Compare commits

..

205 Commits

Author SHA1 Message Date
Pratik Mankawde
7f09fbe807 removed extra signed-integer-overflow
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 17:34:39 +00:00
Pratik Mankawde
734f8a9810 minor cleanup
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 16:51:39 +00:00
Pratik Mankawde
935e45bcca Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-28 16:36:25 +00:00
Pratik Mankawde
0b612b5c13 changed job name
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 16:20:19 +00:00
Pratik Mankawde
7617072ebc sanitizer variable now has separate address,undefined and thread values
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 16:01:01 +00:00
Pratik Mankawde
4a61ff3bef minor change
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 14:45:56 +00:00
Pratik Mankawde
7097566d9d code review comments
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-28 13:15:34 +00:00
Bart
b33b506b90 refactor: Replaces ed25519-donna source by Conan package (#6088)
This change substitutes the `ed25519-donna` source code copy by the Conan recipe added in https://github.com/XRPLF/conan-center-index/pull/23.
2025-11-27 16:51:32 +00:00
Pratik Mankawde
afedb276db quote issue again
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 15:59:04 +00:00
Pratik Mankawde
941775fec4 fix path issue
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 15:28:10 +00:00
Pratik Mankawde
4058ca01ac minor cleanup
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 13:47:50 +00:00
Pratik Mankawde
9c5df200b8 cleanup
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 13:46:11 +00:00
Pratik Mankawde
96e8ee4bdd added an extra line
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 13:33:28 +00:00
Pratik Mankawde
c182d13ab5 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-27 13:21:51 +00:00
Ayaz Salikhov
f399749ee2 chore: Add black pre-commit hook (#6086)
This change adds Black as a pre-commit hook to format Python files.
2025-11-26 19:14:17 +00:00
Ayaz Salikhov
2ed4047840 chore: Make conan lockfile generation commands into a script (#6085)
This change moves the lockfile instructions into a script, and instead of removing packages it sets the Conan home directory to a temporary directory.

There are several advantages, such as:
* Not affecting the user's Conan home directory, so there is no need to remove packages.
* Only the script needs to be run, rather than several commands.
2025-11-26 18:43:14 +00:00
Ayaz Salikhov
4e25dc9291 chore: Update lockfile (#6083)
This change update recipes, to make sure we have the best compatibility with latest compilers and so on.
2025-11-26 17:54:36 +00:00
Bart
a18b30b765 docs: Update instructions how to (re)generate conan.lock file (#6070)
This change updates the instructions for how to generate a Conan lockfile that is compatible with Linux, macOS, and Windows.

Whenever Conan dependencies change, the Conan lock file needs to be regenerated. However, different OSes have slightly different requirements, and thus require slightly different dependencies. Luckily a single `conan.lock` file can be used, as long as the union of dependencies is included.

The current instructions in the `BUILD.md` file are insufficient to regenerate the lock file such that it is compatible with all OSes, which this change addresses. The three profiles contain the bare minimum needed to generate the lockfile; it does not particularly matter whether the build type is Debug or Release, for instance.
2025-11-26 17:28:06 +00:00
Pratik Mankawde
d942fd9f9c updated docs
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-26 15:19:13 +00:00
Pratik Mankawde
064d51b79c more code changes
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-26 15:13:12 +00:00
Pratik Mankawde
6202148623 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-26 14:07:07 +00:00
Pratik Mankawde
954fe68e91 added more info to package id configs
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-26 14:03:58 +00:00
Pratik Mankawde
1d38504d85 code review fixes 1
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-26 13:57:44 +00:00
Bart
856470203a ci: Trigger clio pipeline on PRs targeting release branches (#6080)
This change triggers the Clio pipeline on PRs that target any of the `release*` branches (in addition to the `master` branch), as opposed to only the `release` branch.
2025-11-25 21:03:17 +00:00
Jingchen
b124c9f7e3 refactor: Retire Flow and FlowSortStrands amendments (#6054)
Amendments activated for more than 2 years can be retired. This change retires the Flow and FlowSortStrands amendments.
2025-11-25 14:21:17 +00:00
Bart
b550dc00ed ci: Remove missing commits check (#6077)
This change removes the CI check for missing commits, as well as a stray path to the publish-docs workflow that isn't used in the on-trigger workflow.
2025-11-24 21:43:39 -05:00
Jingchen
21c02232a5 refactor: Retire RequireFullyCanonicalSig amendment (#6035)
Amendments activated for more than 2 years can be retired. This change retires the RequireFullyCanonicalSig amendment.
2025-11-24 13:58:37 +00:00
Jingchen
a791c03dc1 refactor: Retire DeletableAccounts amendment (#6056)
Amendments activated for more than 2 years can be retired. This change retires the DeletableAccounts amendment.
2025-11-24 11:52:08 +00:00
Jingchen
800a315383 refactor: Retire CryptoConditionsSuite amendment (#6036)
Amendments activated for more than 2 years can be retired. This change retires the CryptoConditionsSuite amendment.
2025-11-24 06:23:16 -05:00
Olek
8449c6c365 Fix: nullptr resolving without db config (#6029)
If the config disables SQL db usage, such as a validator:

```
[ledger_tx_tables]
use_tx_tables = 0
```

then the pointer to DB engine is null, but it was still resolved during startup. Although it didn't crash in Release mode, possibly due to the compiler optimizing it away, it did crash in Debug mode. This change explicitly checks for the validity of the pointer and generates a runtime error if not set.
2025-11-21 22:20:45 +00:00
Vito Tumas
58e03190ac docs: Improve VaultWithdraw documentation (#6068) 2025-11-21 16:59:12 -05:00
Pratik Mankawde
9cdabe98e2 link to sanitizer_readme.md
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-21 18:10:18 +00:00
Pratik Mankawde
49f8daf82f updated link
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-21 18:09:14 +00:00
Pratik Mankawde
dd9e554d4a added readme.
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-21 18:06:01 +00:00
Jingchen
fb74dc28e1 chore: Clean up comment in NetworkOps_test.cpp (#6066)
This change removes a copyright notice that was accidentally copied over from another file.
2025-11-21 17:11:00 +00:00
Pratik Mankawde
facb6c63e3 cleanup and additions to asan, ubsan suppressions
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-21 16:24:38 +00:00
Pratik Mankawde
e4dccfd49b refactor: Retire DisallowIncoming amendment (#6045)
Amendments activated for more than 2 years can be retired. This change retires the DisallowIncoming amendment.
2025-11-21 15:18:00 +00:00
Jingchen
57f4b4eb7f refactor: Retire Checks amendment (#6055)
Amendments activated for more than 2 years can be retired. This change retires the Checks amendment.
2025-11-21 14:19:43 +00:00
Pratik Mankawde
32d129ee5e Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-21 12:18:31 +00:00
Pratik Mankawde
6e32392f93 added no-PIC
Signed-off-by: Pratik Mankawde <pratikmankawde@gmail.com>
2025-11-21 12:17:53 +00:00
Ayaz Salikhov
adbeb94c2b ci: Only upload artifacts in XRPLF repo owner (#6060)
This change prevents uploading too many artifacts in non-public repositories.
2025-11-20 18:09:03 +00:00
Mayukha Vadari
a3d4be4eaf fix: Set correct index for limit in book_offers CLI (#6043)
This change fixes an indexing typo in the `book_offers` CLI processing, and does not affect the HTTPS/WS RPC processing.
2025-11-20 06:37:28 -05:00
Pratik Mankawde
39ace64833 updated blacklist file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 18:40:11 +00:00
Pratik Mankawde
4430cb64b8 trying a diff. sanitizer-blacklist syntax
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 18:27:26 +00:00
Pratik Mankawde
d4b033958e removed static linking.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 18:05:39 +00:00
Pratik Mankawde
1a08b97fb6 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-19 17:51:07 +00:00
Pratik Mankawde
6407788b0f added halt on error=0 and -fno-pie
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 17:44:39 +00:00
Pratik Mankawde
702d94134e minor correction
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 17:22:06 +00:00
Pratik Mankawde
7d3fc5c396 added static linking flags
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 17:13:31 +00:00
Pratik Mankawde
810f5e94db statically link sanitizers
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 17:08:33 +00:00
Olek
6ff495fd9b Fix: Perform array size check (#6030)
The `ledger_entry` and `deposit_preauth` requests require an array of credentials. However, the array size is not checked before is gets processing. This fix adds checks and return errors in case array size is too big.
2025-11-19 16:58:18 +00:00
Pratik Mankawde
d026d0640f build conan deps with sanitizers to fix tsan crashes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 15:34:24 +00:00
Pratik Mankawde
5befd5d249 added tsan option second_deadlock_stack=1 and more tsan supps
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 13:23:48 +00:00
Pratik Mankawde
4f496db291 few more additions
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 12:20:48 +00:00
Pratik Mankawde
10553fc437 added few more suppressions in tsan.supp
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 11:48:24 +00:00
Pratik Mankawde
087e52ea36 suppress crashes in tsan intrumentation code
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 11:02:55 +00:00
Pratik Mankawde
cb982e7a8a added pie flag and signal suppressions
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-19 10:42:23 +00:00
sunnyraindy
ad37461ab2 chore: Fix some typos in comments (#6040) 2025-11-18 20:21:35 -05:00
Mayukha Vadari
d9c27da529 refactor: split up RPCHelpers.h into two (#6047)
This PR splits `RPCHelpers.h` into two files, by moving out all the ledger-fetching-related functions into a separate file, `RPCLedgerHelpers.h`. It also moves `getAccountObjects` to `AccountObjects.h`, since it is only used in that one place.
2025-11-18 15:44:39 -05:00
Pratik Mankawde
2610e653d6 only for clang
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 17:58:59 +00:00
Pratik Mankawde
b6c313bb94 only use ignorelist in gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 17:41:21 +00:00
Pratik Mankawde
a3e42a0d11 alternate approach
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 17:19:14 +00:00
Pratik Mankawde
92a6c986b3 try blacklist file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 17:10:29 +00:00
Pratik Mankawde
dd0408ac53 added blacklist file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 17:00:38 +00:00
Pratik Mankawde
0fcfcd059e more aggressive suppresions
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 16:37:10 +00:00
Pratik Mankawde
4c0f7a337a few more additions
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 15:59:44 +00:00
Pratik Mankawde
640f9ff5e2 Added more files to ubsan.supp
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 15:18:08 +00:00
Pratik Mankawde
42cab6c826 updated ubsan file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 15:02:21 +00:00
Pratik Mankawde
9267756944 fixed generate.py file " issue
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 14:14:49 +00:00
Pratik Mankawde
3b1e82b412 revert back to clang-20
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 13:45:18 +00:00
Pratik Mankawde
7d7c659822 target clang-21
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 13:42:59 +00:00
Pratik Mankawde
a58df41a4d Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 13:42:12 +00:00
Pratik Mankawde
d01b1da80e cleaned up linker flags
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-18 11:55:24 +00:00
Bart
3fb6acd29e ci: Fix filtering out of Clang 20+ on ARM (#6046)
This change fixes the strategy matrix check to filter out the Clang 20+ on ARM, which still fail due to problems with Boost.
2025-11-17 21:54:13 +00:00
Bart
77b7cef5a7 ci: Use new Debian Trixie images (#6034)
This change uses the new Debian Trixie CI images added by XRPLF/ci#83.
2025-11-17 19:31:19 +00:00
Pratik Mankawde
216ecf67e1 updated tsan and ubsan
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 19:18:15 +00:00
Pratik Mankawde
d8c8900fbb updated supp files
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 18:43:39 +00:00
Pratik Mankawde
e2c75f5d60 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-17 17:59:34 +00:00
Pratik Mankawde
2428c5c196 added more suppressions
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 17:58:08 +00:00
Pratik Mankawde
d8ff72b342 updated asan and lsan
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 17:11:36 +00:00
Pratik Mankawde
4fc5c00c24 added lsan and updated tsan
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 16:53:51 +00:00
Jingchen
2c187461cc refactor: Retire NegativeUNL amendment (#6033)
Amendments activated for more than 2 years can be retired. This change retires the NegativeUNL amendment.
2025-11-17 14:02:10 +00:00
Pratik Mankawde
5a9014912c trying without begin-regex
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-17 12:12:27 +00:00
Pratik Mankawde
8006a1e967 removed leak type
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-16 12:30:23 +00:00
Pratik Mankawde
6610f469df trying diff. asan supp options
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-16 11:23:38 +00:00
Ayaz Salikhov
13a12c6402 chore: Update nudb recipe to remove linker warnings (#6038) 2025-11-14 20:27:28 +00:00
Pratik Mankawde
9f026929cf adding asio to tsan.supp
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 19:43:19 +00:00
Pratik Mankawde
a9d134af85 more chnages
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 19:13:26 +00:00
Pratik Mankawde
18b9b9da19 updated supp files
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 18:50:08 +00:00
Pratik Mankawde
6a89a544fe tsan race suppression
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 18:10:18 +00:00
Pratik Mankawde
427771775e added afew suppressors
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 17:43:15 +00:00
Bronek Kozicki
362ecbd1cb fix: Apply object reserve for Vault pseudo-account (#5954) 2025-11-14 17:30:56 +00:00
Pratik Mankawde
67946f4993 more cleanup
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 16:51:54 +00:00
Pratik Mankawde
8d8a0cb970 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-14 16:25:11 +00:00
Pratik Mankawde
89f9ede1f5 cleanup
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 16:24:04 +00:00
Jingchen
7025e92080 refactor: Retire TicketBatch amendment (#6032)
Amendments activated for more than 2 years can be retired. This change retires the TicketBatch amendment.
2025-11-14 13:33:34 +00:00
Pratik Mankawde
aac1076d83 minor cleanup
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 13:01:30 +00:00
Pratik Mankawde
c0da02814b Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-14 12:53:30 +00:00
Pratik Mankawde
013ff18fce cleanup
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 12:51:47 +00:00
Pratik Mankawde
e1403d56ef skip mold, gold, lld
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 12:20:07 +00:00
Pratik Mankawde
58b248d9a4 pass lld flag to cmake
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 11:23:59 +00:00
Pratik Mankawde
f1561c5b48 use lld
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 10:57:11 +00:00
Pratik Mankawde
73ab466029 use gold+large
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-14 10:25:39 +00:00
Pratik Mankawde
4cf4802971 for tsan only use medium
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 16:54:41 +00:00
Pratik Mankawde
8d6d2ec455 trying with bfd
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 16:31:41 +00:00
Pratik Mankawde
4248a1fbb6 only set mcmodel=large for gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 16:18:34 +00:00
Pratik Mankawde
7edba0a856 trying with mcmodel=large
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 16:01:36 +00:00
Pratik Mankawde
b38ef53c44 trying lld.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 15:03:23 +00:00
Vlad
f81d0d8c98 chore: Clean up incorrect comments (#6031)
This change cleans up incorrect comments that were left in test cases after one of the amendments was retired.
2025-11-13 13:37:38 +00:00
Pratik Mankawde
baee65bd28 fixing minor spacing issue
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 13:01:32 +00:00
Pratik Mankawde
2e53c5ab80 changed linker for gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-13 12:28:48 +00:00
Jingchen
508937f3d1 refactor: Retire MultiSignReserve and ExpandedSignerList amendments (#5981)
Amendments activated for more than 2 years can be retired. This change retires the MultiSignReserve and ExpandedSignerList amendments.
2025-11-13 11:42:45 +00:00
Bronek Kozicki
8580a5795a chore: Set version 3.1.0-b0 (#5986)
Technically b0 is not a release, so no "release" prefix here. It marks the point at which we moved the preceding release (3.0.0 in this case) from Beta to Release Candidate.
2025-11-12 18:55:49 +00:00
Pratik Mankawde
09a6e46c39 pass sanitizer flags to linker as well
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 17:32:39 +00:00
Pratik Mankawde
a93052e765 added -fPIC flag
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 16:58:01 +00:00
Pratik Mankawde
1cc00cddd8 trying with " and dyn linking
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 16:19:34 +00:00
Pratik Mankawde
5f2a351e3f reverted mcmodel to medium
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 16:08:36 +00:00
Pratik Mankawde
5e89bce8d9 use mcmodel=large
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 14:48:10 +00:00
Bart
9b53bd9871 ci: Clean workspace on Windows self-hosted runners (#6024)
This change updates the `cleanup-workspace` action to its latest version, which added support for Windows.
2025-11-12 09:30:45 -05:00
Pratik Mankawde
9b793cd429 linker flag correction
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 14:16:58 +00:00
Pratik Mankawde
b650852fa7 static liking for gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 14:09:12 +00:00
hustrust
5fc07e3979 docs: fix spelling in comments (#6002) 2025-11-12 08:23:45 -05:00
Pratik Mankawde
1d76de83f6 minor correction
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 13:12:01 +00:00
Pratik Mankawde
ea4d062e68 added ubsan file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 12:15:45 +00:00
Pratik Mankawde
dcd0553050 sanitizer builds only for gcc15 and clang20. no linking check for sanitizer builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 11:46:20 +00:00
Pratik Mankawde
6355eba88e Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-12 10:37:48 +00:00
Pratik Mankawde
2e5afa7556 updated asan suppressions file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-12 10:36:02 +00:00
Bronek Kozicki
2ebc2ca885 fix: floating point representation errors in vault (#5997)
This change fixes floating point errors in conversion of shares to assets and other way, used in `VaultDeposit`, `VaultWithdraw` and `VaultClawback`. In the floating point calculations the division introduces a larger error than multiplication. If we do division first, then the error introduced will be increased by the multiplication that follows, which is therefore the wrong order to perform these two operations. This change flips the order of arithmetic operations, which minimizes the error.
2025-11-11 19:39:09 +00:00
Pratik Mankawde
7d05090d68 setting variables in run
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 19:21:33 +00:00
Pratik Mankawde
916f00039c try 8
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 19:15:50 +00:00
Pratik Mankawde
e687ab8653 try 7
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 19:07:22 +00:00
Pratik Mankawde
b182b6abf7 try 6
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 19:02:08 +00:00
Pratik Mankawde
509d388f97 try 6
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:58:21 +00:00
Pratik Mankawde
fd712770e1 try 5
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:53:42 +00:00
Pratik Mankawde
695f4a2cc9 try 4
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:50:04 +00:00
Pratik Mankawde
5ea3b4327d try 3
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:46:13 +00:00
Pratik Mankawde
a9444d3a42 try 2
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:42:14 +00:00
Pratik Mankawde
20326a785b putting commented code back
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:39:00 +00:00
Pratik Mankawde
5ef2ced584 testing by printing asan_options
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:38:21 +00:00
Pratik Mankawde
a011d29fcb trying again with minor change
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:36:51 +00:00
Pratik Mankawde
9abec17536 commenting out windows and mac for now.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:32:58 +00:00
Pratik Mankawde
2bc089a962 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:30:47 +00:00
Pratik Mankawde
14f605b2f9 minor
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:29:52 +00:00
Pratik Mankawde
f2365543fb added variable in an early action
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:19:04 +00:00
Pratik Mankawde
d9c26bd7a9 another comb.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 18:17:37 +00:00
Ayaz Salikhov
c2a90b706f ci: Specify bash as the default shell in workflows (#6021) 2025-11-11 18:17:03 +00:00
Pratik Mankawde
937dc8740e another combi
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 17:53:16 +00:00
Jingchen
9ffb434315 refactor: Add XRPL_RETIRE_FIX and XRPL_RETIRE_FEATURE macros (#6014)
Rather than having a single `XRPL_RETIRE` macro that applies to both feature and fix amendments, this change replaces it by new `XRPL_RETIRE_FIX` and `XRPL_RETIRE_FEATURE` macros that avoids confusion between whether to prefix the amendment name with `feature` or `fix`.
2025-11-11 12:45:13 -05:00
Pratik Mankawde
9b92aafe6d fixed path to atsan
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 17:42:23 +00:00
Pratik Mankawde
124b6ca4bd using GITHUB_WORKSPACE now
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 17:27:51 +00:00
Pratik Mankawde
28885a4638 path revert
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 17:13:45 +00:00
Pratik Mankawde
5478e4fee6 move working_dir up
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 16:57:32 +00:00
Pratik Mankawde
72b3a03538 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-11 16:51:12 +00:00
Pratik Mankawde
18b65fd129 linked model flags specific to amd64
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 16:42:57 +00:00
Pratik Mankawde
ebf917ab15 no-var-tracking is gcc specific
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 15:33:17 +00:00
Jingchen
ff18cfef96 refactor: Retire DepositPreAuth and DepositAuth amendments (#5978)
Amendments activated for more than 2 years can be retired. This change retires the fDepositPreAuth and DepositAuth amendments.
2025-11-11 15:21:07 +00:00
Pratik Mankawde
2178fb919f Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 15:08:00 +00:00
Pratik Mankawde
e156ed40ba minor formatting
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 15:06:47 +00:00
Pratik Mankawde
db5aa2d277 added no-var-tracking
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 15:03:20 +00:00
Pratik Mankawde
e347da9fac added mcmodel flags for linker
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 14:56:07 +00:00
Bronek Kozicki
03704f712b chore: Move running of unit tests out of coverage target (#6018)
This change makes the progress of unit tests visible and also gives more flexibility when running them.
2025-11-11 14:55:16 +00:00
Pratik Mankawde
6b8d5b57e1 updated suppression file paths
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 14:36:27 +00:00
Pratik Mankawde
0029210926 minor fix
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 14:16:39 +00:00
Pratik Mankawde
9b332d88c1 refactor: Retire PayChanRecipientOwnerDir amendment (#5946)
Amendments activated for more than 2 years can be retired. This change retires the PayChanRecipientOwnerDir amendment.
2025-11-11 09:07:45 -05:00
Pratik Mankawde
832c32d15c formatting changes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 13:59:08 +00:00
Pratik Mankawde
39adc5a82b fixes forgcc compilation errors.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 13:57:31 +00:00
Pratik Mankawde
1f88697f54 trying suppression files
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 12:42:36 +00:00
Pratik Mankawde
4a0fc0f686 formatting changes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 11:22:51 +00:00
Pratik Mankawde
f5b473ccd1 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 11:21:25 +00:00
Pratik Mankawde
71212677c0 don't build deps with sanitizers
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-11 11:02:16 +00:00
Ayaz Salikhov
33309480d4 ci: Update Conan to 2.22.2 (#6019)
This updates the CI image hashes after following change: https://github.com/XRPLF/ci/pull/81. And, since we use latest Conan, we can have `conan.lock` with a newline at the end, and we don't need to exclude it from `pre-commit` hooks any longer.
2025-11-10 16:23:40 -05:00
Bart
098eadca0a refactor: Update RocksDB, SQLite, Doctest (#6015) 2025-11-10 18:02:35 +00:00
Bronek Kozicki
3b810c305a fix: JSON parsing of negative STNumber and STAmount (#5990)
This change fixes JSON parsing of negative `int` input in `STNumber` and `STAmount`. The conversion of JSON to `STNumber` or `STAmount` may trigger a condition where we negate smallest possible `int` value, which is undefined behaviour. We use a temporary storage as `int64_t` to avoid this bug. Note that this only affects RPC, because we do not parse JSON in the protocol layer, and hence no amendment is needed.
2025-11-10 17:33:20 +00:00
Pratik Mankawde
abfaac5c64 trying direct input placement
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 17:16:55 +00:00
Pratik Mankawde
cb5a76589e tryring escaped " in config file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 17:02:50 +00:00
Pratik Mankawde
d077141d75 name to small case
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 16:46:41 +00:00
Pratik Mankawde
1eb3cc4ec7 fixed pre-commit check
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 16:44:37 +00:00
Bart
3968efb5f1 chore: Make CMake improvements (#6010)
This change removes unused definitions from the CMake files, moves variable definitions from `XrplSanity` to `XrplSettings` where they better belong, and updates the minimum GCC and Clang versions to match what we actually minimally support.
2025-11-10 16:33:54 +00:00
Pratik Mankawde
34b10b87e6 merged develop
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 16:13:08 +00:00
Jingchen
12c629a1d2 refactor: Retire CheckCashMakesTrustLine amendment (#5974)
Amendments activated for more than 2 years can be retired. This change retires the CheckCashMakesTrustLine amendment.
2025-11-10 16:03:10 +00:00
Pratik Mankawde
c0ecb9a0cd Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 16:02:33 +00:00
Pratik Mankawde
c15d6399fb minor revert in clang-format
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-10 15:58:17 +00:00
Pratik Mankawde
0b1bd42cc0 Add sanitizers to CI builds
- Added Address and Thread sanitizers for Debian Bookworm builds
- Updated build-deps action to support sanitizer flags
- Modified strategy matrix generation to include sanitizer configurations
- Updated Conan profiles for sanitizer support
- Added InsertNewlineAtEOF setting to clang-format
2025-11-10 15:54:44 +00:00
Bronek Kozicki
8d2dff2e48 chore: Unify build & test, add ctest to coverage (#6013)
This change unifies the build and test jobs into a single job, and adds `ctest` to coverage reporting.

The mechanics of coverage reporting is slightly complex and most of it is encapsulated in the `coverage` target. The status quo way of preparing coverage reports involves running a single target `cmake --build . --target coverage`, which does three things:
* Build the `rippled` binary (via target dependency)
* Prepare coverage reports:
  * Run `./rippled -u` unit tests.
  * Gather test output and build reports.

This makes it awkward to add an additional `ctest` step between build and coverage reporting steps. The better solution is to split `coverage` target into separate build, followed by `ctest`, followed by test generation. Luckily, the `coverage` target has been designed specifically to support such case; it does not need to build `rippled`, it's just a dependency. Similarly it allows additional tests to be run before gathering test outputs; in principle we could even strip it from running tests and run them separately instead. This means we can keep build, `ctest` and generation of coverage reports as separate steps, as long as the state of build directory is fully (including file timestamps, additional coverage files etc.) preserved between the steps. This means that in order to run `ctest` for coverage reporting we need to integrate build and test into a single job, which this change does.
2025-11-10 10:32:08 -05:00
Michael Legleux
c39f9c561c chore: Point xrpld symlink to rippled (#6012)
As part of renaming ripple(d) to xrpl(d), the xrpld symlink was made to point to itself instead of to the rippled binary. This change fixes the symlink.
2025-11-07 10:51:12 +00:00
Pratik Mankawde
30f7ef7676 Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-06 10:11:55 +00:00
Pratik Mankawde
e7da05e44c added setting EOF-ExtraLine in clang-format
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-06 10:10:18 +00:00
Pratik Mankawde
1cdd0bf63e end of line
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-06 10:03:17 +00:00
Pratik Mankawde
48a3e5ea31 special case only for gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-06 10:00:46 +00:00
Bart
173f9f7bb0 chore: Removes unnecessary creation of symlink in CMake install file (#6009) 2025-11-06 09:06:45 +00:00
Shawn Xie
28a1f90938 fix: domain order book insertion #5998 2025-11-05 23:08:10 +00:00
Pratik Mankawde
10a422dd69 seperate clang and gcc
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 15:31:09 +00:00
Pratik Mankawde
b150feaab6 fixes sanitizer arg not available in build-test
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 15:14:29 +00:00
Jingchen
673fb06c75 refactor: Retire fixTrustLinesToSelf amendment (#5989)
Amendments activated for more than 2 years can be retired. This change retires the fixTrustLinesToSelf amendment.
2025-11-05 14:56:20 +00:00
Pratik Mankawde
ada523071f passing sanitizers to on-pr and on-trigger
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 14:30:14 +00:00
Pratik Mankawde
ff0284e984 removed sanitizers from script
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 13:33:40 +00:00
Pratik Mankawde
0be98ac610 made sanitizers optional
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 13:29:58 +00:00
Pratik Mankawde
83eb93f5d7 added back type
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 13:22:31 +00:00
Pratik Mankawde
db74cebc8b added build with sanitizers ins.
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 12:49:08 +00:00
Pratik Mankawde
3b32210ef4 formatting changes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 12:26:33 +00:00
Pratik Mankawde
21b9f6d1af Merge branch 'develop' into pratik/Add-sanitizers-to-CI-builds 2025-11-05 12:25:47 +00:00
Pratik Mankawde
977a087bb3 code review changes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 12:25:29 +00:00
Pratik Mankawde
e95299dac5 code review changes
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-05 09:46:56 +00:00
Pratik Mankawde
7ae3a85f21 formatting correction
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-04 16:12:22 +00:00
Pratik Mankawde
c38b5aa2d4 Added flow for the sanitizers build
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-11-04 15:59:15 +00:00
221 changed files with 3664 additions and 19059 deletions

View File

@@ -21,6 +21,10 @@ inputs:
description: "The logging verbosity."
required: false
default: "verbose"
sanitizers:
description: "The sanitizers to enable ('Address', 'Thread')."
required: false
default: ""
runs:
using: composite
@@ -33,11 +37,13 @@ runs:
BUILD_OPTION: ${{ inputs.force_build == 'true' && '*' || 'missing' }}
BUILD_TYPE: ${{ inputs.build_type }}
LOG_VERBOSITY: ${{ inputs.log_verbosity }}
SANITIZERS: ${{ inputs.sanitizers }}
run: |
echo 'Installing dependencies.'
mkdir -p "${BUILD_DIR}"
cd "${BUILD_DIR}"
conan install \
--profile ci \
--output-folder . \
--build="${BUILD_OPTION}" \
--options:host='&:tests=True' \

View File

@@ -28,7 +28,7 @@ runs:
shell: bash
run: |
echo 'Installing profile.'
conan config install conan/profiles/default -tf $(conan config home)/profiles/
conan config install conan/profiles/ -tf $(conan config home)/profiles/
echo 'Conan profile:'
conan profile show

View File

@@ -74,12 +74,19 @@ if grep -q '"xrpld"' cmake/XrplCore.cmake; then
# The script has been rerun, so just restore the name of the binary.
${SED_COMMAND} -i 's/"xrpld"/"rippled"/' cmake/XrplCore.cmake
elif ! grep -q '"rippled"' cmake/XrplCore.cmake; then
ghead -n -1 cmake/XrplCore.cmake > cmake.tmp
${HEAD_COMMAND} -n -1 cmake/XrplCore.cmake > cmake.tmp
echo ' # For the time being, we will keep the name of the binary as it was.' >> cmake.tmp
echo ' set_target_properties(xrpld PROPERTIES OUTPUT_NAME "rippled")' >> cmake.tmp
tail -1 cmake/XrplCore.cmake >> cmake.tmp
mv cmake.tmp cmake/XrplCore.cmake
fi
# Restore the symlink from 'xrpld' to 'rippled'.
${SED_COMMAND} -i -E 's@create_symbolic_link\(xrpld@create_symbolic_link(rippled@' cmake/XrplInstall.cmake
# Remove the symlink that previously pointed from 'ripple' to 'xrpl' but now is
# no longer needed.
${SED_COMMAND} -z -i -E 's@install\(CODE.+CMAKE_INSTALL_INCLUDEDIR}/xrpl\)\n"\)\n+@@' cmake/XrplInstall.cmake
popd
echo "Renaming complete."

View File

@@ -70,9 +70,6 @@ fi
if ! grep -q 'Dev Null' src/test/app/tx/apply_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/app/tx/apply_test.cpp)" > src/test/app/tx/apply_test.cpp
fi
if ! grep -q 'Dev Null' src/test/app/NetworkOPs_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/app/NetworkOPs_test.cpp)" > src/test/app/NetworkOPs_test.cpp
fi
if ! grep -q 'Dev Null' src/test/rpc/ManifestRPC_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/rpc/ManifestRPC_test.cpp)" > src/test/rpc/ManifestRPC_test.cpp
fi

View File

@@ -2,11 +2,12 @@
import argparse
import itertools
import json
from pathlib import Path
from dataclasses import dataclass
from pathlib import Path
THIS_DIR = Path(__file__).parent.resolve()
@dataclass
class Config:
architecture: list[dict]
@@ -14,7 +15,8 @@ class Config:
build_type: list[str]
cmake_args: list[str]
'''
"""
Generate a strategy matrix for GitHub Actions CI.
On each PR commit we will build a selection of Debian, RHEL, Ubuntu, MacOS, and
@@ -27,19 +29,23 @@ We will further set additional CMake arguments as follows:
- All release builds will have the `assert` option.
- Certain Debian Bookworm configurations will change the reference fee, enable
codecov, and enable voidstar in PRs.
'''
"""
def generate_strategy_matrix(all: bool, config: Config) -> list:
configurations = []
for architecture, os, build_type, cmake_args in itertools.product(config.architecture, config.os, config.build_type, config.cmake_args):
for architecture, os, build_type, cmake_args in itertools.product(
config.architecture, config.os, config.build_type, config.cmake_args
):
# The default CMake target is 'all' for Linux and MacOS and 'install'
# for Windows, but it can get overridden for certain configurations.
cmake_target = 'install' if os["distro_name"] == 'windows' else 'all'
cmake_target = "install" if os["distro_name"] == "windows" else "all"
# We build and test all configurations by default, except for Windows in
# Debug, because it is too slow, as well as when code coverage is
# enabled as that mode already runs the tests.
build_only = False
if os['distro_name'] == 'windows' and build_type == 'Debug':
if os["distro_name"] == "windows" and build_type == "Debug":
build_only = True
# Only generate a subset of configurations in PRs.
@@ -54,21 +60,46 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# - Bookworm using Clang 17: Release and no Unity on linux/amd64,
# set the reference fee to 1000.
# - Bookworm using Clang 20: Debug and Unity on linux/amd64.
if os['distro_name'] == 'debian':
if os["distro_name"] == "debian":
skip = True
if os['distro_version'] == 'bookworm':
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-13' and build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/amd64':
cmake_args = f'-DUNIT_TEST_REFERENCE_FEE=500 {cmake_args}'
if os["distro_version"] == "bookworm":
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-13"
and build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/amd64"
):
cmake_args = f"-DUNIT_TEST_REFERENCE_FEE=500 {cmake_args}"
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-15' and build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/amd64':
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-15"
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-16' and build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/arm64':
cmake_args = f'-Dvoidstar=ON {cmake_args}'
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-16"
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/arm64"
):
cmake_args = f"-Dvoidstar=ON {cmake_args}"
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-17' and build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/amd64':
cmake_args = f'-DUNIT_TEST_REFERENCE_FEE=1000 {cmake_args}'
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-17"
and build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/amd64"
):
cmake_args = f"-DUNIT_TEST_REFERENCE_FEE=1000 {cmake_args}"
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-20' and build_type == 'Debug' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/amd64':
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-20"
and build_type == "Debug"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
if skip:
continue
@@ -76,13 +107,23 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# RHEL:
# - 9 using GCC 12: Debug and Unity on linux/amd64.
# - 10 using Clang: Release and no Unity on linux/amd64.
if os['distro_name'] == 'rhel':
if os["distro_name"] == "rhel":
skip = True
if os['distro_version'] == '9':
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-12' and build_type == 'Debug' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/amd64':
if os["distro_version"] == "9":
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-12"
and build_type == "Debug"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
elif os['distro_version'] == '10':
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-any' and build_type == 'Release' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/amd64':
elif os["distro_version"] == "10":
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-any"
and build_type == "Release"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
if skip:
continue
@@ -92,106 +133,295 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# - Noble using GCC 14: Release and Unity on linux/amd64.
# - Noble using Clang 18: Debug and no Unity on linux/amd64.
# - Noble using Clang 19: Release and Unity on linux/arm64.
if os['distro_name'] == 'ubuntu':
if os["distro_name"] == "ubuntu":
skip = True
if os['distro_version'] == 'jammy':
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-12' and build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/arm64':
if os["distro_version"] == "jammy":
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-12"
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/arm64"
):
skip = False
elif os['distro_version'] == 'noble':
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-14' and build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/amd64':
elif os["distro_version"] == "noble":
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-14"
and build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-18' and build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/amd64':
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-18"
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/amd64"
):
skip = False
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-19' and build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'linux/arm64':
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-19"
and build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "linux/arm64"
):
skip = False
if skip:
continue
# MacOS:
# - Debug and no Unity on macos/arm64.
if os['distro_name'] == 'macos' and not (build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'macos/arm64'):
if os["distro_name"] == "macos" and not (
build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "macos/arm64"
):
continue
# Windows:
# - Release and Unity on windows/amd64.
if os['distro_name'] == 'windows' and not (build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'windows/amd64'):
if os["distro_name"] == "windows" and not (
build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "windows/amd64"
):
continue
# Additional CMake arguments.
cmake_args = f'{cmake_args} -Dtests=ON -Dwerr=ON -Dxrpld=ON'
if not f'{os['compiler_name']}-{os['compiler_version']}' in ['gcc-12', 'clang-16']:
cmake_args = f'{cmake_args} -Dwextra=ON'
if build_type == 'Release':
cmake_args = f'{cmake_args} -Dassert=ON'
cmake_args = f"{cmake_args} -Dtests=ON -Dwerr=ON -Dxrpld=ON"
if not f"{os['compiler_name']}-{os['compiler_version']}" in [
"gcc-12",
"clang-16",
]:
cmake_args = f"{cmake_args} -Dwextra=ON"
if build_type == "Release":
cmake_args = f"{cmake_args} -Dassert=ON"
# We skip all RHEL on arm64 due to a build failure that needs further
# investigation.
if os['distro_name'] == 'rhel' and architecture['platform'] == 'linux/arm64':
if os["distro_name"] == "rhel" and architecture["platform"] == "linux/arm64":
continue
# We skip all clang-20 on arm64 due to boost 1.86 build error
if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-20' and architecture['platform'] == 'linux/arm64':
# We skip all clang 20+ on arm64 due to Boost build error.
if (
f"{os['compiler_name']}-{os['compiler_version']}"
in ["clang-20", "clang-21"]
and architecture["platform"] == "linux/arm64"
):
continue
# Enable code coverage for Debian Bookworm using GCC 15 in Debug and no
cxx_flags = "-g"
# Enable code coverage for Debian Bookworm using GCC 14 in Debug and no
# Unity on linux/amd64
if f'{os['compiler_name']}-{os['compiler_version']}' == 'gcc-15' and build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'linux/amd64':
cmake_args = f'-Dcoverage=ON -Dcoverage_format=xml -DCODE_COVERAGE_VERBOSE=ON -DCMAKE_C_FLAGS=-O0 -DCMAKE_CXX_FLAGS=-O0 {cmake_args}'
cmake_target = 'coverage'
build_only = True
if (
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-14"
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/amd64"
):
cmake_args = f"-Dcoverage=ON -Dcoverage_format=xml -DCODE_COVERAGE_VERBOSE=ON -DCMAKE_C_FLAGS=-O0 {cmake_args}"
cxx_flags = f"-O0 {cxx_flags}"
# Generate a unique name for the configuration, e.g. macos-arm64-debug
# or debian-bookworm-gcc-12-amd64-release-unity.
config_name = os['distro_name']
if (n := os['distro_version']) != '':
config_name += f'-{n}'
if (n := os['compiler_name']) != '':
config_name += f'-{n}'
if (n := os['compiler_version']) != '':
config_name += f'-{n}'
config_name += f'-{architecture['platform'][architecture['platform'].find('/')+1:]}'
config_name += f'-{build_type.lower()}'
if '-Dunity=ON' in cmake_args:
config_name += '-unity'
config_name = os["distro_name"]
if (n := os["distro_version"]) != "":
config_name += f"-{n}"
if (n := os["compiler_name"]) != "":
config_name += f"-{n}"
if (n := os["compiler_version"]) != "":
config_name += f"-{n}"
config_name += (
f"-{architecture['platform'][architecture['platform'].find('/')+1:]}"
)
config_name += f"-{build_type.lower()}"
if "-Dunity=ON" in cmake_args:
config_name += "-unity"
# Add the configuration to the list, with the most unique fields first,
# so that they are easier to identify in the GitHub Actions UI, as long
# names get truncated.
configurations.append({
'config_name': config_name,
'cmake_args': cmake_args,
'cmake_target': cmake_target,
'build_only': build_only,
'build_type': build_type,
'os': os,
'architecture': architecture,
})
# Add Address and Thread (both coupled with UB) sanitizers when the distro is bookworm.
if os[
"distro_version"
] == "bookworm" and f"{os['compiler_name']}-{os['compiler_version']}" in {
"gcc-15",
"clang-20",
}:
configs = addSanitizerConfigs(architecture, os, cmake_args, cxx_flags)
if "asan_ubsan" in configs:
configurations.append(
{
"config_name": config_name + "-asan-ubsan",
"cmake_args": configs["asan_ubsan"],
"cmake_target": cmake_target,
"build_only": build_only,
"build_type": build_type,
"os": os,
"architecture": architecture,
"sanitizers": "Address,UndefinedBehavior",
}
)
if "tsan_ubsan" in configs:
configurations.append(
{
"config_name": config_name + "-tsan-ubsan",
"cmake_args": configs["tsan_ubsan"],
"cmake_target": cmake_target,
"build_only": build_only,
"build_type": build_type,
"os": os,
"architecture": architecture,
"sanitizers": "Thread,UndefinedBehavior",
}
)
else:
configurations.append(
{
"config_name": config_name,
"cmake_args": cmake_args,
"cmake_target": cmake_target,
"build_only": build_only,
"build_type": build_type,
"os": os,
"architecture": architecture,
}
)
return configurations
def addSanitizerConfigs(
architecture: dict,
os: dict,
cmake_args: str,
cxx_flags: str,
) -> dict:
extra_warning_flags = ""
linker_relocation_flags = ""
linker_flags = ""
# Use large code model to avoid relocation errors with large binaries
# Only for x86-64 (amd64) - ARM64 doesn't support -mcmodel=large
if architecture["platform"] == "linux/amd64" and os["compiler_name"] == "gcc":
# Add -mcmodel=large to both compiler AND linker flags
# This is needed because sanitizers create very large binaries and
# large model removes the 2GB limitation that medium model has
cxx_flags += " -mcmodel=large -fno-PIC"
linker_relocation_flags += " -mcmodel=large -fno-PIC"
# Create default sanitizer flags
sanitizers_flags = "undefined,float-divide-by-zero"
if os["compiler_name"] == "gcc":
# Suppress false positive warnings in GCC with stringop-overflow
extra_warning_flags += " -Wno-stringop-overflow"
# Disable mold, gold and lld linkers.
# Use default linker (bfd/ld) which is more lenient with mixed code models
cmake_args += " -Duse_mold=OFF -Duse_gold=OFF -Duse_lld=OFF"
# Add linker flags for Sanitizers
linker_flags += f" -DCMAKE_EXE_LINKER_FLAGS='{linker_relocation_flags} -fsanitize=address,{sanitizers_flags}'"
linker_flags += f" -DCMAKE_SHARED_LINKER_FLAGS='{linker_relocation_flags} -fsanitize=address,{sanitizers_flags}'"
elif os["compiler_name"] == "clang":
# Note: We use $GITHUB_WORKSPACE environment variable which will be expanded by the shell
# before CMake processes it. This ensures the compiler receives an absolute path.
# CMAKE_SOURCE_DIR won't work here because it's inside CMAKE_CXX_FLAGS string.
# GCC doesn't support ignorelist.
cxx_flags += " -fsanitize-ignorelist=$GITHUB_WORKSPACE/sanitizers/suppressions/sanitizer-ignorelist.txt"
sanitizers_flags = f"{sanitizers_flags},unsigned-integer-overflow"
linker_flags += (
f" -DCMAKE_EXE_LINKER_FLAGS='-fsanitize=address,{sanitizers_flags}'"
)
linker_flags += (
f" -DCMAKE_SHARED_LINKER_FLAGS='-fsanitize=address,{sanitizers_flags}'"
)
# Sanitizers recommend minimum of -O1 for reasonable performance
cxx_flags += " -O1"
# First create config for asan
cmake_args_flags = f'{cmake_args} -DCMAKE_CXX_FLAGS="-fsanitize=address,{sanitizers_flags} -fno-omit-frame-pointer {cxx_flags} {extra_warning_flags}" {linker_flags}'
# Add config with asan+ubsan
configs = {}
configs["asan_ubsan"] = cmake_args_flags
# Since TSAN runs are crashing with seg faults(could be compatibility issues with latest compilers)
# We deactivate it for now. But I would keep the code, since it took some effort to find the correct set of config needed to run this.
# This will be useful when we decide to activate it again in future.
activateTSAN = False
if activateTSAN:
linker_flags = ""
# Update configs for tsan
# gcc doesn't supports atomic_thread_fence with tsan. Suppress warnings.
# Also tsan doesn't work well with mcmode=large and bfd linker
if os["compiler_name"] == "gcc":
extra_warning_flags += " -Wno-tsan"
cxx_flags = cxx_flags.replace("-mcmodel=large", "-mcmodel=medium")
linker_relocation_flags = linker_relocation_flags.replace(
"-mcmodel=large", "-mcmodel=medium"
)
# Add linker flags for Sanitizers
linker_flags += f" -DCMAKE_EXE_LINKER_FLAGS='{linker_relocation_flags} -fsanitize=thread,{sanitizers_flags}'"
linker_flags += f" -DCMAKE_SHARED_LINKER_FLAGS='{linker_relocation_flags} -fsanitize=thread,{sanitizers_flags}'"
elif os["compiler_name"] == "clang":
linker_flags += (
f" -DCMAKE_EXE_LINKER_FLAGS='-fsanitize=thread,{sanitizers_flags}'"
)
linker_flags += (
f" -DCMAKE_SHARED_LINKER_FLAGS='-fsanitize=thread,{sanitizers_flags}'"
)
cmake_args_flags = f"{cmake_args} -DCMAKE_CXX_FLAGS='-fsanitize=thread,{sanitizers_flags} -fno-omit-frame-pointer {cxx_flags} {extra_warning_flags}' {linker_flags}"
# Add config with tsan+ubsan
configs["tsan_ubsan"] = cmake_args_flags
return configs
def read_config(file: Path) -> Config:
config = json.loads(file.read_text())
if config['architecture'] is None or config['os'] is None or config['build_type'] is None or config['cmake_args'] is None:
raise Exception('Invalid configuration file.')
if (
config["architecture"] is None
or config["os"] is None
or config["build_type"] is None
or config["cmake_args"] is None
):
raise Exception("Invalid configuration file.")
return Config(**config)
if __name__ == '__main__':
if __name__ == "__main__":
parser = argparse.ArgumentParser()
parser.add_argument('-a', '--all', help='Set to generate all configurations (generally used when merging a PR) or leave unset to generate a subset of configurations (generally used when committing to a PR).', action="store_true")
parser.add_argument('-c', '--config', help='Path to the JSON file containing the strategy matrix configurations.', required=False, type=Path)
parser.add_argument(
"-a",
"--all",
help="Set to generate all configurations (generally used when merging a PR) or leave unset to generate a subset of configurations (generally used when committing to a PR).",
action="store_true",
)
parser.add_argument(
"-c",
"--config",
help="Path to the JSON file containing the strategy matrix configurations.",
required=False,
type=Path,
)
args = parser.parse_args()
matrix = []
if args.config is None or args.config == '':
matrix += generate_strategy_matrix(args.all, read_config(THIS_DIR / "linux.json"))
matrix += generate_strategy_matrix(args.all, read_config(THIS_DIR / "macos.json"))
matrix += generate_strategy_matrix(args.all, read_config(THIS_DIR / "windows.json"))
if args.config is None or args.config == "":
matrix += generate_strategy_matrix(
args.all, read_config(THIS_DIR / "linux.json")
)
matrix += generate_strategy_matrix(
args.all, read_config(THIS_DIR / "macos.json")
)
matrix += generate_strategy_matrix(
args.all, read_config(THIS_DIR / "windows.json")
)
else:
matrix += generate_strategy_matrix(args.all, read_config(args.config))
# Generate the strategy matrix.
print(f'matrix={json.dumps({"include": matrix})}')
print(f"matrix={json.dumps({'include': matrix})}")

