_UInt128_uint128 tmp_w2 = o24; FStar_UInt128_uint128 tmp_w3 = o34; FStar_UInt128_uint128 tmp_w4 = o44; FStar_UInt128_uint128 l_ = FStar_UInt128_add(tmp_w0, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp01 = FStar_UInt128_uint128_to_uint64(l_) & (uint64_t)0x7ffffffffffffU; uint64_t c0 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_, (uint32_t)51U)); FStar_UInt128_uint128 l_0 = FStar_UInt128_add(tmp_w1, FStar_UInt128_uint64_to_uint128(c0)); uint64_t tmp11 = FStar_UInt128_uint128_to_uint64(l_0) & (uint64_t)0x7ffffffffffffU; uint64_t c1 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_0, (uint32_t)51U)); FStar_UInt128_uint128 l_1 = FStar_UInt128_add(tmp_w2, FStar_UInt128_uint64_to_uint128(c1)); uint64_t tmp21 = FStar_UInt128_uint128_to_uint64(l_1) & (uint64_t)0x7ffffffffffffU; uint64_t c2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_1, (uint32_t)51U)); FStar_UInt128_uint128 l_2 = FStar_UInt128_add(tmp_w3, FStar_UInt128_uint64_to_uint128(c2)); uint64_t tmp31 = FStar_UInt128_uint128_to_uint64(l_2) & (uint64_t)0x7ffffffffffffU; uint64_t c3 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_2, (uint32_t)51U)); FStar_UInt128_uint128 l_3 = FStar_UInt128_add(tmp_w4, FStar_UInt128_uint64_to_uint128(c3)); uint64_t tmp41 = FStar_UInt128_uint128_to_uint64(l_3) & (uint64_t)0x7ffffffffffffU; uint64_t c4 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_3, (uint32_t)51U)); uint64_t l_4 = tmp01 + c4 * (uint64_t)19U; uint64_t tmp0_ = l_4 & (uint64_t)0x7ffffffffffffU; uint64_t c5 = l_4 >> (uint32_t)51U; uint64_t o0 = tmp0_; uint64_t o1 = tmp11 + c5; uint64_t o2 = tmp21; uint64_t o3 = tmp31; uint64_t o4 = tmp41; out[0U] = o0; out[1U] = o1; out[2U] = o2; out[3U] = o3; out[4U] = o4; } static inline void Hacl_Impl_Curve25519_Field51_fmul2( uint64_t *out, uint64_t *f1, uint64_t *f2, FStar_UInt128_uint128 *uu___) { KRML_HOST_IGNORE(uu___); uint64_t f10 = f1[0U]; uint64_t f11 = f1[1U]; uint64_t f12 = f1[2U]; uint64_t f13 = f1[3U]; uint64_t f14 = f1[4U]; uint64_t f20 = f2[0U]; uint64_t f21 = f2[1U]; uint64_t f22 = f2[2U]; uint64_t f23 = f2[3U]; uint64_t f24 = f2[4U]; uint64_t f30 = f1[5U]; uint64_t f31 = f1[6U]; uint64_t f32 = f1[7U]; uint64_t f33 = f1[8U]; uint64_t f34 = f1[9U]; uint64_t f40 = f2[5U]; uint64_t f41 = f2[6U]; uint64_t f42 = f2[7U]; uint64_t f43 = f2[8U]; uint64_t f44 = f2[9U]; uint64_t tmp11 = f21 * (uint64_t)19U; uint64_t tmp12 = f22 * (uint64_t)19U; uint64_t tmp13 = f23 * (uint64_t)19U; uint64_t tmp14 = f24 * (uint64_t)19U; uint64_t tmp21 = f41 * (uint64_t)19U; uint64_t tmp22 = f42 * (uint64_t)19U; uint64_t tmp23 = f43 * (uint64_t)19U; uint64_t tmp24 = f44 * (uint64_t)19U; FStar_UInt128_uint128 o00 = FStar_UInt128_mul_wide(f10, f20); FStar_UInt128_uint128 o15 = FStar_UInt128_mul_wide(f10, f21); FStar_UInt128_uint128 o25 = FStar_UInt128_mul_wide(f10, f22); FStar_UInt128_uint128 o30 = FStar_UInt128_mul_wide(f10, f23); FStar_UInt128_uint128 o40 = FStar_UInt128_mul_wide(f10, f24); FStar_UInt128_uint128 