/* MIT License * * Copyright (c) 2016-2017 INRIA 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.h" 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, FStar_UInt128_t *input) { { FStar_UInt128_t xi = input[0U]; output[0U] = FStar_UInt128_uint128_to_uint64(xi); } { FStar_UInt128_t xi = input[1U]; output[1U] = FStar_UInt128_uint128_to_uint64(xi); } { FStar_UInt128_t xi = input[2U]; output[2U] = FStar_UInt128_uint128_to_uint64(xi); } { FStar_UInt128_t xi = input[3U]; output[3U] = FStar_UInt128_uint128_to_uint64(xi); } { FStar_UInt128_t xi = input[4U]; output[4U] = FStar_UInt128_uint128_to_uint64(xi); } } inline static void Hacl_Bignum_Fproduct_sum_scalar_multiplication_( FStar_UInt128_t *output, uint64_t *input, uint64_t s ) { { FStar_UInt128_t xi = output[0U]; uint64_t yi = input[0U]; output[0U] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); } { FStar_UInt128_t xi = output[1U]; uint64_t yi = input[1U]; output[1U] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); } { FStar_UInt128_t xi = output[2U]; uint64_t yi = input[2U]; output[2U] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); } { FStar_UInt128_t xi = output[3U]; uint64_t yi = input[3U]; output[3U] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); } { FStar_UInt128_t xi = output[4U]; uint64_t yi = input[4U]; output[4U] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); } } inline static void Hacl_Bignum_Fproduct_carry_wide_(FStar_UInt128_t *tmp) { { uint32_t ctr = (uint32_t)0U; FStar_UInt128_t tctr = tmp[ctr]; FStar_UInt128_t tctrp1 = tmp[ctr + (uint32_t)1U]; uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0x7ffffffffffffU; FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)51U); tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0); tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c); } { uint32_t ctr = (uint32_t)1U; FStar_UInt128_t tctr = tmp[ctr]; FStar_UInt128_t tctrp1 = tmp[ctr + (uint32_t)1U]; uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0x7ffffffffffffU; FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)51U); tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0); tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c); } { uint32_t ctr = (uint32_t)2U; FStar_UInt128_t tctr = tmp[ctr]; FStar_UInt128_t tctrp1 = tmp[ctr + (uint32_t)1U]; uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0x7ffffffffffffU; FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)51U); tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0); tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c); } { uint32_t ctr = (uint32_t)3U; FStar_UInt128_t tctr = tmp[ctr]; FStar_UInt128_t tctrp1 = tmp[ctr + (uint32_t)1U]; uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0x7ffffffffffffU; FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)51U); tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0); tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c); } } inline static void Hacl_Bignum_Fmul_shift_reduce(uint64_t *output) { uint64_t tmp = output[4U]; { uint32_t ctr = (uint32_t)5U - (uint32_t)0U - (uint32_t)1U; uint64_t z = output[ctr - (uint32_t)1U]; output[ctr] = z; } { uint32_t ctr = (uint32_t)5U - (uint32_t)1U - (uint32_t)1U; uint64_t z = output[ctr - (uint32_t)1U]; output[ctr] = z; } { uint32_t ctr = (uint32_t)5U - (uint32_t)2U - (uint32_t)1U; uint64_t z = output[ctr - (uint32_t)1U]; output[ctr] = z; } { uint32_t ctr = (uint32_t)5U - (uint32_t)3U - (uint32_t)1U; uint64_t z = output[ctr - (uint32_t)1U]; output[ctr] = z; } output[0U] = tmp; uint64_t b0 = output[0U]; output[0U] = (uint64_t)19U * b0; } static void Hacl_Bignum_Fmul_mul_shift_reduce_(FStar_UInt128_t *output, uint64_t *input, uint64_t *input21) { { uint64_t input2i = input21[0U]; Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i); Hacl_Bignum_Fmul_shift_reduce(input); } { uint64_t input2i = input21[1U]; Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i); Hacl_Bignum_Fmul_shift_reduce(input); } { uint64_t input2i = input21[2U]; Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i); Hacl_Bignum_Fmul_shift_reduce(input); } { uint64_t input2i = input21[3U]; Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i); Hacl_Bignum_Fmul_shift_reduce(input); } uint32_t i = (uint32_t)4U; uint64_t input2i = input21[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 *input21) { uint64_t tmp[5U] = { 