Jochen Hoenicke
8 years ago
parent
698f40f385
commit
55edf71e27
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/**
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* Copyright (c) 2016 Jochen Hoenicke
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the "Software"),
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* to deal in the Software without restriction, including without limitation
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* the rights to use, copy, modify, merge, publish, distribute, sublicense,
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* and/or sell copies of the Software, and to permit persons to whom the
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* Software is furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included
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* in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES
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* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
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* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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* OTHER DEALINGS IN THE SOFTWARE.
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*/
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const char SECP256K1_NAME[] = "secp256k1";
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const char NIST256P1_NAME[] = "nist256p1";
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const char ED25519_NAME[] = "ed25519";
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@ -0,0 +1,30 @@
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/**
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* Copyright (c) 2016 Jochen Hoenicke
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the "Software"),
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* to deal in the Software without restriction, including without limitation
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* the rights to use, copy, modify, merge, publish, distribute, sublicense,
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* and/or sell copies of the Software, and to permit persons to whom the
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* Software is furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included
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* in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES
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* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
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* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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* OTHER DEALINGS IN THE SOFTWARE.
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*/
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#ifndef __CURVES_H__
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#define __CURVES_H__
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extern const char SECP256K1_NAME[];
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extern const char NIST256P1_NAME[];
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extern const char ED25519_NAME[];
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#endif
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@ -0,0 +1,183 @@
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[ed25519](http://ed25519.cr.yp.to/) is an
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[Elliptic Curve Digital Signature Algortithm](http://en.wikipedia.org/wiki/Elliptic_Curve_DSA),
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developed by [Dan Bernstein](http://cr.yp.to/djb.html),
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[Niels Duif](http://www.nielsduif.nl/),
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[Tanja Lange](http://hyperelliptic.org/tanja),
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[Peter Schwabe](http://www.cryptojedi.org/users/peter/),
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and [Bo-Yin Yang](http://www.iis.sinica.edu.tw/pages/byyang/).
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This project provides performant, portable 32-bit & 64-bit implementations. All implementations are
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of course constant time in regard to secret data.
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#### Performance
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SSE2 code and benches have not been updated yet. I will do those next.
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Compilers versions are gcc 4.6.3, icc 13.1.1, clang 3.4-1~exp1.
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Batch verification time (in parentheses) is the average time per 1 verification in a batch of 64 signatures. Counts are in thousands of cycles.
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Note that SSE2 performance may be less impressive on AMD & older CPUs with slower SSE ops!
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Visual Studio performance for `ge25519_scalarmult_base_niels` will lag behind a bit until optimized assembler versions of `ge25519_scalarmult_base_choose_niels`
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are made.
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##### E5200 @ 2.5ghz, march=core2
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<table>
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<thead><tr><th>Implementation</th><th>Sign</th><th>gcc</th><th>icc</th><th>clang</th><th>Verify</th><th>gcc</th><th>icc</th><th>clang</th></tr></thead>
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<tbody>
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<tr><td>ed25519-donna 64bit </td><td></td><td>100k</td><td>110k</td><td>137k</td><td></td><td>327k (144k) </td><td>342k (163k) </td><td>422k (194k) </td></tr>
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<tr><td>amd64-64-24k </td><td></td><td>102k</td><td> </td><td> </td><td></td><td>355k (158k) </td><td> </td><td> </td></tr>
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<tr><td>ed25519-donna-sse2 64bit</td><td></td><td>108k</td><td>111k</td><td>116k</td><td></td><td>353k (155k) </td><td>345k (154k) </td><td>360k (161k) </td></tr>
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<tr><td>amd64-51-32k </td><td></td><td>116k</td><td> </td><td> </td><td></td><td>380k (175k) </td><td> </td><td> </td></tr>
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<tr><td>ed25519-donna-sse2 32bit</td><td></td><td>147k</td><td>147k</td><td>156k</td><td></td><td>380k (178k) </td><td>381k (173k) </td><td>430k (192k) </td></tr>
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<tr><td>ed25519-donna 32bit </td><td></td><td>597k</td><td>335k</td><td>380k</td><td></td><td>1693k (720k)</td><td>1052k (453k)</td><td>1141k (493k)</td></tr>
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</tbody>
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</table>
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##### E3-1270 @ 3.4ghz, march=corei7-avx
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<table>
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<thead><tr><th>Implementation</th><th>Sign</th><th>gcc</th><th>icc</th><th>clang</th><th>Verify</th><th>gcc</th><th>icc</th><th>clang</th></tr></thead>
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<tbody>
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<tr><td>amd64-64-24k </td><td></td><td> 68k</td><td> </td><td> </td><td></td><td>225k (104k) </td><td> </td><td> </td></tr>
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<tr><td>ed25519-donna 64bit </td><td></td><td> 71k</td><td> 75k</td><td> 90k</td><td></td><td>226k (105k) </td><td>226k (112k) </td><td>277k (125k) </td></tr>
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<tr><td>amd64-51-32k </td><td></td><td> 72k</td><td> </td><td> </td><td></td><td>218k (107k) </td><td> </td><td> </td></tr>
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<tr><td>ed25519-donna-sse2 64bit</td><td></td><td> 79k</td><td> 82k</td><td> 92k</td><td></td><td>252k (122k) </td><td>259k (124k) </td><td>282k (131k) </td></tr>
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<tr><td>ed25519-donna-sse2 32bit</td><td></td><td> 94k</td><td> 95k</td><td>103k</td><td></td><td>296k (146k) </td><td>294k (137k) </td><td>306k (147k) </td></tr>
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<tr><td>ed25519-donna 32bit </td><td></td><td>525k</td><td>299k</td><td>316k</td><td></td><td>1502k (645k)</td><td>959k (418k) </td><td>954k (416k) </td></tr>
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</tbody>
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</table>
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#### Compilation
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No configuration is needed **if you are compiling against OpenSSL**.
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##### Hash Options
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If you are not compiling aginst OpenSSL, you will need a hash function.
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To use a simple/**slow** implementation of SHA-512, use `-DED25519_REFHASH` when compiling `ed25519.c`.
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This should never be used except to verify the code works when OpenSSL is not available.
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To use a custom hash function, use `-DED25519_CUSTOMHASH` when compiling `ed25519.c` and put your
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custom hash implementation in ed25519-hash-custom.h. The hash must have a 512bit digest and implement
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struct ed25519_hash_context;
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void ed25519_hash_init(ed25519_hash_context *ctx);
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void ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen);
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void ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash);
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void ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen);
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##### Random Options
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If you are not compiling aginst OpenSSL, you will need a random function for batch verification.
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To use a custom random function, use `-DED25519_CUSTOMRANDOM` when compiling `ed25519.c` and put your
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custom hash implementation in ed25519-randombytes-custom.h. The random function must implement:
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void ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len);
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Use `-DED25519_TEST` when compiling `ed25519.c` to use a deterministically seeded, non-thread safe CSPRNG
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variant of Bob Jenkins [ISAAC](http://en.wikipedia.org/wiki/ISAAC_%28cipher%29)
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##### Minor options
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Use `-DED25519_INLINE_ASM` to disable the use of custom assembler routines and instead rely on portable C.
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Use `-DED25519_FORCE_32BIT` to force the use of 32 bit routines even when compiling for 64 bit.
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##### 32-bit
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gcc ed25519.c -m32 -O3 -c
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##### 64-bit
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gcc ed25519.c -m64 -O3 -c
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##### SSE2
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gcc ed25519.c -m32 -O3 -c -DED25519_SSE2 -msse2
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gcc ed25519.c -m64 -O3 -c -DED25519_SSE2
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clang and icc are also supported
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#### Usage
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To use the code, link against `ed25519.o -mbits` and:
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#include "ed25519.h"
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Add `-lssl -lcrypto` when using OpenSSL (Some systems don't need -lcrypto? It might be trial and error).
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To generate a private key, simply generate 32 bytes from a secure
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cryptographic source:
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ed25519_secret_key sk;
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randombytes(sk, sizeof(ed25519_secret_key));
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To generate a public key:
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ed25519_public_key pk;
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ed25519_publickey(sk, pk);
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To sign a message:
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ed25519_signature sig;
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ed25519_sign(message, message_len, sk, pk, signature);
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To verify a signature:
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int valid = ed25519_sign_open(message, message_len, pk, signature) == 0;
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To batch verify signatures:
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const unsigned char *mp[num] = {message1, message2..}
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size_t ml[num] = {message_len1, message_len2..}
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const unsigned char *pkp[num] = {pk1, pk2..}
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const unsigned char *sigp[num] = {signature1, signature2..}
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int valid[num]
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/* valid[i] will be set to 1 if the individual signature was valid, 0 otherwise */
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int all_valid = ed25519_sign_open_batch(mp, ml, pkp, sigp, num, valid) == 0;
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**Note**: Batch verification uses `ed25519_randombytes_unsafe`, implemented in
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`ed25519-randombytes.h`, to generate random scalars for the verification code.
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The default implementation now uses OpenSSLs `RAND_bytes`.
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Unlike the [SUPERCOP](http://bench.cr.yp.to/supercop.html) version, signatures are
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not appended to messages, and there is no need for padding in front of messages.
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Additionally, the secret key does not contain a copy of the public key, so it is
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32 bytes instead of 64 bytes, and the public key must be provided to the signing
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function.
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##### Curve25519
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Curve25519 public keys can be generated thanks to
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[Adam Langley](http://www.imperialviolet.org/2013/05/10/fastercurve25519.html)
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leveraging Ed25519's precomputed basepoint scalar multiplication.
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curved25519_key sk, pk;
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randombytes(sk, sizeof(curved25519_key));
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curved25519_scalarmult_basepoint(pk, sk);
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Note the name is curved25519, a combination of curve and ed25519, to prevent
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name clashes. Performance is slightly faster than short message ed25519
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signing due to both using the same code for the scalar multiply.
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#### Testing
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Fuzzing against reference implemenations is now available. See [fuzz/README](fuzz/README.md).
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Building `ed25519.c` with `-DED25519_TEST` and linking with `test.c` will run basic sanity tests
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and benchmark each function. `test-batch.c` has been incorporated in to `test.c`.
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`test-internals.c` is standalone and built the same way as `ed25519.c`. It tests the math primitives
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with extreme values to ensure they function correctly. SSE2 is now supported.
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#### Papers
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[Available on the Ed25519 website](http://ed25519.cr.yp.to/papers.html)
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@ -0,0 +1,579 @@
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/*
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Public domain by Andrew M. <liquidsun@gmail.com>
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See: https://github.com/floodyberry/curve25519-donna
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32 bit integer curve25519 implementation
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*/
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typedef uint32_t bignum25519[10];
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typedef uint32_t bignum25519align16[12];
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static const uint32_t reduce_mask_25 = (1 << 25) - 1;
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static const uint32_t reduce_mask_26 = (1 << 26) - 1;
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/* out = in */
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DONNA_INLINE static void
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curve25519_copy(bignum25519 out, const bignum25519 in) {
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out[0] = in[0];
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out[1] = in[1];
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out[2] = in[2];
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out[3] = in[3];
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out[4] = in[4];
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out[5] = in[5];
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out[6] = in[6];
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out[7] = in[7];
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out[8] = in[8];
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out[9] = in[9];
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}
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/* out = a + b */
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DONNA_INLINE static void
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curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) {
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out[0] = a[0] + b[0];
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out[1] = a[1] + b[1];
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out[2] = a[2] + b[2];
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out[3] = a[3] + b[3];
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out[4] = a[4] + b[4];
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out[5] = a[5] + b[5];
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out[6] = a[6] + b[6];
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out[7] = a[7] + b[7];
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out[8] = a[8] + b[8];
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out[9] = a[9] + b[9];
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}
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DONNA_INLINE static void
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curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
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uint32_t c;
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out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
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out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
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out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
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out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
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out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
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out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
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out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
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out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
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out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
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out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
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out[0] += 19 * c;
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}
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DONNA_INLINE static void
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curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
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uint32_t c;
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out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
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out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
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out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
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out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
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out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
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out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
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out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
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out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
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out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
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out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
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out[0] += 19 * c;
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}
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/* multiples of p */
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static const uint32_t twoP0 = 0x07ffffda;
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static const uint32_t twoP13579 = 0x03fffffe;
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static const uint32_t twoP2468 = 0x07fffffe;
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static const uint32_t fourP0 = 0x0fffffb4;
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static const uint32_t fourP13579 = 0x07fffffc;
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static const uint32_t fourP2468 = 0x0ffffffc;
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/* out = a - b */
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DONNA_INLINE static void
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curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) {
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uint32_t c;
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out[0] = twoP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
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out[1] = twoP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
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out[2] = twoP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
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out[3] = twoP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
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out[4] = twoP2468 + a[4] - b[4] + c;
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out[5] = twoP13579 + a[5] - b[5] ;
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out[6] = twoP2468 + a[6] - b[6] ;
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out[7] = twoP13579 + a[7] - b[7] ;
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out[8] = twoP2468 + a[8] - b[8] ;
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out[9] = twoP13579 + a[9] - b[9] ;
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}
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/* out = a - b, where a is the result of a basic op (add,sub) */
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DONNA_INLINE static void
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curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
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uint32_t c;
|
||||
out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
|
||||
out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
|
||||
out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
|
||||
out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
|
||||
out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
|
||||
out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
|
||||
out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
|
||||
out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
|
||||
out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
|
||||
out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
|
||||
out[0] += 19 * c;
|
||||
}
|
||||
|
||||
DONNA_INLINE static void
|
||||
curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
uint32_t c;
|
||||
out[0] = fourP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
|
||||
out[1] = fourP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
|
||||
out[2] = fourP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
|
||||
out[3] = fourP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
|
||||
out[4] = fourP2468 + a[4] - b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
|
||||
out[5] = fourP13579 + a[5] - b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
|
||||
out[6] = fourP2468 + a[6] - b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
|
||||
out[7] = fourP13579 + a[7] - b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
|
||||
out[8] = fourP2468 + a[8] - b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
|
||||