o010 = FStar_UInt128_add(o00, FStar_UInt128_mul_wide(f11, tmp14)); FStar_UInt128_uint128 o110 = FStar_UInt128_add(o15, FStar_UInt128_mul_wide(f11, f20)); FStar_UInt128_uint128 o210 = FStar_UInt128_add(o25, FStar_UInt128_mul_wide(f11, f21)); FStar_UInt128_uint128 o310 = FStar_UInt128_add(o30, FStar_UInt128_mul_wide(f11, f22)); FStar_UInt128_uint128 o410 = FStar_UInt128_add(o40, FStar_UInt128_mul_wide(f11, f23)); FStar_UInt128_uint128 o020 = FStar_UInt128_add(o010, FStar_UInt128_mul_wide(f12, tmp13)); FStar_UInt128_uint128 o120 = FStar_UInt128_add(o110, FStar_UInt128_mul_wide(f12, tmp14)); FStar_UInt128_uint128 o220 = FStar_UInt128_add(o210, FStar_UInt128_mul_wide(f12, f20)); FStar_UInt128_uint128 o320 = FStar_UInt128_add(o310, FStar_UInt128_mul_wide(f12, f21)); FStar_UInt128_uint128 o420 = FStar_UInt128_add(o410, FStar_UInt128_mul_wide(f12, f22)); FStar_UInt128_uint128 o030 = FStar_UInt128_add(o020, FStar_UInt128_mul_wide(f13, tmp12)); FStar_UInt128_uint128 o130 = FStar_UInt128_add(o120, FStar_UInt128_mul_wide(f13, tmp13)); FStar_UInt128_uint128 o230 = FStar_UInt128_add(o220, FStar_UInt128_mul_wide(f13, tmp14)); FStar_UInt128_uint128 o330 = FStar_UInt128_add(o320, FStar_UInt128_mul_wide(f13, f20)); FStar_UInt128_uint128 o430 = FStar_UInt128_add(o420, FStar_UInt128_mul_wide(f13, f21)); FStar_UInt128_uint128 o040 = FStar_UInt128_add(o030, FStar_UInt128_mul_wide(f14, tmp11)); FStar_UInt128_uint128 o140 = FStar_UInt128_add(o130, FStar_UInt128_mul_wide(f14, tmp12)); FStar_UInt128_uint128 o240 = FStar_UInt128_add(o230, FStar_UInt128_mul_wide(f14, tmp13)); FStar_UInt128_uint128 o340 = FStar_UInt128_add(o330, FStar_UInt128_mul_wide(f14, tmp14)); FStar_UInt128_uint128 o440 = FStar_UInt128_add(o430, FStar_UInt128_mul_wide(f14, f20)); FStar_UInt128_uint128 tmp_w10 = o040; FStar_UInt128_uint128 tmp_w11 = o140; FStar_UInt128_uint128 tmp_w12 = o240; FStar_UInt128_uint128 tmp_w13 = o340; FStar_UInt128_uint128 tmp_w14 = o440; FStar_UInt128_uint128 o0 = FStar_UInt128_mul_wide(f30, f40); FStar_UInt128_uint128 o1 = FStar_UInt128_mul_wide(f30, f41); FStar_UInt128_uint128 o2 = FStar_UInt128_mul_wide(f30, f42); FStar_UInt128_uint128 o3 = FStar_UInt128_mul_wide(f30, f43); FStar_UInt128_uint128 o4 = FStar_UInt128_mul_wide(f30, f44); FStar_UInt128_uint128 o01 = FStar_UInt128_add(o0, FStar_UInt128_mul_wide(f31, tmp24)); FStar_UInt128_uint128 o111 = FStar_UInt128_add(o1, FStar_UInt128_mul_wide(f31, f40)); FStar_UInt128_uint128 o211 = FStar_UInt128_add(o2, FStar_UInt128_mul_wide(f31, f41)); FStar_UInt128_uint128 o31 = FStar_UInt128_add(o3, FStar_UInt128_mul_wide(f31, f42)); FStar_UInt128_uint128 o41 = FStar_UInt128_add(o4, FStar_UInt128_mul_wide(f31, f43)); FStar_UInt128_uint128 o02 = FStar_UInt128_add(o01, FStar_UInt128_mul_wide(f32, tmp23)); FStar_UInt128_uint128 o121 = FStar_UInt128_add(o111, FStar_UInt128_mul_wide(f32, tmp24)); FStar_UInt128_uint128 o221 = FStar_UInt128_add(o211, FStar_UInt128_mul_wide(f32, f40)); FStar_UInt128_uint128 