View File

@@ -15,168 +15,196 @@
"distro_version": "bookworm",
"compiler_name": "gcc",
"compiler_version": "12",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "gcc",
"compiler_version": "13",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "gcc",
"compiler_version": "15",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "clang",
"compiler_version": "16",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "clang",
"compiler_version": "17",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "clang",
"compiler_version": "18",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "clang",
"compiler_version": "19",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "bookworm",
"compiler_name": "clang",
"compiler_version": "20",
"image_sha": "97ba375"
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "trixie",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "trixie",
"compiler_name": "gcc",
"compiler_version": "15",
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "trixie",
"compiler_name": "clang",
"compiler_version": "20",
"image_sha": "0525eae"
},
{
"distro_name": "debian",
"distro_version": "trixie",
"compiler_name": "clang",
"compiler_version": "21",
"image_sha": "0525eae"
},
{
"distro_name": "rhel",
"distro_version": "8",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "8",
"compiler_name": "clang",
"compiler_version": "any",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "9",
"compiler_name": "gcc",
"compiler_version": "12",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "9",
"compiler_name": "gcc",
"compiler_version": "13",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "9",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "9",
"compiler_name": "clang",
"compiler_version": "any",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "10",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "rhel",
"distro_version": "10",
"compiler_name": "clang",
"compiler_version": "any",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "jammy",
"compiler_name": "gcc",
"compiler_version": "12",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "gcc",
"compiler_version": "13",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "gcc",
"compiler_version": "14",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "clang",
"compiler_version": "16",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "clang",
"compiler_version": "17",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "clang",
"compiler_version": "18",
"image_sha": "97ba375"
"image_sha": "e1782cd"
},
{
"distro_name": "ubuntu",
"distro_version": "noble",
"compiler_name": "clang",
"compiler_version": "19",
"image_sha": "97ba375"
"image_sha": "e1782cd"
}
],
"build_type": ["Debug", "Release"],

View File

@@ -122,7 +122,7 @@ jobs:
needs:
- should-run
- build-test
if: ${{ needs.should-run.outputs.go == 'true' && contains(fromJSON('["release", "master"]'), github.ref_name) }}
if: ${{ needs.should-run.outputs.go == 'true' && (startsWith(github.base_ref, 'release') || github.base_ref == 'master') }}
uses: ./.github/workflows/reusable-notify-clio.yml
secrets:
clio_notify_token: ${{ secrets.CLIO_NOTIFY_TOKEN }}

View File

@@ -14,9 +14,7 @@ on:
- "master"
paths:
# These paths are unique to `on-trigger.yml`.
- ".github/workflows/reusable-check-missing-commits.yml"
- ".github/workflows/on-trigger.yml"
- ".github/workflows/publish-docs.yml"
# Keep the paths below in sync with those in `on-pr.yml`.
- ".github/actions/build-deps/**"
@@ -63,10 +61,6 @@ defaults:
shell: bash
jobs:
check-missing-commits:
if: ${{ github.event_name == 'push' && github.ref_type == 'branch' && contains(fromJSON('["develop", "release"]'), github.ref_name) }}
uses: ./.github/workflows/reusable-check-missing-commits.yml
build-test:
uses: ./.github/workflows/reusable-build-test.yml
strategy:

View File

@@ -7,19 +7,23 @@ on:
description: "The directory where to build."
required: true
type: string
build_only:
description: 'Whether to only build or to build and test the code ("true", "false").'
required: true
type: boolean
build_type:
description: 'The build type to use ("Debug", "Release").'
type: string
required: true
cmake_args:
description: "Additional arguments to pass to CMake."
required: false
type: string
default: ""
cmake_target:
description: "The CMake target to build."
type: string
@@ -29,6 +33,7 @@ on:
description: Runner to run the job on as a JSON string
required: true
type: string
image:
description: "The image to run in (leave empty to run natively)"
required: true
@@ -45,33 +50,178 @@ on:
type: number
default: 2
sanitizers:
description: "The sanitizers to enable ('Address+UndefinedBehavior' or 'Thread+UndefinedBehavior')."
required: false
type: string
default: ""
secrets:
CODECOV_TOKEN:
description: "The Codecov token to use for uploading coverage reports."
required: true
jobs:
build:
uses: ./.github/workflows/reusable-build.yml
with:
build_dir: ${{ inputs.build_dir }}
build_type: ${{ inputs.build_type }}
cmake_args: ${{ inputs.cmake_args }}
cmake_target: ${{ inputs.cmake_target }}
runs_on: ${{ inputs.runs_on }}
image: ${{ inputs.image }}
config_name: ${{ inputs.config_name }}
nproc_subtract: ${{ inputs.nproc_subtract }}
secrets:
CODECOV_TOKEN: ${{ secrets.CODECOV_TOKEN }}
defaults:
run:
shell: bash
test:
needs: build
uses: ./.github/workflows/reusable-test.yml
with:
run_tests: ${{ !inputs.build_only }}
verify_voidstar: ${{ contains(inputs.cmake_args, '-Dvoidstar=ON') }}
runs_on: ${{ inputs.runs_on }}
image: ${{ inputs.image }}
config_name: ${{ inputs.config_name }}
nproc_subtract: ${{ inputs.nproc_subtract }}
jobs:
build-and-test:
name: ${{ inputs.config_name }}
runs-on: ${{ fromJSON(inputs.runs_on) }}
container: ${{ inputs.image != '' && inputs.image || null }}
timeout-minutes: 60
env:
ENABLED_VOIDSTAR: ${{ contains(inputs.cmake_args, '-Dvoidstar=ON') }}
ENABLED_COVERAGE: ${{ contains(inputs.cmake_args, '-Dcoverage=ON') }}
ENABLED_SANITIZERS: ${{ contains(inputs.cmake_args, '-fsanitize') }}
steps:
- name: Cleanup workspace (macOS and Windows)
if: ${{ runner.os == 'macOS' || runner.os == 'Windows' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@01b244d2718865d427b499822fbd3f15e7197fcc
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- name: Prepare runner
uses: XRPLF/actions/.github/actions/prepare-runner@99685816bb60a95a66852f212f382580e180df3a
with:
disable_ccache: false
- name: Print build environment
uses: ./.github/actions/print-env
- name: Get number of processors
uses: XRPLF/actions/.github/actions/get-nproc@046b1620f6bfd6cd0985dc82c3df02786801fe0a
id: nproc
with:
subtract: ${{ inputs.nproc_subtract }}
- name: Setup Conan
uses: ./.github/actions/setup-conan
- name: Build dependencies
uses: ./.github/actions/build-deps
with:
build_dir: ${{ inputs.build_dir }}
build_nproc: ${{ steps.nproc.outputs.nproc }}
build_type: ${{ inputs.build_type }}
# Set the verbosity to "quiet" for Windows to avoid an excessive
# amount of logs. For other OSes, the "verbose" logs are more useful.
log_verbosity: ${{ runner.os == 'Windows' && 'quiet' || 'verbose' }}
sanitizers: ${{ inputs.sanitizers }}
- name: Configure CMake
working-directory: ${{ inputs.build_dir }}
env:
BUILD_TYPE: ${{ inputs.build_type }}
run: |
cmake .. \
-G '${{ runner.os == 'Windows' && 'Visual Studio 17 2022' || 'Ninja' }}' \
-DCMAKE_TOOLCHAIN_FILE:FILEPATH=build/generators/conan_toolchain.cmake \
-DCMAKE_BUILD_TYPE="${BUILD_TYPE}" \
${{ inputs.cmake_args }}
- name: Build the binary
working-directory: ${{ inputs.build_dir }}
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
BUILD_TYPE: ${{ inputs.build_type }}
CMAKE_TARGET: ${{ inputs.cmake_target }}
run: |
cmake \
--build . \
--config "${BUILD_TYPE}" \
--parallel "${BUILD_NPROC}" \
--target "${CMAKE_TARGET}"
- name: Upload rippled artifact (Linux)
if: ${{ github.repository_owner == 'XRPLF' && runner.os == 'Linux' }}
uses: actions/upload-artifact@ea165f8d65b6e75b540449e92b4886f43607fa02 # v4.6.2
env:
BUILD_DIR: ${{ inputs.build_dir }}
with:
name: rippled-${{ inputs.config_name }}
path: ${{ env.BUILD_DIR }}/rippled
retention-days: 3
if-no-files-found: error
- name: Check linking (Linux)
if: ${{ runner.os == 'Linux' && env.ENABLED_SANITIZERS == 'false' }}
working-directory: ${{ inputs.build_dir }}
run: |
ldd ./rippled
if [ "$(ldd ./rippled | grep -E '(libstdc\+\+|libgcc)' | wc -l)" -eq 0 ]; then
echo 'The binary is statically linked.'
else
echo 'The binary is dynamically linked.'
exit 1
fi
- name: Verify presence of instrumentation (Linux)
if: ${{ runner.os == 'Linux' && env.ENABLED_VOIDSTAR == 'true' }}
working-directory: ${{ inputs.build_dir }}
run: |
./rippled --version | grep libvoidstar
- name: Run the separate tests
if: ${{ !inputs.build_only }}
working-directory: ${{ inputs.build_dir }}
# Windows locks some of the build files while running tests, and parallel jobs can collide
env:
BUILD_TYPE: ${{ inputs.build_type }}
PARALLELISM: ${{ runner.os == 'Windows' && '1' || steps.nproc.outputs.nproc }}
run: |
export ASAN_OPTIONS="detect_container_overflow=0 suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/asan.supp"
export TSAN_OPTIONS="second_deadlock_stack=1 halt_on_error=0 suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/tsan.supp"
export UBSAN_OPTIONS="suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/ubsan.supp"
export LSAN_OPTIONS="suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/lsan.supp"
ctest \
--output-on-failure \
-C "${BUILD_TYPE}" \
-j "${PARALLELISM}"
- name: Run the embedded tests
if: ${{ !inputs.build_only }}
working-directory: ${{ runner.os == 'Windows' && format('{0}/{1}', inputs.build_dir, inputs.build_type) || inputs.build_dir }}
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
run: |
export ASAN_OPTIONS="detect_container_overflow=0 suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/asan.supp"
export TSAN_OPTIONS="second_deadlock_stack=1 halt_on_error=0 suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/tsan.supp"
export UBSAN_OPTIONS="suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/ubsan.supp"
export LSAN_OPTIONS="suppressions=$GITHUB_WORKSPACE/sanitizers/suppressions/lsan.supp"
./rippled --unittest --unittest-jobs "${BUILD_NPROC}"
- name: Debug failure (Linux)
if: ${{ failure() && runner.os == 'Linux' && !inputs.build_only }}
run: |
echo "IPv4 local port range:"
cat /proc/sys/net/ipv4/ip_local_port_range
echo "Netstat:"
netstat -an
- name: Prepare coverage report
if: ${{ !inputs.build_only && env.ENABLED_COVERAGE == 'true' }}
working-directory: ${{ inputs.build_dir }}
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
BUILD_TYPE: ${{ inputs.build_type }}
run: |
cmake \
--build . \
--config "${BUILD_TYPE}" \
--parallel "${BUILD_NPROC}" \
--target coverage
- name: Upload coverage report
if: ${{ github.repository_owner == 'XRPLF' && !inputs.build_only && env.ENABLED_COVERAGE == 'true' }}
uses: codecov/codecov-action@18283e04ce6e62d37312384ff67231eb8fd56d24 # v5.4.3
with:
disable_search: true
disable_telem: true
fail_ci_if_error: true
files: ${{ inputs.build_dir }}/coverage.xml
plugins: noop
token: ${{ secrets.CODECOV_TOKEN }}
verbose: true

View File

@@ -54,5 +54,6 @@ jobs:
runs_on: ${{ toJSON(matrix.architecture.runner) }}
image: ${{ contains(matrix.architecture.platform, 'linux') && format('ghcr.io/xrplf/ci/{0}-{1}:{2}-{3}-sha-{4}', matrix.os.distro_name, matrix.os.distro_version, matrix.os.compiler_name, matrix.os.compiler_version, matrix.os.image_sha) || '' }}
config_name: ${{ matrix.config_name }}
sanitizers: ${{ matrix.sanitizers }}
secrets:
CODECOV_TOKEN: ${{ secrets.CODECOV_TOKEN }}

View File

@@ -1,154 +0,0 @@
name: Build rippled
on:
workflow_call:
inputs:
build_dir:
description: "The directory where to build."
required: true
type: string
build_type:
description: 'The build type to use ("Debug", "Release").'
required: true
type: string
cmake_args:
description: "Additional arguments to pass to CMake."
required: true
type: string
cmake_target:
description: "The CMake target to build."
required: true
type: string
runs_on:
description: Runner to run the job on as a JSON string
required: true
type: string
image:
description: "The image to run in (leave empty to run natively)"
required: true
type: string
config_name:
description: "The name of the configuration."
required: true
type: string
nproc_subtract:
description: "The number of processors to subtract when calculating parallelism."
required: true
type: number
secrets:
CODECOV_TOKEN:
description: "The Codecov token to use for uploading coverage reports."
required: true
defaults:
run:
shell: bash
jobs:
build:
name: Build ${{ inputs.config_name }}
runs-on: ${{ fromJSON(inputs.runs_on) }}
container: ${{ inputs.image != '' && inputs.image || null }}
timeout-minutes: 60
steps:
- name: Cleanup workspace
if: ${{ runner.os == 'macOS' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@3f044c7478548e3c32ff68980eeb36ece02b364e
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- name: Prepare runner
uses: XRPLF/actions/.github/actions/prepare-runner@99685816bb60a95a66852f212f382580e180df3a
with:
disable_ccache: false
- name: Print build environment
uses: ./.github/actions/print-env
- name: Get number of processors
uses: XRPLF/actions/.github/actions/get-nproc@046b1620f6bfd6cd0985dc82c3df02786801fe0a
id: nproc
with:
subtract: ${{ inputs.nproc_subtract }}
- name: Setup Conan
uses: ./.github/actions/setup-conan
- name: Build dependencies
uses: ./.github/actions/build-deps
with:
build_dir: ${{ inputs.build_dir }}
build_nproc: ${{ steps.nproc.outputs.nproc }}
build_type: ${{ inputs.build_type }}
# Set the verbosity to "quiet" for Windows to avoid an excessive
# amount of logs. For other OSes, the "verbose" logs are more useful.
log_verbosity: ${{ runner.os == 'Windows' && 'quiet' || 'verbose' }}
- name: Configure CMake
shell: bash
working-directory: ${{ inputs.build_dir }}
env:
BUILD_TYPE: ${{ inputs.build_type }}
CMAKE_ARGS: ${{ inputs.cmake_args }}
run: |
cmake \
-G '${{ runner.os == 'Windows' && 'Visual Studio 17 2022' || 'Ninja' }}' \
-DCMAKE_TOOLCHAIN_FILE:FILEPATH=build/generators/conan_toolchain.cmake \
-DCMAKE_BUILD_TYPE="${BUILD_TYPE}" \
${CMAKE_ARGS} \
..
- name: Build the binary
shell: bash
working-directory: ${{ inputs.build_dir }}
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
BUILD_TYPE: ${{ inputs.build_type }}
CMAKE_TARGET: ${{ inputs.cmake_target }}
run: |
cmake \
--build . \
--config "${BUILD_TYPE}" \
--parallel ${BUILD_NPROC} \
--target "${CMAKE_TARGET}"
- name: Put built binaries in one location
shell: bash
working-directory: ${{ inputs.build_dir }}
env:
BUILD_TYPE_DIR: ${{ runner.os == 'Windows' && inputs.build_type || '' }}
CMAKE_TARGET: ${{ inputs.cmake_target }}
run: |
mkdir -p ./binaries/doctest/
cp ./${BUILD_TYPE_DIR}/rippled* ./binaries/
if [ "${CMAKE_TARGET}" != 'coverage' ]; then
cp ./src/tests/libxrpl/${BUILD_TYPE_DIR}/xrpl.test.* ./binaries/doctest/
fi
- name: Upload rippled artifact
uses: actions/upload-artifact@ea165f8d65b6e75b540449e92b4886f43607fa02 # v4.6.2
env:
BUILD_DIR: ${{ inputs.build_dir }}
with:
name: rippled-${{ inputs.config_name }}
path: ${{ env.BUILD_DIR }}/binaries/
retention-days: 3
if-no-files-found: error
- name: Upload coverage report
if: ${{ github.repository_owner == 'XRPLF' && inputs.cmake_target == 'coverage' }}
uses: codecov/codecov-action@18283e04ce6e62d37312384ff67231eb8fd56d24 # v5.4.3
with:
disable_search: true
disable_telem: true
fail_ci_if_error: true
files: ${{ inputs.build_dir }}/coverage.xml
plugins: noop
token: ${{ secrets.CODECOV_TOKEN }}
verbose: true

View File

@@ -1,62 +0,0 @@
# This workflow checks that all commits in the "master" branch are also in the
# "release" and "develop" branches, and that all commits in the "release" branch
# are also in the "develop" branch.
name: Check for missing commits
# This workflow can only be triggered by other workflows.
on: workflow_call
concurrency:
group: ${{ github.workflow }}-${{ github.ref }}-missing-commits
cancel-in-progress: true
defaults:
run:
shell: bash
jobs:
check:
runs-on: ubuntu-latest
steps:
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
with:
fetch-depth: 0
- name: Check for missing commits
env:
MESSAGE: |
If you are reading this, then the commits indicated above are missing
from the "develop" and/or "release" branch. Do a reverse-merge as soon
as possible. See CONTRIBUTING.md for instructions.
run: |
set -o pipefail
# Branches are ordered by how "canonical" they are. Every commit in one
# branch should be in all the branches behind it.
order=(master release develop)
branches=()
for branch in "${order[@]}"; do
# Check that the branches exist so that this job will work on forked
# repos, which don't necessarily have master and release branches.
echo "Checking if ${branch} exists."
if git ls-remote --exit-code --heads origin \
refs/heads/${branch} > /dev/null; then
branches+=(origin/${branch})
fi
done
prior=()
for branch in "${branches[@]}"; do
if [[ ${#prior[@]} -ne 0 ]]; then
echo "Checking ${prior[@]} for commits missing from ${branch}."
git log --oneline --no-merges "${prior[@]}" \
^$branch | tee -a "missing-commits.txt"
echo
fi
prior+=("${branch}")
done
if [[ $(cat missing-commits.txt | wc -l) -ne 0 ]]; then
echo "${MESSAGE}"
exit 1
fi

View File

@@ -18,6 +18,10 @@ on:
description: "The generated strategy matrix."
value: ${{ jobs.generate-matrix.outputs.matrix }}
defaults:
run:
shell: bash
jobs:
generate-matrix:
runs-on: ubuntu-latest

View File

@@ -1,111 +0,0 @@
name: Test rippled
on:
workflow_call:
inputs:
verify_voidstar:
description: "Whether to verify the presence of voidstar instrumentation."
required: true
type: boolean
run_tests:
description: "Whether to run unit tests"
required: true
type: boolean
runs_on:
description: Runner to run the job on as a JSON string
required: true
type: string
image:
description: "The image to run in (leave empty to run natively)"
required: true
type: string
config_name:
description: "The name of the configuration."
required: true
type: string
nproc_subtract:
description: "The number of processors to subtract when calculating parallelism."
required: true
type: number
jobs:
test:
name: Test ${{ inputs.config_name }}
runs-on: ${{ fromJSON(inputs.runs_on) }}
container: ${{ inputs.image != '' && inputs.image || null }}
timeout-minutes: 30
steps:
- name: Cleanup workspace
if: ${{ runner.os == 'macOS' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@3f044c7478548e3c32ff68980eeb36ece02b364e
- name: Get number of processors
uses: XRPLF/actions/.github/actions/get-nproc@046b1620f6bfd6cd0985dc82c3df02786801fe0a
id: nproc
with:
subtract: ${{ inputs.nproc_subtract }}
- name: Download rippled artifact
uses: actions/download-artifact@d3f86a106a0bac45b974a628896c90dbdf5c8093 # v4.3.0
with:
name: rippled-${{ inputs.config_name }}
- name: Make binary executable (Linux and macOS)
shell: bash
if: ${{ runner.os == 'Linux' || runner.os == 'macOS' }}
run: |
chmod +x ./rippled
- name: Check linking (Linux)
if: ${{ runner.os == 'Linux' }}
shell: bash
run: |
ldd ./rippled
if [ "$(ldd ./rippled | grep -E '(libstdc\+\+|libgcc)' | wc -l)" -eq 0 ]; then
echo 'The binary is statically linked.'
else
echo 'The binary is dynamically linked.'
exit 1
fi
- name: Verifying presence of instrumentation
if: ${{ inputs.verify_voidstar }}
shell: bash
run: |
./rippled --version | grep libvoidstar
- name: Run the embedded tests
if: ${{ inputs.run_tests }}
shell: bash
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
run: |
./rippled --unittest --unittest-jobs ${BUILD_NPROC}
- name: Run the separate tests
if: ${{ inputs.run_tests }}
env:
EXT: ${{ runner.os == 'Windows' && '.exe' || '' }}
shell: bash
run: |
for test_file in ./doctest/*${EXT}; do
echo "Executing $test_file"
chmod +x "$test_file"
if [[ "${{ runner.os }}" == "Windows" && "$test_file" == "./doctest/xrpl.test.net.exe" ]]; then
echo "Skipping $test_file on Windows"
else
"$test_file"
fi
done
- name: Debug failure (Linux)
if: ${{ failure() && runner.os == 'Linux' && inputs.run_tests }}
shell: bash
run: |
echo "IPv4 local port range:"
cat /proc/sys/net/ipv4/ip_local_port_range
echo "Netstat:"
netstat -an

View File

@@ -40,6 +40,10 @@ concurrency:
group: ${{ github.workflow }}-${{ github.ref }}
cancel-in-progress: true
defaults:
run:
shell: bash
jobs:
# Generate the strategy matrix to be used by the following job.
generate-matrix:
@@ -58,9 +62,9 @@ jobs:
runs-on: ${{ matrix.architecture.runner }}
container: ${{ contains(matrix.architecture.platform, 'linux') && format('ghcr.io/xrplf/ci/{0}-{1}:{2}-{3}-sha-{4}', matrix.os.distro_name, matrix.os.distro_version, matrix.os.compiler_name, matrix.os.compiler_version, matrix.os.image_sha) || null }}
steps:
- name: Cleanup workspace
if: ${{ runner.os == 'macOS' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@3f044c7478548e3c32ff68980eeb36ece02b364e
- name: Cleanup workspace (macOS and Windows)
if: ${{ runner.os == 'macOS' || runner.os == 'Windows' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@01b244d2718865d427b499822fbd3f15e7197fcc
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0

View File

@@ -31,9 +31,13 @@ repos:
hooks:
- id: prettier
- repo: https://github.com/psf/black-pre-commit-mirror
rev: 25.11.0
hooks:
- id: black
exclude: |
(?x)^(
external/.*|
.github/scripts/levelization/results/.*\.txt|
conan\.lock
.github/scripts/levelization/results/.*\.txt
)$

View File

@@ -88,6 +88,13 @@ These instructions assume a basic familiarity with Conan and CMake. If you are
unfamiliar with Conan, then please read [this crash course](./docs/build/conan.md) or the official
[Getting Started][3] walkthrough.
#### Conan lockfile
To achieve reproducible dependencies, we use a [Conan lockfile](https://docs.conan.io/2/tutorial/versioning/lockfiles.html),
which has to be updated every time dependencies change.
Please see the [instructions on how to regenerate the lockfile](conan/lockfile/README.md).
#### Default profile
We recommend that you import the provided `conan/profiles/default` profile:
@@ -138,10 +145,12 @@ cd external
git init
git remote add origin git@github.com:XRPLF/conan-center-index.git
git sparse-checkout init
git sparse-checkout set recipes/snappy
git sparse-checkout set recipes/ed25519
git sparse-checkout add recipes/snappy
git sparse-checkout add recipes/soci
git fetch origin master
git checkout master
conan export --version 2015.03 recipes/ed25519/all
conan export --version 1.1.10 recipes/snappy/all
conan export --version 4.0.3 recipes/soci/all
rm -rf .git
@@ -155,7 +164,8 @@ the new recipe will be automatically pulled from the official Conan Center.
> [!NOTE]
> You might need to add `--lockfile=""` to your `conan install` command
> to avoid automatic use of the existing `conan.lock` file when you run `conan export` manually on your machine
> to avoid automatic use of the existing `conan.lock` file when you run
> `conan export` manually on your machine
### Conan profile tweaks
@@ -360,6 +370,20 @@ tools.build:cxxflags=['-DBOOST_ASIO_DISABLE_CONCEPTS']
conan install .. --output-folder . --build missing --settings build_type=Debug
```
If you would like to activate `asan`(`Address`) or `tsan`(`Thread`) or `ubsan`(`UndefinedBehavior`) for the build,
declare an environment variable as follows(with values: `Address`, `Thread`, `UndefinedBehavior`) and use the `sanitizers`
profile in the `conan install` command.
```
SANITIZERS=Address conan install .. --output-folder . --profile:all sanitizers --build missing --settings build_type=Debug
# or if you want asan+ubsan
SANITIZERS=Address,UndefinedBehavior conan install .. --output-folder . --profile:all sanitizers --build missing --settings build_type=Debug
```
Note: Do not mix Address and Thread, that's incompatible.
More details here: [sanitizers](./docs/build/sanitizers.md)
To build Debug, in the next step, be sure to set `-DCMAKE_BUILD_TYPE=Debug`
For a single-configuration generator, e.g. `Unix Makefiles` or `Ninja`,
@@ -450,33 +474,6 @@ tools.build:cxxflags=['-DBOOST_ASIO_DISABLE_CONCEPTS']
The location of `rippled` binary in your build directory depends on your
CMake generator. Pass `--help` to see the rest of the command line options.
#### Conan lockfile
To achieve reproducible dependencies, we use [Conan lockfile](https://docs.conan.io/2/tutorial/versioning/lockfiles.html).
The `conan.lock` file in the repository contains a "snapshot" of the current dependencies.
It is implicitly used when running `conan` commands, you don't need to specify it.
You have to update this file every time you add a new dependency or change a revision or version of an existing dependency.
> [!NOTE]
> Conan uses local cache by default when creating a lockfile.
>
> To ensure, that lockfile creation works the same way on all developer machines, you should clear the local cache before creating a new lockfile.
To create a new lockfile, run the following commands in the repository root:
```bash
conan remove '*' --confirm
rm conan.lock
# This ensure that xrplf remote is the first to be consulted
conan remote add --force --index 0 xrplf https://conan.ripplex.io
conan lock create . -o '&:jemalloc=True' -o '&:rocksdb=True'
```
> [!NOTE]
> If some dependencies are exclusive for some OS, you may need to run the last command for them adding `--profile:all <PROFILE>`.
## Coverage report
The coverage report is intended for developers using compilers GCC
@@ -495,18 +492,18 @@ A coverage report is created when the following steps are completed, in order:
1. `rippled` binary built with instrumentation data, enabled by the `coverage`
option mentioned above
2. completed run of unit tests, which populates coverage capture data
2. completed one or more run of the unit tests, which populates coverage capture data
3. completed run of the `gcovr` tool (which internally invokes either `gcov` or `llvm-cov`)
to assemble both instrumentation data and the coverage capture data into a coverage report
The above steps are automated into a single target `coverage`. The instrumented
The last step of the above is automated into a single target `coverage`. The instrumented
`rippled` binary can also be used for regular development or testing work, at
the cost of extra disk space utilization and a small performance hit
(to store coverage capture). In case of a spurious failure of unit tests, it is
possible to re-run the `coverage` target without rebuilding the `rippled` binary
(since it is simply a dependency of the coverage report target). It is also possible
to select only specific tests for the purpose of the coverage report, by setting
the `coverage_test` variable in `cmake`
(to store coverage capture data). Since `rippled` binary is simply a dependency of the
coverage report target, it is possible to re-run the `coverage` target without
rebuilding the `rippled` binary. Note, running of the unit tests before the `coverage`
target is left to the developer. Each such run will append to the coverage data
collected in the build directory.
The default coverage report format is `html-details`, but the user
can override it to any of the formats listed in `Builds/CMake/CodeCoverage.cmake`
@@ -515,11 +512,6 @@ to generate more than one format at a time by setting the `coverage_extra_args`
variable in `cmake`. The specific command line used to run the `gcovr` tool will be
displayed if the `CODE_COVERAGE_VERBOSE` variable is set.
By default, the code coverage tool runs parallel unit tests with `--unittest-jobs`
set to the number of available CPU cores. This may cause spurious test
errors on Apple. Developers can override the number of unit test jobs with
the `coverage_test_parallelism` variable in `cmake`.
Example use with some cmake variables set:
```

View File

@@ -97,7 +97,6 @@ set(SECP256K1_BUILD_CTIME_TESTS FALSE)
set(SECP256K1_BUILD_EXAMPLES FALSE)
add_subdirectory(external/secp256k1)
add_library(secp256k1::secp256k1 ALIAS secp256k1)
add_subdirectory(external/ed25519-donna)
add_subdirectory(external/antithesis-sdk)
find_package(gRPC REQUIRED)
find_package(lz4 REQUIRED)
@@ -117,9 +116,9 @@ if(rocksdb)
target_link_libraries(xrpl_libs INTERFACE RocksDB::rocksdb)
endif()
find_package(nudb REQUIRED)
find_package(date REQUIRED)
find_package(wasm-xrplf REQUIRED)
find_package(ed25519 REQUIRED)
find_package(nudb REQUIRED)
find_package(xxHash REQUIRED)
target_link_libraries(xrpl_libs INTERFACE

View File

@@ -1,21 +1,3 @@
macro(group_sources_in source_dir curdir)
file(GLOB children RELATIVE ${source_dir}/${curdir}
${source_dir}/${curdir}/*)
foreach (child ${children})
if (IS_DIRECTORY ${source_dir}/${curdir}/${child})
group_sources_in(${source_dir} ${curdir}/${child})
else()
string(REPLACE "/" "\\" groupname ${curdir})
source_group(${groupname} FILES
${source_dir}/${curdir}/${child})
endif()
endforeach()
endmacro()
macro(group_sources curdir)
group_sources_in(${PROJECT_SOURCE_DIR} ${curdir})
endmacro()
macro (exclude_from_default target_)
set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_ALL ON)
set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_DEFAULT_BUILD ON)

View File

@@ -109,6 +109,9 @@
# - add a new function add_code_coverage_to_target
# - remove some unused code
#
# 2025-11-11, Bronek Kozicki
# - make EXECUTABLE and EXECUTABLE_ARGS optional
#
# USAGE:
#
# 1. Copy this file into your cmake modules path.
@@ -317,6 +320,10 @@ function(setup_target_for_coverage_gcovr)
set(Coverage_FORMAT xml)
endif()
if(NOT DEFINED Coverage_EXECUTABLE AND DEFINED Coverage_EXECUTABLE_ARGS)
message(FATAL_ERROR "EXECUTABLE_ARGS must not be set if EXECUTABLE is not set")
endif()
if("--output" IN_LIST GCOVR_ADDITIONAL_ARGS)
message(FATAL_ERROR "Unsupported --output option detected in GCOVR_ADDITIONAL_ARGS! Aborting...")
else()
@@ -398,17 +405,18 @@ function(setup_target_for_coverage_gcovr)
endforeach()
# Set up commands which will be run to generate coverage data
# Run tests
set(GCOVR_EXEC_TESTS_CMD
${Coverage_EXECUTABLE} ${Coverage_EXECUTABLE_ARGS}
)
# If EXECUTABLE is not set, the user is expected to run the tests manually
# before running the coverage target NAME
if(DEFINED Coverage_EXECUTABLE)
set(GCOVR_EXEC_TESTS_CMD
${Coverage_EXECUTABLE} ${Coverage_EXECUTABLE_ARGS}
)
endif()
# Create folder
if(DEFINED GCOVR_CREATE_FOLDER)
set(GCOVR_FOLDER_CMD
${CMAKE_COMMAND} -E make_directory ${GCOVR_CREATE_FOLDER})
else()
set(GCOVR_FOLDER_CMD echo) # dummy
endif()
# Running gcovr
@@ -425,11 +433,13 @@ function(setup_target_for_coverage_gcovr)
if(CODE_COVERAGE_VERBOSE)
message(STATUS "Executed command report")
message(STATUS "Command to run tests: ")
string(REPLACE ";" " " GCOVR_EXEC_TESTS_CMD_SPACED "${GCOVR_EXEC_TESTS_CMD}")
message(STATUS "${GCOVR_EXEC_TESTS_CMD_SPACED}")
if(NOT "${GCOVR_EXEC_TESTS_CMD}" STREQUAL "")
message(STATUS "Command to run tests: ")
string(REPLACE ";" " " GCOVR_EXEC_TESTS_CMD_SPACED "${GCOVR_EXEC_TESTS_CMD}")
message(STATUS "${GCOVR_EXEC_TESTS_CMD_SPACED}")
endif()
if(NOT GCOVR_FOLDER_CMD STREQUAL "echo")
if(NOT "${GCOVR_FOLDER_CMD}" STREQUAL "")
message(STATUS "Command to create a folder: ")
string(REPLACE ";" " " GCOVR_FOLDER_CMD_SPACED "${GCOVR_FOLDER_CMD}")
message(STATUS "${GCOVR_FOLDER_CMD_SPACED}")