out[9] = fourP13579 + a[9] - b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
|
||||
out[0] += 19 * c;
|
||||
}
|
||||
|
||||
/* out = -a */
|
||||
DONNA_INLINE static void
|
||||
curve25519_neg(bignum25519 out, const bignum25519 a) {
|
||||
uint32_t c;
|
||||
out[0] = twoP0 - a[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
|
||||
out[1] = twoP13579 - a[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
|
||||
out[2] = twoP2468 - a[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
|
||||
out[3] = twoP13579 - a[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
|
||||
out[4] = twoP2468 - a[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
|
||||
out[5] = twoP13579 - a[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
|
||||
out[6] = twoP2468 - a[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
|
||||
out[7] = twoP13579 - a[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
|
||||
out[8] = twoP2468 - a[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
|
||||
out[9] = twoP13579 - a[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
|
||||
out[0] += 19 * c;
|
||||
}
|
||||
|
||||
/* out = a * b */
|
||||
#define curve25519_mul_noinline curve25519_mul
|
||||
static void
|
||||
curve25519_mul(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
|
||||
uint32_t s0,s1,s2,s3,s4,s5,s6,s7,s8,s9;
|
||||
uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
|
||||
uint32_t p;
|
||||
|
||||
r0 = b[0];
|
||||
r1 = b[1];
|
||||
r2 = b[2];
|
||||
r3 = b[3];
|
||||
r4 = b[4];
|
||||
r5 = b[5];
|
||||
r6 = b[6];
|
||||
r7 = b[7];
|
||||
r8 = b[8];
|
||||
r9 = b[9];
|
||||
|
||||
s0 = a[0];
|
||||
s1 = a[1];
|
||||
s2 = a[2];
|
||||
s3 = a[3];
|
||||
s4 = a[4];
|
||||
s5 = a[5];
|
||||
s6 = a[6];
|
||||
s7 = a[7];
|
||||
s8 = a[8];
|
||||
s9 = a[9];
|
||||
|
||||
m1 = mul32x32_64(r0, s1) + mul32x32_64(r1, s0);
|
||||
m3 = mul32x32_64(r0, s3) + mul32x32_64(r1, s2) + mul32x32_64(r2, s1) + mul32x32_64(r3, s0);
|
||||
m5 = mul32x32_64(r0, s5) + mul32x32_64(r1, s4) + mul32x32_64(r2, s3) + mul32x32_64(r3, s2) + mul32x32_64(r4, s1) + mul32x32_64(r5, s0);
|
||||
m7 = mul32x32_64(r0, s7) + mul32x32_64(r1, s6) + mul32x32_64(r2, s5) + mul32x32_64(r3, s4) + mul32x32_64(r4, s3) + mul32x32_64(r5, s2) + mul32x32_64(r6, s1) + mul32x32_64(r7, s0);
|
||||
m9 = mul32x32_64(r0, s9) + mul32x32_64(r1, s8) + mul32x32_64(r2, s7) + mul32x32_64(r3, s6) + mul32x32_64(r4, s5) + mul32x32_64(r5, s4) + mul32x32_64(r6, s3) + mul32x32_64(r7, s2) + mul32x32_64(r8, s1) + mul32x32_64(r9, s0);
|
||||
|
||||
r1 *= 2;
|
||||
r3 *= 2;
|
||||
r5 *= 2;
|
||||
r7 *= 2;
|
||||
|
||||
m0 = mul32x32_64(r0, s0);
|
||||
m2 = mul32x32_64(r0, s2) + mul32x32_64(r1, s1) + mul32x32_64(r2, s0);
|
||||
m4 = mul32x32_64(r0, s4) + mul32x32_64(r1, s3) + mul32x32_64(r2, s2) + mul32x32_64(r3, s1) + mul32x32_64(r4, s0);
|
||||
m6 = mul32x32_64(r0, s6) + mul32x32_64(r1, s5) + mul32x32_64(r2, s4) + mul32x32_64(r3, s3) + mul32x32_64(r4, s2) + mul32x32_64(r5, s1) + mul32x32_64(r6, s0);
|
||||
m8 = mul32x32_64(r0, s8) + mul32x32_64(r1, s7) + mul32x32_64(r2, s6) + mul32x32_64(r3, s5) + mul32x32_64(r4, s4) + mul32x32_64(r5, s3) + mul32x32_64(r6, s2) + mul32x32_64(r7, s1) + mul32x32_64(r8, s0);
|
||||
|
||||
r1 *= 19;
|
||||
r2 *= 19;
|
||||
r3 = (r3 / 2) * 19;
|
||||
r4 *= 19;
|
||||
r5 = (r5 / 2) * 19;
|
||||
r6 *= 19;
|
||||
r7 = (r7 / 2) * 19;
|
||||
r8 *= 19;
|
||||
r9 *= 19;
|
||||
|
||||
m1 += (mul32x32_64(r9, s2) + mul32x32_64(r8, s3) + mul32x32_64(r7, s4) + mul32x32_64(r6, s5) + mul32x32_64(r5, s6) + mul32x32_64(r4, s7) + mul32x32_64(r3, s8) + mul32x32_64(r2, s9));
|
||||
m3 += (mul32x32_64(r9, s4) + mul32x32_64(r8, s5) + mul32x32_64(r7, s6) + mul32x32_64(r6, s7) + mul32x32_64(r5, s8) + mul32x32_64(r4, s9));
|
||||
m5 += (mul32x32_64(r9, s6) + mul32x32_64(r8, s7) + mul32x32_64(r7, s8) + mul32x32_64(r6, s9));
|
||||
m7 += (mul32x32_64(r9, s8) + mul32x32_64(r8, s9));
|
||||
|
||||
r3 *= 2;
|
||||
r5 *= 2;
|
||||
r7 *= 2;
|
||||
r9 *= 2;
|
||||
|
||||
m0 += (mul32x32_64(r9, s1) + mul32x32_64(r8, s2) + mul32x32_64(r7, s3) + mul32x32_64(r6, s4) + mul32x32_64(r5, s5) + mul32x32_64(r4, s6) + mul32x32_64(r3, s7) + mul32x32_64(r2, s8) + mul32x32_64(r1, s9));
|
||||
m2 += (mul32x32_64(r9, s3) + mul32x32_64(r8, s4) + mul32x32_64(r7, s5) + mul32x32_64(r6, s6) + mul32x32_64(r5, s7) + mul32x32_64(r4, s8) + mul32x32_64(r3, s9));
|
||||
m4 += (mul32x32_64(r9, s5) + mul32x32_64(r8, s6) + mul32x32_64(r7, s7) + mul32x32_64(r6, s8) + mul32x32_64(r5, s9));
|
||||
m6 += (mul32x32_64(r9, s7) + mul32x32_64(r8, s8) + mul32x32_64(r7, s9));
|
||||
m8 += (mul32x32_64(r9, s9));
|
||||
|
||||
r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
|
||||
m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
|
||||
m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
|
||||
m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
|
||||
m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
|
||||
m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
|
||||
m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
|
||||
m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
|
||||
m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
|
||||
m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
|
||||
m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
|
||||
r1 += p;
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
out[5] = r5;
|
||||
out[6] = r6;
|
||||
out[7] = r7;
|
||||
out[8] = r8;
|
||||
out[9] = r9;
|
||||
}
|
||||
|
||||
/* out = in*in */
|
||||
static void
|
||||
curve25519_square(bignum25519 out, const bignum25519 in) {
|
||||
uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
|
||||
uint32_t d6,d7,d8,d9;
|
||||
uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
|
||||
uint32_t p;
|
||||
|
||||
r0 = in[0];
|
||||
r1 = in[1];
|
||||
r2 = in[2];
|
||||
r3 = in[3];
|
||||
r4 = in[4];
|
||||
r5 = in[5];
|
||||
r6 = in[6];
|
||||
r7 = in[7];
|
||||
r8 = in[8];
|
||||
r9 = in[9];
|
||||
|
||||
m0 = mul32x32_64(r0, r0);
|
||||
r0 *= 2;
|
||||
m1 = mul32x32_64(r0, r1);
|
||||
m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2);
|
||||
r1 *= 2;
|
||||
m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 );
|
||||
m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2);
|
||||
r2 *= 2;
|
||||
m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3);
|
||||
m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2);
|
||||
r3 *= 2;
|
||||
m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 );
|
||||
m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 );
|
||||
m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2);
|
||||
|
||||
d6 = r6 * 19;
|
||||
d7 = r7 * 2 * 19;
|
||||
d8 = r8 * 19;
|
||||
d9 = r9 * 2 * 19;
|
||||
|
||||
m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19));
|
||||
m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2));
|
||||
m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 ));
|
||||
m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 ));
|
||||
m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 ));
|
||||
m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2));
|
||||
m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 ));
|
||||
m7 += (mul32x32_64(d9, r8 ));
|
||||
m8 += (mul32x32_64(d9, r9 ));
|
||||
|
||||
r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
|
||||
m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
|
||||
m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
|
||||
m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
|
||||
m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
|
||||
m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
|
||||
m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
|
||||
m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
|
||||
m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
|
||||
m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
|
||||
m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
|
||||
r1 += p;
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
out[5] = r5;
|
||||
out[6] = r6;
|
||||
out[7] = r7;
|
||||
out[8] = r8;
|
||||
out[9] = r9;
|
||||
}
|
||||
|
||||
|
||||
/* out = in ^ (2 * count) */
|
||||
static void
|
||||
curve25519_square_times(bignum25519 out, const bignum25519 in, int count) {
|
||||
uint32_t r0,r1,r2,r3,r4,r5,r6,r7,r8,r9;
|
||||
uint32_t d6,d7,d8,d9;
|
||||
uint64_t m0,m1,m2,m3,m4,m5,m6,m7,m8,m9,c;
|
||||
uint32_t p;
|
||||
|
||||
r0 = in[0];
|
||||
r1 = in[1];
|
||||
r2 = in[2];
|
||||
r3 = in[3];
|
||||
r4 = in[4];
|
||||
r5 = in[5];
|
||||
r6 = in[6];
|
||||
r7 = in[7];
|
||||
r8 = in[8];
|
||||
r9 = in[9];
|
||||
|
||||
do {
|
||||
m0 = mul32x32_64(r0, r0);
|
||||
r0 *= 2;
|
||||
m1 = mul32x32_64(r0, r1);
|
||||
m2 = mul32x32_64(r0, r2) + mul32x32_64(r1, r1 * 2);
|
||||
r1 *= 2;
|
||||
m3 = mul32x32_64(r0, r3) + mul32x32_64(r1, r2 );
|
||||
m4 = mul32x32_64(r0, r4) + mul32x32_64(r1, r3 * 2) + mul32x32_64(r2, r2);
|
||||
r2 *= 2;
|
||||
m5 = mul32x32_64(r0, r5) + mul32x32_64(r1, r4 ) + mul32x32_64(r2, r3);
|
||||
m6 = mul32x32_64(r0, r6) + mul32x32_64(r1, r5 * 2) + mul32x32_64(r2, r4) + mul32x32_64(r3, r3 * 2);
|
||||
r3 *= 2;
|
||||
m7 = mul32x32_64(r0, r7) + mul32x32_64(r1, r6 ) + mul32x32_64(r2, r5) + mul32x32_64(r3, r4 );
|
||||
m8 = mul32x32_64(r0, r8) + mul32x32_64(r1, r7 * 2) + mul32x32_64(r2, r6) + mul32x32_64(r3, r5 * 2) + mul32x32_64(r4, r4 );
|
||||
m9 = mul32x32_64(r0, r9) + mul32x32_64(r1, r8 ) + mul32x32_64(r2, r7) + mul32x32_64(r3, r6 ) + mul32x32_64(r4, r5 * 2);
|
||||
|
||||
d6 = r6 * 19;
|
||||
d7 = r7 * 2 * 19;
|
||||
d8 = r8 * 19;
|
||||
d9 = r9 * 2 * 19;
|
||||
|
||||
m0 += (mul32x32_64(d9, r1 ) + mul32x32_64(d8, r2 ) + mul32x32_64(d7, r3 ) + mul32x32_64(d6, r4 * 2) + mul32x32_64(r5, r5 * 2 * 19));
|
||||
m1 += (mul32x32_64(d9, r2 / 2) + mul32x32_64(d8, r3 ) + mul32x32_64(d7, r4 ) + mul32x32_64(d6, r5 * 2));
|
||||
m2 += (mul32x32_64(d9, r3 ) + mul32x32_64(d8, r4 * 2) + mul32x32_64(d7, r5 * 2) + mul32x32_64(d6, r6 ));
|
||||
m3 += (mul32x32_64(d9, r4 ) + mul32x32_64(d8, r5 * 2) + mul32x32_64(d7, r6 ));
|
||||
m4 += (mul32x32_64(d9, r5 * 2) + mul32x32_64(d8, r6 * 2) + mul32x32_64(d7, r7 ));
|
||||
m5 += (mul32x32_64(d9, r6 ) + mul32x32_64(d8, r7 * 2));
|
||||
m6 += (mul32x32_64(d9, r7 * 2) + mul32x32_64(d8, r8 ));
|
||||
m7 += (mul32x32_64(d9, r8 ));
|
||||
m8 += (mul32x32_64(d9, r9 ));
|
||||
|
||||
r0 = (uint32_t)m0 & reduce_mask_26; c = (m0 >> 26);
|
||||
m1 += c; r1 = (uint32_t)m1 & reduce_mask_25; c = (m1 >> 25);
|
||||
m2 += c; r2 = (uint32_t)m2 & reduce_mask_26; c = (m2 >> 26);
|
||||
m3 += c; r3 = (uint32_t)m3 & reduce_mask_25; c = (m3 >> 25);
|
||||
m4 += c; r4 = (uint32_t)m4 & reduce_mask_26; c = (m4 >> 26);
|
||||
m5 += c; r5 = (uint32_t)m5 & reduce_mask_25; c = (m5 >> 25);
|
||||
m6 += c; r6 = (uint32_t)m6 & reduce_mask_26; c = (m6 >> 26);
|
||||
m7 += c; r7 = (uint32_t)m7 & reduce_mask_25; c = (m7 >> 25);
|
||||
m8 += c; r8 = (uint32_t)m8 & reduce_mask_26; c = (m8 >> 26);
|
||||
m9 += c; r9 = (uint32_t)m9 & reduce_mask_25; p = (uint32_t)(m9 >> 25);
|
||||
m0 = r0 + mul32x32_64(p,19); r0 = (uint32_t)m0 & reduce_mask_26; p = (uint32_t)(m0 >> 26);
|
||||
r1 += p;
|
||||
} while (--count);
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
out[5] = r5;
|
||||
out[6] = r6;
|
||||
out[7] = r7;
|
||||
out[8] = r8;
|
||||
out[9] = r9;
|
||||
}
|
||||
|
||||
/* Take a little-endian, 32-byte number and expand it into polynomial form */
|
||||
static void
|
||||
curve25519_expand(bignum25519 out, const unsigned char in[32]) {
|
||||
static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}};
|
||||
uint32_t x0,x1,x2,x3,x4,x5,x6,x7;
|
||||
|
||||
if (endian_check.s == 1) {
|
||||
x0 = *(uint32_t *)(in + 0);
|
||||
x1 = *(uint32_t *)(in + 4);
|
||||
x2 = *(uint32_t *)(in + 8);
|
||||
x3 = *(uint32_t *)(in + 12);
|
||||
x4 = *(uint32_t *)(in + 16);
|
||||
x5 = *(uint32_t *)(in + 20);
|
||||
x6 = *(uint32_t *)(in + 24);
|
||||
x7 = *(uint32_t *)(in + 28);
|
||||
} else {
|
||||
#define F(s) \
|
||||
((((uint32_t)in[s + 0]) ) | \
|
||||
(((uint32_t)in[s + 1]) << 8) | \
|
||||
(((uint32_t)in[s + 2]) << 16) | \
|
||||
(((uint32_t)in[s + 3]) << 24))
|
||||
x0 = F(0);
|
||||
x1 = F(4);
|
||||
x2 = F(8);
|
||||
x3 = F(12);
|
||||
x4 = F(16);
|
||||
x5 = F(20);
|
||||
x6 = F(24);
|
||||
x7 = F(28);
|
||||
#undef F
|
||||
}
|
||||
|
||||
out[0] = ( x0 ) & 0x3ffffff;
|
||||
out[1] = ((((uint64_t)x1 << 32) | x0) >> 26) & 0x1ffffff;
|
||||
out[2] = ((((uint64_t)x2 << 32) | x1) >> 19) & 0x3ffffff;
|
||||
out[3] = ((((uint64_t)x3 << 32) | x2) >> 13) & 0x1ffffff;
|
||||
out[4] = (( x3) >> 6) & 0x3ffffff;
|
||||
out[5] = ( x4 ) & 0x1ffffff;
|
||||
out[6] = ((((uint64_t)x5 << 32) | x4) >> 25) & 0x3ffffff;
|
||||
out[7] = ((((uint64_t)x6 << 32) | x5) >> 19) & 0x1ffffff;
|
||||
out[8] = ((((uint64_t)x7 << 32) | x6) >> 12) & 0x3ffffff;
|
||||
out[9] = (( x7) >> 6) & 0x1ffffff;
|
||||
}
|
||||
|
||||
/* Take a fully reduced polynomial form number and contract it into a
|
||||
* little-endian, 32-byte array
|
||||
*/
|
||||
static void
|
||||
curve25519_contract(unsigned char out[32], const bignum25519 in) {
|
||||
bignum25519 f;
|
||||
curve25519_copy(f, in);
|
||||
|
||||
#define carry_pass() \
|
||||
f[1] += f[0] >> 26; f[0] &= reduce_mask_26; \
|
||||
f[2] += f[1] >> 25; f[1] &= reduce_mask_25; \
|
||||
f[3] += f[2] >> 26; f[2] &= reduce_mask_26; \
|
||||
f[4] += f[3] >> 25; f[3] &= reduce_mask_25; \
|
||||
f[5] += f[4] >> 26; f[4] &= reduce_mask_26; \
|
||||
f[6] += f[5] >> 25; f[5] &= reduce_mask_25; \
|
||||
f[7] += f[6] >> 26; f[6] &= reduce_mask_26; \
|
||||
f[8] += f[7] >> 25; f[7] &= reduce_mask_25; \
|
||||
f[9] += f[8] >> 26; f[8] &= reduce_mask_26;
|
||||
|
||||
#define carry_pass_full() \
|
||||
carry_pass() \
|
||||
f[0] += 19 * (f[9] >> 25); f[9] &= reduce_mask_25;
|
||||
|
||||
#define carry_pass_final() \
|
||||
carry_pass() \
|
||||
f[9] &= reduce_mask_25;
|
||||
|
||||
carry_pass_full()
|
||||
carry_pass_full()
|
||||
|
||||
/* now t is between 0 and 2^255-1, properly carried. */
|
||||
/* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */
|
||||
f[0] += 19;
|
||||
carry_pass_full()
|
||||
|
||||
/* now between 19 and 2^255-1 in both cases, and offset by 19. */
|
||||
f[0] += (reduce_mask_26 + 1) - 19;
|
||||
f[1] += (reduce_mask_25 + 1) - 1;
|
||||
f[2] += (reduce_mask_26 + 1) - 1;
|
||||
f[3] += (reduce_mask_25 + 1) - 1;
|
||||
f[4] += (reduce_mask_26 + 1) - 1;
|
||||
f[5] += (reduce_mask_25 + 1) - 1;
|
||||
f[6] += (reduce_mask_26 + 1) - 1;
|
||||
f[7] += (reduce_mask_25 + 1) - 1;
|
||||
f[8] += (reduce_mask_26 + 1) - 1;
|
||||
f[9] += (reduce_mask_25 + 1) - 1;
|
||||
|
||||
/* now between 2^255 and 2^256-20, and offset by 2^255. */
|
||||
carry_pass_final()
|
||||
|
||||
#undef carry_pass
|
||||
#undef carry_full
|
||||
#undef carry_final
|
||||
|
||||
f[1] <<= 2;
|
||||
f[2] <<= 3;
|
||||
f[3] <<= 5;
|
||||
f[4] <<= 6;
|
||||
f[6] <<= 1;
|
||||
f[7] <<= 3;
|
||||
f[8] <<= 4;
|
||||
f[9] <<= 6;
|
||||
|
||||
#define F(i, s) \
|
||||
out[s+0] |= (unsigned char )(f[i] & 0xff); \
|
||||
out[s+1] = (unsigned char )((f[i] >> 8) & 0xff); \
|
||||
out[s+2] = (unsigned char )((f[i] >> 16) & 0xff); \
|
||||
out[s+3] = (unsigned char )((f[i] >> 24) & 0xff);
|
||||
|
||||
out[0] = 0;
|
||||
out[16] = 0;
|
||||
F(0,0);
|
||||
F(1,3);
|
||||
F(2,6);
|
||||
F(3,9);
|
||||
F(4,12);
|
||||
F(5,16);
|
||||
F(6,19);
|
||||
F(7,22);
|
||||
F(8,25);
|
||||
F(9,28);
|
||||
#undef F
|
||||
}
|
||||
|
||||
|
||||
/* out = (flag) ? in : out */
|
||||
DONNA_INLINE static void
|
||||
curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint32_t flag) {
|
||||
const uint32_t nb = flag - 1, b = ~nb;
|
||||
const uint32_t *inl = (const uint32_t *)in;
|
||||
uint32_t *outl = (uint32_t *)out;
|
||||
outl[0] = (outl[0] & nb) | (inl[0] & b);
|
||||
outl[1] = (outl[1] & nb) | (inl[1] & b);
|
||||
outl[2] = (outl[2] & nb) | (inl[2] & b);
|
||||
outl[3] = (outl[3] & nb) | (inl[3] & b);
|
||||
outl[4] = (outl[4] & nb) | (inl[4] & b);
|
||||
outl[5] = (outl[5] & nb) | (inl[5] & b);
|
||||
outl[6] = (outl[6] & nb) | (inl[6] & b);
|
||||
outl[7] = (outl[7] & nb) | (inl[7] & b);
|
||||
outl[8] = (outl[8] & nb) | (inl[8] & b);
|
||||
outl[9] = (outl[9] & nb) | (inl[9] & b);
|
||||
outl[10] = (outl[10] & nb) | (inl[10] & b);
|
||||
outl[11] = (outl[11] & nb) | (inl[11] & b);
|
||||
outl[12] = (outl[12] & nb) | (inl[12] & b);
|
||||
outl[13] = (outl[13] & nb) | (inl[13] & b);
|
||||
outl[14] = (outl[14] & nb) | (inl[14] & b);
|
||||
outl[15] = (outl[15] & nb) | (inl[15] & b);
|
||||
outl[16] = (outl[16] & nb) | (inl[16] & b);
|
||||
outl[17] = (outl[17] & nb) | (inl[17] & b);
|
||||
outl[18] = (outl[18] & nb) | (inl[18] & b);
|
||||
outl[19] = (outl[19] & nb) | (inl[19] & b);
|
||||
outl[20] = (outl[20] & nb) | (inl[20] & b);
|
||||
outl[21] = (outl[21] & nb) | (inl[21] & b);
|
||||
outl[22] = (outl[22] & nb) | (inl[22] & b);
|
||||
outl[23] = (outl[23] & nb) | (inl[23] & b);
|
||||
|
||||
}
|
||||
|
||||
/* if (iswap) swap(a, b) */
|
||||
DONNA_INLINE static void
|
||||
curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint32_t iswap) {
|
||||
const uint32_t swap = (uint32_t)(-(int32_t)iswap);
|
||||
uint32_t x0,x1,x2,x3,x4,x5,x6,x7,x8,x9;
|
||||
|
||||
x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0;
|
||||
x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1;
|
||||
x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2;
|
||||
x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3;
|
||||
x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4;
|
||||
x5 = swap & (a[5] ^ b[5]); a[5] ^= x5; b[5] ^= x5;
|
||||
x6 = swap & (a[6] ^ b[6]); a[6] ^= x6; b[6] ^= x6;
|
||||
x7 = swap & (a[7] ^ b[7]); a[7] ^= x7; b[7] ^= x7;
|
||||
x8 = swap & (a[8] ^ b[8]); a[8] ^= x8; b[8] ^= x8;
|
||||
x9 = swap & (a[9] ^ b[9]); a[9] ^= x9; b[9] ^= x9;
|
||||
}
|
||||
@ -0,0 +1,413 @@
|
||||
/*
|
||||
Public domain by Adam Langley <agl@imperialviolet.org> &
|
||||
Andrew M. <liquidsun@gmail.com>
|
||||
See: https://github.com/floodyberry/curve25519-donna
|
||||
|
||||
64bit integer curve25519 implementation
|
||||
*/
|
||||
|
||||
typedef uint64_t bignum25519[5];
|
||||
|
||||
static const uint64_t reduce_mask_40 = ((uint64_t)1 << 40) - 1;
|
||||
static const uint64_t reduce_mask_51 = ((uint64_t)1 << 51) - 1;
|
||||
static const uint64_t reduce_mask_56 = ((uint64_t)1 << 56) - 1;
|
||||
|
||||
/* out = in */
|
||||
DONNA_INLINE static void
|
||||
curve25519_copy(bignum25519 out, const bignum25519 in) {
|
||||
out[0] = in[0];
|
||||
out[1] = in[1];
|
||||
out[2] = in[2];
|
||||
out[3] = in[3];
|
||||
out[4] = in[4];
|
||||
}
|
||||
|
||||
/* out = a + b */
|
||||
DONNA_INLINE static void
|
||||
curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
out[0] = a[0] + b[0];
|
||||
out[1] = a[1] + b[1];
|
||||
out[2] = a[2] + b[2];
|
||||
out[3] = a[3] + b[3];
|
||||
out[4] = a[4] + b[4];
|
||||
}
|
||||
|
||||
/* out = a + b, where a and/or b are the result of a basic op (add,sub) */
|
||||
DONNA_INLINE static void
|
||||
curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
out[0] = a[0] + b[0];
|
||||
out[1] = a[1] + b[1];
|
||||
out[2] = a[2] + b[2];
|
||||
out[3] = a[3] + b[3];
|
||||
out[4] = a[4] + b[4];
|
||||
}
|
||||
|
||||
DONNA_INLINE static void
|
||||
curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
uint64_t c;
|
||||
out[0] = a[0] + b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
|
||||
out[1] = a[1] + b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
|
||||
out[2] = a[2] + b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
|
||||
out[3] = a[3] + b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
|
||||
out[4] = a[4] + b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
|
||||
out[0] += c * 19;
|
||||
}
|
||||
|
||||
/* multiples of p */
|
||||
static const uint64_t twoP0 = 0x0fffffffffffda;
|
||||
static const uint64_t twoP1234 = 0x0ffffffffffffe;
|
||||
static const uint64_t fourP0 = 0x1fffffffffffb4;
|
||||
static const uint64_t fourP1234 = 0x1ffffffffffffc;
|
||||
|
||||
/* out = a - b */
|
||||
DONNA_INLINE static void
|
||||
curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
out[0] = a[0] + twoP0 - b[0];
|
||||
out[1] = a[1] + twoP1234 - b[1];
|
||||
out[2] = a[2] + twoP1234 - b[2];
|
||||
out[3] = a[3] + twoP1234 - b[3];
|
||||
out[4] = a[4] + twoP1234 - b[4];
|
||||
}
|
||||
|
||||
/* out = a - b, where a and/or b are the result of a basic op (add,sub) */
|
||||
DONNA_INLINE static void
|
||||
curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
out[0] = a[0] + fourP0 - b[0];
|
||||
out[1] = a[1] + fourP1234 - b[1];
|
||||
out[2] = a[2] + fourP1234 - b[2];
|
||||
out[3] = a[3] + fourP1234 - b[3];
|
||||
out[4] = a[4] + fourP1234 - b[4];
|
||||
}
|
||||
|
||||
DONNA_INLINE static void
|
||||
curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
|
||||
uint64_t c;
|
||||
out[0] = a[0] + fourP0 - b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
|
||||
out[1] = a[1] + fourP1234 - b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
|
||||
out[2] = a[2] + fourP1234 - b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
|
||||
out[3] = a[3] + fourP1234 - b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
|
||||
out[4] = a[4] + fourP1234 - b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
|
||||
out[0] += c * 19;
|
||||
}
|
||||
|
||||
/* out = -a */
|
||||
DONNA_INLINE static void
|
||||
curve25519_neg(bignum25519 out, const bignum25519 a) {
|
||||
uint64_t c;
|
||||
out[0] = twoP0 - a[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
|
||||
out[1] = twoP1234 - a[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
|
||||
out[2] = twoP1234 - a[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
|
||||
out[3] = twoP1234 - a[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
|
||||
out[4] = twoP1234 - a[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
|
||||
out[0] += c * 19;
|
||||
}
|
||||
|
||||
/* out = a * b */
|
||||
DONNA_INLINE static void
|
||||
curve25519_mul(bignum25519 out, const bignum25519 in2, const bignum25519 in) {
|
||||
#if !defined(HAVE_NATIVE_UINT128)
|
||||
uint128_t mul;
|
||||
#endif
|
||||
uint128_t t[5];
|
||||
uint64_t r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c;
|
||||
|
||||
r0 = in[0];
|
||||
r1 = in[1];
|
||||
r2 = in[2];
|
||||
r3 = in[3];
|
||||
r4 = in[4];
|
||||
|
||||
s0 = in2[0];
|
||||
s1 = in2[1];
|
||||
s2 = in2[2];
|
||||
s3 = in2[3];
|
||||
s4 = in2[4];
|
||||
|
||||
#if defined(HAVE_NATIVE_UINT128)
|
||||
t[0] = ((uint128_t) r0) * s0;
|
||||
t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0;
|
||||
t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1;
|
||||
t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1;
|
||||
t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2;
|
||||
#else
|
||||
mul64x64_128(t[0], r0, s0)
|
||||
mul64x64_128(t[1], r0, s1) mul64x64_128(mul, r1, s0) add128(t[1], mul)
|
||||
mul64x64_128(t[2], r0, s2) mul64x64_128(mul, r2, s0) add128(t[2], mul) mul64x64_128(mul, r1, s1) add128(t[2], mul)
|
||||
mul64x64_128(t[3], r0, s3) mul64x64_128(mul, r3, s0) add128(t[3], mul) mul64x64_128(mul, r1, s2) add128(t[3], mul) mul64x64_128(mul, r2, s1) add128(t[3], mul)
|
||||
mul64x64_128(t[4], r0, s4) mul64x64_128(mul, r4, s0) add128(t[4], mul) mul64x64_128(mul, r3, s1) add128(t[4], mul) mul64x64_128(mul, r1, s3) add128(t[4], mul) mul64x64_128(mul, r2, s2) add128(t[4], mul)
|
||||
#endif
|
||||
|
||||
r1 *= 19;
|
||||
r2 *= 19;
|
||||
r3 *= 19;
|
||||
r4 *= 19;
|
||||
|
||||
#if defined(HAVE_NATIVE_UINT128)
|
||||
t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2;
|
||||
t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3;
|
||||
t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4;
|
||||
t[3] += ((uint128_t) r4) * s4;
|
||||
#else
|
||||
mul64x64_128(mul, r4, s1) add128(t[0], mul) mul64x64_128(mul, r1, s4) add128(t[0], mul) mul64x64_128(mul, r2, s3) add128(t[0], mul) mul64x64_128(mul, r3, s2) add128(t[0], mul)
|
||||
mul64x64_128(mul, r4, s2) add128(t[1], mul) mul64x64_128(mul, r2, s4) add128(t[1], mul) mul64x64_128(mul, r3, s3) add128(t[1], mul)
|
||||
mul64x64_128(mul, r4, s3) add128(t[2], mul) mul64x64_128(mul, r3, s4) add128(t[2], mul)
|
||||
mul64x64_128(mul, r4, s4) add128(t[3], mul)
|
||||
#endif
|
||||
|
||||
|
||||
r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51);
|
||||
add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51);
|
||||
add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51);
|
||||
add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51);
|
||||
add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51);
|
||||
r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51;
|
||||
r1 += c;
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
}
|
||||
|
||||
DONNA_NOINLINE static void
|
||||
curve25519_mul_noinline(bignum25519 out, const bignum25519 in2, const bignum25519 in) {
|
||||
curve25519_mul(out, in2, in);
|
||||
}
|
||||
|
||||
/* out = in^(2 * count) */
|
||||
DONNA_NOINLINE static void
|
||||
curve25519_square_times(bignum25519 out, const bignum25519 in, uint64_t count) {
|
||||
#if !defined(HAVE_NATIVE_UINT128)
|
||||
uint128_t mul;
|
||||
#endif
|
||||
uint128_t t[5];
|
||||
uint64_t r0,r1,r2,r3,r4,c;
|
||||
uint64_t d0,d1,d2,d4,d419;
|
||||
|
||||
r0 = in[0];
|
||||
r1 = in[1];
|
||||
r2 = in[2];
|
||||
r3 = in[3];
|
||||
r4 = in[4];
|
||||
|
||||
do {
|
||||
d0 = r0 * 2;
|
||||
d1 = r1 * 2;
|
||||
d2 = r2 * 2 * 19;
|
||||
d419 = r4 * 19;
|
||||
d4 = d419 * 2;
|
||||
|
||||
#if defined(HAVE_NATIVE_UINT128)
|
||||
t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 ));
|
||||
t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19));
|
||||
t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 ));
|
||||
t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 ));
|
||||
t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 ));
|
||||
#else
|
||||
mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul)
|
||||
mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul)
|
||||
mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul)
|
||||
mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul)
|
||||
mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul)
|
||||
#endif
|
||||
|
||||
r0 = lo128(t[0]) & reduce_mask_51;
|
||||
r1 = lo128(t[1]) & reduce_mask_51; shl128(c, t[0], 13); r1 += c;
|
||||
r2 = lo128(t[2]) & reduce_mask_51; shl128(c, t[1], 13); r2 += c;
|
||||
r3 = lo128(t[3]) & reduce_mask_51; shl128(c, t[2], 13); r3 += c;
|
||||
r4 = lo128(t[4]) & reduce_mask_51; shl128(c, t[3], 13); r4 += c;
|
||||
shl128(c, t[4], 13); r0 += c * 19;
|
||||
c = r0 >> 51; r0 &= reduce_mask_51;
|
||||
r1 += c ; c = r1 >> 51; r1 &= reduce_mask_51;
|
||||
r2 += c ; c = r2 >> 51; r2 &= reduce_mask_51;
|
||||
r3 += c ; c = r3 >> 51; r3 &= reduce_mask_51;
|
||||
r4 += c ; c = r4 >> 51; r4 &= reduce_mask_51;
|
||||
r0 += c * 19;
|
||||
} while(--count);
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
}
|
||||
|
||||
DONNA_INLINE static void
|
||||
curve25519_square(bignum25519 out, const bignum25519 in) {
|
||||
#if !defined(HAVE_NATIVE_UINT128)
|
||||
uint128_t mul;
|
||||
#endif
|
||||
uint128_t t[5];
|
||||
uint64_t r0,r1,r2,r3,r4,c;
|
||||
uint64_t d0,d1,d2,d4,d419;
|
||||
|
||||
r0 = in[0];
|
||||
r1 = in[1];
|
||||
r2 = in[2];
|
||||
r3 = in[3];
|
||||
r4 = in[4];
|
||||
|
||||
d0 = r0 * 2;
|
||||
d1 = r1 * 2;
|
||||
d2 = r2 * 2 * 19;
|
||||
d419 = r4 * 19;
|
||||
d4 = d419 * 2;
|
||||
|
||||
#if defined(HAVE_NATIVE_UINT128)
|
