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Diffstat (limited to 'security/nss/lib/freebl/verified/Hacl_Ed25519.c')
-rw-r--r--security/nss/lib/freebl/verified/Hacl_Ed25519.c1853
1 files changed, 1853 insertions, 0 deletions
diff --git a/security/nss/lib/freebl/verified/Hacl_Ed25519.c b/security/nss/lib/freebl/verified/Hacl_Ed25519.c
new file mode 100644
index 0000000000..f7a5ea6d75
--- /dev/null
+++ b/security/nss/lib/freebl/verified/Hacl_Ed25519.c
@@ -0,0 +1,1853 @@
+/* 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.
+ */
+
+#include "internal/Hacl_Ed25519.h"
+
+#include "internal/Hacl_Krmllib.h"
+#include "internal/Hacl_Ed25519_PrecompTable.h"
+#include "internal/Hacl_Curve25519_51.h"
+#include "internal/Hacl_Bignum_Base.h"
+#include "internal/Hacl_Bignum25519_51.h"
+
+#include "../Hacl_Hash_SHA2_shim.h"
+
+static inline void
+fsum(uint64_t *out, uint64_t *a, uint64_t *b)
+{
+ Hacl_Impl_Curve25519_Field51_fadd(out, a, b);
+}
+
+static inline void
+fdifference(uint64_t *out, uint64_t *a, uint64_t *b)
+{
+ Hacl_Impl_Curve25519_Field51_fsub(out, a, b);
+}
+
+void
+Hacl_Bignum25519_reduce_513(uint64_t *a)
+{
+ uint64_t f0 = a[0U];
+ uint64_t f1 = a[1U];
+ uint64_t f2 = a[2U];
+ uint64_t f3 = a[3U];
+ uint64_t f4 = a[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;
+ a[0U] = tmp0_;
+ a[1U] = tmp1 + c5;
+ a[2U] = tmp2;
+ a[3U] = tmp3;
+ a[4U] = tmp4;
+}
+
+static inline void
+fmul0(uint64_t *output, uint64_t *input, uint64_t *input2)
+{
+ FStar_UInt128_uint128 tmp[10U];
+ for (uint32_t _i = 0U; _i < (uint32_t)10U; ++_i)
+ tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Impl_Curve25519_Field51_fmul(output, input, input2, tmp);
+}
+
+static inline void
+times_2(uint64_t *out, uint64_t *a)
+{
+ uint64_t a0 = a[0U];
+ uint64_t a1 = a[1U];
+ uint64_t a2 = a[2U];
+ uint64_t a3 = a[3U];
+ uint64_t a4 = a[4U];
+ uint64_t o0 = (uint64_t)2U * a0;
+ uint64_t o1 = (uint64_t)2U * a1;
+ uint64_t o2 = (uint64_t)2U * a2;
+ uint64_t o3 = (uint64_t)2U * a3;
+ uint64_t o4 = (uint64_t)2U * a4;
+ out[0U] = o0;
+ out[1U] = o1;
+ out[2U] = o2;
+ out[3U] = o3;
+ out[4U] = o4;
+}
+
+static inline void
+times_d(uint64_t *out, uint64_t *a)
+{
+ uint64_t d[5U] = { 0U };
+ d[0U] = (uint64_t)0x00034dca135978a3U;
+ d[1U] = (uint64_t)0x0001a8283b156ebdU;
+ d[2U] = (uint64_t)0x0005e7a26001c029U;
+ d[3U] = (uint64_t)0x000739c663a03cbbU;
+ d[4U] = (uint64_t)0x00052036cee2b6ffU;
+ fmul0(out, d, a);
+}
+
+static inline void
+times_2d(uint64_t *out, uint64_t *a)
+{
+ uint64_t d2[5U] = { 0U };
+ d2[0U] = (uint64_t)0x00069b9426b2f159U;
+ d2[1U] = (uint64_t)0x00035050762add7aU;
+ d2[2U] = (uint64_t)0x0003cf44c0038052U;
+ d2[3U] = (uint64_t)0x0006738cc7407977U;
+ d2[4U] = (uint64_t)0x0002406d9dc56dffU;
+ fmul0(out, d2, a);
+}
+
+static inline void
+fsquare(uint64_t *out, uint64_t *a)
+{
+ FStar_UInt128_uint128 tmp[5U];
+ for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
+ tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Impl_Curve25519_Field51_fsqr(out, a, tmp);
+}
+
+static inline void
+fsquare_times(uint64_t *output, uint64_t *input, uint32_t count)
+{
+ FStar_UInt128_uint128 tmp[5U];
+ for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
+ tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Curve25519_51_fsquare_times(output, input, tmp, count);
+}
+
+static inline void
+fsquare_times_inplace(uint64_t *output, uint32_t count)
+{
+ FStar_UInt128_uint128 tmp[5U];
+ for (uint32_t _i = 0U; _i < (uint32_t)5U; ++_i)
+ tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Curve25519_51_fsquare_times(output, output, tmp, count);
+}
+
+void
+Hacl_Bignum25519_inverse(uint64_t *out, uint64_t *a)
+{
+ FStar_UInt128_uint128 tmp[10U];
+ for (uint32_t _i = 0U; _i < (uint32_t)10U; ++_i)
+ tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
+ Hacl_Curve25519_51_finv(out, a, tmp);
+}
+
+static inline void
+reduce(uint64_t *out)
+{
+ uint64_t o0 = out[0U];
+ uint64_t o1 = out[1U];
+ uint64_t o2 = out[2U];
+ uint64_t o3 = out[3U];
+ uint64_t o4 = out[4U];
+ uint64_t l_ = o0 + (uint64_t)0U;
+ uint64_t tmp0 = l_ & (uint64_t)0x7ffffffffffffU;
+ uint64_t c0 = l_ >> (uint32_t)51U;
+ uint64_t l_0 = o1 + c0;
+ uint64_t tmp1 = l_0 & (uint64_t)0x7ffffffffffffU;
+ uint64_t c1 = l_0 >> (uint32_t)51U;
+ uint64_t l_1 = o2 + c1;
+ uint64_t tmp2 = l_1 & (uint64_t)0x7ffffffffffffU;
+ uint64_t c2 = l_1 >> (uint32_t)51U;
+ uint64_t l_2 = o3 + c2;
+ uint64_t tmp3 = l_2 & (uint64_t)0x7ffffffffffffU;
+ uint64_t c3 = l_2 >> (uint32_t)51U;
+ uint64_t l_3 = o4 + 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 f0 = tmp0_;
+ uint64_t f1 = tmp1 + c5;
+ uint64_t f2 = tmp2;
+ uint64_t f3 = tmp3;
+ uint64_t f4 = tmp4;
+ uint64_t m0 = FStar_UInt64_gte_mask(f0, (uint64_t)0x7ffffffffffedU);
+ uint64_t m1 = FStar_UInt64_eq_mask(f1, (uint64_t)0x7ffffffffffffU);
+ uint64_t m2 = FStar_UInt64_eq_mask(f2, (uint64_t)0x7ffffffffffffU);
+ uint64_t m3 = FStar_UInt64_eq_mask(f3, (uint64_t)0x7ffffffffffffU);
+ uint64_t m4 = FStar_UInt64_eq_mask(f4, (uint64_t)0x7ffffffffffffU);
+ uint64_t mask = (((m0 & m1) & m2) & m3) & m4;
+ uint64_t f0_ = f0 - (mask & (uint64_t)0x7ffffffffffedU);
+ uint64_t f1_ = f1 - (mask & (uint64_t)0x7ffffffffffffU);
+ uint64_t f2_ = f2 - (mask & (uint64_t)0x7ffffffffffffU);
+ uint64_t f3_ = f3 - (mask & (uint64_t)0x7ffffffffffffU);
+ uint64_t f4_ = f4 - (mask & (uint64_t)0x7ffffffffffffU);
+ uint64_t f01 = f0_;
+ uint64_t f11 = f1_;
+ uint64_t f21 = f2_;
+ uint64_t f31 = f3_;
+ uint64_t f41 = f4_;
+ out[0U] = f01;
+ out[1U] = f11;
+ out[2U] = f21;
+ out[3U] = f31;
+ out[4U] = f41;
+}
+
+void
+Hacl_Bignum25519_load_51(uint64_t *output, uint8_t *input)
+{
+ uint64_t u64s[4U] = { 0U };
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ uint64_t *os = u64s;
+ uint8_t *bj = input + i * (uint32_t)8U;
+ uint64_t u = load64_le(bj);
+ uint64_t r = u;
+ uint64_t x = r;
+ os[i] = x;);
+ uint64_t u64s3 = u64s[3U];
+ u64s[3U] = u64s3 & (uint64_t)0x7fffffffffffffffU;
+ output[0U] = u64s[0U] & (uint64_t)0x7ffffffffffffU;
+ output[1U] = u64s[0U] >> (uint32_t)51U | (u64s[1U] & (uint64_t)0x3fffffffffU) << (uint32_t)13U;
+ output[2U] = u64s[1U] >> (uint32_t)38U | (u64s[2U] & (uint64_t)0x1ffffffU) << (uint32_t)26U;
+ output[3U] = u64s[2U] >> (uint32_t)25U | (u64s[3U] & (uint64_t)0xfffU) << (uint32_t)39U;
+ output[4U] = u64s[3U] >> (uint32_t)12U;
+}
+
+void
+Hacl_Bignum25519_store_51(uint8_t *output, uint64_t *input)
+{
+ uint64_t u64s[4U] = { 0U };
+ Hacl_Impl_Curve25519_Field51_store_felem(u64s, input);
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ store64_le(output + i * (uint32_t)8U, u64s[i]););
+}
+
+void
+Hacl_Impl_Ed25519_PointDouble_point_double(uint64_t *out, uint64_t *p)
+{
+ uint64_t tmp[20U] = { 0U };
+ uint64_t *tmp1 = tmp;
+ uint64_t *tmp20 = tmp + (uint32_t)5U;
+ uint64_t *tmp30 = tmp + (uint32_t)10U;
+ uint64_t *tmp40 = tmp + (uint32_t)15U;
+ uint64_t *x10 = p;
+ uint64_t *y10 = p + (uint32_t)5U;
+ uint64_t *z1 = p + (uint32_t)10U;
+ fsquare(tmp1, x10);
+ fsquare(tmp20, y10);
+ fsum(tmp30, tmp1, tmp20);
+ fdifference(tmp40, tmp1, tmp20);
+ fsquare(tmp1, z1);
+ times_2(tmp1, tmp1);
+ uint64_t *tmp10 = tmp;
+ uint64_t *tmp2 = tmp + (uint32_t)5U;
+ uint64_t *tmp3 = tmp + (uint32_t)10U;
+ uint64_t *tmp4 = tmp + (uint32_t)15U;
+ uint64_t *x1 = p;
+ uint64_t *y1 = p + (uint32_t)5U;
+ fsum(tmp2, x1, y1);
+ fsquare(tmp2, tmp2);
+ Hacl_Bignum25519_reduce_513(tmp3);