o32 = FStar_UInt128_add(o31, FStar_UInt128_mul_wide(f32, f41)); FStar_UInt128_uint128 o42 = FStar_UInt128_add(o41, FStar_UInt128_mul_wide(f32, f42)); FStar_UInt128_uint128 o03 = FStar_UInt128_add(o02, FStar_UInt128_mul_wide(f33, tmp22)); FStar_UInt128_uint128 o131 = FStar_UInt128_add(o121, FStar_UInt128_mul_wide(f33, tmp23)); FStar_UInt128_uint128 o231 = FStar_UInt128_add(o221, FStar_UInt128_mul_wide(f33, tmp24)); FStar_UInt128_uint128 o33 = FStar_UInt128_add(o32, FStar_UInt128_mul_wide(f33, f40)); FStar_UInt128_uint128 o43 = FStar_UInt128_add(o42, FStar_UInt128_mul_wide(f33, f41)); FStar_UInt128_uint128 o04 = FStar_UInt128_add(o03, FStar_UInt128_mul_wide(f34, tmp21)); FStar_UInt128_uint128 o141 = FStar_UInt128_add(o131, FStar_UInt128_mul_wide(f34, tmp22)); FStar_UInt128_uint128 o241 = FStar_UInt128_add(o231, FStar_UInt128_mul_wide(f34, tmp23)); FStar_UInt128_uint128 o34 = FStar_UInt128_add(o33, FStar_UInt128_mul_wide(f34, tmp24)); FStar_UInt128_uint128 o44 = FStar_UInt128_add(o43, FStar_UInt128_mul_wide(f34, f40)); FStar_UInt128_uint128 tmp_w20 = o04; FStar_UInt128_uint128 tmp_w21 = o141; FStar_UInt128_uint128 tmp_w22 = o241; FStar_UInt128_uint128 tmp_w23 = o34; FStar_UInt128_uint128 tmp_w24 = o44; FStar_UInt128_uint128 l_ = FStar_UInt128_add(tmp_w10, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp00 = FStar_UInt128_uint128_to_uint64(l_) & (uint64_t)0x7ffffffffffffU; uint64_t c00 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_, (uint32_t)51U)); FStar_UInt128_uint128 l_0 = FStar_UInt128_add(tmp_w11, FStar_UInt128_uint64_to_uint128(c00)); uint64_t tmp10 = FStar_UInt128_uint128_to_uint64(l_0) & (uint64_t)0x7ffffffffffffU; uint64_t c10 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_0, (uint32_t)51U)); FStar_UInt128_uint128 l_1 = FStar_UInt128_add(tmp_w12, FStar_UInt128_uint64_to_uint128(c10)); uint64_t tmp20 = FStar_UInt128_uint128_to_uint64(l_1) & (uint64_t)0x7ffffffffffffU; uint64_t c20 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_1, (uint32_t)51U)); FStar_UInt128_uint128 l_2 = FStar_UInt128_add(tmp_w13, FStar_UInt128_uint64_to_uint128(c20)); uint64_t tmp30 = FStar_UInt128_uint128_to_uint64(l_2) & (uint64_t)0x7ffffffffffffU; uint64_t c30 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_2, (uint32_t)51U)); FStar_UInt128_uint128 l_3 = FStar_UInt128_add(tmp_w14, FStar_UInt128_uint64_to_uint128(c30)); uint64_t tmp40 = FStar_UInt128_uint128_to_uint64(l_3) & (uint64_t)0x7ffffffffffffU; uint64_t c40 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_3, (uint32_t)51U)); uint64_t l_4 = tmp00 + c40 * (uint64_t)19U; uint64_t tmp0_ = l_4 & (uint64_t)0x7ffffffffffffU; uint64_t c50 = l_4 >> (uint32_t)51U; uint64_t o100 = tmp0_; uint64_t o112 = tmp10 + c50; uint64_t o122 = tmp20; uint64_t o132 = tmp30; uint64_t o142 = tmp40; FStar_UInt128_uint128 l_5 = FStar_UInt128_add(tmp_w20, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp0 = FStar_UInt128_uint128_to_uint64(l_5) & (uint64_t)0x7ffffffffffffU; uint64_t c0 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_5, (uint32_t)51U)); FStar_UInt128_uint128 l_6 = FStar_UInt128_add(tmp_w21, FStar_UInt128_uint64_to_uint128(c0)); uint64_t tmp1 = FStar_UInt128_uint128_to_uint64(l_6) & (uint64_t)0x7ffffffffffffU; uint64_t c1 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_6, (uint32_t)51U)); FStar_UInt128_uint128 l_7 = FStar_UInt128_add(tmp_w22, FStar_UInt128_uint64_to_uint128(c1)); uint64_t tmp2 = FStar_UInt128_uint128_to_uint64(l_7) & (uint64_t)0x7ffffffffffffU; uint64_t c2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_7, (uint32_t)51U)); FStar_UInt128_uint128 l_8 = FStar_UInt128_add(tmp_w23, FStar_UInt128_uint64_to_uint128(c2)); uint64_t tmp3 = FStar_UInt128_uint128_to_uint64(l_8) & (uint64_t)0x7ffffffffffffU; uint64_t c3 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_8, (uint32_t)51U)); FStar_UInt128_uint128 l_9 = FStar_UInt128_add(tmp_w24, FStar_UInt128_uint64_to_uint128(c3)); uint64_t tmp4 = FStar_UInt128_uint128_to_uint64(l_9) & (uint64_t)0x7ffffffffffffU; uint64_t c4 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_9, (uint32_t)51U)); uint64_t l_10 = tmp0 + c4 * (uint64_t)19U; uint64_t tmp0_0 = l_10 & (uint64_t)0x7ffffffffffffU; uint64_t c5 = l_10 >> (uint32_t)51U; uint64_t o200 = tmp0_0; uint64_t o212 = tmp1 + c5; uint64_t o222 = tmp2; uint64_t o232 = tmp3; uint64_t o242 = tmp4; uint64_t o10 = o100; uint64_t o11 = o112; uint64_t o12 = o122; uint64_t o13 = o132; uint64_t o14 = o142; uint64_t o20 = o200; uint64_t o21 = o212; uint64_t o22 = o222; uint64_t o23 = o232; uint64_t o24 = o242; out[0U] = o10; out[1U] = o11; out[2U] = o12; out[3U] = o13; out[4U] = o14; out[5U] = o20; out[6U] = o21; out[7U] = o22; out[8U] = o23; out[9U] = o24; } static inline void Hacl_Impl_Curve25519_Field51_fmul1(uint64_t *out, uint64_t *f1, uint64_t f2) { uint64_t f10 = f1[0U]; uint64_t f11 = f1[1U]; uint64_t f12 = f1[2U]; uint64_t f13 = f1[3U]; uint64_t f14 = f1[4U]; FStar_UInt128_uint128 tmp_w0 = FStar_UInt128_mul_wide(f2, f10); FStar_UInt128_uint128 tmp_w1 = FStar_UInt128_mul_wide(f2, f11); FStar_UInt128_uint128 tmp_w2 = FStar_UInt128_mul_wide(f2, f12); FStar_UInt128_uint128 tmp_w3 = FStar_UInt128_mul_wide(f2, f13); FStar_UInt128_uint128 tmp_w4 = FStar_UInt128_mul_wide(f2, f14); FStar_UInt128_uint128 l_ = FStar_UInt128_add(tmp_w0, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp0 = FStar_UInt128_uint128_to_uint64(l_) & (uint64_t)0x7ffffffffffffU; uint64_t c0 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_, (uint32_t)51U)); FStar_UInt128_uint128 l_0 = FStar_UInt128_add(tmp_w1, FStar_UInt128_uint64_to_uint128(c0)); uint64_t tmp1 = FStar_UInt128_uint128_to_uint64(l_0) & (uint64_t)0x7ffffffffffffU; uint64_t c1 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_0, (uint32_t)51U)); FStar_UInt128_uint128 l_1 = FStar_UInt128_add(tmp_w2, FStar_UInt128_uint64_to_uint128(c1)); uint64_t