Initial commit

Initial commit.
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kntran1
2026-03-23 14:40:39 -05:00
parent e84b2b4166
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The MIT License (MIT)
Copyright (c) 2015-2016 the fiat-crypto authors (see
https://github.com/mit-plv/fiat-crypto/blob/master/AUTHORS).
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.

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name: "fiat"
description: "Fiat-Crypto: Synthesizing Correct-by-Construction Code for Cryptographic Primitives."
third_party {
url {
type: GIT
value: "https://github.com/mit-plv/fiat-crypto"
}
version: "4441785fb44b88bb6943ddbf639d872c8c903281"
last_upgrade_date { year: 2019 month: 1 day: 16 }
local_modifications: "Fiat-generated code has been integrated into existing BoringSSL code"
}

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Name: Fiat-Crypto: Synthesizing Correct-by-Construction Code for Cryptographic Primitives
Short Name: fiat-crypto
URL: https://github.com/mit-plv/fiat-crypto
Version: git (see METADATA)
License: MIT
License File: LICENSE
Security Critical: yes
Description:
See README.md and METADATA.

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# Fiat
Some of the code in this directory is generated by
[Fiat](https://github.com/mit-plv/fiat-crypto) and thus these files are
licensed under the MIT license. (See LICENSE file.)
## Curve25519
To generate the field arithmetic procedures in `curve25519.c` from a fiat-crypto
checkout (as of `7892c66d5e0e5770c79463ce551193ceef870641`), run
`make src/Specific/solinas32_2e255m19_10limbs/femul.c` (replacing `femul` with
the desired field operation). The "source" file specifying the finite field and
referencing the desired implementation strategy is
`src/Specific/solinas32_2e255m19_10limbs/CurveParameters.v`, specifying roughly
"unsaturated arithmetic modulo 2^255-19 using 10 limbs of radix 2^25.5 in 32-bit
unsigned integers with a single carry chain and two wraparound carries" where
only the prime is considered normative and everything else is treated as
"compiler hints".
The 64-bit implementation uses 5 limbs of radix 2^51 with instruction scheduling
taken from curve25519-donna-c64. It is found in
`src/Specific/solinas64_2e255m19_5limbs_donna`.
## P256
To generate the field arithmetic procedures in `p256.c` from a fiat-crypto
checkout, run
`make src/Specific/montgomery64_2e256m2e224p2e192p2e96m1_4limbs/femul.c`.
The corresponding "source" file is
`src/Specific/montgomery64_2e256m2e224p2e192p2e96m1_4limbs/CurveParameters.v`,
specifying roughly "64-bit saturated word-by-word Montgomery reduction modulo
2^256 - 2^224 + 2^192 + 2^96 - 1". Again, everything except for the prime is
untrusted. There is currently a known issue where `fesub.c` for p256 does not
manage to complete the build (specialization) within a week on Coq 8.7.0.
<https://github.com/JasonGross/fiat-crypto/tree/3e6851ddecaac70d0feb484a75360d57f6e41244/src/Specific/montgomery64_2e256m2e224p2e192p2e96m1_4limbs>
does manage to build that file, but the work on that branch was never finished
(the correctness proofs of implementation templates still apply, but the
now abandoned prototype specialization facilities there are unverified).
## Working With Fiat Crypto Field Arithmetic
The fiat-crypto readme <https://github.com/mit-plv/fiat-crypto#arithmetic-core>
contains an overview of the implementation templates followed by a tour of the
specialization machinery. It may be helpful to first read about the less messy
parts of the system from chapter 3 of <http://adam.chlipala.net/theses/andreser.pdf>.
There is work ongoing to replace the entire specialization mechanism with
something much more principled <https://github.com/mit-plv/fiat-crypto/projects/4>.

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#
# Licensed to the Apache Software Foundation (ASF) under one
# or more contributor license agreements. See the NOTICE file
# distributed with this work for additional information
# regarding copyright ownership. The ASF licenses this file
# to you 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.
#
pkg.name: ext/fiat
pkg.description: "MCUboot's bundled fiat-crypto"
pkg.author: "Apache Mynewt <dev@mynewt.apache.org>"
pkg.homepage: "http://mynewt.apache.org/"
pkg.keywords:

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/* Autogenerated */
/* curve description: 25519 */
/* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */
/* n = 10 (from "10") */
/* s = 0x8000000000000000000000000000000000000000000000000000000000000000 (from "2^255") */
/* c = [(1, 19)] (from "1,19") */
/* machine_wordsize = 32 (from "32") */
#include <stdint.h>
#ifndef UINT64_C
#define UINT64_C(x) x##ULL
#endif
#ifndef UINT32_C
#define UINT32_C(x) x##UL
#endif
#ifndef UINT8_C
#define UINT8_C(x) (x)
#endif
// fe means field element. Here the field is \Z/(2^255-19). An element t,
// entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77
// t[3]+2^102 t[4]+...+2^230 t[9].
// fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc.
// Multiplication and carrying produce fe from fe_loose.
typedef struct fe { uint32_t v[10]; } fe;
// fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc.
// Addition and subtraction produce fe_loose from (fe, fe).
typedef struct fe_loose { uint32_t v[10]; } fe_loose;
// ge means group element.
//
// Here the group is the set of pairs (x,y) of field elements (see fe.h)
// satisfying -x^2 + y^2 = 1 + d x^2y^2
// where d = -121665/121666.