+ fdifference(tmp2, tmp3, tmp2);
+ Hacl_Bignum25519_reduce_513(tmp10);
+ Hacl_Bignum25519_reduce_513(tmp4);
+ fsum(tmp10, tmp10, tmp4);
+ uint64_t *tmp_f = tmp;
+ uint64_t *tmp_e = tmp + (uint32_t)5U;
+ uint64_t *tmp_h = tmp + (uint32_t)10U;
+ uint64_t *tmp_g = tmp + (uint32_t)15U;
+ uint64_t *x3 = out;
+ uint64_t *y3 = out + (uint32_t)5U;
+ uint64_t *z3 = out + (uint32_t)10U;
+ uint64_t *t3 = out + (uint32_t)15U;
+ fmul0(x3, tmp_e, tmp_f);
+ fmul0(y3, tmp_g, tmp_h);
+ fmul0(t3, tmp_e, tmp_h);
+ fmul0(z3, tmp_f, tmp_g);
+}
+
+void
+Hacl_Impl_Ed25519_PointAdd_point_add(uint64_t *out, uint64_t *p, uint64_t *q)
+{
+ uint64_t tmp[30U] = { 0U };
+ uint64_t *tmp1 = tmp;
+ uint64_t *tmp20 = tmp + (uint32_t)5U;
+ uint64_t *tmp30 = tmp + (uint32_t)10U;
+ uint64_t *tmp40 = tmp + (uint32_t)15U;
+ uint64_t *x1 = p;
+ uint64_t *y1 = p + (uint32_t)5U;
+ uint64_t *x2 = q;
+ uint64_t *y2 = q + (uint32_t)5U;
+ fdifference(tmp1, y1, x1);
+ fdifference(tmp20, y2, x2);
+ fmul0(tmp30, tmp1, tmp20);
+ fsum(tmp1, y1, x1);
+ fsum(tmp20, y2, x2);
+ fmul0(tmp40, tmp1, tmp20);
+ uint64_t *tmp10 = tmp;
+ uint64_t *tmp2 = tmp + (uint32_t)5U;
+ uint64_t *tmp3 = tmp + (uint32_t)10U;
+ uint64_t *tmp4 = tmp + (uint32_t)15U;
+ uint64_t *tmp5 = tmp + (uint32_t)20U;
+ uint64_t *tmp6 = tmp + (uint32_t)25U;
+ uint64_t *z1 = p + (uint32_t)10U;
+ uint64_t *t1 = p + (uint32_t)15U;
+ uint64_t *z2 = q + (uint32_t)10U;
+ uint64_t *t2 = q + (uint32_t)15U;
+ times_2d(tmp10, t1);
+ fmul0(tmp10, tmp10, t2);
+ times_2(tmp2, z1);
+ fmul0(tmp2, tmp2, z2);
+ fdifference(tmp5, tmp4, tmp3);
+ fdifference(tmp6, tmp2, tmp10);
+ fsum(tmp10, tmp2, tmp10);
+ fsum(tmp2, tmp4, tmp3);
+ uint64_t *tmp_g = tmp;
+ uint64_t *tmp_h = tmp + (uint32_t)5U;
+ uint64_t *tmp_e = tmp + (uint32_t)20U;
+ uint64_t *tmp_f = tmp + (uint32_t)25U;
+ uint64_t *x3 = out;
+ uint64_t *y3 = out + (uint32_t)5U;
+ uint64_t *z3 = out + (uint32_t)10U;
+ uint64_t *t3 = out + (uint32_t)15U;
+ fmul0(x3, tmp_e, tmp_f);
+ fmul0(y3, tmp_g, tmp_h);
+ fmul0(t3, tmp_e, tmp_h);
+ fmul0(z3, tmp_f, tmp_g);
+}
+
+void
+Hacl_Impl_Ed25519_PointConstants_make_point_inf(uint64_t *b)
+{
+ uint64_t *x = b;
+ uint64_t *y = b + (uint32_t)5U;
+ uint64_t *z = b + (uint32_t)10U;
+ uint64_t *t = b + (uint32_t)15U;
+ x[0U] = (uint64_t)0U;
+ x[1U] = (uint64_t)0U;
+ x[2U] = (uint64_t)0U;
+ x[3U] = (uint64_t)0U;
+ x[4U] = (uint64_t)0U;
+ y[0U] = (uint64_t)1U;
+ y[1U] = (uint64_t)0U;
+ y[2U] = (uint64_t)0U;
+ y[3U] = (uint64_t)0U;
+ y[4U] = (uint64_t)0U;
+ z[0U] = (uint64_t)1U;
+ z[1U] = (uint64_t)0U;
+ z[2U] = (uint64_t)0U;
+ z[3U] = (uint64_t)0U;
+ z[4U] = (uint64_t)0U;
+ t[0U] = (uint64_t)0U;
+ t[1U] = (uint64_t)0U;
+ t[2U] = (uint64_t)0U;
+ t[3U] = (uint64_t)0U;
+ t[4U] = (uint64_t)0U;
+}
+
+static inline void
+pow2_252m2(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;
+ uint64_t *c0 = buf + (uint32_t)15U;
+ fsquare_times(a, z, (uint32_t)1U);
+ fsquare_times(t00, a, (uint32_t)2U);
+ fmul0(b0, t00, z);
+ fmul0(a, b0, a);
+ fsquare_times(t00, a, (uint32_t)1U);
+ fmul0(b0, t00, b0);
+ fsquare_times(t00, b0, (uint32_t)5U);
+ fmul0(b0, t00, b0);
+ fsquare_times(t00, b0, (uint32_t)10U);
+ fmul0(c0, t00, b0);
+ fsquare_times(t00, c0, (uint32_t)20U);
+ fmul0(t00, t00, c0);
+ fsquare_times_inplace(t00, (uint32_t)10U);
+ fmul0(b0, t00, b0);
+ fsquare_times(t00, b0, (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;
+ fsquare_times(a0, z, (uint32_t)1U);
+ fmul0(c, t0, b);
+ fsquare_times(t0, c, (uint32_t)100U);
+ fmul0(t0, t0, c);
+ fsquare_times_inplace(t0, (uint32_t)50U);
+ fmul0(t0, t0, b);
+ fsquare_times_inplace(t0, (uint32_t)2U);
+ fmul0(out, t0, a0);
+}
+
+static inline bool
+is_0(uint64_t *x)
+{
+ uint64_t x0 = x[0U];
+ uint64_t x1 = x[1U];
+ uint64_t x2 = x[2U];
+ uint64_t x3 = x[3U];
+ uint64_t x4 = x[4U];
+ return x0 == (uint64_t)0U && x1 == (uint64_t)0U && x2 == (uint64_t)0U && x3 == (uint64_t)0U && x4 == (uint64_t)0U;
+}
+
+static inline void
+mul_modp_sqrt_m1(uint64_t *x)
+{
+ uint64_t sqrt_m1[5U] = { 0U };
+ sqrt_m1[0U] = (uint64_t)0x00061b274a0ea0b0U;
+ sqrt_m1[1U] = (uint64_t)0x0000d5a5fc8f189dU;
+ sqrt_m1[2U] = (uint64_t)0x0007ef5e9cbd0c60U;
+ sqrt_m1[3U] = (uint64_t)0x00078595a6804c9eU;
+ sqrt_m1[4U] = (uint64_t)0x0002b8324804fc1dU;
+ fmul0(x, x, sqrt_m1);
+}
+
+static inline bool
+recover_x(uint64_t *x, uint64_t *y, uint64_t sign)
+{
+ uint64_t tmp[15U] = { 0U };
+ uint64_t *x2 = tmp;
+ uint64_t x00 = y[0U];
+ uint64_t x1 = y[1U];
+ uint64_t x21 = y[2U];
+ uint64_t x30 = y[3U];
+ uint64_t x4 = y[4U];
+ bool
+ b =
+ x00 >= (uint64_t)0x7ffffffffffedU && x1 == (uint64_t)0x7ffffffffffffU && x21 == (uint64_t)0x7ffffffffffffU && x30 == (uint64_t)0x7ffffffffffffU && x4 == (uint64_t)0x7ffffffffffffU;
+ bool res;
+ if (b) {
+ res = false;
+ } else {
+ uint64_t tmp1[20U] = { 0U };
+ uint64_t *one = tmp1;
+ uint64_t *y2 = tmp1 + (uint32_t)5U;
+ uint64_t *dyyi = tmp1 + (uint32_t)10U;
+ uint64_t *dyy = tmp1 + (uint32_t)15U;
+ one[0U] = (uint64_t)1U;
+ one[1U] = (uint64_t)0U;
+ one[2U] = (uint64_t)0U;
+ one[3U] = (uint64_t)0U;
+ one[4U] = (uint64_t)0U;
+ fsquare(y2, y);
+ times_d(dyy, y2);
+ fsum(dyy, dyy, one);
+ Hacl_Bignum25519_reduce_513(dyy);
+ Hacl_Bignum25519_inverse(dyyi, dyy);
+ fdifference(x2, y2, one);
+ fmul0(x2, x2, dyyi);
+ reduce(x2);
+ bool x2_is_0 = is_0(x2);
+ uint8_t z;
+ if (x2_is_0) {
+ if (sign == (uint64_t)0U) {
+ x[0U] = (uint64_t)0U;
+ x[1U] = (uint64_t)0U;
+ x[2U] = (uint64_t)0U;
+ x[3U] = (uint64_t)0U;
+ x[4U] = (uint64_t)0U;
+ z = (uint8_t)1U;
+ } else {
+ z = (uint8_t)0U;
+ }
+ } else {
+ z = (uint8_t)2U;
+ }
+ if (z == (uint8_t)0U) {
+ res = false;
+ } else if (z == (uint8_t)1U) {
+ res = true;
+ } else {
+ uint64_t *x210 = tmp;
+ uint64_t *x31 = tmp + (uint32_t)5U;
+ uint64_t *t00 = tmp + (uint32_t)10U;
+ pow2_252m2(x31, x210);
+ fsquare(t00, x31);
+ fdifference(t00, t00, x210);
+ Hacl_Bignum25519_reduce_513(t00);
+ reduce(t00);
+ bool t0_is_0 = is_0(t00);
+ if (!t0_is_0) {
+ mul_modp_sqrt_m1(x31);
+ }
+ uint64_t *x211 = tmp;
+ uint64_t *x3 = tmp + (uint32_t)5U;
+ uint64_t *t01 = tmp + (uint32_t)10U;
+ fsquare(t01, x3);
+ fdifference(t01, t01, x211);
+ Hacl_Bignum25519_reduce_513(t01);
+ reduce(t01);
+ bool z1 = is_0(t01);
+ if (z1 == false) {
+ res = false;
+ } else {
+ uint64_t *x32 = tmp + (uint32_t)5U;
+ uint64_t *t0 = tmp + (uint32_t)10U;
+ reduce(x32);
+ uint64_t x0 = x32[0U];
+ uint64_t x01 = x0 & (uint64_t)1U;
+ if (!(x01 == sign)) {
+ t0[0U] = (uint64_t)0U;
+ t0[1U] = (uint64_t)0U;
+ t0[2U] = (uint64_t)0U;
+ t0[3U] = (uint64_t)0U;
+ t0[4U] = (uint64_t)0U;
+ fdifference(x32, t0, x32);
+ Hacl_Bignum25519_reduce_513(x32);
+ reduce(x32);
+ }
+ memcpy(x, x32, (uint32_t)5U * sizeof(uint64_t));
+ res = true;
+ }
+ }
+ }
+ bool res0 = res;
+ return res0;
+}
+
+bool
+Hacl_Impl_Ed25519_PointDecompress_point_decompress(uint64_t *out, uint8_t *s)
+{
+ uint64_t tmp[10U] = { 0U };
+ uint64_t *y = tmp;
+ uint64_t *x = tmp + (uint32_t)5U;
+ uint8_t s31 = s[31U];
+ uint8_t z = s31 >> (uint32_t)7U;
+ uint64_t sign = (uint64_t)z;
+ Hacl_Bignum25519_load_51(y, s);
+ bool z0 = recover_x(x, y, sign);
+ bool res;
+ if (z0 == false) {
+ res = false;
+ } else {
+ uint64_t *outx = out;
+ uint64_t *outy = out + (uint32_t)5U;
+ uint64_t *outz = out + (uint32_t)10U;
+ uint64_t *outt = out + (uint32_t)15U;
+ memcpy(outx, x, (uint32_t)5U * sizeof(uint64_t));
+ memcpy(outy, y, (uint32_t)5U * sizeof(uint64_t));
+ outz[0U] = (uint64_t)1U;