View File

@@ -22,20 +22,4 @@ function(xrpl_add_test name)
UNITY_BUILD_BATCH_SIZE 0) # Adjust as needed
add_test(NAME ${target} COMMAND ${target})
set_tests_properties(
${target} PROPERTIES
FIXTURES_REQUIRED ${target}_fixture
)
add_test(
NAME ${target}.build
COMMAND
${CMAKE_COMMAND}
--build ${CMAKE_BINARY_DIR}
--config $<CONFIG>
--target ${target}
)
set_tests_properties(${target}.build PROPERTIES
FIXTURES_SETUP ${target}_fixture
)
endfunction()

View File

@@ -12,7 +12,7 @@ if (static OR MSVC)
else ()
set (Boost_USE_STATIC_RUNTIME OFF)
endif ()
find_dependency (Boost 1.70
find_dependency (Boost
COMPONENTS
chrono
container
@@ -52,5 +52,3 @@ if (TARGET ZLIB::ZLIB)
set_target_properties(OpenSSL::Crypto PROPERTIES
INTERFACE_LINK_LIBRARIES ZLIB::ZLIB)
endif ()
include ("${CMAKE_CURRENT_LIST_DIR}/XrplTargets.cmake")

View File

@@ -63,25 +63,17 @@ target_link_libraries(xrpl.imports.main
Xrpl::opts
Xrpl::syslibs
secp256k1::secp256k1
wasm-xrplf::wasm-xrplf
xrpl.libpb
xxHash::xxhash
$<$<BOOL:${voidstar}>:antithesis-sdk-cpp>
)
if (WIN32)
target_link_libraries(xrpl.imports.main INTERFACE ntdll)
endif()
include(add_module)
include(target_link_modules)
# Level 01
add_module(xrpl beast)
target_link_libraries(xrpl.libxrpl.beast PUBLIC
xrpl.imports.main
xrpl.libpb
)
target_link_libraries(xrpl.libxrpl.beast PUBLIC xrpl.imports.main)
# Level 02
add_module(xrpl basics)

View File

@@ -11,6 +11,9 @@ if(CMAKE_CXX_COMPILER_ID MATCHES "MSVC")
return()
endif()
include(ProcessorCount)
ProcessorCount(PROCESSOR_COUNT)
include(CodeCoverage)
# The instructions for these commands come from the `CodeCoverage` module,
@@ -26,15 +29,13 @@ list(APPEND GCOVR_ADDITIONAL_ARGS
--exclude-throw-branches
--exclude-noncode-lines
--exclude-unreachable-branches -s
-j ${coverage_test_parallelism})
-j ${PROCESSOR_COUNT})
setup_target_for_coverage_gcovr(
NAME coverage
FORMAT ${coverage_format}
EXECUTABLE xrpld
EXECUTABLE_ARGS --unittest$<$<BOOL:${coverage_test}>:=${coverage_test}> --unittest-jobs ${coverage_test_parallelism} --quiet --unittest-log
EXCLUDE "src/test" "src/tests" "include/xrpl/beast/test" "include/xrpl/beast/unit_test" "${CMAKE_BINARY_DIR}/pb-xrpl.libpb"
DEPENDENCIES xrpld
DEPENDENCIES xrpld xrpl.tests
)
add_code_coverage_to_target(opts INTERFACE)

View File

@@ -37,13 +37,6 @@ install(
DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}"
)
install(CODE "
set(CMAKE_MODULE_PATH \"${CMAKE_MODULE_PATH}\")
include(create_symbolic_link)
create_symbolic_link(xrpl \
\$ENV{DESTDIR}\${CMAKE_INSTALL_PREFIX}/${CMAKE_INSTALL_INCLUDEDIR}/xrpl)
")
install (EXPORT XrplExports
FILE XrplTargets.cmake
NAMESPACE Xrpl::
@@ -74,7 +67,7 @@ if (is_root_project AND TARGET xrpld)
install(CODE "
set(CMAKE_MODULE_PATH \"${CMAKE_MODULE_PATH}\")
include(create_symbolic_link)
create_symbolic_link(xrpld${suffix} \
create_symbolic_link(rippled${suffix} \
\$ENV{DESTDIR}\${CMAKE_INSTALL_PREFIX}/${CMAKE_INSTALL_BINDIR}/xrpld${suffix})
")
endif ()

View File

@@ -1,5 +1,5 @@
#[===================================================================[
convenience variables and sanity checks
sanity checks
#]===================================================================]
get_property(is_multiconfig GLOBAL PROPERTY GENERATOR_IS_MULTI_CONFIG)
@@ -16,39 +16,19 @@ if (NOT is_multiconfig)
endif ()
endif ()
get_directory_property(has_parent PARENT_DIRECTORY)
if (has_parent)
set (is_root_project OFF)
else ()
set (is_root_project ON)
endif ()
if ("${CMAKE_CXX_COMPILER_ID}" MATCHES ".*Clang") # both Clang and AppleClang
set (is_clang TRUE)
if ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang" AND
CMAKE_CXX_COMPILER_VERSION VERSION_LESS 8.0)
message (FATAL_ERROR "This project requires clang 8 or later")
CMAKE_CXX_COMPILER_VERSION VERSION_LESS 16.0)
message (FATAL_ERROR "This project requires clang 16 or later")
endif ()
# TODO min AppleClang version check ?
elseif ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU")
set (is_gcc TRUE)
if (CMAKE_CXX_COMPILER_VERSION VERSION_LESS 8.0)
message (FATAL_ERROR "This project requires GCC 8 or later")
if (CMAKE_CXX_COMPILER_VERSION VERSION_LESS 12.0)
message (FATAL_ERROR "This project requires GCC 12 or later")
endif ()
endif ()
if (CMAKE_SYSTEM_NAME STREQUAL "Linux")
set (is_linux TRUE)
else ()
set (is_linux FALSE)
endif ()
if ("$ENV{CI}" STREQUAL "true" OR "$ENV{CONTINUOUS_INTEGRATION}" STREQUAL "true")
set (is_ci TRUE)
else ()
set (is_ci FALSE)
endif ()
# check for in-source build and fail
if ("${CMAKE_CURRENT_SOURCE_DIR}" STREQUAL "${CMAKE_BINARY_DIR}")
message (FATAL_ERROR "Builds (in-source) are not allowed in "

View File

@@ -1,10 +1,25 @@
#[===================================================================[
declare user options/settings
declare options and variables
#]===================================================================]
include(ProcessorCount)
if(CMAKE_SYSTEM_NAME STREQUAL "Linux")
set (is_linux TRUE)
else()
set(is_linux FALSE)
endif()
ProcessorCount(PROCESSOR_COUNT)
if("$ENV{CI}" STREQUAL "true" OR "$ENV{CONTINUOUS_INTEGRATION}" STREQUAL "true")
set(is_ci TRUE)
else()
set(is_ci FALSE)
endif()
get_directory_property(has_parent PARENT_DIRECTORY)
if(has_parent)
set(is_root_project OFF)
else()
set(is_root_project ON)
endif()
option(assert "Enables asserts, even in release builds" OFF)
@@ -25,29 +40,28 @@ if(unity)
endif()
set(CMAKE_UNITY_BUILD ON CACHE BOOL "Do a unity build")
endif()
if(is_clang AND is_linux)
option(voidstar "Enable Antithesis instrumentation." OFF)
endif()
if(is_gcc OR is_clang)
include(ProcessorCount)
ProcessorCount(PROCESSOR_COUNT)
option(coverage "Generates coverage info." OFF)
option(profile "Add profiling flags" OFF)
set(coverage_test_parallelism "${PROCESSOR_COUNT}" CACHE STRING
"Unit tests parallelism for the purpose of coverage report.")
set(coverage_format "html-details" CACHE STRING
"Output format of the coverage report.")
set(coverage_extra_args "" CACHE STRING
"Additional arguments to pass to gcovr.")
set(coverage_test "" CACHE STRING
"On gcc & clang, the specific unit test(s) to run for coverage. Default is all tests.")
if(coverage_test AND NOT coverage)
set(coverage ON CACHE BOOL "gcc/clang only" FORCE)
endif()
option(wextra "compile with extra gcc/clang warnings enabled" ON)
else()
set(profile OFF CACHE BOOL "gcc/clang only" FORCE)
set(coverage OFF CACHE BOOL "gcc/clang only" FORCE)
set(wextra OFF CACHE BOOL "gcc/clang only" FORCE)
endif()
if(is_linux)
option(BUILD_SHARED_LIBS "build shared xrpl libraries" OFF)
option(static "link protobuf, openssl, libc++, and boost statically" ON)
@@ -64,11 +78,13 @@ else()
set(use_gold OFF CACHE BOOL "gold linker, linux only" FORCE)
set(use_mold OFF CACHE BOOL "mold linker, linux only" FORCE)
endif()
if(is_clang)
option(use_lld "enables detection of lld linker" ON)
else()
set(use_lld OFF CACHE BOOL "try lld linker, clang only" FORCE)
endif()
option(jemalloc "Enables jemalloc for heap profiling" OFF)
option(werr "treat warnings as errors" OFF)
option(local_protobuf
@@ -102,16 +118,6 @@ if(san)
message(FATAL_ERROR "${san} sanitizer does not seem to be supported by your compiler")
endif()
endif()
set(container_label "" CACHE STRING "tag to use for package building containers")
option(packages_only
"ONLY generate package building targets. This is special use-case and almost \
certainly not what you want. Use with caution as you won't be able to build \
any compiled targets locally." OFF)
option(have_package_container
"Sometimes you already have the tagged container you want to use for package \
building and you don't want docker to rebuild it. This flag will detach the \
dependency of the package build from the container build. It's an advanced \
use case and most likely you should not be touching this flag." OFF)
# the remaining options are obscure and rarely used
option(beast_no_unit_test_inline
@@ -125,15 +131,13 @@ option(boost_show_deprecated
"Allow boost to fail on deprecated usage. Only useful if you're trying\
to find deprecated calls."
OFF)
option(beast_hashers
"Use local implementations for sha/ripemd hashes (experimental, not recommended)"
OFF)
if(WIN32)
option(beast_disable_autolink "Disables autolinking of system libraries on WIN32" OFF)
else()
set(beast_disable_autolink OFF CACHE BOOL "WIN32 only" FORCE)
endif()
if(coverage)
message(STATUS "coverage build requested - forcing Debug build")
set(CMAKE_BUILD_TYPE Debug CACHE STRING "build type" FORCE)

View File

@@ -3,36 +3,37 @@
"requires": [
"zlib/1.3.1#b8bc2603263cf7eccbd6e17e66b0ed76%1756234269.497",
"xxhash/0.8.3#681d36a0a6111fc56e5e45ea182c19cc%1756234289.683",
"wasm-xrplf/2.4.1-xrplf#dc67c558e283593ef0edd7eb00e9fa0d%1759862247.891",
"sqlite3/3.49.1#8631739a4c9b93bd3d6b753bac548a63%1756234266.869",
"soci/4.0.3#a9f8d773cd33e356b5879a4b0564f287%1756234262.318",
"snappy/1.1.10#968fef506ff261592ec30c574d4a7809%1756234314.246",
"rocksdb/10.0.1#85537f46e538974d67da0c3977de48ac%1756234304.347",
"re2/20230301#dfd6e2bf050eb90ddd8729cfb4c844a4%1756234257.976",
"protobuf/3.21.12#d927114e28de9f4691a6bbcdd9a529d1%1756234251.614",
"openssl/3.5.4#a1d5835cc6ed5c5b8f3cd5b9b5d24205%1759746684.671",
"nudb/2.0.9#c62cfd501e57055a7e0d8ee3d5e5427d%1756234237.107",
"rocksdb/10.5.1#4a197eca381a3e5ae8adf8cffa5aacd0%1762797952.535",
"re2/20230301#ca3b241baec15bd31ea9187150e0b333%1764175362.029",
"protobuf/3.21.12#44ee56c0a6eea0c19aeeaca680370b88%1764175361.456",
"openssl/3.5.4#a1d5835cc6ed5c5b8f3cd5b9b5d24205%1760106486.594",
"nudb/2.0.9#fb8dfd1a5557f5e0528114c2da17721e%1763150366.909",
"lz4/1.10.0#59fc63cac7f10fbe8e05c7e62c2f3504%1756234228.999",
"libiconv/1.17#1e65319e945f2d31941a9d28cc13c058%1756223727.64",
"libbacktrace/cci.20210118#a7691bfccd8caaf66309df196790a5a1%1756230911.03",
"libarchive/3.8.1#5cf685686322e906cb42706ab7e099a8%1756234256.696",
"libarchive/3.8.1#ffee18995c706e02bf96e7a2f7042e0d%1764175360.142",
"jemalloc/5.3.0#e951da9cf599e956cebc117880d2d9f8%1729241615.244",
"grpc/1.50.1#02291451d1e17200293a409410d1c4e1%1756234248.958",
"doctest/2.4.11#a4211dfc329a16ba9f280f9574025659%1756234220.819",
"date/3.0.4#f74bbba5a08fa388256688743136cb6f%1756234217.493",
"c-ares/1.34.5#b78b91e7cfb1f11ce777a285bbf169c6%1756234217.915",
"bzip2/1.0.8#00b4a4658791c1f06914e087f0e792f5%1756234261.716",
"ed25519/2015.03#17c1f1910e769f368025267a53c23c13%1764259445.491",
"doctest/2.4.12#eb9fb352fb2fdfc8abb17ec270945165%1762797941.757",
"date/3.0.4#862e11e80030356b53c2c38599ceb32b%1763584497.32",
"c-ares/1.34.5#5581c2b62a608b40bb85d965ab3ec7c8%1764175359.429",
"bzip2/1.0.8#c470882369c2d95c5c77e970c0c7e321%1764175359.429",
"boost/1.88.0#8852c0b72ce8271fb8ff7c53456d4983%1756223752.326",
"abseil/20230802.1#f0f91485b111dc9837a68972cb19ca7b%1756234220.907"
"abseil/20230802.1#90ba607d4ee8fb5fb157c3db540671fc%1764175359.429"
],
"build_requires": [
"zlib/1.3.1#b8bc2603263cf7eccbd6e17e66b0ed76%1756234269.497",
"strawberryperl/5.32.1.1#707032463aa0620fa17ec0d887f5fe41%1756234281.733",
"protobuf/3.21.12#d927114e28de9f4691a6bbcdd9a529d1%1756234251.614",
"protobuf/3.21.12#44ee56c0a6eea0c19aeeaca680370b88%1764175361.456",
"nasm/2.16.01#31e26f2ee3c4346ecd347911bd126904%1756234232.901",
"msys2/cci.latest#5b73b10144f73cc5bfe0572ed9be39e1%1751977009.857",
"m4/1.4.19#b38ced39a01e31fef5435bc634461fd2%1700758725.451",
"cmake/3.31.8#dde3bde00bb843687e55aea5afa0e220%1756234232.89",
"m4/1.4.19#70dc8bbb33e981d119d2acc0175cf381%1763158052.846",
"cmake/4.2.0#ae0a44f44a1ef9ab68fd4b3e9a1f8671%1764175359.44",
"cmake/3.31.10#313d16a1aa16bbdb2ca0792467214b76%1764175359.429",
"b2/5.3.3#107c15377719889654eb9a162a673975%1756234226.28",
"automake/1.16.5#b91b7c384c3deaa9d535be02da14d04f%1755524470.56",
"autoconf/2.71#51077f068e61700d65bb05541ea1e4b0%1731054366.86"
@@ -51,7 +52,10 @@
],
"sqlite3/3.44.2": [
"sqlite3/3.49.1"
],
"lz4/[>=1.9.4 <2]": [
"lz4/1.10.0#59fc63cac7f10fbe8e05c7e62c2f3504"
]
},
"config_requires": []
}
}

12
conan/lockfile/README.md Normal file
View File

@@ -0,0 +1,12 @@
# Conan lockfile
To achieve reproducible dependencies, we use a [Conan lockfile](https://docs.conan.io/2/tutorial/versioning/lockfiles.html).
The `conan.lock` file in the repository contains a "snapshot" of the current
dependencies. It is implicitly used when running `conan` commands, so you don't
need to specify it.
You have to update this file every time you add a new dependency or change a
revision or version of an existing dependency.
To update a lockfile, run from the repository root: `./conan/lockfile/regenerate.sh`

View File

@@ -0,0 +1,8 @@
[settings]
arch=x86_64
build_type=Release
compiler=gcc
compiler.cppstd=20
compiler.libcxx=libstdc++11
compiler.version=13
os=Linux

View File

@@ -0,0 +1,8 @@
[settings]
arch=armv8
build_type=Release
compiler=apple-clang
compiler.cppstd=20
compiler.libcxx=libc++
compiler.version=17.0
os=Macos

36
conan/lockfile/regenerate.sh Executable file
View File

@@ -0,0 +1,36 @@
#!/usr/bin/env bash
set -ex
TEMP_DIR=$(mktemp -d)
trap "rm -rf $TEMP_DIR" EXIT
echo "Using temporary CONAN_HOME: $TEMP_DIR"
# We use a temporary Conan home to avoid polluting the user's existing Conan
# configuration and to not use local cache (which leads to non-reproducible lockfiles).
export CONAN_HOME="$TEMP_DIR"
# Ensure that the xrplf remote is the first to be consulted, so any recipes we
# patched are used. We also add it there to not created huge diff when the
# official Conan Center Index is updated.
conan remote add --force --index 0 xrplf https://conan.ripplex.io
# Delete any existing lockfile.
rm -f conan.lock
# Create a new lockfile that is compatible with Linux, macOS, and Windows. The
# first create command will create a new lockfile, while the subsequent create
# commands will merge any additional dependencies into the created lockfile.
conan lock create . \
--options '&:jemalloc=True' \
--options '&:rocksdb=True' \
--profile:all=conan/lockfile/linux.profile
conan lock create . \
--options '&:jemalloc=True' \
--options '&:rocksdb=True' \
--profile:all=conan/lockfile/macos.profile
conan lock create . \
--options '&:jemalloc=True' \
--options '&:rocksdb=True' \
--profile:all=conan/lockfile/windows.profile

View File

@@ -0,0 +1,9 @@
[settings]
arch=x86_64
build_type=Release
compiler=msvc
compiler.cppstd=20
compiler.runtime=dynamic
compiler.runtime_type=Release
compiler.version=194
os=Windows

1
conan/profiles/ci Normal file
View File

@@ -0,0 +1 @@
include(sanitizers)

59
conan/profiles/sanitizers Normal file
View File

@@ -0,0 +1,59 @@
include(default)
{% set compiler, version, compiler_exe = detect_api.detect_default_compiler() %}
{% set sanitizers = os.getenv("SANITIZERS") %}
[conf]
{% if sanitizers %}
{% if compiler == "gcc" %}
{% if "Address" in sanitizers or "Thread" in sanitizers or "UndefinedBehavior" in sanitizers %}
{% set sanitizer_list = [] %}
{% set model_code = "" %}
{% set extra_cxxflags = "-fno-omit-frame-pointer -fno-PIC -O1 -Wno-stringop-overflow" %}
{% if "Address" in sanitizers %}
{% set _ = sanitizer_list.append("address") %}
{% set model_code = "-mcmodel=large" %}
{% elif "Thread" in sanitizers %}
{% set _ = sanitizer_list.append("thread") %}
{% set model_code = "-mcmodel=medium" %}
{% set extra_cxxflags = extra_cxxflags ~ " -Wno-tsan" %}
{% endif %}
{% if "UndefinedBehavior" in sanitizers or "UndefinedBehavior" in sanitizers %}
{% set _ = sanitizer_list.append("undefined") %}
{% set _ = sanitizer_list.append("float-divide-by-zero") %}
{% endif %}
{% set sanitizer_flags = "-fsanitize=" ~ ",".join(sanitizer_list) ~ " " ~ model_code %}
tools.build:cxxflags+=['{{sanitizer_flags}} {{extra_cxxflags}}']
tools.build:sharedlinkflags+=['{{sanitizer_flags}}']
tools.build:exelinkflags+=['{{sanitizer_flags}}']
{% endif %}
{% elif compiler == "apple-clang" or compiler == "clang" %}
{% if "Address" in sanitizers or "Thread" in sanitizers or "UndefinedBehavior" in sanitizers %}
{% set sanitizer_list = [] %}
{% set extra_cxxflags = "-fno-omit-frame-pointer -fno-PIC -O1" %}
{% if "Address" in sanitizers %}
{% set _ = sanitizer_list.append("address") %}
{% elif "Thread" in sanitizers %}
{% set _ = sanitizer_list.append("thread") %}
{% endif %}
{% if "UndefinedBehavior" in sanitizers %}
{% set _ = sanitizer_list.append("undefined") %}
{% set _ = sanitizer_list.append("float-divide-by-zero") %}
{% set _ = sanitizer_list.append("unsigned-integer-overflow") %}
{% endif %}
{% set sanitizer_flags = "-fsanitize=" ~ ",".join(sanitizer_list) %}
tools.build:cxxflags+=['{{sanitizer_flags}} {{extra_cxxflags}}']
tools.build:sharedlinkflags+=['{{sanitizer_flags}}']
tools.build:exelinkflags+=['{{sanitizer_flags}}']
{% endif %}
{% endif %}
{% endif %}
tools.info.package_id:confs+=["tools.build:cxxflags", "tools.build:exelinkflags", "tools.build:sharedlinkflags"]

View File

@@ -1,152 +1,156 @@
from conan import ConanFile, __version__ as conan_version
from conan.tools.cmake import CMake, CMakeToolchain, cmake_layout
import re
from conan.tools.cmake import CMake, CMakeToolchain, cmake_layout
from conan import ConanFile
from conan import __version__ as conan_version
class Xrpl(ConanFile):
name = 'xrpl'
name = "xrpl"
license = 'ISC'
author = 'John Freeman <jfreeman@ripple.com>'
url = 'https://github.com/xrplf/rippled'
description = 'The XRP Ledger'
settings = 'os', 'compiler', 'build_type', 'arch'
license = "ISC"
author = "John Freeman <jfreeman@ripple.com>"
url = "https://github.com/xrplf/rippled"
description = "The XRP Ledger"
settings = "os", "compiler", "build_type", "arch"
options = {
'assertions': [True, False],
'coverage': [True, False],
'fPIC': [True, False],
'jemalloc': [True, False],
'rocksdb': [True, False],
'shared': [True, False],
'static': [True, False],
'tests': [True, False],
'unity': [True, False],
'xrpld': [True, False],
"assertions": [True, False],
"coverage": [True, False],
"fPIC": [True, False],
"jemalloc": [True, False],
"rocksdb": [True, False],
"shared": [True, False],
"static": [True, False],
"tests": [True, False],
"unity": [True, False],
"xrpld": [True, False],
}
requires = [
'grpc/1.50.1',
'libarchive/3.8.1',
'nudb/2.0.9',
'openssl/3.5.4',
'soci/4.0.3',
'wasm-xrplf/2.4.1-xrplf',
'zlib/1.3.1',
"ed25519/2015.03",
"grpc/1.50.1",
"libarchive/3.8.1",
"nudb/2.0.9",
"openssl/3.5.4",
"soci/4.0.3",
"zlib/1.3.1",
]
test_requires = [
'doctest/2.4.11',
"doctest/2.4.12",
]
tool_requires = [
'protobuf/3.21.12',
"protobuf/3.21.12",
]
default_options = {
'assertions': False,
'coverage': False,
'fPIC': True,
'jemalloc': False,
'rocksdb': True,
'shared': False,
'static': True,
'tests': False,
'unity': False,
'xrpld': False,
'date/*:header_only': True,
'grpc/*:shared': False,
'grpc/*:secure': True,
'libarchive/*:shared': False,
'libarchive/*:with_acl': False,
'libarchive/*:with_bzip2': False,
'libarchive/*:with_cng': False,
'libarchive/*:with_expat': False,
'libarchive/*:with_iconv': False,
'libarchive/*:with_libxml2': False,
'libarchive/*:with_lz4': True,
'libarchive/*:with_lzma': False,
'libarchive/*:with_lzo': False,
'libarchive/*:with_nettle': False,
'libarchive/*:with_openssl': False,
'libarchive/*:with_pcreposix': False,
'libarchive/*:with_xattr': False,
'libarchive/*:with_zlib': False,
'lz4/*:shared': False,
'openssl/*:shared': False,
'protobuf/*:shared': False,
'protobuf/*:with_zlib': True,
'rocksdb/*:enable_sse': False,
'rocksdb/*:lite': False,
'rocksdb/*:shared': False,
'rocksdb/*:use_rtti': True,
'rocksdb/*:with_jemalloc': False,
'rocksdb/*:with_lz4': True,
'rocksdb/*:with_snappy': True,
'snappy/*:shared': False,
'soci/*:shared': False,
'soci/*:with_sqlite3': True,
'soci/*:with_boost': True,
'xxhash/*:shared': False,
"assertions": False,
"coverage": False,
"fPIC": True,
"jemalloc": False,
"rocksdb": True,
"shared": False,
"static": True,
"tests": False,
"unity": False,
"xrpld": False,
"date/*:header_only": True,
"grpc/*:shared": False,
"grpc/*:secure": True,
"libarchive/*:shared": False,
"libarchive/*:with_acl": False,
"libarchive/*:with_bzip2": False,
"libarchive/*:with_cng": False,
"libarchive/*:with_expat": False,
"libarchive/*:with_iconv": False,
"libarchive/*:with_libxml2": False,
"libarchive/*:with_lz4": True,
"libarchive/*:with_lzma": False,
"libarchive/*:with_lzo": False,
"libarchive/*:with_nettle": False,
"libarchive/*:with_openssl": False,
"libarchive/*:with_pcreposix": False,
"libarchive/*:with_xattr": False,
"libarchive/*:with_zlib": False,
"lz4/*:shared": False,
"openssl/*:shared": False,
"protobuf/*:shared": False,
"protobuf/*:with_zlib": True,
"rocksdb/*:enable_sse": False,
"rocksdb/*:lite": False,
"rocksdb/*:shared": False,
"rocksdb/*:use_rtti": True,
"rocksdb/*:with_jemalloc": False,
"rocksdb/*:with_lz4": True,
"rocksdb/*:with_snappy": True,
"snappy/*:shared": False,
"soci/*:shared": False,
"soci/*:with_sqlite3": True,
"soci/*:with_boost": True,
"xxhash/*:shared": False,
}
def set_version(self):
if self.version is None:
path = f'{self.recipe_folder}/src/libxrpl/protocol/BuildInfo.cpp'
regex = r'versionString\s?=\s?\"(.*)\"'
with open(path, encoding='utf-8') as file:
path = f"{self.recipe_folder}/src/libxrpl/protocol/BuildInfo.cpp"
regex = r"versionString\s?=\s?\"(.*)\""
with open(path, encoding="utf-8") as file:
matches = (re.search(regex, line) for line in file)
match = next(m for m in matches if m)
self.version = match.group(1)
def configure(self):
if self.settings.compiler == 'apple-clang':
self.options['boost'].visibility = 'global'
if self.settings.compiler in ['clang', 'gcc']:
self.options['boost'].without_cobalt = True
if self.settings.compiler == "apple-clang":
self.options["boost"].visibility = "global"
if self.settings.compiler in ["clang", "gcc"]:
self.options["boost"].without_cobalt = True
def requirements(self):
# Conan 2 requires transitive headers to be specified
transitive_headers_opt = {'transitive_headers': True} if conan_version.split('.')[0] == '2' else {}
self.requires('boost/1.88.0', force=True, **transitive_headers_opt)
self.requires('date/3.0.4', **transitive_headers_opt)
self.requires('lz4/1.10.0', force=True)
self.requires('protobuf/3.21.12', force=True)
self.requires('sqlite3/3.49.1', force=True)
transitive_headers_opt = (
{"transitive_headers": True} if conan_version.split(".")[0] == "2" else {}
)
self.requires("boost/1.88.0", force=True, **transitive_headers_opt)
self.requires("date/3.0.4", **transitive_headers_opt)
self.requires("lz4/1.10.0", force=True)
self.requires("protobuf/3.21.12", force=True)
self.requires("sqlite3/3.49.1", force=True)
if self.options.jemalloc:
self.requires('jemalloc/5.3.0')
self.requires("jemalloc/5.3.0")
if self.options.rocksdb:
self.requires('rocksdb/10.0.1')
self.requires('xxhash/0.8.3', **transitive_headers_opt)
self.requires("rocksdb/10.5.1")
self.requires("xxhash/0.8.3", **transitive_headers_opt)
exports_sources = (
'CMakeLists.txt',
'cfg/*',
'cmake/*',
'external/*',
'include/*',
'src/*',
"CMakeLists.txt",
"cfg/*",
"cmake/*",
"external/*",
"include/*",
"src/*",
)
def layout(self):
cmake_layout(self)
# Fix this setting to follow the default introduced in Conan 1.48
# to align with our build instructions.
self.folders.generators = 'build/generators'
self.folders.generators = "build/generators"
generators = 'CMakeDeps'
generators = "CMakeDeps"
def generate(self):
tc = CMakeToolchain(self)
tc.variables['tests'] = self.options.tests
tc.variables['assert'] = self.options.assertions
tc.variables['coverage'] = self.options.coverage
tc.variables['jemalloc'] = self.options.jemalloc
tc.variables['rocksdb'] = self.options.rocksdb
tc.variables['BUILD_SHARED_LIBS'] = self.options.shared
tc.variables['static'] = self.options.static
tc.variables['unity'] = self.options.unity
tc.variables['xrpld'] = self.options.xrpld
tc.variables["tests"] = self.options.tests
tc.variables["assert"] = self.options.assertions
tc.variables["coverage"] = self.options.coverage
tc.variables["jemalloc"] = self.options.jemalloc
tc.variables["rocksdb"] = self.options.rocksdb
tc.variables["BUILD_SHARED_LIBS"] = self.options.shared
tc.variables["static"] = self.options.static
tc.variables["unity"] = self.options.unity
tc.variables["xrpld"] = self.options.xrpld
tc.generate()
def build(self):
@@ -161,41 +165,41 @@ class Xrpl(ConanFile):
cmake.install()
def package_info(self):
libxrpl = self.cpp_info.components['libxrpl']
libxrpl = self.cpp_info.components["libxrpl"]
libxrpl.libs = [
'xrpl',
'xrpl.libpb',
'ed25519',
'secp256k1',
"xrpl",
"xrpl.libpb",
"ed25519",
"secp256k1",
]
# TODO: Fix the protobufs to include each other relative to
# `include/`, not `include/ripple/proto/`.
libxrpl.includedirs = ['include', 'include/ripple/proto']
libxrpl.includedirs = ["include", "include/ripple/proto"]
libxrpl.requires = [
'boost::headers',
'boost::chrono',
'boost::container',
'boost::coroutine',
'boost::date_time',
'boost::filesystem',
'boost::json',
'boost::program_options',
'boost::process',
'boost::regex',
'boost::system',
'boost::thread',
'date::date',
'grpc::grpc++',
'libarchive::libarchive',
'lz4::lz4',
'nudb::nudb',
'openssl::crypto',
'protobuf::libprotobuf',
'soci::soci',
'sqlite3::sqlite',
'wasm-xrplf::wasm-xrplf',
'xxhash::xxhash',
'zlib::zlib',
"boost::headers",
"boost::chrono",
"boost::container",
"boost::coroutine",
"boost::date_time",
"boost::filesystem",
"boost::json",
"boost::program_options",
"boost::process",
"boost::regex",
"boost::system",
"boost::thread",
"date::date",
"ed25519::ed25519",
"grpc::grpc++",
"libarchive::libarchive",
"lz4::lz4",
"nudb::nudb",
"openssl::crypto",
"protobuf::libprotobuf",
"soci::soci",
"sqlite3::sqlite",
"xxhash::xxhash",
"zlib::zlib",
]
if self.options.rocksdb:
libxrpl.requires.append('rocksdb::librocksdb')
libxrpl.requires.append("rocksdb::librocksdb")

183
docs/build/sanitizers.md vendored Normal file
View File

@@ -0,0 +1,183 @@
# Sanitizer Configuration for Rippled
This document explains how to properly configure and run sanitizers (AddressSanitizer, UndefinedBehaviorSanitizer, ThreadSanitizer) with the rippled project.
Corresponding suppression files are located in the `sanitizers/suppressions` directory.
- [Sanitizer Configuration for Rippled](#sanitizer-configuration-for-rippled)
- [Building with Sanitizers](#building-with-sanitizers)
- [AddressSanitizer (ASan) + UndefinedBehaviorSanitizer (UBSan)](#addresssanitizer-asan--undefinedbehaviorsanitizer-ubsan)
- [ThreadSanitizer (TSan) + UndefinedBehaviorSanitizer (UBSan)](#threadsanitizer-tsan--undefinedbehaviorsanitizer-ubsan)
- [Just UndefinedBehaviorSanitizer (UBSan)](#just-undefinedbehaviorsanitizer-ubsan)
- [Running Tests with Sanitizers](#running-tests-with-sanitizers)
- [AddressSanitizer (ASan)](#addresssanitizer-asan)
- [ThreadSanitizer (TSan)](#threadsanitizer-tsan)
- [LeakSanitizer (LSan)](#leaksanitizer-lsan)
- [Suppression Files](#suppression-files)
- [asan.supp](#asansupp)
- [lsan.supp](#lsansupp)
- [ubsan.supp](#ubsansupp)
- [tsan.supp](#tsansupp)
- [Ignorelist](#sanitizer-ignorelisttxt)
- [Known False Positives](#known-false-positives)
- [References](#references)
## Building with Sanitizers
### Summary
Follow the same instructions as mentioned in [BUILD.md](../../BUILD.md) but with following changes:
1. Make sure you have clean build directory.
2. Use `--profile sanitizers` to configure build options to include sanitizer flags. [sanitizes](../../conan/profiles/sanitizers) profile contains settings for all sanitizers.
3. Set `ASAN_OPTIONS`, `LSAN_OPTIONS` ,`UBSAN_OPTIONS` and `TSAN_OPTIONS` environment variables to configure sanitizer behavior when running executables.
---
### Build steps:
```bash
cd /path/to/rippled
rm -rf .build
mkdir .build
cd .build
```
#### AddressSanitizer (ASan) + UndefinedBehaviorSanitizer (UBSan)
Build with AddressSanitizer+UndefinedBehavior sanitizers (or you can choose just one of them).
```bash
SANITIZERS=Address,UndefinedBehavior conan install .. --output-folder . --profile sanitizers --build missing --settings build_type=Release
```
#### ThreadSanitizer (TSan) + UndefinedBehaviorSanitizer (UBSan)
```bash
# Build dependencies with Thread sanitizer
SANITIZERS=Thread,UndefinedBehavior conan install .. --output-folder . --profile sanitizers --build missing --settings build_type=Release
```
#### Just UndefinedBehaviorSanitizer (UBSan)
```bash
# Build dependencies with Thread sanitizer
SANITIZERS=UndefinedBehavior conan install .. --output-folder . --profile sanitizers --build missing --settings build_type=Release
```
Use `--profile:all sanitizers` if you would like to build all dependencies and libraries (boost etc.) with sanitizers. This might take long time but you won't see some false-positives on sanitizer reports since whole binary will be instrumented.
To build with Thread+UndefinedBehavior Sanitizer, replace `SANITIZERS=Address` with `SANITIZERS=Thread`.
# Configure CMake
```bash
cmake .. -G Ninja -DCMAKE_TOOLCHAIN_FILE:FILEPATH=build/generators/conan_toolchain.cmake -Dunity=ON -Dtests=ON -Dxrpld=ON
# Build
cmake --build . --parallel 4
```
## Running Tests with Sanitizers
### AddressSanitizer (ASan)
**IMPORTANT**: ASan with Boost produces many false positives. Use these options:
```bash
export ASAN_OPTIONS="detect_container_overflow=0 suppressions=path/to/asan.supp halt_on_error=0 log_path=asan.log"
export UBSAN_OPTIONS="suppressions=path/to/ubsan.supp print_stacktrace=1 halt_on_error=0 log_path=ubsan.log"
export LSAN_OPTIONS="suppressions=path/to/lsan.supp halt_on_error=0 log_path=lsan.log"
# Run tests
./rippled --unittest --unittest-jobs=5
```
**Why `detect_container_overflow=0`?**
- Boost intrusive containers (used in `aged_unordered_container`) trigger false positives
- Boost context switching (used in `Workers.cpp`) confuses ASan's stack tracking
- Since we usually don't build boost(because we don't want to instrument boost and detect issues in boost code) with asan but use boost containers in ASAN instrumented rippled code, it generates false positives.
- See: https://github.com/google/sanitizers/wiki/AddressSanitizerContainerOverflow
### ThreadSanitizer (TSan) + UndefinedBehaviorSanitizer (UBSan)
```bash
export TSAN_OPTIONS="suppressions=path/to/tsan.supp halt_on_error=0 log_path=tsan.log"
# Run tests
./rippled --unittest --unittest-jobs=5
```
### LeakSanitizer (LSan)
LSan is automatically enabled with ASan. To disable it:
```bash
export ASAN_OPTIONS="detect_leaks=0"
```
## Suppression Files
### `asan.supp`
- **Purpose**: Suppress AddressSanitizer (ASan) errors only
- **Format**: `interceptor_name:<pattern>` where pattern matches file names. Supported suppression types are:
- interceptor_name
- interceptor_via_fun
- interceptor_via_lib
- odr_violation
- **More info**: [AddressSanitizer](https://github.com/google/sanitizers/wiki/AddressSanitizer)
- **Note**: Cannot suppress stack-buffer-overflow, container-overflow, etc.
### `lsan.supp`
- **Purpose**: Suppress LeakSanitizer (LSan) errors only
- **Format**: `leak:<pattern>` where pattern matches function/file names
- **More info**: [LeakSanitizer](https://github.com/google/sanitizers/wiki/AddressSanitizerLeakSanitizer)
### `ubsan.supp`
- **Purpose**: Suppress UndefinedBehaviorSanitizer errors
- **Format**: `<error_type>:<pattern>` (e.g., `unsigned-integer-overflow:protobuf`)
- **Covers**: Intentional overflows in sanitizers/suppressions libraries (protobuf, gRPC, stdlib)
### `tsan.supp`
- **Purpose**: Suppress ThreadSanitizer data race warnings
- **Format**: `race:<pattern>` where pattern matches function/file names
- **More info**: [ThreadSanitizerSuppressions](https://github.com/google/sanitizers/wiki/ThreadSanitizerSuppressions)
### `sanitizer-ignorelist.txt`
- **Purpose**: Compile-time ignorelist for all sanitizers
- **Usage**: Passed via `-fsanitize-ignorelist=absolute/path/to/sanitizer-ignorelist.txt`
- **Format**: `<level>:<pattern>` (e.g., `src:Workers.cpp`)
## Troubleshooting
### "ASan is ignoring requested \_\_asan_handle_no_return" warnings
These warnings appear when using Boost context switching and are harmless. They indicate potential false positives.
### Sanitizer Mismatch Errors
If you see undefined symbols like `___tsan_atomic_load` when building with ASan:
**Problem**: Dependencies were built with a different sanitizer than the main project.
**Solution**: Rebuild everything with the same sanitizer:
```bash
rm -rf .build
# Then follow the build instructions above
```
Then review the log files: `asan.log.*`, `ubsan.log.*`, `tsan.log.*`
## References
- [AddressSanitizer Wiki](https://github.com/google/sanitizers/wiki/AddressSanitizer)
- [AddressSanitizer Flags](https://github.com/google/sanitizers/wiki/AddressSanitizerFlags)
- [Container Overflow Detection](https://github.com/google/sanitizers/wiki/AddressSanitizerContainerOverflow)
- [UndefinedBehaviorSanitizer](https://clang.llvm.org/docs/UndefinedBehaviorSanitizer.html)
- [ThreadSanitizer](https://github.com/google/sanitizers/wiki/ThreadSanitizerCppManual)

1
external/README.md vendored
View File

@@ -5,5 +5,4 @@ The subdirectories in this directory contain external libraries used by rippled.
| Folder | Upstream | Description |
| :--------------- | :------------------------------------------------------------- | :------------------------------------------------------------------------------------------- |
| `antithesis-sdk` | [Project](https://github.com/antithesishq/antithesis-sdk-cpp/) | [Antithesis](https://antithesis.com/docs/using_antithesis/sdk/cpp/overview.html) SDK for C++ |
| `ed25519-donna` | [Project](https://github.com/floodyberry/ed25519-donna) | [Ed25519](http://ed25519.cr.yp.to/) digital signatures |
| `secp256k1` | [Project](https://github.com/bitcoin-core/secp256k1) | ECDSA digital signatures using the **secp256k1** curve |