0U }; memcpy(tmp, input, (uint32_t)5U * sizeof input[0U]); KRML_CHECK_SIZE(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)5U); FStar_UInt128_t t[5U]; for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i) t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input21); Hacl_Bignum_Fproduct_carry_wide_(t); FStar_UInt128_t b4 = t[4U]; FStar_UInt128_t b0 = t[0U]; FStar_UInt128_t b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); FStar_UInt128_t b0_ = FStar_UInt128_add(b0, FStar_UInt128_mul_wide((uint64_t)19U, FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b4, (uint32_t)51U)))); t[4U] = b4_; t[0U] = b0_; Hacl_Bignum_Fproduct_copy_from_wide_(output, t); uint64_t i0 = output[0U]; uint64_t i1 = output[1U]; uint64_t i0_ = i0 & (uint64_t)0x7ffffffffffffU; uint64_t i1_ = i1 + (i0 >> (uint32_t)51U); output[0U] = i0_; output[1U] = i1_; } inline static void Hacl_Bignum_Fsquare_fsquare__(FStar_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; FStar_UInt128_t s0 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(r0, r0), FStar_UInt128_mul_wide(d4, r1)), FStar_UInt128_mul_wide(d2, r3)); FStar_UInt128_t s1 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r1), FStar_UInt128_mul_wide(d4, r2)), FStar_UInt128_mul_wide(r3 * (uint64_t)19U, r3)); FStar_UInt128_t s2 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r2), FStar_UInt128_mul_wide(r1, r1)), FStar_UInt128_mul_wide(d4, r3)); FStar_UInt128_t s3 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r3), FStar_UInt128_mul_wide(d1, r2)), FStar_UInt128_mul_wide(r4, d419)); FStar_UInt128_t s4 = FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r4), FStar_UInt128_mul_wide(d1, r3)), FStar_UInt128_mul_wide(r2, r2)); tmp[0U] = s0; tmp[1U] = s1; tmp[2U] = s2; tmp[3U] = s3; tmp[4U] = s4; } inline static void Hacl_Bignum_Fsquare_fsquare_(FStar_UInt128_t *tmp, uint64_t *output) { Hacl_Bignum_Fsquare_fsquare__(tmp, output); Hacl_Bignum_Fproduct_carry_wide_(tmp); FStar_UInt128_t b4 = tmp[4U]; FStar_UInt128_t b0 = tmp[0U]; FStar_UInt128_t b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); FStar_UInt128_t b0_ = FStar_UInt128_add(b0, FStar_UInt128_mul_wide((uint64_t)19U, FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b4, (uint32_t)51U)))); tmp[4U] = b4_; tmp[0U] = b0_; Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp); uint64_t i0 = output[0U]; uint64_t i1 = output[1U]; uint64_t i0_ = i0 & (uint64_t)0x7ffffffffffffU; uint64_t i1_ = i1 + (i0 >> (uint32_t)51U); output[0U] = i0_; output[1U] = i1_; } static void Hacl_Bignum_Fsquare_fsquare_times_(uint64_t *input, FStar_UInt128_t *tmp, uint32_t count1) { Hacl_Bignum_Fsquare_fsquare_(tmp, input); for (uint32_t 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(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)5U); FStar_UInt128_t t[5U]; for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i) t[_i] = FStar_UInt128_uint64_to_uint128((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(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)5U); FStar_UInt128_t t[5U]; for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i) t[_i] = FStar_UInt128_uint64_to_uint128((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 *a = buf; uint64_t *t00 = buf + (uint32_t)5U; uint64_t *b0 = buf + (uint32_t)10U; Hacl_Bignum_Fsquare_fsquare_times(a, z, (uint32_t)1U); Hacl_Bignum_Fsquare_fsquare_times(t00, a, (uint32_t)2U); Hacl_Bignum_Fmul_fmul(b0, t00, z); Hacl_Bignum_Fmul_fmul(a, b0, a); Hacl_Bignum_Fsquare_fsquare_times(t00, a, (uint32_t)1U); Hacl_Bignum_Fmul_fmul(b0, t00, b0); Hacl_Bignum_Fsquare_fsquare_times(t00, b0, (uint32_t)5U); uint64_t *t01 = buf + (uint32_t)5U; uint64_t *b1 = buf + (uint32_t)10U; uint64_t *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); uint64_t *a0 = buf; uint64_t *t0 = buf + (uint32_t)5U; uint64_t *b = buf + (uint32_t)10U; uint64_t *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, a0); } inline static void Hacl_Bignum_fsum(uint64_t *a, uint64_t *b) { { uint64_t xi = a[0U]; uint64_t yi = b[0U]; a[0U] = xi + yi; } { uint64_t xi = a[1U]; uint64_t yi = b[1U]; a[1U] = xi + yi; } { uint64_t xi = a[2U]; uint64_t yi = b[2U]; a[2U] = xi + yi; } { uint64_t xi = a[3U]; uint64_t yi = b[3U]; a[3U] = xi + yi; } { uint64_t xi = a[4U]; uint64_t yi = b[4U]; a[4U] = xi + yi; } } inline static void Hacl_Bignum_fdifference(uint64_t *a, uint64_t *b) { uint64_t tmp[5U] = { 0U }; memcpy(tmp, b, (uint32_t)5U * sizeof b[0U]); uint64_t b0 = tmp[0U]; uint64_t b1 = tmp[1U]; uint64_t b2 = tmp[2U]; uint64_t b3 = tmp[3U]; uint64_t 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; { uint64_t xi = a[0U]; uint64_t yi = tmp[0U]; a[0U] = yi - xi; } { uint64_t xi = a[1U]; uint64_t yi = tmp[1U]; a[1U] = yi - xi; } { uint64_t xi = a[2U]; uint64_t yi = tmp[2U]; a[2U] = yi - xi; } { uint64_t xi = a[3U]; uint64_t yi = tmp[3U]; a[3U] = yi - xi; } { uint64_t xi = a[4U]; uint64_t yi = tmp[4U]; a[4U] = yi - xi; } } inline static void Hacl_Bignum_fscalar(uint64_t *output, uint64_t *b, uint64_t s) { KRML_CHECK_SIZE(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)5U); FStar_UInt128_t tmp[5U]; for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i) tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); { uint64_t xi = b[0U]; tmp[0U] = FStar_UInt128_mul_wide(xi, s); } { uint64_t xi = b[1U]; tmp[1U] = FStar_UInt128_mul_wide(xi, s); } { uint64_t xi = b[2U]; tmp[2U] = FStar_UInt128_mul_wide(xi, s); } { uint64_t xi = b[3U]; tmp[3U] = FStar_UInt128_mul_wide(xi, s); } { uint64_t xi = b[4U]; tmp[4U] = FStar_UInt128_mul_wide(xi, s); } Hacl_Bignum_Fproduct_carry_wide_(tmp); FStar_UInt128_t b4 = tmp[4U]; FStar_UInt128_t b0 = tmp[0U]; FStar_UInt128_t b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); FStar_UInt128_t b0_ = FStar_UInt128_add(b0, FStar_UInt128_mul_wide((uint64_t)19U, FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(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)) { Hacl_EC_Point_swap_conditional_step(a, b, swap1, ctr); uint32_t 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_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 *origxprime = buf + (uint32_t)5U; uint64_t *xxprime0 = buf + (uint32_t)25U; uint64_t *zzprime0 = buf + (uint32_t)30U; memcpy(origx, x, (uint32_t)5U * sizeof x[0U]); Hacl_Bignum_fsum(x, z); Hacl_Bignum_fdifference(z, origx); memcpy(origxprime, xprime, (uint32_t)5U * sizeof xprime[0U]); Hacl_Bignum_fsum(xprime, zprime); Hacl_Bignum_fdifference(zprime, origxprime); Hacl_Bignum_fmul(xxprime0, xprime, z); Hacl_Bignum_fmul(zzprime0, x, zprime); uint64_t *origxprime0 = buf + (uint32_t)5U; uint64_t *xx0 = buf + (uint32_t)15U; uint64_t *zz0 = buf + (uint32_t)20U; uint64_t *xxprime = buf + (uint32_t)25U; uint64_t *zzprime = buf + (uint32_t)30U; uint64_t *zzzprime = buf + (uint32_t)35U; memcpy(origxprime0, xxprime, (uint32_t)5U * sizeof xxprime[0U]); Hacl_Bignum_fsum(xxprime, zzprime); Hacl_Bignum_fdifference(zzprime, origxprime0); 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); uint64_t *zzz = buf + (uint32_t)10U; uint64_t *xx = buf + (uint32_t)15U; uint64_t *zz = buf + (uint32_t)20U; Hacl_Bignum_fmul(x2, xx, zz); Hacl_Bignum_fdifference(zz, xx); uint64_t 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 bit = (uint64_t)(byt >> (uint32_t)7U); Hacl_EC_Point_swap_conditional(nq, nqpq, bit); Hacl_EC_AddAndDouble_fmonty(nq2, nqpq2, nq, nqpq, q); uint64_t bit0 = (uint64_t)(byt >> (uint32_t)7U); Hacl_EC_Point_swap_conditional(nq2, nqpq2, bit0); } 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 ) { Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt); uint8_t 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; Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt); uint8_t 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); } 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) { Hacl_EC_Format_fcontract_second_carry_pass(input); Hacl_Bignum_Modulo_carry_top(input); uint64_t i0 = input[0U]; uint64_t i1 = input[1U]; uint64_t i0_ = i0 & (uint64_t)0x7ffffffffffffU; uint64_t 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); } void Hacl_EC_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; Hacl_EC_Format_fexpand(x0, basepoint); z[0U] = (uint64_t)1U; uint64_t *q = buf0; uint8_t e[32U] = { 0U }; memcpy(e, secret, (uint32_t)32U * sizeof secret[0U]); uint8_t e0 = e[0U]; uint8_t e31 = e[31U]; uint8_t e01 = e0 & (uint8_t)248U; uint8_t e311 = e31 & (uint8_t)127U; uint8_t e312 = e311 | (uint8_t)64U; e[0U] = e01; e[31U] = e312; uint8_t *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); } void Hacl_Curve25519_crypto_scalarmult(uint8_t *mypublic, uint8_t *secret, uint8_t *basepoint) { Hacl_EC_crypto_scalarmult(mypublic, secret, basepoint); }