+ outz[1U] = (uint64_t)0U;
+ outz[2U] = (uint64_t)0U;
+ outz[3U] = (uint64_t)0U;
+ outz[4U] = (uint64_t)0U;
+ fmul0(outt, x, y);
+ res = true;
+ }
+ bool res0 = res;
+ return res0;
+}
+
+void
+Hacl_Impl_Ed25519_PointCompress_point_compress(uint8_t *z, uint64_t *p)
+{
+ uint64_t tmp[15U] = { 0U };
+ uint64_t *x = tmp + (uint32_t)5U;
+ uint64_t *out = tmp + (uint32_t)10U;
+ uint64_t *zinv1 = tmp;
+ uint64_t *x1 = tmp + (uint32_t)5U;
+ uint64_t *out1 = tmp + (uint32_t)10U;
+ uint64_t *px = p;
+ uint64_t *py = p + (uint32_t)5U;
+ uint64_t *pz = p + (uint32_t)10U;
+ Hacl_Bignum25519_inverse(zinv1, pz);
+ fmul0(x1, px, zinv1);
+ reduce(x1);
+ fmul0(out1, py, zinv1);
+ Hacl_Bignum25519_reduce_513(out1);
+ uint64_t x0 = x[0U];
+ uint64_t b = x0 & (uint64_t)1U;
+ Hacl_Bignum25519_store_51(z, out);
+ uint8_t xbyte = (uint8_t)b;
+ uint8_t o31 = z[31U];
+ z[31U] = o31 + (xbyte << (uint32_t)7U);
+}
+
+static inline void
+barrett_reduction(uint64_t *z, uint64_t *t)
+{
+ uint64_t t0 = t[0U];
+ uint64_t t1 = t[1U];
+ uint64_t t2 = t[2U];
+ uint64_t t3 = t[3U];
+ uint64_t t4 = t[4U];
+ uint64_t t5 = t[5U];
+ uint64_t t6 = t[6U];
+ uint64_t t7 = t[7U];
+ uint64_t t8 = t[8U];
+ uint64_t t9 = t[9U];
+ uint64_t m00 = (uint64_t)0x12631a5cf5d3edU;
+ uint64_t m10 = (uint64_t)0xf9dea2f79cd658U;
+ uint64_t m20 = (uint64_t)0x000000000014deU;
+ uint64_t m30 = (uint64_t)0x00000000000000U;
+ uint64_t m40 = (uint64_t)0x00000010000000U;
+ uint64_t m0 = m00;
+ uint64_t m1 = m10;
+ uint64_t m2 = m20;
+ uint64_t m3 = m30;
+ uint64_t m4 = m40;
+ uint64_t m010 = (uint64_t)0x9ce5a30a2c131bU;
+ uint64_t m110 = (uint64_t)0x215d086329a7edU;
+ uint64_t m210 = (uint64_t)0xffffffffeb2106U;
+ uint64_t m310 = (uint64_t)0xffffffffffffffU;
+ uint64_t m410 = (uint64_t)0x00000fffffffffU;
+ uint64_t mu0 = m010;
+ uint64_t mu1 = m110;
+ uint64_t mu2 = m210;
+ uint64_t mu3 = m310;
+ uint64_t mu4 = m410;
+ uint64_t y_ = (t5 & (uint64_t)0xffffffU) << (uint32_t)32U;
+ uint64_t x_ = t4 >> (uint32_t)24U;
+ uint64_t z00 = x_ | y_;
+ uint64_t y_0 = (t6 & (uint64_t)0xffffffU) << (uint32_t)32U;
+ uint64_t x_0 = t5 >> (uint32_t)24U;
+ uint64_t z10 = x_0 | y_0;
+ uint64_t y_1 = (t7 & (uint64_t)0xffffffU) << (uint32_t)32U;
+ uint64_t x_1 = t6 >> (uint32_t)24U;
+ uint64_t z20 = x_1 | y_1;
+ uint64_t y_2 = (t8 & (uint64_t)0xffffffU) << (uint32_t)32U;
+ uint64_t x_2 = t7 >> (uint32_t)24U;
+ uint64_t z30 = x_2 | y_2;
+ uint64_t y_3 = (t9 & (uint64_t)0xffffffU) << (uint32_t)32U;
+ uint64_t x_3 = t8 >> (uint32_t)24U;
+ uint64_t z40 = x_3 | y_3;
+ uint64_t q0 = z00;
+ uint64_t q1 = z10;
+ uint64_t q2 = z20;
+ uint64_t q3 = z30;
+ uint64_t q4 = z40;
+ FStar_UInt128_uint128 xy000 = FStar_UInt128_mul_wide(q0, mu0);
+ FStar_UInt128_uint128 xy010 = FStar_UInt128_mul_wide(q0, mu1);
+ FStar_UInt128_uint128 xy020 = FStar_UInt128_mul_wide(q0, mu2);
+ FStar_UInt128_uint128 xy030 = FStar_UInt128_mul_wide(q0, mu3);
+ FStar_UInt128_uint128 xy040 = FStar_UInt128_mul_wide(q0, mu4);
+ FStar_UInt128_uint128 xy100 = FStar_UInt128_mul_wide(q1, mu0);
+ FStar_UInt128_uint128 xy110 = FStar_UInt128_mul_wide(q1, mu1);
+ FStar_UInt128_uint128 xy120 = FStar_UInt128_mul_wide(q1, mu2);
+ FStar_UInt128_uint128 xy130 = FStar_UInt128_mul_wide(q1, mu3);
+ FStar_UInt128_uint128 xy14 = FStar_UInt128_mul_wide(q1, mu4);
+ FStar_UInt128_uint128 xy200 = FStar_UInt128_mul_wide(q2, mu0);
+ FStar_UInt128_uint128 xy210 = FStar_UInt128_mul_wide(q2, mu1);
+ FStar_UInt128_uint128 xy220 = FStar_UInt128_mul_wide(q2, mu2);
+ FStar_UInt128_uint128 xy23 = FStar_UInt128_mul_wide(q2, mu3);
+ FStar_UInt128_uint128 xy24 = FStar_UInt128_mul_wide(q2, mu4);
+ FStar_UInt128_uint128 xy300 = FStar_UInt128_mul_wide(q3, mu0);
+ FStar_UInt128_uint128 xy310 = FStar_UInt128_mul_wide(q3, mu1);
+ FStar_UInt128_uint128 xy32 = FStar_UInt128_mul_wide(q3, mu2);
+ FStar_UInt128_uint128 xy33 = FStar_UInt128_mul_wide(q3, mu3);
+ FStar_UInt128_uint128 xy34 = FStar_UInt128_mul_wide(q3, mu4);
+ FStar_UInt128_uint128 xy400 = FStar_UInt128_mul_wide(q4, mu0);
+ FStar_UInt128_uint128 xy41 = FStar_UInt128_mul_wide(q4, mu1);
+ FStar_UInt128_uint128 xy42 = FStar_UInt128_mul_wide(q4, mu2);
+ FStar_UInt128_uint128 xy43 = FStar_UInt128_mul_wide(q4, mu3);
+ FStar_UInt128_uint128 xy44 = FStar_UInt128_mul_wide(q4, mu4);
+ FStar_UInt128_uint128 z01 = xy000;
+ FStar_UInt128_uint128 z11 = FStar_UInt128_add_mod(xy010, xy100);
+ FStar_UInt128_uint128 z21 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy020, xy110), xy200);
+ FStar_UInt128_uint128
+ z31 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy030, xy120), xy210),
+ xy300);
+ FStar_UInt128_uint128
+ z41 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy040,
+ xy130),
+ xy220),
+ xy310),
+ xy400);
+ FStar_UInt128_uint128
+ z5 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy14, xy23), xy32),
+ xy41);
+ FStar_UInt128_uint128 z6 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy24, xy33), xy42);
+ FStar_UInt128_uint128 z7 = FStar_UInt128_add_mod(xy34, xy43);
+ FStar_UInt128_uint128 z8 = xy44;
+ FStar_UInt128_uint128 carry0 = FStar_UInt128_shift_right(z01, (uint32_t)56U);
+ FStar_UInt128_uint128 c00 = carry0;
+ FStar_UInt128_uint128
+ carry1 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z11, c00), (uint32_t)56U);
+ FStar_UInt128_uint128 c10 = carry1;
+ FStar_UInt128_uint128
+ carry2 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z21, c10), (uint32_t)56U);
+ FStar_UInt128_uint128 c20 = carry2;
+ FStar_UInt128_uint128
+ carry3 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z31, c20), (uint32_t)56U);
+ FStar_UInt128_uint128 c30 = carry3;
+ FStar_UInt128_uint128
+ carry4 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z41, c30), (uint32_t)56U);
+ uint64_t
+ t100 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z41, c30)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c40 = carry4;
+ uint64_t t410 = t100;
+ FStar_UInt128_uint128
+ carry5 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z5, c40), (uint32_t)56U);
+ uint64_t
+ t101 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z5, c40)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c5 = carry5;
+ uint64_t t51 = t101;
+ FStar_UInt128_uint128
+ carry6 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z6, c5), (uint32_t)56U);
+ uint64_t
+ t102 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z6, c5)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c6 = carry6;
+ uint64_t t61 = t102;
+ FStar_UInt128_uint128
+ carry7 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z7, c6), (uint32_t)56U);
+ uint64_t
+ t103 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z7, c6)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c7 = carry7;
+ uint64_t t71 = t103;
+ FStar_UInt128_uint128
+ carry8 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z8, c7), (uint32_t)56U);
+ uint64_t
+ t104 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z8, c7)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c8 = carry8;
+ uint64_t t81 = t104;
+ uint64_t t91 = FStar_UInt128_uint128_to_uint64(c8);
+ uint64_t qmu4_ = t410;
+ uint64_t qmu5_ = t51;
+ uint64_t qmu6_ = t61;
+ uint64_t qmu7_ = t71;
+ uint64_t qmu8_ = t81;
+ uint64_t qmu9_ = t91;
+ uint64_t y_4 = (qmu5_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
+ uint64_t x_4 = qmu4_ >> (uint32_t)40U;
+ uint64_t z02 = x_4 | y_4;
+ uint64_t y_5 = (qmu6_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
