diff options
Diffstat (limited to 'security/nss/lib/freebl/verified/Hacl_Curve25519.c')
| -rw-r--r-- | security/nss/lib/freebl/verified/Hacl_Curve25519.c | 845 |
1 files changed, 845 insertions, 0 deletions
diff --git a/security/nss/lib/freebl/verified/Hacl_Curve25519.c b/security/nss/lib/freebl/verified/Hacl_Curve25519.c new file mode 100644 index 000000000..f2dcddc57 --- /dev/null +++ b/security/nss/lib/freebl/verified/Hacl_Curve25519.c @@ -0,0 +1,845 @@ +/* Copyright 2016-2017 INRIA and Microsoft Corporation + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#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); +} |