View File

@@ -1,51 +0,0 @@
cmake_minimum_required(VERSION 3.11)
project(ed25519
LANGUAGES C
)
if(PROJECT_NAME STREQUAL CMAKE_PROJECT_NAME)
set(CMAKE_ARCHIVE_OUTPUT_DIRECTORY "${PROJECT_BINARY_DIR}/output/$<CONFIG>/lib")
endif()
if(NOT TARGET OpenSSL::SSL)
find_package(OpenSSL)
endif()
add_library(ed25519 STATIC
ed25519.c
)
add_library(ed25519::ed25519 ALIAS ed25519)
target_link_libraries(ed25519 PUBLIC OpenSSL::SSL)
if(NOT MSVC)
target_compile_options(ed25519 PRIVATE -Wno-implicit-fallthrough)
endif()
include(GNUInstallDirs)
#[=========================================================[
NOTE for macos:
https://github.com/floodyberry/ed25519-donna/issues/29
our source for ed25519-donna-portable.h has been
patched to workaround this.
#]=========================================================]
target_include_directories(ed25519 PUBLIC
$<INSTALL_INTERFACE:${CMAKE_INSTALL_INCLUDEDIR}>
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}>
)
install(
TARGETS ed25519
EXPORT ${PROJECT_NAME}-exports
ARCHIVE DESTINATION "${CMAKE_INSTALL_LIBDIR}"
)
install(
EXPORT ${PROJECT_NAME}-exports
DESTINATION "${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME}"
FILE ${PROJECT_NAME}-targets.cmake
NAMESPACE ${PROJECT_NAME}::
)
install(
FILES ed25519.h
DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}"
)

View File

@@ -1,183 +0,0 @@
[ed25519](http://ed25519.cr.yp.to/) is an
[Elliptic Curve Digital Signature Algortithm](http://en.wikipedia.org/wiki/Elliptic_Curve_DSA),
developed by [Dan Bernstein](http://cr.yp.to/djb.html),
[Niels Duif](http://www.nielsduif.nl/),
[Tanja Lange](http://hyperelliptic.org/tanja),
[Peter Schwabe](http://www.cryptojedi.org/users/peter/),
and [Bo-Yin Yang](http://www.iis.sinica.edu.tw/pages/byyang/).
This project provides performant, portable 32-bit & 64-bit implementations. All implementations are
of course constant time in regard to secret data.
#### Performance
SSE2 code and benches have not been updated yet. I will do those next.
Compilers versions are gcc 4.6.3, icc 13.1.1, clang 3.4-1~exp1.
Batch verification time (in parentheses) is the average time per 1 verification in a batch of 64 signatures. Counts are in thousands of cycles.
Note that SSE2 performance may be less impressive on AMD & older CPUs with slower SSE ops!
Visual Studio performance for `ge25519_scalarmult_base_niels` will lag behind a bit until optimized assembler versions of `ge25519_scalarmult_base_choose_niels`
are made.
##### E5200 @ 2.5ghz, march=core2
<table>
<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>
<tbody>
<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>
<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>
<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>
<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>
<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>
<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>
</tbody>
</table>
##### E3-1270 @ 3.4ghz, march=corei7-avx
<table>
<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>
<tbody>
<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>
<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>
<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>
<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>
<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>
<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>
</tbody>
</table>
#### Compilation
No configuration is needed **if you are compiling against OpenSSL**.
##### Hash Options
If you are not compiling aginst OpenSSL, you will need a hash function.
To use a simple/**slow** implementation of SHA-512, use `-DED25519_REFHASH` when compiling `ed25519.c`.
This should never be used except to verify the code works when OpenSSL is not available.
To use a custom hash function, use `-DED25519_CUSTOMHASH` when compiling `ed25519.c` and put your
custom hash implementation in ed25519-hash-custom.h. The 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);
##### Random Options
If you are not compiling aginst OpenSSL, you will need a random function for batch verification.
To use a custom random function, use `-DED25519_CUSTOMRANDOM` when compiling `ed25519.c` and put your
custom hash implementation in ed25519-randombytes-custom.h. The random function must implement:
void ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len);
Use `-DED25519_TEST` when compiling `ed25519.c` to use a deterministically seeded, non-thread safe CSPRNG
variant of Bob Jenkins [ISAAC](http://en.wikipedia.org/wiki/ISAAC_%28cipher%29)
##### Minor options
Use `-DED25519_INLINE_ASM` to disable the use of custom assembler routines and instead rely on portable C.
Use `-DED25519_FORCE_32BIT` to force the use of 32 bit routines even when compiling for 64 bit.
##### 32-bit
gcc ed25519.c -m32 -O3 -c
##### 64-bit
gcc ed25519.c -m64 -O3 -c
##### SSE2
gcc ed25519.c -m32 -O3 -c -DED25519_SSE2 -msse2
gcc ed25519.c -m64 -O3 -c -DED25519_SSE2
clang and icc are also supported
#### Usage
To use the code, link against `ed25519.o -mbits` and:
#include "ed25519.h"
Add `-lssl -lcrypto` when using OpenSSL (Some systems don't need -lcrypto? It might be trial and error).
To generate a private key, simply generate 32 bytes from a secure
cryptographic source:
ed25519_secret_key sk;
randombytes(sk, sizeof(ed25519_secret_key));
To generate a public key:
ed25519_public_key pk;
ed25519_publickey(sk, pk);
To sign a message:
ed25519_signature sig;
ed25519_sign(message, message_len, sk, pk, signature);
To verify a signature:
int valid = ed25519_sign_open(message, message_len, pk, signature) == 0;
To batch verify signatures:
const unsigned char *mp[num] = {message1, message2..}
size_t ml[num] = {message_len1, message_len2..}
const unsigned char *pkp[num] = {pk1, pk2..}
const unsigned char *sigp[num] = {signature1, signature2..}
int valid[num]
/* valid[i] will be set to 1 if the individual signature was valid, 0 otherwise */
int all_valid = ed25519_sign_open_batch(mp, ml, pkp, sigp, num, valid) == 0;
**Note**: Batch verification uses `ed25519_randombytes_unsafe`, implemented in
`ed25519-randombytes.h`, to generate random scalars for the verification code.
The default implementation now uses OpenSSLs `RAND_bytes`.
Unlike the [SUPERCOP](http://bench.cr.yp.to/supercop.html) version, signatures are
not appended to messages, and there is no need for padding in front of messages.
Additionally, the secret key does not contain a copy of the public key, so it is
32 bytes instead of 64 bytes, and the public key must be provided to the signing
function.
##### Curve25519
Curve25519 public keys can be generated thanks to
[Adam Langley](http://www.imperialviolet.org/2013/05/10/fastercurve25519.html)
leveraging Ed25519's precomputed basepoint scalar multiplication.
curved25519_key sk, pk;
randombytes(sk, sizeof(curved25519_key));
curved25519_scalarmult_basepoint(pk, sk);
Note the name is curved25519, a combination of curve and ed25519, to prevent
name clashes. Performance is slightly faster than short message ed25519
signing due to both using the same code for the scalar multiply.
#### Testing
Fuzzing against reference implemenations is now available. See [fuzz/README](fuzz/README.md).
Building `ed25519.c` with `-DED25519_TEST` and linking with `test.c` will run basic sanity tests
and benchmark each function. `test-batch.c` has been incorporated in to `test.c`.
`test-internals.c` is standalone and built the same way as `ed25519.c`. It tests the math primitives
with extreme values to ensure they function correctly. SSE2 is now supported.
#### Papers
[Available on the Ed25519 website](http://ed25519.cr.yp.to/papers.html)

View File

@@ -1,579 +0,0 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
See: https://github.com/floodyberry/curve25519-donna
32 bit integer curve25519 implementation
*/
typedef uint32_t bignum25519[10];
typedef uint32_t bignum25519align16[12];
static const uint32_t reduce_mask_25 = (1 << 25) - 1;
static const uint32_t reduce_mask_26 = (1 << 26) - 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[5] = in[5];
out[6] = in[6];
out[7] = in[7];
out[8] = in[8];
out[9] = in[9];
}
/* 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[5] = a[5] + b[5];
out[6] = a[6] + b[6];
out[7] = a[7] + b[7];
out[8] = a[8] + b[8];
out[9] = a[9] + b[9];
}
DONNA_INLINE static void
curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
uint32_t c;
out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
out[0] += 19 * c;
}
DONNA_INLINE static void
curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
uint32_t c;
out[0] = a[0] + b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
out[1] = a[1] + b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
out[2] = a[2] + b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
out[3] = a[3] + b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
out[4] = a[4] + b[4] + c; c = (out[4] >> 26); out[4] &= reduce_mask_26;
out[5] = a[5] + b[5] + c; c = (out[5] >> 25); out[5] &= reduce_mask_25;
out[6] = a[6] + b[6] + c; c = (out[6] >> 26); out[6] &= reduce_mask_26;
out[7] = a[7] + b[7] + c; c = (out[7] >> 25); out[7] &= reduce_mask_25;
out[8] = a[8] + b[8] + c; c = (out[8] >> 26); out[8] &= reduce_mask_26;
out[9] = a[9] + b[9] + c; c = (out[9] >> 25); out[9] &= reduce_mask_25;
out[0] += 19 * c;
}
/* multiples of p */
static const uint32_t twoP0 = 0x07ffffda;
static const uint32_t twoP13579 = 0x03fffffe;
static const uint32_t twoP2468 = 0x07fffffe;
static const uint32_t fourP0 = 0x0fffffb4;
static const uint32_t fourP13579 = 0x07fffffc;
static const uint32_t fourP2468 = 0x0ffffffc;
/* out = a - b */
DONNA_INLINE static void
curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) {
uint32_t c;
out[0] = twoP0 + a[0] - b[0] ; c = (out[0] >> 26); out[0] &= reduce_mask_26;
out[1] = twoP13579 + a[1] - b[1] + c; c = (out[1] >> 25); out[1] &= reduce_mask_25;
out[2] = twoP2468 + a[2] - b[2] + c; c = (out[2] >> 26); out[2] &= reduce_mask_26;
out[3] = twoP13579 + a[3] - b[3] + c; c = (out[3] >> 25); out[3] &= reduce_mask_25;
out[4] = twoP2468 + a[4] - b[4] + c;
out[5] = twoP13579 + a[5] - b[5] ;
out[6] = twoP2468 + a[6] - b[6] ;
out[7] = twoP13579 + a[7] - b[7] ;
out[8] = twoP2468 + a[8] - b[8] ;
out[9] = twoP13579 + a[9] - b[9] ;
}
/* out = a - b, where a is the result of a basic op (add,sub) */
DONNA_INLINE static void
curve25519_sub_after_basic(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;
}
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;
}

View File

@@ -1,413 +0,0 @@
/*
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

View File

@@ -1,67 +0,0 @@
/*
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

View File

@@ -1,513 +0,0 @@
#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) */

View File

@@ -1,61 +0,0 @@
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}}
};

View File

@@ -1,436 +0,0 @@
#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) */

View File

@@ -1,53 +0,0 @@
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}}
};

View File

@@ -1,435 +0,0 @@
#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) */

View File

@@ -1,357 +0,0 @@
#if defined(ED25519_GCC_64BIT_X86_CHOOSE)
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
#if defined(__clang__) || defined (__GNUC__)
# define ATTRIBUTE_NO_SANITIZE_ADDRESS __attribute__((no_sanitize_address))
#else
# define ATTRIBUTE_NO_SANITIZE_ADDRESS
#endif
ATTRIBUTE_NO_SANITIZE_ADDRESS 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) */