||||
t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 ));
|
||||
t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19));
|
||||
t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 ));
|
||||
t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 ));
|
||||
t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 ));
|
||||
#else
|
||||
mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul)
|
||||
mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul)
|
||||
mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul)
|
||||
mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul)
|
||||
mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul)
|
||||
#endif
|
||||
|
||||
r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51);
|
||||
add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51);
|
||||
add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51);
|
||||
add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51);
|
||||
add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51);
|
||||
r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51;
|
||||
r1 += c;
|
||||
|
||||
out[0] = r0;
|
||||
out[1] = r1;
|
||||
out[2] = r2;
|
||||
out[3] = r3;
|
||||
out[4] = r4;
|
||||
}
|
||||
|
||||
/* Take a little-endian, 32-byte number and expand it into polynomial form */
|
||||
DONNA_INLINE static void
|
||||
curve25519_expand(bignum25519 out, const unsigned char *in) {
|
||||
static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}};
|
||||
uint64_t x0,x1,x2,x3;
|
||||
|
||||
if (endian_check.s == 1) {
|
||||
x0 = *(uint64_t *)(in + 0);
|
||||
x1 = *(uint64_t *)(in + 8);
|
||||
x2 = *(uint64_t *)(in + 16);
|
||||
x3 = *(uint64_t *)(in + 24);
|
||||
} else {
|
||||
#define F(s) \
|
||||
((((uint64_t)in[s + 0]) ) | \
|
||||
(((uint64_t)in[s + 1]) << 8) | \
|
||||
(((uint64_t)in[s + 2]) << 16) | \
|
||||
(((uint64_t)in[s + 3]) << 24) | \
|
||||
(((uint64_t)in[s + 4]) << 32) | \
|
||||
(((uint64_t)in[s + 5]) << 40) | \
|
||||
(((uint64_t)in[s + 6]) << 48) | \
|
||||
(((uint64_t)in[s + 7]) << 56))
|
||||
|
||||
x0 = F(0);
|
||||
x1 = F(8);
|
||||
x2 = F(16);
|
||||
x3 = F(24);
|
||||
}
|
||||
|
||||
out[0] = x0 & reduce_mask_51; x0 = (x0 >> 51) | (x1 << 13);
|
||||
out[1] = x0 & reduce_mask_51; x1 = (x1 >> 38) | (x2 << 26);
|
||||
out[2] = x1 & reduce_mask_51; x2 = (x2 >> 25) | (x3 << 39);
|
||||
out[3] = x2 & reduce_mask_51; x3 = (x3 >> 12);
|
||||
out[4] = x3 & reduce_mask_51;
|
||||
}
|
||||
|
||||
/* Take a fully reduced polynomial form number and contract it into a
|
||||
* little-endian, 32-byte array
|
||||
*/
|
||||
DONNA_INLINE static void
|
||||
curve25519_contract(unsigned char *out, const bignum25519 input) {
|
||||
uint64_t t[5];
|
||||
uint64_t f, i;
|
||||
|
||||
t[0] = input[0];
|
||||
t[1] = input[1];
|
||||
t[2] = input[2];
|
||||
t[3] = input[3];
|
||||
t[4] = input[4];
|
||||
|
||||
#define curve25519_contract_carry() \
|
||||
t[1] += t[0] >> 51; t[0] &= reduce_mask_51; \
|
||||
t[2] += t[1] >> 51; t[1] &= reduce_mask_51; \
|
||||
t[3] += t[2] >> 51; t[2] &= reduce_mask_51; \
|
||||
t[4] += t[3] >> 51; t[3] &= reduce_mask_51;
|
||||
|
||||
#define curve25519_contract_carry_full() curve25519_contract_carry() \
|
||||
t[0] += 19 * (t[4] >> 51); t[4] &= reduce_mask_51;
|
||||
|
||||
#define curve25519_contract_carry_final() curve25519_contract_carry() \
|
||||
t[4] &= reduce_mask_51;
|
||||
|
||||
curve25519_contract_carry_full()
|
||||
curve25519_contract_carry_full()
|
||||
|
||||
/* now t is between 0 and 2^255-1, properly carried. */
|
||||
/* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */
|
||||
t[0] += 19;
|
||||
curve25519_contract_carry_full()
|
||||
|
||||
/* now between 19 and 2^255-1 in both cases, and offset by 19. */
|
||||
t[0] += (reduce_mask_51 + 1) - 19;
|
||||
t[1] += (reduce_mask_51 + 1) - 1;
|
||||
t[2] += (reduce_mask_51 + 1) - 1;
|
||||
t[3] += (reduce_mask_51 + 1) - 1;
|
||||
t[4] += (reduce_mask_51 + 1) - 1;
|
||||
|
||||
/* now between 2^255 and 2^256-20, and offset by 2^255. */
|
||||
curve25519_contract_carry_final()
|
||||
|
||||
#define write51full(n,shift) \
|
||||
f = ((t[n] >> shift) | (t[n+1] << (51 - shift))); \
|
||||
for (i = 0; i < 8; i++, f >>= 8) *out++ = (unsigned char)f;
|
||||
#define write51(n) write51full(n,13*n)
|
||||
write51(0)
|
||||
write51(1)
|
||||
write51(2)
|
||||
write51(3)
|
||||
}
|
||||
|
||||
#if !defined(ED25519_GCC_64BIT_CHOOSE)
|
||||
|
||||
/* out = (flag) ? in : out */
|
||||
DONNA_INLINE static void
|
||||
curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint64_t flag) {
|
||||
const uint64_t nb = flag - 1, b = ~nb;
|
||||
const uint64_t *inq = (const uint64_t *)in;
|
||||
uint64_t *outq = (uint64_t *)out;
|
||||
outq[0] = (outq[0] & nb) | (inq[0] & b);
|
||||
outq[1] = (outq[1] & nb) | (inq[1] & b);
|
||||
outq[2] = (outq[2] & nb) | (inq[2] & b);
|
||||
outq[3] = (outq[3] & nb) | (inq[3] & b);
|
||||
outq[4] = (outq[4] & nb) | (inq[4] & b);
|
||||
outq[5] = (outq[5] & nb) | (inq[5] & b);
|
||||
outq[6] = (outq[6] & nb) | (inq[6] & b);
|
||||
outq[7] = (outq[7] & nb) | (inq[7] & b);
|
||||
outq[8] = (outq[8] & nb) | (inq[8] & b);
|
||||
outq[9] = (outq[9] & nb) | (inq[9] & b);
|
||||
outq[10] = (outq[10] & nb) | (inq[10] & b);
|
||||
outq[11] = (outq[11] & nb) | (inq[11] & b);
|
||||
}
|
||||
|
||||
/* if (iswap) swap(a, b) */
|
||||
DONNA_INLINE static void
|
||||
curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint64_t iswap) {
|
||||
const uint64_t swap = (uint64_t)(-(int64_t)iswap);
|
||||
uint64_t x0,x1,x2,x3,x4;
|
||||
|
||||
x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0;
|
||||
x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1;
|
||||
x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2;
|
||||
x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3;
|
||||
x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4;
|
||||
}
|
||||
|
||||
#endif /* ED25519_GCC_64BIT_CHOOSE */
|
||||
|
||||
#define ED25519_64BIT_TABLES
|
||||
|
||||
@ -0,0 +1,67 @@
|
||||
/*
|
||||
Public domain by Andrew M. <liquidsun@gmail.com>
|
||||
See: https://github.com/floodyberry/curve25519-donna
|
||||
|
||||
Curve25519 implementation agnostic helpers
|
||||
*/
|
||||
|
||||
/*
|
||||
* In: b = 2^5 - 2^0
|
||||
* Out: b = 2^250 - 2^0
|
||||
*/
|
||||
static void
|
||||
curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) {
|
||||
bignum25519 ALIGN(16) t0,c;
|
||||
|
||||
/* 2^5 - 2^0 */ /* b */
|
||||
/* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5);
|
||||
/* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b);
|
||||
/* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10);
|
||||
/* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b);
|
||||
/* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20);
|
||||
/* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
|
||||
/* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10);
|
||||
/* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b);
|
||||
/* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50);
|
||||
/* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b);
|
||||
/* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100);
|
||||
/* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
|
||||
/* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50);
|
||||
/* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b);
|
||||
}
|
||||
|
||||
/*
|
||||
* z^(p - 2) = z(2^255 - 21)
|
||||
*/
|
||||
static void
|
||||
curve25519_recip(bignum25519 out, const bignum25519 z) {
|
||||
bignum25519 ALIGN(16) a,t0,b;
|
||||
|
||||
/* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */
|
||||
/* 8 */ curve25519_square_times(t0, a, 2);
|
||||
/* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
|
||||
/* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */
|
||||
/* 22 */ curve25519_square_times(t0, a, 1);
|
||||
/* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
|
||||
/* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
|
||||
/* 2^255 - 2^5 */ curve25519_square_times(b, b, 5);
|
||||
/* 2^255 - 21 */ curve25519_mul_noinline(out, b, a);
|
||||
}
|
||||
|
||||
/*
|
||||
* z^((p-5)/8) = z^(2^252 - 3)
|
||||
*/
|
||||
static void
|
||||
curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) {
|
||||
bignum25519 ALIGN(16) b,c,t0;
|
||||
|
||||
/* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */
|
||||
/* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */
|
||||
/* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
|
||||
/* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */
|
||||
/* 22 */ curve25519_square_times(t0, c, 1);
|
||||
/* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
|
||||
/* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
|
||||
/* 2^252 - 2^2 */ curve25519_square_times(b, b, 2);
|
||||
/* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z);
|
||||
}
|
||||
File diff suppressed because it is too large
Load Diff
@ -0,0 +1,513 @@
|
||||
#if defined(ED25519_GCC_32BIT_SSE_CHOOSE)
|
||||
|
||||
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
|
||||
|
||||
DONNA_NOINLINE static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
int32_t breg = (int32_t)b;
|
||||
uint32_t sign = (uint32_t)breg >> 31;
|
||||
uint32_t mask = ~(sign - 1);
|
||||
uint32_t u = (breg + mask) ^ mask;
|
||||
|
||||
__asm__ __volatile__ (
|
||||
/* ysubx+xaddy */
|
||||
"movl %0, %%eax ;\n"
|
||||
"movd %%eax, %%xmm6 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
"pxor %%xmm2, %%xmm2 ;\n"
|
||||
"pxor %%xmm3, %%xmm3 ;\n"
|
||||
|
||||
/* 0 */
|
||||
"movl $0, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movl $1, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm4 ;\n"
|
||||
"pxor %%xmm5, %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 1 */
|
||||
"movl $1, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 0(%1), %%xmm4 ;\n"
|
||||
"movdqa 16(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 32(%1), %%xmm4 ;\n"
|
||||
"movdqa 48(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 2 */
|
||||
"movl $2, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 96(%1), %%xmm4 ;\n"
|
||||
"movdqa 112(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 128(%1), %%xmm4 ;\n"
|
||||
"movdqa 144(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 3 */
|
||||
"movl $3, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 192(%1), %%xmm4 ;\n"
|
||||
"movdqa 208(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 224(%1), %%xmm4 ;\n"
|
||||
"movdqa 240(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 4 */
|
||||
"movl $4, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 288(%1), %%xmm4 ;\n"
|
||||
"movdqa 304(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 320(%1), %%xmm4 ;\n"
|
||||
"movdqa 336(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 5 */
|
||||
"movl $5, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 384(%1), %%xmm4 ;\n"
|
||||
"movdqa 400(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 416(%1), %%xmm4 ;\n"
|
||||
"movdqa 432(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 6 */
|
||||
"movl $6, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 480(%1), %%xmm4 ;\n"
|
||||
"movdqa 496(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 512(%1), %%xmm4 ;\n"
|
||||
"movdqa 528(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 7 */
|
||||
"movl $7, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 576(%1), %%xmm4 ;\n"
|
||||
"movdqa 592(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 608(%1), %%xmm4 ;\n"
|
||||
"movdqa 624(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* 8 */
|
||||
"movl $8, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 672(%1), %%xmm4 ;\n"
|
||||
"movdqa 688(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm0 ;\n"
|
||||
"por %%xmm5, %%xmm1 ;\n"
|
||||
"movdqa 704(%1), %%xmm4 ;\n"
|
||||
"movdqa 720(%1), %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"por %%xmm4, %%xmm2 ;\n"
|
||||
"por %%xmm5, %%xmm3 ;\n"
|
||||
|
||||
/* conditional swap based on sign */
|
||||
"movl %3, %%ecx ;\n"
|
||||
"movl %2, %%eax ;\n"
|
||||
"xorl $1, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm6 ;\n"
|
||||
"pxor %%xmm7, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa %%xmm2, %%xmm4 ;\n"
|
||||
"movdqa %%xmm3, %%xmm5 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm5 ;\n"
|
||||
"pxor %%xmm4, %%xmm0 ;\n"
|
||||
"pxor %%xmm5, %%xmm1 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
|
||||
/* store ysubx */
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"movl %%ecx, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 0(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $26, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 4(%%eax) ;\n"
|
||||
"movd %%xmm0, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $19, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 8(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"shrdl $13, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 12(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrl $6, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 16(%%eax) ;\n"
|
||||
"movl %%edx, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 20(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $25, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 24(%%eax) ;\n"
|
||||
"movd %%xmm1, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $19, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 28(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"shrdl $12, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 32(%%eax) ;\n"
|
||||
"shrl $6, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"xorl %%ecx, %%ecx ;\n"
|
||||
"movl %%edx, 36(%%eax) ;\n"
|
||||
"movl %%ecx, 40(%%eax) ;\n"
|
||||
"movl %%ecx, 44(%%eax) ;\n"
|
||||
|
||||
/* store xaddy */
|
||||
"addl $48, %%eax ;\n"
|
||||
"movdqa %%xmm2, %%xmm0 ;\n"
|
||||
"movdqa %%xmm3, %%xmm1 ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"movl %%ecx, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 0(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $26, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 4(%%eax) ;\n"
|
||||
"movd %%xmm0, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $19, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 8(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"shrdl $13, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 12(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrl $6, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 16(%%eax) ;\n"
|
||||
"movl %%edx, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 20(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $25, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 24(%%eax) ;\n"
|
||||
"movd %%xmm1, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $19, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 28(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"shrdl $12, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 32(%%eax) ;\n"
|
||||
"shrl $6, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"xorl %%ecx, %%ecx ;\n"
|
||||
"movl %%edx, 36(%%eax) ;\n"
|
||||
"movl %%ecx, 40(%%eax) ;\n"
|
||||
"movl %%ecx, 44(%%eax) ;\n"
|
||||
|
||||
/* t2d */
|
||||
"movl %0, %%eax ;\n"
|
||||
"movd %%eax, %%xmm6 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
|
||||
/* 0 */
|
||||
"movl $0, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
|
||||
/* 1 */
|
||||
"movl $1, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 64(%1), %%xmm3 ;\n"
|
||||
"movdqa 80(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 2 */
|
||||
"movl $2, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 160(%1), %%xmm3 ;\n"
|
||||
"movdqa 176(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 3 */
|
||||
"movl $3, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 256(%1), %%xmm3 ;\n"
|
||||
"movdqa 272(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 4 */
|
||||
"movl $4, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 352(%1), %%xmm3 ;\n"
|
||||
"movdqa 368(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 5 */
|
||||
"movl $5, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 448(%1), %%xmm3 ;\n"
|
||||
"movdqa 464(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 6 */
|
||||
"movl $6, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 544(%1), %%xmm3 ;\n"
|
||||
"movdqa 560(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 7 */
|
||||
"movl $7, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 640(%1), %%xmm3 ;\n"
|
||||
"movdqa 656(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* 8 */
|
||||
"movl $8, %%eax ;\n"
|
||||
"movd %%eax, %%xmm7 ;\n"
|
||||
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
|
||||
"pcmpeqd %%xmm6, %%xmm7 ;\n"
|
||||
"movdqa 736(%1), %%xmm3 ;\n"
|
||||
"movdqa 752(%1), %%xmm4 ;\n"
|
||||
"pand %%xmm7, %%xmm3 ;\n"
|
||||
"pand %%xmm7, %%xmm4 ;\n"
|
||||
"por %%xmm3, %%xmm0 ;\n"
|
||||
"por %%xmm4, %%xmm1 ;\n"
|
||||
|
||||
/* store t2d */
|
||||
"movl %2, %%eax ;\n"
|
||||
"addl $96, %%eax ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"movl %%ecx, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 0(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $26, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 4(%%eax) ;\n"
|
||||
"movd %%xmm0, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
|
||||
"shrdl $19, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 8(%%eax) ;\n"
|
||||
"movd %%xmm0, %%ecx ;\n"
|
||||
"shrdl $13, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 12(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrl $6, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 16(%%eax) ;\n"
|
||||
"movl %%edx, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 20(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $25, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 24(%%eax) ;\n"
|
||||
"movd %%xmm1, %%ecx ;\n"
|
||||
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
|
||||
"shrdl $19, %%ecx, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"movl %%edx, 28(%%eax) ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"movd %%xmm1, %%edx ;\n"
|
||||
"shrdl $12, %%edx, %%ecx ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"movl %%ecx, 32(%%eax) ;\n"
|
||||
"shrl $6, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%edx ;\n"
|
||||
"xorl %%ecx, %%ecx ;\n"
|
||||
"movl %%edx, 36(%%eax) ;\n"
|
||||
"movl %%ecx, 40(%%eax) ;\n"
|
||||
"movl %%ecx, 44(%%eax) ;\n"
|
||||
"movdqa 0(%%eax), %%xmm0 ;\n"
|
||||
"movdqa 16(%%eax), %%xmm1 ;\n"
|
||||
"movdqa 32(%%eax), %%xmm2 ;\n"
|
||||
|
||||
/* conditionally negate t2d */
|
||||
|
||||
/* set up 2p in to 3/4 */
|
||||
"movl $0x7ffffda, %%ecx ;\n"
|
||||
"movl $0x3fffffe, %%edx ;\n"
|
||||
"movd %%ecx, %%xmm3 ;\n"
|
||||
"movd %%edx, %%xmm5 ;\n"
|
||||
"movl $0x7fffffe, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm4 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm3 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm4 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm3 ;\n"
|
||||
"movdqa %%xmm4, %%xmm5 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm4 ;\n"
|
||||
|
||||
/* subtract and conditionally move */
|
||||
"movl %3, %%ecx ;\n"
|
||||
"sub $1, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm6 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"movdqa %%xmm6, %%xmm7 ;\n"
|
||||
"psubd %%xmm0, %%xmm3 ;\n"
|
||||
"psubd %%xmm1, %%xmm4 ;\n"
|
||||
"psubd %%xmm2, %%xmm5 ;\n"
|
||||
"pand %%xmm6, %%xmm0 ;\n"
|
||||
"pand %%xmm6, %%xmm1 ;\n"
|
||||
"pand %%xmm6, %%xmm2 ;\n"
|
||||
"pandn %%xmm3, %%xmm6 ;\n"
|
||||
"movdqa %%xmm7, %%xmm3 ;\n"
|
||||
"pandn %%xmm4, %%xmm7 ;\n"
|
||||
"pandn %%xmm5, %%xmm3 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm3, %%xmm2 ;\n"
|
||||
|
||||
/* store */
|
||||
"movdqa %%xmm0, 0(%%eax) ;\n"
|
||||
"movdqa %%xmm1, 16(%%eax) ;\n"
|
||||
"movdqa %%xmm2, 32(%%eax) ;\n"
|
||||
:
|
||||
: "m"(u), "r"(&table[pos * 8]), "m"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
|
||||
: "%eax", "%ecx", "%edx", "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif /* defined(ED25519_GCC_32BIT_SSE_CHOOSE) */
|
||||
|
||||
@ -0,0 +1,61 @@
|
||||
static const ge25519 ALIGN(16) ge25519_basepoint = {
|
||||
{0x0325d51a,0x018b5823,0x00f6592a,0x0104a92d,0x01a4b31d,0x01d6dc5c,0x027118fe,0x007fd814,0x013cd6e5,0x0085a4db},
|
||||
{0x02666658,0x01999999,0x00cccccc,0x01333333,0x01999999,0x00666666,0x03333333,0x00cccccc,0x02666666,0x01999999},
|
||||
{0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000},
|
||||
{0x01b7dda3,0x01a2ace9,0x025eadbb,0x0003ba8a,0x0083c27e,0x00abe37d,0x01274732,0x00ccacdd,0x00fd78b7,0x019e1d7c}
|
||||
};
|
||||
|
||||
/*
|
||||
d
|
||||
*/
|
||||
|
||||
static const bignum25519 ALIGN(16) ge25519_ecd = {
|
||||
0x035978a3,0x00d37284,0x03156ebd,0x006a0a0e,0x0001c029,0x0179e898,0x03a03cbb,0x01ce7198,0x02e2b6ff,0x01480db3
|
||||
};
|
||||
|
||||
static const bignum25519 ALIGN(16) ge25519_ec2d = {
|
||||
0x02b2f159,0x01a6e509,0x022add7a,0x00d4141d,0x00038052,0x00f3d130,0x03407977,0x019ce331,0x01c56dff,0x00901b67
|
||||
};
|
||||
|
||||
/*
|
||||
sqrt(-1)
|
||||
*/
|
||||
|
||||
static const bignum25519 ALIGN(16) ge25519_sqrtneg1 = {
|
||||
0x020ea0b0,0x0186c9d2,0x008f189d,0x0035697f,0x00bd0c60,0x01fbd7a7,0x02804c9e,0x01e16569,0x0004fc1d,0x00ae0c92
|
||||
};
|
||||
|
||||
static const ge25519_niels ALIGN(16) ge25519_niels_sliding_multiples[32] = {
|
||||
{{0x0340913e,0x000e4175,0x03d673a2,0x002e8a05,0x03f4e67c,0x008f8a09,0x00c21a34,0x004cf4b8,0x01298f81,0x0113f4be},{0x018c3b85,0x0124f1bd,0x01c325f7,0x0037dc60,0x033e4cb7,0x003d42c2,0x01a44c32,0x014ca4e1,0x03a33d4b,0x001f3e74},{0x037aaa68,0x00448161,0x0093d579,0x011e6556,0x009b67a0,0x0143598c,0x01bee5ee,0x00b50b43,0x0289f0c6,0x01bc45ed}},
|
||||
{{0x00fcd265,0x0047fa29,0x034faacc,0x01ef2e0d,0x00ef4d4f,0x014bd6bd,0x00f98d10,0x014c5026,0x007555bd,0x00aae456},{0x00ee9730,0x016c2a13,0x017155e4,0x01874432,0x00096a10,0x01016732,0x01a8014f,0x011e9823,0x01b9a80f,0x01e85938},{0x01d0d889,0x01a4cfc3,0x034c4295,0x0110e1ae,0x0162508c,0x00f2db4c,0x0072a2c6,0x0098da2e,0x02f12b9b,0x0168a09a}},
|
||||
{{0x0047d6ba,0x0060b0e9,0x0136eff2,0x008a5939,0x03540053,0x0064a087,0x02788e5c,0x00be7c67,0x033eb1b5,0x005529f9},{0x00a5bb33,0x00af1102,0x01a05442,0x001e3af7,0x02354123,0x00bfec44,0x01f5862d,0x00dd7ba3,0x03146e20,0x00a51733},{0x012a8285,0x00f6fc60,0x023f9797,0x003e85ee,0x009c3820,0x01bda72d,0x01b3858d,0x00d35683,0x0296b3bb,0x010eaaf9}},
|
||||
{{0x023221b1,0x01cb26aa,0x0074f74d,0x0099ddd1,0x01b28085,0x00192c3a,0x013b27c9,0x00fc13bd,0x01d2e531,0x0075bb75},{0x004ea3bf,0x00973425,0x001a4d63,0x01d59cee,0x01d1c0d4,0x00542e49,0x01294114,0x004fce36,0x029283c9,0x01186fa9},{0x01b8b3a2,0x00db7200,0x00935e30,0x003829f5,0x02cc0d7d,0x0077adf3,0x0220dd2c,0x0014ea53,0x01c6a0f9,0x01ea7eec}},
|
||||
{{0x039d8064,0x01885f80,0x00337e6d,0x01b7a902,0x02628206,0x015eb044,0x01e30473,0x0191f2d9,0x011fadc9,0x01270169},{0x02a8632f,0x0199e2a9,0x00d8b365,0x017a8de2,0x02994279,0x0086f5b5,0x0119e4e3,0x01eb39d6,0x0338add7,0x00d2e7b4},{0x0045af1b,0x013a2fe4,0x0245e0d6,0x014538ce,0x038bfe0f,0x01d4cf16,0x037e14c9,0x0160d55e,0x0021b008,0x01cf05c8}},
|
||||
{{0x01864348,0x01d6c092,0x0070262b,0x014bb844,0x00fb5acd,0x008deb95,0x003aaab5,0x00eff474,0x00029d5c,0x0062ad66},{0x02802ade,0x01c02122,0x01c4e5f7,0x00781181,0x039767fb,0x01703406,0x0342388b,0x01f5e227,0x022546d8,0x0109d6ab},{0x016089e9,0x00cb317f,0x00949b05,0x01099417,0x000c7ad2,0x011a8622,0x0088ccda,0x01290886,0x022b53df,0x00f71954}},
|
||||
{{0x027fbf93,0x01c04ecc,0x01ed6a0d,0x004cdbbb,0x02bbf3af,0x00ad5968,0x01591955,0x0094f3a2,0x02d17602,0x00099e20},{0x02007f6d,0x003088a8,0x03db77ee,0x00d5ade6,0x02fe12ce,0x0107ba07,0x0107097d,0x00482a6f,0x02ec346f,0x008d3f5f},{0x032ea378,0x0028465c,0x028e2a6c,0x018efc6e,0x0090df9a,0x01a7e533,0x039bfc48,0x010c745d,0x03daa097,0x0125ee9b}},
|
||||
{{0x028ccf0b,0x00f36191,0x021ac081,0x012154c8,0x034e0a6e,0x01b25192,0x00180403,0x01d7eea1,0x00218d05,0x010ed735},{0x03cfeaa0,0x01b300c4,0x008da499,0x0068c4e1,0x0219230a,0x01f2d4d0,0x02defd60,0x00e565b7,0x017f12de,0x018788a4},{0x03d0b516,0x009d8be6,0x03ddcbb3,0x0071b9fe,0x03ace2bd,0x01d64270,0x032d3ec9,0x01084065,0x0210ae4d,0x01447584}},
|
||||
{{0x0020de87,0x00e19211,0x01b68102,0x00b5ac97,0x022873c0,0x01942d25,0x01271394,0x0102073f,0x02fe2482,0x01c69ff9},{0x010e9d81,0x019dbbe5,0x0089f258,0x006e06b8,0x02951883,0x018f1248,0x019b3237,0x00bc7553,0x024ddb85,0x01b4c964},{0x01c8c854,0x0060ae29,0x01406d8e,0x01cff2f9,0x00cff451,0x01778d0c,0x03ac8c41,0x01552e59,0x036559ee,0x011d1b12}},
|
||||
{{0x00741147,0x0151b219,0x01092690,0x00e877e6,0x01f4d6bb,0x0072a332,0x01cd3b03,0x00dadff2,0x0097db5e,0x0086598d},{0x01c69a2b,0x01decf1b,0x02c2fa6e,0x013b7c4f,0x037beac8,0x013a16b5,0x028e7bda,0x01f6e8ac,0x01e34fe9,0x01726947},{0x01f10e67,0x003c73de,0x022b7ea2,0x010f32c2,0x03ff776a,0x00142277,0x01d38b88,0x00776138,0x03c60822,0x01201140}},
|
||||
{{0x0236d175,0x0008748e,0x03c6476d,0x013f4cdc,0x02eed02a,0x00838a47,0x032e7210,0x018bcbb3,0x00858de4,0x01dc7826},{0x00a37fc7,0x0127b40b,0x01957884,0x011d30ad,0x02816683,0x016e0e23,0x00b76be4,0x012db115,0x02516506,0x0154ce62},{0x00451edf,0x00bd749e,0x03997342,0x01cc2c4c,0x00eb6975,0x01a59508,0x03a516cf,0x00c228ef,0x0168ff5a,0x01697b47}},
|
||||
{{0x00527359,0x01783156,0x03afd75c,0x00ce56dc,0x00e4b970,0x001cabe9,0x029e0f6d,0x0188850c,0x0135fefd,0x00066d80},{0x02150e83,0x01448abf,0x02bb0232,0x012bf259,0x033c8268,0x00711e20,0x03fc148f,0x005e0e70,0x017d8bf9,0x0112b2e2},{0x02134b83,0x001a0517,0x0182c3cc,0x00792182,0x0313d799,0x001a3ed7,0x0344547e,0x01f24a0d,0x03de6ad2,0x00543127}},
|
||||
{{0x00dca868,0x00618f27,0x015a1709,0x00ddc38a,0x0320fd13,0x0036168d,0x0371ab06,0x01783fc7,0x0391e05f,0x01e29b5d},{0x01471138,0x00fca542,0x00ca31cf,0x01ca7bad,0x0175bfbc,0x01a708ad,0x03bce212,0x01244215,0x0075bb99,0x01acad68},{0x03a0b976,0x01dc12d1,0x011aab17,0x00aba0ba,0x029806cd,0x0142f590,0x018fd8ea,0x01a01545,0x03c4ad55,0x01c971ff}},
|
||||
{{0x00d098c0,0x000afdc7,0x006cd230,0x01276af3,0x03f905b2,0x0102994c,0x002eb8a4,0x015cfbeb,0x025f855f,0x01335518},{0x01cf99b2,0x0099c574,0x01a69c88,0x00881510,0x01cd4b54,0x0112109f,0x008abdc5,0x0074647a,0x0277cb1f,0x01e53324},{0x02ac5053,0x01b109b0,0x024b095e,0x016997b3,0x02f26bb6,0x00311021,0x00197885,0x01d0a55a,0x03b6fcc8,0x01c020d5}},
|
||||
{{0x02584a34,0x00e7eee0,0x03257a03,0x011e95a3,0x011ead91,0x00536202,0x00b1ce24,0x008516c6,0x03669d6d,0x004ea4a8},{0x00773f01,0x0019c9ce,0x019f6171,0x01d4afde,0x02e33323,0x01ad29b6,0x02ead1dc,0x01ed51a5,0x01851ad0,0x001bbdfa},{0x00577de5,0x00ddc730,0x038b9952,0x00f281ae,0x01d50390,0x0002e071,0x000780ec,0x010d448d,0x01f8a2af,0x00f0a5b7}},
|
||||
{{0x031f2541,0x00d34bae,0x0323ff9d,0x003a056d,0x02e25443,0x00a1ad05,0x00d1bee8,0x002f7f8e,0x03007477,0x002a24b1},{0x0114a713,0x01457e76,0x032255d5,0x01cc647f,0x02a4bdef,0x0153d730,0x00118bcf,0x00f755ff,0x013490c7,0x01ea674e},{0x02bda3e8,0x00bb490d,0x00f291ea,0x000abf40,0x01dea321,0x002f9ce0,0x00b2b193,0x00fa54b5,0x0128302f,0x00a19d8b}},
|
||||
{{0x022ef5bd,0x01638af3,0x038c6f8a,0x01a33a3d,0x039261b2,0x01bb89b8,0x010bcf9d,0x00cf42a9,0x023d6f17,0x01da1bca},{0x00e35b25,0x000d824f,0x0152e9cf,0x00ed935d,0x020b8460,0x01c7b83f,0x00c969e5,0x01a74198,0x0046a9d9,0x00cbc768},{0x01597c6a,0x0144a99b,0x00a57551,0x0018269c,0x023c464c,0x0009b022,0x00ee39e1,0x0114c7f2,0x038a9ad2,0x01584c17}},
|
||||
