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authorwolfbeast <mcwerewolf@gmail.com>2018-02-23 11:04:39 +0100
committerwolfbeast <mcwerewolf@gmail.com>2018-06-05 22:24:08 +0200
commite10349ab8dda8a3f11be6aa19f2b6e29fe814044 (patch)
tree1a9b078b06a76af06839d407b7267880890afccc /security/nss/lib/freebl/verified/Hacl_Poly1305_64.c
parent75b3dd4cbffb6e4534128278300ed6c8a3ab7506 (diff)
downloaduxp-e10349ab8dda8a3f11be6aa19f2b6e29fe814044.tar.gz
Update NSS to 3.35-RTM
Diffstat (limited to 'security/nss/lib/freebl/verified/Hacl_Poly1305_64.c')
-rw-r--r--security/nss/lib/freebl/verified/Hacl_Poly1305_64.c485
1 files changed, 485 insertions, 0 deletions
diff --git a/security/nss/lib/freebl/verified/Hacl_Poly1305_64.c b/security/nss/lib/freebl/verified/Hacl_Poly1305_64.c
new file mode 100644
index 0000000000..984031ae21
--- /dev/null
+++ b/security/nss/lib/freebl/verified/Hacl_Poly1305_64.c
@@ -0,0 +1,485 @@
+/* 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_Poly1305_64.h"
+
+inline static void
+Hacl_Bignum_Modulo_reduce(uint64_t *b)
+{
+ uint64_t b0 = b[0U];
+ b[0U] = (b0 << (uint32_t)4U) + (b0 << (uint32_t)2U);
+}
+
+inline static void
+Hacl_Bignum_Modulo_carry_top(uint64_t *b)
+{
+ uint64_t b2 = b[2U];
+ uint64_t b0 = b[0U];
+ uint64_t b2_42 = b2 >> (uint32_t)42U;
+ b[2U] = b2 & (uint64_t)0x3ffffffffffU;
+ b[0U] = (b2_42 << (uint32_t)2U) + b2_42 + b0;
+}
+
+inline static void
+Hacl_Bignum_Modulo_carry_top_wide(FStar_UInt128_t *b)
+{
+ FStar_UInt128_t b2 = b[2U];
+ FStar_UInt128_t b0 = b[0U];
+ FStar_UInt128_t
+ b2_ = FStar_UInt128_logand(b2, FStar_UInt128_uint64_to_uint128((uint64_t)0x3ffffffffffU));
+ uint64_t b2_42 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b2, (uint32_t)42U));
+ FStar_UInt128_t
+ b0_ = FStar_UInt128_add(b0, FStar_UInt128_uint64_to_uint128((b2_42 << (uint32_t)2U) + b2_42));
+ b[2U] = b2_;
+ b[0U] = b0_;
+}
+
+inline static void
+Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t *output, FStar_UInt128_t *input)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
+ FStar_UInt128_t xi = input[i];
+ output[i] = 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)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
+ FStar_UInt128_t xi = output[i];
+ uint64_t yi = input[i];
+ output[i] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s));
+ }
+}
+
+inline static void
+Hacl_Bignum_Fproduct_carry_wide_(FStar_UInt128_t *tmp)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
+ uint32_t ctr = i;
+ 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)0xfffffffffffU;
+ FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)44U);
+ tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0);
+ tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c);
+ }
+}
+
+inline static void
+Hacl_Bignum_Fproduct_carry_limb_(uint64_t *tmp)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
+ uint32_t ctr = i;
+ uint64_t tctr = tmp[ctr];
+ uint64_t tctrp1 = tmp[ctr + (uint32_t)1U];
+ uint64_t r0 = tctr & (uint64_t)0xfffffffffffU;
+ uint64_t c = tctr >> (uint32_t)44U;
+ tmp[ctr] = r0;
+ tmp[ctr + (uint32_t)1U] = tctrp1 + c;
+ }
+}
+
+inline static void
+Hacl_Bignum_Fmul_shift_reduce(uint64_t *output)
+{
+ uint64_t tmp = output[2U];
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
+ uint32_t ctr = (uint32_t)3U - i - (uint32_t)1U;
+ uint64_t z = output[ctr - (uint32_t)1U];
+ output[ctr] = z;
+ }
+ output[0U] = tmp;
+ Hacl_Bignum_Modulo_reduce(output);
+}
+
+static void
+Hacl_Bignum_Fmul_mul_shift_reduce_(FStar_UInt128_t *output, uint64_t *input, uint64_t *input2)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