+ uint64_t x_5 = qmu5_ >> (uint32_t)40U;
+ uint64_t z12 = x_5 | y_5;
+ uint64_t y_6 = (qmu7_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
+ uint64_t x_6 = qmu6_ >> (uint32_t)40U;
+ uint64_t z22 = x_6 | y_6;
+ uint64_t y_7 = (qmu8_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
+ uint64_t x_7 = qmu7_ >> (uint32_t)40U;
+ uint64_t z32 = x_7 | y_7;
+ uint64_t y_8 = (qmu9_ & (uint64_t)0xffffffffffU) << (uint32_t)16U;
+ uint64_t x_8 = qmu8_ >> (uint32_t)40U;
+ uint64_t z42 = x_8 | y_8;
+ uint64_t qdiv0 = z02;
+ uint64_t qdiv1 = z12;
+ uint64_t qdiv2 = z22;
+ uint64_t qdiv3 = z32;
+ uint64_t qdiv4 = z42;
+ uint64_t r0 = t0;
+ uint64_t r1 = t1;
+ uint64_t r2 = t2;
+ uint64_t r3 = t3;
+ uint64_t r4 = t4 & (uint64_t)0xffffffffffU;
+ FStar_UInt128_uint128 xy00 = FStar_UInt128_mul_wide(qdiv0, m0);
+ FStar_UInt128_uint128 xy01 = FStar_UInt128_mul_wide(qdiv0, m1);
+ FStar_UInt128_uint128 xy02 = FStar_UInt128_mul_wide(qdiv0, m2);
+ FStar_UInt128_uint128 xy03 = FStar_UInt128_mul_wide(qdiv0, m3);
+ FStar_UInt128_uint128 xy04 = FStar_UInt128_mul_wide(qdiv0, m4);
+ FStar_UInt128_uint128 xy10 = FStar_UInt128_mul_wide(qdiv1, m0);
+ FStar_UInt128_uint128 xy11 = FStar_UInt128_mul_wide(qdiv1, m1);
+ FStar_UInt128_uint128 xy12 = FStar_UInt128_mul_wide(qdiv1, m2);
+ FStar_UInt128_uint128 xy13 = FStar_UInt128_mul_wide(qdiv1, m3);
+ FStar_UInt128_uint128 xy20 = FStar_UInt128_mul_wide(qdiv2, m0);
+ FStar_UInt128_uint128 xy21 = FStar_UInt128_mul_wide(qdiv2, m1);
+ FStar_UInt128_uint128 xy22 = FStar_UInt128_mul_wide(qdiv2, m2);
+ FStar_UInt128_uint128 xy30 = FStar_UInt128_mul_wide(qdiv3, m0);
+ FStar_UInt128_uint128 xy31 = FStar_UInt128_mul_wide(qdiv3, m1);
+ FStar_UInt128_uint128 xy40 = FStar_UInt128_mul_wide(qdiv4, m0);
+ FStar_UInt128_uint128 carry9 = FStar_UInt128_shift_right(xy00, (uint32_t)56U);
+ uint64_t t105 = FStar_UInt128_uint128_to_uint64(xy00) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c0 = carry9;
+ uint64_t t010 = t105;
+ FStar_UInt128_uint128
+ carry10 =
+ FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy01, xy10), c0),
+ (uint32_t)56U);
+ uint64_t
+ t106 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy01, xy10), c0)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c11 = carry10;
+ uint64_t t110 = t106;
+ FStar_UInt128_uint128
+ carry11 =
+ FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02,
+ xy11),
+ xy20),
+ c11),
+ (uint32_t)56U);
+ uint64_t
+ t107 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02,
+ xy11),
+ xy20),
+ c11)) &
+ (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c21 = carry11;
+ uint64_t t210 = t107;
+ FStar_UInt128_uint128
+ carry =
+ FStar_UInt128_shift_right(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03,
+ xy12),
+ xy21),
+ xy30),
+ c21),
+ (uint32_t)56U);
+ uint64_t
+ t108 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03,
+ xy12),
+ xy21),
+ xy30),
+ c21)) &
+ (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c31 = carry;
+ uint64_t t310 = t108;
+ uint64_t
+ t411 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy04,
+ xy13),
+ xy22),
+ xy31),
+ xy40),
+ c31)) &
+ (uint64_t)0xffffffffffU;
+ uint64_t qmul0 = t010;
+ uint64_t qmul1 = t110;
+ uint64_t qmul2 = t210;
+ uint64_t qmul3 = t310;
+ uint64_t qmul4 = t411;
+ uint64_t b5 = (r0 - qmul0) >> (uint32_t)63U;
+ uint64_t t109 = (b5 << (uint32_t)56U) + r0 - qmul0;
+ uint64_t c1 = b5;
+ uint64_t t011 = t109;
+ uint64_t b6 = (r1 - (qmul1 + c1)) >> (uint32_t)63U;
+ uint64_t t1010 = (b6 << (uint32_t)56U) + r1 - (qmul1 + c1);
+ uint64_t c2 = b6;
+ uint64_t t111 = t1010;
+ uint64_t b7 = (r2 - (qmul2 + c2)) >> (uint32_t)63U;
+ uint64_t t1011 = (b7 << (uint32_t)56U) + r2 - (qmul2 + c2);
+ uint64_t c3 = b7;
+ uint64_t t211 = t1011;
+ uint64_t b8 = (r3 - (qmul3 + c3)) >> (uint32_t)63U;
+ uint64_t t1012 = (b8 << (uint32_t)56U) + r3 - (qmul3 + c3);
+ uint64_t c4 = b8;
+ uint64_t t311 = t1012;
+ uint64_t b9 = (r4 - (qmul4 + c4)) >> (uint32_t)63U;
+ uint64_t t1013 = (b9 << (uint32_t)40U) + r4 - (qmul4 + c4);
+ uint64_t t412 = t1013;
+ uint64_t s0 = t011;
+ uint64_t s1 = t111;
+ uint64_t s2 = t211;
+ uint64_t s3 = t311;
+ uint64_t s4 = t412;
+ uint64_t m01 = (uint64_t)0x12631a5cf5d3edU;
+ uint64_t m11 = (uint64_t)0xf9dea2f79cd658U;
+ uint64_t m21 = (uint64_t)0x000000000014deU;
+ uint64_t m31 = (uint64_t)0x00000000000000U;
+ uint64_t m41 = (uint64_t)0x00000010000000U;
+ uint64_t y0 = m01;
+ uint64_t y1 = m11;
+ uint64_t y2 = m21;
+ uint64_t y3 = m31;
+ uint64_t y4 = m41;
+ uint64_t b10 = (s0 - y0) >> (uint32_t)63U;
+ uint64_t t1014 = (b10 << (uint32_t)56U) + s0 - y0;
+ uint64_t b0 = b10;
+ uint64_t t01 = t1014;
+ uint64_t b11 = (s1 - (y1 + b0)) >> (uint32_t)63U;
+ uint64_t t1015 = (b11 << (uint32_t)56U) + s1 - (y1 + b0);
+ uint64_t b1 = b11;
+ uint64_t t11 = t1015;
+ uint64_t b12 = (s2 - (y2 + b1)) >> (uint32_t)63U;
+ uint64_t t1016 = (b12 << (uint32_t)56U) + s2 - (y2 + b1);
+ uint64_t b2 = b12;
+ uint64_t t21 = t1016;
+ uint64_t b13 = (s3 - (y3 + b2)) >> (uint32_t)63U;
+ uint64_t t1017 = (b13 << (uint32_t)56U) + s3 - (y3 + b2);
+ uint64_t b3 = b13;
+ uint64_t t31 = t1017;
+ uint64_t b = (s4 - (y4 + b3)) >> (uint32_t)63U;
+ uint64_t t10 = (b << (uint32_t)56U) + s4 - (y4 + b3);
+ uint64_t b4 = b;
+ uint64_t t41 = t10;
+ uint64_t mask = b4 - (uint64_t)1U;
+ uint64_t z03 = s0 ^ (mask & (s0 ^ t01));
+ uint64_t z13 = s1 ^ (mask & (s1 ^ t11));
+ uint64_t z23 = s2 ^ (mask & (s2 ^ t21));
+ uint64_t z33 = s3 ^ (mask & (s3 ^ t31));
+ uint64_t z43 = s4 ^ (mask & (s4 ^ t41));
+ uint64_t z04 = z03;
+ uint64_t z14 = z13;
+ uint64_t z24 = z23;
+ uint64_t z34 = z33;
+ uint64_t z44 = z43;
+ uint64_t o0 = z04;
+ uint64_t o1 = z14;
+ uint64_t o2 = z24;
+ uint64_t o3 = z34;
+ uint64_t o4 = z44;
+ uint64_t z0 = o0;
+ uint64_t z1 = o1;
+ uint64_t z2 = o2;
+ uint64_t z3 = o3;
+ uint64_t z4 = o4;
+ z[0U] = z0;
+ z[1U] = z1;
+ z[2U] = z2;
+ z[3U] = z3;
+ z[4U] = z4;
+}
+
+static inline void
+mul_modq(uint64_t *out, uint64_t *x, uint64_t *y)
+{
+ uint64_t tmp[10U] = { 0U };
+ uint64_t x0 = x[0U];
+ uint64_t x1 = x[1U];
+ uint64_t x2 = x[2U];
+ uint64_t x3 = x[3U];
+ uint64_t x4 = x[4U];
+ uint64_t y0 = y[0U];
+ uint64_t y1 = y[1U];
+ uint64_t y2 = y[2U];
+ uint64_t y3 = y[3U];
+ uint64_t y4 = y[4U];
+ FStar_UInt128_uint128 xy00 = FStar_UInt128_mul_wide(x0, y0);
+ FStar_UInt128_uint128 xy01 = FStar_UInt128_mul_wide(x0, y1);
+ FStar_UInt128_uint128 xy02 = FStar_UInt128_mul_wide(x0, y2);
+ FStar_UInt128_uint128 xy03 = FStar_UInt128_mul_wide(x0, y3);
+ FStar_UInt128_uint128 xy04 = FStar_UInt128_mul_wide(x0, y4);
+ FStar_UInt128_uint128 xy10 = FStar_UInt128_mul_wide(x1, y0);
+ FStar_UInt128_uint128 xy11 = FStar_UInt128_mul_wide(x1, y1);
+ FStar_UInt128_uint128 xy12 = FStar_UInt128_mul_wide(x1, y2);
+ FStar_UInt128_uint128 xy13 = FStar_UInt128_mul_wide(x1, y3);
+ FStar_UInt128_uint128 xy14 = FStar_UInt128_mul_wide(x1, y4);
+ FStar_UInt128_uint128 xy20 = FStar_UInt128_mul_wide(x2, y0);
+ FStar_UInt128_uint128 xy21 = FStar_UInt128_mul_wide(x2, y1);
+ FStar_UInt128_uint128 xy22 = FStar_UInt128_mul_wide(x2, y2);
+ FStar_UInt128_uint128 xy23 = FStar_UInt128_mul_wide(x2, y3);
+ FStar_UInt128_uint128 xy24 = FStar_UInt128_mul_wide(x2, y4);
+ FStar_UInt128_uint128 xy30 = FStar_UInt128_mul_wide(x3, y0);
+ FStar_UInt128_uint128 xy31 = FStar_UInt128_mul_wide(x3, y1);
+ FStar_UInt128_uint128 xy32 = FStar_UInt128_mul_wide(x3, y2);
+ FStar_UInt128_uint128 xy33 = FStar_UInt128_mul_wide(x3, y3);