//
// Representations:
// ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
// ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
// ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
// ge_precomp (Duif): (y+x,y-x,2dxy)
typedef struct {
fe X;
fe Y;
fe Z;
} ge_p2;
typedef struct {
fe X;
fe Y;
fe Z;
fe T;
} ge_p3;
typedef struct {
fe_loose X;
fe_loose Y;
fe_loose Z;
fe_loose T;
} ge_p1p1;
typedef struct {
fe_loose yplusx;
fe_loose yminusx;
fe_loose xy2d;
} ge_precomp;
typedef struct {
fe_loose YplusX;
fe_loose YminusX;
fe_loose Z;
fe_loose T2d;
} ge_cached;
typedef unsigned char fiat_25519_uint1;
typedef signed char fiat_25519_int1;
/*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffff]
* arg3: [0x0 ~> 0x3ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_25519_addcarryx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint32_t x1 = ((arg1 + arg2) + arg3);
uint32_t x2 = (x1 & UINT32_C(0x3ffffff));
fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 26);
*out1 = x2;
*out2 = x3;
}
/*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffff]
* arg3: [0x0 ~> 0x3ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_25519_subborrowx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3);
fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 26);
uint32_t x3 = (x1 & UINT32_C(0x3ffffff));
*out1 = x3;
*out2 = (fiat_25519_uint1)(0x0 - x2);
}
/*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffff]
* arg3: [0x0 ~> 0x1ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_25519_addcarryx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint32_t x1 = ((arg1 + arg2) + arg3);
uint32_t x2 = (x1 & UINT32_C(0x1ffffff));
fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 25);
*out1 = x2;
*out2 = x3;
}
/*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffff]
* arg3: [0x0 ~> 0x1ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_25519_subborrowx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3);
fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 25);
uint32_t x3 = (x1 & UINT32_C(0x1ffffff));
*out1 = x3;
*out2 = (fiat_25519_uint1)(0x0 - x2);
}
// value_barrier_u32 returns |a|, but prevents GCC and Clang from reasoning about
// the returned value. This is used to mitigate compilers undoing constant-time
// code, until we can express our requirements directly in the language.
//
// Note the compiler is aware that |value_barrier_u32| has no side effects and
// always has the same output for a given input. This allows it to eliminate
// dead code, move computations across loops, and vectorize.
static inline uint32_t value_barrier_u32(uint32_t a) {
#if !defined(OPENSSL_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
__asm__("" : "+r"(a) : /* no inputs */);
#endif
return a;
}
/*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
*/
static void fiat_25519_cmovznz_u32(uint32_t* out1, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
fiat_25519_uint1 x1 = (!(!arg1));
uint32_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT32_C(0xffffffff));
// Note this line has been patched from the synthesized code to add value
// barriers.
//
// Clang recognizes this pattern as a select. While it usually transforms it
// to a cmov, it sometimes further transforms it into a branch, which we do
// not want.
uint32_t x3 = ((value_barrier_u32(x2) & arg3) | (value_barrier_u32(~x2) & arg2));
*out1 = x3;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
* arg2: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
* Output Bounds:
* out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
*/
static void fiat_25519_carry_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) {
uint64_t x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13)));
uint64_t x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13)));
uint64_t x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13)));
uint64_t x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13)));
uint64_t x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13)));
uint64_t x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13)));
uint64_t x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * (uint32_t)UINT8_C(0x13)));
uint64_t x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13)));
uint64_t x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13)));
uint64_t x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13)));
uint64_t x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13)));
uint64_t x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13)));