{{0x03b0c0d5,0x00b30a39,0x038a6ce4,0x01ded83a,0x01c277a6,0x01010a61,0x0346d3eb,0x018d995e,0x02f2c57c,0x000c286b},{0x0092aed1,0x0125e37b,0x027ca201,0x001a6b6b,0x03290f55,0x0047ba48,0x018d916c,0x01a59062,0x013e35d4,0x0002abb1},{0x003ad2aa,0x007ddcc0,0x00c10f76,0x0001590b,0x002cfca6,0x000ed23e,0x00ee4329,0x00900f04,0x01c24065,0x0082fa70}},
|
||||
{{0x02025e60,0x003912b8,0x0327041c,0x017e5ee5,0x02c0ecec,0x015a0d1c,0x02b1ce7c,0x0062220b,0x0145067e,0x01a5d931},{0x009673a6,0x00e1f609,0x00927c2a,0x016faa37,0x01650ef0,0x016f63b5,0x03cd40e1,0x003bc38f,0x0361f0ac,0x01d42acc},{0x02f81037,0x008ca0e8,0x017e23d1,0x011debfe,0x01bcbb68,0x002e2563,0x03e8add6,0x000816e5,0x03fb7075,0x0153e5ac}},
|
||||
{{0x02b11ecd,0x016bf185,0x008f22ef,0x00e7d2bb,0x0225d92e,0x00ece785,0x00508873,0x017e16f5,0x01fbe85d,0x01e39a0e},{0x01669279,0x017c810a,0x024941f5,0x0023ebeb,0x00eb7688,0x005760f1,0x02ca4146,0x0073cde7,0x0052bb75,0x00f5ffa7},{0x03b8856b,0x00cb7dcd,0x02f14e06,0x001820d0,0x01d74175,0x00e59e22,0x03fba550,0x00484641,0x03350088,0x01c3c9a3}},
|
||||
{{0x00dcf355,0x0104481c,0x0022e464,0x01f73fe7,0x00e03325,0x0152b698,0x02ef769a,0x00973663,0x00039b8c,0x0101395b},{0x01805f47,0x019160ec,0x03832cd0,0x008b06eb,0x03d4d717,0x004cb006,0x03a75b8f,0x013b3d30,0x01cfad88,0x01f034d1},{0x0078338a,0x01c7d2e3,0x02bc2b23,0x018b3f05,0x0280d9aa,0x005f3d44,0x0220a95a,0x00eeeb97,0x0362aaec,0x00835d51}},
|
||||
{{0x01b9f543,0x013fac4d,0x02ad93ae,0x018ef464,0x0212cdf7,0x01138ba9,0x011583ab,0x019c3d26,0x028790b4,0x00e2e2b6},{0x033bb758,0x01f0dbf1,0x03734bd1,0x0129b1e5,0x02b3950e,0x003bc922,0x01a53ec8,0x018c5532,0x006f3cee,0x00ae3c79},{0x0351f95d,0x0012a737,0x03d596b8,0x017658fe,0x00ace54a,0x008b66da,0x0036c599,0x012a63a2,0x032ceba1,0x00126bac}},
|
||||
{{0x03dcfe7e,0x019f4f18,0x01c81aee,0x0044bc2b,0x00827165,0x014f7c13,0x03b430f0,0x00bf96cc,0x020c8d62,0x01471997},{0x01fc7931,0x001f42dd,0x00ba754a,0x005bd339,0x003fbe49,0x016b3930,0x012a159c,0x009f83b0,0x03530f67,0x01e57b85},{0x02ecbd81,0x0096c294,0x01fce4a9,0x017701a5,0x0175047d,0x00ee4a31,0x012686e5,0x008efcd4,0x0349dc54,0x01b3466f}},
|
||||
{{0x02179ca3,0x01d86414,0x03f0afd0,0x00305964,0x015c7428,0x0099711e,0x015d5442,0x00c71014,0x01b40b2e,0x01d483cf},{0x01afc386,0x01984859,0x036203ff,0x0045c6a8,0x0020a8aa,0x00990baa,0x03313f10,0x007ceede,0x027429e4,0x017806ce},{0x039357a1,0x0142f8f4,0x0294a7b6,0x00eaccf4,0x0259edb3,0x01311e6e,0x004d326f,0x0130c346,0x01ccef3c,0x01c424b2}},
|
||||
{{0x0364918c,0x00148fc0,0x01638a7b,0x01a1fd5b,0x028ad013,0x0081e5a4,0x01a54f33,0x0174e101,0x003d0257,0x003a856c},{0x00051dcf,0x00f62b1d,0x0143d0ad,0x0042adbd,0x000fda90,0x01743ceb,0x0173e5e4,0x017bc749,0x03b7137a,0x0105ce96},{0x00f9218a,0x015b8c7c,0x00e102f8,0x0158d7e2,0x0169a5b8,0x00b2f176,0x018b347a,0x014cfef2,0x0214a4e3,0x017f1595}},
|
||||
{{0x006d7ae5,0x0195c371,0x0391e26d,0x0062a7c6,0x003f42ab,0x010dad86,0x024f8198,0x01542b2a,0x0014c454,0x0189c471},{0x0390988e,0x00b8799d,0x02e44912,0x0078e2e6,0x00075654,0x01923eed,0x0040cd72,0x00a37c76,0x0009d466,0x00c8531d},{0x02651770,0x00609d01,0x0286c265,0x0134513c,0x00ee9281,0x005d223c,0x035c760c,0x00679b36,0x0073ecb8,0x016faa50}},
|
||||
{{0x02c89be4,0x016fc244,0x02f38c83,0x018beb72,0x02b3ce2c,0x0097b065,0x034f017b,0x01dd957f,0x00148f61,0x00eab357},{0x0343d2f8,0x003398fc,0x011e368e,0x00782a1f,0x00019eea,0x00117b6f,0x0128d0d1,0x01a5e6bb,0x01944f1b,0x012b41e1},{0x03318301,0x018ecd30,0x0104d0b1,0x0038398b,0x03726701,0x019da88c,0x002d9769,0x00a7a681,0x031d9028,0x00ebfc32}},
|
||||
{{0x0220405e,0x0171face,0x02d930f8,0x017f6d6a,0x023b8c47,0x0129d5f9,0x02972456,0x00a3a524,0x006f4cd2,0x004439fa},{0x00c53505,0x0190c2fd,0x00507244,0x009930f9,0x01a39270,0x01d327c6,0x0399bc47,0x01cfe13d,0x0332bd99,0x00b33e7d},{0x0203f5e4,0x003627b5,0x00018af8,0x01478581,0x004a2218,0x002e3bb7,0x039384d0,0x0146ea62,0x020b9693,0x0017155f}},
|
||||
{{0x03c97e6f,0x00738c47,0x03b5db1f,0x01808fcf,0x01e8fc98,0x01ed25dd,0x01bf5045,0x00eb5c2b,0x0178fe98,0x01b85530},{0x01c20eb0,0x01aeec22,0x030b9eee,0x01b7d07e,0x0187e16f,0x014421fb,0x009fa731,0x0040b6d7,0x00841861,0x00a27fbc},{0x02d69abf,0x0058cdbf,0x0129f9ec,0x013c19ae,0x026c5b93,0x013a7fe7,0x004bb2ba,0x0063226f,0x002a95ca,0x01abefd9}},
|
||||
{{0x02f5d2c1,0x00378318,0x03734fb5,0x01258073,0x0263f0f6,0x01ad70e0,0x01b56d06,0x01188fbd,0x011b9503,0x0036d2e1},{0x0113a8cc,0x01541c3e,0x02ac2bbc,0x01d95867,0x01f47459,0x00ead489,0x00ab5b48,0x01db3b45,0x00edb801,0x004b024f},{0x00b8190f,0x011fe4c2,0x00621f82,0x010508d7,0x001a5a76,0x00c7d7fd,0x03aab96d,0x019cd9dc,0x019c6635,0x00ceaa1e}},
|
||||
{{0x01085cf2,0x01fd47af,0x03e3f5e1,0x004b3e99,0x01e3d46a,0x0060033c,0x015ff0a8,0x0150cdd8,0x029e8e21,0x008cf1bc},{0x00156cb1,0x003d623f,0x01a4f069,0x00d8d053,0x01b68aea,0x01ca5ab6,0x0316ae43,0x0134dc44,0x001c8d58,0x0084b343},{0x0318c781,0x0135441f,0x03a51a5e,0x019293f4,0x0048bb37,0x013d3341,0x0143151e,0x019c74e1,0x00911914,0x0076ddde}},
|
||||
{{0x006bc26f,0x00d48e5f,0x00227bbe,0x00629ea8,0x01ea5f8b,0x0179a330,0x027a1d5f,0x01bf8f8e,0x02d26e2a,0x00c6b65e},{0x01701ab6,0x0051da77,0x01b4b667,0x00a0ce7c,0x038ae37b,0x012ac852,0x03a0b0fe,0x0097c2bb,0x00a017d2,0x01eb8b2a},{0x0120b962,0x0005fb42,0x0353b6fd,0x0061f8ce,0x007a1463,0x01560a64,0x00e0a792,0x01907c92,0x013a6622,0x007b47f1}}
|
||||
};
|
||||
@ -0,0 +1,436 @@
|
||||
#if defined(ED25519_GCC_64BIT_SSE_CHOOSE)
|
||||
|
||||
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
|
||||
|
||||
DONNA_NOINLINE static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
int64_t breg = (int64_t)b;
|
||||
uint64_t sign = (uint64_t)breg >> 63;
|
||||
uint64_t mask = ~(sign - 1);
|
||||
uint64_t u = (breg + mask) ^ mask;
|
||||
|
||||
__asm__ __volatile__ (
|
||||
/* ysubx+xaddy+t2d */
|
||||
"movq %0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
"pxor %%xmm2, %%xmm2 ;\n"
|
||||
"pxor %%xmm3, %%xmm3 ;\n"
|
||||
"pxor %%xmm4, %%xmm4 ;\n"
|
||||
"pxor %%xmm5, %%xmm5 ;\n"
|
||||
|
||||
/* 0 */
|
||||
"movq $0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm6 ;\n"
|
||||
"pxor %%xmm7, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm6, %%xmm2 ;\n"
|
||||
"por %%xmm7, %%xmm3 ;\n"
|
||||
|
||||
/* 1 */
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 0(%1), %%xmm6 ;\n"
|
||||
"movdqa 16(%1), %%xmm7 ;\n"
|
||||
"movdqa 32(%1), %%xmm8 ;\n"
|
||||
"movdqa 48(%1), %%xmm9 ;\n"
|
||||
"movdqa 64(%1), %%xmm10 ;\n"
|
||||
"movdqa 80(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 2 */
|
||||
"movq $2, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 96(%1), %%xmm6 ;\n"
|
||||
"movdqa 112(%1), %%xmm7 ;\n"
|
||||
"movdqa 128(%1), %%xmm8 ;\n"
|
||||
"movdqa 144(%1), %%xmm9 ;\n"
|
||||
"movdqa 160(%1), %%xmm10 ;\n"
|
||||
"movdqa 176(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 3 */
|
||||
"movq $3, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 192(%1), %%xmm6 ;\n"
|
||||
"movdqa 208(%1), %%xmm7 ;\n"
|
||||
"movdqa 224(%1), %%xmm8 ;\n"
|
||||
"movdqa 240(%1), %%xmm9 ;\n"
|
||||
"movdqa 256(%1), %%xmm10 ;\n"
|
||||
"movdqa 272(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 4 */
|
||||
"movq $4, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 288(%1), %%xmm6 ;\n"
|
||||
"movdqa 304(%1), %%xmm7 ;\n"
|
||||
"movdqa 320(%1), %%xmm8 ;\n"
|
||||
"movdqa 336(%1), %%xmm9 ;\n"
|
||||
"movdqa 352(%1), %%xmm10 ;\n"
|
||||
"movdqa 368(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 5 */
|
||||
"movq $5, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 384(%1), %%xmm6 ;\n"
|
||||
"movdqa 400(%1), %%xmm7 ;\n"
|
||||
"movdqa 416(%1), %%xmm8 ;\n"
|
||||
"movdqa 432(%1), %%xmm9 ;\n"
|
||||
"movdqa 448(%1), %%xmm10 ;\n"
|
||||
"movdqa 464(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 6 */
|
||||
"movq $6, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 480(%1), %%xmm6 ;\n"
|
||||
"movdqa 496(%1), %%xmm7 ;\n"
|
||||
"movdqa 512(%1), %%xmm8 ;\n"
|
||||
"movdqa 528(%1), %%xmm9 ;\n"
|
||||
"movdqa 544(%1), %%xmm10 ;\n"
|
||||
"movdqa 560(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 7 */
|
||||
"movq $7, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 576(%1), %%xmm6 ;\n"
|
||||
"movdqa 592(%1), %%xmm7 ;\n"
|
||||
"movdqa 608(%1), %%xmm8 ;\n"
|
||||
"movdqa 624(%1), %%xmm9 ;\n"
|
||||
"movdqa 640(%1), %%xmm10 ;\n"
|
||||
"movdqa 656(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 8 */
|
||||
"movq $8, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 672(%1), %%xmm6 ;\n"
|
||||
"movdqa 688(%1), %%xmm7 ;\n"
|
||||
"movdqa 704(%1), %%xmm8 ;\n"
|
||||
"movdqa 720(%1), %%xmm9 ;\n"
|
||||
"movdqa 736(%1), %%xmm10 ;\n"
|
||||
"movdqa 752(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* conditionally swap ysubx and xaddy */
|
||||
"movq %3, %%rax ;\n"
|
||||
"xorq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pxor %%xmm15, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa %%xmm2, %%xmm6 ;\n"
|
||||
"movdqa %%xmm3, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pxor %%xmm6, %%xmm0 ;\n"
|
||||
"pxor %%xmm7, %%xmm1 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
|
||||
/* store ysubx */
|
||||
"xorq %%rax, %%rax ;\n"
|
||||
"movd %%xmm0, %%rcx ;\n"
|
||||
"movd %%xmm0, %%r8 ;\n"
|
||||
"movd %%xmm1, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm0, %%xmm0 ;\n"
|
||||
"pshufd $0xee, %%xmm1, %%xmm1 ;\n"
|
||||
"movd %%xmm0, %%rdx ;\n"
|
||||
"movd %%xmm1, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movl %%ecx, 0(%2) ;\n"
|
||||
"movl %%r9d, 4(%2) ;\n"
|
||||
"movl %%r8d, 8(%2) ;\n"
|
||||
"movl %%r10d, 12(%2) ;\n"
|
||||
"movl %%edx, 16(%2) ;\n"
|
||||
"movl %%r11d, 20(%2) ;\n"
|
||||
"movl %%esi, 24(%2) ;\n"
|
||||
"movl %%r12d, 28(%2) ;\n"
|
||||
"movl %%edi, 32(%2) ;\n"
|
||||
"movl %%r13d, 36(%2) ;\n"
|
||||
"movq %%rax, 40(%2) ;\n"
|
||||
|
||||
/* store xaddy */
|
||||
"movd %%xmm2, %%rcx ;\n"
|
||||
"movd %%xmm2, %%r8 ;\n"
|
||||
"movd %%xmm3, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm2, %%xmm2 ;\n"
|
||||
"pshufd $0xee, %%xmm3, %%xmm3 ;\n"
|
||||
"movd %%xmm2, %%rdx ;\n"
|
||||
"movd %%xmm3, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movl %%ecx, 48(%2) ;\n"
|
||||
"movl %%r9d, 52(%2) ;\n"
|
||||
"movl %%r8d, 56(%2) ;\n"
|
||||
"movl %%r10d, 60(%2) ;\n"
|
||||
"movl %%edx, 64(%2) ;\n"
|
||||
"movl %%r11d, 68(%2) ;\n"
|
||||
"movl %%esi, 72(%2) ;\n"
|
||||
"movl %%r12d, 76(%2) ;\n"
|
||||
"movl %%edi, 80(%2) ;\n"
|
||||
"movl %%r13d, 84(%2) ;\n"
|
||||
"movq %%rax, 88(%2) ;\n"
|
||||
|
||||
/* extract t2d */
|
||||
"xorq %%rax, %%rax ;\n"
|
||||
"movd %%xmm4, %%rcx ;\n"
|
||||
"movd %%xmm4, %%r8 ;\n"
|
||||
"movd %%xmm5, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm4, %%xmm4 ;\n"
|
||||
"pshufd $0xee, %%xmm5, %%xmm5 ;\n"
|
||||
"movd %%xmm4, %%rdx ;\n"
|
||||
"movd %%xmm5, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movd %%ecx, %%xmm0 ;\n"
|
||||
"movd %%r9d, %%xmm4 ;\n"
|
||||
"movd %%r8d, %%xmm8 ;\n"
|
||||
"movd %%r10d, %%xmm3 ;\n"
|
||||
"movd %%edx, %%xmm1 ;\n"
|
||||
"movd %%r11d, %%xmm5 ;\n"
|
||||
"movd %%esi, %%xmm6 ;\n"
|
||||
"movd %%r12d, %%xmm7 ;\n"
|
||||
"movd %%edi, %%xmm2 ;\n"
|
||||
"movd %%r13d, %%xmm9 ;\n"
|
||||
"punpckldq %%xmm4, %%xmm0 ;\n"
|
||||
"punpckldq %%xmm3, %%xmm8 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm1 ;\n"
|
||||
"punpckldq %%xmm7, %%xmm6 ;\n"
|
||||
"punpckldq %%xmm9, %%xmm2 ;\n"
|
||||
"punpcklqdq %%xmm8, %%xmm0 ;\n"
|
||||
"punpcklqdq %%xmm6, %%xmm1 ;\n"
|
||||
|
||||
/* set up 2p in to 3/4 */
|
||||
"movl $0x7ffffda, %%ecx ;\n"
|
||||
"movl $0x3fffffe, %%edx ;\n"
|
||||
"movl $0x7fffffe, %%eax ;\n"
|
||||
"movd %%ecx, %%xmm3 ;\n"
|
||||
"movd %%edx, %%xmm5 ;\n"
|
||||
"movd %%eax, %%xmm4 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm3 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm4 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm3 ;\n"
|
||||
"movdqa %%xmm4, %%xmm5 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm4 ;\n"
|
||||
|
||||
/* subtract and conditionally move */
|
||||
"movl %3, %%ecx ;\n"
|
||||
"sub $1, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm6 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"movdqa %%xmm6, %%xmm7 ;\n"
|
||||
"psubd %%xmm0, %%xmm3 ;\n"
|
||||
"psubd %%xmm1, %%xmm4 ;\n"
|
||||
"psubd %%xmm2, %%xmm5 ;\n"
|
||||
"pand %%xmm6, %%xmm0 ;\n"
|
||||
"pand %%xmm6, %%xmm1 ;\n"
|
||||
"pand %%xmm6, %%xmm2 ;\n"
|
||||
"pandn %%xmm3, %%xmm6 ;\n"
|
||||
"movdqa %%xmm7, %%xmm3 ;\n"
|
||||
"pandn %%xmm4, %%xmm7 ;\n"
|
||||
"pandn %%xmm5, %%xmm3 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm3, %%xmm2 ;\n"
|
||||
|
||||
/* store t2d */
|
||||
"movdqa %%xmm0, 96(%2) ;\n"
|
||||
"movdqa %%xmm1, 112(%2) ;\n"
|
||||
"movdqa %%xmm2, 128(%2) ;\n"
|
||||
:
|
||||
: "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
|
||||
:
|
||||
"%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14",
|
||||
"cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif /* defined(ED25519_GCC_64BIT_SSE_CHOOSE) */
|
||||
|
||||
@ -0,0 +1,53 @@
|
||||
static const ge25519 ge25519_basepoint = {
|
||||
{0x00062d608f25d51a,0x000412a4b4f6592a,0x00075b7171a4b31d,0x0001ff60527118fe,0x000216936d3cd6e5},
|
||||
{0x0006666666666658,0x0004cccccccccccc,0x0001999999999999,0x0003333333333333,0x0006666666666666},
|
||||
{0x0000000000000001,0x0000000000000000,0x0000000000000000,0x0000000000000000,0x0000000000000000},
|
||||
{0x00068ab3a5b7dda3,0x00000eea2a5eadbb,0x0002af8df483c27e,0x000332b375274732,0x00067875f0fd78b7}
|
||||
};
|
||||
|
||||
static const bignum25519 ge25519_ecd = {
|
||||
0x00034dca135978a3,0x0001a8283b156ebd,0x0005e7a26001c029,0x000739c663a03cbb,0x00052036cee2b6ff
|
||||
};
|
||||
|
||||
static const bignum25519 ge25519_ec2d = {
|
||||
0x00069b9426b2f159,0x00035050762add7a,0x0003cf44c0038052,0x0006738cc7407977,0x0002406d9dc56dff
|
||||
};
|
||||
|
||||
static const bignum25519 ge25519_sqrtneg1 = {
|
||||
0x00061b274a0ea0b0,0x0000d5a5fc8f189d,0x0007ef5e9cbd0c60,0x00078595a6804c9e,0x0002b8324804fc1d
|
||||
};
|
||||
|
||||
static const ge25519_niels ge25519_niels_sliding_multiples[32] = {
|
||||
{{0x00003905d740913e,0x0000ba2817d673a2,0x00023e2827f4e67c,0x000133d2e0c21a34,0x00044fd2f9298f81},{0x000493c6f58c3b85,0x0000df7181c325f7,0x0000f50b0b3e4cb7,0x0005329385a44c32,0x00007cf9d3a33d4b},{0x00011205877aaa68,0x000479955893d579,0x00050d66309b67a0,0x0002d42d0dbee5ee,0x0006f117b689f0c6}},
|
||||
{{0x00011fe8a4fcd265,0x0007bcb8374faacc,0x00052f5af4ef4d4f,0x0005314098f98d10,0x0002ab91587555bd},{0x0005b0a84cee9730,0x00061d10c97155e4,0x0004059cc8096a10,0x00047a608da8014f,0x0007a164e1b9a80f},{0x0006933f0dd0d889,0x00044386bb4c4295,0x0003cb6d3162508c,0x00026368b872a2c6,0x0005a2826af12b9b}},
|
||||
{{0x000182c3a447d6ba,0x00022964e536eff2,0x000192821f540053,0x0002f9f19e788e5c,0x000154a7e73eb1b5},{0x0002bc4408a5bb33,0x000078ebdda05442,0x0002ffb112354123,0x000375ee8df5862d,0x0002945ccf146e20},{0x0003dbf1812a8285,0x0000fa17ba3f9797,0x0006f69cb49c3820,0x00034d5a0db3858d,0x00043aabe696b3bb}},
|
||||
{{0x00072c9aaa3221b1,0x000267774474f74d,0x000064b0e9b28085,0x0003f04ef53b27c9,0x0001d6edd5d2e531},{0x00025cd0944ea3bf,0x00075673b81a4d63,0x000150b925d1c0d4,0x00013f38d9294114,0x000461bea69283c9},{0x00036dc801b8b3a2,0x0000e0a7d4935e30,0x0001deb7cecc0d7d,0x000053a94e20dd2c,0x0007a9fbb1c6a0f9}},
|
||||
{{0x0006217e039d8064,0x0006dea408337e6d,0x00057ac112628206,0x000647cb65e30473,0x00049c05a51fadc9},{0x0006678aa6a8632f,0x0005ea3788d8b365,0x00021bd6d6994279,0x0007ace75919e4e3,0x00034b9ed338add7},{0x0004e8bf9045af1b,0x000514e33a45e0d6,0x0007533c5b8bfe0f,0x000583557b7e14c9,0x00073c172021b008}},
|
||||
{{0x00075b0249864348,0x00052ee11070262b,0x000237ae54fb5acd,0x0003bfd1d03aaab5,0x00018ab598029d5c},{0x000700848a802ade,0x0001e04605c4e5f7,0x0005c0d01b9767fb,0x0007d7889f42388b,0x0004275aae2546d8},{0x00032cc5fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x0004a4221888ccda,0x0003dc65522b53df}},
|
||||
{{0x0007013b327fbf93,0x0001336eeded6a0d,0x0002b565a2bbf3af,0x000253ce89591955,0x0000267882d17602},{0x0000c222a2007f6d,0x000356b79bdb77ee,0x00041ee81efe12ce,0x000120a9bd07097d,0x000234fd7eec346f},{0x0000a119732ea378,0x00063bf1ba8e2a6c,0x00069f94cc90df9a,0x000431d1779bfc48,0x000497ba6fdaa097}},
|
||||
{{0x0003cd86468ccf0b,0x00048553221ac081,0x0006c9464b4e0a6e,0x00075fba84180403,0x00043b5cd4218d05},{0x0006cc0313cfeaa0,0x0001a313848da499,0x0007cb534219230a,0x00039596dedefd60,0x00061e22917f12de},{0x0002762f9bd0b516,0x0001c6e7fbddcbb3,0x00075909c3ace2bd,0x00042101972d3ec9,0x000511d61210ae4d}},
|
||||
{{0x000386484420de87,0x0002d6b25db68102,0x000650b4962873c0,0x0004081cfd271394,0x00071a7fe6fe2482},{0x000676ef950e9d81,0x0001b81ae089f258,0x00063c4922951883,0x0002f1d54d9b3237,0x0006d325924ddb85},{0x000182b8a5c8c854,0x00073fcbe5406d8e,0x0005de3430cff451,0x000554b967ac8c41,0x0004746c4b6559ee}},
|
||||
{{0x000546c864741147,0x0003a1df99092690,0x0001ca8cc9f4d6bb,0x00036b7fc9cd3b03,0x000219663497db5e},{0x00077b3c6dc69a2b,0x0004edf13ec2fa6e,0x0004e85ad77beac8,0x0007dba2b28e7bda,0x0005c9a51de34fe9},{0x0000f1cf79f10e67,0x00043ccb0a2b7ea2,0x00005089dfff776a,0x0001dd84e1d38b88,0x0004804503c60822}},
|
||||
{{0x000021d23a36d175,0x0004fd3373c6476d,0x00020e291eeed02a,0x00062f2ecf2e7210,0x000771e098858de4},{0x00049ed02ca37fc7,0x000474c2b5957884,0x0005b8388e816683,0x0004b6c454b76be4,0x000553398a516506},{0x0002f5d278451edf,0x000730b133997342,0x0006965420eb6975,0x000308a3bfa516cf,0x0005a5ed1d68ff5a}},
|
||||
{{0x0005e0c558527359,0x0003395b73afd75c,0x000072afa4e4b970,0x00062214329e0f6d,0x000019b60135fefd},{0x0005122afe150e83,0x0004afc966bb0232,0x0001c478833c8268,0x00017839c3fc148f,0x00044acb897d8bf9},{0x000068145e134b83,0x0001e4860982c3cc,0x000068fb5f13d799,0x0007c9283744547e,0x000150c49fde6ad2}},
|
||||
{{0x0001863c9cdca868,0x0003770e295a1709,0x0000d85a3720fd13,0x0005e0ff1f71ab06,0x00078a6d7791e05f},{0x0003f29509471138,0x000729eeb4ca31cf,0x00069c22b575bfbc,0x0004910857bce212,0x0006b2b5a075bb99},{0x0007704b47a0b976,0x0002ae82e91aab17,0x00050bd6429806cd,0x00068055158fd8ea,0x000725c7ffc4ad55}},
|
||||
{{0x00002bf71cd098c0,0x00049dabcc6cd230,0x00040a6533f905b2,0x000573efac2eb8a4,0x0004cd54625f855f},{0x00026715d1cf99b2,0x0002205441a69c88,0x000448427dcd4b54,0x0001d191e88abdc5,0x000794cc9277cb1f},{0x0006c426c2ac5053,0x0005a65ece4b095e,0x0000c44086f26bb6,0x0007429568197885,0x0007008357b6fcc8}},
|
||||
{{0x00039fbb82584a34,0x00047a568f257a03,0x00014d88091ead91,0x0002145b18b1ce24,0x00013a92a3669d6d},{0x0000672738773f01,0x000752bf799f6171,0x0006b4a6dae33323,0x0007b54696ead1dc,0x00006ef7e9851ad0},{0x0003771cc0577de5,0x0003ca06bb8b9952,0x00000b81c5d50390,0x00043512340780ec,0x0003c296ddf8a2af}},
|
||||
{{0x00034d2ebb1f2541,0x0000e815b723ff9d,0x000286b416e25443,0x0000bdfe38d1bee8,0x0000a892c7007477},{0x000515f9d914a713,0x00073191ff2255d5,0x00054f5cc2a4bdef,0x0003dd57fc118bcf,0x0007a99d393490c7},{0x0002ed2436bda3e8,0x00002afd00f291ea,0x0000be7381dea321,0x0003e952d4b2b193,0x000286762d28302f}},
|
||||
{{0x00058e2bce2ef5bd,0x00068ce8f78c6f8a,0x0006ee26e39261b2,0x00033d0aa50bcf9d,0x0007686f2a3d6f17},{0x000036093ce35b25,0x0003b64d7552e9cf,0x00071ee0fe0b8460,0x00069d0660c969e5,0x00032f1da046a9d9},{0x000512a66d597c6a,0x0000609a70a57551,0x000026c08a3c464c,0x0004531fc8ee39e1,0x000561305f8a9ad2}},
|
||||
{{0x0002cc28e7b0c0d5,0x00077b60eb8a6ce4,0x0004042985c277a6,0x000636657b46d3eb,0x000030a1aef2c57c},{0x0004978dec92aed1,0x000069adae7ca201,0x00011ee923290f55,0x00069641898d916c,0x00000aaec53e35d4},{0x0001f773003ad2aa,0x000005642cc10f76,0x00003b48f82cfca6,0x0002403c10ee4329,0x00020be9c1c24065}},
|
||||
{{0x0000e44ae2025e60,0x0005f97b9727041c,0x0005683472c0ecec,0x000188882eb1ce7c,0x00069764c545067e},{0x000387d8249673a6,0x0005bea8dc927c2a,0x0005bd8ed5650ef0,0x0000ef0e3fcd40e1,0x000750ab3361f0ac},{0x00023283a2f81037,0x000477aff97e23d1,0x0000b8958dbcbb68,0x0000205b97e8add6,0x00054f96b3fb7075}},
|
||||
{{0x0005afc616b11ecd,0x00039f4aec8f22ef,0x0003b39e1625d92e,0x0005f85bd4508873,0x00078e6839fbe85d},{0x0005f20429669279,0x00008fafae4941f5,0x00015d83c4eb7688,0x0001cf379eca4146,0x0003d7fe9c52bb75},{0x00032df737b8856b,0x0000608342f14e06,0x0003967889d74175,0x0001211907fba550,0x00070f268f350088}},
|
||||
{{0x0004112070dcf355,0x0007dcff9c22e464,0x00054ada60e03325,0x00025cd98eef769a,0x000404e56c039b8c},{0x00064583b1805f47,0x00022c1baf832cd0,0x000132c01bd4d717,0x0004ecf4c3a75b8f,0x0007c0d345cfad88},{0x00071f4b8c78338a,0x00062cfc16bc2b23,0x00017cf51280d9aa,0x0003bbae5e20a95a,0x00020d754762aaec}},
|
||||
{{0x0004feb135b9f543,0x00063bd192ad93ae,0x00044e2ea612cdf7,0x000670f4991583ab,0x00038b8ada8790b4},{0x0007c36fc73bb758,0x0004a6c797734bd1,0x0000ef248ab3950e,0x00063154c9a53ec8,0x0002b8f1e46f3cee},{0x00004a9cdf51f95d,0x0005d963fbd596b8,0x00022d9b68ace54a,0x0004a98e8836c599,0x000049aeb32ceba1}},
|
||||
{{0x00067d3c63dcfe7e,0x000112f0adc81aee,0x00053df04c827165,0x0002fe5b33b430f0,0x00051c665e0c8d62},{0x00007d0b75fc7931,0x00016f4ce4ba754a,0x0005ace4c03fbe49,0x00027e0ec12a159c,0x000795ee17530f67},{0x00025b0a52ecbd81,0x0005dc0695fce4a9,0x0003b928c575047d,0x00023bf3512686e5,0x0006cd19bf49dc54}},
|
||||
{{0x0007619052179ca3,0x0000c16593f0afd0,0x000265c4795c7428,0x00031c40515d5442,0x0007520f3db40b2e},{0x0006612165afc386,0x0001171aa36203ff,0x0002642ea820a8aa,0x0001f3bb7b313f10,0x0005e01b3a7429e4},{0x00050be3d39357a1,0x0003ab33d294a7b6,0x0004c479ba59edb3,0x0004c30d184d326f,0x00071092c9ccef3c}},
|
||||
{{0x0000523f0364918c,0x000687f56d638a7b,0x00020796928ad013,0x0005d38405a54f33,0x0000ea15b03d0257},{0x0003d8ac74051dcf,0x00010ab6f543d0ad,0x0005d0f3ac0fda90,0x0005ef1d2573e5e4,0x0004173a5bb7137a},{0x00056e31f0f9218a,0x0005635f88e102f8,0x0002cbc5d969a5b8,0x000533fbc98b347a,0x0005fc565614a4e3}},
|
||||
{{0x0006570dc46d7ae5,0x00018a9f1b91e26d,0x000436b6183f42ab,0x000550acaa4f8198,0x00062711c414c454},{0x0002e1e67790988e,0x0001e38b9ae44912,0x000648fbb4075654,0x00028df1d840cd72,0x0003214c7409d466},{0x0001827406651770,0x0004d144f286c265,0x00017488f0ee9281,0x00019e6cdb5c760c,0x0005bea94073ecb8}},
|
||||
{{0x0005bf0912c89be4,0x00062fadcaf38c83,0x00025ec196b3ce2c,0x00077655ff4f017b,0x0003aacd5c148f61},{0x0000ce63f343d2f8,0x0001e0a87d1e368e,0x000045edbc019eea,0x0006979aed28d0d1,0x0004ad0785944f1b},{0x00063b34c3318301,0x0000e0e62d04d0b1,0x000676a233726701,0x00029e9a042d9769,0x0003aff0cb1d9028}},
|
||||
{{0x0005c7eb3a20405e,0x0005fdb5aad930f8,0x0004a757e63b8c47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430bf4c53505,0x000264c3e4507244,0x00074c9f19a39270,0x00073f84f799bc47,0x0002ccf9f732bd99},{0x0000d89ed603f5e4,0x00051e1604018af8,0x0000b8eedc4a2218,0x00051ba98b9384d0,0x00005c557e0b9693}},
|
||||
{{0x0001ce311fc97e6f,0x0006023f3fb5db1f,0x0007b49775e8fc98,0x0003ad70adbf5045,0x0006e154c178fe98},{0x0006bbb089c20eb0,0x0006df41fb0b9eee,0x00051087ed87e16f,0x000102db5c9fa731,0x000289fef0841861},{0x00016336fed69abf,0x0004f066b929f9ec,0x0004e9ff9e6c5b93,0x00018c89bc4bb2ba,0x0006afbf642a95ca}},
|
||||
{{0x0000de0c62f5d2c1,0x00049601cf734fb5,0x0006b5c38263f0f6,0x0004623ef5b56d06,0x0000db4b851b9503},{0x00055070f913a8cc,0x000765619eac2bbc,0x0003ab5225f47459,0x00076ced14ab5b48,0x00012c093cedb801},{0x00047f9308b8190f,0x000414235c621f82,0x00031f5ff41a5a76,0x0006736773aab96d,0x00033aa8799c6635}},
|
||||
{{0x0007f51ebd085cf2,0x00012cfa67e3f5e1,0x0001800cf1e3d46a,0x00054337615ff0a8,0x000233c6f29e8e21},{0x0000f588fc156cb1,0x000363414da4f069,0x0007296ad9b68aea,0x0004d3711316ae43,0x000212cd0c1c8d58},{0x0004d5107f18c781,0x00064a4fd3a51a5e,0x0004f4cd0448bb37,0x000671d38543151e,0x0001db7778911914}},
|
||||
{{0x000352397c6bc26f,0x00018a7aa0227bbe,0x0005e68cc1ea5f8b,0x0006fe3e3a7a1d5f,0x00031ad97ad26e2a},{0x00014769dd701ab6,0x00028339f1b4b667,0x0004ab214b8ae37b,0x00025f0aefa0b0fe,0x0007ae2ca8a017d2},{0x000017ed0920b962,0x000187e33b53b6fd,0x00055829907a1463,0x000641f248e0a792,0x0001ed1fc53a6622}}
|
||||
};
|
||||
@ -0,0 +1,435 @@
|
||||
#if defined(ED25519_GCC_64BIT_32BIT_CHOOSE)
|
||||
|
||||
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
|
||||
|
||||
DONNA_NOINLINE static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
int64_t breg = (int64_t)b;
|
||||
uint64_t sign = (uint64_t)breg >> 63;
|
||||
uint64_t mask = ~(sign - 1);
|
||||
uint64_t u = (breg + mask) ^ mask;
|
||||
|
||||
__asm__ __volatile__ (
|
||||
/* ysubx+xaddy+t2d */
|
||||
"movq %0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
"pxor %%xmm2, %%xmm2 ;\n"
|
||||
"pxor %%xmm3, %%xmm3 ;\n"
|
||||
"pxor %%xmm4, %%xmm4 ;\n"
|
||||
"pxor %%xmm5, %%xmm5 ;\n"
|
||||
|
||||
/* 0 */
|
||||
"movq $0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm6 ;\n"
|
||||
"pxor %%xmm7, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm6, %%xmm2 ;\n"
|
||||
"por %%xmm7, %%xmm3 ;\n"
|
||||
|
||||
/* 1 */
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 0(%1), %%xmm6 ;\n"
|
||||
"movdqa 16(%1), %%xmm7 ;\n"
|
||||
"movdqa 32(%1), %%xmm8 ;\n"
|
||||
"movdqa 48(%1), %%xmm9 ;\n"
|
||||
"movdqa 64(%1), %%xmm10 ;\n"
|
||||
"movdqa 80(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 2 */
|
||||
"movq $2, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 96(%1), %%xmm6 ;\n"
|
||||
"movdqa 112(%1), %%xmm7 ;\n"
|
||||
"movdqa 128(%1), %%xmm8 ;\n"
|
||||
"movdqa 144(%1), %%xmm9 ;\n"
|
||||
"movdqa 160(%1), %%xmm10 ;\n"
|
||||
"movdqa 176(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 3 */
|
||||
"movq $3, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 192(%1), %%xmm6 ;\n"
|
||||
"movdqa 208(%1), %%xmm7 ;\n"
|
||||
"movdqa 224(%1), %%xmm8 ;\n"
|
||||
"movdqa 240(%1), %%xmm9 ;\n"
|
||||
"movdqa 256(%1), %%xmm10 ;\n"
|
||||
"movdqa 272(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 4 */
|
||||
"movq $4, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 288(%1), %%xmm6 ;\n"
|
||||
"movdqa 304(%1), %%xmm7 ;\n"
|
||||
"movdqa 320(%1), %%xmm8 ;\n"
|
||||
"movdqa 336(%1), %%xmm9 ;\n"
|
||||
"movdqa 352(%1), %%xmm10 ;\n"
|
||||
"movdqa 368(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 5 */
|
||||
"movq $5, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 384(%1), %%xmm6 ;\n"
|
||||
"movdqa 400(%1), %%xmm7 ;\n"
|
||||
"movdqa 416(%1), %%xmm8 ;\n"
|
||||
"movdqa 432(%1), %%xmm9 ;\n"
|
||||
"movdqa 448(%1), %%xmm10 ;\n"
|
||||
"movdqa 464(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 6 */
|
||||
"movq $6, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 480(%1), %%xmm6 ;\n"
|
||||
"movdqa 496(%1), %%xmm7 ;\n"
|
||||
"movdqa 512(%1), %%xmm8 ;\n"
|
||||
"movdqa 528(%1), %%xmm9 ;\n"
|
||||
"movdqa 544(%1), %%xmm10 ;\n"
|
||||
"movdqa 560(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 7 */
|
||||
"movq $7, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 576(%1), %%xmm6 ;\n"
|
||||
"movdqa 592(%1), %%xmm7 ;\n"
|
||||
"movdqa 608(%1), %%xmm8 ;\n"
|
||||
"movdqa 624(%1), %%xmm9 ;\n"
|
||||
"movdqa 640(%1), %%xmm10 ;\n"
|
||||
"movdqa 656(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 8 */
|
||||
"movq $8, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 672(%1), %%xmm6 ;\n"
|
||||
"movdqa 688(%1), %%xmm7 ;\n"
|
||||
"movdqa 704(%1), %%xmm8 ;\n"
|
||||
"movdqa 720(%1), %%xmm9 ;\n"
|
||||
"movdqa 736(%1), %%xmm10 ;\n"
|
||||
"movdqa 752(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* conditionally swap ysubx and xaddy */
|
||||
"movq %3, %%rax ;\n"
|
||||
"xorq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pxor %%xmm15, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa %%xmm2, %%xmm6 ;\n"
|
||||
"movdqa %%xmm3, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pxor %%xmm6, %%xmm0 ;\n"
|
||||
"pxor %%xmm7, %%xmm1 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
|
||||
/* store ysubx */
|
||||
"xorq %%rax, %%rax ;\n"
|
||||
"movd %%xmm0, %%rcx ;\n"
|
||||
"movd %%xmm0, %%r8 ;\n"
|
||||
"movd %%xmm1, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm0, %%xmm0 ;\n"
|
||||
"pshufd $0xee, %%xmm1, %%xmm1 ;\n"
|
||||
"movd %%xmm0, %%rdx ;\n"
|
||||