+ FStar_UInt128_uint128 xy34 = FStar_UInt128_mul_wide(x3, y4);
+ FStar_UInt128_uint128 xy40 = FStar_UInt128_mul_wide(x4, y0);
+ FStar_UInt128_uint128 xy41 = FStar_UInt128_mul_wide(x4, y1);
+ FStar_UInt128_uint128 xy42 = FStar_UInt128_mul_wide(x4, y2);
+ FStar_UInt128_uint128 xy43 = FStar_UInt128_mul_wide(x4, y3);
+ FStar_UInt128_uint128 xy44 = FStar_UInt128_mul_wide(x4, y4);
+ FStar_UInt128_uint128 z00 = xy00;
+ FStar_UInt128_uint128 z10 = FStar_UInt128_add_mod(xy01, xy10);
+ FStar_UInt128_uint128 z20 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy02, xy11), xy20);
+ FStar_UInt128_uint128
+ z30 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy03, xy12), xy21),
+ xy30);
+ FStar_UInt128_uint128
+ z40 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy04,
+ xy13),
+ xy22),
+ xy31),
+ xy40);
+ FStar_UInt128_uint128
+ z50 =
+ FStar_UInt128_add_mod(FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy14, xy23), xy32),
+ xy41);
+ FStar_UInt128_uint128 z60 = FStar_UInt128_add_mod(FStar_UInt128_add_mod(xy24, xy33), xy42);
+ FStar_UInt128_uint128 z70 = FStar_UInt128_add_mod(xy34, xy43);
+ FStar_UInt128_uint128 z80 = xy44;
+ FStar_UInt128_uint128 carry0 = FStar_UInt128_shift_right(z00, (uint32_t)56U);
+ uint64_t t10 = FStar_UInt128_uint128_to_uint64(z00) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c0 = carry0;
+ uint64_t t0 = t10;
+ FStar_UInt128_uint128
+ carry1 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z10, c0), (uint32_t)56U);
+ uint64_t
+ t11 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z10, c0)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c1 = carry1;
+ uint64_t t1 = t11;
+ FStar_UInt128_uint128
+ carry2 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z20, c1), (uint32_t)56U);
+ uint64_t
+ t12 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z20, c1)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c2 = carry2;
+ uint64_t t2 = t12;
+ FStar_UInt128_uint128
+ carry3 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z30, c2), (uint32_t)56U);
+ uint64_t
+ t13 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z30, c2)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c3 = carry3;
+ uint64_t t3 = t13;
+ FStar_UInt128_uint128
+ carry4 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z40, c3), (uint32_t)56U);
+ uint64_t
+ t14 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z40, c3)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c4 = carry4;
+ uint64_t t4 = t14;
+ FStar_UInt128_uint128
+ carry5 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z50, c4), (uint32_t)56U);
+ uint64_t
+ t15 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z50, c4)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c5 = carry5;
+ uint64_t t5 = t15;
+ FStar_UInt128_uint128
+ carry6 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z60, c5), (uint32_t)56U);
+ uint64_t
+ t16 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z60, c5)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c6 = carry6;
+ uint64_t t6 = t16;
+ FStar_UInt128_uint128
+ carry7 = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z70, c6), (uint32_t)56U);
+ uint64_t
+ t17 =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z70, c6)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c7 = carry7;
+ uint64_t t7 = t17;
+ FStar_UInt128_uint128
+ carry = FStar_UInt128_shift_right(FStar_UInt128_add_mod(z80, c7), (uint32_t)56U);
+ uint64_t
+ t =
+ FStar_UInt128_uint128_to_uint64(FStar_UInt128_add_mod(z80, c7)) & (uint64_t)0xffffffffffffffU;
+ FStar_UInt128_uint128 c8 = carry;
+ uint64_t t8 = t;
+ uint64_t t9 = FStar_UInt128_uint128_to_uint64(c8);
+ uint64_t z0 = t0;
+ uint64_t z1 = t1;
+ uint64_t z2 = t2;
+ uint64_t z3 = t3;
+ uint64_t z4 = t4;
+ uint64_t z5 = t5;
+ uint64_t z6 = t6;
+ uint64_t z7 = t7;
+ uint64_t z8 = t8;
+ uint64_t z9 = t9;
+ tmp[0U] = z0;
+ tmp[1U] = z1;
+ tmp[2U] = z2;
+ tmp[3U] = z3;
+ tmp[4U] = z4;
+ tmp[5U] = z5;
+ tmp[6U] = z6;
+ tmp[7U] = z7;
+ tmp[8U] = z8;
+ tmp[9U] = z9;
+ barrett_reduction(out, tmp);
+}
+
+static inline void
+add_modq(uint64_t *out, uint64_t *x, uint64_t *y)
+{
+ uint64_t x0 = x[0U];
+ uint64_t x1 = x[1U];
+ uint64_t x2 = x[2U];
+ uint64_t x3 = x[3U];
+ uint64_t x4 = x[4U];
+ uint64_t y0 = y[0U];
+ uint64_t y1 = y[1U];
+ uint64_t y2 = y[2U];
+ uint64_t y3 = y[3U];
+ uint64_t y4 = y[4U];
+ uint64_t carry0 = (x0 + y0) >> (uint32_t)56U;
+ uint64_t t0 = (x0 + y0) & (uint64_t)0xffffffffffffffU;
+ uint64_t t00 = t0;
+ uint64_t c0 = carry0;
+ uint64_t carry1 = (x1 + y1 + c0) >> (uint32_t)56U;
+ uint64_t t1 = (x1 + y1 + c0) & (uint64_t)0xffffffffffffffU;
+ uint64_t t10 = t1;
+ uint64_t c1 = carry1;
+ uint64_t carry2 = (x2 + y2 + c1) >> (uint32_t)56U;
+ uint64_t t2 = (x2 + y2 + c1) & (uint64_t)0xffffffffffffffU;
+ uint64_t t20 = t2;
+ uint64_t c2 = carry2;
+ uint64_t carry = (x3 + y3 + c2) >> (uint32_t)56U;
+ uint64_t t3 = (x3 + y3 + c2) & (uint64_t)0xffffffffffffffU;
+ uint64_t t30 = t3;
+ uint64_t c3 = carry;
+ uint64_t t4 = x4 + y4 + c3;
+ uint64_t m0 = (uint64_t)0x12631a5cf5d3edU;
+ uint64_t m1 = (uint64_t)0xf9dea2f79cd658U;
+ uint64_t m2 = (uint64_t)0x000000000014deU;
+ uint64_t m3 = (uint64_t)0x00000000000000U;
+ uint64_t m4 = (uint64_t)0x00000010000000U;
+ uint64_t y01 = m0;
+ uint64_t y11 = m1;
+ uint64_t y21 = m2;
+ uint64_t y31 = m3;
+ uint64_t y41 = m4;
+ uint64_t b5 = (t00 - y01) >> (uint32_t)63U;
+ uint64_t t5 = (b5 << (uint32_t)56U) + t00 - y01;
+ uint64_t b0 = b5;
+ uint64_t t01 = t5;
+ uint64_t b6 = (t10 - (y11 + b0)) >> (uint32_t)63U;
+ uint64_t t6 = (b6 << (uint32_t)56U) + t10 - (y11 + b0);
+ uint64_t b1 = b6;
+ uint64_t t11 = t6;
+ uint64_t b7 = (t20 - (y21 + b1)) >> (uint32_t)63U;
+ uint64_t t7 = (b7 << (uint32_t)56U) + t20 - (y21 + b1);
+ uint64_t b2 = b7;
+ uint64_t t21 = t7;
+ uint64_t b8 = (t30 - (y31 + b2)) >> (uint32_t)63U;
+ uint64_t t8 = (b8 << (uint32_t)56U) + t30 - (y31 + b2);
+ uint64_t b3 = b8;
+ uint64_t t31 = t8;
+ uint64_t b = (t4 - (y41 + b3)) >> (uint32_t)63U;
+ uint64_t t = (b << (uint32_t)56U) + t4 - (y41 + b3);
+ uint64_t b4 = b;
+ uint64_t t41 = t;
+ uint64_t mask = b4 - (uint64_t)1U;
+ uint64_t z00 = t00 ^ (mask & (t00 ^ t01));
+ uint64_t z10 = t10 ^ (mask & (t10 ^ t11));
+ uint64_t z20 = t20 ^ (mask & (t20 ^ t21));
+ uint64_t z30 = t30 ^ (mask & (t30 ^ t31));
+ uint64_t z40 = t4 ^ (mask & (t4 ^ t41));
+ uint64_t z01 = z00;
+ uint64_t z11 = z10;
+ uint64_t z21 = z20;
+ uint64_t z31 = z30;
+ uint64_t z41 = z40;
+ uint64_t o0 = z01;
+ uint64_t o1 = z11;
+ uint64_t o2 = z21;
+ uint64_t o3 = z31;
+ uint64_t o4 = z41;
+ uint64_t z0 = o0;
+ uint64_t z1 = o1;
+ uint64_t z2 = o2;
+ uint64_t z3 = o3;
+ uint64_t z4 = o4;
+ out[0U] = z0;
+ out[1U] = z1;
+ out[2U] = z2;
+ out[3U] = z3;
+ out[4U] = z4;
+}
+
+static inline bool
+gte_q(uint64_t *s)
+{
+ uint64_t s0 = s[0U];
+ uint64_t s1 = s[1U];
+ uint64_t s2 = s[2U];
+ uint64_t s3 = s[3U];
+ uint64_t s4 = s[4U];
+ if (s4 > (uint64_t)0x00000010000000U) {
+ return true;
+ }
+ if (s4 < (uint64_t)0x00000010000000U) {
+ return false;
+ }
+ if (s3 > (uint64_t)0x00000000000000U) {
+ return true;
+ }
+ if (s2 > (uint64_t)0x000000000014deU) {
+ return true;
+ }
+ if (s2 < (uint64_t)0x000000000014deU) {
+ return false;
+ }
+ if (s1 > (uint64_t)0xf9dea2f79cd658U) {
+ return true;
+ }
+ if (s1 < (uint64_t)0xf9dea2f79cd658U) {
+ return false;
+ }
+ if (s0 >= (uint64_t)0x12631a5cf5d3edU) {