uint64_t x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13)));
uint64_t x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13)));
uint64_t x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13)));
uint64_t x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13)));
uint64_t x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13)));
uint64_t x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13)));
uint64_t x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13))));
uint64_t x46 = ((uint64_t)(arg1[9]) * (arg2[0]));
uint64_t x47 = ((uint64_t)(arg1[8]) * (arg2[1]));
uint64_t x48 = ((uint64_t)(arg1[8]) * (arg2[0]));
uint64_t x49 = ((uint64_t)(arg1[7]) * (arg2[2]));
uint64_t x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * (uint32_t)0x2));
uint64_t x51 = ((uint64_t)(arg1[7]) * (arg2[0]));
uint64_t x52 = ((uint64_t)(arg1[6]) * (arg2[3]));
uint64_t x53 = ((uint64_t)(arg1[6]) * (arg2[2]));
uint64_t x54 = ((uint64_t)(arg1[6]) * (arg2[1]));
uint64_t x55 = ((uint64_t)(arg1[6]) * (arg2[0]));
uint64_t x56 = ((uint64_t)(arg1[5]) * (arg2[4]));
uint64_t x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * (uint32_t)0x2));
uint64_t x58 = ((uint64_t)(arg1[5]) * (arg2[2]));
uint64_t x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * (uint32_t)0x2));
uint64_t x60 = ((uint64_t)(arg1[5]) * (arg2[0]));
uint64_t x61 = ((uint64_t)(arg1[4]) * (arg2[5]));
uint64_t x62 = ((uint64_t)(arg1[4]) * (arg2[4]));
uint64_t x63 = ((uint64_t)(arg1[4]) * (arg2[3]));
uint64_t x64 = ((uint64_t)(arg1[4]) * (arg2[2]));
uint64_t x65 = ((uint64_t)(arg1[4]) * (arg2[1]));
uint64_t x66 = ((uint64_t)(arg1[4]) * (arg2[0]));
uint64_t x67 = ((uint64_t)(arg1[3]) * (arg2[6]));
uint64_t x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * (uint32_t)0x2));
uint64_t x69 = ((uint64_t)(arg1[3]) * (arg2[4]));
uint64_t x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * (uint32_t)0x2));
uint64_t x71 = ((uint64_t)(arg1[3]) * (arg2[2]));
uint64_t x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * (uint32_t)0x2));
uint64_t x73 = ((uint64_t)(arg1[3]) * (arg2[0]));
uint64_t x74 = ((uint64_t)(arg1[2]) * (arg2[7]));
uint64_t x75 = ((uint64_t)(arg1[2]) * (arg2[6]));
uint64_t x76 = ((uint64_t)(arg1[2]) * (arg2[5]));
uint64_t x77 = ((uint64_t)(arg1[2]) * (arg2[4]));
uint64_t x78 = ((uint64_t)(arg1[2]) * (arg2[3]));
uint64_t x79 = ((uint64_t)(arg1[2]) * (arg2[2]));
uint64_t x80 = ((uint64_t)(arg1[2]) * (arg2[1]));
uint64_t x81 = ((uint64_t)(arg1[2]) * (arg2[0]));
uint64_t x82 = ((uint64_t)(arg1[1]) * (arg2[8]));
uint64_t x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * (uint32_t)0x2));
uint64_t x84 = ((uint64_t)(arg1[1]) * (arg2[6]));
uint64_t x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * (uint32_t)0x2));
uint64_t x86 = ((uint64_t)(arg1[1]) * (arg2[4]));
uint64_t x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * (uint32_t)0x2));
uint64_t x88 = ((uint64_t)(arg1[1]) * (arg2[2]));
uint64_t x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * (uint32_t)0x2));
uint64_t x90 = ((uint64_t)(arg1[1]) * (arg2[0]));
uint64_t x91 = ((uint64_t)(arg1[0]) * (arg2[9]));
uint64_t x92 = ((uint64_t)(arg1[0]) * (arg2[8]));
uint64_t x93 = ((uint64_t)(arg1[0]) * (arg2[7]));
uint64_t x94 = ((uint64_t)(arg1[0]) * (arg2[6]));
uint64_t x95 = ((uint64_t)(arg1[0]) * (arg2[5]));
uint64_t x96 = ((uint64_t)(arg1[0]) * (arg2[4]));
uint64_t x97 = ((uint64_t)(arg1[0]) * (arg2[3]));
uint64_t x98 = ((uint64_t)(arg1[0]) * (arg2[2]));
uint64_t x99 = ((uint64_t)(arg1[0]) * (arg2[1]));
uint64_t x100 = ((uint64_t)(arg1[0]) * (arg2[0]));
uint64_t x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9)))))))));
uint64_t x102 = (x101 >> 26);
uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff));
uint64_t x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46)))))))));
uint64_t x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1)))))))));
uint64_t x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2)))))))));
uint64_t x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3)))))))));
uint64_t x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4)))))))));
uint64_t x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5)))))))));
uint64_t x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6)))))))));
uint64_t x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7)))))))));
uint64_t x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8)))))))));
uint64_t x113 = (x102 + x112);
uint64_t x114 = (x113 >> 25);
uint32_t x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff));