View File

@@ -1,259 +0,0 @@
/* 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},
{0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44},
{0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68},
{0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78},
{0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23},
{0xd9,0x34,0x92,0xf3,0xed,0x5d,0xa7,0xe2,0xf9,0x58,0xb5,0xe1,0x80,0x76,0x3d,0x96,0xfb,0x23,0x3c,0x6e,0xac,0x41,0x27,0x2c,0xc3,0x01,0x0e,0x32,0xa1,0x24,0x90,0x3a,0x8f,0x3e,0xdd,0x04,0x66,0x59,0xb7,0x59,0x2c,0x70,0x88,0xe2,0x77,0x03,0xb3,0x6c,0x23,0xc3,0xd9,0x5e,0x66,0x9c,0x33,0xb1,0x2f,0xe5,0xbc,0x61,0x60,0xe7,0x15,0x09,0x7e,0xa3,0x34,0xa8,0x35,0xe8,0x7d,0xdf,0xea,0x57,0x98,0x68,0xda,0x9c,0xe1,0x8b,0x26,0xb3,0x67,0x71,0x36,0x85,0x11,0x2c,0xc2,0xd5,0xef,0xdb,0xd9,0xb3,0x9e,0x58},
{0x5e,0x51,0xaa,0x49,0x54,0x63,0x5b,0xed,0x3a,0x82,0xc6,0x0b,0x9f,0xc4,0x65,0xa8,0xc4,0xd1,0x42,0x5b,0xe9,0x1f,0x0c,0x85,0xb9,0x15,0xd3,0x03,0x6f,0x6d,0xd7,0x30,0x1d,0x9c,0x2f,0x63,0x0e,0xdd,0xcc,0x2e,0x15,0x31,0x89,0x76,0x96,0xb6,0xd0,0x51,0x58,0x7a,0x63,0xa8,0x6b,0xb7,0xdf,0x52,0x39,0xef,0x0e,0xa0,0x49,0x7d,0xd3,0x6d,0xc7,0xe4,0x06,0x21,0x17,0x44,0x44,0x6c,0x69,0x7f,0x8d,0x92,0x80,0xd6,0x53,0xfb,0x26,0x3f,0x4d,0x69,0xa4,0x9e,0x73,0xb4,0xb0,0x4b,0x86,0x2e,0x11,0x97,0xc6,0x10},
{0xde,0x5f,0xbe,0x7d,0x27,0xc4,0x93,0x64,0xa2,0x7e,0xad,0x19,0xad,0x4f,0x5d,0x26,0x90,0x45,0x30,0x46,0xc8,0xdf,0x00,0x0e,0x09,0xfe,0x66,0xed,0xab,0x1c,0xe6,0x25,0x05,0xc8,0x58,0x83,0xa0,0x2a,0xa6,0x0c,0x47,0x42,0x20,0x7a,0xe3,0x4a,0x3d,0x6a,0xdc,0xed,0x11,0x3b,0xa6,0xd3,0x64,0x74,0xef,0x06,0x08,0x55,0xaf,0x9b,0xbf,0x03,0x04,0x66,0x58,0xcc,0x28,0xe1,0x13,0x3f,0x7e,0x74,0x59,0xb4,0xec,0x73,0x58,0x6f,0xf5,0x68,0x12,0xcc,0xed,0x3d,0xb6,0xa0,0x2c,0xe2,0x86,0x45,0x63,0x78,0x6d,0x56},
{0x34,0x08,0xc1,0x9c,0x9f,0xa4,0x37,0x16,0x51,0xc4,0x9b,0xa8,0xd5,0x56,0x8e,0xbc,0xdb,0xd2,0x7f,0x7f,0x0f,0xec,0xb5,0x1c,0xd9,0x35,0xcc,0x5e,0xca,0x5b,0x97,0x33,0xd0,0x2f,0x5a,0xc6,0x85,0x42,0x05,0xa1,0xc3,0x67,0x16,0xf3,0x2a,0x11,0x64,0x6c,0x58,0xee,0x1a,0x73,0x40,0xe2,0x0a,0x68,0x2a,0xb2,0x93,0x47,0xf3,0xa5,0xfb,0x14,0xd4,0xf7,0x85,0x69,0x16,0x46,0xd7,0x3c,0x57,0x00,0xc8,0xc9,0x84,0x5e,0x3e,0x59,0x1e,0x13,0x61,0x7b,0xb6,0xf2,0xc3,0x2f,0x6c,0x52,0xfc,0x83,0xea,0x9c,0x82,0x14},
{0xc2,0x95,0xdd,0x97,0x84,0x7b,0x43,0xff,0xa7,0xb5,0x4e,0xaa,0x30,0x4e,0x74,0x6c,0x8b,0xe8,0x85,0x3c,0x61,0x5d,0x0c,0x9e,0x73,0x81,0x75,0x5f,0x1e,0xc7,0xd9,0x2f,0xb8,0xec,0x71,0x4e,0x2f,0x0b,0xe7,0x21,0xe3,0x77,0xa4,0x40,0xb9,0xdd,0x56,0xe6,0x80,0x4f,0x1d,0xce,0xce,0x56,0x65,0xbf,0x7e,0x7b,0x5d,0x53,0xc4,0x3b,0xfc,0x05,0xdd,0xde,0xaf,0x52,0xae,0xb3,0xb8,0x24,0xcf,0x30,0x3b,0xed,0x8c,0x63,0x95,0x34,0x95,0x81,0xbe,0xa9,0x83,0xbc,0xa4,0x33,0x04,0x1f,0x65,0x5c,0x47,0x67,0x37,0x37},
{0xd9,0xad,0xd1,0x40,0xfd,0x99,0xba,0x2f,0x27,0xd0,0xf4,0x96,0x6f,0x16,0x07,0xb3,0xae,0x3b,0xf0,0x15,0x52,0xf0,0x63,0x43,0x99,0xf9,0x18,0x3b,0x6c,0xa5,0xbe,0x1f,0x90,0x65,0x24,0x14,0xcb,0x95,0x40,0x63,0x35,0x55,0xc1,0x16,0x40,0x14,0x12,0xef,0x60,0xbc,0x10,0x89,0x0c,0x14,0x38,0x9e,0x8c,0x7c,0x90,0x30,0x57,0x90,0xf5,0x6b,0x8a,0x5b,0x41,0xe1,0xf1,0x78,0xa7,0x0f,0x7e,0xa7,0xc3,0xba,0xf7,0x9f,0x40,0x06,0x50,0x9a,0xa2,0x9a,0xb8,0xd7,0x52,0x6f,0x56,0x5a,0x63,0x7a,0xf6,0x1c,0x52,0x02},
{0x94,0x52,0x9d,0x0a,0x0b,0xee,0x3f,0x51,0x66,0x5a,0xdf,0x0f,0x5c,0xe7,0x98,0x8f,0xce,0x07,0xe1,0xbf,0x88,0x86,0x61,0xd4,0xed,0x2c,0x38,0x71,0x7e,0x0a,0xa0,0x3f,0xe4,0x5e,0x2f,0x77,0x20,0x67,0x14,0xb1,0xce,0x9a,0x07,0x96,0xb1,0x94,0xf8,0xe8,0x4a,0x82,0xac,0x00,0x4d,0x22,0xf8,0x4a,0xc4,0x6c,0xcd,0xf7,0xd9,0x53,0x17,0x00,0x34,0xdb,0x3d,0x96,0x2d,0x23,0x69,0x3c,0x58,0x38,0x97,0xb4,0xda,0x87,0xde,0x1d,0x85,0xf2,0x91,0xa0,0xf9,0xd1,0xd7,0xaa,0xb6,0xed,0x48,0xa0,0x2f,0xfe,0xb5,0x12},
{0x4d,0xe3,0xfc,0x96,0xc4,0xfb,0xf0,0x71,0xed,0x5b,0xf3,0xad,0x6b,0x82,0xb9,0x73,0x61,0xc5,0x28,0xff,0x61,0x72,0x04,0xd2,0x6f,0x20,0xb1,0x6f,0xf9,0x76,0x9b,0x74,0x92,0x1e,0x6f,0xad,0x26,0x7c,0x2b,0xdf,0x13,0x89,0x4b,0x50,0x23,0xd3,0x66,0x4b,0xc3,0x8b,0x1c,0x75,0xc0,0x9d,0x40,0x8c,0xb8,0xc7,0x96,0x07,0xc2,0x93,0x7e,0x6f,0x05,0xae,0xa6,0xae,0x04,0xf6,0x5a,0x1f,0x99,0x9c,0xe4,0xbe,0xf1,0x51,0x23,0xc1,0x66,0x6b,0xff,0xee,0xb5,0x08,0xa8,0x61,0x51,0x21,0xe0,0x01,0x0f,0xc1,0xce,0x0f},
{0x44,0x1e,0xfe,0x49,0xa6,0x58,0x4d,0x64,0x7e,0x77,0xad,0x31,0xa2,0xae,0xfc,0x21,0xd2,0xd0,0x7f,0x88,0x5a,0x1c,0x44,0x02,0xf3,0x11,0xc5,0x83,0x71,0xaa,0x01,0x49,0x45,0x4e,0x24,0xc4,0x9d,0xd2,0xf2,0x3d,0x0a,0xde,0xd8,0x93,0x74,0x0e,0x02,0x2b,0x4d,0x21,0x0c,0x82,0x7e,0x06,0xc8,0x6c,0x0a,0xb9,0xea,0x6f,0x16,0x79,0x37,0x41,0xf0,0xf8,0x1a,0x8c,0x54,0xb7,0xb1,0x08,0xb4,0x99,0x62,0x24,0x7c,0x7a,0x0f,0xce,0x39,0xd9,0x06,0x1e,0xf9,0xb0,0x60,0xf7,0x13,0x12,0x6d,0x72,0x7b,0x88,0xbb,0x41},
{0xbe,0x46,0x43,0x74,0x44,0x7d,0xe8,0x40,0x25,0x2b,0xb5,0x15,0xd4,0xda,0x48,0x1d,0x3e,0x60,0x3b,0xa1,0x18,0x8a,0x3a,0x7c,0xf7,0xbd,0xcd,0x2f,0xc1,0x28,0xb7,0x4e,0xae,0x91,0x66,0x7c,0x59,0x4c,0x23,0x7e,0xc8,0xb4,0x85,0x0a,0x3d,0x9d,0x88,0x64,0xe7,0xfa,0x4a,0x35,0x0c,0xc9,0xe2,0xda,0x1d,0x9e,0x6a,0x0c,0x07,0x1e,0x87,0x0a,0x89,0x89,0xbc,0x4b,0x99,0xb5,0x01,0x33,0x60,0x42,0xdd,0x5b,0x3a,0xae,0x6b,0x73,0x3c,0x9e,0xd5,0x19,0xe2,0xad,0x61,0x0d,0x64,0xd4,0x85,0x26,0x0f,0x30,0xe7,0x3e},
{0xb7,0xd6,0x7d,0x9e,0xe4,0x55,0xd2,0xf5,0xac,0x1e,0x0b,0x61,0x5c,0x11,0x16,0x80,0xca,0x87,0xe1,0x92,0x5d,0x97,0x99,0x3c,0xc2,0x25,0x91,0x97,0x62,0x57,0x81,0x13,0x18,0x75,0x1e,0x84,0x47,0x79,0xfa,0x43,0xd7,0x46,0x9c,0x63,0x59,0xfa,0xc6,0xe5,0x74,0x2b,0x05,0xe3,0x1d,0x5e,0x06,0xa1,0x30,0x90,0xb8,0xcf,0xa2,0xc6,0x47,0x7d,0xe0,0xd6,0xf0,0x8e,0x14,0xd0,0xda,0x3f,0x3c,0x6f,0x54,0x91,0x9a,0x74,0x3e,0x9d,0x57,0x81,0xbb,0x26,0x10,0x62,0xec,0x71,0x80,0xec,0xc9,0x34,0x8d,0xf5,0x8c,0x14},
{0x27,0xf0,0x34,0x79,0xf6,0x92,0xa4,0x46,0xa9,0x0a,0x84,0xf6,0xbe,0x84,0x99,0x46,0x54,0x18,0x61,0x89,0x2a,0xbc,0xa1,0x5c,0xd4,0xbb,0x5d,0xbd,0x1e,0xfa,0xf2,0x3f,0x6d,0x75,0xe4,0x9a,0x7d,0x2f,0x57,0xe2,0x7f,0x48,0xf3,0x88,0xbb,0x45,0xc3,0x56,0x8d,0xa8,0x60,0x69,0x6d,0x0b,0xd1,0x9f,0xb9,0xa1,0xae,0x4e,0xad,0xeb,0x8f,0x27,0x66,0x39,0x93,0x8c,0x1f,0x68,0xaa,0xb1,0x98,0x0c,0x29,0x20,0x9c,0x94,0x21,0x8c,0x52,0x3c,0x9d,0x21,0x91,0x52,0x11,0x39,0x7b,0x67,0x9c,0xfe,0x02,0xdd,0x04,0x41},
{0x2a,0x42,0x24,0x11,0x5e,0xbf,0xb2,0x72,0xb5,0x3a,0xa3,0x98,0x33,0x0c,0xfa,0xa1,0x66,0xb6,0x52,0xfa,0x01,0x61,0xcb,0x94,0xd5,0x53,0xaf,0xaf,0x00,0x3b,0x86,0x2c,0xb8,0x6a,0x09,0xdb,0x06,0x4e,0x21,0x81,0x35,0x4f,0xe4,0x0c,0xc9,0xb6,0xa8,0x21,0xf5,0x2a,0x9e,0x40,0x2a,0xc1,0x24,0x65,0x81,0xa4,0xfc,0x8e,0xa4,0xb5,0x65,0x01,0x76,0x6a,0x84,0xa0,0x74,0xa4,0x90,0xf1,0xc0,0x7c,0x2f,0xcd,0x84,0xf9,0xef,0x12,0x8f,0x2b,0xaa,0x58,0x06,0x29,0x5e,0x69,0xb8,0xc8,0xfe,0xbf,0xd9,0x67,0x1b,0x59},
{0xfa,0x9b,0xb4,0x80,0x1c,0x0d,0x2f,0x31,0x8a,0xec,0xf3,0xab,0x5e,0x51,0x79,0x59,0x88,0x1c,0xf0,0x9e,0xc0,0x33,0x70,0x72,0xcb,0x7b,0x8f,0xca,0xc7,0x2e,0xe0,0x3d,0x5d,0xb5,0x18,0x9f,0x71,0xb3,0xb9,0x99,0x1e,0x64,0x8c,0xa1,0xfa,0xe5,0x65,0xe4,0xed,0x05,0x9f,0xc2,0x36,0x11,0x08,0x61,0x8b,0x12,0x30,0x70,0x86,0x4f,0x9b,0x48,0xef,0x92,0xeb,0x3a,0x2d,0x10,0x32,0xd2,0x61,0xa8,0x16,0x61,0xb4,0x53,0x62,0xe1,0x24,0xaa,0x0b,0x19,0xe7,0xab,0x7e,0x3d,0xbf,0xbe,0x6c,0x49,0xba,0xfb,0xf5,0x49},
{0xd4,0xcf,0x5b,0x8a,0x10,0x9a,0x94,0x30,0xeb,0x73,0x64,0xbc,0x70,0xdd,0x40,0xdc,0x1c,0x0d,0x7c,0x30,0xc1,0x94,0xc2,0x92,0x74,0x6e,0xfa,0xcb,0x6d,0xa8,0x04,0x56,0x2e,0x57,0x9c,0x1e,0x8c,0x62,0x5d,0x15,0x41,0x47,0x88,0xc5,0xac,0x86,0x4d,0x8a,0xeb,0x63,0x57,0x51,0xf6,0x52,0xa3,0x91,0x5b,0x51,0x67,0x88,0xc2,0xa6,0xa1,0x06,0xb6,0x64,0x17,0x7c,0xd4,0xd1,0x88,0x72,0x51,0x8b,0x41,0xe0,0x40,0x11,0x54,0x72,0xd1,0xf6,0xac,0x18,0x60,0x1a,0x03,0x9f,0xc6,0x42,0x27,0xfe,0x89,0x9e,0x98,0x20},
{0x7f,0xcc,0x2d,0x3a,0xfd,0x77,0x97,0x49,0x92,0xd8,0x4f,0xa5,0x2c,0x7c,0x85,0x32,0xa0,0xe3,0x07,0xd2,0x64,0xd8,0x79,0xa2,0x29,0x7e,0xa6,0x0c,0x1d,0xed,0x03,0x04,0x2e,0xec,0xea,0x85,0x8b,0x27,0x74,0x16,0xdf,0x2b,0xcb,0x7a,0x07,0xdc,0x21,0x56,0x5a,0xf4,0xcb,0x61,0x16,0x4c,0x0a,0x64,0xd3,0x95,0x05,0xf7,0x50,0x99,0x0b,0x73,0x52,0xc5,0x4e,0x87,0x35,0x2d,0x4b,0xc9,0x8d,0x6f,0x24,0x98,0xcf,0xc8,0xe6,0xc5,0xce,0x35,0xc0,0x16,0xfa,0x46,0xcb,0xf7,0xcc,0x3d,0x30,0x08,0x43,0x45,0xd7,0x5b},
{0xc2,0x4c,0xb2,0x28,0x95,0xd1,0x9a,0x7f,0x81,0xc1,0x35,0x63,0x65,0x54,0x6b,0x7f,0x36,0x72,0xc0,0x4f,0x6e,0xb6,0xb8,0x66,0x83,0xad,0x80,0x73,0x00,0x78,0x3a,0x13,0x2a,0x79,0xe7,0x15,0x21,0x93,0xc4,0x85,0xc9,0xdd,0xcd,0xbd,0xa2,0x89,0x4c,0xc6,0x62,0xd7,0xa3,0xad,0xa8,0x3d,0x1e,0x9d,0x2c,0xf8,0x67,0x30,0x12,0xdb,0xb7,0x5b,0xbe,0x62,0xca,0xc6,0x67,0xf4,0x61,0x09,0xee,0x52,0x19,0x21,0xd6,0x21,0xec,0x04,0x70,0x47,0xd5,0x9b,0x77,0x60,0x23,0x18,0xd2,0xe0,0xf0,0x58,0x6d,0xca,0x0d,0x74},
{0x4e,0xce,0xcf,0x52,0x07,0xee,0x48,0xdf,0xb7,0x08,0xec,0x06,0xf3,0xfa,0xff,0xc3,0xc4,0x59,0x54,0xb9,0x2a,0x0b,0x71,0x05,0x8d,0xa3,0x3e,0x96,0xfa,0x25,0x1d,0x16,0x3c,0x43,0x78,0x04,0x57,0x8c,0x1a,0x23,0x9d,0x43,0x81,0xc2,0x0e,0x27,0xb5,0xb7,0x9f,0x07,0xd9,0xe3,0xea,0x99,0xaa,0xdb,0xd9,0x03,0x2b,0x6c,0x25,0xf5,0x03,0x2c,0x7d,0xa4,0x53,0x7b,0x75,0x18,0x0f,0x79,0x79,0x58,0x0c,0xcf,0x30,0x01,0x7b,0x30,0xf9,0xf7,0x7e,0x25,0x77,0x3d,0x90,0x31,0xaf,0xbb,0x96,0xbd,0xbd,0x68,0x94,0x69},
{0xcf,0xfe,0xda,0xf4,0x46,0x2f,0x1f,0xbd,0xf7,0xd6,0x7f,0xa4,0x14,0x01,0xef,0x7c,0x7f,0xb3,0x47,0x4a,0xda,0xfd,0x1f,0xd3,0x85,0x57,0x90,0x73,0xa4,0x19,0x52,0x52,0x48,0x19,0xa9,0x6a,0xe6,0x3d,0xdd,0xd8,0xcc,0xd2,0xc0,0x2f,0xc2,0x64,0x50,0x48,0x2f,0xea,0xfd,0x34,0x66,0x24,0x48,0x9b,0x3a,0x2e,0x4a,0x6c,0x4e,0x1c,0x3e,0x29,0xe1,0x12,0x51,0x92,0x4b,0x13,0x6e,0x37,0xa0,0x5d,0xa1,0xdc,0xb5,0x78,0x37,0x70,0x11,0x31,0x1c,0x46,0xaf,0x89,0x45,0xb0,0x23,0x28,0x03,0x7f,0x44,0x5c,0x60,0x5b},
{0x89,0x7c,0xc4,0x20,0x59,0x80,0x65,0xb9,0xcc,0x8f,0x3b,0x92,0x0c,0x10,0xf0,0xe7,0x77,0xef,0xe2,0x02,0x65,0x25,0x01,0x00,0xee,0xb3,0xae,0xa8,0xce,0x6d,0xa7,0x24,0x4c,0xf0,0xe7,0xf0,0xc6,0xfe,0xe9,0x3b,0x62,0x49,0xe3,0x75,0x9e,0x57,0x6a,0x86,0x1a,0xe6,0x1d,0x1e,0x16,0xef,0x42,0x55,0xd5,0xbd,0x5a,0xcc,0xf4,0xfe,0x12,0x2f,0x40,0xc7,0xc0,0xdf,0xb2,0x22,0x45,0x0a,0x07,0xa4,0xc9,0x40,0x7f,0x6e,0xd0,0x10,0x68,0xf6,0xcf,0x78,0x41,0x14,0xcf,0xc6,0x90,0x37,0xa4,0x18,0x25,0x7b,0x60,0x5e},
{0x18,0x18,0xdf,0x6c,0x8f,0x1d,0xb3,0x58,0xa2,0x58,0x62,0xc3,0x4f,0xa7,0xcf,0x35,0x6e,0x1d,0xe6,0x66,0x4f,0xff,0xb3,0xe1,0xf7,0xd5,0xcd,0x6c,0xab,0xac,0x67,0x50,0x14,0xcf,0x96,0xa5,0x1c,0x43,0x2c,0xa0,0x00,0xe4,0xd3,0xae,0x40,0x2d,0xc4,0xe3,0xdb,0x26,0x0f,0x2e,0x80,0x26,0x45,0xd2,0x68,0x70,0x45,0x9e,0x13,0x33,0x1f,0x20,0x51,0x9d,0x03,0x08,0x6b,0x7f,0x52,0xfd,0x06,0x00,0x7c,0x01,0x64,0x49,0xb1,0x18,0xa8,0xa4,0x25,0x2e,0xb0,0x0e,0x22,0xd5,0x75,0x03,0x46,0x62,0x88,0xba,0x7c,0x39},
{0xb2,0x59,0x59,0xf0,0x93,0x30,0xc1,0x30,0x76,0x79,0xa9,0xe9,0x8d,0xa1,0x3a,0xe2,0x26,0x5e,0x1d,0x72,0x91,0xd4,0x2f,0x22,0x3a,0x6c,0x6e,0x76,0x20,0xd3,0x39,0x23,0xe7,0x79,0x13,0xc8,0xfb,0xc3,0x15,0x78,0xf1,0x2a,0xe1,0xdd,0x20,0x94,0x61,0xa6,0xd5,0xfd,0xa8,0x85,0xf8,0xc0,0xa9,0xff,0x52,0xc2,0xe1,0xc1,0x22,0x40,0x1b,0x77,0xa7,0x2f,0x3a,0x51,0x86,0xd9,0x7d,0xd8,0x08,0xcf,0xd4,0xf9,0x71,0x9b,0xac,0xf5,0xb3,0x83,0xa2,0x1e,0x1b,0xc3,0x6b,0xd0,0x76,0x1a,0x97,0x19,0x92,0x18,0x1a,0x33},
{0xc6,0x80,0x4f,0xfb,0x45,0x6f,0x16,0xf5,0xcf,0x75,0xc7,0x61,0xde,0xc7,0x36,0x9c,0x1c,0xd9,0x41,0x90,0x1b,0xe8,0xd4,0xe3,0x21,0xfe,0xbd,0x83,0x6b,0x7c,0x16,0x31,0xaf,0x72,0x75,0x9d,0x3a,0x2f,0x51,0x26,0x9e,0x4a,0x07,0x68,0x88,0xe2,0xcb,0x5b,0xc4,0xf7,0x80,0x11,0xc1,0xc1,0xed,0x84,0x7b,0xa6,0x49,0xf6,0x9f,0x61,0xc9,0x1a,0x68,0x10,0x4b,0x52,0x42,0x38,0x2b,0xf2,0x87,0xe9,0x9c,0xee,0x3b,0x34,0x68,0x50,0xc8,0x50,0x62,0x4a,0x84,0x71,0x9d,0xfc,0x11,0xb1,0x08,0x1f,0x34,0x36,0x24,0x61},
{0x8d,0x89,0x4e,0x87,0xdb,0x41,0x9d,0xd9,0x20,0xdc,0x07,0x6c,0xf1,0xa5,0xfe,0x09,0xbc,0x9b,0x0f,0xd0,0x67,0x2c,0x3d,0x79,0x40,0xff,0x5e,0x9e,0x30,0xe2,0xeb,0x46,0x38,0x26,0x2d,0x1a,0xe3,0x49,0x63,0x8b,0x35,0xfd,0xd3,0x9b,0x00,0xb7,0xdf,0x9d,0xa4,0x6b,0xa0,0xa3,0xb8,0xf1,0x8b,0x7f,0x45,0x04,0xd9,0x78,0x31,0xaa,0x22,0x15,0x38,0x49,0x61,0x69,0x53,0x2f,0x38,0x2c,0x10,0x6d,0x2d,0xb7,0x9a,0x40,0xfe,0xda,0x27,0xf2,0x46,0xb6,0x91,0x33,0xc8,0xe8,0x6c,0x30,0x24,0x05,0xf5,0x70,0xfe,0x45},
{0x8c,0x0b,0x0c,0x96,0xa6,0x75,0x48,0xda,0x20,0x2f,0x0e,0xef,0x76,0xd0,0x68,0x5b,0xd4,0x8f,0x0b,0x3d,0xcf,0x51,0xfb,0x07,0xd4,0x92,0xe3,0xa0,0x23,0x16,0x8d,0x42,0x91,0x14,0x95,0xc8,0x20,0x49,0xf2,0x62,0xa2,0x0c,0x63,0x3f,0xc8,0x07,0xf0,0x05,0xb8,0xd4,0xc9,0xf5,0xd2,0x45,0xbb,0x6f,0x45,0x22,0x7a,0xb5,0x6d,0x9f,0x61,0x16,0xfd,0x08,0xa3,0x01,0x44,0x4a,0x4f,0x08,0xac,0xca,0xa5,0x76,0xc3,0x19,0x22,0xa8,0x7d,0xbc,0xd1,0x43,0x46,0xde,0xb8,0xde,0xc6,0x38,0xbd,0x60,0x2d,0x59,0x81,0x1d},
{0x5f,0xac,0x0d,0xa6,0x56,0x87,0x36,0x61,0x57,0xdc,0xab,0xeb,0x6a,0x2f,0xe0,0x17,0x7d,0x0f,0xce,0x4c,0x2d,0x3f,0x19,0x7f,0xf0,0xdc,0xec,0x89,0x77,0x4a,0x23,0x20,0xe8,0xc5,0x85,0x7b,0x9f,0xb6,0x65,0x87,0xb2,0xba,0x68,0xd1,0x8b,0x67,0xf0,0x6f,0x9b,0x0f,0x33,0x1d,0x7c,0xe7,0x70,0x3a,0x7c,0x8e,0xaf,0xb0,0x51,0x6d,0x5f,0x3a,0x52,0xb2,0x78,0x71,0xb6,0x0d,0xd2,0x76,0x60,0xd1,0x1e,0xd5,0xf9,0x34,0x1c,0x07,0x70,0x11,0xe4,0xb3,0x20,0x4a,0x2a,0xf6,0x66,0xe3,0xff,0x3c,0x35,0x82,0xd6,0x7c},
{0xb6,0xfa,0x87,0xd8,0x5b,0xa4,0xe1,0x0b,0x6e,0x3b,0x40,0xba,0x32,0x6a,0x84,0x2a,0x00,0x60,0x6e,0xe9,0x12,0x10,0x92,0xd9,0x43,0x09,0xdc,0x3b,0x86,0xc8,0x38,0x28,0xf3,0xf4,0xac,0x68,0x60,0xcd,0x65,0xa6,0xd3,0xe3,0xd7,0x3c,0x18,0x2d,0xd9,0x42,0xd9,0x25,0x60,0x33,0x9d,0x38,0x59,0x57,0xff,0xd8,0x2c,0x2b,0x3b,0x25,0xf0,0x3e,0x30,0x50,0x46,0x4a,0xcf,0xb0,0x6b,0xd1,0xab,0x77,0xc5,0x15,0x41,0x6b,0x49,0xfa,0x9d,0x41,0xab,0xf4,0x8a,0xae,0xcf,0x82,0x12,0x28,0xa8,0x06,0xa6,0xb8,0xdc,0x21},
{0xc8,0x9f,0x9d,0x8c,0x46,0x04,0x60,0x5c,0xcb,0xa3,0x2a,0xd4,0x6e,0x09,0x40,0x25,0x9c,0x2f,0xee,0x12,0x4c,0x4d,0x5b,0x12,0xab,0x1d,0xa3,0x94,0x81,0xd0,0xc3,0x0b,0xba,0x31,0x77,0xbe,0xfa,0x00,0x8d,0x9a,0x89,0x18,0x9e,0x62,0x7e,0x60,0x03,0x82,0x7f,0xd9,0xf3,0x43,0x37,0x02,0xcc,0xb2,0x8b,0x67,0x6f,0x6c,0xbf,0x0d,0x84,0x5d,0x8b,0xe1,0x9f,0x30,0x0d,0x38,0x6e,0x70,0xc7,0x65,0xe1,0xb9,0xa6,0x2d,0xb0,0x6e,0xab,0x20,0xae,0x7d,0x99,0xba,0xbb,0x57,0xdd,0x96,0xc1,0x2a,0x23,0x76,0x42,0x3a},
{0xfa,0x84,0x70,0x8a,0x2c,0x43,0x42,0x4b,0x45,0xe5,0xb9,0xdf,0xe3,0x19,0x8a,0x89,0x5d,0xe4,0x58,0x9c,0x21,0x00,0x9f,0xbe,0xd1,0xeb,0x6d,0xa1,0xce,0x77,0xf1,0x1f,0xcb,0x7e,0x44,0xdb,0x72,0xc1,0xf8,0x3b,0xbd,0x2d,0x28,0xc6,0x1f,0xc4,0xcf,0x5f,0xfe,0x15,0xaa,0x75,0xc0,0xff,0xac,0x80,0xf9,0xa9,0xe1,0x24,0xe8,0xc9,0x70,0x07,0xfd,0xb5,0xb5,0x45,0x9a,0xd9,0x61,0xcf,0x24,0x79,0x3a,0x1b,0xe9,0x84,0x09,0x86,0x89,0x3e,0x3e,0x30,0x19,0x09,0x30,0xe7,0x1e,0x0b,0x50,0x41,0xfd,0x64,0xf2,0x39},
{0x9c,0xe2,0xe7,0xdb,0x17,0x34,0xad,0xa7,0x9c,0x13,0x9c,0x2b,0x6a,0x37,0x94,0xbd,0xa9,0x7b,0x59,0x93,0x8e,0x1b,0xe9,0xa0,0x40,0x98,0x88,0x68,0x34,0xd7,0x12,0x17,0xe1,0x7b,0x09,0xfe,0xab,0x4a,0x9b,0xd1,0x29,0x19,0xe0,0xdf,0xe1,0xfc,0x6d,0xa4,0xff,0xf1,0xa6,0x2c,0x94,0x08,0xc9,0xc3,0x4e,0xf1,0x35,0x2c,0x27,0x21,0xc6,0x65,0xdd,0x93,0x31,0xce,0xf8,0x89,0x2b,0xe7,0xbb,0xc0,0x25,0xa1,0x56,0x33,0x10,0x4d,0x83,0xfe,0x1c,0x2e,0x3d,0xa9,0x19,0x04,0x72,0xe2,0x9c,0xb1,0x0a,0x80,0xf9,0x22},
{0xcb,0xf8,0x9e,0x3e,0x8a,0x36,0x5a,0x60,0x15,0x47,0x50,0xa5,0x22,0xc0,0xe9,0xe3,0x8f,0x24,0x24,0x5f,0xb0,0x48,0x3d,0x55,0xe5,0x26,0x76,0x64,0xcd,0x16,0xf4,0x13,0xac,0xfd,0x6e,0x9a,0xdd,0x9f,0x02,0x42,0x41,0x49,0xa5,0x34,0xbe,0xce,0x12,0xb9,0x7b,0xf3,0xbd,0x87,0xb9,0x64,0x0f,0x64,0xb4,0xca,0x98,0x85,0xd3,0xa4,0x71,0x41,0x8c,0x4c,0xc9,0x99,0xaa,0x58,0x27,0xfa,0x07,0xb8,0x00,0xb0,0x6f,0x6f,0x00,0x23,0x92,0x53,0xda,0xad,0xdd,0x91,0xd2,0xfb,0xab,0xd1,0x4b,0x57,0xfa,0x14,0x82,0x50},
{0x4b,0xfe,0xd6,0x3e,0x15,0x69,0x02,0xc2,0xc4,0x77,0x1d,0x51,0x39,0x67,0x5a,0xa6,0x94,0xaf,0x14,0x2c,0x46,0x26,0xde,0xcb,0x4b,0xa7,0xab,0x6f,0xec,0x60,0xf9,0x22,0xd6,0x03,0xd0,0x53,0xbb,0x15,0x1a,0x46,0x65,0xc9,0xf3,0xbc,0x88,0x28,0x10,0xb2,0x5a,0x3a,0x68,0x6c,0x75,0x76,0xc5,0x27,0x47,0xb4,0x6c,0xc8,0xa4,0x58,0x77,0x3a,0x76,0x50,0xae,0x93,0xf6,0x11,0x81,0x54,0xa6,0x54,0xfd,0x1d,0xdf,0x21,0xae,0x1d,0x65,0x5e,0x11,0xf3,0x90,0x8c,0x24,0x12,0x94,0xf4,0xe7,0x8d,0x5f,0xd1,0x9f,0x5d},
{0x7f,0x72,0x63,0x6d,0xd3,0x08,0x14,0x03,0x33,0xb5,0xc7,0xd7,0xef,0x9a,0x37,0x6a,0x4b,0xe2,0xae,0xcc,0xc5,0x8f,0xe1,0xa9,0xd3,0xbe,0x8f,0x4f,0x91,0x35,0x2f,0x33,0x1e,0x52,0xd7,0xee,0x2a,0x4d,0x24,0x3f,0x15,0x96,0x2e,0x43,0x28,0x90,0x3a,0x8e,0xd4,0x16,0x9c,0x2e,0x77,0xba,0x64,0xe1,0xd8,0x98,0xeb,0x47,0xfa,0x87,0xc1,0x3b,0x0c,0xc2,0x86,0xea,0x15,0x01,0x47,0x6d,0x25,0xd1,0x46,0x6c,0xcb,0xb7,0x8a,0x99,0x88,0x01,0x66,0x3a,0xb5,0x32,0x78,0xd7,0x03,0xba,0x6f,0x90,0xce,0x81,0x0d,0x45},
{0x75,0x52,0x20,0xa6,0xa1,0xb6,0x7b,0x6e,0x83,0x8e,0x3c,0x41,0xd7,0x21,0x4f,0xaa,0xb2,0x5c,0x8f,0xe8,0x55,0xd1,0x56,0x6f,0xe1,0x5b,0x34,0xa6,0x4b,0x5d,0xe2,0x2d,0x3f,0x74,0xae,0x1c,0x96,0xd8,0x74,0xd0,0xed,0x63,0x1c,0xee,0xf5,0x18,0x6d,0xf8,0x29,0xed,0xf4,0xe7,0x5b,0xc5,0xbd,0x97,0x08,0xb1,0x3a,0x66,0x79,0xd2,0xba,0x4c,0xcd,0x1f,0xd7,0xa0,0x24,0x90,0xd1,0x80,0xf8,0x8a,0x28,0xfb,0x0a,0xc2,0x25,0xc5,0x19,0x64,0x3a,0x5f,0x4b,0x97,0xa3,0xb1,0x33,0x72,0x00,0xe2,0xef,0xbc,0x7f,0x7d},
{0x01,0x28,0x6b,0x26,0x6a,0x1e,0xef,0xfa,0x16,0x9f,0x73,0xd5,0xc4,0x68,0x6c,0x86,0x2c,0x76,0x03,0x1b,0xbc,0x2f,0x8a,0xf6,0x8d,0x5a,0xb7,0x87,0x5e,0x43,0x75,0x59,0x94,0x90,0xc2,0xf3,0xc5,0x5d,0x7c,0xcd,0xab,0x05,0x91,0x2a,0x9a,0xa2,0x81,0xc7,0x58,0x30,0x1c,0x42,0x36,0x1d,0xc6,0x80,0xd7,0xd4,0xd8,0xdc,0x96,0xd1,0x9c,0x4f,0x68,0x37,0x7b,0x6a,0xd8,0x97,0x92,0x19,0x63,0x7a,0xd1,0x1a,0x24,0x58,0xd0,0xd0,0x17,0x0c,0x1c,0x5c,0xad,0x9c,0x02,0xba,0x07,0x03,0x7a,0x38,0x84,0xd0,0xcd,0x7c},
{0x17,0x04,0x26,0x6d,0x2c,0x42,0xa6,0xdc,0xbd,0x40,0x82,0x94,0x50,0x3d,0x15,0xae,0x77,0xc6,0x68,0xfb,0xb4,0xc1,0xc0,0xa9,0x53,0xcf,0xd0,0x61,0xed,0xd0,0x8b,0x42,0x93,0xcc,0x60,0x67,0x18,0x84,0x0c,0x9b,0x99,0x2a,0xb3,0x1a,0x7a,0x00,0xae,0xcd,0x18,0xda,0x0b,0x62,0x86,0xec,0x8d,0xa8,0x44,0xca,0x90,0x81,0x84,0xca,0x93,0x35,0xa7,0x9a,0x84,0x5e,0x9a,0x18,0x13,0x92,0xcd,0xfa,0xd8,0x65,0x35,0xc3,0xd8,0xd4,0xd1,0xbb,0xfd,0x53,0x5b,0x54,0x52,0x8c,0xe6,0x63,0x2d,0xda,0x08,0x83,0x39,0x27},
{0x13,0xd4,0x5e,0x43,0x28,0x8d,0xc3,0x42,0xc9,0xcc,0x78,0x32,0x60,0xf3,0x50,0xbd,0xef,0x03,0xda,0x79,0x1a,0xab,0x07,0xbb,0x55,0x33,0x8c,0xbe,0xae,0x97,0x95,0x26,0x53,0x24,0x70,0x0a,0x4c,0x0e,0xa1,0xb9,0xde,0x1b,0x7d,0xd5,0x66,0x58,0xa2,0x0f,0xf7,0xda,0x27,0xcd,0xb5,0xd9,0xb9,0xff,0xfd,0x33,0x2c,0x49,0x45,0x29,0x2c,0x57,0xbe,0x30,0xcd,0xd6,0x45,0xc7,0x7f,0xc7,0xfb,0xae,0xba,0xe3,0xd3,0xe8,0xdf,0xe4,0x0c,0xda,0x5d,0xaa,0x30,0x88,0x2c,0xa2,0x80,0xca,0x5b,0xc0,0x98,0x54,0x98,0x7f},
{0x17,0xe1,0x0b,0x9f,0x88,0xce,0x49,0x38,0x88,0xa2,0x54,0x7b,0x1b,0xad,0x05,0x80,0x1c,0x92,0xfc,0x23,0x9f,0xc3,0xa3,0x3d,0x04,0xf3,0x31,0x0a,0x47,0xec,0xc2,0x76,0x63,0x63,0xbf,0x0f,0x52,0x15,0x56,0xd3,0xa6,0xfb,0x4d,0xcf,0x45,0x5a,0x04,0x08,0xc2,0xa0,0x3f,0x87,0xbc,0x4f,0xc2,0xee,0xe7,0x12,0x9b,0xd6,0x3c,0x65,0xf2,0x30,0x85,0x0c,0xc1,0xaa,0x38,0xc9,0x08,0x8a,0xcb,0x6b,0x27,0xdb,0x60,0x9b,0x17,0x46,0x70,0xac,0x6f,0x0e,0x1e,0xc0,0x20,0xa9,0xda,0x73,0x64,0x59,0xf1,0x73,0x12,0x2f},
{0x11,0x1e,0xe0,0x8a,0x7c,0xfc,0x39,0x47,0x9f,0xab,0x6a,0x4a,0x90,0x74,0x52,0xfd,0x2e,0x8f,0x72,0x87,0x82,0x8a,0xd9,0x41,0xf2,0x69,0x5b,0xd8,0x2a,0x57,0x9e,0x5d,0xc0,0x0b,0xa7,0x55,0xd7,0x8b,0x48,0x30,0xe7,0x42,0xd4,0xf1,0xa4,0xb5,0xd6,0x06,0x62,0x61,0x59,0xbc,0x9e,0xa6,0xd1,0xea,0x84,0xf7,0xc5,0xed,0x97,0x19,0xac,0x38,0x3b,0xb1,0x51,0xa7,0x17,0xb5,0x66,0x06,0x8c,0x85,0x9b,0x7e,0x86,0x06,0x7d,0x74,0x49,0xde,0x4d,0x45,0x11,0xc0,0xac,0xac,0x9c,0xe6,0xe9,0xbf,0x9c,0xcd,0xdf,0x22},
{0xd9,0x0c,0x0d,0xc3,0xe0,0xd2,0xdb,0x8d,0x33,0x43,0xbb,0xac,0x5f,0x66,0x8e,0xad,0x1f,0x96,0x2a,0x32,0x8c,0x25,0x6b,0x8f,0xc7,0xc1,0x48,0x54,0xc0,0x16,0x29,0x6b,0xa1,0xe0,0x3b,0x10,0xb4,0x59,0xec,0x56,0x69,0xf9,0x59,0xd2,0xec,0xba,0xe3,0x2e,0x32,0xcd,0xf5,0x13,0x94,0xb2,0x7c,0x79,0x72,0xe4,0xcd,0x24,0x78,0x87,0xe9,0x0f,0x3b,0x91,0xba,0x0a,0xd1,0x34,0xdb,0x7e,0x0e,0xac,0x6d,0x2e,0x82,0xcd,0xa3,0x4e,0x15,0xf8,0x78,0x65,0xff,0x3d,0x08,0x66,0x17,0x0a,0xf0,0x7f,0x30,0x3f,0x30,0x4c},
{0x85,0x8c,0xb2,0x17,0xd6,0x3b,0x0a,0xd3,0xea,0x3b,0x77,0x39,0xb7,0x77,0xd3,0xc5,0xbf,0x5c,0x6a,0x1e,0x8c,0xe7,0xc6,0xc6,0xc4,0xb7,0x2a,0x8b,0xf7,0xb8,0x61,0x0d,0x00,0x45,0xd9,0x0d,0x58,0x03,0xfc,0x29,0x93,0xec,0xbb,0x6f,0xa4,0x7a,0xd2,0xec,0xf8,0xa7,0xe2,0xc2,0x5f,0x15,0x0a,0x13,0xd5,0xa1,0x06,0xb7,0x1a,0x15,0x6b,0x41,0xb0,0x36,0xc1,0xe9,0xef,0xd7,0xa8,0x56,0x20,0x4b,0xe4,0x58,0xcd,0xe5,0x07,0xbd,0xab,0xe0,0x57,0x1b,0xda,0x2f,0xe6,0xaf,0xd2,0xe8,0x77,0x42,0xf7,0x2a,0x1a,0x19},
{0x31,0x14,0x3c,0xc5,0x4b,0xf7,0x16,0xce,0xde,0xed,0x72,0x20,0xce,0x25,0x97,0x2b,0xe7,0x3e,0xb2,0xb5,0x6f,0xc3,0xb9,0xb8,0x08,0xc9,0x5c,0x0b,0x45,0x0e,0x2e,0x7e,0xfb,0x0e,0x46,0x4f,0x43,0x2b,0xe6,0x9f,0xd6,0x07,0x36,0xa6,0xd4,0x03,0xd3,0xde,0x24,0xda,0xa0,0xb7,0x0e,0x21,0x52,0xf0,0x93,0x5b,0x54,0x00,0xbe,0x7d,0x7e,0x23,0x30,0xb4,0x01,0x67,0xed,0x75,0x35,0x01,0x10,0xfd,0x0b,0x9f,0xe6,0x94,0x10,0x23,0x22,0x7f,0xe4,0x83,0x15,0x0f,0x32,0x75,0xe3,0x55,0x11,0xb1,0x99,0xa6,0xaf,0x71},
{0x1d,0xb6,0x53,0x39,0x9b,0x6f,0xce,0x65,0xe6,0x41,0xa1,0xaf,0xea,0x39,0x58,0xc6,0xfe,0x59,0xf7,0xa9,0xfd,0x5f,0x43,0x0f,0x8e,0xc2,0xb1,0xc2,0xe9,0x42,0x11,0x02,0xd6,0x50,0x3b,0x47,0x1c,0x3c,0x42,0xea,0x10,0xef,0x38,0x3b,0x1f,0x7a,0xe8,0x51,0x95,0xbe,0xc9,0xb2,0x5f,0xbf,0x84,0x9b,0x1c,0x9a,0xf8,0x78,0xbc,0x1f,0x73,0x00,0x80,0x18,0xf8,0x48,0x18,0xc7,0x30,0xe4,0x19,0xc1,0xce,0x5e,0x22,0x0c,0x96,0xbf,0xe3,0x15,0xba,0x6b,0x83,0xe0,0xda,0xb6,0x08,0x58,0xe1,0x47,0x33,0x6f,0x4d,0x4c},
{0xc9,0x1f,0x7d,0xc1,0xcf,0xec,0xf7,0x18,0x14,0x3c,0x40,0x51,0xa6,0xf5,0x75,0x6c,0xdf,0x0c,0xee,0xf7,0x2b,0x71,0xde,0xdb,0x22,0x7a,0xe4,0xa7,0xaa,0xdd,0x3f,0x19,0x70,0x19,0x8f,0x98,0xfc,0xdd,0x0c,0x2f,0x1b,0xf5,0xb9,0xb0,0x27,0x62,0x91,0x6b,0xbe,0x76,0x91,0x77,0xc4,0xb6,0xc7,0x6e,0xa8,0x9f,0x8f,0xa8,0x00,0x95,0xbf,0x38,0x6f,0x87,0xe8,0x37,0x3c,0xc9,0xd2,0x1f,0x2c,0x46,0xd1,0x18,0x5a,0x1e,0xf6,0xa2,0x76,0x12,0x24,0x39,0x82,0xf5,0x80,0x50,0x69,0x49,0x0d,0xbf,0x9e,0xb9,0x6f,0x6a},