"movd %%xmm1, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movl %%ecx, 0(%2) ;\n"
|
||||
"movl %%r9d, 4(%2) ;\n"
|
||||
"movl %%r8d, 8(%2) ;\n"
|
||||
"movl %%r10d, 12(%2) ;\n"
|
||||
"movl %%edx, 16(%2) ;\n"
|
||||
"movl %%r11d, 20(%2) ;\n"
|
||||
"movl %%esi, 24(%2) ;\n"
|
||||
"movl %%r12d, 28(%2) ;\n"
|
||||
"movl %%edi, 32(%2) ;\n"
|
||||
"movl %%r13d, 36(%2) ;\n"
|
||||
|
||||
/* store xaddy */
|
||||
"movd %%xmm2, %%rcx ;\n"
|
||||
"movd %%xmm2, %%r8 ;\n"
|
||||
"movd %%xmm3, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm2, %%xmm2 ;\n"
|
||||
"pshufd $0xee, %%xmm3, %%xmm3 ;\n"
|
||||
"movd %%xmm2, %%rdx ;\n"
|
||||
"movd %%xmm3, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movl %%ecx, 40(%2) ;\n"
|
||||
"movl %%r9d, 44(%2) ;\n"
|
||||
"movl %%r8d, 48(%2) ;\n"
|
||||
"movl %%r10d, 52(%2) ;\n"
|
||||
"movl %%edx, 56(%2) ;\n"
|
||||
"movl %%r11d, 60(%2) ;\n"
|
||||
"movl %%esi, 64(%2) ;\n"
|
||||
"movl %%r12d, 68(%2) ;\n"
|
||||
"movl %%edi, 72(%2) ;\n"
|
||||
"movl %%r13d, 76(%2) ;\n"
|
||||
|
||||
/* extract t2d */
|
||||
"xorq %%rax, %%rax ;\n"
|
||||
"movd %%xmm4, %%rcx ;\n"
|
||||
"movd %%xmm4, %%r8 ;\n"
|
||||
"movd %%xmm5, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm4, %%xmm4 ;\n"
|
||||
"pshufd $0xee, %%xmm5, %%xmm5 ;\n"
|
||||
"movd %%xmm4, %%rdx ;\n"
|
||||
"movd %%xmm5, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"movq %%rcx, %%r9 ;\n"
|
||||
"movq %%r8, %%r10 ;\n"
|
||||
"movq %%rdx, %%r11 ;\n"
|
||||
"movq %%rsi, %%r12 ;\n"
|
||||
"movq %%rdi, %%r13 ;\n"
|
||||
"shrq $26, %%r9 ;\n"
|
||||
"shrq $26, %%r10 ;\n"
|
||||
"shrq $26, %%r11 ;\n"
|
||||
"shrq $26, %%r12 ;\n"
|
||||
"shrq $26, %%r13 ;\n"
|
||||
"andl $0x3ffffff, %%ecx ;\n"
|
||||
"andl $0x1ffffff, %%r9d ;\n"
|
||||
"andl $0x3ffffff, %%r8d ;\n"
|
||||
"andl $0x1ffffff, %%r10d ;\n"
|
||||
"andl $0x3ffffff, %%edx ;\n"
|
||||
"andl $0x1ffffff, %%r11d ;\n"
|
||||
"andl $0x3ffffff, %%esi ;\n"
|
||||
"andl $0x1ffffff, %%r12d ;\n"
|
||||
"andl $0x3ffffff, %%edi ;\n"
|
||||
"andl $0x1ffffff, %%r13d ;\n"
|
||||
"movd %%ecx, %%xmm0 ;\n"
|
||||
"movd %%r9d, %%xmm4 ;\n"
|
||||
"movd %%r8d, %%xmm8 ;\n"
|
||||
"movd %%r10d, %%xmm3 ;\n"
|
||||
"movd %%edx, %%xmm1 ;\n"
|
||||
"movd %%r11d, %%xmm5 ;\n"
|
||||
"movd %%esi, %%xmm6 ;\n"
|
||||
"movd %%r12d, %%xmm7 ;\n"
|
||||
"movd %%edi, %%xmm2 ;\n"
|
||||
"movd %%r13d, %%xmm9 ;\n"
|
||||
"punpckldq %%xmm4, %%xmm0 ;\n"
|
||||
"punpckldq %%xmm3, %%xmm8 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm1 ;\n"
|
||||
"punpckldq %%xmm7, %%xmm6 ;\n"
|
||||
"punpckldq %%xmm9, %%xmm2 ;\n"
|
||||
"punpcklqdq %%xmm8, %%xmm0 ;\n"
|
||||
"punpcklqdq %%xmm6, %%xmm1 ;\n"
|
||||
|
||||
/* set up 2p in to 3/4 */
|
||||
"movl $0x7ffffda, %%ecx ;\n"
|
||||
"movl $0x3fffffe, %%edx ;\n"
|
||||
"movl $0x7fffffe, %%eax ;\n"
|
||||
"movd %%ecx, %%xmm3 ;\n"
|
||||
"movd %%edx, %%xmm5 ;\n"
|
||||
"movd %%eax, %%xmm4 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm3 ;\n"
|
||||
"punpckldq %%xmm5, %%xmm4 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm3 ;\n"
|
||||
"movdqa %%xmm4, %%xmm5 ;\n"
|
||||
"punpcklqdq %%xmm4, %%xmm4 ;\n"
|
||||
|
||||
/* subtract and conditionally move */
|
||||
"movl %3, %%ecx ;\n"
|
||||
"sub $1, %%ecx ;\n"
|
||||
"movd %%ecx, %%xmm6 ;\n"
|
||||
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
|
||||
"movdqa %%xmm6, %%xmm7 ;\n"
|
||||
"psubd %%xmm0, %%xmm3 ;\n"
|
||||
"psubd %%xmm1, %%xmm4 ;\n"
|
||||
"psubd %%xmm2, %%xmm5 ;\n"
|
||||
"pand %%xmm6, %%xmm0 ;\n"
|
||||
"pand %%xmm6, %%xmm1 ;\n"
|
||||
"pand %%xmm6, %%xmm2 ;\n"
|
||||
"pandn %%xmm3, %%xmm6 ;\n"
|
||||
"movdqa %%xmm7, %%xmm3 ;\n"
|
||||
"pandn %%xmm4, %%xmm7 ;\n"
|
||||
"pandn %%xmm5, %%xmm3 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm3, %%xmm2 ;\n"
|
||||
|
||||
/* store t2d */
|
||||
"movdqa %%xmm0, 80(%2) ;\n"
|
||||
"movdqa %%xmm1, 96(%2) ;\n"
|
||||
"movd %%xmm2, %%rax ;\n"
|
||||
"movq %%rax, 112(%2) ;\n"
|
||||
:
|
||||
: "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
|
||||
:
|
||||
"%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14",
|
||||
"cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif /* defined(ED25519_GCC_64BIT_32BIT_CHOOSE) */
|
||||
|
||||
@ -0,0 +1,351 @@
|
||||
#if defined(ED25519_GCC_64BIT_X86_CHOOSE)
|
||||
|
||||
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
|
||||
|
||||
DONNA_NOINLINE static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
int64_t breg = (int64_t)b;
|
||||
uint64_t sign = (uint64_t)breg >> 63;
|
||||
uint64_t mask = ~(sign - 1);
|
||||
uint64_t u = (breg + mask) ^ mask;
|
||||
|
||||
__asm__ __volatile__ (
|
||||
/* ysubx+xaddy+t2d */
|
||||
"movq %0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm0 ;\n"
|
||||
"pxor %%xmm1, %%xmm1 ;\n"
|
||||
"pxor %%xmm2, %%xmm2 ;\n"
|
||||
"pxor %%xmm3, %%xmm3 ;\n"
|
||||
"pxor %%xmm4, %%xmm4 ;\n"
|
||||
"pxor %%xmm5, %%xmm5 ;\n"
|
||||
|
||||
/* 0 */
|
||||
"movq $0, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm6 ;\n"
|
||||
"pxor %%xmm7, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm6, %%xmm2 ;\n"
|
||||
"por %%xmm7, %%xmm3 ;\n"
|
||||
|
||||
/* 1 */
|
||||
"movq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 0(%1), %%xmm6 ;\n"
|
||||
"movdqa 16(%1), %%xmm7 ;\n"
|
||||
"movdqa 32(%1), %%xmm8 ;\n"
|
||||
"movdqa 48(%1), %%xmm9 ;\n"
|
||||
"movdqa 64(%1), %%xmm10 ;\n"
|
||||
"movdqa 80(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 2 */
|
||||
"movq $2, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 96(%1), %%xmm6 ;\n"
|
||||
"movdqa 112(%1), %%xmm7 ;\n"
|
||||
"movdqa 128(%1), %%xmm8 ;\n"
|
||||
"movdqa 144(%1), %%xmm9 ;\n"
|
||||
"movdqa 160(%1), %%xmm10 ;\n"
|
||||
"movdqa 176(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 3 */
|
||||
"movq $3, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 192(%1), %%xmm6 ;\n"
|
||||
"movdqa 208(%1), %%xmm7 ;\n"
|
||||
"movdqa 224(%1), %%xmm8 ;\n"
|
||||
"movdqa 240(%1), %%xmm9 ;\n"
|
||||
"movdqa 256(%1), %%xmm10 ;\n"
|
||||
"movdqa 272(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 4 */
|
||||
"movq $4, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 288(%1), %%xmm6 ;\n"
|
||||
"movdqa 304(%1), %%xmm7 ;\n"
|
||||
"movdqa 320(%1), %%xmm8 ;\n"
|
||||
"movdqa 336(%1), %%xmm9 ;\n"
|
||||
"movdqa 352(%1), %%xmm10 ;\n"
|
||||
"movdqa 368(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 5 */
|
||||
"movq $5, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 384(%1), %%xmm6 ;\n"
|
||||
"movdqa 400(%1), %%xmm7 ;\n"
|
||||
"movdqa 416(%1), %%xmm8 ;\n"
|
||||
"movdqa 432(%1), %%xmm9 ;\n"
|
||||
"movdqa 448(%1), %%xmm10 ;\n"
|
||||
"movdqa 464(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 6 */
|
||||
"movq $6, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 480(%1), %%xmm6 ;\n"
|
||||
"movdqa 496(%1), %%xmm7 ;\n"
|
||||
"movdqa 512(%1), %%xmm8 ;\n"
|
||||
"movdqa 528(%1), %%xmm9 ;\n"
|
||||
"movdqa 544(%1), %%xmm10 ;\n"
|
||||
"movdqa 560(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 7 */
|
||||
"movq $7, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 576(%1), %%xmm6 ;\n"
|
||||
"movdqa 592(%1), %%xmm7 ;\n"
|
||||
"movdqa 608(%1), %%xmm8 ;\n"
|
||||
"movdqa 624(%1), %%xmm9 ;\n"
|
||||
"movdqa 640(%1), %%xmm10 ;\n"
|
||||
"movdqa 656(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* 8 */
|
||||
"movq $8, %%rax ;\n"
|
||||
"movd %%rax, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa 672(%1), %%xmm6 ;\n"
|
||||
"movdqa 688(%1), %%xmm7 ;\n"
|
||||
"movdqa 704(%1), %%xmm8 ;\n"
|
||||
"movdqa 720(%1), %%xmm9 ;\n"
|
||||
"movdqa 736(%1), %%xmm10 ;\n"
|
||||
"movdqa 752(%1), %%xmm11 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm8 ;\n"
|
||||
"pand %%xmm15, %%xmm9 ;\n"
|
||||
"pand %%xmm15, %%xmm10 ;\n"
|
||||
"pand %%xmm15, %%xmm11 ;\n"
|
||||
"por %%xmm6, %%xmm0 ;\n"
|
||||
"por %%xmm7, %%xmm1 ;\n"
|
||||
"por %%xmm8, %%xmm2 ;\n"
|
||||
"por %%xmm9, %%xmm3 ;\n"
|
||||
"por %%xmm10, %%xmm4 ;\n"
|
||||
"por %%xmm11, %%xmm5 ;\n"
|
||||
|
||||
/* conditionally swap ysubx and xaddy */
|
||||
"movq %3, %%rax ;\n"
|
||||
"xorq $1, %%rax ;\n"
|
||||
"movd %%rax, %%xmm14 ;\n"
|
||||
"pxor %%xmm15, %%xmm15 ;\n"
|
||||
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
"pcmpeqd %%xmm14, %%xmm15 ;\n"
|
||||
"movdqa %%xmm2, %%xmm6 ;\n"
|
||||
"movdqa %%xmm3, %%xmm7 ;\n"
|
||||
"pand %%xmm15, %%xmm6 ;\n"
|
||||
"pand %%xmm15, %%xmm7 ;\n"
|
||||
"pxor %%xmm6, %%xmm0 ;\n"
|
||||
"pxor %%xmm7, %%xmm1 ;\n"
|
||||
"pxor %%xmm0, %%xmm2 ;\n"
|
||||
"pxor %%xmm1, %%xmm3 ;\n"
|
||||
|
||||
/* store ysubx */
|
||||
"movq $0x7ffffffffffff, %%rax ;\n"
|
||||
"movd %%xmm0, %%rcx ;\n"
|
||||
"movd %%xmm0, %%r8 ;\n"
|
||||
"movd %%xmm1, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm0, %%xmm0 ;\n"
|
||||
"pshufd $0xee, %%xmm1, %%xmm1 ;\n"
|
||||
"movd %%xmm0, %%rdx ;\n"
|
||||
"movd %%xmm1, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"andq %%rax, %%rcx ;\n"
|
||||
"andq %%rax, %%r8 ;\n"
|
||||
"andq %%rax, %%rdx ;\n"
|
||||
"andq %%rax, %%rsi ;\n"
|
||||
"andq %%rax, %%rdi ;\n"
|
||||
"movq %%rcx, 0(%2) ;\n"
|
||||
"movq %%r8, 8(%2) ;\n"
|
||||
"movq %%rdx, 16(%2) ;\n"
|
||||
"movq %%rsi, 24(%2) ;\n"
|
||||
"movq %%rdi, 32(%2) ;\n"
|
||||
|
||||
/* store xaddy */
|
||||
"movq $0x7ffffffffffff, %%rax ;\n"
|
||||
"movd %%xmm2, %%rcx ;\n"
|
||||
"movd %%xmm2, %%r8 ;\n"
|
||||
"movd %%xmm3, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm2, %%xmm2 ;\n"
|
||||
"pshufd $0xee, %%xmm3, %%xmm3 ;\n"
|
||||
"movd %%xmm2, %%rdx ;\n"
|
||||
"movd %%xmm3, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"andq %%rax, %%rcx ;\n"
|
||||
"andq %%rax, %%r8 ;\n"
|
||||
"andq %%rax, %%rdx ;\n"
|
||||
"andq %%rax, %%rsi ;\n"
|
||||
"andq %%rax, %%rdi ;\n"
|
||||
"movq %%rcx, 40(%2) ;\n"
|
||||
"movq %%r8, 48(%2) ;\n"
|
||||
"movq %%rdx, 56(%2) ;\n"
|
||||
"movq %%rsi, 64(%2) ;\n"
|
||||
"movq %%rdi, 72(%2) ;\n"
|
||||
|
||||
/* extract t2d */
|
||||
"movq $0x7ffffffffffff, %%rax ;\n"
|
||||
"movd %%xmm4, %%rcx ;\n"
|
||||
"movd %%xmm4, %%r8 ;\n"
|
||||
"movd %%xmm5, %%rsi ;\n"
|
||||
"pshufd $0xee, %%xmm4, %%xmm4 ;\n"
|
||||
"pshufd $0xee, %%xmm5, %%xmm5 ;\n"
|
||||
"movd %%xmm4, %%rdx ;\n"
|
||||
"movd %%xmm5, %%rdi ;\n"
|
||||
"shrdq $51, %%rdx, %%r8 ;\n"
|
||||
"shrdq $38, %%rsi, %%rdx ;\n"
|
||||
"shrdq $25, %%rdi, %%rsi ;\n"
|
||||
"shrq $12, %%rdi ;\n"
|
||||
"andq %%rax, %%rcx ;\n"
|
||||
"andq %%rax, %%r8 ;\n"
|
||||
"andq %%rax, %%rdx ;\n"
|
||||
"andq %%rax, %%rsi ;\n"
|
||||
"andq %%rax, %%rdi ;\n"
|
||||
|
||||
/* conditionally negate t2d */
|
||||
"movq %3, %%rax ;\n"
|
||||
"movq $0xfffffffffffda, %%r9 ;\n"
|
||||
"movq $0xffffffffffffe, %%r10 ;\n"
|
||||
"movq %%r10, %%r11 ;\n"
|
||||
"movq %%r10, %%r12 ;\n"
|
||||
"movq %%r10, %%r13 ;\n"
|
||||
"subq %%rcx, %%r9 ;\n"
|
||||
"subq %%r8, %%r10 ;\n"
|
||||
"subq %%rdx, %%r11 ;\n"
|
||||
"subq %%rsi, %%r12 ;\n"
|
||||
"subq %%rdi, %%r13 ;\n"
|
||||
"cmpq $1, %%rax ;\n"
|
||||
"cmove %%r9, %%rcx ;\n"
|
||||
"cmove %%r10, %%r8 ;\n"
|
||||
"cmove %%r11, %%rdx ;\n"
|
||||
"cmove %%r12, %%rsi ;\n"
|
||||
"cmove %%r13, %%rdi ;\n"
|
||||
|
||||
/* store t2d */
|
||||
"movq %%rcx, 80(%2) ;\n"
|
||||
"movq %%r8, 88(%2) ;\n"
|
||||
"movq %%rdx, 96(%2) ;\n"
|
||||
"movq %%rsi, 104(%2) ;\n"
|
||||
"movq %%rdi, 112(%2) ;\n"
|
||||
:
|
||||
: "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
|
||||
:
|
||||
"%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13",
|
||||
"%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14",
|
||||
"cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif /* defined(ED25519_GCC_64BIT_X86_CHOOSE) */
|
||||
|
||||
@ -0,0 +1,259 @@
|
||||
/* multiples of the base point in packed {ysubx, xaddy, t2d} form */
|
||||
static const uint8_t ALIGN(16) ge25519_niels_base_multiples[256][96] = {
|
||||
{0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f},
|
||||
{0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49},
|
||||
{0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54},
|
||||
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|
||||
{0x76,0xf6,0x04,0x1e,0xd7,0x9b,0x28,0x0a,0x95,0x0f,0x42,0xd6,0x52,0x1c,0x8e,0x20,0xab,0x1f,0x69,0x34,0xb0,0xd8,0x86,0x51,0x51,0xb3,0x9f,0x2a,0x44,0x51,0x57,0x25,0xa7,0x21,0xf1,0x76,0xf5,0x7f,0x5f,0x91,0xe3,0x87,0xcd,0x2f,0x27,0x32,0x4a,0xc3,0x26,0xe5,0x1b,0x4d,0xde,0x2f,0xba,0xcc,0x9b,0x89,0x69,0x89,0x8f,0x82,0xba,0x6b,0x01,0x39,0xfe,0x90,0x66,0xbc,0xd1,0xe2,0xd5,0x7a,0x99,0xa0,0x18,0x4a,0xb5,0x4c,0xd4,0x60,0x84,0xaf,0x14,0x69,0x1d,0x97,0xe4,0x7b,0x6b,0x7f,0x4f,0x50,0x9d,0x55},
|
||||
{0xd5,0x54,0xeb,0xb3,0x78,0x83,0x73,0xa7,0x7c,0x3c,0x55,0xa5,0x66,0xd3,0x69,0x1d,0xba,0x00,0x28,0xf9,0x62,0xcf,0x26,0x0a,0x17,0x32,0x7e,0x80,0xd5,0x12,0xab,0x01,0xfd,0x66,0xd2,0xf6,0xe7,0x91,0x48,0x9c,0x1b,0x78,0x07,0x03,0x9b,0xa1,0x44,0x07,0x3b,0xe2,0x61,0x60,0x1d,0x8f,0x38,0x88,0x0e,0xd5,0x4b,0x35,0xa3,0xa6,0x3e,0x12,0x96,0x2d,0xe3,0x41,0x90,0x18,0x8d,0x11,0x48,0x58,0x31,0xd8,0xc2,0xe3,0xed,0xb9,0xd9,0x45,0x32,0xd8,0x71,0x42,0xab,0x1e,0x54,0xa1,0x18,0xc9,0xe2,0x61,0x39,0x4a},
|
||||
{0xa0,0xbb,0xe6,0xf8,0xe0,0x3b,0xdc,0x71,0x0a,0xe3,0xff,0x7e,0x34,0xf8,0xce,0xd6,0x6a,0x47,0x3a,0xe1,0x5f,0x42,0x92,0xa9,0x63,0xb7,0x1d,0xfb,0xe3,0xbc,0xd6,0x2c,0x1e,0x3f,0x23,0xf3,0x44,0xd6,0x27,0x03,0x16,0xf0,0xfc,0x34,0x0e,0x26,0x9a,0x49,0x79,0xb9,0xda,0xf2,0x16,0xa7,0xb5,0x83,0x1f,0x11,0xd4,0x9b,0xad,0xee,0xac,0x68,0x10,0xc2,0xd7,0xf3,0x0e,0xc9,0xb4,0x38,0x0c,0x04,0xad,0xb7,0x24,0x6e,0x8e,0x30,0x23,0x3e,0xe7,0xb7,0xf1,0xd9,0x60,0x38,0x97,0xf5,0x08,0xb5,0xd5,0x60,0x57,0x59},
|
||||
{0x97,0x63,0xaa,0x04,0xe1,0xbf,0x29,0x61,0xcb,0xfc,0xa7,0xa4,0x08,0x00,0x96,0x8f,0x58,0x94,0x90,0x7d,0x89,0xc0,0x8b,0x3f,0xa9,0x91,0xb2,0xdc,0x3e,0xa4,0x9f,0x70,0x90,0x27,0x02,0xfd,0xeb,0xcb,0x2a,0x88,0x60,0x57,0x11,0xc4,0x05,0x33,0xaf,0x89,0xf4,0x73,0x34,0x7d,0xe3,0x92,0xf4,0x65,0x2b,0x5a,0x51,0x54,0xdf,0xc5,0xb2,0x2c,0xca,0x2a,0xfd,0x63,0x8c,0x5d,0x0a,0xeb,0xff,0x4e,0x69,0x2e,0x66,0xc1,0x2b,0xd2,0x3a,0xb0,0xcb,0xf8,0x6e,0xf3,0x23,0x27,0x1f,0x13,0xc8,0xf0,0xec,0x29,0xf0,0x70},
|
||||
{0x33,0x3e,0xed,0x2e,0xb3,0x07,0x13,0x46,0xe7,0x81,0x55,0xa4,0x33,0x2f,0x04,0xae,0x66,0x03,0x5f,0x19,0xd3,0x49,0x44,0xc9,0x58,0x48,0x31,0x6c,0x8a,0x5d,0x7d,0x0b,0xb9,0xb0,0x10,0x5e,0xaa,0xaf,0x6a,0x2a,0xa9,0x1a,0x04,0xef,0x70,0xa3,0xf0,0x78,0x1f,0xd6,0x3a,0xaa,0x77,0xfb,0x3e,0x77,0xe1,0xd9,0x4b,0xa7,0xa2,0xa5,0xec,0x44,0x43,0xd5,0x95,0x7b,0x32,0x48,0xd4,0x25,0x1d,0x0f,0x34,0xa3,0x00,0x83,0xd3,0x70,0x2b,0xc5,0xe1,0x60,0x1c,0x53,0x1c,0xde,0xe4,0xe9,0x7d,0x2c,0x51,0x24,0x22,0x27},
|
||||
{0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f}
|
||||
};
|
||||
@ -0,0 +1,275 @@
|
||||
/*
|
||||
Ed25519 batch verification
|
||||
*/
|
||||
|
||||
#define max_batch_size 64
|
||||
#define heap_batch_size ((max_batch_size * 2) + 1)
|
||||
|
||||
/* which limb is the 128th bit in? */
|
||||
static const size_t limb128bits = (128 + bignum256modm_bits_per_limb - 1) / bignum256modm_bits_per_limb;
|
||||
|
||||
typedef size_t heap_index_t;
|
||||
|
||||
typedef struct batch_heap_t {
|
||||
unsigned char r[heap_batch_size][16]; /* 128 bit random values */
|
||||
ge25519 points[heap_batch_size];
|
||||
bignum256modm scalars[heap_batch_size];
|
||||
heap_index_t heap[heap_batch_size];
|
||||
size_t size;
|
||||
} batch_heap;
|
||||
|
||||
/* swap two values in the heap */
|
||||
static void
|
||||
heap_swap(heap_index_t *heap, size_t a, size_t b) {
|
||||
heap_index_t temp;
|
||||
temp = heap[a];
|
||||
heap[a] = heap[b];
|
||||
heap[b] = temp;
|
||||
}
|
||||
|
||||
/* add the scalar at the end of the list to the heap */
|
||||
static void
|
||||
heap_insert_next(batch_heap *heap) {
|
||||
size_t node = heap->size, parent;
|
||||
heap_index_t *pheap = heap->heap;
|
||||
bignum256modm *scalars = heap->scalars;
|
||||
|
||||
/* insert at the bottom */
|
||||
pheap[node] = (heap_index_t)node;
|
||||
|
||||
/* sift node up to its sorted spot */
|
||||
parent = (node - 1) / 2;
|
||||
while (node && lt256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], bignum256modm_limb_size - 1)) {
|
||||
heap_swap(pheap, parent, node);
|
||||
node = parent;
|
||||
parent = (node - 1) / 2;
|
||||
}
|
||||
heap->size++;
|
||||
}
|
||||
|
||||
/* update the heap when the root element is updated */
|
||||
static void
|
||||
heap_updated_root(batch_heap *heap, size_t limbsize) {
|
||||
size_t node, parent, childr, childl;
|
||||
heap_index_t *pheap = heap->heap;
|
||||
bignum256modm *scalars = heap->scalars;
|
||||
|
||||
/* sift root to the bottom */
|
||||
parent = 0;
|
||||
node = 1;
|
||||
childl = 1;
|
||||
childr = 2;
|
||||
while ((childr < heap->size)) {
|
||||
node = lt256_modm_batch(scalars[pheap[childl]], scalars[pheap[childr]], limbsize) ? childr : childl;
|
||||
heap_swap(pheap, parent, node);
|
||||
parent = node;
|
||||
childl = (parent * 2) + 1;
|
||||
childr = childl + 1;
|
||||
}
|
||||
|
||||
/* sift root back up to its sorted spot */
|
||||
parent = (node - 1) / 2;
|
||||
while (node && lte256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], limbsize)) {
|
||||
heap_swap(pheap, parent, node);
|
||||
node = parent;
|
||||
parent = (node - 1) / 2;
|
||||
}
|
||||
}
|
||||
|
||||
/* build the heap with count elements, count must be >= 3 */
|
||||
static void
|
||||
heap_build(batch_heap *heap, size_t count) {
|
||||
heap->heap[0] = 0;
|
||||
heap->size = 0;
|
||||
while (heap->size < count)
|
||||
heap_insert_next(heap);
|
||||
}
|
||||
|
||||
/* extend the heap to contain new_count elements */
|
||||
static void
|
||||
heap_extend(batch_heap *heap, size_t new_count) {
|
||||
while (heap->size < new_count)
|
||||
heap_insert_next(heap);
|
||||
}
|
||||
|
||||
/* get the top 2 elements of the heap */
|
||||
static void
|
||||
heap_get_top2(batch_heap *heap, heap_index_t *max1, heap_index_t *max2, size_t limbsize) {
|
||||
heap_index_t h0 = heap->heap[0], h1 = heap->heap[1], h2 = heap->heap[2];
|
||||
if (lt256_modm_batch(heap->scalars[h1], heap->scalars[h2], limbsize))
|
||||
h1 = h2;
|
||||
*max1 = h0;
|
||||
*max2 = h1;
|
||||
}
|
||||
|
||||
/* */
|
||||
static void
|
||||
ge25519_multi_scalarmult_vartime_final(ge25519 *r, ge25519 *point, bignum256modm scalar) {
|
||||
const bignum256modm_element_t topbit = ((bignum256modm_element_t)1 << (bignum256modm_bits_per_limb - 1));
|
||||
size_t limb = limb128bits;
|
||||
bignum256modm_element_t flag;
|
||||
|
||||
if (isone256_modm_batch(scalar)) {
|
||||
/* this will happen most of the time after bos-carter */
|
||||
*r = *point;
|
||||
return;
|
||||
} else if (iszero256_modm_batch(scalar)) {
|
||||
/* this will only happen if all scalars == 0 */
|
||||
memset(r, 0, sizeof(*r));
|
||||
r->y[0] = 1;
|
||||
r->z[0] = 1;
|
||||
return;
|
||||
}
|
||||
|
||||
*r = *point;
|
||||
|
||||
/* find the limb where first bit is set */
|
||||
while (!scalar[limb])
|
||||
limb--;
|
||||
|
||||
/* find the first bit */
|
||||
flag = topbit;
|
||||
while ((scalar[limb] & flag) == 0)
|
||||
flag >>= 1;
|
||||
|
||||
/* exponentiate */
|
||||
for (;;) {
|
||||
ge25519_double(r, r);
|
||||
if (scalar[limb] & flag)
|
||||
ge25519_add(r, r, point);
|
||||
|
||||
flag >>= 1;
|
||||
if (!flag) {
|
||||
if (!limb--)
|
||||
break;
|
||||
flag = topbit;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* count must be >= 5 */
|
||||
static void
|
||||
ge25519_multi_scalarmult_vartime(ge25519 *r, batch_heap *heap, size_t count) {
|
||||
heap_index_t max1, max2;
|
||||
|
||||
/* start with the full limb size */
|
||||
size_t limbsize = bignum256modm_limb_size - 1;
|
||||
|
||||
/* whether the heap has been extended to include the 128 bit scalars */
|
||||
int extended = 0;
|
||||
|
||||
/* grab an odd number of scalars to build the heap, unknown limb sizes */
|
||||
heap_build(heap, ((count + 1) / 2) | 1);
|
||||
|
||||
for (;;) {
|
||||
heap_get_top2(heap, &max1, &max2, limbsize);
|
||||
|
||||
/* only one scalar remaining, we're done */
|
||||
if (iszero256_modm_batch(heap->scalars[max2]))
|
||||
break;
|
||||
|
||||
/* exhausted another limb? */
|
||||
if (!heap->scalars[max1][limbsize])
|
||||
limbsize -= 1;
|
||||
|
||||
/* can we extend to the 128 bit scalars? */
|
||||
if (!extended && isatmost128bits256_modm_batch(heap->scalars[max1])) {
|
||||
heap_extend(heap, count);
|
||||
heap_get_top2(heap, &max1, &max2, limbsize);
|
||||
extended = 1;
|
||||
}
|
||||
|
||||
sub256_modm_batch(heap->scalars[max1], heap->scalars[max1], heap->scalars[max2], limbsize);
|
||||
ge25519_add(&heap->points[max2], &heap->points[max2], &heap->points[max1]);
|
||||
heap_updated_root(heap, limbsize);
|
||||
}
|
||||
|
||||
ge25519_multi_scalarmult_vartime_final(r, &heap->points[max1], heap->scalars[max1]);
|
||||
}
|
||||
|
||||
/* not actually used for anything other than testing */
|
||||
unsigned char batch_point_buffer[3][32];
|
||||
|
||||
static int
|
||||
ge25519_is_neutral_vartime(const ge25519 *p) {
|
||||
static const unsigned char zero[32] = {0};
|
||||
unsigned char point_buffer[3][32];
|
||||
curve25519_contract(point_buffer[0], p->x);
|
||||
curve25519_contract(point_buffer[1], p->y);
|
||||
curve25519_contract(point_buffer[2], p->z);
|
||||
memcpy(batch_point_buffer[1], point_buffer[1], 32);
|
||||
return (memcmp(point_buffer[0], zero, 32) == 0) && (memcmp(point_buffer[1], point_buffer[2], 32) == 0);
|
||||
}
|
||||
|
||||
int
|
||||
ED25519_FN(ed25519_sign_open_batch) (const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid) {
|
||||
batch_heap ALIGN(16) batch;
|
||||
ge25519 ALIGN(16) p;
|
||||
bignum256modm *r_scalars;
|
||||
size_t i, batchsize;
|
||||
unsigned char hram[64];
|
||||
int ret = 0;
|
||||
|
||||
for (i = 0; i < num; i++)
|
||||
valid[i] = 1;
|
||||
|
||||
while (num > 3) {
|
||||
batchsize = (num > max_batch_size) ? max_batch_size : num;
|
||||
|
||||
/* generate r (scalars[batchsize+1]..scalars[2*batchsize] */
|
||||
ED25519_FN(ed25519_randombytes_unsafe) (batch.r, batchsize * 16);
|
||||
r_scalars = &batch.scalars[batchsize + 1];
|
||||
for (i = 0; i < batchsize; i++)
|
||||
expand256_modm(r_scalars[i], batch.r[i], 16);
|
||||
|
||||
/* compute scalars[0] = ((r1s1 + r2s2 + ...)) */
|
||||
for (i = 0; i < batchsize; i++) {
|
||||
expand256_modm(batch.scalars[i], RS[i] + 32, 32);
|
||||
mul256_modm(batch.scalars[i], batch.scalars[i], r_scalars[i]);
|
||||
}
|
||||
for (i = 1; i < batchsize; i++)
|
||||
add256_modm(batch.scalars[0], batch.scalars[0], batch.scalars[i]);
|
||||
|
||||
/* compute scalars[1]..scalars[batchsize] as r[i]*H(R[i],A[i],m[i]) */
|
||||
for (i = 0; i < batchsize; i++) {
|
||||
ed25519_hram(hram, RS[i], pk[i], m[i], mlen[i]);
|
||||
expand256_modm(batch.scalars[i+1], hram, 64);
|
||||
mul256_modm(batch.scalars[i+1], batch.scalars[i+1], r_scalars[i]);
|
||||
}
|
||||
|
||||
/* compute points */
|
||||
batch.points[0] = ge25519_basepoint;
|
||||
for (i = 0; i < batchsize; i++)
|
||||
if (!ge25519_unpack_negative_vartime(&batch.points[i+1], pk[i]))
|
||||
goto fallback;
|
||||
for (i = 0; i < batchsize; i++)
|
||||
if (!ge25519_unpack_negative_vartime(&batch.points[batchsize+i+1], RS[i]))
|
||||
goto fallback;
|
||||
|
||||
ge25519_multi_scalarmult_vartime(&p, &batch, (batchsize * 2) + 1);
|
||||
if (!ge25519_is_neutral_vartime(&p)) {
|
||||
ret |= 2;
|
||||
|
||||
fallback:
|
||||
for (i = 0; i < batchsize; i++) {
|
||||
valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
|
||||
ret |= (valid[i] ^ 1);
|
||||
}
|
||||
}
|
||||
|
||||
m += batchsize;
|
||||
mlen += batchsize;
|
||||
pk += batchsize;
|
||||
RS += batchsize;
|
||||
num -= batchsize;
|
||||
valid += batchsize;
|
||||
}
|
||||
|
||||
for (i = 0; i < num; i++) {
|
||||
valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
|
||||
ret |= (valid[i] ^ 1);
|
||||
}
|
||||
|
||||
return ret;
|
||||
}
|
||||
|
||||
@ -0,0 +1,364 @@
|
||||
/*
|
||||
conversions
|
||||
*/
|
||||
|
||||
DONNA_INLINE static void
|
||||
ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) {
|
||||
curve25519_mul(r->x, p->x, p->t);
|
||||
curve25519_mul(r->y, p->y, p->z);
|
||||
curve25519_mul(r->z, p->z, p->t);
|
||||
}
|
||||
|
||||
DONNA_INLINE static void
|
||||
ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) {
|
||||
curve25519_mul(r->x, p->x, p->t);
|
||||
curve25519_mul(r->y, p->y, p->z);
|
||||
curve25519_mul(r->z, p->z, p->t);
|
||||
curve25519_mul(r->t, p->x, p->y);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) {
|
||||
curve25519_sub(p->ysubx, r->y, r->x);
|
||||
curve25519_add(p->xaddy, r->y, r->x);
|
||||
curve25519_copy(p->z, r->z);
|
||||
curve25519_mul(p->t2d, r->t, ge25519_ec2d);
|
||||
}
|
||||
|
||||
/*
|
||||
adding & doubling
|
||||
*/
|
||||
|
||||
static void
|
||||
ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) {
|
||||
bignum25519 a,b,c,d,t,u;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_sub(t, q->y, q->x);
|
||||
curve25519_add(u, q->y, q->x);
|
||||
curve25519_mul(a, a, t);
|
||||
curve25519_mul(b, b, u);
|
||||
curve25519_mul(c, p->t, q->t);
|
||||
curve25519_mul(c, c, ge25519_ec2d);
|
||||
curve25519_mul(d, p->z, q->z);
|
||||
curve25519_add(d, d, d);
|
||||
curve25519_sub(r->x, b, a);
|
||||
curve25519_add(r->y, b, a);
|
||||
curve25519_add_after_basic(r->z, d, c);
|
||||
curve25519_sub_after_basic(r->t, d, c);
|
||||
}
|
||||
|
||||
|
||||
static void
|
||||
ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) {
|
||||
bignum25519 a,b,c;
|
||||
|
||||
curve25519_square(a, p->x);
|
||||
curve25519_square(b, p->y);
|
||||
curve25519_square(c, p->z);
|
||||
curve25519_add_reduce(c, c, c);
|
||||
curve25519_add(r->x, p->x, p->y);
|
||||
curve25519_square(r->x, r->x);
|
||||
curve25519_add(r->y, b, a);
|
||||
curve25519_sub(r->z, b, a);
|
||||
curve25519_sub_after_basic(r->x, r->x, r->y);
|
||||
curve25519_sub_after_basic(r->t, c, r->z);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) {
|
||||
const bignum25519 *qb = (const bignum25519 *)q;
|
||||
bignum25519 *rb = (bignum25519 *)r;
|
||||
bignum25519 a,b,c;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */
|
||||
curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */
|
||||
curve25519_add(r->y, r->x, a);
|
||||
curve25519_sub(r->x, r->x, a);
|
||||
curve25519_mul(c, p->t, q->t2d);
|
||||
curve25519_add_reduce(r->t, p->z, p->z);
|
||||
curve25519_copy(r->z, r->t);
|
||||
curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
|
||||
curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) {
|
||||
const bignum25519 *qb = (const bignum25519 *)q;
|
||||
bignum25519 *rb = (bignum25519 *)r;
|
||||
bignum25519 a,b,c;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */
|
||||
curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */
|
||||
curve25519_add(r->y, r->x, a);
|
||||
curve25519_sub(r->x, r->x, a);
|
||||
curve25519_mul(c, p->t, q->t2d);
|
||||
curve25519_mul(r->t, p->z, q->z);
|
||||
curve25519_add_reduce(r->t, r->t, r->t);
|
||||
curve25519_copy(r->z, r->t);
|
||||
curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
|
||||
curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_double_partial(ge25519 *r, const ge25519 *p) {
|
||||
ge25519_p1p1 t;
|
||||
ge25519_double_p1p1(&t, p);
|
||||
ge25519_p1p1_to_partial(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_double(ge25519 *r, const ge25519 *p) {
|
||||
ge25519_p1p1 t;
|
||||
ge25519_double_p1p1(&t, p);
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) {
|
||||
ge25519_p1p1 t;
|
||||
ge25519_add_p1p1(&t, p, q);
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) {
|
||||
bignum25519 a,b,c,e,f,g,h;
|
||||
|
||||
curve25519_sub(a, r->y, r->x);
|
||||