uint64_t x116 = (x114 + x111);
uint64_t x117 = (x116 >> 26);
uint32_t x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff));
uint64_t x119 = (x117 + x110);
uint64_t x120 = (x119 >> 25);
uint32_t x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff));
uint64_t x122 = (x120 + x109);
uint64_t x123 = (x122 >> 26);
uint32_t x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff));
uint64_t x125 = (x123 + x108);
uint64_t x126 = (x125 >> 25);
uint32_t x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff));
uint64_t x128 = (x126 + x107);
uint64_t x129 = (x128 >> 26);
uint32_t x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff));
uint64_t x131 = (x129 + x106);
uint64_t x132 = (x131 >> 25);
uint32_t x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff));
uint64_t x134 = (x132 + x105);
uint64_t x135 = (x134 >> 26);
uint32_t x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff));
uint64_t x137 = (x135 + x104);
uint64_t x138 = (x137 >> 25);
uint32_t x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff));
uint64_t x140 = (x138 * (uint64_t)UINT8_C(0x13));
uint64_t x141 = (x103 + x140);
uint32_t x142 = (uint32_t)(x141 >> 26);
uint32_t x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff));
uint32_t x144 = (x142 + x115);
uint32_t x145 = (x144 >> 25);
uint32_t x146 = (x144 & UINT32_C(0x1ffffff));
uint32_t x147 = (x145 + x118);
out1[0] = x143;
out1[1] = x146;
out1[2] = x147;
out1[3] = x121;
out1[4] = x124;
out1[5] = x127;
out1[6] = x130;
out1[7] = x133;
out1[8] = x136;
out1[9] = x139;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
* Output Bounds:
* out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
*/
static void fiat_25519_carry_square(uint32_t out1[10], const uint32_t arg1[10]) {
uint32_t x1 = ((arg1[9]) * (uint32_t)UINT8_C(0x13));
uint32_t x2 = (x1 * (uint32_t)0x2);
uint32_t x3 = ((arg1[9]) * (uint32_t)0x2);
uint32_t x4 = ((arg1[8]) * (uint32_t)UINT8_C(0x13));
uint64_t x5 = (x4 * (uint64_t)0x2);
uint32_t x6 = ((arg1[8]) * (uint32_t)0x2);
uint32_t x7 = ((arg1[7]) * (uint32_t)UINT8_C(0x13));
uint32_t x8 = (x7 * (uint32_t)0x2);
uint32_t x9 = ((arg1[7]) * (uint32_t)0x2);
uint32_t x10 = ((arg1[6]) * (uint32_t)UINT8_C(0x13));
uint64_t x11 = (x10 * (uint64_t)0x2);
uint32_t x12 = ((arg1[6]) * (uint32_t)0x2);
uint32_t x13 = ((arg1[5]) * (uint32_t)UINT8_C(0x13));
uint32_t x14 = ((arg1[5]) * (uint32_t)0x2);
uint32_t x15 = ((arg1[4]) * (uint32_t)0x2);
uint32_t x16 = ((arg1[3]) * (uint32_t)0x2);
uint32_t x17 = ((arg1[2]) * (uint32_t)0x2);
uint32_t x18 = ((arg1[1]) * (uint32_t)0x2);
uint64_t x19 = ((uint64_t)(arg1[9]) * (x1 * (uint32_t)0x2));
uint64_t x20 = ((uint64_t)(arg1[8]) * x2);
uint64_t x21 = ((uint64_t)(arg1[8]) * x4);
uint64_t x22 = ((arg1[7]) * (x2 * (uint64_t)0x2));
uint64_t x23 = ((arg1[7]) * x5);
uint64_t x24 = ((uint64_t)(arg1[7]) * (x7 * (uint32_t)0x2));
uint64_t x25 = ((uint64_t)(arg1[6]) * x2);
uint64_t x26 = ((arg1[6]) * x5);
uint64_t x27 = ((uint64_t)(arg1[6]) * x8);
uint64_t x28 = ((uint64_t)(arg1[6]) * x10);
uint64_t x29 = ((arg1[5]) * (x2 * (uint64_t)0x2));
uint64_t x30 = ((arg1[5]) * x5);
uint64_t x31 = ((arg1[5]) * (x8 * (uint64_t)0x2));
uint64_t x32 = ((arg1[5]) * x11);
uint64_t x33 = ((uint64_t)(arg1[5]) * (x13 * (uint32_t)0x2));
uint64_t x34 = ((uint64_t)(arg1[4]) * x2);
uint64_t x35 = ((arg1[4]) * x5);
uint64_t x36 = ((uint64_t)(arg1[4]) * x8);
uint64_t x37 = ((arg1[4]) * x11);
uint64_t x38 = ((uint64_t)(arg1[4]) * x14);
uint64_t x39 = ((uint64_t)(arg1[4]) * (arg1[4]));
uint64_t x40 = ((arg1[3]) * (x2 * (uint64_t)0x2));
uint64_t x41 = ((arg1[3]) * x5);
uint64_t x42 = ((arg1[3]) * (x8 * (uint64_t)0x2));
uint64_t x43 = ((uint64_t)(arg1[3]) * x12);
uint64_t x44 = ((uint64_t)(arg1[3]) * (x14 * (uint32_t)0x2));
uint64_t x45 = ((uint64_t)(arg1[3]) * x15);
uint64_t x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * (uint32_t)0x2));
uint64_t x47 = ((uint64_t)(arg1[2]) * x2);
uint64_t x48 = ((arg1[2]) * x5);
uint64_t x49 = ((uint64_t)(arg1[2]) * x9);
uint64_t x50 = ((uint64_t)(arg1[2]) * x12);
uint64_t x51 = ((uint64_t)(arg1[2]) * x14);
uint64_t x52 = ((uint64_t)(arg1[2]) * x15);
uint64_t x53 = ((uint64_t)(arg1[2]) * x16);
uint64_t x54 = ((uint64_t)(arg1[2]) * (arg1[2]));
uint64_t x55 = ((arg1[1]) * (x2 * (uint64_t)0x2));
uint64_t x56 = ((uint64_t)(arg1[1]) * x6);
uint64_t x57 = ((uint64_t)(arg1[1]) * (x9 * (uint32_t)0x2));
uint64_t x58 = ((uint64_t)(arg1[1]) * x12);
uint64_t x59 = ((uint64_t)(arg1[1]) * (x14 * (uint32_t)0x2));
uint64_t x60 = ((uint64_t)(arg1[1]) * x15);
uint64_t x61 = ((uint64_t)(arg1[1]) * (x16 * (uint32_t)0x2));