+ return true;
+ }
+ return false;
+}
+
+static inline bool
+eq(uint64_t *a, uint64_t *b)
+{
+ uint64_t a0 = a[0U];
+ uint64_t a1 = a[1U];
+ uint64_t a2 = a[2U];
+ uint64_t a3 = a[3U];
+ uint64_t a4 = a[4U];
+ uint64_t b0 = b[0U];
+ uint64_t b1 = b[1U];
+ uint64_t b2 = b[2U];
+ uint64_t b3 = b[3U];
+ uint64_t b4 = b[4U];
+ return a0 == b0 && a1 == b1 && a2 == b2 && a3 == b3 && a4 == b4;
+}
+
+bool
+Hacl_Impl_Ed25519_PointEqual_point_equal(uint64_t *p, uint64_t *q)
+{
+ uint64_t tmp[20U] = { 0U };
+ uint64_t *pxqz = tmp;
+ uint64_t *qxpz = tmp + (uint32_t)5U;
+ fmul0(pxqz, p, q + (uint32_t)10U);
+ reduce(pxqz);
+ fmul0(qxpz, q, p + (uint32_t)10U);
+ reduce(qxpz);
+ bool b = eq(pxqz, qxpz);
+ if (b) {
+ uint64_t *pyqz = tmp + (uint32_t)10U;
+ uint64_t *qypz = tmp + (uint32_t)15U;
+ fmul0(pyqz, p + (uint32_t)5U, q + (uint32_t)10U);
+ reduce(pyqz);
+ fmul0(qypz, q + (uint32_t)5U, p + (uint32_t)10U);
+ reduce(qypz);
+ return eq(pyqz, qypz);
+ }
+ return false;
+}
+
+void
+Hacl_Impl_Ed25519_PointNegate_point_negate(uint64_t *p, uint64_t *out)
+{
+ uint64_t zero[5U] = { 0U };
+ zero[0U] = (uint64_t)0U;
+ zero[1U] = (uint64_t)0U;
+ zero[2U] = (uint64_t)0U;
+ zero[3U] = (uint64_t)0U;
+ zero[4U] = (uint64_t)0U;
+ uint64_t *x = p;
+ uint64_t *y = p + (uint32_t)5U;
+ uint64_t *z = p + (uint32_t)10U;
+ uint64_t *t = p + (uint32_t)15U;
+ uint64_t *x1 = out;
+ uint64_t *y1 = out + (uint32_t)5U;
+ uint64_t *z1 = out + (uint32_t)10U;
+ uint64_t *t1 = out + (uint32_t)15U;
+ fdifference(x1, zero, x);
+ Hacl_Bignum25519_reduce_513(x1);
+ memcpy(y1, y, (uint32_t)5U * sizeof(uint64_t));
+ memcpy(z1, z, (uint32_t)5U * sizeof(uint64_t));
+ fdifference(t1, zero, t);
+ Hacl_Bignum25519_reduce_513(t1);
+}
+
+void
+Hacl_Impl_Ed25519_Ladder_point_mul(uint64_t *out, uint8_t *scalar, uint64_t *q)
+{
+ uint64_t bscalar[4U] = { 0U };
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ uint64_t *os = bscalar;
+ uint8_t *bj = scalar + i * (uint32_t)8U;
+ uint64_t u = load64_le(bj);
+ uint64_t r = u;
+ uint64_t x = r;
+ os[i] = x;);
+ uint64_t table[320U] = { 0U };
+ uint64_t tmp[20U] = { 0U };
+ uint64_t *t0 = table;
+ uint64_t *t1 = table + (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointConstants_make_point_inf(t0);
+ memcpy(t1, q, (uint32_t)20U * sizeof(uint64_t));
+ KRML_MAYBE_FOR7(i,
+ (uint32_t)0U,
+ (uint32_t)7U,
+ (uint32_t)1U,
+ uint64_t *t11 = table + (i + (uint32_t)1U) * (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointDouble_point_double(tmp, t11);
+ memcpy(table + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U,
+ tmp,
+ (uint32_t)20U * sizeof(uint64_t));
+ uint64_t *t2 = table + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointAdd_point_add(tmp, q, t2);
+ memcpy(table + ((uint32_t)2U * i + (uint32_t)3U) * (uint32_t)20U,
+ tmp,
+ (uint32_t)20U * sizeof(uint64_t)););
+ Hacl_Impl_Ed25519_PointConstants_make_point_inf(out);
+ uint64_t tmp0[20U] = { 0U };
+ for (uint32_t i0 = (uint32_t)0U; i0 < (uint32_t)64U; i0++) {
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
+ uint32_t k = (uint32_t)256U - (uint32_t)4U * i0 - (uint32_t)4U;
+ uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar, k, (uint32_t)4U);
+ memcpy(tmp0, (uint64_t *)table, (uint32_t)20U * sizeof(uint64_t));
+ KRML_MAYBE_FOR15(
+ i1,
+ (uint32_t)0U,
+ (uint32_t)15U,
+ (uint32_t)1U,
+ uint64_t c = FStar_UInt64_eq_mask(bits_l, (uint64_t)(i1 + (uint32_t)1U));
+ const uint64_t *res_j = table + (i1 + (uint32_t)1U) * (uint32_t)20U;
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)20U; i++) {
+ uint64_t *os = tmp0;
+ uint64_t x = (c & res_j[i]) | (~c & tmp0[i]);
+ os[i] = x;
+ });
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp0);
+ }
+}
+
+static inline void
+precomp_get_consttime(const uint64_t *table, uint64_t bits_l, uint64_t *tmp)
+{
+ memcpy(tmp, (uint64_t *)table, (uint32_t)20U * sizeof(uint64_t));
+ KRML_MAYBE_FOR15(
+ i0,
+ (uint32_t)0U,
+ (uint32_t)15U,
+ (uint32_t)1U,
+ uint64_t c = FStar_UInt64_eq_mask(bits_l, (uint64_t)(i0 + (uint32_t)1U));
+ const uint64_t *res_j = table + (i0 + (uint32_t)1U) * (uint32_t)20U;
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)20U; i++) {
+ uint64_t *os = tmp;
+ uint64_t x = (c & res_j[i]) | (~c & tmp[i]);
+ os[i] = x;
+ });
+}
+
+static inline void
+point_mul_g(uint64_t *out, uint8_t *scalar)
+{
+ uint64_t bscalar[4U] = { 0U };
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ uint64_t *os = bscalar;
+ uint8_t *bj = scalar + i * (uint32_t)8U;
+ uint64_t u = load64_le(bj);
+ uint64_t r = u;
+ uint64_t x = r;
+ os[i] = x;);
+ uint64_t q1[20U] = { 0U };
+ uint64_t *gx = q1;
+ uint64_t *gy = q1 + (uint32_t)5U;
+ uint64_t *gz = q1 + (uint32_t)10U;
+ uint64_t *gt = q1 + (uint32_t)15U;
+ gx[0U] = (uint64_t)0x00062d608f25d51aU;
+ gx[1U] = (uint64_t)0x000412a4b4f6592aU;
+ gx[2U] = (uint64_t)0x00075b7171a4b31dU;
+ gx[3U] = (uint64_t)0x0001ff60527118feU;
+ gx[4U] = (uint64_t)0x000216936d3cd6e5U;
+ gy[0U] = (uint64_t)0x0006666666666658U;
+ gy[1U] = (uint64_t)0x0004ccccccccccccU;
+ gy[2U] = (uint64_t)0x0001999999999999U;
+ gy[3U] = (uint64_t)0x0003333333333333U;
+ gy[4U] = (uint64_t)0x0006666666666666U;
+ gz[0U] = (uint64_t)1U;
+ gz[1U] = (uint64_t)0U;
+ gz[2U] = (uint64_t)0U;
+ gz[3U] = (uint64_t)0U;
+ gz[4U] = (uint64_t)0U;
+ gt[0U] = (uint64_t)0x00068ab3a5b7dda3U;
+ gt[1U] = (uint64_t)0x00000eea2a5eadbbU;
+ gt[2U] = (uint64_t)0x0002af8df483c27eU;
+ gt[3U] = (uint64_t)0x000332b375274732U;
+ gt[4U] = (uint64_t)0x00067875f0fd78b7U;
+ uint64_t
+ q2[20U] = {
+ (uint64_t)13559344787725U, (uint64_t)2051621493703448U, (uint64_t)1947659315640708U,
+ (uint64_t)626856790370168U, (uint64_t)1592804284034836U, (uint64_t)1781728767459187U,
+ (uint64_t)278818420518009U, (uint64_t)2038030359908351U, (uint64_t)910625973862690U,
+ (uint64_t)471887343142239U, (uint64_t)1298543306606048U, (uint64_t)794147365642417U,
+ (uint64_t)129968992326749U, (uint64_t)523140861678572U, (uint64_t)1166419653909231U,
+ (uint64_t)2009637196928390U, (uint64_t)1288020222395193U, (uint64_t)1007046974985829U,
+ (uint64_t)208981102651386U, (uint64_t)2074009315253380U
+ };
+ uint64_t
+ q3[20U] = {
+ (uint64_t)557549315715710U, (uint64_t)196756086293855U, (uint64_t)846062225082495U,
+ (uint64_t)1865068224838092U, (uint64_t)991112090754908U, (uint64_t)522916421512828U,
+ (uint64_t)2098523346722375U, (uint64_t)1135633221747012U, (uint64_t)858420432114866U,
+ (uint64_t)186358544306082U, (uint64_t)1044420411868480U, (uint64_t)2080052304349321U,
+ (uint64_t)557301814716724U, (uint64_t)1305130257814057U, (uint64_t)2126012765451197U,
+ (uint64_t)1441004402875101U, (uint64_t)353948968859203U, (uint64_t)470765987164835U,
+ (uint64_t)1507675957683570U, (uint64_t)1086650358745097U
+ };
+ uint64_t
+ q4[20U] = {
+ (uint64_t)1129953239743101U, (uint64_t)1240339163956160U, (uint64_t)61002583352401U,
+ (uint64_t)2017604552196030U, (uint64_t)1576867829229863U, (uint64_t)1508654942849389U,
+ (uint64_t)270111619664077U, (uint64_t)1253097517254054U, (uint64_t)721798270973250U,
+ (uint64_t)161923365415298U, (uint64_t)828530877526011U, (uint64_t)1494851059386763U,
+ (uint64_t)662034171193976U, (uint64_t)1315349646974670U, (uint64_t)2199229517308806U,
+ (uint64_t)497078277852673U, (uint64_t)1310507715989956U, (uint64_t)1881315714002105U,
+ (uint64_t)2214039404983803U, (uint64_t)1331036420272667U
+ };
+ uint64_t *r1 = bscalar;
+ uint64_t *r2 = bscalar + (uint32_t)1U;