curve25519_add(b, r->y, r->x);
|
||||
curve25519_mul(a, a, q->ysubx);
|
||||
curve25519_mul(e, b, q->xaddy);
|
||||
curve25519_add(h, e, a);
|
||||
curve25519_sub(e, e, a);
|
||||
curve25519_mul(c, r->t, q->t2d);
|
||||
curve25519_add(f, r->z, r->z);
|
||||
curve25519_add_after_basic(g, f, c);
|
||||
curve25519_sub_after_basic(f, f, c);
|
||||
curve25519_mul(r->x, e, f);
|
||||
curve25519_mul(r->y, h, g);
|
||||
curve25519_mul(r->z, g, f);
|
||||
curve25519_mul(r->t, e, h);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) {
|
||||
bignum25519 a,b,c,x,y,z,t;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_mul(a, a, q->ysubx);
|
||||
curve25519_mul(x, b, q->xaddy);
|
||||
curve25519_add(y, x, a);
|
||||
curve25519_sub(x, x, a);
|
||||
curve25519_mul(c, p->t, q->t2d);
|
||||
curve25519_mul(t, p->z, q->z);
|
||||
curve25519_add(t, t, t);
|
||||
curve25519_add_after_basic(z, t, c);
|
||||
curve25519_sub_after_basic(t, t, c);
|
||||
curve25519_mul(r->xaddy, x, t);
|
||||
curve25519_mul(r->ysubx, y, z);
|
||||
curve25519_mul(r->z, z, t);
|
||||
curve25519_mul(r->t2d, x, y);
|
||||
curve25519_copy(y, r->ysubx);
|
||||
curve25519_sub(r->ysubx, r->ysubx, r->xaddy);
|
||||
curve25519_add(r->xaddy, r->xaddy, y);
|
||||
curve25519_mul(r->t2d, r->t2d, ge25519_ec2d);
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
pack & unpack
|
||||
*/
|
||||
|
||||
static void
|
||||
ge25519_pack(unsigned char r[32], const ge25519 *p) {
|
||||
bignum25519 tx, ty, zi;
|
||||
unsigned char parity[32];
|
||||
curve25519_recip(zi, p->z);
|
||||
curve25519_mul(tx, p->x, zi);
|
||||
curve25519_mul(ty, p->y, zi);
|
||||
curve25519_contract(r, ty);
|
||||
curve25519_contract(parity, tx);
|
||||
r[31] ^= ((parity[0] & 1) << 7);
|
||||
}
|
||||
|
||||
static int
|
||||
ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) {
|
||||
static const unsigned char zero[32] = {0};
|
||||
static const bignum25519 one = {1};
|
||||
unsigned char parity = p[31] >> 7;
|
||||
unsigned char check[32];
|
||||
bignum25519 t, root, num, den, d3;
|
||||
|
||||
curve25519_expand(r->y, p);
|
||||
curve25519_copy(r->z, one);
|
||||
curve25519_square(num, r->y); /* x = y^2 */
|
||||
curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */
|
||||
curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */
|
||||
curve25519_add(den, den, r->z); /* den = dy^2 + 1 */
|
||||
|
||||
/* Computation of sqrt(num/den) */
|
||||
/* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
|
||||
curve25519_square(t, den);
|
||||
curve25519_mul(d3, t, den);
|
||||
curve25519_square(r->x, d3);
|
||||
curve25519_mul(r->x, r->x, den);
|
||||
curve25519_mul(r->x, r->x, num);
|
||||
curve25519_pow_two252m3(r->x, r->x);
|
||||
|
||||
/* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */
|
||||
curve25519_mul(r->x, r->x, d3);
|
||||
curve25519_mul(r->x, r->x, num);
|
||||
|
||||
/* 3. Check if either of the roots works: */
|
||||
curve25519_square(t, r->x);
|
||||
curve25519_mul(t, t, den);
|
||||
curve25519_sub_reduce(root, t, num);
|
||||
curve25519_contract(check, root);
|
||||
if (!ed25519_verify(check, zero, 32)) {
|
||||
curve25519_add_reduce(t, t, num);
|
||||
curve25519_contract(check, t);
|
||||
if (!ed25519_verify(check, zero, 32))
|
||||
return 0;
|
||||
curve25519_mul(r->x, r->x, ge25519_sqrtneg1);
|
||||
}
|
||||
|
||||
curve25519_contract(check, r->x);
|
||||
if ((check[0] & 1) == parity) {
|
||||
curve25519_copy(t, r->x);
|
||||
curve25519_neg(r->x, t);
|
||||
}
|
||||
curve25519_mul(r->t, r->x, r->y);
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
scalarmults
|
||||
*/
|
||||
|
||||
#define S1_SWINDOWSIZE 5
|
||||
#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2))
|
||||
#define S2_SWINDOWSIZE 7
|
||||
#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2))
|
||||
|
||||
/* computes [s1]p1 + [s2]basepoint */
|
||||
static void
|
||||
ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) {
|
||||
signed char slide1[256], slide2[256];
|
||||
ge25519_pniels pre1[S1_TABLE_SIZE];
|
||||
ge25519 d1;
|
||||
ge25519_p1p1 t;
|
||||
int32_t i;
|
||||
|
||||
contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE);
|
||||
contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE);
|
||||
|
||||
ge25519_double(&d1, p1);
|
||||
ge25519_full_to_pniels(pre1, p1);
|
||||
for (i = 0; i < S1_TABLE_SIZE - 1; i++)
|
||||
ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]);
|
||||
|
||||
/* set neutral */
|
||||
memset(r, 0, sizeof(ge25519));
|
||||
r->y[0] = 1;
|
||||
r->z[0] = 1;
|
||||
|
||||
i = 255;
|
||||
while ((i >= 0) && !(slide1[i] | slide2[i]))
|
||||
i--;
|
||||
|
||||
for (; i >= 0; i--) {
|
||||
ge25519_double_p1p1(&t, r);
|
||||
|
||||
if (slide1[i]) {
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7);
|
||||
}
|
||||
|
||||
if (slide2[i]) {
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7);
|
||||
}
|
||||
|
||||
ge25519_p1p1_to_partial(r, &t);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS)
|
||||
|
||||
static uint32_t
|
||||
ge25519_windowb_equal(uint32_t b, uint32_t c) {
|
||||
return ((b ^ c) - 1) >> 31;
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
bignum25519 neg;
|
||||
uint32_t sign = (uint32_t)((unsigned char)b >> 7);
|
||||
uint32_t mask = ~(sign - 1);
|
||||
uint32_t u = (b + mask) ^ mask;
|
||||
uint32_t i;
|
||||
|
||||
/* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */
|
||||
uint8_t packed[96] = {0};
|
||||
packed[0] = 1;
|
||||
packed[32] = 1;
|
||||
|
||||
for (i = 0; i < 8; i++)
|
||||
curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1));
|
||||
|
||||
/* expand in to t */
|
||||
curve25519_expand(t->ysubx, packed + 0);
|
||||
curve25519_expand(t->xaddy, packed + 32);
|
||||
curve25519_expand(t->t2d , packed + 64);
|
||||
|
||||
/* adjust for sign */
|
||||
curve25519_swap_conditional(t->ysubx, t->xaddy, sign);
|
||||
curve25519_neg(neg, t->t2d);
|
||||
curve25519_swap_conditional(t->t2d, neg, sign);
|
||||
}
|
||||
|
||||
#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */
|
||||
|
||||
|
||||
/* computes [s]basepoint */
|
||||
static void
|
||||
ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) {
|
||||
signed char b[64];
|
||||
uint32_t i;
|
||||
ge25519_niels t;
|
||||
|
||||
contract256_window4_modm(b, s);
|
||||
|
||||
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]);
|
||||
curve25519_sub_reduce(r->x, t.xaddy, t.ysubx);
|
||||
curve25519_add_reduce(r->y, t.xaddy, t.ysubx);
|
||||
memset(r->z, 0, sizeof(bignum25519));
|
||||
curve25519_copy(r->t, t.t2d);
|
||||
r->z[0] = 2;
|
||||
for (i = 3; i < 64; i += 2) {
|
||||
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
}
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double(r, r);
|
||||
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]);
|
||||
curve25519_mul(t.t2d, t.t2d, ge25519_ecd);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
for(i = 2; i < 64; i += 2) {
|
||||
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
}
|
||||
}
|
||||
|
||||
@ -0,0 +1,390 @@
|
||||
/*
|
||||
conversions
|
||||
*/
|
||||
|
||||
static void
|
||||
ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) {
|
||||
packed64bignum25519 ALIGN(16) xz, tt, xzout;
|
||||
curve25519_mul(r->y, p->y, p->z);
|
||||
curve25519_tangle64(xz, p->x, p->z);
|
||||
curve25519_tangleone64(tt, p->t);
|
||||
curve25519_mul_packed64(xzout, xz, tt);
|
||||
curve25519_untangle64(r->x, r->z, xzout);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) {
|
||||
packed64bignum25519 ALIGN(16) zy, xt, xx, zz, ty;
|
||||
curve25519_tangle64(ty, p->t, p->y);
|
||||
curve25519_tangleone64(xx, p->x);
|
||||
curve25519_mul_packed64(xt, xx, ty);
|
||||
curve25519_untangle64(r->x, r->t, xt);
|
||||
curve25519_tangleone64(zz, p->z);
|
||||
curve25519_mul_packed64(zy, zz, ty);
|
||||
curve25519_untangle64(r->z, r->y, zy);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) {
|
||||
curve25519_sub(p->ysubx, r->y, r->x);
|
||||
curve25519_add(p->xaddy, r->x, r->y);
|
||||
curve25519_copy(p->z, r->z);
|
||||
curve25519_mul(p->t2d, r->t, ge25519_ec2d);
|
||||
}
|
||||
|
||||
/*
|
||||
adding & doubling
|
||||
*/
|
||||
|
||||
static void
|
||||
ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) {
|
||||
bignum25519 ALIGN(16) a,b,c,d;
|
||||
packed32bignum25519 ALIGN(16) xx, yy, yypxx, yymxx, bd, ac, bdmac, bdpac;
|
||||
packed64bignum25519 ALIGN(16) at, bu, atbu, ptz, qtz, cd;
|
||||
|
||||
curve25519_tangle32(yy, p->y, q->y);
|
||||
curve25519_tangle32(xx, p->x, q->x);
|
||||
curve25519_add_packed32(yypxx, yy, xx);
|
||||
curve25519_sub_packed32(yymxx, yy, xx);
|
||||
curve25519_tangle64_from32(at, bu, yymxx, yypxx);
|
||||
curve25519_mul_packed64(atbu, at, bu);
|
||||
curve25519_untangle64(a, b, atbu);
|
||||
curve25519_tangle64(ptz, p->t, p->z);
|
||||
curve25519_tangle64(qtz, q->t, q->z);
|
||||
curve25519_mul_packed64(cd, ptz, qtz);
|
||||
curve25519_untangle64(c, d, cd);
|
||||
curve25519_mul(c, c, ge25519_ec2d);
|
||||
curve25519_add_reduce(d, d, d);
|
||||
/* reduce, so no after_basic is needed later */
|
||||
curve25519_tangle32(bd, b, d);
|
||||
curve25519_tangle32(ac, a, c);
|
||||
curve25519_sub_packed32(bdmac, bd, ac);
|
||||
curve25519_add_packed32(bdpac, bd, ac);
|
||||
curve25519_untangle32(r->x, r->t, bdmac);
|
||||
curve25519_untangle32(r->y, r->z, bdpac);
|
||||
}
|
||||
|
||||
|
||||
static void
|
||||
ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) {
|
||||
bignum25519 ALIGN(16) a,b,c,x;
|
||||
packed64bignum25519 ALIGN(16) xy, zx, ab, cx;
|
||||
packed32bignum25519 ALIGN(16) xc, yz, xt, yc, ac, bc;
|
||||
|
||||
curve25519_add(x, p->x, p->y);
|
||||
curve25519_tangle64(xy, p->x, p->y);
|
||||
curve25519_square_packed64(ab, xy);
|
||||
curve25519_untangle64(a, b, ab);
|
||||
curve25519_tangle64(zx, p->z, x);
|
||||
curve25519_square_packed64(cx, zx);
|
||||
curve25519_untangle64(c, x, cx);
|
||||
curve25519_tangle32(bc, b, c);
|
||||
curve25519_tangle32(ac, a, c);
|
||||
curve25519_add_reduce_packed32(yc, bc, ac);
|
||||
curve25519_untangle32(r->y, c, yc);
|
||||
curve25519_sub(r->z, b, a);
|
||||
curve25519_tangle32(yz, r->y, r->z);
|
||||
curve25519_tangle32(xc, x, c);
|
||||
curve25519_sub_after_basic_packed32(xt, xc, yz);
|
||||
curve25519_untangle32(r->x, r->t, xt);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) {
|
||||
const bignum25519 *qb = (const bignum25519 *)q;
|
||||
bignum25519 *rb = (bignum25519 *)r;
|
||||
bignum25519 ALIGN(16) a,b,c;
|
||||
packed64bignum25519 ALIGN(16) ab, yx, aybx;
|
||||
packed32bignum25519 ALIGN(16) bd, ac, bdac;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_tangle64(ab, a, b);
|
||||
curve25519_tangle64(yx, qb[signbit], qb[signbit^1]);
|
||||
curve25519_mul_packed64(aybx, ab, yx);
|
||||
curve25519_untangle64(a, b, aybx);
|
||||
curve25519_add(r->y, b, a);
|
||||
curve25519_add_reduce(r->t, p->z, p->z);
|
||||
curve25519_mul(c, p->t, q->t2d);
|
||||
curve25519_copy(r->z, r->t);
|
||||
curve25519_add(rb[2+signbit], rb[2+signbit], c);
|
||||
curve25519_tangle32(bd, b, rb[2+(signbit^1)]);
|
||||
curve25519_tangle32(ac, a, c);
|
||||
curve25519_sub_packed32(bdac, bd, ac);
|
||||
curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) {
|
||||
const bignum25519 *qb = (const bignum25519 *)q;
|
||||
bignum25519 *rb = (bignum25519 *)r;
|
||||
bignum25519 ALIGN(16) a,b,c;
|
||||
packed64bignum25519 ALIGN(16) ab, yx, aybx, zt, zt2d, tc;
|
||||
packed32bignum25519 ALIGN(16) bd, ac, bdac;
|
||||
|
||||
curve25519_sub(a, p->y, p->x);
|
||||
curve25519_add(b, p->y, p->x);
|
||||
curve25519_tangle64(ab, a, b);
|
||||
curve25519_tangle64(yx, qb[signbit], qb[signbit^1]);
|
||||
curve25519_mul_packed64(aybx, ab, yx);
|
||||
curve25519_untangle64(a, b, aybx);
|
||||
curve25519_add(r->y, b, a);
|
||||
curve25519_tangle64(zt, p->z, p->t);
|
||||
curve25519_tangle64(zt2d, q->z, q->t2d);
|
||||
curve25519_mul_packed64(tc, zt, zt2d);
|
||||
curve25519_untangle64(r->t, c, tc);
|
||||
curve25519_add_reduce(r->t, r->t, r->t);
|
||||
curve25519_copy(r->z, r->t);
|
||||
curve25519_add(rb[2+signbit], rb[2+signbit], c);
|
||||
curve25519_tangle32(bd, b, rb[2+(signbit^1)]);
|
||||
curve25519_tangle32(ac, a, c);
|
||||
curve25519_sub_packed32(bdac, bd, ac);
|
||||
curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_double(ge25519 *r, const ge25519 *p) {
|
||||
ge25519_p1p1 ALIGN(16) t;
|
||||
ge25519_double_p1p1(&t, p);
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) {
|
||||
ge25519_p1p1 ALIGN(16) t;
|
||||
ge25519_add_p1p1(&t, p, q);
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_double_partial(ge25519 *r, const ge25519 *p) {
|
||||
ge25519_p1p1 ALIGN(16) t;
|
||||
ge25519_double_p1p1(&t, p);
|
||||
ge25519_p1p1_to_partial(r, &t);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) {
|
||||
packed64bignum25519 ALIGN(16) ab, yx, aybx, eg, ff, hh, xz, ty;
|
||||
packed32bignum25519 ALIGN(16) bd, ac, bdac;
|
||||
bignum25519 ALIGN(16) a,b,c,d,e,f,g,h;
|
||||
|
||||
curve25519_sub(a, r->y, r->x);
|
||||
curve25519_add(b, r->y, r->x);
|
||||
curve25519_tangle64(ab, a, b);
|
||||
curve25519_tangle64(yx, q->ysubx, q->xaddy);
|
||||
curve25519_mul_packed64(aybx, ab, yx);
|
||||
curve25519_untangle64(a, b, aybx);
|
||||
curve25519_add(h, b, a);
|
||||
curve25519_add_reduce(d, r->z, r->z);
|
||||
curve25519_mul(c, r->t, q->t2d);
|
||||
curve25519_add(g, d, c); /* d is reduced, so no need for after_basic */
|
||||
curve25519_tangle32(bd, b, d);
|
||||
curve25519_tangle32(ac, a, c);
|
||||
curve25519_sub_packed32(bdac, bd, ac); /* d is reduced, so no need for after_basic */
|
||||
curve25519_untangle32(e, f, bdac);
|
||||
curve25519_tangle64(eg, e, g);
|
||||
curve25519_tangleone64(ff, f);
|
||||
curve25519_mul_packed64(xz, eg, ff);
|
||||
curve25519_untangle64(r->x, r->z, xz);
|
||||
curve25519_tangleone64(hh, h);
|
||||
curve25519_mul_packed64(ty, eg, hh);
|
||||
curve25519_untangle64(r->t, r->y, ty);
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) {
|
||||
ge25519_p1p1 ALIGN(16) t;
|
||||
ge25519 ALIGN(16) f;
|
||||
ge25519_pnielsadd_p1p1(&t, p, q, 0);
|
||||
ge25519_p1p1_to_full(&f, &t);
|
||||
ge25519_full_to_pniels(r, &f);
|
||||
}
|
||||
|
||||
/*
|
||||
pack & unpack
|
||||
*/
|
||||
|
||||
static void
|
||||
ge25519_pack(unsigned char r[32], const ge25519 *p) {
|
||||
bignum25519 ALIGN(16) tx, ty, zi;
|
||||
unsigned char parity[32];
|
||||
curve25519_recip(zi, p->z);
|
||||
curve25519_mul(tx, p->x, zi);
|
||||
curve25519_mul(ty, p->y, zi);
|
||||
curve25519_contract(r, ty);
|
||||
curve25519_contract(parity, tx);
|
||||
r[31] ^= ((parity[0] & 1) << 7);
|
||||
}
|
||||
|
||||
|
||||
static int
|
||||
ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) {
|
||||
static const bignum25519 ALIGN(16) one = {1};
|
||||
static const unsigned char zero[32] = {0};
|
||||
unsigned char parity = p[31] >> 7;
|
||||
unsigned char check[32];
|
||||
bignum25519 ALIGN(16) t, root, num, den, d3;
|
||||
|
||||
curve25519_expand(r->y, p);
|
||||
curve25519_copy(r->z, one);
|
||||
curve25519_square_times(num, r->y, 1); /* x = y^2 */
|
||||
curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */
|
||||
curve25519_sub_reduce(num, num, r->z); /* x = y^2 - 1 */
|
||||
curve25519_add(den, den, r->z); /* den = dy^2 + 1 */
|
||||
|
||||
/* Computation of sqrt(num/den) */
|
||||
/* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
|
||||
curve25519_square_times(t, den, 1);
|
||||
curve25519_mul(d3, t, den);
|
||||
curve25519_square_times(r->x, d3, 1);
|
||||
curve25519_mul(r->x, r->x, den);
|
||||
curve25519_mul(r->x, r->x, num);
|
||||
curve25519_pow_two252m3(r->x, r->x);
|
||||
|
||||
/* 2. computation of r->x = t * num * den^3 */
|
||||
curve25519_mul(r->x, r->x, d3);
|
||||
curve25519_mul(r->x, r->x, num);
|
||||
|
||||
/* 3. Check if either of the roots works: */
|
||||
curve25519_square_times(t, r->x, 1);
|
||||
curve25519_mul(t, t, den);
|
||||
curve25519_copy(root, t);
|
||||
curve25519_sub_reduce(root, root, num);
|
||||
curve25519_contract(check, root);
|
||||
if (!ed25519_verify(check, zero, 32)) {
|
||||
curve25519_add_reduce(t, t, num);
|
||||
curve25519_contract(check, t);
|
||||
if (!ed25519_verify(check, zero, 32))
|
||||
return 0;
|
||||
curve25519_mul(r->x, r->x, ge25519_sqrtneg1);
|
||||
}
|
||||
|
||||
curve25519_contract(check, r->x);
|
||||
if ((check[0] & 1) == parity) {
|
||||
curve25519_copy(t, r->x);
|
||||
curve25519_neg(r->x, t);
|
||||
}
|
||||
curve25519_mul(r->t, r->x, r->y);
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
|
||||
/*
|
||||
scalarmults
|
||||
*/
|
||||
|
||||
#define S1_SWINDOWSIZE 5
|
||||
#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2))
|
||||
#define S2_SWINDOWSIZE 7
|
||||
#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2))
|
||||
|
||||
static void
|
||||
ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) {
|
||||
signed char slide1[256], slide2[256];
|
||||
ge25519_pniels ALIGN(16) pre1[S1_TABLE_SIZE];
|
||||
ge25519 ALIGN(16) d1;
|
||||
ge25519_p1p1 ALIGN(16) t;
|
||||
int32_t i;
|
||||
|
||||
contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE);
|
||||
contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE);
|
||||
|
||||
ge25519_double(&d1, p1);
|
||||
ge25519_full_to_pniels(pre1, p1);
|
||||
for (i = 0; i < S1_TABLE_SIZE - 1; i++)
|
||||
ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]);
|
||||
|
||||
/* set neutral */
|
||||
memset(r, 0, sizeof(ge25519));
|
||||
r->y[0] = 1;
|
||||
r->z[0] = 1;
|
||||
|
||||
i = 255;
|
||||
while ((i >= 0) && !(slide1[i] | slide2[i]))
|
||||
i--;
|
||||
|
||||
for (; i >= 0; i--) {
|
||||
ge25519_double_p1p1(&t, r);
|
||||
|
||||
if (slide1[i]) {
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7);
|
||||
}
|
||||
|
||||
if (slide2[i]) {
|
||||
ge25519_p1p1_to_full(r, &t);
|
||||
ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7);
|
||||
}
|
||||
|
||||
ge25519_p1p1_to_partial(r, &t);
|
||||
}
|
||||
}
|
||||
|
||||
#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS)
|
||||
|
||||
static uint32_t
|
||||
ge25519_windowb_equal(uint32_t b, uint32_t c) {
|
||||
return ((b ^ c) - 1) >> 31;
|
||||
}
|
||||
|
||||
static void
|
||||
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
|
||||
bignum25519 ALIGN(16) neg;
|
||||
uint32_t sign = (uint32_t)((unsigned char)b >> 7);
|
||||
uint32_t mask = ~(sign - 1);
|
||||
uint32_t u = (b + mask) ^ mask;
|
||||
uint32_t i;
|
||||
|
||||
/* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */
|
||||
uint8_t ALIGN(16) packed[96] = {0};
|
||||
packed[0] = 1;
|
||||
packed[32] = 1;
|
||||
|
||||
for (i = 0; i < 8; i++)
|
||||
curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1));
|
||||
|
||||
/* expand in to t */
|
||||
curve25519_expand(t->ysubx, packed + 0);
|
||||
curve25519_expand(t->xaddy, packed + 32);
|
||||
curve25519_expand(t->t2d , packed + 64);
|
||||
|
||||
/* adjust for sign */
|
||||
curve25519_swap_conditional(t->ysubx, t->xaddy, sign);
|
||||
curve25519_neg(neg, t->t2d);
|
||||
curve25519_swap_conditional(t->t2d, neg, sign);
|
||||
}
|
||||
|
||||
#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */
|
||||
|
||||
static void
|
||||
ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t table[256][96], const bignum256modm s) {
|
||||
signed char b[64];
|
||||
uint32_t i;
|
||||
ge25519_niels ALIGN(16) t;
|
||||
|
||||
contract256_window4_modm(b, s);
|
||||
|
||||
ge25519_scalarmult_base_choose_niels(&t, table, 0, b[1]);
|
||||
curve25519_sub_reduce(r->x, t.xaddy, t.ysubx);
|
||||
curve25519_add_reduce(r->y, t.xaddy, t.ysubx);
|
||||
memset(r->z, 0, sizeof(bignum25519));
|
||||
r->z[0] = 2;
|
||||
curve25519_copy(r->t, t.t2d);
|
||||
for (i = 3; i < 64; i += 2) {
|
||||
ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
}
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double_partial(r, r);
|
||||
ge25519_double(r, r);
|
||||
ge25519_scalarmult_base_choose_niels(&t, table, 0, b[0]);
|
||||
curve25519_mul(t.t2d, t.t2d, ge25519_ecd);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
for(i = 2; i < 64; i += 2) {
|
||||
ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]);
|
||||
ge25519_nielsadd2(r, &t);
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,103 @@
|
||||
/* os */
|
||||
#if defined(_WIN32) || defined(_WIN64) || defined(__TOS_WIN__) || defined(__WINDOWS__)
|
||||
#define OS_WINDOWS
|
||||
#elif defined(sun) || defined(__sun) || defined(__SVR4) || defined(__svr4__)
|
||||
#define OS_SOLARIS
|
||||
#else
|
||||
#include <sys/param.h> /* need this to define BSD */
|
||||
#define OS_NIX
|
||||
#if defined(__linux__)
|
||||
#define OS_LINUX
|
||||
#elif defined(BSD)
|
||||
#define OS_BSD
|
||||
#if defined(MACOS_X) || (defined(__APPLE__) & defined(__MACH__))
|
||||
#define OS_OSX
|
||||
#elif defined(macintosh) || defined(Macintosh)
|
||||
#define OS_MAC
|
||||
#elif defined(__OpenBSD__)
|
||||
#define OS_OPENBSD
|
||||
#endif
|
||||
#endif
|
||||
#endif
|
||||
|
||||
|
||||
/* compiler */
|
||||
#if defined(_MSC_VER)
|
||||
#define COMPILER_MSVC
|
||||
#endif
|
||||
#if defined(__ICC)
|
||||
#define COMPILER_INTEL
|
||||
#endif
|
||||
#if defined(__GNUC__)
|
||||
#if (__GNUC__ >= 3)
|
||||
#define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) + (__GNUC_PATCHLEVEL__))
|
||||
#else
|
||||
#define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) )
|
||||
#endif
|
||||
#endif
|
||||
#if defined(__PATHCC__)
|
||||
#define COMPILER_PATHCC
|
||||
#endif
|
||||
#if defined(__clang__)
|
||||
#define COMPILER_CLANG ((__clang_major__ * 10000) + (__clang_minor__ * 100) + (__clang_patchlevel__))
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
/* cpu */
|
||||
#if defined(__amd64__) || defined(__amd64) || defined(__x86_64__ ) || defined(_M_X64)
|
||||
#define CPU_X86_64
|
||||
#elif defined(__i586__) || defined(__i686__) || (defined(_M_IX86) && (_M_IX86 >= 500))
|
||||
#define CPU_X86 500
|
||||
#elif defined(__i486__) || (defined(_M_IX86) && (_M_IX86 >= 400))
|
||||
#define CPU_X86 400
|
||||
#elif defined(__i386__) || (defined(_M_IX86) && (_M_IX86 >= 300)) || defined(__X86__) || defined(_X86_) || defined(__I86__)
|
||||
#define CPU_X86 300
|
||||
#elif defined(__ia64__) || defined(_IA64) || defined(__IA64__) || defined(_M_IA64) || defined(__ia64)
|
||||
#define CPU_IA64
|
||||
#endif
|
||||
|
||||
#if defined(__sparc__) || defined(__sparc) || defined(__sparcv9)
|
||||
#define CPU_SPARC
|
||||
#if defined(__sparcv9)
|
||||
#define CPU_SPARC64
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#if defined(powerpc) || defined(__PPC__) || defined(__ppc__) || defined(_ARCH_PPC) || defined(__powerpc__) || defined(__powerpc) || defined(POWERPC) || defined(_M_PPC)
|
||||
#define CPU_PPC
|
||||
#if defined(_ARCH_PWR7)
|
||||
#define CPU_POWER7
|
||||
#elif defined(__64BIT__)
|
||||
#define CPU_PPC64
|
||||
#else
|
||||
#define CPU_PPC32
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#if defined(__hppa__) || defined(__hppa)
|
||||
#define CPU_HPPA
|
||||
#endif
|
||||
|
||||
#if defined(__alpha__) || defined(__alpha) || defined(_M_ALPHA)
|
||||
#define CPU_ALPHA
|
||||
#endif
|
||||
|
||||
/* 64 bit cpu */
|
||||
#if defined(CPU_X86_64) || defined(CPU_IA64) || defined(CPU_SPARC64) || defined(__64BIT__) || defined(__LP64__) || defined(_LP64) || (defined(_MIPS_SZLONG) && (_MIPS_SZLONG == 64))
|
||||
#define CPU_64BITS
|
||||
#endif
|
||||
|
||||
#if defined(COMPILER_MSVC)
|
||||
typedef signed char int8_t;
|
||||
typedef unsigned char uint8_t;
|
||||
typedef signed short int16_t;
|
||||
typedef unsigned short uint16_t;
|
||||
typedef signed int int32_t;
|
||||
typedef unsigned int uint32_t;
|
||||
typedef signed __int64 int64_t;
|
||||
typedef unsigned __int64 uint64_t;
|
||||
#else
|
||||
#include <stdint.h>
|
||||
#endif
|
||||
|
||||
@ -0,0 +1,135 @@
|
||||
#include "ed25519-donna-portable-identify.h"
|
||||
|
||||
#define mul32x32_64(a,b) (((uint64_t)(a))*(b))
|
||||
|
||||
/* platform */
|
||||
#if defined(COMPILER_MSVC)
|
||||
#include <intrin.h>
|
||||
#if !defined(_DEBUG)
|
||||
#undef mul32x32_64
|
||||
#define mul32x32_64(a,b) __emulu(a,b)
|
||||
#endif
|
||||
#undef inline
|
||||
#define inline __forceinline
|
||||
#define DONNA_INLINE __forceinline
|
||||
#define DONNA_NOINLINE __declspec(noinline)
|
||||
#define ALIGN(x) __declspec(align(x))
|
||||
#define ROTL32(a,b) _rotl(a,b)
|
||||
#define ROTR32(a,b) _rotr(a,b)
|
||||
#else
|
||||
#include <sys/param.h>
|
||||
#define DONNA_INLINE inline __attribute__((always_inline))
|
||||
#define DONNA_NOINLINE __attribute__((noinline))
|
||||
#define ALIGN(x) __attribute__((aligned(x)))
|
||||
#define ROTL32(a,b) (((a) << (b)) | ((a) >> (32 - b)))
|
||||
#define ROTR32(a,b) (((a) >> (b)) | ((a) << (32 - b)))
|
||||
#endif
|
||||
|
||||
/* uint128_t */
|
||||
#if defined(CPU_64BITS) && !defined(ED25519_FORCE_32BIT)
|
||||
#if defined(COMPILER_CLANG) && (COMPILER_CLANG >= 30100)
|
||||
#define HAVE_NATIVE_UINT128
|
||||
typedef unsigned __int128 uint128_t;
|
||||
#elif defined(COMPILER_MSVC)
|
||||
#define HAVE_UINT128
|
||||
typedef struct uint128_t {
|
||||
uint64_t lo, hi;
|
||||
} uint128_t;
|
||||
#define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi);
|
||||
#define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift);
|
||||
#define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift);
|
||||
#define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift)
|
||||
#define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift)
|
||||
#define add128(a,b) { uint64_t p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); }
|
||||
#define add128_64(a,b) { uint64_t p = a.lo; a.lo += b; a.hi += (a.lo < p); }
|
||||
#define lo128(a) (a.lo)
|
||||
#define hi128(a) (a.hi)
|
||||
#elif defined(COMPILER_GCC) && !defined(HAVE_NATIVE_UINT128)
|
||||
#if defined(__SIZEOF_INT128__)
|
||||
#define HAVE_NATIVE_UINT128
|
||||
typedef unsigned __int128 uint128_t;
|
||||
#elif (COMPILER_GCC >= 40400)
|
||||
#define HAVE_NATIVE_UINT128
|
||||
typedef unsigned uint128_t __attribute__((mode(TI)));
|
||||
#elif defined(CPU_X86_64)
|
||||
#define HAVE_UINT128
|
||||
typedef struct uint128_t {
|
||||
uint64_t lo, hi;
|
||||
} uint128_t;
|
||||
#define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b));
|
||||
#define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo;
|
||||
#define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi;
|
||||
#define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift)
|
||||
#define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift)
|
||||
#define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc");
|
||||
#define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc");
|
||||
#define lo128(a) (a.lo)
|
||||
#define hi128(a) (a.hi)
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#if defined(HAVE_NATIVE_UINT128)
|
||||
#define HAVE_UINT128
|
||||
#define mul64x64_128(out,a,b) out = (uint128_t)a * b;
|
||||
#define shr128_pair(out,hi,lo,shift) out = (uint64_t)((((uint128_t)hi << 64) | lo) >> (shift));
|
||||
#define shl128_pair(out,hi,lo,shift) out = (uint64_t)(((((uint128_t)hi << 64) | lo) << (shift)) >> 64);
|
||||
#define shr128(out,in,shift) out = (uint64_t)(in >> (shift));
|
||||
#define shl128(out,in,shift) out = (uint64_t)((in << shift) >> 64);
|
||||
#define add128(a,b) a += b;
|
||||
#define add128_64(a,b) a += (uint64_t)b;
|
||||
#define lo128(a) ((uint64_t)a)
|
||||
#define hi128(a) ((uint64_t)(a >> 64))
|
||||
#endif
|
||||
|
||||
#if !defined(HAVE_UINT128)
|
||||
#error Need a uint128_t implementation!