+ uint64_t input2i = input2[i];
+ Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i);
+ Hacl_Bignum_Fmul_shift_reduce(input);
+ }
+ uint32_t i = (uint32_t)2U;
+ uint64_t input2i = input2[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 *input2)
+{
+ uint64_t tmp[3U] = { 0U };
+ memcpy(tmp, input, (uint32_t)3U * sizeof input[0U]);
+ KRML_CHECK_SIZE(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)3U);
+ FStar_UInt128_t t[3U];
+ for (uint32_t _i = 0U; _i < (uint32_t)3U; ++_i)
+ t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input2);
+ Hacl_Bignum_Fproduct_carry_wide_(t);
+ Hacl_Bignum_Modulo_carry_top_wide(t);
+ Hacl_Bignum_Fproduct_copy_from_wide_(output, t);
+ uint64_t i0 = output[0U];
+ uint64_t i1 = output[1U];
+ uint64_t i0_ = i0 & (uint64_t)0xfffffffffffU;
+ uint64_t i1_ = i1 + (i0 >> (uint32_t)44U);
+ output[0U] = i0_;
+ output[1U] = i1_;
+}
+
+inline static void
+Hacl_Bignum_AddAndMultiply_add_and_multiply(uint64_t *acc, uint64_t *block, uint64_t *r)
+{
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
+ uint64_t xi = acc[i];
+ uint64_t yi = block[i];
+ acc[i] = xi + yi;
+ }
+ Hacl_Bignum_Fmul_fmul(acc, acc, r);
+}
+
+inline static void
+Hacl_Impl_Poly1305_64_poly1305_update(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m)
+{
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
+ uint64_t *h = scrut0.h;
+ uint64_t *acc = h;
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *r = scrut.r;
+ uint64_t *r3 = r;
+ uint64_t tmp[3U] = { 0U };
+ FStar_UInt128_t m0 = load128_le(m);
+ uint64_t r0 = FStar_UInt128_uint128_to_uint64(m0) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r1 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
+ uint64_t r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)88U));
+ tmp[0U] = r0;
+ tmp[1U] = r1;
+ tmp[2U] = r2;
+ uint64_t b2 = tmp[2U];
+ uint64_t b2_ = (uint64_t)0x10000000000U | b2;
+ tmp[2U] = b2_;
+ Hacl_Bignum_AddAndMultiply_add_and_multiply(acc, tmp, r3);
+}
+
+inline static void
+Hacl_Impl_Poly1305_64_poly1305_process_last_block_(
+ uint8_t *block,
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint64_t rem_)
+{
+ uint64_t tmp[3U] = { 0U };
+ FStar_UInt128_t m0 = load128_le(block);
+ uint64_t r0 = FStar_UInt128_uint128_to_uint64(m0) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r1 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
+ uint64_t r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)88U));
+ tmp[0U] = r0;
+ tmp[1U] = r1;
+ tmp[2U] = r2;
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
+ uint64_t *h = scrut0.h;
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *r = scrut.r;
+ Hacl_Bignum_AddAndMultiply_add_and_multiply(h, tmp, r);
+}
+
+inline static void
+Hacl_Impl_Poly1305_64_poly1305_process_last_block(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint64_t rem_)
+{
+ uint8_t zero1 = (uint8_t)0U;
+ KRML_CHECK_SIZE(zero1, (uint32_t)16U);
+ uint8_t block[16U];
+ for (uint32_t _i = 0U; _i < (uint32_t)16U; ++_i)
+ block[_i] = zero1;
+ uint32_t i0 = (uint32_t)rem_;
+ uint32_t i = (uint32_t)rem_;
+ memcpy(block, m, i * sizeof m[0U]);
+ block[i0] = (uint8_t)1U;
+ Hacl_Impl_Poly1305_64_poly1305_process_last_block_(block, st, m, rem_);
+}
+
+static void
+Hacl_Impl_Poly1305_64_poly1305_last_pass(uint64_t *acc)
+{
+ Hacl_Bignum_Fproduct_carry_limb_(acc);
+ Hacl_Bignum_Modulo_carry_top(acc);
+ uint64_t a0 = acc[0U];
+ uint64_t a10 = acc[1U];
+ uint64_t a20 = acc[2U];
+ uint64_t a0_ = a0 & (uint64_t)0xfffffffffffU;