tmp2 = FStar_UInt128_uint128_to_uint64(l_1) & (uint64_t)0x7ffffffffffffU; uint64_t c2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_1, (uint32_t)51U)); FStar_UInt128_uint128 l_2 = FStar_UInt128_add(tmp_w3, FStar_UInt128_uint64_to_uint128(c2)); uint64_t tmp3 = FStar_UInt128_uint128_to_uint64(l_2) & (uint64_t)0x7ffffffffffffU; uint64_t c3 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_2, (uint32_t)51U)); FStar_UInt128_uint128 l_3 = FStar_UInt128_add(tmp_w4, FStar_UInt128_uint64_to_uint128(c3)); uint64_t tmp4 = FStar_UInt128_uint128_to_uint64(l_3) & (uint64_t)0x7ffffffffffffU; uint64_t c4 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(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 o0 = tmp0_; uint64_t o1 = tmp1 + c5; uint64_t o2 = tmp2; uint64_t o3 = tmp3; uint64_t o4 = tmp4; out[0U] = o0; out[1U] = o1; out[2U] = o2; out[3U] = o3; out[4U] = o4; } static inline void Hacl_Impl_Curve25519_Field51_fsqr(uint64_t *out, uint64_t *f, FStar_UInt128_uint128 *uu___) { KRML_HOST_IGNORE(uu___); uint64_t f0 = f[0U]; uint64_t f1 = f[1U]; uint64_t f2 = f[2U]; uint64_t f3 = f[3U]; uint64_t f4 = f[4U]; uint64_t d0 = (uint64_t)2U * f0; uint64_t d1 = (uint64_t)2U * f1; uint64_t d2 = (uint64_t)38U * f2; uint64_t d3 = (uint64_t)19U * f3; uint64_t d419 = (uint64_t)19U * f4; uint64_t d4 = (uint64_t)2U * d419; FStar_UInt128_uint128 s0 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(f0, f0), FStar_UInt128_mul_wide(d4, f1)), FStar_UInt128_mul_wide(d2, f3)); FStar_UInt128_uint128 s1 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f1), FStar_UInt128_mul_wide(d4, f2)), FStar_UInt128_mul_wide(d3, f3)); FStar_UInt128_uint128 s2 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f2), FStar_UInt128_mul_wide(f1, f1)), FStar_UInt128_mul_wide(d4, f3)); FStar_UInt128_uint128 s3 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f3), FStar_UInt128_mul_wide(d1, f2)), FStar_UInt128_mul_wide(f4, d419)); FStar_UInt128_uint128 s4 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f4), FStar_UInt128_mul_wide(d1, f3)), FStar_UInt128_mul_wide(f2, f2)); FStar_UInt128_uint128 o00 = s0; FStar_UInt128_uint128 o10 = s1; FStar_UInt128_uint128 o20 = s2; FStar_UInt128_uint128 o30 = s3; FStar_UInt128_uint128 o40 = s4; FStar_UInt128_uint128 l_ = FStar_UInt128_add(o00, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp0 = FStar_UInt128_uint128_to_uint64(l_) & (uint64_t)0x7ffffffffffffU; uint64_t c0 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_, (uint32_t)51U)); FStar_UInt128_uint128 l_0 = FStar_UInt128_add(o10, FStar_UInt128_uint64_to_uint128(c0)); uint64_t tmp1 = FStar_UInt128_uint128_to_uint64(l_0) & (uint64_t)0x7ffffffffffffU; uint64_t c1 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_0, (uint32_t)51U)); FStar_UInt128_uint128 l_1 = FStar_UInt128_add(o20, FStar_UInt128_uint64_to_uint128(c1)); uint64_t tmp2 = FStar_UInt128_uint128_to_uint64(l_1) & (uint64_t)0x7ffffffffffffU; uint64_t