+ uint64_t *r3 = bscalar + (uint32_t)2U;
+ uint64_t *r4 = bscalar + (uint32_t)3U;
+ Hacl_Impl_Ed25519_PointConstants_make_point_inf(out);
+ uint64_t tmp[20U] = { 0U };
+ KRML_MAYBE_FOR16(i,
+ (uint32_t)0U,
+ (uint32_t)16U,
+ (uint32_t)1U,
+ KRML_MAYBE_FOR4(i0,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
+ uint32_t k = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
+ uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r4, k, (uint32_t)4U);
+ precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_192_table_w4, bits_l, tmp);
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
+ uint32_t k0 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
+ uint64_t bits_l0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r3, k0, (uint32_t)4U);
+ precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_128_table_w4, bits_l0, tmp);
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
+ uint32_t k1 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
+ uint64_t bits_l1 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r2, k1, (uint32_t)4U);
+ precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_g_pow2_64_table_w4, bits_l1, tmp);
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp);
+ uint32_t k2 = (uint32_t)64U - (uint32_t)4U * i - (uint32_t)4U;
+ uint64_t bits_l2 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)1U, r1, k2, (uint32_t)4U);
+ precomp_get_consttime(Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w4, bits_l2, tmp);
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp););
+ KRML_HOST_IGNORE(q2);
+ KRML_HOST_IGNORE(q3);
+ KRML_HOST_IGNORE(q4);
+}
+
+static inline void
+point_mul_g_double_vartime(uint64_t *out, uint8_t *scalar1, uint8_t *scalar2, uint64_t *q2)
+{
+ uint64_t tmp[28U] = { 0U };
+ uint64_t *g = tmp;
+ uint64_t *bscalar1 = tmp + (uint32_t)20U;
+ uint64_t *bscalar2 = tmp + (uint32_t)24U;
+ uint64_t *gx = g;
+ uint64_t *gy = g + (uint32_t)5U;
+ uint64_t *gz = g + (uint32_t)10U;
+ uint64_t *gt = g + (uint32_t)15U;
+ gx[0U] = (uint64_t)0x00062d608f25d51aU;
+ gx[1U] = (uint64_t)0x000412a4b4f6592aU;
+ gx[2U] = (uint64_t)0x00075b7171a4b31dU;
+ gx[3U] = (uint64_t)0x0001ff60527118feU;
+ gx[4U] = (uint64_t)0x000216936d3cd6e5U;
+ gy[0U] = (uint64_t)0x0006666666666658U;
+ gy[1U] = (uint64_t)0x0004ccccccccccccU;
+ gy[2U] = (uint64_t)0x0001999999999999U;
+ gy[3U] = (uint64_t)0x0003333333333333U;
+ gy[4U] = (uint64_t)0x0006666666666666U;
+ gz[0U] = (uint64_t)1U;
+ gz[1U] = (uint64_t)0U;
+ gz[2U] = (uint64_t)0U;
+ gz[3U] = (uint64_t)0U;
+ gz[4U] = (uint64_t)0U;
+ gt[0U] = (uint64_t)0x00068ab3a5b7dda3U;
+ gt[1U] = (uint64_t)0x00000eea2a5eadbbU;
+ gt[2U] = (uint64_t)0x0002af8df483c27eU;
+ gt[3U] = (uint64_t)0x000332b375274732U;
+ gt[4U] = (uint64_t)0x00067875f0fd78b7U;
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ uint64_t *os = bscalar1;
+ uint8_t *bj = scalar1 + i * (uint32_t)8U;
+ uint64_t u = load64_le(bj);
+ uint64_t r = u;
+ uint64_t x = r;
+ os[i] = x;);
+ KRML_MAYBE_FOR4(i,
+ (uint32_t)0U,
+ (uint32_t)4U,
+ (uint32_t)1U,
+ uint64_t *os = bscalar2;
+ uint8_t *bj = scalar2 + i * (uint32_t)8U;
+ uint64_t u = load64_le(bj);
+ uint64_t r = u;
+ uint64_t x = r;
+ os[i] = x;);
+ uint64_t table2[640U] = { 0U };
+ uint64_t tmp1[20U] = { 0U };
+ uint64_t *t0 = table2;
+ uint64_t *t1 = table2 + (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointConstants_make_point_inf(t0);
+ memcpy(t1, q2, (uint32_t)20U * sizeof(uint64_t));
+ KRML_MAYBE_FOR15(i,
+ (uint32_t)0U,
+ (uint32_t)15U,
+ (uint32_t)1U,
+ uint64_t *t11 = table2 + (i + (uint32_t)1U) * (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointDouble_point_double(tmp1, t11);
+ memcpy(table2 + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U,
+ tmp1,
+ (uint32_t)20U * sizeof(uint64_t));
+ uint64_t *t2 = table2 + ((uint32_t)2U * i + (uint32_t)2U) * (uint32_t)20U;
+ Hacl_Impl_Ed25519_PointAdd_point_add(tmp1, q2, t2);
+ memcpy(table2 + ((uint32_t)2U * i + (uint32_t)3U) * (uint32_t)20U,
+ tmp1,
+ (uint32_t)20U * sizeof(uint64_t)););
+ uint64_t tmp10[20U] = { 0U };
+ uint32_t i0 = (uint32_t)255U;
+ uint64_t bits_c = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar1, i0, (uint32_t)5U);
+ uint32_t bits_l32 = (uint32_t)bits_c;
+ const uint64_t
+ *a_bits_l = Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w5 + bits_l32 * (uint32_t)20U;
+ memcpy(out, (uint64_t *)a_bits_l, (uint32_t)20U * sizeof(uint64_t));
+ uint32_t i1 = (uint32_t)255U;
+ uint64_t bits_c0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar2, i1, (uint32_t)5U);
+ uint32_t bits_l320 = (uint32_t)bits_c0;
+ const uint64_t *a_bits_l0 = table2 + bits_l320 * (uint32_t)20U;
+ memcpy(tmp10, (uint64_t *)a_bits_l0, (uint32_t)20U * sizeof(uint64_t));
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp10);
+ uint64_t tmp11[20U] = { 0U };
+ for (uint32_t i = (uint32_t)0U; i < (uint32_t)51U; i++) {
+ KRML_MAYBE_FOR5(i2,
+ (uint32_t)0U,
+ (uint32_t)5U,
+ (uint32_t)1U,
+ Hacl_Impl_Ed25519_PointDouble_point_double(out, out););
+ uint32_t k = (uint32_t)255U - (uint32_t)5U * i - (uint32_t)5U;
+ uint64_t bits_l = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar2, k, (uint32_t)5U);
+ uint32_t bits_l321 = (uint32_t)bits_l;
+ const uint64_t *a_bits_l1 = table2 + bits_l321 * (uint32_t)20U;
+ memcpy(tmp11, (uint64_t *)a_bits_l1, (uint32_t)20U * sizeof(uint64_t));
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp11);
+ uint32_t k0 = (uint32_t)255U - (uint32_t)5U * i - (uint32_t)5U;
+ uint64_t bits_l0 = Hacl_Bignum_Lib_bn_get_bits_u64((uint32_t)4U, bscalar1, k0, (uint32_t)5U);
+ uint32_t bits_l322 = (uint32_t)bits_l0;
+ const uint64_t
+ *a_bits_l2 = Hacl_Ed25519_PrecompTable_precomp_basepoint_table_w5 + bits_l322 * (uint32_t)20U;
+ memcpy(tmp11, (uint64_t *)a_bits_l2, (uint32_t)20U * sizeof(uint64_t));
+ Hacl_Impl_Ed25519_PointAdd_point_add(out, out, tmp11);
+ }
+}
+
+static inline void
+point_negate_mul_double_g_vartime(
+ uint64_t *out,
+ uint8_t *scalar1,
+ uint8_t *scalar2,
+ uint64_t *q2)
+{
+ uint64_t q2_neg[20U] = { 0U };
+ Hacl_Impl_Ed25519_PointNegate_point_negate(q2, q2_neg);
+ point_mul_g_double_vartime(out, scalar1, scalar2, q2_neg);
+}
+
+static inline void
+store_56(uint8_t *out, uint64_t *b)
+{
+ uint64_t b0 = b[0U];
+ uint64_t b1 = b[1U];
+ uint64_t b2 = b[2U];
+ uint64_t b3 = b[3U];
+ uint64_t b4 = b[4U];
+ uint32_t b4_ = (uint32_t)b4;
+ uint8_t *b8 = out;
+ store64_le(b8, b0);
+ uint8_t *b80 = out + (uint32_t)7U;
+ store64_le(b80, b1);
+ uint8_t *b81 = out + (uint32_t)14U;
+ store64_le(b81, b2);
+ uint8_t *b82 = out + (uint32_t)21U;
+ store64_le(b82, b3);
+ store32_le(out + (uint32_t)28U, b4_);
+}
+
+static inline void
+load_64_bytes(uint64_t *out, uint8_t *b)
+{
+ uint8_t *b80 = b;
+ uint64_t u = load64_le(b80);
+ uint64_t z = u;
+ uint64_t b0 = z & (uint64_t)0xffffffffffffffU;
+ uint8_t *b81 = b + (uint32_t)7U;
+ uint64_t u0 = load64_le(b81);
+ uint64_t z0 = u0;
+ uint64_t b1 = z0 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b82 = b + (uint32_t)14U;
+ uint64_t u1 = load64_le(b82);
+ uint64_t z1 = u1;
+ uint64_t b2 = z1 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b83 = b + (uint32_t)21U;
+ uint64_t u2 = load64_le(b83);
+ uint64_t z2 = u2;
+ uint64_t b3 = z2 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b84 = b + (uint32_t)28U;
+ uint64_t u3 = load64_le(b84);
+ uint64_t z3 = u3;
+ uint64_t b4 = z3 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b85 = b + (uint32_t)35U;