+ uint64_t r0 = a0 >> (uint32_t)44U;
+ uint64_t a1_ = (a10 + r0) & (uint64_t)0xfffffffffffU;
+ uint64_t r1 = (a10 + r0) >> (uint32_t)44U;
+ uint64_t a2_ = a20 + r1;
+ acc[0U] = a0_;
+ acc[1U] = a1_;
+ acc[2U] = a2_;
+ Hacl_Bignum_Modulo_carry_top(acc);
+ uint64_t i0 = acc[0U];
+ uint64_t i1 = acc[1U];
+ uint64_t i0_ = i0 & (uint64_t)0xfffffffffffU;
+ uint64_t i1_ = i1 + (i0 >> (uint32_t)44U);
+ acc[0U] = i0_;
+ acc[1U] = i1_;
+ uint64_t a00 = acc[0U];
+ uint64_t a1 = acc[1U];
+ uint64_t a2 = acc[2U];
+ uint64_t mask0 = FStar_UInt64_gte_mask(a00, (uint64_t)0xffffffffffbU);
+ uint64_t mask1 = FStar_UInt64_eq_mask(a1, (uint64_t)0xfffffffffffU);
+ uint64_t mask2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x3ffffffffffU);
+ uint64_t mask = (mask0 & mask1) & mask2;
+ uint64_t a0_0 = a00 - ((uint64_t)0xffffffffffbU & mask);
+ uint64_t a1_0 = a1 - ((uint64_t)0xfffffffffffU & mask);
+ uint64_t a2_0 = a2 - ((uint64_t)0x3ffffffffffU & mask);
+ acc[0U] = a0_0;
+ acc[1U] = a1_0;
+ acc[2U] = a2_0;
+}
+
+static Hacl_Impl_Poly1305_64_State_poly1305_state
+Hacl_Impl_Poly1305_64_mk_state(uint64_t *r, uint64_t *h)
+{
+ return ((Hacl_Impl_Poly1305_64_State_poly1305_state){.r = r, .h = h });
+}
+
+static void
+Hacl_Standalone_Poly1305_64_poly1305_blocks(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint64_t len1)
+{
+ if (!(len1 == (uint64_t)0U)) {
+ uint8_t *block = m;
+ uint8_t *tail1 = m + (uint32_t)16U;
+ Hacl_Impl_Poly1305_64_poly1305_update(st, block);
+ uint64_t len2 = len1 - (uint64_t)1U;
+ Hacl_Standalone_Poly1305_64_poly1305_blocks(st, tail1, len2);
+ }
+}
+
+static void
+Hacl_Standalone_Poly1305_64_poly1305_partial(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *input,
+ uint64_t len1,
+ uint8_t *kr)
+{
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *r = scrut.r;
+ uint64_t *x0 = r;
+ FStar_UInt128_t k1 = load128_le(kr);
+ FStar_UInt128_t
+ k_clamped =
+ FStar_UInt128_logand(k1,
+ FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0ffffffcU),
+ (uint32_t)64U),
+ FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0fffffffU)));
+ uint64_t r0 = FStar_UInt128_uint128_to_uint64(k_clamped) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r1 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)88U));
+ x0[0U] = r0;
+ x0[1U] = r1;
+ x0[2U] = r2;
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
+ uint64_t *h = scrut0.h;
+ uint64_t *x00 = h;
+ x00[0U] = (uint64_t)0U;
+ x00[1U] = (uint64_t)0U;
+ x00[2U] = (uint64_t)0U;
+ Hacl_Standalone_Poly1305_64_poly1305_blocks(st, input, len1);
+}
+
+static void
+Hacl_Standalone_Poly1305_64_poly1305_complete(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint64_t len1,
+ uint8_t *k1)
+{
+ uint8_t *kr = k1;
+ uint64_t len16 = len1 >> (uint32_t)4U;
+ uint64_t rem16 = len1 & (uint64_t)0xfU;
+ uint8_t *part_input = m;
+ uint8_t *last_block = m + (uint32_t)((uint64_t)16U * len16);
+ Hacl_Standalone_Poly1305_64_poly1305_partial(st, part_input, len16, kr);
+ if (!(rem16 == (uint64_t)0U))
+ Hacl_Impl_Poly1305_64_poly1305_process_last_block(st, last_block, rem16);
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *h = scrut.h;
+ uint64_t *acc = h;
+ Hacl_Impl_Poly1305_64_poly1305_last_pass(acc);
+}
+
+static void
+Hacl_Standalone_Poly1305_64_crypto_onetimeauth_(
+ uint8_t *output,
+ uint8_t *input,
+ uint64_t len1,
+ uint8_t *k1)
+{
+ uint64_t buf[6U] = { 0U };
+ uint64_t *r = buf;
+ uint64_t *h = buf + (uint32_t)3U;
+ Hacl_Impl_Poly1305_64_State_poly1305_state st = Hacl_Impl_Poly1305_64_mk_state(r, h);
+ uint8_t *key_s = k1 + (uint32_t)16U;