c2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_1, (uint32_t)51U)); FStar_UInt128_uint128 l_2 = FStar_UInt128_add(o30, FStar_UInt128_uint64_to_uint128(c2)); uint64_t tmp3 = FStar_UInt128_uint128_to_uint64(l_2) & (uint64_t)0x7ffffffffffffU; uint64_t c3 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_2, (uint32_t)51U)); FStar_UInt128_uint128 l_3 = FStar_UInt128_add(o40, FStar_UInt128_uint64_to_uint128(c3)); uint64_t tmp4 = FStar_UInt128_uint128_to_uint64(l_3) & (uint64_t)0x7ffffffffffffU; uint64_t c4 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(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 o0 = tmp0_; uint64_t o1 = tmp1 + c5; uint64_t o2 = tmp2; uint64_t o3 = tmp3; uint64_t o4 = tmp4; out[0U] = o0; out[1U] = o1; out[2U] = o2; out[3U] = o3; out[4U] = o4; } static inline void Hacl_Impl_Curve25519_Field51_fsqr2(uint64_t *out, uint64_t *f, FStar_UInt128_uint128 *uu___) { KRML_HOST_IGNORE(uu___); uint64_t f10 = f[0U]; uint64_t f11 = f[1U]; uint64_t f12 = f[2U]; uint64_t f13 = f[3U]; uint64_t f14 = f[4U]; uint64_t f20 = f[5U]; uint64_t f21 = f[6U]; uint64_t f22 = f[7U]; uint64_t f23 = f[8U]; uint64_t f24 = f[9U]; uint64_t d00 = (uint64_t)2U * f10; uint64_t d10 = (uint64_t)2U * f11; uint64_t d20 = (uint64_t)38U * f12; uint64_t d30 = (uint64_t)19U * f13; uint64_t d4190 = (uint64_t)19U * f14; uint64_t d40 = (uint64_t)2U * d4190; FStar_UInt128_uint128 s00 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(f10, f10), FStar_UInt128_mul_wide(d40, f11)), FStar_UInt128_mul_wide(d20, f13)); FStar_UInt128_uint128 s10 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d00, f11), FStar_UInt128_mul_wide(d40, f12)), FStar_UInt128_mul_wide(d30, f13)); FStar_UInt128_uint128 s20 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d00, f12), FStar_UInt128_mul_wide(f11, f11)), FStar_UInt128_mul_wide(d40, f13)); FStar_UInt128_uint128 s30 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d00, f13), FStar_UInt128_mul_wide(d10, f12)), FStar_UInt128_mul_wide(f14, d4190)); FStar_UInt128_uint128 s40 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d00, f14), FStar_UInt128_mul_wide(d10, f13)), FStar_UInt128_mul_wide(f12, f12)); FStar_UInt128_uint128 o100 = s00; FStar_UInt128_uint128 o110 = s10; FStar_UInt128_uint128 o120 = s20; FStar_UInt128_uint128 o130 = s30; FStar_UInt128_uint128 o140 = s40; uint64_t d0 = (uint64_t)2U * f20; uint64_t d1 = (uint64_t)2U * f21; uint64_t d2 = (uint64_t)38U * f22; uint64_t d3 = (uint64_t)19U * f23; uint64_t d419 = (uint64_t)19U * f24; uint64_t d4 = (uint64_t)2U * d419; FStar_UInt128_uint128 s0 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(f20, f20), FStar_UInt128_mul_wide(d4, f21)), FStar_UInt128_mul_wide(d2, f23)); FStar_UInt128_uint128 s1 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f21), FStar_UInt128_mul_wide(d4, f22)), FStar_UInt128_mul_wide(d3, f23)); FStar_UInt128_uint128 s2 