{0xeb,0x55,0x08,0x56,0xbb,0xc1,0x46,0x6a,0x9d,0xf0,0x93,0xf8,0x38,0xbb,0x16,0x24,0xc1,0xac,0x71,0x8f,0x37,0x11,0x1d,0xd7,0xea,0x96,0x18,0xa3,0x14,0x69,0xf7,0x75,0xc6,0x23,0xe4,0xb6,0xb5,0x22,0xb1,0xee,0x8e,0xff,0x86,0xf2,0x10,0x70,0x9d,0x93,0x8c,0x5d,0xcf,0x1d,0x83,0x2a,0xa9,0x90,0x10,0xeb,0xc5,0x42,0x9f,0xda,0x6f,0x13,0xd1,0xbd,0x05,0xa3,0xb1,0xdf,0x4c,0xf9,0x08,0x2c,0xf8,0x9f,0x9d,0x4b,0x36,0x0f,0x8a,0x58,0xbb,0xc3,0xa5,0xd8,0x87,0x2a,0xba,0xdc,0xe8,0x0b,0x51,0x83,0x21,0x02},
{0x14,0x2d,0xad,0x5e,0x38,0x66,0xf7,0x4a,0x30,0x58,0x7c,0xca,0x80,0xd8,0x8e,0xa0,0x3d,0x1e,0x21,0x10,0xe6,0xa6,0x13,0x0d,0x03,0x6c,0x80,0x7b,0xe1,0x1c,0x07,0x6a,0x7f,0x7a,0x30,0x43,0x01,0x71,0x5a,0x9d,0x5f,0xa4,0x7d,0xc4,0x9e,0xde,0x63,0xb0,0xd3,0x7a,0x92,0xbe,0x52,0xfe,0xbb,0x22,0x6c,0x42,0x40,0xfd,0x41,0xc4,0x87,0x13,0xf8,0x8a,0x97,0x87,0xd1,0xc3,0xd3,0xb5,0x13,0x44,0x0e,0x7f,0x3d,0x5a,0x2b,0x72,0xa0,0x7c,0x47,0xbb,0x48,0x48,0x7b,0x0d,0x92,0xdc,0x1e,0xaf,0x6a,0xb2,0x71,0x31},
{0xa8,0x4c,0x56,0x97,0x90,0x31,0x2f,0xa9,0x19,0xe1,0x75,0x22,0x4c,0xb8,0x7b,0xff,0x50,0x51,0x87,0xa4,0x37,0xfe,0x55,0x4f,0x5a,0x83,0xf0,0x3c,0x87,0xd4,0x1f,0x22,0xd1,0x47,0x8a,0xb2,0xd8,0xb7,0x0d,0xa6,0xf1,0xa4,0x70,0x17,0xd6,0x14,0xbf,0xa6,0x58,0xbd,0xdd,0x53,0x93,0xf8,0xa1,0xd4,0xe9,0x43,0x42,0x34,0x63,0x4a,0x51,0x6c,0x41,0x63,0x15,0x3a,0x4f,0x20,0x22,0x23,0x2d,0x03,0x0a,0xba,0xe9,0xe0,0x73,0xfb,0x0e,0x03,0x0f,0x41,0x4c,0xdd,0xe0,0xfc,0xaa,0x4a,0x92,0xfb,0x96,0xa5,0xda,0x48},
{0xc7,0x9c,0xa5,0x5c,0x66,0x8e,0xca,0x6e,0xa0,0xac,0x38,0x2e,0x4b,0x25,0x47,0xa8,0xce,0x17,0x1e,0xd2,0x08,0xc7,0xaf,0x31,0xf7,0x4a,0xd8,0xca,0xfc,0xd6,0x6d,0x67,0x93,0x97,0x4c,0xc8,0x5d,0x1d,0xf6,0x14,0x06,0x82,0x41,0xef,0xe3,0xf9,0x41,0x99,0xac,0x77,0x62,0x34,0x8f,0xb8,0xf5,0xcd,0xa9,0x79,0x8a,0x0e,0xfa,0x37,0xc8,0x58,0x58,0x90,0xfc,0x96,0x85,0x68,0xf9,0x0c,0x1b,0xa0,0x56,0x7b,0xf3,0xbb,0xdc,0x1d,0x6a,0xd6,0x35,0x49,0x7d,0xe7,0xc2,0xdc,0x0a,0x7f,0xa5,0xc6,0xf2,0x73,0x4f,0x1c},
{0xbb,0xa0,0x5f,0x30,0xbd,0x4f,0x7a,0x0e,0xad,0x63,0xc6,0x54,0xe0,0x4c,0x9d,0x82,0x48,0x38,0xe3,0x2f,0x83,0xc3,0x21,0xf4,0x42,0x4c,0xf6,0x1b,0x0d,0xc8,0x5a,0x79,0x84,0x34,0x7c,0xfc,0x6e,0x70,0x6e,0xb3,0x61,0xcf,0xc1,0xc3,0xb4,0xc9,0xdf,0x73,0xe5,0xc7,0x1c,0x78,0xc9,0x79,0x1d,0xeb,0x5c,0x67,0xaf,0x7d,0xdb,0x9a,0x45,0x70,0xb3,0x2b,0xb4,0x91,0x49,0xdb,0x91,0x1b,0xca,0xdc,0x02,0x4b,0x23,0x96,0x26,0x57,0xdc,0x78,0x8c,0x1f,0xe5,0x9e,0xdf,0x9f,0xd3,0x1f,0xe2,0x8c,0x84,0x62,0xe1,0x5f},
{0x1a,0x96,0x94,0xe1,0x4f,0x21,0x59,0x4e,0x4f,0xcd,0x71,0x0d,0xc7,0x7d,0xbe,0x49,0x2d,0xf2,0x50,0x3b,0xd2,0xcf,0x00,0x93,0x32,0x72,0x91,0xfc,0x46,0xd4,0x89,0x47,0x08,0xb2,0x7c,0x5d,0x2d,0x85,0x79,0x28,0xe7,0xf2,0x7d,0x68,0x70,0xdd,0xde,0xb8,0x91,0x78,0x68,0x21,0xab,0xff,0x0b,0xdc,0x35,0xaa,0x7d,0x67,0x43,0xc0,0x44,0x2b,0x8e,0xb7,0x4e,0x07,0xab,0x87,0x1c,0x1a,0x67,0xf4,0xda,0x99,0x8e,0xd1,0xc6,0xfa,0x67,0x90,0x4f,0x48,0xcd,0xbb,0xac,0x3e,0xe4,0xa4,0xb9,0x2b,0xef,0x2e,0xc5,0x60},
{0xf1,0x8b,0xfd,0x3b,0xbc,0x89,0x5d,0x0b,0x1a,0x55,0xf3,0xc9,0x37,0x92,0x6b,0xb0,0xf5,0x28,0x30,0xd5,0xb0,0x16,0x4c,0x0e,0xab,0xca,0xcf,0x2c,0x31,0x9c,0xbc,0x10,0x11,0x6d,0xae,0x7c,0xc2,0xc5,0x2b,0x70,0xab,0x8c,0xa4,0x54,0x9b,0x69,0xc7,0x44,0xb2,0x2e,0x49,0xba,0x56,0x40,0xbc,0xef,0x6d,0x67,0xb6,0xd9,0x48,0x72,0xd7,0x70,0x5b,0xa0,0xc2,0x3e,0x4b,0xe8,0x8a,0xaa,0xe0,0x81,0x17,0xed,0xf4,0x9e,0x69,0x98,0xd1,0x85,0x8e,0x70,0xe4,0x13,0x45,0x79,0x13,0xf4,0x76,0xa9,0xd3,0x5b,0x75,0x63},
{0x53,0x08,0xd1,0x2a,0x3e,0xa0,0x5f,0xb5,0x69,0x35,0xe6,0x9e,0x90,0x75,0x6f,0x35,0x90,0xb8,0x69,0xbe,0xfd,0xf1,0xf9,0x9f,0x84,0x6f,0xc1,0x8b,0xc4,0xc1,0x8c,0x0d,0xb7,0xac,0xf1,0x97,0x18,0x10,0xc7,0x3d,0xd8,0xbb,0x65,0xc1,0x5e,0x7d,0xda,0x5d,0x0f,0x02,0xa1,0x0f,0x9c,0x5b,0x8e,0x50,0x56,0x2a,0xc5,0x37,0x17,0x75,0x63,0x27,0xa9,0x19,0xb4,0x6e,0xd3,0x02,0x94,0x02,0xa5,0x60,0xb4,0x77,0x7e,0x4e,0xb4,0xf0,0x56,0x49,0x3c,0xd4,0x30,0x62,0xa8,0xcf,0xe7,0x66,0xd1,0x7a,0x8a,0xdd,0xc2,0x70},
{0x0e,0xec,0x6f,0x9f,0x50,0x94,0x61,0x65,0x8d,0x51,0xc6,0x46,0xa9,0x7e,0x2e,0xee,0x5c,0x9b,0xe0,0x67,0xf3,0xc1,0x33,0x97,0x95,0x84,0x94,0x63,0x63,0xac,0x0f,0x2e,0x13,0x7e,0xed,0xb8,0x7d,0x96,0xd4,0x91,0x7a,0x81,0x76,0xd7,0x0a,0x2f,0x25,0x74,0x64,0x25,0x85,0x0d,0xe0,0x82,0x09,0xe4,0xe5,0x3c,0xa5,0x16,0x38,0x61,0xb8,0x32,0x64,0xcd,0x48,0xe4,0xbe,0xf7,0xe7,0x79,0xd0,0x86,0x78,0x08,0x67,0x3a,0xc8,0x6a,0x2e,0xdb,0xe4,0xa0,0xd9,0xd4,0x9f,0xf8,0x41,0x4f,0x5a,0x73,0x5c,0x21,0x79,0x41},
{0x2a,0xed,0xdc,0xd7,0xe7,0x94,0x70,0x8c,0x70,0x9c,0xd3,0x47,0xc3,0x8a,0xfb,0x97,0x02,0xd9,0x06,0xa9,0x33,0xe0,0x3b,0xe1,0x76,0x9d,0xd9,0x0c,0xa3,0x44,0x03,0x70,0x34,0xcd,0x6b,0x28,0xb9,0x33,0xae,0xe4,0xdc,0xd6,0x9d,0x55,0xb6,0x7e,0xef,0xb7,0x1f,0x8e,0xd3,0xb3,0x1f,0x14,0x8b,0x27,0x86,0xc2,0x41,0x22,0x66,0x85,0xfa,0x31,0xf4,0x22,0x36,0x2e,0x42,0x6c,0x82,0xaf,0x2d,0x50,0x33,0x98,0x87,0x29,0x20,0xc1,0x23,0x91,0x38,0x2b,0xe1,0xb7,0xc1,0x9b,0x89,0x24,0x95,0xa9,0x12,0x23,0xbb,0x24},
{0xc3,0x67,0xde,0x32,0x17,0xed,0xa8,0xb1,0x48,0x49,0x1b,0x46,0x18,0x94,0xb4,0x3c,0xd2,0xbc,0xcf,0x76,0x43,0x43,0xbd,0x8e,0x08,0x80,0x18,0x1e,0x87,0x3e,0xee,0x0f,0x6b,0x5c,0xf8,0xf5,0x2a,0x0c,0xf8,0x41,0x94,0x67,0xfa,0x04,0xc3,0x84,0x72,0x68,0xad,0x1b,0xba,0xa3,0x99,0xdf,0x45,0x89,0x16,0x5d,0xeb,0xff,0xf9,0x2a,0x1d,0x0d,0xdf,0x1e,0x62,0x32,0xa1,0x8a,0xda,0xa9,0x79,0x65,0x22,0x59,0xa1,0x22,0xb8,0x30,0x93,0xc1,0x9a,0xa7,0x7b,0x19,0x04,0x40,0x76,0x1d,0x53,0x18,0x97,0xd7,0xac,0x16},
{0x3d,0x1d,0x9b,0x2d,0xaf,0x72,0xdf,0x72,0x5a,0x24,0x32,0xa4,0x36,0x2a,0x46,0x63,0x37,0x96,0xb3,0x16,0x79,0xa0,0xce,0x3e,0x09,0x23,0x30,0xb9,0xf6,0x0e,0x3e,0x12,0xad,0xb6,0x87,0x78,0xc5,0xc6,0x59,0xc9,0xba,0xfe,0x90,0x5f,0xad,0x9e,0xe1,0x94,0x04,0xf5,0x42,0xa3,0x62,0x4e,0xe2,0x16,0x00,0x17,0x16,0x18,0x4b,0xd3,0x4e,0x16,0x9a,0xe6,0x2f,0x19,0x4c,0xd9,0x7e,0x48,0x13,0x15,0x91,0x3a,0xea,0x2c,0xae,0x61,0x27,0xde,0xa4,0xb9,0xd3,0xf6,0x7b,0x87,0xeb,0xf3,0x73,0x10,0xc6,0x0f,0xda,0x78},
{0x6a,0xc6,0x2b,0xe5,0x28,0x5d,0xf1,0x5b,0x8e,0x1a,0xf0,0x70,0x18,0xe3,0x47,0x2c,0xdd,0x8b,0xc2,0x06,0xbc,0xaf,0x19,0x24,0x3a,0x17,0x6b,0x25,0xeb,0xde,0x25,0x2d,0x94,0x3a,0x0c,0x68,0xf1,0x80,0x9f,0xa2,0xe6,0xe7,0xe9,0x1a,0x15,0x7e,0xf7,0x71,0x73,0x79,0x01,0x48,0x58,0xf1,0x00,0x11,0xdd,0x8d,0xb3,0x16,0xb3,0xa4,0x4a,0x05,0xb8,0x7c,0x26,0x19,0x8d,0x46,0xc8,0xdf,0xaf,0x4d,0xe5,0x66,0x9c,0x78,0x28,0x0b,0x17,0xec,0x6e,0x66,0x2a,0x1d,0xeb,0x2a,0x60,0xa7,0x7d,0xab,0xa6,0x10,0x46,0x13},
{0xfe,0xb0,0xf6,0x8d,0xc7,0x8e,0x13,0x51,0x1b,0xf5,0x75,0xe5,0x89,0xda,0x97,0x53,0xb9,0xf1,0x7a,0x71,0x1d,0x7a,0x20,0x09,0x50,0xd6,0x20,0x2b,0xba,0xfd,0x02,0x21,0x15,0xf5,0xd1,0x77,0xe7,0x65,0x2a,0xcd,0xf1,0x60,0xaa,0x8f,0x87,0x91,0x89,0x54,0xe5,0x06,0xbc,0xda,0xbc,0x3b,0xb7,0xb1,0xfb,0xc9,0x7c,0xa9,0xcb,0x78,0x48,0x65,0xa1,0xe6,0x5c,0x05,0x05,0xe4,0x9e,0x96,0x29,0xad,0x51,0x12,0x68,0xa7,0xbc,0x36,0x15,0xa4,0x7d,0xaa,0x17,0xf5,0x1a,0x3a,0xba,0xb2,0xec,0x29,0xdb,0x25,0xd7,0x0a},
{0x57,0x24,0x4e,0x83,0xb1,0x67,0x42,0xdc,0xc5,0x1b,0xce,0x70,0xb5,0x44,0x75,0xb6,0xd7,0x5e,0xd1,0xf7,0x0b,0x7a,0xf0,0x1a,0x50,0x36,0xa0,0x71,0xfb,0xcf,0xef,0x4a,0x85,0x6f,0x05,0x9b,0x0c,0xbc,0xc7,0xfe,0xd7,0xff,0xf5,0xe7,0x68,0x52,0x7d,0x53,0xfa,0xae,0x12,0x43,0x62,0xc6,0xaf,0x77,0xd9,0x9f,0x39,0x02,0x53,0x5f,0x67,0x4f,0x1e,0x17,0x15,0x04,0x36,0x36,0x2d,0xc3,0x3b,0x48,0x98,0x89,0x11,0xef,0x2b,0xcd,0x10,0x51,0x94,0xd0,0xad,0x6e,0x0a,0x87,0x61,0x65,0xa8,0xa2,0x72,0xbb,0xcc,0x0b},
{0xc8,0xa9,0xb1,0xea,0x2f,0x96,0x5e,0x18,0xcd,0x7d,0x14,0x65,0x35,0xe6,0xe7,0x86,0xf2,0x6d,0x5b,0xbb,0x31,0xe0,0x92,0xb0,0x3e,0xb7,0xd6,0x59,0xab,0xf0,0x24,0x40,0x96,0x12,0xfe,0x50,0x4c,0x5e,0x6d,0x18,0x7e,0x9f,0xe8,0xfe,0x82,0x7b,0x39,0xe0,0xb0,0x31,0x70,0x50,0xc5,0xf6,0xc7,0x3b,0xc2,0x37,0x8f,0x10,0x69,0xfd,0x78,0x66,0xc2,0x63,0x68,0x63,0x31,0xfa,0x86,0x15,0xf2,0x33,0x2d,0x57,0x48,0x8c,0xf6,0x07,0xfc,0xae,0x9e,0x78,0x9f,0xcc,0x73,0x4f,0x01,0x47,0xad,0x8e,0x10,0xe2,0x42,0x2d},
{0x9b,0xd2,0xdf,0x94,0x15,0x13,0xf5,0x97,0x6a,0x4c,0x3f,0x31,0x5d,0x98,0x55,0x61,0x10,0x50,0x45,0x08,0x07,0x3f,0xa1,0xeb,0x22,0xd3,0xd2,0xb8,0x08,0x26,0x6b,0x67,0x93,0x75,0x53,0x0f,0x0d,0x7b,0x71,0x21,0x4c,0x06,0x1e,0x13,0x0b,0x69,0x4e,0x91,0x9f,0xe0,0x2a,0x75,0xae,0x87,0xb6,0x1b,0x6e,0x3c,0x42,0x9b,0xa7,0xf3,0x0b,0x42,0x47,0x2b,0x5b,0x1c,0x65,0xba,0x38,0x81,0x80,0x1b,0x1b,0x31,0xec,0xb6,0x71,0x86,0xb0,0x35,0x31,0xbc,0xb1,0x0c,0xff,0x7b,0xe0,0xf1,0x0c,0x9c,0xfa,0x2f,0x5d,0x74},
{0xbd,0xc8,0xc9,0x2b,0x1e,0x5a,0x52,0xbf,0x81,0x9d,0x47,0x26,0x08,0x26,0x5b,0xea,0xdb,0x55,0x01,0xdf,0x0e,0xc7,0x11,0xd5,0xd0,0xf5,0x0c,0x96,0xeb,0x3c,0xe2,0x1a,0x6a,0x4e,0xd3,0x21,0x57,0xdf,0x36,0x60,0xd0,0xb3,0x7b,0x99,0x27,0x88,0xdb,0xb1,0xfa,0x6a,0x75,0xc8,0xc3,0x09,0xc2,0xd3,0x39,0xc8,0x1d,0x4c,0xe5,0x5b,0xe1,0x06,0x4a,0x99,0x32,0x19,0x87,0x5d,0x72,0x5b,0xb0,0xda,0xb1,0xce,0xb5,0x1c,0x35,0x32,0x05,0xca,0xb7,0xda,0x49,0x15,0xc4,0x7d,0xf7,0xc1,0x8e,0x27,0x61,0xd8,0xde,0x58},
{0x5c,0xc5,0x66,0xf2,0x93,0x37,0x17,0xd8,0x49,0x4e,0x45,0xcc,0xc5,0x76,0xc9,0xc8,0xa8,0xc3,0x26,0xbc,0xf8,0x82,0xe3,0x5c,0xf9,0xf6,0x85,0x54,0xe8,0x9d,0xf3,0x2f,0xa8,0xc9,0xc2,0xb6,0xa8,0x5b,0xfb,0x2d,0x8c,0x59,0x2c,0xf5,0x8e,0xef,0xee,0x48,0x73,0x15,0x2d,0xf1,0x07,0x91,0x80,0x33,0xd8,0x5b,0x1d,0x53,0x6b,0x69,0xba,0x08,0x7a,0xc5,0xef,0xc3,0xee,0x3e,0xed,0x77,0x11,0x48,0xff,0xd4,0x17,0x55,0xe0,0x04,0xcb,0x71,0xa6,0xf1,0x3f,0x7a,0x3d,0xea,0x54,0xfe,0x7c,0x94,0xb4,0x33,0x06,0x12},
{0x42,0x00,0x61,0x91,0x78,0x98,0x94,0x0b,0xe8,0xfa,0xeb,0xec,0x3c,0xb1,0xe7,0x4e,0xc0,0xa4,0xf0,0x94,0x95,0x73,0xbe,0x70,0x85,0x91,0xd5,0xb4,0x99,0x0a,0xd3,0x35,0x0a,0x10,0x12,0x49,0x47,0x31,0xbd,0x82,0x06,0xbe,0x6f,0x7e,0x6d,0x7b,0x23,0xde,0xc6,0x79,0xea,0x11,0x19,0x76,0x1e,0xe1,0xde,0x3b,0x39,0xcb,0xe3,0x3b,0x43,0x07,0xf4,0x97,0xe9,0x5c,0xc0,0x44,0x79,0xff,0xa3,0x51,0x5c,0xb0,0xe4,0x3d,0x5d,0x57,0x7c,0x84,0x76,0x5a,0xfd,0x81,0x33,0x58,0x9f,0xda,0xf6,0x7a,0xde,0x3e,0x87,0x2d},
{0x09,0x34,0x37,0x43,0x64,0x31,0x7a,0x15,0xd9,0x81,0xaa,0xf4,0xee,0xb7,0xb8,0xfa,0x06,0x48,0xa6,0xf5,0xe6,0xfe,0x93,0xb0,0xb6,0xa7,0x7f,0x70,0x54,0x36,0x77,0x2e,0x81,0xf9,0x5d,0x4e,0xe1,0x02,0x62,0xaa,0xf5,0xe1,0x15,0x50,0x17,0x59,0x0d,0xa2,0x6c,0x1d,0xe2,0xba,0xd3,0x75,0xa2,0x18,0x53,0x02,0x60,0x01,0x8a,0x61,0x43,0x05,0xc1,0x23,0x4c,0x97,0xf4,0xbd,0xea,0x0d,0x93,0x46,0xce,0x9d,0x25,0x0a,0x6f,0xaa,0x2c,0xba,0x9a,0xa2,0xb8,0x2c,0x20,0x04,0x0d,0x96,0x07,0x2d,0x36,0x43,0x14,0x4b},
{0x7a,0x1f,0x6e,0xb6,0xc7,0xb7,0xc4,0xcc,0x7e,0x2f,0x0c,0xf5,0x25,0x7e,0x15,0x44,0x1c,0xaf,0x3e,0x71,0xfc,0x6d,0xf0,0x3e,0xf7,0x63,0xda,0x52,0x67,0x44,0x2f,0x58,0xcb,0x9c,0x52,0x1c,0xe9,0x54,0x7c,0x96,0xfb,0x35,0xc6,0x64,0x92,0x26,0xf6,0x30,0x65,0x19,0x12,0x78,0xf4,0xaf,0x47,0x27,0x5c,0x6f,0xf6,0xea,0x18,0x84,0x03,0x17,0xe4,0x4c,0x32,0x20,0xd3,0x7b,0x31,0xc6,0xc4,0x8b,0x48,0xa4,0xe8,0x42,0x10,0xa8,0x64,0x13,0x5a,0x4e,0x8b,0xf1,0x1e,0xb2,0xc9,0x8d,0xa2,0xcd,0x4b,0x1c,0x2a,0x0c},
{0x47,0x04,0x1f,0x6f,0xd0,0xc7,0x4d,0xd2,0x59,0xc0,0x87,0xdb,0x3e,0x9e,0x26,0xb2,0x8f,0xd2,0xb2,0xfb,0x72,0x02,0x5b,0xd1,0x77,0x48,0xf6,0xc6,0xd1,0x8b,0x55,0x7c,0x45,0x69,0xbd,0x69,0x48,0x81,0xc4,0xed,0x22,0x8d,0x1c,0xbe,0x7d,0x90,0x6d,0x0d,0xab,0xc5,0x5c,0xd5,0x12,0xd2,0x3b,0xc6,0x83,0xdc,0x14,0xa3,0x30,0x9b,0x6a,0x5a,0x3d,0x46,0x96,0xd3,0x24,0x15,0xec,0xd0,0xf0,0x24,0x5a,0xc3,0x8a,0x62,0xbb,0x12,0xa4,0x5f,0xbc,0x1c,0x79,0x3a,0x0c,0xa5,0xc3,0xaf,0xfb,0x0a,0xca,0xa5,0x04,0x04},
{0xd6,0x43,0xa7,0x0a,0x07,0x40,0x1f,0x8c,0xe8,0x5e,0x26,0x5b,0xcb,0xd0,0xba,0xcc,0xde,0xd2,0x8f,0x66,0x6b,0x04,0x4b,0x57,0x33,0x96,0xdd,0xca,0xfd,0x5b,0x39,0x46,0xd1,0x6f,0x41,0x2a,0x1b,0x9e,0xbc,0x62,0x8b,0x59,0x50,0xe3,0x28,0xf7,0xc6,0xb5,0x67,0x69,0x5d,0x3d,0xd8,0x3f,0x34,0x04,0x98,0xee,0xf8,0xe7,0x16,0x75,0x52,0x39,0x9c,0x9a,0x5d,0x1a,0x2d,0xdb,0x7f,0x11,0x2a,0x5c,0x00,0xd1,0xbc,0x45,0x77,0x9c,0xea,0x6f,0xd5,0x54,0xf1,0xbe,0xd4,0xef,0x16,0xd0,0x22,0xe8,0x29,0x9a,0x57,0x76},
{0x17,0x2a,0xc0,0x49,0x7e,0x8e,0xb6,0x45,0x7f,0xa3,0xa9,0xbc,0xa2,0x51,0xcd,0x23,0x1b,0x4c,0x22,0xec,0x11,0x5f,0xd6,0x3e,0xb1,0xbd,0x05,0x9e,0xdc,0x84,0xa3,0x43,0xf2,0x34,0xb4,0x52,0x13,0xb5,0x3c,0x33,0xe1,0x80,0xde,0x93,0x49,0x28,0x32,0xd8,0xce,0x35,0x0d,0x75,0x87,0x28,0x51,0xb5,0xc1,0x77,0x27,0x2a,0xbb,0x14,0xc5,0x02,0x45,0xb6,0xf1,0x8b,0xda,0xd5,0x4b,0x68,0x53,0x4b,0xb5,0xf6,0x7e,0xd3,0x8b,0xfb,0x53,0xd2,0xb0,0xa9,0xd7,0x16,0x39,0x31,0x59,0x80,0x54,0x61,0x09,0x92,0x60,0x11},
{0xaa,0xcf,0xda,0x29,0x69,0x16,0x4d,0xb4,0x8f,0x59,0x13,0x84,0x4c,0x9f,0x52,0xda,0x59,0x55,0x3d,0x45,0xca,0x63,0xef,0xe9,0x0b,0x8e,0x69,0xc5,0x5b,0x12,0x1e,0x35,0xcd,0x4d,0x9b,0x36,0x16,0x56,0x38,0x7a,0x63,0x35,0x5c,0x65,0xa7,0x2c,0xc0,0x75,0x21,0x80,0xf1,0xd4,0xf9,0x1b,0xc2,0x7d,0x42,0xe0,0xe6,0x91,0x74,0x7d,0x63,0x2f,0xbe,0x7b,0xf6,0x1a,0x46,0x9b,0xb4,0xd4,0x61,0x89,0xab,0xc8,0x7a,0x03,0x03,0xd6,0xfb,0x99,0xa6,0xf9,0x9f,0xe1,0xde,0x71,0x9a,0x2a,0xce,0xe7,0x06,0x2d,0x18,0x7f},
{0xec,0x68,0x01,0xab,0x64,0x8e,0x7c,0x7a,0x43,0xc5,0xed,0x15,0x55,0x4a,0x5a,0xcb,0xda,0x0e,0xcd,0x47,0xd3,0x19,0x55,0x09,0xb0,0x93,0x3e,0x34,0x8c,0xac,0xd4,0x67,0x22,0x75,0x21,0x8e,0x72,0x4b,0x45,0x09,0xd8,0xb8,0x84,0xd4,0xf4,0xe8,0x58,0xaa,0x3c,0x90,0x46,0x7f,0x4d,0x25,0x58,0xd3,0x17,0x52,0x1c,0x24,0x43,0xc0,0xac,0x44,0x77,0x57,0x7a,0x4f,0xbb,0x6b,0x7d,0x1c,0xe1,0x13,0x83,0x91,0xd4,0xfe,0x35,0x8b,0x84,0x46,0x6b,0xc9,0xc6,0xa1,0xdc,0x4a,0xbd,0x71,0xad,0x12,0x83,0x1c,0x6d,0x55},
{0x82,0x39,0x8d,0x0c,0xe3,0x40,0xef,0x17,0x34,0xfa,0xa3,0x15,0x3e,0x07,0xf7,0x31,0x6e,0x64,0x73,0x07,0xcb,0xf3,0x21,0x4f,0xff,0x4e,0x82,0x1d,0x6d,0x6c,0x6c,0x74,0x21,0xe8,0x1b,0xb1,0x56,0x67,0xf0,0x81,0xdd,0xf3,0xa3,0x10,0x23,0xf8,0xaf,0x0f,0x5d,0x46,0x99,0x6a,0x55,0xd0,0xb2,0xf8,0x05,0x7f,0x8c,0xcc,0x38,0xbe,0x7a,0x09,0xa4,0x2d,0xa5,0x7e,0x87,0xc9,0x49,0x0c,0x43,0x1d,0xdc,0x9b,0x55,0x69,0x43,0x4c,0xd2,0xeb,0xcc,0xf7,0x09,0x38,0x2c,0x02,0xbd,0x84,0xee,0x4b,0xa3,0x14,0x7e,0x57},
{0x0a,0x3b,0xa7,0x61,0xac,0x68,0xe2,0xf0,0xf5,0xa5,0x91,0x37,0x10,0xfa,0xfa,0xf2,0xe9,0x00,0x6d,0x6b,0x82,0x3e,0xe1,0xc1,0x42,0x8f,0xd7,0x6f,0xe9,0x7e,0xfa,0x60,0x2b,0xd7,0x4d,0xbd,0xbe,0xce,0xfe,0x94,0x11,0x22,0x0f,0x06,0xda,0x4f,0x6a,0xf4,0xff,0xd1,0xc8,0xc0,0x77,0x59,0x4a,0x12,0x95,0x92,0x00,0xfb,0xb8,0x04,0x53,0x70,0xc6,0x6e,0x29,0x4d,0x35,0x1d,0x3d,0xb6,0xd8,0x31,0xad,0x5f,0x3e,0x05,0xc3,0xf3,0xec,0x42,0xbd,0xb4,0x8c,0x95,0x0b,0x67,0xfd,0x53,0x63,0xa1,0x0c,0x8e,0x39,0x21},
{0xf3,0x33,0x2b,0x38,0x8a,0x05,0xf5,0x89,0xb4,0xc0,0x48,0xad,0x0b,0xba,0xe2,0x5a,0x6e,0xb3,0x3d,0xa5,0x03,0xb5,0x93,0x8f,0xe6,0x32,0xa2,0x95,0x9d,0xed,0xa3,0x5a,0x01,0x56,0xb7,0xb4,0xf9,0xaa,0x98,0x27,0x72,0xad,0x8d,0x5c,0x13,0x72,0xac,0x5e,0x23,0xa0,0xb7,0x61,0x61,0xaa,0xce,0xd2,0x4e,0x7d,0x8f,0xe9,0x84,0xb2,0xbf,0x1b,0x61,0x65,0xd9,0xc7,0xe9,0x77,0x67,0x65,0x36,0x80,0xc7,0x72,0x54,0x12,0x2b,0xcb,0xee,0x6e,0x50,0xd9,0x99,0x32,0x05,0x65,0xcc,0x57,0x89,0x5e,0x4e,0xe1,0x07,0x4a},
{0x99,0xf9,0x0d,0x98,0xcb,0x12,0xe4,0x4e,0x71,0xc7,0x6e,0x3c,0x6f,0xd7,0x15,0xa3,0xfd,0x77,0x5c,0x92,0xde,0xed,0xa5,0xbb,0x02,0x34,0x31,0x1d,0x39,0xac,0x0b,0x3f,0x9b,0xa4,0x77,0xc4,0xcd,0x58,0x0b,0x24,0x17,0xf0,0x47,0x64,0xde,0xda,0x38,0xfd,0xad,0x6a,0xc8,0xa7,0x32,0x8d,0x92,0x19,0x81,0xa0,0xaf,0x84,0xed,0x7a,0xaf,0x50,0xe5,0x5b,0xf6,0x15,0x01,0xde,0x4f,0x6e,0xb2,0x09,0x61,0x21,0x21,0x26,0x98,0x29,0xd9,0xd6,0xad,0x0b,0x81,0x05,0x02,0x78,0x06,0xd0,0xeb,0xba,0x16,0xa3,0x21,0x19},
{0xfc,0x70,0xb8,0xdf,0x7e,0x2f,0x42,0x89,0xbd,0xb3,0x76,0x4f,0xeb,0x6b,0x29,0x2c,0xf7,0x4d,0xc2,0x36,0xd4,0xf1,0x38,0x07,0xb0,0xae,0x73,0xe2,0x41,0xdf,0x58,0x64,0x8b,0xc1,0xf3,0xd9,0x9a,0xad,0x5a,0xd7,0x9c,0xc1,0xb1,0x60,0xef,0x0e,0x6a,0x56,0xd9,0x0e,0x5c,0x25,0xac,0x0b,0x9a,0x3e,0xf5,0xc7,0x62,0xa0,0xec,0x9d,0x04,0x7b,0x83,0x44,0x44,0x35,0x7a,0xe3,0xcb,0xdc,0x93,0xbe,0xed,0x0f,0x33,0x79,0x88,0x75,0x87,0xdd,0xc5,0x12,0xc3,0x04,0x60,0x78,0x64,0x0e,0x95,0xc2,0xcb,0xdc,0x93,0x60},
{0x6d,0x70,0xe0,0x85,0x85,0x9a,0xf3,0x1f,0x33,0x39,0xe7,0xb3,0xd8,0xa5,0xd0,0x36,0x3b,0x45,0x8f,0x71,0xe1,0xf2,0xb9,0x43,0x7c,0xa9,0x27,0x48,0x08,0xea,0xd1,0x57,0x4b,0x03,0x84,0x60,0xbe,0xee,0xde,0x6b,0x54,0xb8,0x0f,0x78,0xb6,0xc2,0x99,0x31,0x95,0x06,0x2d,0xb6,0xab,0x76,0x33,0x97,0x90,0x7d,0x64,0x8b,0xc9,0x80,0x31,0x6e,0x71,0xb0,0x28,0xa1,0xe7,0xb6,0x7a,0xee,0xaa,0x8b,0xa8,0x93,0x6d,0x59,0xc1,0xa4,0x30,0x61,0x21,0xb2,0x82,0xde,0xb4,0xf7,0x18,0xbd,0x97,0xdd,0x9d,0x99,0x3e,0x36},
{0xc4,0x1f,0xee,0x35,0xc1,0x43,0xa8,0x96,0xcf,0xc8,0xe4,0x08,0x55,0xb3,0x6e,0x97,0x30,0xd3,0x8c,0xb5,0x01,0x68,0x2f,0xb4,0x2b,0x05,0x3a,0x69,0x78,0x9b,0xee,0x48,0xc6,0xae,0x4b,0xe2,0xdc,0x48,0x18,0x2f,0x60,0xaf,0xbc,0xba,0x55,0x72,0x9b,0x76,0x31,0xe9,0xef,0x3c,0x6e,0x3c,0xcb,0x90,0x55,0xb3,0xf9,0xc6,0x9b,0x97,0x1f,0x23,0xc6,0xf3,0x2a,0xcc,0x4b,0xde,0x31,0x5c,0x1f,0x8d,0x20,0xfe,0x30,0xb0,0x4b,0xb0,0x66,0xb4,0x4f,0xc1,0x09,0x70,0x8d,0xb7,0x13,0x24,0x79,0x08,0x9b,0xfa,0x9b,0x07},
{0xf4,0x0d,0x30,0xda,0x51,0x3a,0x90,0xe3,0xb0,0x5a,0xa9,0x3d,0x23,0x64,0x39,0x84,0x80,0x64,0x35,0x0b,0x2d,0xf1,0x3c,0xed,0x94,0x71,0x81,0x84,0xf6,0x77,0x8c,0x03,0x45,0x42,0xd5,0xa2,0x80,0xed,0xc9,0xf3,0x52,0x39,0xf6,0x77,0x78,0x8b,0xa0,0x0a,0x75,0x54,0x08,0xd1,0x63,0xac,0x6d,0xd7,0x6b,0x63,0x70,0x94,0x15,0xfb,0xf4,0x1e,0xec,0x7b,0x16,0x5b,0xe6,0x5e,0x4e,0x85,0xc2,0xcd,0xd0,0x96,0x42,0x0a,0x59,0x59,0x99,0x21,0x10,0x98,0x34,0xdf,0xb2,0x72,0x56,0xff,0x0b,0x4a,0x2a,0xe9,0x5e,0x57},
{0xcf,0x2f,0x18,0x8a,0x90,0x80,0xc0,0xd4,0xbd,0x9d,0x48,0x99,0xc2,0x70,0xe1,0x30,0xde,0x33,0xf7,0x52,0x57,0xbd,0xba,0x05,0x00,0xfd,0xd3,0x2c,0x11,0xe7,0xd4,0x43,0x01,0xd8,0xa4,0x0a,0x45,0xbc,0x46,0x5d,0xd8,0xb9,0x33,0xa5,0x27,0x12,0xaf,0xc3,0xc2,0x06,0x89,0x2b,0x26,0x3b,0x9e,0x38,0x1b,0x58,0x2f,0x38,0x7e,0x1e,0x0a,0x20,0xc5,0x3a,0xf9,0xea,0x67,0xb9,0x8d,0x51,0xc0,0x52,0x66,0x05,0x9b,0x98,0xbc,0x71,0xf5,0x97,0x71,0x56,0xd9,0x85,0x2b,0xfe,0x38,0x4e,0x1e,0x65,0x52,0xca,0x0e,0x05},
{0x9c,0x0c,0x3f,0x45,0xde,0x1a,0x43,0xc3,0x9b,0x3b,0x70,0xff,0x5e,0x04,0xf5,0xe9,0x3d,0x7b,0x84,0xed,0xc9,0x7a,0xd9,0xfc,0xc6,0xf4,0x58,0x1c,0xc2,0xe6,0x0e,0x4b,0xea,0x68,0xe6,0x60,0x76,0x39,0xac,0x97,0x97,0xb4,0x3a,0x15,0xfe,0xbb,0x19,0x9b,0x9f,0xa7,0xec,0x34,0xb5,0x79,0xb1,0x4c,0x57,0xae,0x31,0xa1,0x9f,0xc0,0x51,0x61,0x96,0x5d,0xf0,0xfd,0x0d,0x5c,0xf5,0x3a,0x7a,0xee,0xb4,0x2a,0xe0,0x2e,0x26,0xdd,0x09,0x17,0x17,0x12,0x87,0xbb,0xb2,0x11,0x0b,0x03,0x0f,0x80,0xfa,0x24,0xef,0x1f},
{0x96,0x31,0xa7,0x1a,0xfb,0x53,0xd6,0x37,0x18,0x64,0xd7,0x3f,0x30,0x95,0x94,0x0f,0xb2,0x17,0x3a,0xfb,0x09,0x0b,0x20,0xad,0x3e,0x61,0xc8,0x2f,0x29,0x49,0x4d,0x54,0x86,0x6b,0x97,0x30,0xf5,0xaf,0xd2,0x22,0x04,0x46,0xd2,0xc2,0x06,0xb8,0x90,0x8d,0xe5,0xba,0xe5,0x4d,0x6c,0x89,0xa1,0xdc,0x17,0x0c,0x34,0xc8,0xe6,0x5f,0x00,0x28,0x88,0x86,0x52,0x34,0x9f,0xba,0xef,0x6a,0xa1,0x7d,0x10,0x25,0x94,0xff,0x1b,0x5c,0x36,0x4b,0xd9,0x66,0xcd,0xbb,0x5b,0xf7,0xfa,0x6d,0x31,0x0f,0x93,0x72,0xe4,0x72},
{0x4f,0x08,0x81,0x97,0x8c,0x20,0x95,0x26,0xe1,0x0e,0x45,0x23,0x0b,0x2a,0x50,0xb1,0x02,0xde,0xef,0x03,0xa6,0xae,0x9d,0xfd,0x4c,0xa3,0x33,0x27,0x8c,0x2e,0x9d,0x5a,0x27,0x76,0x2a,0xd3,0x35,0xf6,0xf3,0x07,0xf0,0x66,0x65,0x5f,0x86,0x4d,0xaa,0x7a,0x50,0x44,0xd0,0x28,0x97,0xe7,0x85,0x3c,0x38,0x64,0xe0,0x0f,0x00,0x7f,0xee,0x1f,0xe5,0xf7,0xdb,0x03,0xda,0x05,0x53,0x76,0xbd,0xcd,0x34,0x14,0x49,0xf2,0xda,0xa4,0xec,0x88,0x4a,0xd2,0xcd,0xd5,0x4a,0x7b,0x43,0x05,0x04,0xee,0x51,0x40,0xf9,0x00},
{0xb2,0x30,0xd3,0xc3,0x23,0x6b,0x35,0x8d,0x06,0x1b,0x47,0xb0,0x9b,0x8b,0x1c,0xf2,0x3c,0xb8,0x42,0x6e,0x6c,0x31,0x6c,0xb3,0x0d,0xb1,0xea,0x8b,0x7e,0x9c,0xd7,0x07,0x53,0x97,0xaf,0x07,0xbb,0x93,0xef,0xd7,0xa7,0x66,0xb7,0x3d,0xcf,0xd0,0x3e,0x58,0xc5,0x1e,0x0b,0x6e,0xbf,0x98,0x69,0xce,0x52,0x04,0xd4,0x5d,0xd2,0xff,0xb7,0x47,0x12,0xdd,0x08,0xbc,0x9c,0xfb,0xfb,0x87,0x9b,0xc2,0xee,0xe1,0x3a,0x6b,0x06,0x8a,0xbf,0xc1,0x1f,0xdb,0x2b,0x24,0x57,0x0d,0xb6,0x4b,0xa6,0x5e,0xa3,0x20,0x35,0x1c},
{0x4a,0xa3,0xcb,0xbc,0xa6,0x53,0xd2,0x80,0x9b,0x21,0x38,0x38,0xa1,0xc3,0x61,0x3e,0x96,0xe3,0x82,0x98,0x01,0xb6,0xc3,0x90,0x6f,0xe6,0x0e,0x5d,0x77,0x05,0x3d,0x1c,0x59,0xc0,0x6b,0x21,0x40,0x6f,0xa8,0xcd,0x7e,0xd8,0xbc,0x12,0x1d,0x23,0xbb,0x1f,0x90,0x09,0xc7,0x17,0x9e,0x6a,0x95,0xb4,0x55,0x2e,0xd1,0x66,0x3b,0x0c,0x75,0x38,0x1a,0xe5,0x22,0x94,0x40,0xf1,0x2e,0x69,0x71,0xf6,0x5d,0x2b,0x3c,0xc7,0xc0,0xcb,0x29,0xe0,0x4c,0x74,0xe7,0x4f,0x01,0x21,0x7c,0x48,0x30,0xd3,0xc7,0xe2,0x21,0x06},
{0x8d,0x83,0x59,0x82,0xcc,0x60,0x98,0xaf,0xdc,0x9a,0x9f,0xc6,0xc1,0x48,0xea,0x90,0x30,0x1e,0x58,0x65,0x37,0x48,0x26,0x65,0xbc,0xa5,0xd3,0x7b,0x09,0xd6,0x07,0x00,0xf3,0xf0,0xdb,0xb0,0x96,0x17,0xae,0xb7,0x96,0xe1,0x7c,0xe1,0xb9,0xaf,0xdf,0x54,0xb4,0xa3,0xaa,0xe9,0x71,0x30,0x92,0x25,0x9d,0x2e,0x00,0xa1,0x9c,0x58,0x8e,0x5d,0x4b,0xa9,0x42,0x08,0x95,0x1d,0xbf,0xc0,0x3e,0x2e,0x8f,0x58,0x63,0xc3,0xd3,0xb2,0xef,0xe2,0x51,0xbb,0x38,0x14,0x96,0x0a,0x86,0xbf,0x1c,0x3c,0x78,0xd7,0x83,0x15},
{0xe1,0x7a,0xa2,0x5d,0xef,0xa2,0xee,0xec,0x74,0x01,0x67,0x55,0x14,0x3a,0x7c,0x59,0x7a,0x16,0x09,0x66,0x12,0x2a,0xa6,0xc9,0x70,0x8f,0xed,0x81,0x2e,0x5f,0x2a,0x25,0xc7,0x28,0x9d,0xcc,0x04,0x47,0x03,0x90,0x8f,0xc5,0x2c,0xf7,0x9e,0x67,0x1b,0x1d,0x26,0x87,0x5b,0xbe,0x5f,0x2b,0xe1,0x16,0x0a,0x58,0xc5,0x83,0x4e,0x06,0x58,0x49,0x0d,0xe8,0x66,0x50,0x26,0x94,0x28,0x0d,0x6b,0x8c,0x7c,0x30,0x85,0xf7,0xc3,0xfc,0xfd,0x12,0x11,0x0c,0x78,0xda,0x53,0x1b,0x88,0xb3,0x43,0xd8,0x0b,0x17,0x9c,0x07},
{0xff,0x6f,0xfa,0x64,0xe4,0xec,0x06,0x05,0x23,0xe5,0x05,0x62,0x1e,0x43,0xe3,0xbe,0x42,0xea,0xb8,0x51,0x24,0x42,0x79,0x35,0x00,0xfb,0xc9,0x4a,0xe3,0x05,0xec,0x6d,0x56,0xd0,0xd5,0xc0,0x50,0xcd,0xd6,0xcd,0x3b,0x57,0x03,0xbb,0x6d,0x68,0xf7,0x9a,0x48,0xef,0xc3,0xf3,0x3f,0x72,0xa6,0x3c,0xcc,0x8a,0x7b,0x31,0xd7,0xc0,0x68,0x67,0xb3,0xc1,0x55,0xf1,0xe5,0x25,0xb6,0x94,0x91,0x7b,0x7b,0x99,0xa7,0xf3,0x7b,0x41,0x00,0x26,0x6b,0x6d,0xdc,0xbd,0x2c,0xc2,0xf4,0x52,0xcd,0xdd,0x14,0x5e,0x44,0x51},
{0x51,0x49,0x14,0x3b,0x4b,0x2b,0x50,0x57,0xb3,0xbc,0x4b,0x44,0x6b,0xff,0x67,0x8e,0xdb,0x85,0x63,0x16,0x27,0x69,0xbd,0xb8,0xc8,0x95,0x92,0xe3,0x31,0x6f,0x18,0x13,0x55,0xa4,0xbe,0x2b,0xab,0x47,0x31,0x89,0x29,0x91,0x07,0x92,0x4f,0xa2,0x53,0x8c,0xa7,0xf7,0x30,0xbe,0x48,0xf9,0x49,0x4b,0x3d,0xd4,0x4f,0x6e,0x08,0x90,0xe9,0x12,0x2e,0xbb,0xdf,0x7f,0xb3,0x96,0x0c,0xf1,0xf9,0xea,0x1c,0x12,0x5e,0x93,0x9a,0x9f,0x3f,0x98,0x5b,0x3a,0xc4,0x36,0x11,0xdf,0xaf,0x99,0x3e,0x5d,0xf0,0xe3,0xb2,0x77},
{0xde,0xc4,0x2e,0x9c,0xc5,0xa9,0x6f,0x29,0xcb,0xf3,0x84,0x4f,0xbf,0x61,0x8b,0xbc,0x08,0xf9,0xa8,0x17,0xd9,0x06,0x77,0x1c,0x5d,0x25,0xd3,0x7a,0xfc,0x95,0xb7,0x63,0xa4,0xb0,0xdd,0x12,0x9c,0x63,0x98,0xd5,0x6b,0x86,0x24,0xc0,0x30,0x9f,0xd1,0xa5,0x60,0xe4,0xfc,0x58,0x03,0x2f,0x7c,0xd1,0x8a,0x5e,0x09,0x2e,0x15,0x95,0xa1,0x07,0xc8,0x5f,0x9e,0x38,0x02,0x8f,0x36,0xa8,0x3b,0xe4,0x8d,0xcf,0x02,0x3b,0x43,0x90,0x43,0x26,0x41,0xc5,0x5d,0xfd,0xa1,0xaf,0x37,0x01,0x2f,0x03,0x3d,0xe8,0x8f,0x3e},