|
||||
#endif
|
||||
#endif
|
||||
|
||||
/* endian */
|
||||
#if !defined(ED25519_OPENSSLRNG)
|
||||
static inline void U32TO8_LE(unsigned char *p, const uint32_t v) {
|
||||
p[0] = (unsigned char)(v );
|
||||
p[1] = (unsigned char)(v >> 8);
|
||||
p[2] = (unsigned char)(v >> 16);
|
||||
p[3] = (unsigned char)(v >> 24);
|
||||
}
|
||||
#endif
|
||||
|
||||
#if !defined(HAVE_UINT128)
|
||||
static inline uint32_t U8TO32_LE(const unsigned char *p) {
|
||||
return
|
||||
(((uint32_t)(p[0]) ) |
|
||||
((uint32_t)(p[1]) << 8) |
|
||||
((uint32_t)(p[2]) << 16) |
|
||||
((uint32_t)(p[3]) << 24));
|
||||
}
|
||||
#else
|
||||
static inline uint64_t U8TO64_LE(const unsigned char *p) {
|
||||
return
|
||||
(((uint64_t)(p[0]) ) |
|
||||
((uint64_t)(p[1]) << 8) |
|
||||
((uint64_t)(p[2]) << 16) |
|
||||
((uint64_t)(p[3]) << 24) |
|
||||
((uint64_t)(p[4]) << 32) |
|
||||
((uint64_t)(p[5]) << 40) |
|
||||
((uint64_t)(p[6]) << 48) |
|
||||
((uint64_t)(p[7]) << 56));
|
||||
}
|
||||
|
||||
static inline void U64TO8_LE(unsigned char *p, const uint64_t v) {
|
||||
p[0] = (unsigned char)(v );
|
||||
p[1] = (unsigned char)(v >> 8);
|
||||
p[2] = (unsigned char)(v >> 16);
|
||||
p[3] = (unsigned char)(v >> 24);
|
||||
p[4] = (unsigned char)(v >> 32);
|
||||
p[5] = (unsigned char)(v >> 40);
|
||||
p[6] = (unsigned char)(v >> 48);
|
||||
p[7] = (unsigned char)(v >> 56);
|
||||
}
|
||||
#endif
|
||||
|
||||
#include <stdlib.h>
|
||||
#include <string.h>
|
||||
|
||||
|
||||
@ -0,0 +1,115 @@
|
||||
/*
|
||||
Public domain by Andrew M. <liquidsun@gmail.com>
|
||||
Modified from the amd64-51-30k implementation by
|
||||
Daniel J. Bernstein
|
||||
Niels Duif
|
||||
Tanja Lange
|
||||
Peter Schwabe
|
||||
Bo-Yin Yang
|
||||
*/
|
||||
|
||||
|
||||
#include "ed25519-donna-portable.h"
|
||||
|
||||
#if defined(ED25519_SSE2)
|
||||
#else
|
||||
#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
|
||||
#define ED25519_64BIT
|
||||
#else
|
||||
#define ED25519_32BIT
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#if !defined(ED25519_NO_INLINE_ASM)
|
||||
/* detect extra features first so un-needed functions can be disabled throughout */
|
||||
#if defined(ED25519_SSE2)
|
||||
#if defined(COMPILER_GCC) && defined(CPU_X86)
|
||||
#define ED25519_GCC_32BIT_SSE_CHOOSE
|
||||
#elif defined(COMPILER_GCC) && defined(CPU_X86_64)
|
||||
#define ED25519_GCC_64BIT_SSE_CHOOSE
|
||||
#endif
|
||||
#else
|
||||
#if defined(CPU_X86_64)
|
||||
#if defined(COMPILER_GCC)
|
||||
#if defined(ED25519_64BIT)
|
||||
#define ED25519_GCC_64BIT_X86_CHOOSE
|
||||
#else
|
||||
#define ED25519_GCC_64BIT_32BIT_CHOOSE
|
||||
#endif
|
||||
#endif
|
||||
#endif
|
||||
#endif
|
||||
#endif
|
||||
|
||||
#if defined(ED25519_SSE2)
|
||||
#include "curve25519-donna-sse2.h"
|
||||
#elif defined(ED25519_64BIT)
|
||||
#include "curve25519-donna-64bit.h"
|
||||
#else
|
||||
#include "curve25519-donna-32bit.h"
|
||||
#endif
|
||||
|
||||
#include "curve25519-donna-helpers.h"
|
||||
|
||||
/* separate uint128 check for 64 bit sse2 */
|
||||
#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
|
||||
#include "modm-donna-64bit.h"
|
||||
#else
|
||||
#include "modm-donna-32bit.h"
|
||||
#endif
|
||||
|
||||
typedef unsigned char hash_512bits[64];
|
||||
|
||||
/*
|
||||
Timing safe memory compare
|
||||
*/
|
||||
static int
|
||||
ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) {
|
||||
size_t differentbits = 0;
|
||||
while (len--)
|
||||
differentbits |= (*x++ ^ *y++);
|
||||
return (int) (1 & ((differentbits - 1) >> 8));
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
* Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2
|
||||
* with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
|
||||
* Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
|
||||
*/
|
||||
|
||||
typedef struct ge25519_t {
|
||||
bignum25519 x, y, z, t;
|
||||
} ge25519;
|
||||
|
||||
typedef struct ge25519_p1p1_t {
|
||||
bignum25519 x, y, z, t;
|
||||
} ge25519_p1p1;
|
||||
|
||||
typedef struct ge25519_niels_t {
|
||||
bignum25519 ysubx, xaddy, t2d;
|
||||
} ge25519_niels;
|
||||
|
||||
typedef struct ge25519_pniels_t {
|
||||
bignum25519 ysubx, xaddy, z, t2d;
|
||||
} ge25519_pniels;
|
||||
|
||||
#include "ed25519-donna-basepoint-table.h"
|
||||
|
||||
#if defined(ED25519_64BIT)
|
||||
#include "ed25519-donna-64bit-tables.h"
|
||||
#include "ed25519-donna-64bit-x86.h"
|
||||
#else
|
||||
#include "ed25519-donna-32bit-tables.h"
|
||||
#include "ed25519-donna-64bit-x86-32bit.h"
|
||||
#endif
|
||||
|
||||
|
||||
#if defined(ED25519_SSE2)
|
||||
#include "ed25519-donna-32bit-sse2.h"
|
||||
#include "ed25519-donna-64bit-sse2.h"
|
||||
#include "ed25519-donna-impl-sse2.h"
|
||||
#else
|
||||
#include "ed25519-donna-impl-base.h"
|
||||
#endif
|
||||
|
||||
@ -0,0 +1,18 @@
|
||||
/*
|
||||
a custom hash must have a 512bit digest and implement:
|
||||
|
||||
struct ed25519_hash_context;
|
||||
|
||||
void ed25519_hash_init(ed25519_hash_context *ctx);
|
||||
void ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen);
|
||||
void ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash);
|
||||
void ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen);
|
||||
*/
|
||||
|
||||
#include "sha2.h"
|
||||
|
||||
#define ed25519_hash_context SHA512_CTX
|
||||
#define ed25519_hash_init(ctx) sha512_Init(ctx)
|
||||
#define ed25519_hash_update(ctx, in, inlen) sha512_Update((ctx), (in), (inlen))
|
||||
#define ed25519_hash_final(ctx, hash) sha512_Final((hash), (ctx))
|
||||
#define ed25519_hash(hash, in, inlen) sha512_Raw((in), (inlen), (hash))
|
||||
@ -0,0 +1,219 @@
|
||||
#if defined(ED25519_REFHASH)
|
||||
|
||||
/* reference/slow SHA-512. really, do not use this */
|
||||
|
||||
#define HASH_BLOCK_SIZE 128
|
||||
#define HASH_DIGEST_SIZE 64
|
||||
|
||||
typedef struct sha512_state_t {
|
||||
uint64_t H[8];
|
||||
uint64_t T[2];
|
||||
uint32_t leftover;
|
||||
uint8_t buffer[HASH_BLOCK_SIZE];
|
||||
} sha512_state;
|
||||
|
||||
typedef sha512_state ed25519_hash_context;
|
||||
|
||||
static const uint64_t sha512_constants[80] = {
|
||||
0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull,
|
||||
0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull,
|
||||
0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull,
|
||||
0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull,
|
||||
0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull,
|
||||
0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull,
|
||||
0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull,
|
||||
0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull,
|
||||
0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull,
|
||||
0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull,
|
||||
0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull,
|
||||
0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull,
|
||||
0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull,
|
||||
0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull,
|
||||
0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull,
|
||||
0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull,
|
||||
0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull,
|
||||
0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull,
|
||||
0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull,
|
||||
0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull
|
||||
};
|
||||
|
||||
static uint64_t
|
||||
sha512_ROTR64(uint64_t x, int k) {
|
||||
return (x >> k) | (x << (64 - k));
|
||||
}
|
||||
|
||||
static uint64_t
|
||||
sha512_LOAD64_BE(const uint8_t *p) {
|
||||
return
|
||||
((uint64_t)p[0] << 56) |
|
||||
((uint64_t)p[1] << 48) |
|
||||
((uint64_t)p[2] << 40) |
|
||||
((uint64_t)p[3] << 32) |
|
||||
((uint64_t)p[4] << 24) |
|
||||
((uint64_t)p[5] << 16) |
|
||||
((uint64_t)p[6] << 8) |
|
||||
((uint64_t)p[7] );
|
||||
}
|
||||
|
||||
static void
|
||||
sha512_STORE64_BE(uint8_t *p, uint64_t v) {
|
||||
p[0] = (uint8_t)(v >> 56);
|
||||
p[1] = (uint8_t)(v >> 48);
|
||||
p[2] = (uint8_t)(v >> 40);
|
||||
p[3] = (uint8_t)(v >> 32);
|
||||
p[4] = (uint8_t)(v >> 24);
|
||||
p[5] = (uint8_t)(v >> 16);
|
||||
p[6] = (uint8_t)(v >> 8);
|
||||
p[7] = (uint8_t)(v );
|
||||
}
|
||||
|
||||
#define Ch(x,y,z) (z ^ (x & (y ^ z)))
|
||||
#define Maj(x,y,z) (((x | y) & z) | (x & y))
|
||||
#define S0(x) (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39))
|
||||
#define S1(x) (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41))
|
||||
#define G0(x) (sha512_ROTR64(x, 1) ^ sha512_ROTR64(x, 8) ^ (x >> 7))
|
||||
#define G1(x) (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >> 6))
|
||||
#define W0(in,i) (sha512_LOAD64_BE(&in[i * 8]))
|
||||
#define W1(i) (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16])
|
||||
#define STEP(i) \
|
||||
t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \
|
||||
t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \
|
||||
r[7] = r[6]; \
|
||||
r[6] = r[5]; \
|
||||
r[5] = r[4]; \
|
||||
r[4] = r[3] + t0; \
|
||||
r[3] = r[2]; \
|
||||
r[2] = r[1]; \
|
||||
r[1] = r[0]; \
|
||||
r[0] = t0 + t1;
|
||||
|
||||
static void
|
||||
sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) {
|
||||
uint64_t r[8], w[80], t0, t1;
|
||||
size_t i;
|
||||
|
||||
for (i = 0; i < 8; i++) r[i] = S->H[i];
|
||||
|
||||
while (blocks--) {
|
||||
for (i = 0; i < 16; i++) { w[i] = W0(in, i); }
|
||||
for (i = 16; i < 80; i++) { w[i] = W1(i); }
|
||||
for (i = 0; i < 80; i++) { STEP(i); }
|
||||
for (i = 0; i < 8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; }
|
||||
S->T[0] += HASH_BLOCK_SIZE * 8;
|
||||
S->T[1] += (!S->T[0]) ? 1 : 0;
|
||||
in += HASH_BLOCK_SIZE;
|
||||
}
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash_init(sha512_state *S) {
|
||||
S->H[0] = 0x6a09e667f3bcc908ull;
|
||||
S->H[1] = 0xbb67ae8584caa73bull;
|
||||
S->H[2] = 0x3c6ef372fe94f82bull;
|
||||
S->H[3] = 0xa54ff53a5f1d36f1ull;
|
||||
S->H[4] = 0x510e527fade682d1ull;
|
||||
S->H[5] = 0x9b05688c2b3e6c1full;
|
||||
S->H[6] = 0x1f83d9abfb41bd6bull;
|
||||
S->H[7] = 0x5be0cd19137e2179ull;
|
||||
S->T[0] = 0;
|
||||
S->T[1] = 0;
|
||||
S->leftover = 0;
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) {
|
||||
size_t blocks, want;
|
||||
|
||||
/* handle the previous data */
|
||||
if (S->leftover) {
|
||||
want = (HASH_BLOCK_SIZE - S->leftover);
|
||||
want = (want < inlen) ? want : inlen;
|
||||
memcpy(S->buffer + S->leftover, in, want);
|
||||
S->leftover += (uint32_t)want;
|
||||
if (S->leftover < HASH_BLOCK_SIZE)
|
||||
return;
|
||||
in += want;
|
||||
inlen -= want;
|
||||
sha512_blocks(S, S->buffer, 1);
|
||||
}
|
||||
|
||||
/* handle the current data */
|
||||
blocks = (inlen & ~(HASH_BLOCK_SIZE - 1));
|
||||
S->leftover = (uint32_t)(inlen - blocks);
|
||||
if (blocks) {
|
||||
sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE);
|
||||
in += blocks;
|
||||
}
|
||||
|
||||
/* handle leftover data */
|
||||
if (S->leftover)
|
||||
memcpy(S->buffer, in, S->leftover);
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash_final(sha512_state *S, uint8_t *hash) {
|
||||
uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1];
|
||||
|
||||
S->buffer[S->leftover] = 0x80;
|
||||
if (S->leftover <= 111) {
|
||||
memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover);
|
||||
} else {
|
||||
memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover);
|
||||
sha512_blocks(S, S->buffer, 1);
|
||||
memset(S->buffer, 0, 112);
|
||||
}
|
||||
|
||||
sha512_STORE64_BE(S->buffer + 112, t1);
|
||||
sha512_STORE64_BE(S->buffer + 120, t0);
|
||||
sha512_blocks(S, S->buffer, 1);
|
||||
|
||||
sha512_STORE64_BE(&hash[ 0], S->H[0]);
|
||||
sha512_STORE64_BE(&hash[ 8], S->H[1]);
|
||||
sha512_STORE64_BE(&hash[16], S->H[2]);
|
||||
sha512_STORE64_BE(&hash[24], S->H[3]);
|
||||
sha512_STORE64_BE(&hash[32], S->H[4]);
|
||||
sha512_STORE64_BE(&hash[40], S->H[5]);
|
||||
sha512_STORE64_BE(&hash[48], S->H[6]);
|
||||
sha512_STORE64_BE(&hash[56], S->H[7]);
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
|
||||
ed25519_hash_context ctx;
|
||||
ed25519_hash_init(&ctx);
|
||||
ed25519_hash_update(&ctx, in, inlen);
|
||||
ed25519_hash_final(&ctx, hash);
|
||||
}
|
||||
|
||||
#elif defined(ED25519_CUSTOMHASH)
|
||||
|
||||
#include "ed25519-hash-custom.h"
|
||||
|
||||
#else
|
||||
|
||||
#include <openssl/sha.h>
|
||||
|
||||
typedef SHA512_CTX ed25519_hash_context;
|
||||
|
||||
static void
|
||||
ed25519_hash_init(ed25519_hash_context *ctx) {
|
||||
SHA512_Init(ctx);
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen) {
|
||||
SHA512_Update(ctx, in, inlen);
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash) {
|
||||
SHA512_Final(hash, ctx);
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
|
||||
SHA512(in, inlen, hash);
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
@ -0,0 +1,12 @@
|
||||
/*
|
||||
a custom randombytes must implement:
|
||||
|
||||
void ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len);
|
||||
|
||||
ed25519_randombytes_unsafe is used by the batch verification function
|
||||
to create random scalars
|
||||
*/
|
||||
|
||||
#include "rand.h"
|
||||
|
||||
#define ed25519_randombytes_unsafe(p, len) random_buffer((uint8_t *)(p), (len))
|
||||
@ -0,0 +1,91 @@
|
||||
#if defined(ED25519_TEST)
|
||||
/*
|
||||
ISAAC+ "variant", the paper is not clear on operator precedence and other
|
||||
things. This is the "first in, first out" option!
|
||||
|
||||
Not threadsafe or securely initialized, only for deterministic testing
|
||||
*/
|
||||
typedef struct isaacp_state_t {
|
||||
uint32_t state[256];
|
||||
unsigned char buffer[1024];
|
||||
uint32_t a, b, c;
|
||||
size_t left;
|
||||
} isaacp_state;
|
||||
|
||||
#define isaacp_step(offset, mix) \
|
||||
x = mm[i + offset]; \
|
||||
a = (a ^ (mix)) + (mm[(i + offset + 128) & 0xff]); \
|
||||
y = (a ^ b) + mm[(x >> 2) & 0xff]; \
|
||||
mm[i + offset] = y; \
|
||||
b = (x + a) ^ mm[(y >> 10) & 0xff]; \
|
||||
U32TO8_LE(out + (i + offset) * 4, b);
|
||||
|
||||
static void
|
||||
isaacp_mix(isaacp_state *st) {
|
||||
uint32_t i, x, y;
|
||||
uint32_t a = st->a, b = st->b, c = st->c;
|
||||
uint32_t *mm = st->state;
|
||||
unsigned char *out = st->buffer;
|
||||
|
||||
c = c + 1;
|
||||
b = b + c;
|
||||
|
||||
for (i = 0; i < 256; i += 4) {
|
||||
isaacp_step(0, ROTL32(a,13))
|
||||
isaacp_step(1, ROTR32(a, 6))
|
||||
isaacp_step(2, ROTL32(a, 2))
|
||||
isaacp_step(3, ROTR32(a,16))
|
||||
}
|
||||
|
||||
st->a = a;
|
||||
st->b = b;
|
||||
st->c = c;
|
||||
st->left = 1024;
|
||||
}
|
||||
|
||||
static void
|
||||
isaacp_random(isaacp_state *st, void *p, size_t len) {
|
||||
size_t use;
|
||||
unsigned char *c = (unsigned char *)p;
|
||||
while (len) {
|
||||
use = (len > st->left) ? st->left : len;
|
||||
memcpy(c, st->buffer + (sizeof(st->buffer) - st->left), use);
|
||||
|
||||
st->left -= use;
|
||||
c += use;
|
||||
len -= use;
|
||||
|
||||
if (!st->left)
|
||||
isaacp_mix(st);
|
||||
}
|
||||
}
|
||||
|
||||
void
|
||||
ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) {
|
||||
static int initialized = 0;
|
||||
static isaacp_state rng;
|
||||
|
||||
if (!initialized) {
|
||||
memset(&rng, 0, sizeof(rng));
|
||||
isaacp_mix(&rng);
|
||||
isaacp_mix(&rng);
|
||||
initialized = 1;
|
||||
}
|
||||
|
||||
isaacp_random(&rng, p, len);
|
||||
}
|
||||
#elif defined(ED25519_CUSTOMRANDOM)
|
||||
|
||||
#include "ed25519-randombytes-custom.h"
|
||||
|
||||
#else
|
||||
|
||||
#include <openssl/rand.h>
|
||||
|
||||
void
|
||||
ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) {
|
||||
|
||||
RAND_bytes(p, (int) len);
|
||||
|
||||
}
|
||||
#endif
|
||||
@ -0,0 +1,150 @@
|
||||
/*
|
||||
Public domain by Andrew M. <liquidsun@gmail.com>
|
||||
|
||||
Ed25519 reference implementation using Ed25519-donna
|
||||
*/
|
||||
|
||||
|
||||
/* define ED25519_SUFFIX to have it appended to the end of each public function */
|
||||
#if !defined(ED25519_SUFFIX)
|
||||
#define ED25519_SUFFIX
|
||||
#endif
|
||||
|
||||
#define ED25519_FN3(fn,suffix) fn##suffix
|
||||
#define ED25519_FN2(fn,suffix) ED25519_FN3(fn,suffix)
|
||||
#define ED25519_FN(fn) ED25519_FN2(fn,ED25519_SUFFIX)
|
||||
|
||||
#include "ed25519-donna.h"
|
||||
#include "ed25519.h"
|
||||
#include "ed25519-randombytes.h"
|
||||
#include "ed25519-hash.h"
|
||||
|
||||
/*
|
||||
Generates a (extsk[0..31]) and aExt (extsk[32..63])
|
||||
*/
|
||||
|
||||
DONNA_INLINE static void
|
||||
ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) {
|
||||
ed25519_hash(extsk, sk, 32);
|
||||
extsk[0] &= 248;
|
||||
extsk[31] &= 127;
|
||||
extsk[31] |= 64;
|
||||
}
|
||||
|
||||
static void
|
||||
ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) {
|
||||
ed25519_hash_context ctx;
|
||||
ed25519_hash_init(&ctx);
|
||||
ed25519_hash_update(&ctx, RS, 32);
|
||||
ed25519_hash_update(&ctx, pk, 32);
|
||||
ed25519_hash_update(&ctx, m, mlen);
|
||||
ed25519_hash_final(&ctx, hram);
|
||||
}
|
||||
|
||||
void
|
||||
ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) {
|
||||
bignum256modm a;
|
||||
ge25519 ALIGN(16) A;
|
||||
hash_512bits extsk;
|
||||
|
||||
/* A = aB */
|
||||
ed25519_extsk(extsk, sk);
|
||||
expand256_modm(a, extsk, 32);
|
||||
ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a);
|
||||
ge25519_pack(pk, &A);
|
||||
}
|
||||
|
||||
|
||||
void
|
||||
ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) {
|
||||
ed25519_hash_context ctx;
|
||||
bignum256modm r, S, a;
|
||||
ge25519 ALIGN(16) R;
|
||||
hash_512bits extsk, hashr, hram;
|
||||
|
||||
ed25519_extsk(extsk, sk);
|
||||
|
||||
/* r = H(aExt[32..64], m) */
|
||||
ed25519_hash_init(&ctx);
|
||||
ed25519_hash_update(&ctx, extsk + 32, 32);
|
||||
ed25519_hash_update(&ctx, m, mlen);
|
||||
ed25519_hash_final(&ctx, hashr);
|
||||
expand256_modm(r, hashr, 64);
|
||||
|
||||
/* R = rB */
|
||||
ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r);
|
||||
ge25519_pack(RS, &R);
|
||||
|
||||
/* S = H(R,A,m).. */
|
||||
ed25519_hram(hram, RS, pk, m, mlen);
|
||||
expand256_modm(S, hram, 64);
|
||||
|
||||
/* S = H(R,A,m)a */
|
||||
expand256_modm(a, extsk, 32);
|
||||
mul256_modm(S, S, a);
|
||||
|
||||
/* S = (r + H(R,A,m)a) */
|
||||
add256_modm(S, S, r);
|
||||
|
||||
/* S = (r + H(R,A,m)a) mod L */
|
||||
contract256_modm(RS + 32, S);
|
||||
}
|
||||
|
||||
int
|
||||
ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) {
|
||||
ge25519 ALIGN(16) R, A;
|
||||
hash_512bits hash;
|
||||
bignum256modm hram, S;
|
||||
unsigned char checkR[32];
|
||||
|
||||
if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk))
|
||||
return -1;
|
||||
|
||||
/* hram = H(R,A,m) */
|
||||
ed25519_hram(hash, RS, pk, m, mlen);
|
||||
expand256_modm(hram, hash, 64);
|
||||
|
||||
/* S */
|
||||
expand256_modm(S, RS + 32, 32);
|
||||
|
||||
/* SB - H(R,A,m)A */
|
||||
ge25519_double_scalarmult_vartime(&R, &A, hram, S);
|
||||
ge25519_pack(checkR, &R);
|
||||
|
||||
/* check that R = SB - H(R,A,m)A */
|
||||
return ed25519_verify(RS, checkR, 32) ? 0 : -1;
|
||||
}
|
||||
|
||||
#include "ed25519-donna-batchverify.h"
|
||||
|
||||
/*
|
||||
Fast Curve25519 basepoint scalar multiplication
|
||||
*/
|
||||
|
||||
void
|
||||
ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) {
|
||||
curved25519_key ec;
|
||||
bignum256modm s;
|
||||
bignum25519 ALIGN(16) yplusz, zminusy;
|
||||
ge25519 ALIGN(16) p;
|
||||
size_t i;
|
||||
|
||||
/* clamp */
|
||||
for (i = 0; i < 32; i++) ec[i] = e[i];
|
||||
ec[0] &= 248;
|
||||
ec[31] &= 127;
|
||||
ec[31] |= 64;
|
||||
|
||||
expand_raw256_modm(s, ec);
|
||||
|
||||
/* scalar * basepoint */
|
||||
ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s);
|
||||
|
||||
/* u = (y + z) / (z - y) */
|
||||
curve25519_add(yplusz, p.y, p.z);
|
||||
curve25519_sub(zminusy, p.z, p.y);
|
||||
curve25519_recip(zminusy, zminusy);
|
||||
curve25519_mul(yplusz, yplusz, zminusy);
|
||||
curve25519_contract(pk, yplusz);
|
||||
}
|
||||
|
||||
@ -0,0 +1,30 @@
|
||||
#ifndef ED25519_H
|
||||
#define ED25519_H
|
||||
|
||||
#include <stdlib.h>
|
||||
|
||||
#if defined(__cplusplus)
|
||||
extern "C" {
|
||||
#endif
|
||||
|
||||
typedef unsigned char ed25519_signature[64];
|
||||
typedef unsigned char ed25519_public_key[32];
|
||||
typedef unsigned char ed25519_secret_key[32];
|
||||
|
||||
typedef unsigned char curved25519_key[32];
|
||||
|
||||
void ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk);
|
||||
int ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS);
|
||||
void ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS);
|
||||
|
||||
int ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid);
|
||||
|
||||
void ed25519_randombytes_unsafe(void *out, size_t count);
|
||||
|
||||
void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e);
|
||||
|
||||
#if defined(__cplusplus)
|
||||
}
|
||||
#endif
|
||||
|
||||
#endif // ED25519_H
|
||||
@ -0,0 +1,469 @@
|
||||
/*
|
||||
Public domain by Andrew M. <liquidsun@gmail.com>
|
||||
*/
|
||||
|
||||
|
||||
/*
|
||||
Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989
|
||||
|
||||
k = 32
|
||||
b = 1 << 8 = 256
|
||||
m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
|
||||
mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b
|
||||
*/
|
||||
|
||||
#define bignum256modm_bits_per_limb 30
|
||||
#define bignum256modm_limb_size 9
|
||||
|
||||
typedef uint32_t bignum256modm_element_t;
|
||||
typedef bignum256modm_element_t bignum256modm[9];
|
||||
|
||||
static const bignum256modm modm_m = {
|
||||
0x1cf5d3ed, 0x20498c69, 0x2f79cd65, 0x37be77a8,
|
||||
0x00000014, 0x00000000, 0x00000000, 0x00000000,
|
||||
0x00001000
|
||||
};
|
||||
|
||||
static const bignum256modm modm_mu = {
|
||||
0x0a2c131b, 0x3673968c, 0x06329a7e, 0x01885742,
|
||||
0x3fffeb21, 0x3fffffff, 0x3fffffff, 0x3fffffff,
|
||||
0x000fffff
|
||||
};
|
||||
|
||||
static bignum256modm_element_t
|
||||
lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) {
|
||||
return (a - b) >> 31;
|
||||
}
|
||||
|
||||
/* see HAC, Alg. 14.42 Step 4 */
|
||||
static void
|
||||
reduce256_modm(bignum256modm r) {
|
||||
bignum256modm t;
|
||||
bignum256modm_element_t b = 0, pb, mask;
|
||||
|
||||
/* t = r - m */
|
||||
pb = 0;
|
||||
pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[5]; b = lt_modm(r[5], pb); t[5] = (r[5] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[6]; b = lt_modm(r[6], pb); t[6] = (r[6] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[7]; b = lt_modm(r[7], pb); t[7] = (r[7] - pb + (b << 30)); pb = b;
|
||||
pb += modm_m[8]; b = lt_modm(r[8], pb); t[8] = (r[8] - pb + (b << 16));
|
||||
|
||||
/* keep r if r was smaller than m */
|
||||
mask = b - 1;
|
||||
r[0] ^= mask & (r[0] ^ t[0]);
|
||||
r[1] ^= mask & (r[1] ^ t[1]);
|
||||
r[2] ^= mask & (r[2] ^ t[2]);
|
||||
r[3] ^= mask & (r[3] ^ t[3]);
|
||||
r[4] ^= mask & (r[4] ^ t[4]);
|
||||
r[5] ^= mask & (r[5] ^ t[5]);
|
||||
r[6] ^= mask & (r[6] ^ t[6]);
|
||||
r[7] ^= mask & (r[7] ^ t[7]);
|
||||
r[8] ^= mask & (r[8] ^ t[8]);
|
||||
}
|
||||
|
||||
/*
|
||||
Barrett reduction, see HAC, Alg. 14.42
|
||||
|
||||
Instead of passing in x, pre-process in to q1 and r1 for efficiency
|
||||
*/
|
||||
static void
|
||||
barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) {
|
||||
bignum256modm q3, r2;
|
||||
uint64_t c;
|
||||
bignum256modm_element_t f, b, pb;
|
||||
|
||||
/* q1 = x >> 248 = 264 bits = 9 30 bit elements
|
||||
q2 = mu * q1
|
||||
q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */
|
||||
c = mul32x32_64(modm_mu[0], q1[7]) + mul32x32_64(modm_mu[1], q1[6]) + mul32x32_64(modm_mu[2], q1[5]) + mul32x32_64(modm_mu[3], q1[4]) + mul32x32_64(modm_mu[4], q1[3]) + mul32x32_64(modm_mu[5], q1[2]) + mul32x32_64(modm_mu[6], q1[1]) + mul32x32_64(modm_mu[7], q1[0]);
|
||||
c >>= 30;
|
||||
c += mul32x32_64(modm_mu[0], q1[8]) + mul32x32_64(modm_mu[1], q1[7]) + mul32x32_64(modm_mu[2], q1[6]) + mul32x32_64(modm_mu[3], q1[5]) + mul32x32_64(modm_mu[4], q1[4]) + mul32x32_64(modm_mu[5], q1[3]) + mul32x32_64(modm_mu[6], q1[2]) + mul32x32_64(modm_mu[7], q1[1]) + mul32x32_64(modm_mu[8], q1[0]);
|
||||
f = (bignum256modm_element_t)c; q3[0] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[1], q1[8]) + mul32x32_64(modm_mu[2], q1[7]) + mul32x32_64(modm_mu[3], q1[6]) + mul32x32_64(modm_mu[4], q1[5]) + mul32x32_64(modm_mu[5], q1[4]) + mul32x32_64(modm_mu[6], q1[3]) + mul32x32_64(modm_mu[7], q1[2]) + mul32x32_64(modm_mu[8], q1[1]);
|
||||
f = (bignum256modm_element_t)c; q3[0] |= (f << 6) & 0x3fffffff; q3[1] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[2], q1[8]) + mul32x32_64(modm_mu[3], q1[7]) + mul32x32_64(modm_mu[4], q1[6]) + mul32x32_64(modm_mu[5], q1[5]) + mul32x32_64(modm_mu[6], q1[4]) + mul32x32_64(modm_mu[7], q1[3]) + mul32x32_64(modm_mu[8], q1[2]);
|
||||
f = (bignum256modm_element_t)c; q3[1] |= (f << 6) & 0x3fffffff; q3[2] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[3], q1[8]) + mul32x32_64(modm_mu[4], q1[7]) + mul32x32_64(modm_mu[5], q1[6]) + mul32x32_64(modm_mu[6], q1[5]) + mul32x32_64(modm_mu[7], q1[4]) + mul32x32_64(modm_mu[8], q1[3]);
|
||||
f = (bignum256modm_element_t)c; q3[2] |= (f << 6) & 0x3fffffff; q3[3] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[4], q1[8]) + mul32x32_64(modm_mu[5], q1[7]) + mul32x32_64(modm_mu[6], q1[6]) + mul32x32_64(modm_mu[7], q1[5]) + mul32x32_64(modm_mu[8], q1[4]);
|
||||
f = (bignum256modm_element_t)c; q3[3] |= (f << 6) & 0x3fffffff; q3[4] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[5], q1[8]) + mul32x32_64(modm_mu[6], q1[7]) + mul32x32_64(modm_mu[7], q1[6]) + mul32x32_64(modm_mu[8], q1[5]);
|
||||
f = (bignum256modm_element_t)c; q3[4] |= (f << 6) & 0x3fffffff; q3[5] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[6], q1[8]) + mul32x32_64(modm_mu[7], q1[7]) + mul32x32_64(modm_mu[8], q1[6]);
|
||||
f = (bignum256modm_element_t)c; q3[5] |= (f << 6) & 0x3fffffff; q3[6] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[7], q1[8]) + mul32x32_64(modm_mu[8], q1[7]);
|
||||
f = (bignum256modm_element_t)c; q3[6] |= (f << 6) & 0x3fffffff; q3[7] = (f >> 24) & 0x3f; c >>= 30;
|
||||
c += mul32x32_64(modm_mu[8], q1[8]);
|
||||
f = (bignum256modm_element_t)c; q3[7] |= (f << 6) & 0x3fffffff; q3[8] = (bignum256modm_element_t)(c >> 24);
|
||||
|
||||
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
|
||||
r2 = (q3 * m) mod (256^(32+1)) = (q3 * m) & ((1 << 264) - 1) */
|
||||
c = mul32x32_64(modm_m[0], q3[0]);
|
||||
r2[0] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[1]) + mul32x32_64(modm_m[1], q3[0]);
|
||||
r2[1] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[2]) + mul32x32_64(modm_m[1], q3[1]) + mul32x32_64(modm_m[2], q3[0]);
|
||||
r2[2] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[3]) + mul32x32_64(modm_m[1], q3[2]) + mul32x32_64(modm_m[2], q3[1]) + mul32x32_64(modm_m[3], q3[0]);
|
||||
r2[3] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[4]) + mul32x32_64(modm_m[1], q3[3]) + mul32x32_64(modm_m[2], q3[2]) + mul32x32_64(modm_m[3], q3[1]) + mul32x32_64(modm_m[4], q3[0]);
|
||||
r2[4] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[5]) + mul32x32_64(modm_m[1], q3[4]) + mul32x32_64(modm_m[2], q3[3]) + mul32x32_64(modm_m[3], q3[2]) + mul32x32_64(modm_m[4], q3[1]) + mul32x32_64(modm_m[5], q3[0]);
|
||||
r2[5] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[6]) + mul32x32_64(modm_m[1], q3[5]) + mul32x32_64(modm_m[2], q3[4]) + mul32x32_64(modm_m[3], q3[3]) + mul32x32_64(modm_m[4], q3[2]) + mul32x32_64(modm_m[5], q3[1]) + mul32x32_64(modm_m[6], q3[0]);
|
||||
r2[6] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[7]) + mul32x32_64(modm_m[1], q3[6]) + mul32x32_64(modm_m[2], q3[5]) + mul32x32_64(modm_m[3], q3[4]) + mul32x32_64(modm_m[4], q3[3]) + mul32x32_64(modm_m[5], q3[2]) + mul32x32_64(modm_m[6], q3[1]) + mul32x32_64(modm_m[7], q3[0]);
|
||||
r2[7] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(modm_m[0], q3[8]) + mul32x32_64(modm_m[1], q3[7]) + mul32x32_64(modm_m[2], q3[6]) + mul32x32_64(modm_m[3], q3[5]) + mul32x32_64(modm_m[4], q3[4]) + mul32x32_64(modm_m[5], q3[3]) + mul32x32_64(modm_m[6], q3[2]) + mul32x32_64(modm_m[7], q3[1]) + mul32x32_64(modm_m[8], q3[0]);
|
||||
r2[8] = (bignum256modm_element_t)(c & 0xffffff);
|
||||
|
||||
/* r = r1 - r2
|
||||
if (r < 0) r += (1 << 264) */
|
||||
pb = 0;
|
||||
pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 30)); pb = b;
|
||||
pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 30)); pb = b;
|
||||
pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 30)); pb = b;
|
||||
pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 30)); pb = b;
|
||||
pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 30)); pb = b;
|
||||
pb += r2[5]; b = lt_modm(r1[5], pb); r[5] = (r1[5] - pb + (b << 30)); pb = b;
|
||||
pb += r2[6]; b = lt_modm(r1[6], pb); r[6] = (r1[6] - pb + (b << 30)); pb = b;
|
||||
pb += r2[7]; b = lt_modm(r1[7], pb); r[7] = (r1[7] - pb + (b << 30)); pb = b;
|
||||
pb += r2[8]; b = lt_modm(r1[8], pb); r[8] = (r1[8] - pb + (b << 24));
|
||||
|
||||
reduce256_modm(r);
|
||||
reduce256_modm(r);
|
||||
}
|
||||
|
||||
/* addition modulo m */
|
||||
static void
|
||||
add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
|
||||
bignum256modm_element_t c;
|
||||
|
||||
c = x[0] + y[0]; r[0] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[1] + y[1]; r[1] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[2] + y[2]; r[2] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[3] + y[3]; r[3] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[4] + y[4]; r[4] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[5] + y[5]; r[5] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[6] + y[6]; r[6] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[7] + y[7]; r[7] = c & 0x3fffffff; c >>= 30;
|
||||
c += x[8] + y[8]; r[8] = c;
|
||||
|
||||
reduce256_modm(r);
|
||||
}
|
||||
|
||||
/* multiplication modulo m */
|
||||
static void
|
||||
mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
|
||||
bignum256modm r1, q1;
|
||||
uint64_t c;
|
||||
bignum256modm_element_t f;
|
||||
|
||||
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
|
||||
q1 = x >> 248 = 264 bits = 9 30 bit elements */
|
||||
c = mul32x32_64(x[0], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[0] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[1]) + mul32x32_64(x[1], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[1] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[2]) + mul32x32_64(x[1], y[1]) + mul32x32_64(x[2], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[2] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[3]) + mul32x32_64(x[1], y[2]) + mul32x32_64(x[2], y[1]) + mul32x32_64(x[3], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[3] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[4]) + mul32x32_64(x[1], y[3]) + mul32x32_64(x[2], y[2]) + mul32x32_64(x[3], y[1]) + mul32x32_64(x[4], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[4] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[5]) + mul32x32_64(x[1], y[4]) + mul32x32_64(x[2], y[3]) + mul32x32_64(x[3], y[2]) + mul32x32_64(x[4], y[1]) + mul32x32_64(x[5], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[5] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[6]) + mul32x32_64(x[1], y[5]) + mul32x32_64(x[2], y[4]) + mul32x32_64(x[3], y[3]) + mul32x32_64(x[4], y[2]) + mul32x32_64(x[5], y[1]) + mul32x32_64(x[6], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[6] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[7]) + mul32x32_64(x[1], y[6]) + mul32x32_64(x[2], y[5]) + mul32x32_64(x[3], y[4]) + mul32x32_64(x[4], y[3]) + mul32x32_64(x[5], y[2]) + mul32x32_64(x[6], y[1]) + mul32x32_64(x[7], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[7] = (f & 0x3fffffff); c >>= 30;
|
||||
c += mul32x32_64(x[0], y[8]) + mul32x32_64(x[1], y[7]) + mul32x32_64(x[2], y[6]) + mul32x32_64(x[3], y[5]) + mul32x32_64(x[4], y[4]) + mul32x32_64(x[5], y[3]) + mul32x32_64(x[6], y[2]) + mul32x32_64(x[7], y[1]) + mul32x32_64(x[8], y[0]);
|
||||
f = (bignum256modm_element_t)c; r1[8] = (f & 0x00ffffff); q1[0] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[1], y[8]) + mul32x32_64(x[2], y[7]) + mul32x32_64(x[3], y[6]) + mul32x32_64(x[4], y[5]) + mul32x32_64(x[5], y[4]) + mul32x32_64(x[6], y[3]) + mul32x32_64(x[7], y[2]) + mul32x32_64(x[8], y[1]);
|
||||
f = (bignum256modm_element_t)c; q1[0] = (q1[0] | (f << 22)) & 0x3fffffff; q1[1] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[2], y[8]) + mul32x32_64(x[3], y[7]) + mul32x32_64(x[4], y[6]) + mul32x32_64(x[5], y[5]) + mul32x32_64(x[6], y[4]) + mul32x32_64(x[7], y[3]) + mul32x32_64(x[8], y[2]);
|
||||
f = (bignum256modm_element_t)c; q1[1] = (q1[1] | (f << 22)) & 0x3fffffff; q1[2] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[3], y[8]) + mul32x32_64(x[4], y[7]) + mul32x32_64(x[5], y[6]) + mul32x32_64(x[6], y[5]) + mul32x32_64(x[7], y[4]) + mul32x32_64(x[8], y[3]);
|
||||
f = (bignum256modm_element_t)c; q1[2] = (q1[2] | (f << 22)) & 0x3fffffff; q1[3] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[4], y[8]) + mul32x32_64(x[5], y[7]) + mul32x32_64(x[6], y[6]) + mul32x32_64(x[7], y[5]) + mul32x32_64(x[8], y[4]);
|
||||
f = (bignum256modm_element_t)c; q1[3] = (q1[3] | (f << 22)) & 0x3fffffff; q1[4] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[5], y[8]) + mul32x32_64(x[6], y[7]) + mul32x32_64(x[7], y[6]) + mul32x32_64(x[8], y[5]);
|
||||
f = (bignum256modm_element_t)c; q1[4] = (q1[4] | (f << 22)) & 0x3fffffff; q1[5] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[6], y[8]) + mul32x32_64(x[7], y[7]) + mul32x32_64(x[8], y[6]);
|
||||
f = (bignum256modm_element_t)c; q1[5] = (q1[5] | (f << 22)) & 0x3fffffff; q1[6] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[7], y[8]) + mul32x32_64(x[8], y[7]);
|
||||
f = (bignum256modm_element_t)c; q1[6] = (q1[6] | (f << 22)) & 0x3fffffff; q1[7] = (f >> 8) & 0x3fffff; c >>= 30;
|
||||
c += mul32x32_64(x[8], y[8]);
|
||||
f = (bignum256modm_element_t)c; q1[7] = (q1[7] | (f << 22)) & 0x3fffffff; q1[8] = (f >> 8) & 0x3fffff;
|
||||
|
||||
barrett_reduce256_modm(r, q1, r1);
|
||||
}
|
||||
|
||||
static void
|
||||
expand256_modm(bignum256modm out, const unsigned char *in, size_t len) {
|
||||
unsigned char work[64] = {0};
|
||||
bignum256modm_element_t x[16];
|
||||
bignum256modm q1;
|
||||
|
||||
memcpy(work, in, len);
|
||||
x[0] = U8TO32_LE(work + 0);
|
||||
x[1] = U8TO32_LE(work + 4);
|
||||
x[2] = U8TO32_LE(work + 8);
|
||||
x[3] = U8TO32_LE(work + 12);
|
||||
x[4] = U8TO32_LE(work + 16);
|
||||
x[5] = U8TO32_LE(work + 20);
|
||||
x[6] = U8TO32_LE(work + 24);
|
||||
x[7] = U8TO32_LE(work + 28);
|
||||
x[8] = U8TO32_LE(work + 32);
|
||||
x[9] = U8TO32_LE(work + 36);
|
||||
x[10] = U8TO32_LE(work + 40);
|
||||
x[11] = U8TO32_LE(work + 44);
|
||||
x[12] = U8TO32_LE(work + 48);
|
||||
x[13] = U8TO32_LE(work + 52);
|
||||
x[14] = U8TO32_LE(work + 56);
|
||||
x[15] = U8TO32_LE(work + 60);
|
||||
|
||||
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */
|
||||
out[0] = ( x[0]) & 0x3fffffff;
|
||||
out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff;
|
||||
out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff;
|
||||
out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff;
|
||||
out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff;
|
||||
out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
|
||||
out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
|
||||
out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
|
||||
out[8] = ((x[ 7] >> 16) | (x[ 8] << 16)) & 0x00ffffff;
|
||||
|
||||
/* 8*31 = 248 bits, no need to reduce */
|
||||
if (len < 32)
|
||||
return;
|
||||
|
||||
/* q1 = x >> 248 = 264 bits = 9 30 bit elements */
|
||||
q1[0] = ((x[ 7] >> 24) | (x[ 8] << 8)) & 0x3fffffff;
|
||||
q1[1] = ((x[ 8] >> 22) | (x[ 9] << 10)) & 0x3fffffff;
|
||||
q1[2] = ((x[ 9] >> 20) | (x[10] << 12)) & 0x3fffffff;
|
||||
q1[3] = ((x[10] >> 18) | (x[11] << 14)) & 0x3fffffff;
|
||||
q1[4] = ((x[11] >> 16) | (x[12] << 16)) & 0x3fffffff;
|
||||
q1[5] = ((x[12] >> 14) | (x[13] << 18)) & 0x3fffffff;
|
||||
q1[6] = ((x[13] >> 12) | (x[14] << 20)) & 0x3fffffff;
|
||||
q1[7] = ((x[14] >> 10) | (x[15] << 22)) & 0x3fffffff;
|
||||
q1[8] = ((x[15] >> 8) );
|
||||
|
||||
barrett_reduce256_modm(out, q1, out);
|
||||
}
|
||||
|
||||
static void
|
||||
expand_raw256_modm(bignum256modm out, const unsigned char in[32]) {
|
||||
bignum256modm_element_t x[8];
|
||||
|
||||
x[0] = U8TO32_LE(in + 0);
|
||||
x[1] = U8TO32_LE(in + 4);
|
||||
x[2] = U8TO32_LE(in + 8);
|
||||
x[3] = U8TO32_LE(in + 12);
|
||||
x[4] = U8TO32_LE(in + 16);
|
||||
x[5] = U8TO32_LE(in + 20);
|
||||
x[6] = U8TO32_LE(in + 24);
|
||||
x[7] = U8TO32_LE(in + 28);
|
||||
|
||||
out[0] = ( x[0]) & 0x3fffffff;
|
||||
out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff;
|
||||
out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff;
|
||||
out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff;
|
||||
out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff;
|
||||
out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
|
||||
out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
|
||||
out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
|
||||
out[8] = ((x[ 7] >> 16) ) & 0x0000ffff;
|
||||
}
|
||||
|
||||
static void
|
||||
contract256_modm(unsigned char out[32], const bignum256modm in) {
|
||||
U32TO8_LE(out + 0, (in[0] ) | (in[1] << 30));
|
||||
U32TO8_LE(out + 4, (in[1] >> 2) | (in[2] << 28));
|
||||
U32TO8_LE(out + 8, (in[2] >> 4) | (in[3] << 26));
|
||||
U32TO8_LE(out + 12, (in[3] >> 6) | (in[4] << 24));
|
||||
U32TO8_LE(out + 16, (in[4] >> 8) | (in[5] << 22));
|
||||
U32TO8_LE(out + 20, (in[5] >> 10) | (in[6] << 20));
|
||||
U32TO8_LE(out + 24, (in[6] >> 12) | (in[7] << 18));
|
||||
U32TO8_LE(out + 28, (in[7] >> 14) | (in[8] << 16));
|
||||
}
|
||||
|
||||
|
||||
|
||||
static void
|
||||
contract256_window4_modm(signed char r[64], const bignum256modm in) {
|
||||
char carry;
|
||||
signed char *quads = r;
|
||||
bignum256modm_element_t i, j, v;
|
||||
|
||||
for (i = 0; i < 8; i += 2) {
|
||||
v = in[i];
|
||||
for (j = 0; j < 7; j++) {
|
||||
*quads++ = (v & 15);
|
||||
v >>= 4;
|
||||
}
|
||||
v |= (in[i+1] << 2);
|
||||
for (j = 0; j < 8; j++) {
|
||||
*quads++ = (v & 15);
|
||||
v >>= 4;
|
||||
}
|
||||
}
|
||||
v = in[8];
|
||||
*quads++ = (v & 15); v >>= 4;
|
||||
*quads++ = (v & 15); v >>= 4;
|
||||
*quads++ = (v & 15); v >>= 4;
|
||||
*quads++ = (v & 15); v >>= 4;
|
||||
|
||||
/* making it signed */
|
||||
carry = 0;
|
||||
for(i = 0; i < 63; i++) {
|
||||
r[i] += carry;
|
||||
r[i+1] += (r[i] >> 4);
|
||||
r[i] &= 15;
|
||||
carry = (r[i] >> 3);
|
||||
r[i] -= (carry << 4);
|
||||
}
|
||||
r[63] += carry;
|
||||
}
|
||||
|
||||
static void
|
||||
contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) {
|
||||
int i,j,k,b;
|
||||
int m = (1 << (windowsize - 1)) - 1, soplen = 256;
|
||||
signed char *bits = r;
|
||||
bignum256modm_element_t v;
|
||||
|
||||
/* first put the binary expansion into r */
|
||||
for (i = 0; i < 8; i++) {
|
||||
v = s[i];
|
||||
for (j = 0; j < 30; j++, v >>= 1)
|
||||
*bits++ = (v & 1);
|
||||
}
|
||||
v = s[8];
|
||||
for (j = 0; j < 16; j++, v >>= 1)
|
||||
*bits++ = (v & 1);
|
||||
|
||||
/* Making it sliding window */
|
||||
for (j = 0; j < soplen; j++) {
|
||||
if (!r[j])
|
||||
continue;
|
||||
|
||||
for (b = 1; (b < (soplen - j)) && (b <= 6); b++) {
|
||||
if ((r[j] + (r[j + b] << b)) <= m) {
|
||||
r[j] += r[j + b] << b;
|
||||
r[j + b] = 0;
|
||||
} else if ((r[j] - (r[j + b] << b)) >= -m) {
|
||||
r[j] -= r[j + b] << b;
|
||||
for (k = j + b; k < soplen; k++) {
|
||||
if (!r[k]) {
|
||||
r[k] = 1;
|
||||
break;
|
||||
}
|
||||
r[k] = 0;
|
||||
}
|
||||
} else if (r[j + b]) {
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
helpers for batch verifcation, are allowed to be vartime
|
||||
*/
|
||||
|
||||
/* out = a - b, a must be larger than b */
|
||||
static void
|
||||
sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
size_t i = 0;
|
||||
bignum256modm_element_t carry = 0;
|
||||
switch (limbsize) {
|
||||
case 8: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 7: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 6: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 5: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 4: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
|
||||
case 0:
|
||||
default: out[i] = (a[i] - b[i]) - carry;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
/* is a < b */
|
||||
static int
|
||||
lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
switch (limbsize) {
|
||||
case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
|
||||
case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
|
||||
case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
|
||||
case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
|
||||
case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
|
||||
case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
|
||||
case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
|
||||
case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
|
||||
case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
/* is a <= b */
|
||||
static int
|
||||
lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
switch (limbsize) {
|
||||
case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
|
||||
case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
|
||||
case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
|
||||
case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
|
||||
case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
|
||||
case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
|
||||
case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
|
||||
case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
|
||||
case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
/* is a == 0 */
|
||||
static int
|
||||
iszero256_modm_batch(const bignum256modm a) {
|
||||
size_t i;
|
||||
for (i = 0; i < 9; i++)
|
||||
if (a[i])
|
||||
return 0;
|
||||
return 1;
|
||||
}
|
||||
|
||||
/* is a == 1 */
|
||||
static int
|
||||
isone256_modm_batch(const bignum256modm a) {
|
||||
size_t i;
|
||||
if (a[0] != 1)
|
||||
return 0;
|
||||
for (i = 1; i < 9; i++)
|
||||
if (a[i])
|
||||
return 0;
|
||||
return 1;
|
||||
}
|
||||
|
||||
/* can a fit in to (at most) 128 bits */
|
||||
static int
|
||||
isatmost128bits256_modm_batch(const bignum256modm a) {
|
||||
uint32_t mask =
|
||||
((a[8] ) | /* 16 */
|
||||
(a[7] ) | /* 46 */
|
||||
(a[6] ) | /* 76 */
|
||||
(a[5] ) | /* 106 */
|
||||
(a[4] & 0x3fffff00)); /* 128 */
|
||||
|
||||
return (mask == 0);
|
||||
}
|
||||
@ -0,0 +1,361 @@
|
||||
/*
|
||||
Public domain by Andrew M. <liquidsun@gmail.com>
|
||||
*/
|
||||
|
||||
|
||||
/*
|
||||
Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989
|
||||
|
||||
k = 32
|
||||
b = 1 << 8 = 256
|
||||
m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
|
||||
mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b
|
||||
*/
|
||||
|
||||
#define bignum256modm_bits_per_limb 56
|
||||
#define bignum256modm_limb_size 5
|
||||
|
||||
typedef uint64_t bignum256modm_element_t;
|
||||
typedef bignum256modm_element_t bignum256modm[5];
|
||||
|
||||
static const bignum256modm modm_m = {
|
||||
0x12631a5cf5d3ed,
|
||||
0xf9dea2f79cd658,
|
||||
0x000000000014de,
|
||||
0x00000000000000,
|
||||
0x00000010000000
|
||||
};
|
||||
|
||||
static const bignum256modm modm_mu = {
|
||||
0x9ce5a30a2c131b,
|
||||
0x215d086329a7ed,
|
||||
0xffffffffeb2106,
|
||||
0xffffffffffffff,
|
||||
0x00000fffffffff
|
||||
};
|
||||
|
||||
static bignum256modm_element_t
|
||||
lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) {
|
||||
return (a - b) >> 63;
|
||||
}
|
||||
|
||||
static void
|
||||
reduce256_modm(bignum256modm r) {
|
||||
bignum256modm t;
|
||||
bignum256modm_element_t b = 0, pb, mask;
|
||||
|
||||
/* t = r - m */
|
||||
pb = 0;
|
||||
pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 56)); pb = b;
|
||||
pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 56)); pb = b;
|
||||
pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 56)); pb = b;
|
||||
pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 56)); pb = b;
|
||||
pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 32));
|
||||
|
||||
/* keep r if r was smaller than m */
|
||||
mask = b - 1;
|
||||
|
||||
r[0] ^= mask & (r[0] ^ t[0]);
|
||||
r[1] ^= mask & (r[1] ^ t[1]);
|
||||
r[2] ^= mask & (r[2] ^ t[2]);
|
||||
r[3] ^= mask & (r[3] ^ t[3]);
|
||||
r[4] ^= mask & (r[4] ^ t[4]);
|
||||
}
|
||||
|
||||
static void
|
||||
barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) {
|
||||
bignum256modm q3, r2;
|
||||
uint128_t c, mul;
|
||||
bignum256modm_element_t f, b, pb;
|
||||
|
||||
/* q1 = x >> 248 = 264 bits = 5 56 bit elements
|
||||
q2 = mu * q1
|
||||
q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */
|
||||
mul64x64_128(c, modm_mu[0], q1[3]) mul64x64_128(mul, modm_mu[3], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[2]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[1]) add128(c, mul) shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_mu[0], q1[4]) add128_64(c, f) mul64x64_128(mul, modm_mu[4], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[1]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[2]) add128(c, mul)
|
||||
f = lo128(c); q3[0] = (f >> 40) & 0xffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_mu[4], q1[1]) add128_64(c, f) mul64x64_128(mul, modm_mu[1], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[2]) add128(c, mul)
|
||||
f = lo128(c); q3[0] |= (f << 16) & 0xffffffffffffff; q3[1] = (f >> 40) & 0xffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_mu[4], q1[2]) add128_64(c, f) mul64x64_128(mul, modm_mu[2], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[3]) add128(c, mul)
|
||||
f = lo128(c); q3[1] |= (f << 16) & 0xffffffffffffff; q3[2] = (f >> 40) & 0xffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_mu[4], q1[3]) add128_64(c, f) mul64x64_128(mul, modm_mu[3], q1[4]) add128(c, mul)
|
||||
f = lo128(c); q3[2] |= (f << 16) & 0xffffffffffffff; q3[3] = (f >> 40) & 0xffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_mu[4], q1[4]) add128_64(c, f)
|
||||
f = lo128(c); q3[3] |= (f << 16) & 0xffffffffffffff; q3[4] = (f >> 40) & 0xffff; shr128(f, c, 56);
|
||||
q3[4] |= (f << 16);
|
||||
|
||||
mul64x64_128(c, modm_m[0], q3[0])
|
||||
r2[0] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_m[0], q3[1]) add128_64(c, f) mul64x64_128(mul, modm_m[1], q3[0]) add128(c, mul)
|
||||
r2[1] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_m[0], q3[2]) add128_64(c, f) mul64x64_128(mul, modm_m[2], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[1]) add128(c, mul)
|
||||
r2[2] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_m[0], q3[3]) add128_64(c, f) mul64x64_128(mul, modm_m[3], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[2]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[1]) add128(c, mul)
|
||||
r2[3] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, modm_m[0], q3[4]) add128_64(c, f) mul64x64_128(mul, modm_m[4], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[3], q3[1]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[3]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[2]) add128(c, mul)
|
||||
r2[4] = lo128(c) & 0x0000ffffffffff;
|
||||
|
||||
pb = 0;
|
||||
pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 56)); pb = b;
|
||||
pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 56)); pb = b;
|
||||
pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 56)); pb = b;
|
||||
pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 56)); pb = b;
|
||||
pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 40));
|
||||
|
||||
reduce256_modm(r);
|
||||
reduce256_modm(r);
|
||||
}
|
||||
|
||||
|
||||
static void
|
||||
add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
|
||||
bignum256modm_element_t c;
|
||||
|
||||
c = x[0] + y[0]; r[0] = c & 0xffffffffffffff; c >>= 56;
|
||||
c += x[1] + y[1]; r[1] = c & 0xffffffffffffff; c >>= 56;
|
||||
c += x[2] + y[2]; r[2] = c & 0xffffffffffffff; c >>= 56;
|
||||
c += x[3] + y[3]; r[3] = c & 0xffffffffffffff; c >>= 56;
|
||||
c += x[4] + y[4]; r[4] = c;
|
||||
|
||||
reduce256_modm(r);
|
||||
}
|
||||
|
||||
static void
|
||||
mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
|
||||
bignum256modm q1, r1;
|
||||
uint128_t c, mul;
|
||||
bignum256modm_element_t f;
|
||||
|
||||
mul64x64_128(c, x[0], y[0])
|
||||
f = lo128(c); r1[0] = f & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[0], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[0]) add128(c, mul)
|
||||
f = lo128(c); r1[1] = f & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[0], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[1]) add128(c, mul)
|
||||
f = lo128(c); r1[2] = f & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[0], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[2]) add128(c, mul) mul64x64_128(mul, x[2], y[1]) add128(c, mul)
|
||||
f = lo128(c); r1[3] = f & 0xffffffffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[0], y[4]) add128_64(c, f) mul64x64_128(mul, x[4], y[0]) add128(c, mul) mul64x64_128(mul, x[3], y[1]) add128(c, mul) mul64x64_128(mul, x[1], y[3]) add128(c, mul) mul64x64_128(mul, x[2], y[2]) add128(c, mul)
|
||||
f = lo128(c); r1[4] = f & 0x0000ffffffffff; q1[0] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[4], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[4]) add128(c, mul) mul64x64_128(mul, x[2], y[3]) add128(c, mul) mul64x64_128(mul, x[3], y[2]) add128(c, mul)
|
||||
f = lo128(c); q1[0] |= (f << 32) & 0xffffffffffffff; q1[1] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[4], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[4]) add128(c, mul) mul64x64_128(mul, x[3], y[3]) add128(c, mul)
|
||||
f = lo128(c); q1[1] |= (f << 32) & 0xffffffffffffff; q1[2] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[4], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[4]) add128(c, mul)
|
||||
f = lo128(c); q1[2] |= (f << 32) & 0xffffffffffffff; q1[3] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
|
||||
mul64x64_128(c, x[4], y[4]) add128_64(c, f)
|
||||
f = lo128(c); q1[3] |= (f << 32) & 0xffffffffffffff; q1[4] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
|
||||
q1[4] |= (f << 32);
|
||||
|
||||
barrett_reduce256_modm(r, q1, r1);
|
||||
}
|
||||
|
||||
static void
|
||||
expand256_modm(bignum256modm out, const unsigned char *in, size_t len) {
|
||||
unsigned char work[64] = {0};
|
||||
bignum256modm_element_t x[16];
|
||||
bignum256modm q1;
|
||||
|
||||
memcpy(work, in, len);
|
||||
x[0] = U8TO64_LE(work + 0);
|
||||
x[1] = U8TO64_LE(work + 8);
|
||||
x[2] = U8TO64_LE(work + 16);
|
||||
x[3] = U8TO64_LE(work + 24);
|
||||
x[4] = U8TO64_LE(work + 32);
|
||||
x[5] = U8TO64_LE(work + 40);
|
||||
x[6] = U8TO64_LE(work + 48);
|
||||
x[7] = U8TO64_LE(work + 56);
|
||||
|
||||
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */
|
||||
out[0] = ( x[0]) & 0xffffffffffffff;
|
||||
out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff;
|
||||
out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff;
|
||||
out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff;
|
||||
out[4] = ((x[ 3] >> 32) | (x[ 4] << 32)) & 0x0000ffffffffff;
|
||||
|
||||
/* under 252 bits, no need to reduce */
|
||||
if (len < 32)
|
||||
return;
|
||||
|
||||
/* q1 = x >> 248 = 264 bits */
|
||||
q1[0] = ((x[ 3] >> 56) | (x[ 4] << 8)) & 0xffffffffffffff;
|
||||
q1[1] = ((x[ 4] >> 48) | (x[ 5] << 16)) & 0xffffffffffffff;
|
||||
q1[2] = ((x[ 5] >> 40) | (x[ 6] << 24)) & 0xffffffffffffff;
|
||||
q1[3] = ((x[ 6] >> 32) | (x[ 7] << 32)) & 0xffffffffffffff;
|
||||
q1[4] = ((x[ 7] >> 24) );
|
||||
|
||||
barrett_reduce256_modm(out, q1, out);
|
||||
}
|
||||
|
||||
static void
|
||||
expand_raw256_modm(bignum256modm out, const unsigned char in[32]) {
|
||||
bignum256modm_element_t x[4];
|
||||
|
||||
x[0] = U8TO64_LE(in + 0);
|
||||
x[1] = U8TO64_LE(in + 8);
|
||||
x[2] = U8TO64_LE(in + 16);
|
||||
x[3] = U8TO64_LE(in + 24);
|
||||
|
||||
out[0] = ( x[0]) & 0xffffffffffffff;
|
||||
out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff;
|
||||
out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff;
|
||||
out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff;
|
||||
out[4] = ((x[ 3] >> 32) ) & 0x000000ffffffff;
|
||||
}
|
||||
|
||||
static void
|
||||
contract256_modm(unsigned char out[32], const bignum256modm in) {
|
||||
U64TO8_LE(out + 0, (in[0] ) | (in[1] << 56));
|
||||
U64TO8_LE(out + 8, (in[1] >> 8) | (in[2] << 48));
|
||||
U64TO8_LE(out + 16, (in[2] >> 16) | (in[3] << 40));
|
||||
U64TO8_LE(out + 24, (in[3] >> 24) | (in[4] << 32));
|
||||
}
|
||||
|
||||
static void
|
||||
contract256_window4_modm(signed char r[64], const bignum256modm in) {
|
||||
char carry;
|
||||
signed char *quads = r;
|
||||
bignum256modm_element_t i, j, v, m;
|
||||
|
||||
for (i = 0; i < 5; i++) {
|
||||
v = in[i];
|
||||
m = (i == 4) ? 8 : 14;
|
||||
for (j = 0; j < m; j++) {
|
||||
*quads++ = (v & 15);
|
||||
v >>= 4;
|
||||
}
|
||||
}
|
||||
|
||||
/* making it signed */
|
||||
carry = 0;
|
||||
for(i = 0; i < 63; i++) {
|
||||
r[i] += carry;
|
||||
r[i+1] += (r[i] >> 4);
|
||||
r[i] &= 15;
|
||||
carry = (r[i] >> 3);
|
||||
r[i] -= (carry << 4);
|
||||
}
|
||||
r[63] += carry;
|
||||
}
|
||||
|
||||
static void
|
||||
contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) {
|
||||
int i,j,k,b;
|
||||
int m = (1 << (windowsize - 1)) - 1, soplen = 256;
|
||||
signed char *bits = r;
|
||||
bignum256modm_element_t v;
|
||||
|
||||
/* first put the binary expansion into r */
|
||||
for (i = 0; i < 4; i++) {
|
||||
v = s[i];
|
||||
for (j = 0; j < 56; j++, v >>= 1)
|
||||
*bits++ = (v & 1);
|
||||
}
|
||||
v = s[4];
|
||||
for (j = 0; j < 32; j++, v >>= 1)
|
||||
*bits++ = (v & 1);
|
||||
|
||||
/* Making it sliding window */
|
||||
for (j = 0; j < soplen; j++) {
|
||||
if (!r[j])
|
||||
continue;
|
||||
|
||||
for (b = 1; (b < (soplen - j)) && (b <= 6); b++) {
|
||||
if ((r[j] + (r[j + b] << b)) <= m) {
|
||||
r[j] += r[j + b] << b;
|
||||
r[j + b] = 0;
|
||||
} else if ((r[j] - (r[j + b] << b)) >= -m) {
|
||||
r[j] -= r[j + b] << b;
|
||||
for (k = j + b; k < soplen; k++) {
|
||||
if (!r[k]) {
|
||||
r[k] = 1;
|
||||
break;
|
||||
}
|
||||
r[k] = 0;
|
||||
}
|
||||
} else if (r[j + b]) {
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/*
|
||||
helpers for batch verifcation, are allowed to be vartime
|
||||
*/
|
||||
|
||||
/* out = a - b, a must be larger than b */
|
||||
static void
|
||||
sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
size_t i = 0;
|
||||
bignum256modm_element_t carry = 0;
|
||||
switch (limbsize) {
|
||||
case 4: out[i] = (a[i] - b[i]) ; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
|
||||
case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
|
||||
case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
|
||||
case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
|
||||
case 0:
|
||||
default: out[i] = (a[i] - b[i]) - carry;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
/* is a < b */
|
||||
static int
|
||||
lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
size_t i = 0;
|
||||
bignum256modm_element_t t, carry = 0;
|
||||
switch (limbsize) {
|
||||
case 4: t = (a[i] - b[i]) ; carry = (t >> 63); i++;
|
||||
case 3: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
|
||||
case 2: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
|
||||
case 1: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
|
||||
case 0: t = (a[i] - b[i]) - carry; carry = (t >> 63);
|
||||
}
|
||||
return (int)carry;
|
||||
}
|
||||
|
||||
/* is a <= b */
|
||||
static int
|
||||
lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
|
||||
size_t i = 0;
|
||||
bignum256modm_element_t t, carry = 0;
|
||||
switch (limbsize) {
|
||||
case 4: t = (b[i] - a[i]) ; carry = (t >> 63); i++;
|
||||
case 3: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
|
||||
case 2: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
|
||||
case 1: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
|
||||
case 0: t = (b[i] - a[i]) - carry; carry = (t >> 63);
|
||||
}
|
||||
return (int)!carry;
|
||||
}
|
||||
|
||||
/* is a == 0 */
|
||||
static int
|
||||
iszero256_modm_batch(const bignum256modm a) {
|
||||
size_t i;
|
||||
for (i = 0; i < 5; i++)
|
||||
if (a[i])
|
||||
return 0;
|
||||
return 1;
|
||||
}
|
||||
|
||||
/* is a == 1 */
|
||||
static int
|
||||
isone256_modm_batch(const bignum256modm a) {
|
||||
size_t i;
|
||||
for (i = 0; i < 5; i++)
|
||||
if (a[i] != ((i) ? 0 : 1))
|
||||
return 0;
|
||||
return 1;
|
||||
}
|
||||
|
||||
/* can a fit in to (at most) 128 bits */
|
||||
static int
|
||||
isatmost128bits256_modm_batch(const bignum256modm a) {
|
||||
uint64_t mask =
|
||||
((a[4] ) | /* 32 */
|
||||
(a[3] ) | /* 88 */
|
||||
(a[2] & 0xffffffffff0000));
|
||||
|
||||
return (mask == 0);
|
||||
}
|
||||
Loading…
Reference in new issue