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f22), FStar_UInt128_mul_wide(f21, f21)), FStar_UInt128_mul_wide(d4, f23)); FStar_UInt128_uint128 s3 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f23), FStar_UInt128_mul_wide(d1, f22)), FStar_UInt128_mul_wide(f24, d419)); FStar_UInt128_uint128 s4 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, f24), FStar_UInt128_mul_wide(d1, f23)), FStar_UInt128_mul_wide(f22, f22)); FStar_UInt128_uint128 o200 = s0; FStar_UInt128_uint128 o210 = s1; FStar_UInt128_uint128 o220 = s2; FStar_UInt128_uint128 o230 = s3; FStar_UInt128_uint128 o240 = s4; FStar_UInt128_uint128 l_ = FStar_UInt128_add(o100, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp00 = FStar_UInt128_uint128_to_uint64(l_) & (uint64_t)0x7ffffffffffffU; uint64_t c00 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_, (uint32_t)51U)); FStar_UInt128_uint128 l_0 = FStar_UInt128_add(o110, FStar_UInt128_uint64_to_uint128(c00)); uint64_t tmp10 = FStar_UInt128_uint128_to_uint64(l_0) & (uint64_t)0x7ffffffffffffU; uint64_t c10 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_0, (uint32_t)51U)); FStar_UInt128_uint128 l_1 = FStar_UInt128_add(o120, FStar_UInt128_uint64_to_uint128(c10)); uint64_t tmp20 = FStar_UInt128_uint128_to_uint64(l_1) & (uint64_t)0x7ffffffffffffU; uint64_t c20 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_1, (uint32_t)51U)); FStar_UInt128_uint128 l_2 = FStar_UInt128_add(o130, FStar_UInt128_uint64_to_uint128(c20)); uint64_t tmp30 = FStar_UInt128_uint128_to_uint64(l_2) & (uint64_t)0x7ffffffffffffU; uint64_t c30 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_2, (uint32_t)51U)); FStar_UInt128_uint128 l_3 = FStar_UInt128_add(o140, FStar_UInt128_uint64_to_uint128(c30)); uint64_t tmp40 = FStar_UInt128_uint128_to_uint64(l_3) & (uint64_t)0x7ffffffffffffU; uint64_t c40 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_3, (uint32_t)51U)); uint64_t l_4 = tmp00 + c40 * (uint64_t)19U; uint64_t tmp0_ = l_4 & (uint64_t)0x7ffffffffffffU; uint64_t c50 = l_4 >> (uint32_t)51U; uint64_t o101 = tmp0_; uint64_t o111 = tmp10 + c50; uint64_t o121 = tmp20; uint64_t o131 = tmp30; uint64_t o141 = tmp40; FStar_UInt128_uint128 l_5 = FStar_UInt128_add(o200, FStar_UInt128_uint64_to_uint128((uint64_t)0U)); uint64_t tmp0 = FStar_UInt128_uint128_to_uint64(l_5) & (uint64_t)0x7ffffffffffffU; uint64_t c0 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_5, (uint32_t)51U)); FStar_UInt128_uint128 l_6 = FStar_UInt128_add(o210, FStar_UInt128_uint64_to_uint128(c0)); uint64_t tmp1 = FStar_UInt128_uint128_to_uint64(l_6) & (uint64_t)0x7ffffffffffffU; uint64_t c1 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_6, (uint32_t)51U)); FStar_UInt128_uint128 l_7 = FStar_UInt128_add(o220, FStar_UInt128_uint64_to_uint128(c1)); uint64_t tmp2 = FStar_UInt128_uint128_to_uint64(l_7) & (uint64_t)0x7ffffffffffffU; uint64_t c2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_7, (uint32_t)51U)); FStar_UInt128_uint128 l_8 = FStar_UInt128_add(o230, FStar_UInt128_uint64_to_uint128(c2)); uint64_t tmp3 = FStar_UInt128_uint128_to_uint64(l_8) & (uint64_t)0x7ffffffffffffU; uint64_t c3 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_8, (uint32_t)51U)); FStar_UInt128_uint128 l_9 = FStar_UInt128_add(o240, FStar_UInt128_uint64_to_uint128(c3)); uint64_t tmp4 = FStar_UInt128_uint128_to_uint64(l_9) & (uint64_t)0x7ffffffffffffU; uint64_t c4 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(l_9, (uint32_t)51U)); uint64_t l_10 = tmp0 + c4 * (uint64_t)19U; uint64_t tmp0_0 = l_10 & (uint64_t)0x7ffffffffffffU; uint64_t c5 = l_10 >> (uint32_t)51U; uint64_t o201 = tmp0_0; uint64_t o211 = tmp1 + c5; uint64_t o221 = tmp2; uint64_t o231 = tmp3; uint64_t o241 = tmp4; uint64_t o10 = o101; uint64_t o11 = o111; uint64_t o12 = o121; uint64_t o13 = o131; uint64_t o14 = o141; uint64_t o20 = o201; uint64_t o21 = o211; uint64_t o22 = o221; uint64_t o23 = o231; uint64_t o24 = o241; out[0U] = o10; out[1U] = o11; out[2U] = o12; out[3U] = o13; out[4U] = o14; out[5U] = o20; out[6U] = o21; out[7U] = o22; out[8U] = o23; out[9U] = o24; } static inline void Hacl_Impl_Curve25519_Field51_store_felem(uint64_t *u64s, uint64_t *f) { uint64_t f0 = f[0U]; uint64_t f1 = f[1U]; uint64_t f2 = f[2U]; uint64_t f3 = f[3U]; uint64_t f4 = f[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; uint64_t f01 = tmp0_; uint64_t f11 = tmp1 + c5; uint64_t f21 = tmp2; uint64_t f31 = tmp3; uint64_t f41 = tmp4; uint64_t m0 = FStar_UInt64_gte_mask(f01, (uint64_t)0x7ffffffffffedU); uint64_t m1 = FStar_UInt64_eq_mask(f11, (uint64_t)0x7ffffffffffffU); uint64_t m2 = FStar_UInt64_eq_mask(f21, (uint64_t)0x7ffffffffffffU); uint64_t m3 = FStar_UInt64_eq_mask(f31, (uint64_t)0x7ffffffffffffU); uint64_t m4 = FStar_UInt64_eq_mask(f41, (uint64_t)0x7ffffffffffffU); uint64_t mask = (((m0 & m1) & m2) & m3) & m4; uint64_t f0_ = f01 - (mask & (uint64_t)0x7ffffffffffedU); uint64_t f1_ = f11 - (mask & (uint64_t)0x7ffffffffffffU); uint64_t f2_ = f21 - (mask & (uint64_t)0x7ffffffffffffU); uint64_t f3_ = f31 - (mask & (uint64_t)0x7ffffffffffffU); uint64_t f4_ = f41 - (mask & (uint64_t)0x7ffffffffffffU); uint64_t f02 = f0_; uint64_t f12 = f1_; uint64_t f22 = f2_; uint64_t f32 = f3_; uint64_t f42 = f4_; uint64_t o00 = f02 | f12 << (uint32_t)51U; uint64_t o10 = f12 >> (uint32_t)13U | f22 << (uint32_t)38U; uint64_t o20 = f22 >> (uint32_t)26U | f32 << (uint32_t)25U; uint64_t o30 = f32 >> (uint32_t)39U | f42 << (uint32_t)12U; uint64_t o0 = o00; uint64_t o1 = o10; uint64_t o2 = o20; uint64_t o3 = o30; u64s[0U] = o0; u64s[1U] = o1; u64s[2U] = o2; u64s[3U] = o3; } static inline void Hacl_Impl_Curve25519_Field51_cswap2(uint64_t bit, uint64_t *p1, uint64_t *p2) { uint64_t mask = (uint64_t)0U - bit; KRML_MAYBE_FOR10(i, (uint32_t)0U, (uint32_t)10U, (uint32_t)1U, uint64_t dummy = mask & (p1[i] ^ p2[i]); p1[i] = p1[i] ^ dummy; p2[i] = p2[i] ^ dummy;); } #if defined(__cplusplus) } #endif #define __internal_Hacl_Bignum25519_51_H_DEFINED #endif