{0x94,0xa2,0x70,0x05,0xb9,0x15,0x8b,0x2f,0x49,0x45,0x08,0x67,0x70,0x42,0xf2,0x94,0x84,0xfd,0xbb,0x61,0xe1,0x5a,0x1c,0xde,0x07,0x40,0xac,0x7f,0x79,0x3b,0xba,0x75,0x3c,0xd1,0xef,0xe8,0x8d,0x4c,0x70,0x08,0x31,0x37,0xe0,0x33,0x8e,0x1a,0xc5,0xdf,0xe3,0xcd,0x60,0x12,0xa5,0x5d,0x9d,0xa5,0x86,0x8c,0x25,0xa6,0x99,0x08,0xd6,0x22,0x96,0xd1,0xcd,0x70,0xc0,0xdb,0x39,0x62,0x9a,0x8a,0x7d,0x6c,0x8b,0x8a,0xfe,0x60,0x60,0x12,0x40,0xeb,0xbc,0x47,0x88,0xb3,0x5e,0x9e,0x77,0x87,0x7b,0xd0,0x04,0x09},
{0x9c,0x91,0xba,0xdd,0xd4,0x1f,0xce,0xb4,0xaa,0x8d,0x4c,0xc7,0x3e,0xdb,0x31,0xcf,0x51,0xcc,0x86,0xad,0x63,0xcc,0x63,0x2c,0x07,0xde,0x1d,0xbc,0x3f,0x14,0xe2,0x43,0xb9,0x40,0xf9,0x48,0x66,0x2d,0x32,0xf4,0x39,0x0c,0x2d,0xbd,0x0c,0x2f,0x95,0x06,0x31,0xf9,0x81,0xa0,0xad,0x97,0x76,0x16,0x6c,0x2a,0xf7,0xba,0xce,0xaa,0x40,0x62,0xa0,0x95,0xa2,0x5b,0x9c,0x74,0x34,0xf8,0x5a,0xd2,0x37,0xca,0x5b,0x7c,0x94,0xd6,0x6a,0x31,0xc9,0xe7,0xa7,0x3b,0xf1,0x66,0xac,0x0c,0xb4,0x8d,0x23,0xaf,0xbd,0x56},
{0xeb,0x33,0x35,0xf5,0xe3,0xb9,0x2a,0x36,0x40,0x3d,0xb9,0x6e,0xd5,0x68,0x85,0x33,0x72,0x55,0x5a,0x1d,0x52,0x14,0x0e,0x9e,0x18,0x13,0x74,0x83,0x6d,0xa8,0x24,0x1d,0xb2,0x3b,0x9d,0xc1,0x6c,0xd3,0x10,0x13,0xb9,0x86,0x23,0x62,0xb7,0x6b,0x2a,0x06,0x5c,0x4f,0xa1,0xd7,0x91,0x85,0x9b,0x7c,0x54,0x57,0x1e,0x7e,0x50,0x31,0xaa,0x03,0x1f,0xce,0xd4,0xff,0x48,0x76,0xec,0xf4,0x1c,0x8c,0xac,0x54,0xf0,0xea,0x45,0xe0,0x7c,0x35,0x09,0x1d,0x82,0x25,0xd2,0x88,0x59,0x48,0xeb,0x9a,0xdc,0x61,0xb2,0x43},
{0xbb,0x79,0xbb,0x88,0x19,0x1e,0x5b,0xe5,0x9d,0x35,0x7a,0xc1,0x7d,0xd0,0x9e,0xa0,0x33,0xea,0x3d,0x60,0xe2,0x2e,0x2c,0xb0,0xc2,0x6b,0x27,0x5b,0xcf,0x55,0x60,0x32,0x64,0x13,0x95,0x6c,0x8b,0x3d,0x51,0x19,0x7b,0xf4,0x0b,0x00,0x26,0x71,0xfe,0x94,0x67,0x95,0x4f,0xd5,0xdd,0x10,0x8d,0x02,0x64,0x09,0x94,0x42,0xe2,0xd5,0xb4,0x02,0xf2,0x8d,0xd1,0x28,0xcb,0x55,0xa1,0xb4,0x08,0xe5,0x6c,0x18,0x46,0x46,0xcc,0xea,0x89,0x43,0x82,0x6c,0x93,0xf4,0x9c,0xc4,0x10,0x34,0x5d,0xae,0x09,0xc8,0xa6,0x27},
{0x88,0xb1,0x0d,0x1f,0xcd,0xeb,0xa6,0x8b,0xe8,0x5b,0x5a,0x67,0x3a,0xd7,0xd3,0x37,0x5a,0x58,0xf5,0x15,0xa3,0xdf,0x2e,0xf2,0x7e,0xa1,0x60,0xff,0x74,0x71,0xb6,0x2c,0x54,0x69,0x3d,0xc4,0x0a,0x27,0x2c,0xcd,0xb2,0xca,0x66,0x6a,0x57,0x3e,0x4a,0xdd,0x6c,0x03,0xd7,0x69,0x24,0x59,0xfa,0x79,0x99,0x25,0x8c,0x3d,0x60,0x03,0x15,0x22,0xd0,0xe1,0x0b,0x39,0xf9,0xcd,0xee,0x59,0xf1,0xe3,0x8c,0x72,0x44,0x20,0x42,0xa9,0xf4,0xf0,0x94,0x7a,0x66,0x1c,0x89,0x82,0x36,0xf4,0x90,0x38,0xb7,0xf4,0x1d,0x7b},
{0x24,0xa2,0xb2,0xb3,0xe0,0xf2,0x92,0xe4,0x60,0x11,0x55,0x2b,0x06,0x9e,0x6c,0x7c,0x0e,0x7b,0x7f,0x0d,0xe2,0x8f,0xeb,0x15,0x92,0x59,0xfc,0x58,0x26,0xef,0xfc,0x61,0x8c,0xf5,0xf8,0x07,0x18,0x22,0x2e,0x5f,0xd4,0x09,0x94,0xd4,0x9f,0x5c,0x55,0xe3,0x30,0xa6,0xb6,0x1f,0x8d,0xa8,0xaa,0xb2,0x3d,0xe0,0x52,0xd3,0x45,0x82,0x69,0x68,0x7a,0x18,0x18,0x2a,0x85,0x5d,0xb1,0xdb,0xd7,0xac,0xdd,0x86,0xd3,0xaa,0xe4,0xf3,0x82,0xc4,0xf6,0x0f,0x81,0xe2,0xba,0x44,0xcf,0x01,0xaf,0x3d,0x47,0x4c,0xcf,0x46},
{0xf9,0xe5,0xc4,0x9e,0xed,0x25,0x65,0x42,0x03,0x33,0x90,0x16,0x01,0xda,0x5e,0x0e,0xdc,0xca,0xe5,0xcb,0xf2,0xa7,0xb1,0x72,0x40,0x5f,0xeb,0x14,0xcd,0x7b,0x38,0x29,0x40,0x81,0x49,0xf1,0xa7,0x6e,0x3c,0x21,0x54,0x48,0x2b,0x39,0xf8,0x7e,0x1e,0x7c,0xba,0xce,0x29,0x56,0x8c,0xc3,0x88,0x24,0xbb,0xc5,0x8c,0x0d,0xe5,0xaa,0x65,0x10,0x57,0x0d,0x20,0xdf,0x25,0x45,0x2c,0x1c,0x4a,0x67,0xca,0xbf,0xd6,0x2d,0x3b,0x5c,0x30,0x40,0x83,0xe1,0xb1,0xe7,0x07,0x0a,0x16,0xe7,0x1c,0x4f,0xe6,0x98,0xa1,0x69},
{0xbc,0x78,0x1a,0xd9,0xe0,0xb2,0x62,0x90,0x67,0x96,0x50,0xc8,0x9c,0x88,0xc9,0x47,0xb8,0x70,0x50,0x40,0x66,0x4a,0xf5,0x9d,0xbf,0xa1,0x93,0x24,0xa9,0xe6,0x69,0x73,0xed,0xca,0xc5,0xdc,0x34,0x44,0x01,0xe1,0x33,0xfb,0x84,0x3c,0x96,0x5d,0xed,0x47,0xe7,0xa0,0x86,0xed,0x76,0x95,0x01,0x70,0xe4,0xf9,0x67,0xd2,0x7b,0x69,0xb2,0x25,0x64,0x68,0x98,0x13,0xfb,0x3f,0x67,0x9d,0xb8,0xc7,0x5d,0x41,0xd9,0xfb,0xa5,0x3c,0x5e,0x3b,0x27,0xdf,0x3b,0xcc,0x4e,0xe0,0xd2,0x4c,0x4e,0xb5,0x3d,0x68,0x20,0x14},
{0x97,0xd1,0x9d,0x24,0x1e,0xbd,0x78,0xb4,0x02,0xc1,0x58,0x5e,0x00,0x35,0x0c,0x62,0x5c,0xac,0xba,0xcc,0x2f,0xd3,0x02,0xfb,0x2d,0xa7,0x08,0xf5,0xeb,0x3b,0xb6,0x60,0xd0,0x5a,0xcc,0xc1,0x6f,0xbb,0xee,0x34,0x8b,0xac,0x46,0x96,0xe9,0x0c,0x1b,0x6a,0x53,0xde,0x6b,0xa6,0x49,0xda,0xb0,0xd3,0xc1,0x81,0xd0,0x61,0x41,0x3b,0xe8,0x31,0x4f,0x2b,0x06,0x9e,0x12,0xc7,0xe8,0x97,0xd8,0x0a,0x32,0x29,0x4f,0x8f,0xe4,0x49,0x3f,0x68,0x18,0x6f,0x4b,0xe1,0xec,0x5b,0x17,0x03,0x55,0x2d,0xb6,0x1e,0xcf,0x55},
{0x58,0x3d,0xc2,0x65,0x10,0x10,0x79,0x58,0x9c,0x81,0x94,0x50,0x6d,0x08,0x9d,0x8b,0xa7,0x5f,0xc5,0x12,0xa9,0x2f,0x40,0xe2,0xd4,0x91,0x08,0x57,0x64,0x65,0x9a,0x66,0x52,0x8c,0xf5,0x7d,0xe3,0xb5,0x76,0x30,0x36,0xcc,0x99,0xe7,0xdd,0xb9,0x3a,0xd7,0x20,0xee,0x13,0x49,0xe3,0x1c,0x83,0xbd,0x33,0x01,0xba,0x62,0xaa,0xfb,0x56,0x1a,0xec,0xc9,0x9d,0x5c,0x50,0x6b,0x3e,0x94,0x1a,0x37,0x7c,0xa7,0xbb,0x57,0x25,0x30,0x51,0x76,0x34,0x41,0x56,0xae,0x73,0x98,0x5c,0x8a,0xc5,0x99,0x67,0x83,0xc4,0x13},
{0xb9,0xe1,0xb3,0x5a,0x46,0x5d,0x3a,0x42,0x61,0x3f,0xf1,0xc7,0x87,0xc1,0x13,0xfc,0xb6,0xb9,0xb5,0xec,0x64,0x36,0xf8,0x19,0x07,0xb6,0x37,0xa6,0x93,0x0c,0xf8,0x66,0x80,0xd0,0x8b,0x5d,0x6a,0xfb,0xdc,0xc4,0x42,0x48,0x1a,0x57,0xec,0xc4,0xeb,0xde,0x65,0x53,0xe5,0xb8,0x83,0xe8,0xb2,0xd4,0x27,0xb8,0xe5,0xc8,0x7d,0xc8,0xbd,0x50,0x11,0xe1,0xdf,0x6e,0x83,0x37,0x6d,0x60,0xd9,0xab,0x11,0xf0,0x15,0x3e,0x35,0x32,0x96,0x3b,0xb7,0x25,0xc3,0x3a,0xb0,0x64,0xae,0xd5,0x5f,0x72,0x44,0x64,0xd5,0x1d},
{0x7d,0x12,0x62,0x33,0xf8,0x7f,0xa4,0x8f,0x15,0x7c,0xcd,0x71,0xc4,0x6a,0x9f,0xbc,0x8b,0x0c,0x22,0x49,0x43,0x45,0x71,0x6e,0x2e,0x73,0x9f,0x21,0x12,0x59,0x64,0x0e,0x9a,0xc8,0xba,0x08,0x00,0xe6,0x97,0xc2,0xe0,0xc3,0xe1,0xea,0x11,0xea,0x4c,0x7d,0x7c,0x97,0xe7,0x9f,0xe1,0x8b,0xe3,0xf3,0xcd,0x05,0xa3,0x63,0x0f,0x45,0x3a,0x3a,0x27,0x46,0x39,0xd8,0x31,0x2f,0x8f,0x07,0x10,0xa5,0x94,0xde,0x83,0x31,0x9d,0x38,0x80,0x6f,0x99,0x17,0x6d,0x6c,0xe3,0xd1,0x7b,0xa8,0xa9,0x93,0x93,0x8d,0x8c,0x31},
{0x19,0xfe,0xff,0x2a,0x03,0x5d,0x74,0xf2,0x66,0xdb,0x24,0x7f,0x49,0x3c,0x9f,0x0c,0xef,0x98,0x85,0xba,0xe3,0xd3,0x98,0xbc,0x14,0x53,0x1d,0x9a,0x67,0x7c,0x4c,0x22,0x98,0xd3,0x1d,0xab,0x29,0x9e,0x66,0x5d,0x3b,0x9e,0x2d,0x34,0x58,0x16,0x92,0xfc,0xcd,0x73,0x59,0xf3,0xfd,0x1d,0x85,0x55,0xf6,0x0a,0x95,0x25,0xc3,0x41,0x9a,0x50,0xe9,0x25,0xf9,0xa6,0xdc,0x6e,0xc0,0xbd,0x33,0x1f,0x1b,0x64,0xf4,0xf3,0x3e,0x79,0x89,0x3e,0x83,0x9d,0x80,0x12,0xec,0x82,0x89,0x13,0xa1,0x28,0x23,0xf0,0xbf,0x05},
{0x0b,0xe0,0xca,0x23,0x70,0x13,0x32,0x36,0x59,0xcf,0xac,0xd1,0x0a,0xcf,0x4a,0x54,0x88,0x1c,0x1a,0xd2,0x49,0x10,0x74,0x96,0xa7,0x44,0x2a,0xfa,0xc3,0x8c,0x0b,0x78,0xe4,0x12,0xc5,0x0d,0xdd,0xa0,0x81,0x68,0xfe,0xfa,0xa5,0x44,0xc8,0x0d,0xe7,0x4f,0x40,0x52,0x4a,0x8f,0x6b,0x8e,0x74,0x1f,0xea,0xa3,0x01,0xee,0xcd,0x77,0x62,0x57,0x5f,0x30,0x4f,0x23,0xbc,0x8a,0xf3,0x1e,0x08,0xde,0x05,0x14,0xbd,0x7f,0x57,0x9a,0x0d,0x2a,0xe6,0x34,0x14,0xa5,0x82,0x5e,0xa1,0xb7,0x71,0x62,0x72,0x18,0xf4,0x5f},
{0x9d,0xdb,0x89,0x17,0x0c,0x08,0x8e,0x39,0xf5,0x78,0xe7,0xf3,0x25,0x20,0x60,0xa7,0x5d,0x03,0xbd,0x06,0x4c,0x89,0x98,0xfa,0xbe,0x66,0xa9,0x25,0xdc,0x03,0x6a,0x10,0x40,0x95,0xb6,0x13,0xe8,0x47,0xdb,0xe5,0xe1,0x10,0x26,0x43,0x3b,0x2a,0x5d,0xf3,0x76,0x12,0x78,0x38,0xe9,0x26,0x1f,0xac,0x69,0xcb,0xa0,0xa0,0x8c,0xdb,0xd4,0x29,0xd0,0x53,0x33,0x33,0xaf,0x0a,0xad,0xd9,0xe5,0x09,0xd3,0xac,0xa5,0x9d,0x66,0x38,0xf0,0xf7,0x88,0xc8,0x8a,0x65,0x57,0x3c,0xfa,0xbe,0x2c,0x05,0x51,0x8a,0xb3,0x4a},
{0x93,0xd5,0x68,0x67,0x25,0x2b,0x7c,0xda,0x13,0xca,0x22,0x44,0x57,0xc0,0xc1,0x98,0x1d,0xce,0x0a,0xca,0xd5,0x0b,0xa8,0xf1,0x90,0xa6,0x88,0xc0,0xad,0xd1,0xcd,0x29,0x9c,0xc0,0xdd,0x5f,0xef,0xd1,0xcf,0xd6,0xce,0x5d,0x57,0xf7,0xfd,0x3e,0x2b,0xe8,0xc2,0x34,0x16,0x20,0x5d,0x6b,0xd5,0x25,0x9b,0x2b,0xed,0x04,0xbb,0xc6,0x41,0x30,0x48,0xe1,0x56,0xd9,0xf9,0xf2,0xf2,0x0f,0x2e,0x6b,0x35,0x9f,0x75,0x97,0xe7,0xad,0x5c,0x02,0x6c,0x5f,0xbb,0x98,0x46,0x1a,0x7b,0x9a,0x04,0x14,0x68,0xbd,0x4b,0x10},
{0x67,0xed,0xf1,0x68,0x31,0xfd,0xf0,0x51,0xc2,0x3b,0x6f,0xd8,0xcd,0x1d,0x81,0x2c,0xde,0xf2,0xd2,0x04,0x43,0x5c,0xdc,0x44,0x49,0x71,0x2a,0x09,0x57,0xcc,0xe8,0x5b,0x63,0xf1,0x7f,0xd6,0x5f,0x9a,0x5d,0xa9,0x81,0x56,0xc7,0x4c,0x9d,0xe6,0x2b,0xe9,0x57,0xf2,0x20,0xde,0x4c,0x02,0xf8,0xb7,0xf5,0x2d,0x07,0xfb,0x20,0x2a,0x4f,0x20,0x79,0xb0,0xeb,0x30,0x3d,0x3b,0x14,0xc8,0x30,0x2e,0x65,0xbd,0x5a,0x15,0x89,0x75,0x31,0x5c,0x6d,0x8f,0x31,0x3c,0x3c,0x65,0x1f,0x16,0x79,0xc2,0x17,0xfb,0x70,0x25},
{0x75,0x15,0xb6,0x2c,0x7f,0x36,0xfa,0x3e,0x6c,0x02,0xd6,0x1c,0x76,0x6f,0xf9,0xf5,0x62,0x25,0xb5,0x65,0x2a,0x14,0xc7,0xe8,0xcd,0x0a,0x03,0x53,0xea,0x65,0xcb,0x3d,0x5a,0x24,0xb8,0x0b,0x55,0xa9,0x2e,0x19,0xd1,0x50,0x90,0x8f,0xa8,0xfb,0xe6,0xc8,0x35,0xc9,0xa4,0x88,0x2d,0xea,0x86,0x79,0x68,0x86,0x01,0xde,0x91,0x5f,0x1c,0x24,0xaa,0x6c,0xde,0x40,0x29,0x17,0xd8,0x28,0x3a,0x73,0xd9,0x22,0xf0,0x2c,0xbf,0x8f,0xd1,0x01,0x5b,0x23,0xdd,0xfc,0xd7,0x16,0xe5,0xf0,0xcd,0x5f,0xdd,0x0e,0x42,0x08},
{0x4a,0xfa,0x62,0x83,0xab,0x20,0xff,0xcd,0x6e,0x3e,0x1a,0xe2,0xd4,0x18,0xe1,0x57,0x2b,0xe6,0x39,0xfc,0x17,0x96,0x17,0xe3,0xfd,0x69,0x17,0xbc,0xef,0x53,0x9a,0x0d,0xce,0x10,0xf4,0x04,0x4e,0xc3,0x58,0x03,0x85,0x06,0x6e,0x27,0x5a,0x5b,0x13,0xb6,0x21,0x15,0xb9,0xeb,0xc7,0x70,0x96,0x5d,0x9c,0x88,0xdb,0x21,0xf3,0x54,0xd6,0x04,0xd5,0xb5,0xbd,0xdd,0x16,0xc1,0x7d,0x5e,0x2d,0xdd,0xa5,0x8d,0xb6,0xde,0x54,0x29,0x92,0xa2,0x34,0x33,0x17,0x08,0xb6,0x1c,0xd7,0x1a,0x99,0x18,0x26,0x4f,0x7a,0x4a},
{0x95,0x5f,0xb1,0x5f,0x02,0x18,0xa7,0xf4,0x8f,0x1b,0x5c,0x6b,0x34,0x5f,0xf6,0x3d,0x12,0x11,0xe0,0x00,0x85,0xf0,0xfc,0xcd,0x48,0x18,0xd3,0xdd,0x4c,0x0c,0xb5,0x11,0x4b,0x2a,0x37,0xaf,0x91,0xb2,0xc3,0x24,0xf2,0x47,0x81,0x71,0x70,0x82,0xda,0x93,0xf2,0x9e,0x89,0x86,0x64,0x85,0x84,0xdd,0x33,0xee,0xe0,0x23,0x42,0x31,0x96,0x4a,0xd6,0xff,0xa4,0x08,0x44,0x27,0xe8,0xa6,0xd9,0x76,0x15,0x9c,0x7e,0x17,0x8e,0x73,0xf2,0xb3,0x02,0x3d,0xb6,0x48,0x33,0x77,0x51,0xcc,0x6b,0xce,0x4d,0xce,0x4b,0x4f},
{0x84,0x25,0x24,0xe2,0x5a,0xce,0x1f,0xa7,0x9e,0x8a,0xf5,0x92,0x56,0x72,0xea,0x26,0xf4,0x3c,0xea,0x1c,0xd7,0x09,0x1a,0xd2,0xe6,0x01,0x1c,0xb7,0x14,0xdd,0xfc,0x73,0x6f,0x0b,0x9d,0xc4,0x6e,0x61,0xe2,0x30,0x17,0x23,0xec,0xca,0x8f,0x71,0x56,0xe4,0xa6,0x4f,0x6b,0xf2,0x9b,0x40,0xeb,0x48,0x37,0x5f,0x59,0x61,0xe5,0xce,0x42,0x30,0x41,0xac,0x9b,0x44,0x79,0x70,0x7e,0x42,0x0a,0x31,0xe2,0xbc,0x6d,0xe3,0x5a,0x85,0x7c,0x1a,0x84,0x5f,0x21,0x76,0xae,0x4c,0xd6,0xe1,0x9c,0x9a,0x0c,0x74,0x9e,0x38},
{0xce,0xb9,0xdc,0x34,0xae,0xb3,0xfc,0x64,0xad,0xd0,0x48,0xe3,0x23,0x03,0x50,0x97,0x1b,0x38,0xc6,0x62,0x7d,0xf0,0xb3,0x45,0x88,0x67,0x5a,0x46,0x79,0x53,0x54,0x61,0x28,0xac,0x0e,0x57,0xf6,0x78,0xbd,0xc9,0xe1,0x9c,0x91,0x27,0x32,0x0b,0x5b,0xe5,0xed,0x91,0x9b,0xa1,0xab,0x3e,0xfc,0x65,0x90,0x36,0x26,0xd6,0xe5,0x25,0xc4,0x25,0x6e,0xde,0xd7,0xf1,0xa6,0x06,0x3e,0x3f,0x08,0x23,0x06,0x8e,0x27,0x76,0xf9,0x3e,0x77,0x6c,0x8a,0x4e,0x26,0xf6,0x14,0x8c,0x59,0x47,0x48,0x15,0x89,0xa0,0x39,0x65},
{0x73,0xf7,0xd2,0xc3,0x74,0x1f,0xd2,0xe9,0x45,0x68,0xc4,0x25,0x41,0x54,0x50,0xc1,0x33,0x9e,0xb9,0xf9,0xe8,0x5c,0x4e,0x62,0x6c,0x18,0xcd,0xc5,0xaa,0xe4,0xc5,0x11,0x19,0x4a,0xbb,0x14,0xd4,0xdb,0xc4,0xdd,0x8e,0x4f,0x42,0x98,0x3c,0xbc,0xb2,0x19,0x69,0x71,0xca,0x36,0xd7,0x9f,0xa8,0x48,0x90,0xbd,0x19,0xf0,0x0e,0x32,0x65,0x0f,0xc6,0xe0,0xfd,0xca,0xb1,0xd1,0x86,0xd4,0x81,0x51,0x3b,0x16,0xe3,0xe6,0x3f,0x4f,0x9a,0x93,0xf2,0xfa,0x0d,0xaf,0xa8,0x59,0x2a,0x07,0x33,0xec,0xbd,0xc7,0xab,0x4c},
{0x2e,0x0a,0x9c,0x08,0x24,0x96,0x9e,0x23,0x38,0x47,0xfe,0x3a,0xc0,0xc4,0x48,0xc7,0x2a,0xa1,0x4f,0x76,0x2a,0xed,0xdb,0x17,0x82,0x85,0x1c,0x32,0xf0,0x93,0x9b,0x63,0x89,0xd2,0x78,0x3f,0x8f,0x78,0x8f,0xc0,0x9f,0x4d,0x40,0xa1,0x2c,0xa7,0x30,0xfe,0x9d,0xcc,0x65,0xcf,0xfc,0x8b,0x77,0xf2,0x21,0x20,0xcb,0x5a,0x16,0x98,0xe4,0x7e,0xc3,0xa1,0x11,0x91,0xe3,0x08,0xd5,0x7b,0x89,0x74,0x90,0x80,0xd4,0x90,0x2b,0x2b,0x19,0xfd,0x72,0xae,0xc2,0xae,0xd2,0xe7,0xa6,0x02,0xb6,0x85,0x3c,0x49,0xdf,0x0e},
{0x68,0x5a,0x9b,0x59,0x58,0x81,0xcc,0xae,0x0e,0xe2,0xad,0xeb,0x0f,0x4f,0x57,0xea,0x07,0x7f,0xb6,0x22,0x74,0x1d,0xe4,0x4f,0xb4,0x4f,0x9d,0x01,0xe3,0x92,0x3b,0x40,0x13,0x41,0x76,0x84,0xd2,0xc4,0x67,0x67,0x35,0xf8,0xf5,0xf7,0x3f,0x40,0x90,0xa0,0xde,0xbe,0xe6,0xca,0xfa,0xcf,0x8f,0x1c,0x69,0xa3,0xdf,0xd1,0x54,0x0c,0xc0,0x04,0xf8,0x5c,0x46,0x8b,0x81,0x2f,0xc2,0x4d,0xf8,0xef,0x80,0x14,0x5a,0xf3,0xa0,0x71,0x57,0xd6,0xc7,0x04,0xad,0xbf,0xe8,0xae,0xf4,0x76,0x61,0xb2,0x2a,0xb1,0x5b,0x35},
{0xf4,0xbb,0x93,0x74,0xcc,0x64,0x1e,0xa7,0xc3,0xb0,0xa3,0xec,0xd9,0x84,0xbd,0xe5,0x85,0xe7,0x05,0xfa,0x0c,0xc5,0x6b,0x0a,0x12,0xc3,0x2e,0x18,0x32,0x81,0x9b,0x0f,0x18,0x73,0x8c,0x5a,0xc7,0xda,0x01,0xa3,0x11,0xaa,0xce,0xb3,0x9d,0x03,0x90,0xed,0x2d,0x3f,0xae,0x3b,0xbf,0x7c,0x07,0x6f,0x8e,0xad,0x52,0xe0,0xf8,0xea,0x18,0x75,0x32,0x6c,0x7f,0x1b,0xc4,0x59,0x88,0xa4,0x98,0x32,0x38,0xf4,0xbc,0x60,0x2d,0x0f,0xd9,0xd1,0xb1,0xc9,0x29,0xa9,0x15,0x18,0xc4,0x55,0x17,0xbb,0x1b,0x87,0xc3,0x47},
{0x48,0x4f,0xec,0x71,0x97,0x53,0x44,0x51,0x6e,0x5d,0x8c,0xc9,0x7d,0xb1,0x05,0xf8,0x6b,0xc6,0xc3,0x47,0x1a,0xc1,0x62,0xf7,0xdc,0x99,0x46,0x76,0x85,0x9b,0xb8,0x00,0xb0,0x66,0x50,0xc8,0x50,0x5d,0xe6,0xfb,0xb0,0x99,0xa2,0xb3,0xb0,0xc4,0xec,0x62,0xe0,0xe8,0x1a,0x44,0xea,0x54,0x37,0xe5,0x5f,0x8d,0xd4,0xe8,0x2c,0xa0,0xfe,0x08,0xd0,0xea,0xde,0x68,0x76,0xdd,0x4d,0x82,0x23,0x5d,0x68,0x4b,0x20,0x45,0x64,0xc8,0x65,0xd6,0x89,0x5d,0xcd,0xcf,0x14,0xb5,0x37,0xd5,0x75,0x4f,0xa7,0x29,0x38,0x47},
{0x18,0xc4,0x79,0x46,0x75,0xda,0xd2,0x82,0xf0,0x8d,0x61,0xb2,0xd8,0xd7,0x3b,0xe6,0x0a,0xeb,0x47,0xac,0x24,0xef,0x5e,0x35,0xb4,0xc6,0x33,0x48,0x4c,0x68,0x78,0x20,0xc9,0x02,0x39,0xad,0x3a,0x53,0xd9,0x23,0x8f,0x58,0x03,0xef,0xce,0xdd,0xc2,0x64,0xb4,0x2f,0xe1,0xcf,0x90,0x73,0x25,0x15,0x90,0xd3,0xe4,0x44,0x4d,0x8b,0x66,0x6c,0x0c,0x82,0x78,0x7a,0x21,0xcf,0x48,0x3b,0x97,0x3e,0x27,0x81,0xb2,0x0a,0x6a,0xf7,0x7b,0xed,0x8e,0x8c,0xa7,0x65,0x6c,0xa9,0x3f,0x43,0x8a,0x4f,0x05,0xa6,0x11,0x74},
{0x6d,0xc8,0x9d,0xb9,0x32,0x9d,0x65,0x4d,0x15,0xf1,0x3a,0x60,0x75,0xdc,0x4c,0x04,0x88,0xe4,0xc2,0xdc,0x2c,0x71,0x4c,0xb3,0xff,0x34,0x81,0xfb,0x74,0x65,0x13,0x7c,0xb4,0x75,0xb1,0x18,0x3d,0xe5,0x9a,0x57,0x02,0xa1,0x92,0xf3,0x59,0x31,0x71,0x68,0xf5,0x35,0xef,0x1e,0xba,0xec,0x55,0x84,0x8f,0x39,0x8c,0x45,0x72,0xa8,0xc9,0x1e,0x9b,0x50,0xa2,0x00,0xd4,0xa4,0xe6,0xb8,0xb4,0x82,0xc8,0x0b,0x02,0xd7,0x81,0x9b,0x61,0x75,0x95,0xf1,0x9b,0xcc,0xe7,0x57,0x60,0x64,0xcd,0xc7,0xa5,0x88,0xdd,0x3a},
{0xf2,0xdc,0x35,0xb6,0x70,0x57,0x89,0xab,0xbc,0x1f,0x6c,0xf6,0x6c,0xef,0xdf,0x02,0x87,0xd1,0xb6,0xbe,0x68,0x02,0x53,0x85,0x74,0x9e,0x87,0xcc,0xfc,0x29,0x99,0x24,0x46,0x30,0x39,0x59,0xd4,0x98,0xc2,0x85,0xec,0x59,0xf6,0x5f,0x98,0x35,0x7e,0x8f,0x3a,0x6e,0xf6,0xf2,0x2a,0xa2,0x2c,0x1d,0x20,0xa7,0x06,0xa4,0x31,0x11,0xba,0x61,0x29,0x90,0x95,0x16,0xf1,0xa0,0xd0,0xa3,0x89,0xbd,0x7e,0xba,0x6c,0x6b,0x3b,0x02,0x07,0x33,0x78,0x26,0x3e,0x5a,0xf1,0x7b,0xe7,0xec,0xd8,0xbb,0x0c,0x31,0x20,0x56},
{0x43,0xd6,0x34,0x49,0x43,0x93,0x89,0x52,0xf5,0x22,0x12,0xa5,0x06,0xf8,0xdb,0xb9,0x22,0x1c,0xf4,0xc3,0x8f,0x87,0x6d,0x8f,0x30,0x97,0x9d,0x4d,0x2a,0x6a,0x67,0x37,0xd6,0x85,0xe2,0x77,0xf4,0xb5,0x46,0x66,0x93,0x61,0x8f,0x6c,0x67,0xff,0xe8,0x40,0xdd,0x94,0xb5,0xab,0x11,0x73,0xec,0xa6,0x4d,0xec,0x8c,0x65,0xf3,0x46,0xc8,0x7e,0xc7,0x2e,0xa2,0x1d,0x3f,0x8f,0x5e,0x9b,0x13,0xcd,0x01,0x6c,0x77,0x1d,0x0f,0x13,0xb8,0x9f,0x98,0xa2,0xcf,0x8f,0x4c,0x21,0xd5,0x9d,0x9b,0x39,0x23,0xf7,0xaa,0x6d},
{0x47,0xbe,0x3d,0xeb,0x62,0x75,0x3a,0x5f,0xb8,0xa0,0xbd,0x8e,0x54,0x38,0xea,0xf7,0x99,0x72,0x74,0x45,0x31,0xe5,0xc3,0x00,0x51,0xd5,0x27,0x16,0xe7,0xe9,0x04,0x13,0xa2,0x8e,0xad,0xac,0xbf,0x04,0x3b,0x58,0x84,0xe8,0x8b,0x14,0xe8,0x43,0xb7,0x29,0xdb,0xc5,0x10,0x08,0x3b,0x58,0x1e,0x2b,0xaa,0xbb,0xb3,0x8e,0xe5,0x49,0x54,0x2b,0xfe,0x9c,0xdc,0x6a,0xd2,0x14,0x98,0x78,0x0b,0xdd,0x48,0x8b,0x3f,0xab,0x1b,0x3c,0x0a,0xc6,0x79,0xf9,0xff,0xe1,0x0f,0xda,0x93,0xd6,0x2d,0x7c,0x2d,0xde,0x68,0x44},
{0x9e,0x46,0x19,0x94,0x5e,0x35,0xbb,0x51,0x54,0xc7,0xdd,0x23,0x4c,0xdc,0xe6,0x33,0x62,0x99,0x7f,0x44,0xd6,0xb6,0xa5,0x93,0x63,0xbd,0x44,0xfb,0x6f,0x7c,0xce,0x6c,0xce,0x07,0x63,0xf8,0xc6,0xd8,0x9a,0x4b,0x28,0x0c,0x5d,0x43,0x31,0x35,0x11,0x21,0x2c,0x77,0x7a,0x65,0xc5,0x66,0xa8,0xd4,0x52,0x73,0x24,0x63,0x7e,0x42,0xa6,0x5d,0xca,0x22,0xac,0xde,0x88,0xc6,0x94,0x1a,0xf8,0x1f,0xae,0xbb,0xf7,0x6e,0x06,0xb9,0x0f,0x58,0x59,0x8d,0x38,0x8c,0xad,0x88,0xa8,0x2c,0x9f,0xe7,0xbf,0x9a,0xf2,0x58},
{0x68,0x3e,0xe7,0x8d,0xab,0xcf,0x0e,0xe9,0xa5,0x76,0x7e,0x37,0x9f,0x6f,0x03,0x54,0x82,0x59,0x01,0xbe,0x0b,0x5b,0x49,0xf0,0x36,0x1e,0xf4,0xa7,0xc4,0x29,0x76,0x57,0xf6,0xcd,0x0e,0x71,0xbf,0x64,0x5a,0x4b,0x3c,0x29,0x2c,0x46,0x38,0xe5,0x4c,0xb1,0xb9,0x3a,0x0b,0xd5,0x56,0xd0,0x43,0x36,0x70,0x48,0x5b,0x18,0x24,0x37,0xf9,0x6a,0x88,0xa8,0xc6,0x09,0x45,0x02,0x20,0x32,0x73,0x89,0x55,0x4b,0x13,0x36,0xe0,0xd2,0x9f,0x28,0x33,0x3c,0x23,0x36,0xe2,0x83,0x8f,0xc1,0xae,0x0c,0xbb,0x25,0x1f,0x70},
{0xed,0x6c,0x61,0xe4,0xf8,0xb0,0xa8,0xc3,0x7d,0xa8,0x25,0x9e,0x0e,0x66,0x00,0xf7,0x9c,0xa5,0xbc,0xf4,0x1f,0x06,0xe3,0x61,0xe9,0x0b,0xc4,0xbd,0xbf,0x92,0x0c,0x2e,0x13,0xc1,0xbe,0x7c,0xd9,0xf6,0x18,0x9d,0xe4,0xdb,0xbf,0x74,0xe6,0x06,0x4a,0x84,0xd6,0x60,0x4e,0xac,0x22,0xb5,0xf5,0x20,0x51,0x5e,0x95,0x50,0xc0,0x5b,0x0a,0x72,0x35,0x5a,0x80,0x9b,0x43,0x09,0x3f,0x0c,0xfc,0xab,0x42,0x62,0x37,0x8b,0x4e,0xe8,0x46,0x93,0x22,0x5c,0xf3,0x17,0x14,0x69,0xec,0xf0,0x4e,0x14,0xbb,0x9c,0x9b,0x0e},
{0xad,0x20,0x57,0xfb,0x8f,0xd4,0xba,0xfb,0x0e,0x0d,0xf9,0xdb,0x6b,0x91,0x81,0xee,0xbf,0x43,0x55,0x63,0x52,0x31,0x81,0xd4,0xd8,0x7b,0x33,0x3f,0xeb,0x04,0x11,0x22,0xee,0xbe,0xb1,0x5d,0xd5,0x9b,0xee,0x8d,0xb9,0x3f,0x72,0x0a,0x37,0xab,0xc3,0xc9,0x91,0xd7,0x68,0x1c,0xbf,0xf1,0xa8,0x44,0xde,0x3c,0xfd,0x1c,0x19,0x44,0x6d,0x36,0x14,0x8c,0xbc,0xf2,0x43,0x17,0x3c,0x9e,0x3b,0x6c,0x85,0xb5,0xfc,0x26,0xda,0x2e,0x97,0xfb,0xa7,0x68,0x0e,0x2f,0xb8,0xcc,0x44,0x32,0x59,0xbc,0xe6,0xa4,0x67,0x41},
{0x00,0x27,0xf6,0x76,0x28,0x9d,0x3b,0x64,0xeb,0x68,0x76,0x0e,0x40,0x9d,0x1d,0x5d,0x84,0x06,0xfc,0x21,0x03,0x43,0x4b,0x1b,0x6a,0x24,0x55,0x22,0x7e,0xbb,0x38,0x79,0xee,0x8f,0xce,0xf8,0x65,0x26,0xbe,0xc2,0x2c,0xd6,0x80,0xe8,0x14,0xff,0x67,0xe9,0xee,0x4e,0x36,0x2f,0x7e,0x6e,0x2e,0xf1,0xf6,0xd2,0x7e,0xcb,0x70,0x33,0xb3,0x34,0xcc,0xd6,0x81,0x86,0xee,0x91,0xc5,0xcd,0x53,0xa7,0x85,0xed,0x9c,0x10,0x02,0xce,0x83,0x88,0x80,0x58,0xc1,0x85,0x74,0xed,0xe4,0x65,0xfe,0x2d,0x6e,0xfc,0x76,0x11},
{0x9b,0x61,0x9c,0x5b,0xd0,0x6c,0xaf,0xb4,0x80,0x84,0xa5,0xb2,0xf4,0xc9,0xdf,0x2d,0xc4,0x4d,0xe9,0xeb,0x02,0xa5,0x4f,0x3d,0x34,0x5f,0x7d,0x67,0x4c,0x3a,0xfc,0x08,0xb8,0x0e,0x77,0x49,0x89,0xe2,0x90,0xdb,0xa3,0x40,0xf4,0xac,0x2a,0xcc,0xfb,0x98,0x9b,0x87,0xd7,0xde,0xfe,0x4f,0x35,0x21,0xb6,0x06,0x69,0xf2,0x54,0x3e,0x6a,0x1f,0xea,0x34,0x07,0xd3,0x99,0xc1,0xa4,0x60,0xd6,0x5c,0x16,0x31,0xb6,0x85,0xc0,0x40,0x95,0x82,0x59,0xf7,0x23,0x3e,0x33,0xe2,0xd1,0x00,0xb9,0x16,0x01,0xad,0x2f,0x4f},
{0x54,0x4e,0xae,0x94,0x41,0xb2,0xbe,0x44,0x6c,0xef,0x57,0x18,0x51,0x1c,0x54,0x5f,0x98,0x04,0x8d,0x36,0x2d,0x6b,0x1e,0xa6,0xab,0xf7,0x2e,0x97,0xa4,0x84,0x54,0x44,0x38,0xb6,0x3b,0xb7,0x1d,0xd9,0x2c,0x96,0x08,0x9c,0x12,0xfc,0xaa,0x77,0x05,0xe6,0x89,0x16,0xb6,0xf3,0x39,0x9b,0x61,0x6f,0x81,0xee,0x44,0x29,0x5f,0x99,0x51,0x34,0x7c,0x7d,0xea,0x9f,0xd0,0xfc,0x52,0x91,0xf6,0x5c,0x93,0xb0,0x94,0x6c,0x81,0x4a,0x40,0x5c,0x28,0x47,0xaa,0x9a,0x8e,0x25,0xb7,0x93,0x28,0x04,0xa6,0x9c,0xb8,0x10},
{0x9c,0x28,0x18,0x97,0x49,0x47,0x59,0x3d,0x26,0x3f,0x53,0x24,0xc5,0xf8,0xeb,0x12,0x15,0xef,0xc3,0x14,0xcb,0xbf,0x62,0x02,0x8e,0x51,0xb7,0x77,0xd5,0x78,0xb8,0x20,0x6e,0xf0,0x45,0x5a,0xbe,0x41,0x39,0x75,0x65,0x5f,0x9c,0x6d,0xed,0xae,0x7c,0xd0,0xb6,0x51,0xff,0x72,0x9c,0x6b,0x77,0x11,0xa9,0x4d,0x0d,0xef,0xd9,0xd1,0xd2,0x17,0x6a,0x3e,0x3f,0x07,0x18,0xaf,0xf2,0x27,0x69,0x10,0x52,0xd7,0x19,0xe5,0x3f,0xfd,0x22,0x00,0xa6,0x3c,0x2c,0xb7,0xe3,0x22,0xa7,0xc6,0x65,0xcc,0x63,0x4f,0x21,0x72},
{0x93,0xa6,0x07,0x53,0x40,0x7f,0xe3,0xb4,0x95,0x67,0x33,0x2f,0xd7,0x14,0xa7,0xab,0x99,0x10,0x76,0x73,0xa7,0xd0,0xfb,0xd6,0xc9,0xcb,0x71,0x81,0xc5,0x48,0xdf,0x5f,0xc9,0x29,0x3b,0xf4,0xb9,0xb7,0x9d,0x1d,0x75,0x8f,0x51,0x4f,0x4a,0x82,0x05,0xd6,0xc4,0x9d,0x2f,0x31,0xbd,0x72,0xc0,0xf2,0xb0,0x45,0x15,0x5a,0x85,0xac,0x24,0x1f,0xaa,0x05,0x95,0x8e,0x32,0x08,0xd6,0x24,0xee,0x20,0x14,0x0c,0xd1,0xc1,0x48,0x47,0xa2,0x25,0xfb,0x06,0x5c,0xe4,0xff,0xc7,0xe6,0x95,0xe3,0x2a,0x9e,0x73,0xba,0x00},
{0xd6,0x90,0x87,0x5c,0xde,0x98,0x2e,0x59,0xdf,0xa2,0xc2,0x45,0xd3,0xb7,0xbf,0xe5,0x22,0x99,0xb4,0xf9,0x60,0x3b,0x5a,0x11,0xf3,0x78,0xad,0x67,0x3e,0x3a,0x28,0x03,0x26,0xbb,0x88,0xea,0xf5,0x26,0x44,0xae,0xfb,0x3b,0x97,0x84,0xd9,0x79,0x06,0x36,0x50,0x4e,0x69,0x26,0x0c,0x03,0x9f,0x5c,0x26,0xd2,0x18,0xd5,0xe7,0x7d,0x29,0x72,0x39,0xb9,0x0c,0xbe,0xc7,0x1d,0x24,0x48,0x80,0x30,0x63,0x8b,0x4d,0x9b,0xf1,0x32,0x08,0x93,0x28,0x02,0x0d,0xc9,0xdf,0xd3,0x45,0x19,0x27,0x46,0x68,0x29,0xe1,0x05},
{0x5a,0x49,0x9c,0x2d,0xb3,0xee,0x82,0xba,0x7c,0xb9,0x2b,0xf1,0xfc,0xc8,0xef,0xce,0xe0,0xd1,0xb5,0x93,0xae,0xab,0x2d,0xb0,0x9b,0x8d,0x69,0x13,0x9c,0x0c,0xc0,0x39,0x50,0x45,0x2c,0x24,0xc8,0xbb,0xbf,0xad,0xd9,0x81,0x30,0xd0,0xec,0x0c,0xc8,0xbc,0x92,0xdf,0xc8,0xf5,0xa6,0x66,0x35,0x84,0x4c,0xce,0x58,0x82,0xd3,0x25,0xcf,0x78,0x68,0x9d,0x48,0x31,0x8e,0x6b,0xae,0x15,0x87,0xf0,0x2b,0x9c,0xab,0x1c,0x85,0xaa,0x05,0xfa,0x4e,0xf0,0x97,0x5a,0xa7,0xc9,0x32,0xf8,0x3f,0x6b,0x07,0x52,0x6b,0x00},
{0x1c,0x78,0x95,0x9d,0xe1,0xcf,0xe0,0x29,0xe2,0x10,0x63,0x96,0x18,0xdf,0x81,0xb6,0x39,0x6b,0x51,0x70,0xd3,0x39,0xdf,0x57,0x22,0x61,0xc7,0x3b,0x44,0xe3,0x57,0x4d,0x2d,0x08,0xce,0xb9,0x16,0x7e,0xcb,0xf5,0x29,0xbc,0x7a,0x41,0x4c,0xf1,0x07,0x34,0xab,0xa7,0xf4,0x2b,0xce,0x6b,0xb3,0xd4,0xce,0x75,0x9f,0x1a,0x56,0xe9,0xe2,0x7d,0xcb,0x5e,0xa5,0xb6,0xf4,0xd4,0x70,0xde,0x99,0xdb,0x85,0x5d,0x7f,0x52,0x01,0x48,0x81,0x9a,0xee,0xd3,0x40,0xc4,0xc9,0xdb,0xed,0x29,0x60,0x1a,0xaf,0x90,0x2a,0x6b},
{0x97,0x1e,0xe6,0x9a,0xfc,0xf4,0x23,0x69,0xd1,0x5f,0x3f,0xe0,0x1d,0x28,0x35,0x57,0x2d,0xd1,0xed,0xe6,0x43,0xae,0x64,0xa7,0x4a,0x3e,0x2d,0xd1,0xe9,0xf4,0xd8,0x5f,0x0a,0xd8,0xb2,0x5b,0x24,0xf3,0xeb,0x77,0x9b,0x07,0xb9,0x2f,0x47,0x1b,0x30,0xd8,0x33,0x73,0xee,0x4c,0xf2,0xe6,0x47,0xc6,0x09,0x21,0x6c,0x27,0xc8,0x12,0x58,0x46,0xd9,0x62,0x10,0x2a,0xb2,0xbe,0x43,0x4d,0x16,0xdc,0x31,0x38,0x75,0xfb,0x65,0x70,0xd7,0x68,0x29,0xde,0x7b,0x4a,0x0d,0x18,0x90,0x67,0xb1,0x1c,0x2b,0x2c,0xb3,0x05},