uint64_t x62 = ((uint64_t)(arg1[1]) * x17);
uint64_t x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * (uint32_t)0x2));
uint64_t x64 = ((uint64_t)(arg1[0]) * x3);
uint64_t x65 = ((uint64_t)(arg1[0]) * x6);
uint64_t x66 = ((uint64_t)(arg1[0]) * x9);
uint64_t x67 = ((uint64_t)(arg1[0]) * x12);
uint64_t x68 = ((uint64_t)(arg1[0]) * x14);
uint64_t x69 = ((uint64_t)(arg1[0]) * x15);
uint64_t x70 = ((uint64_t)(arg1[0]) * x16);
uint64_t x71 = ((uint64_t)(arg1[0]) * x17);
uint64_t x72 = ((uint64_t)(arg1[0]) * x18);
uint64_t x73 = ((uint64_t)(arg1[0]) * (arg1[0]));
uint64_t x74 = (x73 + (x55 + (x48 + (x42 + (x37 + x33)))));
uint64_t x75 = (x74 >> 26);
uint32_t x76 = (uint32_t)(x74 & UINT32_C(0x3ffffff));
uint64_t x77 = (x64 + (x56 + (x49 + (x43 + x38))));
uint64_t x78 = (x65 + (x57 + (x50 + (x44 + (x39 + x19)))));
uint64_t x79 = (x66 + (x58 + (x51 + (x45 + x20))));
uint64_t x80 = (x67 + (x59 + (x52 + (x46 + (x22 + x21)))));
uint64_t x81 = (x68 + (x60 + (x53 + (x25 + x23))));
uint64_t x82 = (x69 + (x61 + (x54 + (x29 + (x26 + x24)))));
uint64_t x83 = (x70 + (x62 + (x34 + (x30 + x27))));
uint64_t x84 = (x71 + (x63 + (x40 + (x35 + (x31 + x28)))));
uint64_t x85 = (x72 + (x47 + (x41 + (x36 + x32))));
uint64_t x86 = (x75 + x85);
uint64_t x87 = (x86 >> 25);
uint32_t x88 = (uint32_t)(x86 & UINT32_C(0x1ffffff));
uint64_t x89 = (x87 + x84);
uint64_t x90 = (x89 >> 26);
uint32_t x91 = (uint32_t)(x89 & UINT32_C(0x3ffffff));
uint64_t x92 = (x90 + x83);
uint64_t x93 = (x92 >> 25);
uint32_t x94 = (uint32_t)(x92 & UINT32_C(0x1ffffff));
uint64_t x95 = (x93 + x82);
uint64_t x96 = (x95 >> 26);
uint32_t x97 = (uint32_t)(x95 & UINT32_C(0x3ffffff));
uint64_t x98 = (x96 + x81);
uint64_t x99 = (x98 >> 25);
uint32_t x100 = (uint32_t)(x98 & UINT32_C(0x1ffffff));
uint64_t x101 = (x99 + x80);
uint64_t x102 = (x101 >> 26);
uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff));
uint64_t x104 = (x102 + x79);
uint64_t x105 = (x104 >> 25);
uint32_t x106 = (uint32_t)(x104 & UINT32_C(0x1ffffff));
uint64_t x107 = (x105 + x78);
uint64_t x108 = (x107 >> 26);
uint32_t x109 = (uint32_t)(x107 & UINT32_C(0x3ffffff));
uint64_t x110 = (x108 + x77);
uint64_t x111 = (x110 >> 25);
uint32_t x112 = (uint32_t)(x110 & UINT32_C(0x1ffffff));
uint64_t x113 = (x111 * (uint64_t)UINT8_C(0x13));
uint64_t x114 = (x76 + x113);
uint32_t x115 = (uint32_t)(x114 >> 26);
uint32_t x116 = (uint32_t)(x114 & UINT32_C(0x3ffffff));
uint32_t x117 = (x115 + x88);
uint32_t x118 = (x117 >> 25);
uint32_t x119 = (x117 & UINT32_C(0x1ffffff));
uint32_t x120 = (x118 + x91);
out1[0] = x116;
out1[1] = x119;
out1[2] = x120;
out1[3] = x94;
out1[4] = x97;
out1[5] = x100;
out1[6] = x103;
out1[7] = x106;
out1[8] = x109;
out1[9] = x112;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
* Output Bounds:
* out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
*/
static void fiat_25519_carry(uint32_t out1[10], const uint32_t arg1[10]) {
uint32_t x1 = (arg1[0]);
uint32_t x2 = ((x1 >> 26) + (arg1[1]));
uint32_t x3 = ((x2 >> 25) + (arg1[2]));
uint32_t x4 = ((x3 >> 26) + (arg1[3]));
uint32_t x5 = ((x4 >> 25) + (arg1[4]));
uint32_t x6 = ((x5 >> 26) + (arg1[5]));
uint32_t x7 = ((x6 >> 25) + (arg1[6]));
uint32_t x8 = ((x7 >> 26) + (arg1[7]));
uint32_t x9 = ((x8 >> 25) + (arg1[8]));
uint32_t x10 = ((x9 >> 26) + (arg1[9]));
uint32_t x11 = ((x1 & UINT32_C(0x3ffffff)) + ((x10 >> 25) * (uint32_t)UINT8_C(0x13)));
uint32_t x12 = ((x11 >> 26) + (x2 & UINT32_C(0x1ffffff)));
uint32_t x13 = (x11 & UINT32_C(0x3ffffff));
uint32_t x14 = (x12 & UINT32_C(0x1ffffff));
uint32_t x15 = ((x12 >> 25) + (x3 & UINT32_C(0x3ffffff)));
uint32_t x16 = (x4 & UINT32_C(0x1ffffff));
uint32_t x17 = (x5 & UINT32_C(0x3ffffff));
uint32_t x18 = (x6 & UINT32_C(0x1ffffff));
uint32_t x19 = (x7 & UINT32_C(0x3ffffff));
uint32_t x20 = (x8 & UINT32_C(0x1ffffff));
uint32_t x21 = (x9 & UINT32_C(0x3ffffff));
uint32_t x22 = (x10 & UINT32_C(0x1ffffff));
out1[0] = x13;
out1[1] = x14;
out1[2] = x15;
out1[3] = x16;
out1[4] = x17;
out1[5] = x18;
out1[6] = x19;
out1[7] = x20;
out1[8] = x21;
out1[9] = x22;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* Output Bounds:
* out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
*/
static void fiat_25519_add(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) {
uint32_t x1 = ((arg1[0]) + (arg2[0]));
uint32_t x2 = ((arg1[1]) + (arg2[1]));
uint32_t x3 = ((arg1[2]) + (arg2[2]));
uint32_t x4 = ((arg1[3]) + (arg2[3]));
uint32_t x5 = ((arg1[4]) + (arg2[4]));
uint32_t x6 = ((arg1[5]) + (arg2[5]));
uint32_t x7 = ((arg1[6]) + (arg2[6]));