+ uint64_t u4 = load64_le(b85);
+ uint64_t z4 = u4;
+ uint64_t b5 = z4 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b86 = b + (uint32_t)42U;
+ uint64_t u5 = load64_le(b86);
+ uint64_t z5 = u5;
+ uint64_t b6 = z5 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b87 = b + (uint32_t)49U;
+ uint64_t u6 = load64_le(b87);
+ uint64_t z6 = u6;
+ uint64_t b7 = z6 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b8 = b + (uint32_t)56U;
+ uint64_t u7 = load64_le(b8);
+ uint64_t z7 = u7;
+ uint64_t b88 = z7 & (uint64_t)0xffffffffffffffU;
+ uint8_t b63 = b[63U];
+ uint64_t b9 = (uint64_t)b63;
+ out[0U] = b0;
+ out[1U] = b1;
+ out[2U] = b2;
+ out[3U] = b3;
+ out[4U] = b4;
+ out[5U] = b5;
+ out[6U] = b6;
+ out[7U] = b7;
+ out[8U] = b88;
+ out[9U] = b9;
+}
+
+static inline void
+load_32_bytes(uint64_t *out, uint8_t *b)
+{
+ uint8_t *b80 = b;
+ uint64_t u0 = load64_le(b80);
+ uint64_t z = u0;
+ uint64_t b0 = z & (uint64_t)0xffffffffffffffU;
+ uint8_t *b81 = b + (uint32_t)7U;
+ uint64_t u1 = load64_le(b81);
+ uint64_t z0 = u1;
+ uint64_t b1 = z0 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b82 = b + (uint32_t)14U;
+ uint64_t u2 = load64_le(b82);
+ uint64_t z1 = u2;
+ uint64_t b2 = z1 & (uint64_t)0xffffffffffffffU;
+ uint8_t *b8 = b + (uint32_t)21U;
+ uint64_t u3 = load64_le(b8);
+ uint64_t z2 = u3;
+ uint64_t b3 = z2 & (uint64_t)0xffffffffffffffU;
+ uint32_t u = load32_le(b + (uint32_t)28U);
+ uint32_t b4 = u;
+ uint64_t b41 = (uint64_t)b4;
+ out[0U] = b0;
+ out[1U] = b1;
+ out[2U] = b2;
+ out[3U] = b3;
+ out[4U] = b41;
+}
+
+static inline void
+sha512_modq_pre(uint64_t *out, uint8_t *prefix, uint32_t len, uint8_t *input)
+{
+ uint64_t tmp[10U] = { 0U };
+ uint8_t hash[64U] = { 0U };
+ sha512_pre_msg(hash, prefix, len, input);
+ load_64_bytes(tmp, hash);
+ barrett_reduction(out, tmp);
+}
+
+static inline void
+sha512_modq_pre_pre2(
+ uint64_t *out,
+ uint8_t *prefix,
+ uint8_t *prefix2,
+ uint32_t len,
+ uint8_t *input)
+{
+ uint64_t tmp[10U] = { 0U };
+ uint8_t hash[64U] = { 0U };
+ sha512_pre_pre2_msg(hash, prefix, prefix2, len, input);
+ load_64_bytes(tmp, hash);
+ barrett_reduction(out, tmp);
+}
+
+static inline void
+point_mul_g_compress(uint8_t *out, uint8_t *s)
+{
+ uint64_t tmp[20U] = { 0U };
+ point_mul_g(tmp, s);
+ Hacl_Impl_Ed25519_PointCompress_point_compress(out, tmp);
+}
+
+static inline void
+secret_expand(uint8_t *expanded, uint8_t *secret)
+{
+ Hacl_Streaming_SHA2_hash_512(secret, (uint32_t)32U, expanded);
+ uint8_t *h_low = expanded;
+ uint8_t h_low0 = h_low[0U];
+ uint8_t h_low31 = h_low[31U];
+ h_low[0U] = h_low0 & (uint8_t)0xf8U;
+ h_low[31U] = (h_low31 & (uint8_t)127U) | (uint8_t)64U;
+}
+
+/********************************************************************************
+ Verified C library for EdDSA signing and verification on the edwards25519 curve.
+********************************************************************************/
+
+/**
+Compute the public key from the private key.
+
+ The outparam `public_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+ The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+*/
+void
+Hacl_Ed25519_secret_to_public(uint8_t *public_key, uint8_t *private_key)
+{
+ uint8_t expanded_secret[64U] = { 0U };
+ secret_expand(expanded_secret, private_key);
+ uint8_t *a = expanded_secret;
+ point_mul_g_compress(public_key, a);
+}
+
+/**
+Compute the expanded keys for an Ed25519 signature.
+
+ The outparam `expanded_keys` points to 96 bytes of valid memory, i.e., uint8_t[96].
+ The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+
+ If one needs to sign several messages under the same private key, it is more efficient
+ to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
+*/
+void
+Hacl_Ed25519_expand_keys(uint8_t *expanded_keys, uint8_t *private_key)
+{
+ uint8_t *public_key = expanded_keys;
+ uint8_t *s_prefix = expanded_keys + (uint32_t)32U;
+ uint8_t *s = expanded_keys + (uint32_t)32U;
+ secret_expand(s_prefix, private_key);
+ point_mul_g_compress(public_key, s);
+}
+
+/**
+Create an Ed25519 signature with the (precomputed) expanded keys.
+
+ The outparam `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
+ The argument `expanded_keys` points to 96 bytes of valid memory, i.e., uint8_t[96].
+ The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
+
+ The argument `expanded_keys` is obtained through `expand_keys`.
+
+ If one needs to sign several messages under the same private key, it is more efficient
+ to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
+*/
+void
+Hacl_Ed25519_sign_expanded(
+ uint8_t *signature,
+ uint8_t *expanded_keys,
+ uint32_t msg_len,
+ uint8_t *msg)
+{
+ uint8_t *rs = signature;
+ uint8_t *ss = signature + (uint32_t)32U;
+ uint64_t rq[5U] = { 0U };
+ uint64_t hq[5U] = { 0U };
+ uint8_t rb[32U] = { 0U };
+ uint8_t *public_key = expanded_keys;
+ uint8_t *s = expanded_keys + (uint32_t)32U;
+ uint8_t *prefix = expanded_keys + (uint32_t)64U;
+ sha512_modq_pre(rq, prefix, msg_len, msg);
+ store_56(rb, rq);
+ point_mul_g_compress(rs, rb);
+ sha512_modq_pre_pre2(hq, rs, public_key, msg_len, msg);
+ uint64_t aq[5U] = { 0U };
+ load_32_bytes(aq, s);
+ mul_modq(aq, hq, aq);
+ add_modq(aq, rq, aq);
+ store_56(ss, aq);
+}
+
+/**
+Create an Ed25519 signature.
+
+ The outparam `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
+ The argument `private_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+ The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
+
+ The function first calls `expand_keys` and then invokes `sign_expanded`.
+
+ If one needs to sign several messages under the same private key, it is more efficient
+ to call `expand_keys` only once and `sign_expanded` multiple times, for each message.
+*/
+void
+Hacl_Ed25519_sign(uint8_t *signature, uint8_t *private_key, uint32_t msg_len, uint8_t *msg)
+{
+ uint8_t expanded_keys[96U] = { 0U };
+ Hacl_Ed25519_expand_keys(expanded_keys, private_key);
+ Hacl_Ed25519_sign_expanded(signature, expanded_keys, msg_len, msg);
+}
+
+/**
+Verify an Ed25519 signature.
+
+ The function returns `true` if the signature is valid and `false` otherwise.
+
+ The argument `public_key` points to 32 bytes of valid memory, i.e., uint8_t[32].
+ The argument `msg` points to `msg_len` bytes of valid memory, i.e., uint8_t[msg_len].
+ The argument `signature` points to 64 bytes of valid memory, i.e., uint8_t[64].
+*/
+bool
+Hacl_Ed25519_verify(uint8_t *public_key, uint32_t msg_len, uint8_t *msg, uint8_t *signature)
+{
+ uint64_t a_[20U] = { 0U };
+ bool b = Hacl_Impl_Ed25519_PointDecompress_point_decompress(a_, public_key);
+ if (b) {
+ uint64_t r_[20U] = { 0U };
+ uint8_t *rs = signature;
+ bool b_ = Hacl_Impl_Ed25519_PointDecompress_point_decompress(r_, rs);
+ if (b_) {
+ uint8_t hb[32U] = { 0U };
+ uint8_t *rs1 = signature;
+ uint8_t *sb = signature + (uint32_t)32U;
+ uint64_t tmp[5U] = { 0U };
+ load_32_bytes(tmp, sb);
+ bool b1 = gte_q(tmp);
+ bool b10 = b1;
+ if (b10) {
+ return false;
+ }
+ uint64_t tmp0[5U] = { 0U };
+ sha512_modq_pre_pre2(tmp0, rs1, public_key, msg_len, msg);
+ store_56(hb, tmp0);
+ uint64_t exp_d[20U] = { 0U };
+ point_negate_mul_double_g_vartime(exp_d, sb, hb, a_);
+ bool b2 = Hacl_Impl_Ed25519_PointEqual_point_equal(exp_d, r_);
+ return b2;
+ }
+ return false;
+ }
+ return false;
+}
generated by cgit v1.2.3 (git 2.39.1) at 2024-07-19 11:30:11 +0000