+ Hacl_Standalone_Poly1305_64_poly1305_complete(st, input, len1, k1);
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *h3 = scrut.h;
+ uint64_t *acc = h3;
+ FStar_UInt128_t k_ = load128_le(key_s);
+ uint64_t h0 = acc[0U];
+ uint64_t h1 = acc[1U];
+ uint64_t h2 = acc[2U];
+ FStar_UInt128_t
+ acc_ =
+ FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128(h2
+ << (uint32_t)24U |
+ h1 >> (uint32_t)20U),
+ (uint32_t)64U),
+ FStar_UInt128_uint64_to_uint128(h1 << (uint32_t)44U | h0));
+ FStar_UInt128_t mac_ = FStar_UInt128_add_mod(acc_, k_);
+ store128_le(output, mac_);
+}
+
+static void
+Hacl_Standalone_Poly1305_64_crypto_onetimeauth(
+ uint8_t *output,
+ uint8_t *input,
+ uint64_t len1,
+ uint8_t *k1)
+{
+ Hacl_Standalone_Poly1305_64_crypto_onetimeauth_(output, input, len1, k1);
+}
+
+Hacl_Impl_Poly1305_64_State_poly1305_state
+Hacl_Poly1305_64_mk_state(uint64_t *r, uint64_t *acc)
+{
+ return Hacl_Impl_Poly1305_64_mk_state(r, acc);
+}
+
+void
+Hacl_Poly1305_64_init(Hacl_Impl_Poly1305_64_State_poly1305_state st, uint8_t *k1)
+{
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *r = scrut.r;
+ uint64_t *x0 = r;
+ FStar_UInt128_t k10 = load128_le(k1);
+ FStar_UInt128_t
+ k_clamped =
+ FStar_UInt128_logand(k10,
+ FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0ffffffcU),
+ (uint32_t)64U),
+ FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0fffffffU)));
+ uint64_t r0 = FStar_UInt128_uint128_to_uint64(k_clamped) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r1 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
+ uint64_t
+ r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)88U));
+ x0[0U] = r0;
+ x0[1U] = r1;
+ x0[2U] = r2;
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
+ uint64_t *h = scrut0.h;
+ uint64_t *x00 = h;
+ x00[0U] = (uint64_t)0U;
+ x00[1U] = (uint64_t)0U;
+ x00[2U] = (uint64_t)0U;
+}
+
+void
+Hacl_Poly1305_64_update_block(Hacl_Impl_Poly1305_64_State_poly1305_state st, uint8_t *m)
+{
+ Hacl_Impl_Poly1305_64_poly1305_update(st, m);
+}
+
+void
+Hacl_Poly1305_64_update(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint32_t num_blocks)
+{
+ if (!(num_blocks == (uint32_t)0U)) {
+ uint8_t *block = m;
+ uint8_t *m_ = m + (uint32_t)16U;
+ uint32_t n1 = num_blocks - (uint32_t)1U;
+ Hacl_Poly1305_64_update_block(st, block);
+ Hacl_Poly1305_64_update(st, m_, n1);
+ }
+}
+
+void
+Hacl_Poly1305_64_update_last(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *m,
+ uint32_t len1)
+{
+ if (!((uint64_t)len1 == (uint64_t)0U))
+ Hacl_Impl_Poly1305_64_poly1305_process_last_block(st, m, (uint64_t)len1);
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *h = scrut.h;
+ uint64_t *acc = h;
+ Hacl_Impl_Poly1305_64_poly1305_last_pass(acc);
+}
+
+void
+Hacl_Poly1305_64_finish(
+ Hacl_Impl_Poly1305_64_State_poly1305_state st,
+ uint8_t *mac,
+ uint8_t *k1)
+{
+ Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
+ uint64_t *h = scrut.h;
+ uint64_t *acc = h;
+ FStar_UInt128_t k_ = load128_le(k1);
+ uint64_t h0 = acc[0U];
+ uint64_t h1 = acc[1U];
+ uint64_t h2 = acc[2U];
+ FStar_UInt128_t
+ acc_ =
+ FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128(h2
+ << (uint32_t)24U |
+ h1 >> (uint32_t)20U),
+ (uint32_t)64U),
+ FStar_UInt128_uint64_to_uint128(h1 << (uint32_t)44U | h0));
+ FStar_UInt128_t mac_ = FStar_UInt128_add_mod(acc_, k_);
+ store128_le(mac, mac_);
+}
+
+void
+Hacl_Poly1305_64_crypto_onetimeauth(
+ uint8_t *output,
+ uint8_t *input,
+ uint64_t len1,
+ uint8_t *k1)
+{
+ Hacl_Standalone_Poly1305_64_crypto_onetimeauth(output, input, len1, k1);
+}