uint32_t x8 = ((arg1[7]) + (arg2[7]));
uint32_t x9 = ((arg1[8]) + (arg2[8]));
uint32_t x10 = ((arg1[9]) + (arg2[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* Output Bounds:
* out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
*/
static void fiat_25519_sub(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) {
uint32_t x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0]));
uint32_t x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1]));
uint32_t x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2]));
uint32_t x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3]));
uint32_t x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4]));
uint32_t x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5]));
uint32_t x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6]));
uint32_t x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7]));
uint32_t x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8]));
uint32_t x10 = ((UINT32_C(0x3fffffe) + (arg1[9])) - (arg2[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* Output Bounds:
* out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]]
*/
static void fiat_25519_opp(uint32_t out1[10], const uint32_t arg1[10]) {
uint32_t x1 = (UINT32_C(0x7ffffda) - (arg1[0]));
uint32_t x2 = (UINT32_C(0x3fffffe) - (arg1[1]));
uint32_t x3 = (UINT32_C(0x7fffffe) - (arg1[2]));
uint32_t x4 = (UINT32_C(0x3fffffe) - (arg1[3]));
uint32_t x5 = (UINT32_C(0x7fffffe) - (arg1[4]));
uint32_t x6 = (UINT32_C(0x3fffffe) - (arg1[5]));
uint32_t x7 = (UINT32_C(0x7fffffe) - (arg1[6]));
uint32_t x8 = (UINT32_C(0x3fffffe) - (arg1[7]));
uint32_t x9 = (UINT32_C(0x7fffffe) - (arg1[8]));
uint32_t x10 = (UINT32_C(0x3fffffe) - (arg1[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
* Output Bounds:
* out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
*/
static void fiat_25519_to_bytes(uint8_t out1[32], const uint32_t arg1[10]) {
uint32_t x1;
fiat_25519_uint1 x2;
fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed));
uint32_t x3;
fiat_25519_uint1 x4;
fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff));
uint32_t x5;
fiat_25519_uint1 x6;
fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff));
uint32_t x7;
fiat_25519_uint1 x8;
fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff));
uint32_t x9;
fiat_25519_uint1 x10;
fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff));
uint32_t x11;
fiat_25519_uint1 x12;
fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff));
uint32_t x13;
fiat_25519_uint1 x14;
fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff));
uint32_t x15;
fiat_25519_uint1 x16;
fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff));
uint32_t x17;
fiat_25519_uint1 x18;
fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff));
uint32_t x19;
fiat_25519_uint1 x20;
fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff));
uint32_t x21;
fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff));
uint32_t x22;
fiat_25519_uint1 x23;
fiat_25519_addcarryx_u26(&x22, &x23, 0x0, (x21 & UINT32_C(0x3ffffed)), x1);
uint32_t x24;
fiat_25519_uint1 x25;
fiat_25519_addcarryx_u25(&x24, &x25, x23, (x21 & UINT32_C(0x1ffffff)), x3);
uint32_t x26;
fiat_25519_uint1 x27;
fiat_25519_addcarryx_u26(&x26, &x27, x25, (x21 & UINT32_C(0x3ffffff)), x5);
uint32_t x28;
fiat_25519_uint1 x29;
fiat_25519_addcarryx_u25(&x28, &x29, x27, (x21 & UINT32_C(0x1ffffff)), x7);
uint32_t x30;
fiat_25519_uint1 x31;
fiat_25519_addcarryx_u26(&x30, &x31, x29, (x21 & UINT32_C(0x3ffffff)), x9);
uint32_t x32;
fiat_25519_uint1 x33;
fiat_25519_addcarryx_u25(&x32, &x33, x31, (x21 & UINT32_C(0x1ffffff)), x11);
uint32_t x34;
fiat_25519_uint1 x35;
fiat_25519_addcarryx_u26(&x34, &x35, x33, (x21 & UINT32_C(0x3ffffff)), x13);
uint32_t x36;
fiat_25519_uint1 x37;
fiat_25519_addcarryx_u25(&x36, &x37, x35, (x21 & UINT32_C(0x1ffffff)), x15);
uint32_t x38;
fiat_25519_uint1 x39;
fiat_25519_addcarryx_u26(&x38, &x39, x37, (x21 & UINT32_C(0x3ffffff)), x17);
uint32_t x40;
fiat_25519_uint1 x41;
fiat_25519_addcarryx_u25(&x40, &x41, x39, (x21 & UINT32_C(0x1ffffff)), x19);
uint32_t x42 = (x40 << 6);
uint32_t x43 = (x38 << 4);
uint32_t x44 = (x36 << 3);
uint32_t x45 = (x34 * (uint32_t)0x2);
uint32_t x46 = (x30 << 6);
uint32_t x47 = (x28 << 5);
uint32_t x48 = (x26 << 3);
uint32_t x49 = (x24 << 2);
uint32_t x50 = (x22 >> 8);
uint8_t x51 = (uint8_t)(x22 & UINT8_C(0xff));
uint32_t x52 = (x50 >> 8);
uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff));
uint8_t x54 = (uint8_t)(x52 >> 8);
uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff));
uint32_t x56 = (x54 + x49);
uint32_t x57 = (x56 >> 8);
uint8_t x58 = (uint8_t)(x56 & UINT8_C(0xff));
uint32_t x59 = (x57 >> 8);
uint8_t x60 = (uint8_t)(x57 & UINT8_C(0xff));
uint8_t x61 = (uint8_t)(x59 >> 8);
uint8_t x62 = (uint8_t)(x59 & UINT8_C(0xff));
uint32_t x63 = (x61 + x48);
uint32_t x64 = (x63 >> 8);
uint8_t x65 = (uint8_t)(x63 & UINT8_C(0xff));
uint32_t x66 = (x64 >> 8);
uint8_t x67 = (uint8_t)(x64 & UINT8_C(0xff));
uint8_t x68 = (uint8_t)(x66 >> 8);
uint8_t x69 = (uint8_t)(x66 & UINT8_C(0xff));
uint32_t x70 = (x68 + x47);
uint32_t x71 = (x70 >> 8);
uint8_t x72 = (uint8_t)(x70 & UINT8_C(0xff));
uint32_t x73 = (x71 >> 8);
uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff));
uint8_t x75 = (uint8_t)(x73 >> 8);
uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff));
uint32_t x77 = (x75 + x46);
uint32_t x78 = (x77 >> 8);
uint8_t x79 = (uint8_t)(x77 & UINT8_C(0xff));
uint32_t x80 = (x78 >> 8);
uint8_t x81 = (uint8_t)(x78 & UINT8_C(0xff));
uint8_t x82 = (uint8_t)(x80 >> 8);
uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff));
uint8_t x84 = (uint8_t)(x82 & UINT8_C(0xff));
uint32_t x85 = (x32 >> 8);
uint8_t x86 = (uint8_t)(x32 & UINT8_C(0xff));
uint32_t x87 = (x85 >> 8);
uint8_t x88 = (uint8_t)(x85 & UINT8_C(0xff));
fiat_25519_uint1 x89 = (fiat_25519_uint1)(x87 >> 8);
uint8_t x90 = (uint8_t)(x87 & UINT8_C(0xff));
uint32_t x91 = (x89 + x45);
uint32_t x92 = (x91 >> 8);
uint8_t x93 = (uint8_t)(x91 & UINT8_C(0xff));
uint32_t x94 = (x92 >> 8);
uint8_t x95 = (uint8_t)(x92 & UINT8_C(0xff));
uint8_t x96 = (uint8_t)(x94 >> 8);
uint8_t x97 = (uint8_t)(x94 & UINT8_C(0xff));
uint32_t x98 = (x96 + x44);
uint32_t x99 = (x98 >> 8);
uint8_t x100 = (uint8_t)(x98 & UINT8_C(0xff));
uint32_t x101 = (x99 >> 8);
uint8_t x102 = (uint8_t)(x99 & UINT8_C(0xff));
uint8_t x103 = (uint8_t)(x101 >> 8);
uint8_t x104 = (uint8_t)(x101 & UINT8_C(0xff));
uint32_t x105 = (x103 + x43);
uint32_t x106 = (x105 >> 8);
uint8_t x107 = (uint8_t)(x105 & UINT8_C(0xff));
uint32_t x108 = (x106 >> 8);
uint8_t x109 = (uint8_t)(x106 & UINT8_C(0xff));
uint8_t x110 = (uint8_t)(x108 >> 8);
uint8_t x111 = (uint8_t)(x108 & UINT8_C(0xff));
uint32_t x112 = (x110 + x42);
uint32_t x113 = (x112 >> 8);
uint8_t x114 = (uint8_t)(x112 & UINT8_C(0xff));
uint32_t x115 = (x113 >> 8);
uint8_t x116 = (uint8_t)(x113 & UINT8_C(0xff));
uint8_t x117 = (uint8_t)(x115 >> 8);
uint8_t x118 = (uint8_t)(x115 & UINT8_C(0xff));
out1[0] = x51;
out1[1] = x53;
out1[2] = x55;
out1[3] = x58;
out1[4] = x60;
out1[5] = x62;
out1[6] = x65;
out1[7] = x67;
out1[8] = x69;
out1[9] = x72;
out1[10] = x74;
out1[11] = x76;
out1[12] = x79;
out1[13] = x81;
out1[14] = x83;
out1[15] = x84;
out1[16] = x86;
out1[17] = x88;
out1[18] = x90;
out1[19] = x93;
out1[20] = x95;
out1[21] = x97;
out1[22] = x100;
out1[23] = x102;
out1[24] = x104;
out1[25] = x107;
out1[26] = x109;
out1[27] = x111;
out1[28] = x114;
out1[29] = x116;
out1[30] = x118;
out1[31] = x117;
}
/*
* Input Bounds:
* arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
* Output Bounds:
* out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]]
*/
static void fiat_25519_from_bytes(uint32_t out1[10], const uint8_t arg1[32]) {
uint32_t x1 = ((uint32_t)(arg1[31]) << 18);
uint32_t x2 = ((uint32_t)(arg1[30]) << 10);
uint32_t x3 = ((uint32_t)(arg1[29]) << 2);
uint32_t x4 = ((uint32_t)(arg1[28]) << 20);
uint32_t x5 = ((uint32_t)(arg1[27]) << 12);
uint32_t x6 = ((uint32_t)(arg1[26]) << 4);
uint32_t x7 = ((uint32_t)(arg1[25]) << 21);
uint32_t x8 = ((uint32_t)(arg1[24]) << 13);
uint32_t x9 = ((uint32_t)(arg1[23]) << 5);
uint32_t x10 = ((uint32_t)(arg1[22]) << 23);
uint32_t x11 = ((uint32_t)(arg1[21]) << 15);
uint32_t x12 = ((uint32_t)(arg1[20]) << 7);
uint32_t x13 = ((uint32_t)(arg1[19]) << 24);
uint32_t x14 = ((uint32_t)(arg1[18]) << 16);
uint32_t x15 = ((uint32_t)(arg1[17]) << 8);
uint8_t x16 = (arg1[16]);
uint32_t x17 = ((uint32_t)(arg1[15]) << 18);
uint32_t x18 = ((uint32_t)(arg1[14]) << 10);
uint32_t x19 = ((uint32_t)(arg1[13]) << 2);
uint32_t x20 = ((uint32_t)(arg1[12]) << 19);
uint32_t x21 = ((uint32_t)(arg1[11]) << 11);
uint32_t x22 = ((uint32_t)(arg1[10]) << 3);
uint32_t x23 = ((uint32_t)(arg1[9]) << 21);
uint32_t x24 = ((uint32_t)(arg1[8]) << 13);
uint32_t x25 = ((uint32_t)(arg1[7]) << 5);
uint32_t x26 = ((uint32_t)(arg1[6]) << 22);
uint32_t x27 = ((uint32_t)(arg1[5]) << 14);
uint32_t x28 = ((uint32_t)(arg1[4]) << 6);
uint32_t x29 = ((uint32_t)(arg1[3]) << 24);
uint32_t x30 = ((uint32_t)(arg1[2]) << 16);
uint32_t x31 = ((uint32_t)(arg1[1]) << 8);
uint8_t x32 = (arg1[0]);
uint32_t x33 = (x32 + (x31 + (x30 + x29)));
uint8_t x34 = (uint8_t)(x33 >> 26);
uint32_t x35 = (x33 & UINT32_C(0x3ffffff));
uint32_t x36 = (x3 + (x2 + x1));
uint32_t x37 = (x6 + (x5 + x4));
uint32_t x38 = (x9 + (x8 + x7));
uint32_t x39 = (x12 + (x11 + x10));
uint32_t x40 = (x16 + (x15 + (x14 + x13)));
uint32_t x41 = (x19 + (x18 + x17));
uint32_t x42 = (x22 + (x21 + x20));
uint32_t x43 = (x25 + (x24 + x23));
uint32_t x44 = (x28 + (x27 + x26));
uint32_t x45 = (x34 + x44);
uint8_t x46 = (uint8_t)(x45 >> 25);
uint32_t x47 = (x45 & UINT32_C(0x1ffffff));
uint32_t x48 = (x46 + x43);
uint8_t x49 = (uint8_t)(x48 >> 26);
uint32_t x50 = (x48 & UINT32_C(0x3ffffff));
uint32_t x51 = (x49 + x42);
uint8_t x52 = (uint8_t)(x51 >> 25);
uint32_t x53 = (x51 & UINT32_C(0x1ffffff));
uint32_t x54 = (x52 + x41);
uint32_t x55 = (x54 & UINT32_C(0x3ffffff));
uint8_t x56 = (uint8_t)(x40 >> 25);
uint32_t x57 = (x40 & UINT32_C(0x1ffffff));
uint32_t x58 = (x56 + x39);
uint8_t x59 = (uint8_t)(x58 >> 26);
uint32_t x60 = (x58 & UINT32_C(0x3ffffff));
uint32_t x61 = (x59 + x38);
uint8_t x62 = (uint8_t)(x61 >> 25);
uint32_t x63 = (x61 & UINT32_C(0x1ffffff));
uint32_t x64 = (x62 + x37);
uint8_t x65 = (uint8_t)(x64 >> 26);
uint32_t x66 = (x64 & UINT32_C(0x3ffffff));
uint32_t x67 = (x65 + x36);
out1[0] = x35;
out1[1] = x47;
out1[2] = x50;
out1[3] = x53;
out1[4] = x55;
out1[5] = x57;
out1[6] = x60;
out1[7] = x63;
out1[8] = x66;
out1[9] = x67;
}

View File

@@ -0,0 +1,107 @@
// The MIT License (MIT)
//
// Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file).
//
// 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.
// This file is generated from
// ./make_curve25519_tables.py > curve25519_tables.h
static const fe d = {{
56195235, 13857412, 51736253, 6949390, 114729, 24766616,
60832955, 30306712, 48412415, 21499315
}};
static const fe sqrtm1 = {{
34513072, 25610706, 9377949, 3500415, 12389472,
33281959, 41962654, 31548777, 326685, 11406482
}};
static const fe d2 = {{
45281625, 27714825, 36363642, 13898781, 229458, 15978800,
54557047, 27058993, 29715967, 9444199
}};
// Bi[i] = (2*i+1)*B
static const ge_precomp Bi[8] = {
{
{{25967493, 19198397, 29566455, 3660896, 54414519, 4014786, 27544626,
21800161, 61029707, 2047604}},
{{54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692,
5043384, 19500929, 18085054}},
{{58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918,
11864899, 42594502, 29115885}},
},
{
{{15636272, 23865875, 24204772, 25642034, 616976, 16869170, 27787599,
18782243, 28944399, 32004408}},
{{16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576,
21778470, 7689661, 11199574}},
{{30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774,
10017326, 49359771, 23634074}},
},
{
{{10861363, 11473154, 27284546, 1981175, 37044515, 12577860, 32867885,
14515107, 51670560, 10819379}},
{{4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196,
12483687, 54440373, 5581305}},
{{19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349,
13850243, 43430843, 17738489}},
},
{
{{5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852,
5230134, 43156425, 18378665}},
{{36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025,
16520125, 30598449, 7715701}},
{{28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204,
1370707, 29794553, 32145132}},
},
{
{{44589871, 26862249, 14201701, 24808930, 43598457, 8844725, 18474211,
32192982, 54046167, 13821876}},
{{60653668, 25714560, 3374701, 28813570, 40010246, 22982724, 31655027,
26342105, 18853321, 19333481}},
{{4566811, 20590564, 38133974, 21313742, 59506191, 30723862, 58594505,
23123294, 2207752, 30344648}},
},
{
{{41954014, 29368610, 29681143, 7868801, 60254203, 24130566, 54671499,
32891431, 35997400, 17421995}},
{{25576264, 30851218, 7349803, 21739588, 16472781, 9300885, 3844789,
15725684, 171356, 6466918}},
{{23103977, 13316479, 9739013, 17404951, 817874, 18515490, 8965338,
19466374, 36393951, 16193876}},
},
{
{{33587053, 3180712, 64714734, 14003686, 50205390, 17283591, 17238397,
4729455, 49034351, 9256799}},
{{41926547, 29380300, 32336397, 5036987, 45872047, 11360616, 22616405,
9761698, 47281666, 630304}},
{{53388152, 2639452, 42871404, 26147950, 9494426, 27780403, 60554312,
17593437, 64659607, 19263131}},
},
{
{{63957664, 28508356, 9282713, 6866145, 35201802, 32691408, 48168288,
15033783, 25105118, 25659556}},
{{42782475, 15950225, 35307649, 18961608, 55446126, 28463506, 1573891,
30928545, 2198789, 17749813}},
{{64009494, 10324966, 64867251, 7453182, 61661885, 30818928, 53296841,
17317989, 34647629, 21263748}},
},
};