{0xfd,0xa8,0x4d,0xd2,0xcc,0x5e,0xc0,0xc8,0x83,0xef,0xdf,0x05,0xac,0x1a,0xcf,0xa1,0x61,0xcd,0xf9,0x7d,0xf2,0xef,0xbe,0xdb,0x99,0x1e,0x47,0x7b,0xa3,0x56,0x55,0x3b,0x95,0x81,0xd5,0x7a,0x2c,0xa4,0xfc,0xf7,0xcc,0xf3,0x33,0x43,0x6e,0x28,0x14,0x32,0x9d,0x97,0x0b,0x34,0x0d,0x9d,0xc2,0xb6,0xe1,0x07,0x73,0x56,0x48,0x1a,0x77,0x31,0x82,0xd4,0x4d,0xe1,0x24,0xc5,0xb0,0x32,0xb6,0xa4,0x2b,0x1a,0x54,0x51,0xb3,0xed,0xf3,0x5a,0x2b,0x28,0x48,0x60,0xd1,0xa3,0xeb,0x36,0x73,0x7a,0xd2,0x79,0xc0,0x4f},
{0x7f,0x2f,0xbf,0x89,0xb0,0x38,0xc9,0x51,0xa7,0xe9,0xdf,0x02,0x65,0xbd,0x97,0x24,0x53,0xe4,0x80,0x78,0x9c,0xc0,0xff,0xff,0x92,0x8e,0xf9,0xca,0xce,0x67,0x45,0x12,0x0d,0xc5,0x86,0x0c,0x44,0x8b,0x34,0xdc,0x51,0xe6,0x94,0xcc,0xc9,0xcb,0x37,0x13,0xb9,0x3c,0x3e,0x64,0x4d,0xf7,0x22,0x64,0x08,0xcd,0xe3,0xba,0xc2,0x70,0x11,0x24,0xb4,0x73,0xc4,0x0a,0x86,0xab,0xf9,0x3f,0x35,0xe4,0x13,0x01,0xee,0x1d,0x91,0xf0,0xaf,0xc4,0xc6,0xeb,0x60,0x50,0xe7,0x4a,0x0d,0x00,0x87,0x6c,0x96,0x12,0x86,0x3f},
{0xde,0x0d,0x2a,0x78,0xc9,0x0c,0x9a,0x55,0x85,0x83,0x71,0xea,0xb2,0xcd,0x1d,0x55,0x8c,0x23,0xef,0x31,0x5b,0x86,0x62,0x7f,0x3d,0x61,0x73,0x79,0x76,0xa7,0x4a,0x50,0x13,0x8d,0x04,0x36,0xfa,0xfc,0x18,0x9c,0xdd,0x9d,0x89,0x73,0xb3,0x9d,0x15,0x29,0xaa,0xd0,0x92,0x9f,0x0b,0x35,0x9f,0xdc,0xd4,0x19,0x8a,0x87,0xee,0x7e,0xf5,0x26,0xb1,0xef,0x87,0x56,0xd5,0x2c,0xab,0x0c,0x7b,0xf1,0x7a,0x24,0x62,0xd1,0x80,0x51,0x67,0x24,0x5a,0x4f,0x34,0x5a,0xc1,0x85,0x69,0x30,0xba,0x9d,0x3d,0x94,0x41,0x40},
{0x96,0xcc,0xeb,0x43,0xba,0xee,0xc0,0xc3,0xaf,0x9c,0xea,0x26,0x9c,0x9c,0x74,0x8d,0xc6,0xcc,0x77,0x1c,0xee,0x95,0xfa,0xd9,0x0f,0x34,0x84,0x76,0xd9,0xa1,0x20,0x14,0xdd,0xaa,0x6c,0xa2,0x43,0x77,0x21,0x4b,0xce,0xb7,0x8a,0x64,0x24,0xb4,0xa6,0x47,0xe3,0xc9,0xfb,0x03,0x7a,0x4f,0x1d,0xcb,0x19,0xd0,0x00,0x98,0x42,0x31,0xd9,0x12,0x4f,0x59,0x37,0xd3,0x99,0x77,0xc6,0x00,0x7b,0xa4,0x3a,0xb2,0x40,0x51,0x3c,0x5e,0x95,0xf3,0x5f,0xe3,0x54,0x28,0x18,0x44,0x12,0xa0,0x59,0x43,0x31,0x92,0x4f,0x1b},
{0x51,0x09,0x15,0x89,0x9d,0x10,0x5c,0x3e,0x6a,0x69,0xe9,0x2d,0x91,0xfa,0xce,0x39,0x20,0x30,0x5f,0x97,0x3f,0xe4,0xea,0x20,0xae,0x2d,0x13,0x7f,0x2a,0x57,0x9b,0x23,0xb1,0x66,0x98,0xa4,0x30,0x30,0xcf,0x33,0x59,0x48,0x5f,0x21,0xd2,0x73,0x1f,0x25,0xf6,0xf4,0xde,0x51,0x40,0xaa,0x82,0xab,0xf6,0x23,0x9a,0x6f,0xd5,0x91,0xf1,0x5f,0x68,0x90,0x2d,0xac,0x33,0xd4,0x9e,0x81,0x23,0x85,0xc9,0x5f,0x79,0xab,0x83,0x28,0x3d,0xeb,0x93,0x55,0x80,0x72,0x45,0xef,0xcb,0x36,0x8f,0x75,0x6a,0x52,0x0c,0x02},
{0xbc,0xdb,0xd8,0x9e,0xf8,0x34,0x98,0x77,0x6c,0xa4,0x7c,0xdc,0xf9,0xaa,0xf2,0xc8,0x74,0xb0,0xe1,0xa3,0xdc,0x4c,0x52,0xa9,0x77,0x38,0x31,0x15,0x46,0xcc,0xaa,0x02,0x89,0xcc,0x42,0xf0,0x59,0xef,0x31,0xe9,0xb6,0x4b,0x12,0x8e,0x9d,0x9c,0x58,0x2c,0x97,0x59,0xc7,0xae,0x8a,0xe1,0xc8,0xad,0x0c,0xc5,0x02,0x56,0x0a,0xfe,0x2c,0x45,0xdf,0x77,0x78,0x64,0xa0,0xf7,0xa0,0x86,0x9f,0x7c,0x60,0x0e,0x27,0x64,0xc4,0xbb,0xc9,0x11,0xfb,0xf1,0x25,0xea,0x17,0xab,0x7b,0x87,0x4b,0x30,0x7b,0x7d,0xfb,0x4c},
{0xfe,0x75,0x9b,0xb8,0x6c,0x3d,0xb4,0x72,0x80,0xdc,0x6a,0x9c,0xd9,0x94,0xc6,0x54,0x9f,0x4c,0xe3,0x3e,0x37,0xaa,0xc3,0xb8,0x64,0x53,0x07,0x39,0x2b,0x62,0xb4,0x14,0x12,0xef,0x89,0x97,0xc2,0x99,0x86,0xe2,0x0d,0x19,0x57,0xdf,0x71,0xcd,0x6e,0x2b,0xd0,0x70,0xc9,0xec,0x57,0xc8,0x43,0xc3,0xc5,0x3a,0x4d,0x43,0xbc,0x4c,0x1d,0x5b,0x26,0x9f,0x0a,0xcc,0x15,0x26,0xfb,0xb6,0xe5,0xcc,0x8d,0xb8,0x2b,0x0e,0x4f,0x3a,0x05,0xa7,0x69,0x33,0x8b,0x49,0x01,0x13,0xd1,0x2d,0x59,0x58,0x12,0xf7,0x98,0x2f},
{0x56,0x9e,0x0f,0xb5,0x4c,0xa7,0x94,0x0c,0x20,0x13,0x8e,0x8e,0xa9,0xf4,0x1f,0x5b,0x67,0x0f,0x30,0x82,0x21,0xcc,0x2a,0x9a,0xf9,0xaa,0x06,0xd8,0x49,0xe2,0x6a,0x3a,0x01,0xa7,0x54,0x4f,0x44,0xae,0x12,0x2e,0xde,0xd7,0xcb,0xa9,0xf0,0x3e,0xfe,0xfc,0xe0,0x5d,0x83,0x75,0x0d,0x89,0xbf,0xce,0x54,0x45,0x61,0xe7,0xe9,0x62,0x80,0x1d,0x5a,0x7c,0x90,0xa9,0x85,0xda,0x7a,0x65,0x62,0x0f,0xb9,0x91,0xb5,0xa8,0x0e,0x1a,0xe9,0xb4,0x34,0xdf,0xfb,0x1d,0x0e,0x8d,0xf3,0x5f,0xf2,0xae,0xe8,0x8c,0x8b,0x29},
{0xb2,0x0c,0xf7,0xef,0x53,0x79,0x92,0x2a,0x76,0x70,0x15,0x79,0x2a,0xc9,0x89,0x4b,0x6a,0xcf,0xa7,0x30,0x7a,0x45,0x18,0x94,0x85,0xe4,0x5c,0x4d,0x40,0xa8,0xb8,0x34,0xde,0x65,0x21,0x0a,0xea,0x72,0x7a,0x83,0xf6,0x79,0xcf,0x0b,0xb4,0x07,0xab,0x3f,0x70,0xae,0x38,0x77,0xc7,0x36,0x16,0x52,0xdc,0xd7,0xa7,0x03,0x18,0x27,0xa6,0x6b,0x35,0x33,0x69,0x83,0xb5,0xec,0x6e,0xc2,0xfd,0xfe,0xb5,0x63,0xdf,0x13,0xa8,0xd5,0x73,0x25,0xb2,0xa4,0x9a,0xaa,0x93,0xa2,0x6a,0x1c,0x5e,0x46,0xdd,0x2b,0xd6,0x71},
{0x80,0xdf,0x78,0xd3,0x28,0xcc,0x33,0x65,0xb4,0xa4,0x0f,0x0a,0x79,0x43,0xdb,0xf6,0x5a,0xda,0x01,0xf7,0xf9,0x5f,0x64,0xe3,0xa4,0x2b,0x17,0xf3,0x17,0xf3,0xd5,0x74,0xf5,0x5e,0xf7,0xb1,0xda,0xb5,0x2d,0xcd,0xf5,0x65,0xb0,0x16,0xcf,0x95,0x7f,0xd7,0x85,0xf0,0x49,0x3f,0xea,0x1f,0x57,0x14,0x3d,0x2b,0x2b,0x26,0x21,0x36,0x33,0x1c,0x81,0xca,0xd9,0x67,0x54,0xe5,0x6f,0xa8,0x37,0x8c,0x29,0x2b,0x75,0x7c,0x8b,0x39,0x3b,0x62,0xac,0xe3,0x92,0x08,0x6d,0xda,0x8c,0xd9,0xe9,0x47,0x45,0xcc,0xeb,0x4a},
{0xc9,0x01,0x6d,0x27,0x1b,0x07,0xf0,0x12,0x70,0x8c,0xc4,0x86,0xc5,0xba,0xb8,0xe7,0xa9,0xfb,0xd6,0x71,0x9b,0x12,0x08,0x53,0x92,0xb7,0x3d,0x5a,0xf9,0xfb,0x88,0x5d,0x10,0xb6,0x54,0x73,0x9e,0x8d,0x40,0x0b,0x6e,0x5b,0xa8,0x5b,0x53,0x32,0x6b,0x80,0x07,0xa2,0x58,0x4a,0x03,0x3a,0xe6,0xdb,0x2c,0xdf,0xa1,0xc9,0xdd,0xd9,0x3b,0x17,0xdf,0x72,0x58,0xfe,0x1e,0x0f,0x50,0x2b,0xc1,0x18,0x39,0xd4,0x2e,0x58,0xd6,0x58,0xe0,0x3a,0x67,0xc9,0x8e,0x27,0xed,0xe6,0x19,0xa3,0x9e,0xb1,0x13,0xcd,0xe1,0x06},
{0x23,0x6f,0x16,0x6f,0x51,0xad,0xd0,0x40,0xbe,0x6a,0xab,0x1f,0x93,0x32,0x8e,0x11,0x8e,0x08,0x4d,0xa0,0x14,0x5e,0xe3,0x3f,0x66,0x62,0xe1,0x26,0x35,0x60,0x80,0x30,0x53,0x03,0x5b,0x9e,0x62,0xaf,0x2b,0x47,0x47,0x04,0x8d,0x27,0x90,0x0b,0xaa,0x3b,0x27,0xbf,0x43,0x96,0x46,0x5f,0x78,0x0c,0x13,0x7b,0x83,0x8d,0x1a,0x6a,0x3a,0x7f,0x0b,0x80,0x3d,0x5d,0x39,0x44,0xe6,0xf7,0xf6,0xed,0x01,0xc9,0x55,0xd5,0xa8,0x95,0x39,0x63,0x2c,0x59,0x30,0x78,0xcd,0x68,0x7e,0x30,0x51,0x2e,0xed,0xfd,0xd0,0x30},
{0xb3,0x33,0x12,0xf2,0x1a,0x4d,0x59,0xe0,0x9c,0x4d,0xcc,0xf0,0x8e,0xe7,0xdb,0x1b,0x77,0x9a,0x49,0x8f,0x7f,0x18,0x65,0x69,0x68,0x98,0x09,0x2c,0x20,0x14,0x92,0x0a,0x50,0x47,0xb8,0x68,0x1e,0x97,0xb4,0x9c,0xcf,0xbb,0x64,0x66,0x29,0x72,0x95,0xa0,0x2b,0x41,0xfa,0x72,0x26,0xe7,0x8d,0x5c,0xd9,0x89,0xc5,0x51,0x43,0x08,0x15,0x46,0x2e,0xa0,0xb9,0xae,0xc0,0x19,0x90,0xbc,0xae,0x4c,0x03,0x16,0x0d,0x11,0xc7,0x55,0xec,0x32,0x99,0x65,0x01,0xf5,0x6d,0x0e,0xfe,0x5d,0xca,0x95,0x28,0x0d,0xca,0x3b},
{0xa4,0x62,0x5d,0x3c,0xbc,0x31,0xf0,0x40,0x60,0x7a,0xf0,0xcf,0x3e,0x8b,0xfc,0x19,0x45,0xb5,0x0f,0x13,0xa2,0x3d,0x18,0x98,0xcd,0x13,0x8f,0xae,0xdd,0xde,0x31,0x56,0xbf,0x01,0xcc,0x9e,0xb6,0x8e,0x68,0x9c,0x6f,0x89,0x44,0xa6,0xad,0x83,0xbc,0xf0,0xe2,0x9f,0x7a,0x5f,0x5f,0x95,0x2d,0xca,0x41,0x82,0xf2,0x8d,0x03,0xb4,0xa8,0x4e,0x02,0xd2,0xca,0xf1,0x0a,0x46,0xed,0x2a,0x83,0xee,0x8c,0xa4,0x05,0x53,0x30,0x46,0x5f,0x1a,0xf1,0x49,0x45,0x77,0x21,0x91,0x63,0xa4,0x2c,0x54,0x30,0x09,0xce,0x24},
{0x06,0xc1,0x06,0xfd,0xf5,0x90,0xe8,0x1f,0xf2,0x10,0x88,0x5d,0x35,0x68,0xc4,0xb5,0x3e,0xaf,0x8c,0x6e,0xfe,0x08,0x78,0x82,0x4b,0xd7,0x06,0x8a,0xc2,0xe3,0xd4,0x41,0x85,0x0b,0xf3,0xfd,0x55,0xa1,0xcf,0x3f,0xa4,0x2e,0x37,0x36,0x8e,0x16,0xf7,0xd2,0x44,0xf8,0x92,0x64,0xde,0x64,0xe0,0xb2,0x80,0x42,0x4f,0x32,0xa7,0x28,0x99,0x54,0x2e,0x1a,0xee,0x63,0xa7,0x32,0x6e,0xf2,0xea,0xfd,0x5f,0xd2,0xb7,0xe4,0x91,0xae,0x69,0x4d,0x7f,0xd1,0x3b,0xd3,0x3b,0xbc,0x6a,0xff,0xdc,0xc0,0xde,0x66,0x1b,0x49},
{0xa7,0x32,0xea,0xc7,0x3d,0xb1,0xf5,0x98,0x98,0xdb,0x16,0x7e,0xcc,0xf8,0xd5,0xe3,0x47,0xd9,0xf8,0xcb,0x52,0xbf,0x0a,0xac,0xac,0xe4,0x5e,0xc8,0xd0,0x38,0xf3,0x08,0xa1,0x64,0xda,0xd0,0x8e,0x4a,0xf0,0x75,0x4b,0x28,0xe2,0x67,0xaf,0x2c,0x22,0xed,0xa4,0x7b,0x7b,0x1f,0x79,0xa3,0x34,0x82,0x67,0x8b,0x01,0xb7,0xb0,0xb8,0xf6,0x4c,0xbd,0x73,0x1a,0x99,0x21,0xa8,0x83,0xc3,0x7a,0x0c,0x32,0xdf,0x01,0xbc,0x27,0xab,0x63,0x70,0x77,0x84,0x1b,0x33,0x3d,0xc1,0x99,0x8a,0x07,0xeb,0x82,0x4a,0x0d,0x53},
{0x25,0x48,0xf9,0xe1,0x30,0x36,0x4c,0x00,0x5a,0x53,0xab,0x8c,0x26,0x78,0x2d,0x7e,0x8b,0xff,0x84,0xcc,0x23,0x23,0x48,0xc7,0xb9,0x70,0x17,0x10,0x3f,0x75,0xea,0x65,0x9e,0xbf,0x9a,0x6c,0x45,0x73,0x69,0x6d,0x80,0xa8,0x00,0x49,0xfc,0xb2,0x7f,0x25,0x50,0xb8,0xcf,0xc8,0x12,0xf4,0xac,0x2b,0x5b,0xbd,0xbf,0x0c,0xe0,0xe7,0xb3,0x0d,0x63,0x63,0x09,0xe2,0x3e,0xfc,0x66,0x3d,0x6b,0xcb,0xb5,0x61,0x7f,0x2c,0xd6,0x81,0x1a,0x3b,0x44,0x13,0x42,0x04,0xbe,0x0f,0xdb,0xa1,0xe1,0x21,0x19,0xec,0xa4,0x02},
{0xa2,0xb8,0x24,0x3b,0x9a,0x25,0xe6,0x5c,0xb8,0xa0,0xaf,0x45,0xcc,0x7a,0x57,0xb8,0x37,0x70,0xa0,0x8b,0xe8,0xe6,0xcb,0xcc,0xbf,0x09,0x78,0x12,0x51,0x3c,0x14,0x3d,0x5f,0x79,0xcf,0xf1,0x62,0x61,0xc8,0xf5,0xf2,0x57,0xee,0x26,0x19,0x86,0x8c,0x11,0x78,0x35,0x06,0x1c,0x85,0x24,0x21,0x17,0xcf,0x7f,0x06,0xec,0x5d,0x2b,0xd1,0x36,0x57,0x45,0x15,0x79,0x91,0x27,0x6d,0x12,0x0a,0x3a,0x78,0xfc,0x5c,0x8f,0xe4,0xd5,0xac,0x9b,0x17,0xdf,0xe8,0xb6,0xbd,0x36,0x59,0x28,0xa8,0x5b,0x88,0x17,0xf5,0x2e},
{0xdc,0xae,0x58,0x8c,0x4e,0x97,0x37,0x46,0xa4,0x41,0xf0,0xab,0xfb,0x22,0xef,0xb9,0x8a,0x71,0x80,0xe9,0x56,0xd9,0x85,0xe1,0xa6,0xa8,0x43,0xb1,0xfa,0x78,0x1b,0x2f,0x51,0x2f,0x5b,0x30,0xfb,0xbf,0xee,0x96,0xb8,0x96,0x95,0x88,0xad,0x38,0xf9,0xd3,0x25,0xdd,0xd5,0x46,0xc7,0x2d,0xf5,0xf0,0x95,0x00,0x3a,0xbb,0x90,0x82,0x96,0x57,0x01,0xe1,0x20,0x0a,0x43,0xb8,0x1a,0xf7,0x47,0xec,0xf0,0x24,0x8d,0x65,0x93,0xf3,0xd1,0xee,0xe2,0x6e,0xa8,0x09,0x75,0xcf,0xe1,0xa3,0x2a,0xdc,0x35,0x3e,0xc4,0x7d},
{0xc3,0xd9,0x7d,0x88,0x65,0x66,0x96,0x85,0x55,0x53,0xb0,0x4b,0x31,0x9b,0x0f,0xc9,0xb1,0x79,0x20,0xef,0xf8,0x8d,0xe0,0xc6,0x2f,0xc1,0x8c,0x75,0x16,0x20,0xf7,0x7e,0x18,0x97,0x3e,0x27,0x5c,0x2a,0x78,0x5a,0x94,0xfd,0x4e,0x5e,0x99,0xc6,0x76,0x35,0x3e,0x7d,0x23,0x1f,0x05,0xd8,0x2e,0x0f,0x99,0x0a,0xd5,0x82,0x1d,0xb8,0x4f,0x04,0xd9,0xe3,0x07,0xa9,0xc5,0x18,0xdf,0xc1,0x59,0x63,0x4c,0xce,0x1d,0x37,0xb3,0x57,0x49,0xbb,0x01,0xb2,0x34,0x45,0x70,0xca,0x2e,0xdd,0x30,0x9c,0x3f,0x82,0x79,0x7f},
{0xe8,0x13,0xb5,0xa3,0x39,0xd2,0x34,0x83,0xd8,0xa8,0x1f,0xb9,0xd4,0x70,0x36,0xc1,0x33,0xbd,0x90,0xf5,0x36,0x41,0xb5,0x12,0xb4,0xd9,0x84,0xd7,0x73,0x03,0x4e,0x0a,0xba,0x87,0xf5,0x68,0xf0,0x1f,0x9c,0x6a,0xde,0xc8,0x50,0x00,0x4e,0x89,0x27,0x08,0xe7,0x5b,0xed,0x7d,0x55,0x99,0xbf,0x3c,0xf0,0xd6,0x06,0x1c,0x43,0xb0,0xa9,0x64,0x19,0x29,0x7d,0x5b,0xa1,0xd6,0xb3,0x2e,0x35,0x82,0x3a,0xd5,0xa0,0xf6,0xb4,0xb0,0x47,0x5d,0xa4,0x89,0x43,0xce,0x56,0x71,0x6c,0x34,0x18,0xce,0x0a,0x7d,0x1a,0x07},
{0x0b,0xba,0x87,0xc8,0xaa,0x2d,0x07,0xd3,0xee,0x62,0xa5,0xbf,0x05,0x29,0x26,0x01,0x8b,0x76,0xef,0xc0,0x02,0x30,0x54,0xcf,0x9c,0x7e,0xea,0x46,0x71,0xcc,0x3b,0x2c,0x31,0x44,0xe1,0x20,0x52,0x35,0x0c,0xcc,0x41,0x51,0xb1,0x09,0x07,0x95,0x65,0x0d,0x36,0x5f,0x9d,0x20,0x1b,0x62,0xf5,0x9a,0xd3,0x55,0x77,0x61,0xf7,0xbc,0x69,0x7c,0x5f,0x29,0xe8,0x04,0xeb,0xd7,0xf0,0x07,0x7d,0xf3,0x50,0x2f,0x25,0x18,0xdb,0x10,0xd7,0x98,0x17,0x17,0xa3,0xa9,0x51,0xe9,0x1d,0xa5,0xac,0x22,0x73,0x9a,0x5a,0x6f},
{0xc5,0xc6,0x41,0x2f,0x0c,0x00,0xa1,0x8b,0x9b,0xfb,0xfe,0x0c,0xc1,0x79,0x9f,0xc4,0x9f,0x1c,0xc5,0x3c,0x70,0x47,0xfa,0x4e,0xca,0xaf,0x47,0xe1,0xa2,0x21,0x4e,0x49,0xbe,0x44,0xd9,0xa3,0xeb,0xd4,0x29,0xe7,0x9e,0xaf,0x78,0x80,0x40,0x09,0x9e,0x8d,0x03,0x9c,0x86,0x47,0x7a,0x56,0x25,0x45,0x24,0x3b,0x8d,0xee,0x80,0x96,0xab,0x02,0x9a,0x0d,0xe5,0xdd,0x85,0x8a,0xa4,0xef,0x49,0xa2,0xb9,0x0f,0x4e,0x22,0x9a,0x21,0xd9,0xf6,0x1e,0xd9,0x1d,0x1f,0x09,0xfa,0x34,0xbb,0x46,0xea,0xcb,0x76,0x5d,0x6b},
{0x94,0xd9,0x0c,0xec,0x6c,0x55,0x57,0x88,0xba,0x1d,0xd0,0x5c,0x6f,0xdc,0x72,0x64,0x77,0xb4,0x42,0x8f,0x14,0x69,0x01,0xaf,0x54,0x73,0x27,0x85,0xf6,0x33,0xe3,0x0a,0x22,0x25,0x78,0x1e,0x17,0x41,0xf9,0xe0,0xd3,0x36,0x69,0x03,0x74,0xae,0xe6,0xf1,0x46,0xc7,0xfc,0xd0,0xa2,0x3e,0x8b,0x40,0x3e,0x31,0xdd,0x03,0x9c,0x86,0xfb,0x16,0x62,0x09,0xb6,0x33,0x97,0x19,0x8e,0x28,0x33,0xe1,0xab,0xd8,0xb4,0x72,0xfc,0x24,0x3e,0xd0,0x91,0x09,0xed,0xf7,0x11,0x48,0x75,0xd0,0x70,0x8f,0x8b,0xe3,0x81,0x3f},
{0xfe,0xaf,0xd9,0x7e,0xcc,0x0f,0x91,0x7f,0x4b,0x87,0x65,0x24,0xa1,0xb8,0x5c,0x54,0x04,0x47,0x0c,0x4b,0xd2,0x7e,0x39,0xa8,0x93,0x09,0xf5,0x04,0xc1,0x0f,0x51,0x50,0x24,0xc8,0x17,0x5f,0x35,0x7f,0xdb,0x0a,0xa4,0x99,0x42,0xd7,0xc3,0x23,0xb9,0x74,0xf7,0xea,0xf8,0xcb,0x8b,0x3e,0x7c,0xd5,0x3d,0xdc,0xde,0x4c,0xd3,0xe2,0xd3,0x0a,0x9d,0x24,0x6e,0x33,0xc5,0x0f,0x0c,0x6f,0xd9,0xcf,0x31,0xc3,0x19,0xde,0x5e,0x74,0x1c,0xfe,0xee,0x09,0x00,0xfd,0xd6,0xf2,0xbe,0x1e,0xfa,0xf0,0x8b,0x15,0x7c,0x12},
{0xa2,0x79,0x98,0x2e,0x42,0x7c,0x19,0xf6,0x47,0x36,0xca,0x52,0xd4,0xdd,0x4a,0xa4,0xcb,0xac,0x4e,0x4b,0xc1,0x3f,0x41,0x9b,0x68,0x4f,0xef,0x07,0x7d,0xf8,0x4e,0x35,0x74,0xb9,0x51,0xae,0xc4,0x8f,0xa2,0xde,0x96,0xfe,0x4d,0x74,0xd3,0x73,0x99,0x1d,0xa8,0x48,0x38,0x87,0x0b,0x68,0x40,0x62,0x95,0xdf,0x67,0xd1,0x79,0x24,0xd8,0x4e,0x75,0xd9,0xc5,0x60,0x22,0xb5,0xe3,0xfe,0xb8,0xb0,0x41,0xeb,0xfc,0x2e,0x35,0x50,0x3c,0x65,0xf6,0xa9,0x30,0xac,0x08,0x88,0x6d,0x23,0x39,0x05,0xd2,0x92,0x2d,0x30},
{0x3d,0x28,0xa4,0xbc,0xa2,0xc1,0x13,0x78,0xd9,0x3d,0x86,0xa1,0x91,0xf0,0x62,0xed,0x86,0xfa,0x68,0xc2,0xb8,0xbc,0xc7,0xae,0x4c,0xae,0x1c,0x6f,0xb7,0xd3,0xe5,0x10,0x77,0xf1,0xe0,0xe4,0xb6,0x6f,0xbc,0x2d,0x93,0x6a,0xbd,0xa4,0x29,0xbf,0xe1,0x04,0xe8,0xf6,0x7a,0x78,0xd4,0x66,0x19,0x5e,0x60,0xd0,0x26,0xb4,0x5e,0x5f,0xdc,0x0e,0x67,0x8e,0xda,0x53,0xd6,0xbf,0x53,0x54,0x41,0xf6,0xa9,0x24,0xec,0x1e,0xdc,0xe9,0x23,0x8a,0x57,0x03,0x3b,0x26,0x87,0xbf,0x72,0xba,0x1c,0x36,0x51,0x6c,0xb4,0x45},
{0xa1,0x7f,0x4f,0x31,0xbf,0x2a,0x40,0xa9,0x50,0xf4,0x8c,0x8e,0xdc,0xf1,0x57,0xe2,0x84,0xbe,0xa8,0x23,0x4b,0xd5,0xbb,0x1d,0x3b,0x71,0xcb,0x6d,0xa3,0xbf,0x77,0x21,0xe4,0xe3,0x7f,0x8a,0xdd,0x4d,0x9d,0xce,0x30,0x0e,0x62,0x76,0x56,0x64,0x13,0xab,0x58,0x99,0x0e,0xb3,0x7b,0x4f,0x59,0x4b,0xdf,0x29,0x12,0x32,0xef,0x0a,0x1c,0x5c,0x8f,0xdb,0x79,0xfa,0xbc,0x1b,0x08,0x37,0xb3,0x59,0x5f,0xc2,0x1e,0x81,0x48,0x60,0x87,0x24,0x83,0x9c,0x65,0x76,0x7a,0x08,0xbb,0xb5,0x8a,0x7d,0x38,0x19,0xe6,0x4a},
{0x2e,0xa3,0x44,0x53,0xaa,0xf6,0xdb,0x8d,0x78,0x40,0x1b,0xb4,0xb4,0xea,0x88,0x7d,0x60,0x0d,0x13,0x4a,0x97,0xeb,0xb0,0x5e,0x03,0x3e,0xbf,0x17,0x1b,0xd9,0x00,0x1a,0x83,0xfb,0x5b,0x98,0x44,0x7e,0x11,0x61,0x36,0x31,0x96,0x71,0x2a,0x46,0xe0,0xfc,0x4b,0x90,0x25,0xd4,0x48,0x34,0xac,0x83,0x64,0x3d,0xa4,0x5b,0xbe,0x5a,0x68,0x75,0xb2,0xf2,0x61,0xeb,0x33,0x09,0x96,0x6e,0x52,0x49,0xff,0xc9,0xa8,0x0f,0x3d,0x54,0x69,0x65,0xf6,0x7a,0x10,0x75,0x72,0xdf,0xaa,0xe6,0xb0,0x23,0xb6,0x29,0x55,0x13},
{0x18,0xd5,0xd1,0xad,0xd7,0xdb,0xf0,0x18,0x11,0x1f,0xc1,0xcf,0x88,0x78,0x9f,0x97,0x9b,0x75,0x14,0x71,0xf0,0xe1,0x32,0x87,0x01,0x3a,0xca,0x65,0x1a,0xb8,0xb5,0x79,0xfe,0x83,0x2e,0xe2,0xbc,0x16,0xc7,0xf5,0xc1,0x85,0x09,0xe8,0x19,0xeb,0x2b,0xb4,0xae,0x4a,0x25,0x14,0x37,0xa6,0x9d,0xec,0x13,0xa6,0x90,0x15,0x05,0xea,0x72,0x59,0x11,0x78,0x8f,0xdc,0x20,0xac,0xd4,0x0f,0xa8,0x4f,0x4d,0xac,0x94,0xd2,0x9a,0x9a,0x34,0x04,0x36,0xb3,0x64,0x2d,0x1b,0xc0,0xdb,0x3b,0x5f,0x90,0x95,0x9c,0x7e,0x4f},
{0x2e,0x30,0x81,0x57,0xbc,0x4b,0x67,0x62,0x0f,0xdc,0xad,0x89,0x39,0x0f,0x52,0xd8,0xc6,0xd9,0xfb,0x53,0xae,0x99,0x29,0x8c,0x4c,0x8e,0x63,0x2e,0xd9,0x3a,0x99,0x31,0xfe,0x99,0x52,0x35,0x3d,0x44,0xc8,0x71,0xd7,0xea,0xeb,0xdb,0x1c,0x3b,0xcd,0x8b,0x66,0x94,0xa4,0xf1,0x9e,0x49,0x92,0x80,0xc8,0xad,0x44,0xa1,0xc4,0xee,0x42,0x19,0x92,0x49,0x23,0xae,0x19,0x53,0xac,0x7d,0x92,0x3e,0xea,0x0c,0x91,0x3d,0x1b,0x2c,0x22,0x11,0x3c,0x25,0x94,0xe4,0x3c,0x55,0x75,0xca,0xf9,0x4e,0x31,0x65,0x0a,0x2a},
{0xc2,0x27,0xf9,0xf7,0x7f,0x93,0xb7,0x2d,0x35,0xa6,0xd0,0x17,0x06,0x1f,0x74,0xdb,0x76,0xaf,0x55,0x11,0xa2,0xf3,0x82,0x59,0xed,0x2d,0x7c,0x64,0x18,0xe2,0xf6,0x4c,0x3a,0x79,0x1c,0x3c,0xcd,0x1a,0x36,0xcf,0x3b,0xbc,0x35,0x5a,0xac,0xbc,0x9e,0x2f,0xab,0xa6,0xcd,0xa8,0xe9,0x60,0xe8,0x60,0x13,0x1a,0xea,0x6d,0x9b,0xc3,0x5d,0x05,0xb6,0x5b,0x8d,0xc2,0x7c,0x22,0x19,0xb1,0xab,0xff,0x4d,0x77,0xbc,0x4e,0xe2,0x07,0x89,0x2c,0xa3,0xe4,0xce,0x78,0x3c,0xa8,0xb6,0x24,0xaa,0x10,0x77,0x30,0x1a,0x12},
{0x97,0x4a,0x03,0x9f,0x5e,0x5d,0xdb,0xe4,0x2d,0xbc,0x34,0x30,0x09,0xfc,0x53,0xe1,0xb1,0xd3,0x51,0x95,0x91,0x46,0x05,0x46,0x2d,0xe5,0x40,0x7a,0x6c,0xc7,0x3f,0x33,0xc9,0x83,0x74,0xc7,0x3e,0x71,0x59,0xd6,0xaf,0x96,0x2b,0xb8,0x77,0xe0,0xbf,0x88,0xd3,0xbc,0x97,0x10,0x23,0x28,0x9e,0x28,0x9b,0x3a,0xed,0x6c,0x4a,0xb9,0x7b,0x52,0x2e,0x48,0x5b,0x99,0x2a,0x99,0x3d,0x56,0x01,0x38,0x38,0x6e,0x7c,0xd0,0x05,0x34,0xe5,0xd8,0x64,0x2f,0xde,0x35,0x50,0x48,0xf7,0xa9,0xa7,0x20,0x9b,0x06,0x89,0x6b},
{0x0d,0x22,0x70,0x62,0x41,0xa0,0x2a,0x81,0x4e,0x5b,0x24,0xf9,0xfa,0x89,0x5a,0x99,0x05,0xef,0x72,0x50,0xce,0xc4,0xad,0xff,0x73,0xeb,0x73,0xaa,0x03,0x21,0xbc,0x23,0x77,0xdb,0xc7,0xb5,0x8c,0xfa,0x82,0x40,0x55,0xc1,0x34,0xc7,0xf8,0x86,0x86,0x06,0x7e,0xa5,0xe7,0xf6,0xd9,0xc8,0xe6,0x29,0xcf,0x9b,0x63,0xa7,0x08,0xd3,0x73,0x04,0x05,0x9e,0x58,0x03,0x26,0x79,0xee,0xca,0x92,0xc4,0xdc,0x46,0x12,0x42,0x4b,0x2b,0x4f,0xa9,0x01,0xe6,0x74,0xef,0xa1,0x02,0x1a,0x34,0x04,0xde,0xbf,0x73,0x2f,0x10},
{0xc6,0x45,0x57,0x7f,0xab,0xb9,0x18,0xeb,0x90,0xc6,0x87,0x57,0xee,0x8a,0x3a,0x02,0xa9,0xaf,0xf7,0x2d,0xda,0x12,0x27,0xb7,0x3d,0x01,0x5c,0xea,0x25,0x7d,0x59,0x36,0x9a,0x1c,0x51,0xb5,0xe0,0xda,0xb4,0xa2,0x06,0xff,0xff,0x2b,0x29,0x60,0xc8,0x7a,0x34,0x42,0x50,0xf5,0x5d,0x37,0x1f,0x98,0x2d,0xa1,0x4e,0xda,0x25,0xd7,0x6b,0x3f,0xac,0x58,0x60,0x10,0x7b,0x8d,0x4d,0x73,0x5f,0x90,0xc6,0x6f,0x9e,0x57,0x40,0xd9,0x2d,0x93,0x02,0x92,0xf9,0xf8,0x66,0x64,0xd0,0xd6,0x60,0xda,0x19,0xcc,0x7e,0x7b},
{0x0d,0x69,0x5c,0x69,0x3c,0x37,0xc2,0x78,0x6e,0x90,0x42,0x06,0x66,0x2e,0x25,0xdd,0xd2,0x2b,0xe1,0x4a,0x44,0x44,0x1d,0x95,0x56,0x39,0x74,0x01,0x76,0xad,0x35,0x42,0x9b,0xfa,0x7c,0xa7,0x51,0x4a,0xae,0x6d,0x50,0x86,0xa3,0xe7,0x54,0x36,0x26,0x82,0xdb,0x82,0x2d,0x8f,0xcd,0xff,0xbb,0x09,0xba,0xca,0xf5,0x1b,0x66,0xdc,0xbe,0x03,0xf5,0x75,0x89,0x07,0x0d,0xcb,0x58,0x62,0x98,0xf2,0x89,0x91,0x54,0x42,0x29,0x49,0xe4,0x6e,0xe3,0xe2,0x23,0xb4,0xca,0xa0,0xa1,0x66,0xf0,0xcd,0xb0,0xe2,0x7c,0x0e},
{0xa3,0x85,0x8c,0xc4,0x3a,0x64,0x94,0xc4,0xad,0x39,0x61,0x3c,0xf4,0x1d,0x36,0xfd,0x48,0x4d,0xe9,0x3a,0xdd,0x17,0xdb,0x09,0x4a,0x67,0xb4,0x8f,0x5d,0x0a,0x6e,0x66,0xf9,0x70,0x4b,0xd9,0xdf,0xfe,0xa6,0xfe,0x2d,0xba,0xfc,0xc1,0x51,0xc0,0x30,0xf1,0x89,0xab,0x2f,0x7f,0x7e,0xd4,0x82,0x48,0xb5,0xee,0xec,0x8a,0x13,0x56,0x52,0x61,0x0d,0xcb,0x70,0x48,0x4e,0xf6,0xbb,0x2a,0x6b,0x8b,0x45,0xaa,0xf0,0xbc,0x65,0xcd,0x5d,0x98,0xe8,0x75,0xba,0x4e,0xbe,0x9a,0xe4,0xde,0x14,0xd5,0x10,0xc8,0x0b,0x7f},
{0x6f,0x13,0xf4,0x26,0xa4,0x6b,0x00,0xb9,0x35,0x30,0xe0,0x57,0x9e,0x36,0x67,0x8d,0x28,0x3c,0x46,0x4f,0xd9,0xdf,0xc8,0xcb,0xf5,0xdb,0xee,0xf8,0xbc,0x8d,0x1f,0x0d,0xa0,0x13,0x72,0x73,0xad,0x9d,0xac,0x83,0x98,0x2e,0xf7,0x2e,0xba,0xf8,0xf6,0x9f,0x57,0x69,0xec,0x43,0xdd,0x2e,0x1e,0x31,0x75,0xab,0xc5,0xde,0x7d,0x90,0x3a,0x1d,0xdc,0x81,0xd0,0x3e,0x31,0x93,0x16,0xba,0x80,0x34,0x1b,0x85,0xad,0x9f,0x32,0x29,0xcb,0x21,0x03,0x03,0x3c,0x01,0x28,0x01,0xe3,0xfd,0x1b,0xa3,0x44,0x1b,0x01,0x00},
{0x0c,0x6c,0xc6,0x3f,0x6c,0xa0,0xdf,0x3f,0xd2,0x0d,0xd6,0x4d,0x8e,0xe3,0x40,0x5d,0x71,0x4d,0x8e,0x26,0x38,0x8b,0xe3,0x7a,0xe1,0x57,0x83,0x6e,0x91,0x8d,0xc4,0x3a,0x5c,0xa7,0x0a,0x6a,0x69,0x1f,0x56,0x16,0x6a,0xbd,0x52,0x58,0x5c,0x72,0xbf,0xc1,0xad,0x66,0x79,0x9a,0x7f,0xdd,0xa8,0x11,0x26,0x10,0x85,0xd2,0xa2,0x88,0xd9,0x63,0x2e,0x23,0xbd,0xaf,0x53,0x07,0x12,0x00,0x83,0xf6,0xd8,0xfd,0xb8,0xce,0x2b,0xe9,0x91,0x2b,0xe7,0x84,0xb3,0x69,0x16,0xf8,0x66,0xa0,0x68,0x23,0x2b,0xd5,0xfa,0x33},
{0x16,0x1e,0xe4,0xc5,0xc6,0x49,0x06,0x54,0x35,0x77,0x3f,0x33,0x30,0x64,0xf8,0x0a,0x46,0xe7,0x05,0xf3,0xd2,0xfc,0xac,0xb2,0xa7,0xdc,0x56,0xa2,0x29,0xf4,0xc0,0x16,0xe8,0xcf,0x22,0xc4,0xd0,0xc8,0x2c,0x8d,0xcb,0x3a,0xa1,0x05,0x7b,0x4f,0x2b,0x07,0x6f,0xa5,0xf6,0xec,0xe6,0xb6,0xfe,0xa3,0xe2,0x71,0x0a,0xb9,0xcc,0x55,0xc3,0x3c,0x31,0x91,0x3e,0x90,0x43,0x94,0xb6,0xe9,0xce,0x37,0x56,0x7a,0xcb,0x94,0xa4,0xb8,0x44,0x92,0xba,0xba,0xa4,0xd1,0x7c,0xc8,0x68,0x75,0xae,0x6b,0x42,0xaf,0x1e,0x63},
{0x9f,0xfe,0x66,0xda,0x10,0x04,0xe9,0xb3,0xa6,0xe5,0x16,0x6c,0x52,0x4b,0xdd,0x85,0x83,0xbf,0xf9,0x1e,0x61,0x97,0x3d,0xbc,0xb5,0x19,0xa9,0x1e,0x8b,0x64,0x99,0x55,0xe8,0x0d,0x70,0xa3,0xb9,0x75,0xd9,0x47,0x52,0x05,0xf8,0xe2,0xfb,0xc5,0x80,0x72,0xe1,0x5d,0xe4,0x32,0x27,0x8f,0x65,0x53,0xb5,0x80,0x5f,0x66,0x7f,0x2c,0x1f,0x43,0x19,0x7b,0x8f,0x85,0x44,0x63,0x02,0xd6,0x4a,0x51,0xea,0xa1,0x2f,0x35,0xab,0x14,0xd7,0xa9,0x90,0x20,0x1a,0x44,0x00,0x89,0x26,0x3b,0x25,0x91,0x5f,0x71,0x04,0x7b},
{0x43,0xae,0xf6,0xac,0x28,0xbd,0xed,0x83,0xb4,0x7a,0x5c,0x7d,0x8b,0x7c,0x35,0x86,0x44,0x2c,0xeb,0xb7,0x69,0x47,0x40,0xc0,0x3f,0x58,0xf6,0xc2,0xf5,0x7b,0xb3,0x59,0xc6,0xba,0xe6,0xc4,0x80,0xc2,0x76,0xb3,0x0b,0x9b,0x1d,0x6d,0xdd,0xd3,0x0e,0x97,0x44,0xf9,0x0b,0x45,0x58,0x95,0x9a,0xb0,0x23,0xe2,0xcd,0x57,0xfa,0xac,0xd0,0x48,0x71,0xe6,0xab,0x7d,0xe4,0x26,0x0f,0xb6,0x37,0x3a,0x2f,0x62,0x97,0xa1,0xd1,0xf1,0x94,0x03,0x96,0xe9,0x7e,0xce,0x08,0x42,0xdb,0x3b,0x6d,0x33,0x91,0x41,0x23,0x16},
{0xf6,0x7f,0x26,0xf6,0xde,0x99,0xe4,0xb9,0x43,0x08,0x2c,0x74,0x7b,0xca,0x72,0x77,0xb1,0xf2,0xa4,0xe9,0x3f,0x15,0xa0,0x23,0x06,0x50,0xd0,0xd5,0xec,0xdf,0xdf,0x2c,0x40,0x86,0xf3,0x1f,0xd6,0x9c,0x49,0xdd,0xa0,0x25,0x36,0x06,0xc3,0x9b,0xcd,0x29,0xc3,0x3d,0xd7,0x3d,0x02,0xd8,0xe2,0x51,0x31,0x92,0x3b,0x20,0x7a,0x70,0x25,0x4a,0x6a,0xed,0xf6,0x53,0x8a,0x66,0xb7,0x2a,0xa1,0x70,0xd1,0x1d,0x58,0x42,0x42,0x30,0x61,0x01,0xe2,0x3a,0x4c,0x14,0x00,0x40,0xfc,0x49,0x8e,0x24,0x6d,0x89,0x21,0x57},
{0xae,0x1b,0x18,0xfd,0x17,0x55,0x6e,0x0b,0xb4,0x63,0xb9,0x2b,0x9f,0x62,0x22,0x90,0x25,0x46,0x06,0x32,0xe9,0xbc,0x09,0x55,0xda,0x13,0x3c,0xf6,0x74,0xdd,0x8e,0x57,0x4e,0xda,0xd0,0xa1,0x91,0x50,0x5d,0x28,0x08,0x3e,0xfe,0xb5,0xa7,0x6f,0xaa,0x4b,0xb3,0x93,0x93,0xe1,0x7c,0x17,0xe5,0x63,0xfd,0x30,0xb0,0xc4,0xaf,0x35,0xc9,0x03,0x3d,0x0c,0x2b,0x49,0xc6,0x76,0x72,0x99,0xfc,0x05,0xe2,0xdf,0xc4,0xc2,0xcc,0x47,0x3c,0x3a,0x62,0xdd,0x84,0x9b,0xd2,0xdc,0xa2,0xc7,0x88,0x02,0x59,0xab,0xc2,0x3e},
{0xb9,0x7b,0xd8,0xe4,0x7b,0xd2,0xa0,0xa1,0xed,0x1a,0x39,0x61,0xeb,0x4d,0x8b,0xa9,0x83,0x9b,0xcb,0x73,0xd0,0xdd,0xa0,0x99,0xce,0xca,0x0f,0x20,0x5a,0xc2,0xd5,0x2d,0xcb,0xd1,0x32,0xae,0x09,0x3a,0x21,0xa7,0xd5,0xc2,0xf5,0x40,0xdf,0x87,0x2b,0x0f,0x29,0xab,0x1e,0xe8,0xc6,0xa4,0xae,0x0b,0x5e,0xac,0xdb,0x6a,0x6c,0xf6,0x1b,0x0e,0x7e,0x88,0x2c,0x79,0xe9,0xd5,0xab,0xe2,0x5d,0x6d,0x92,0xcb,0x18,0x00,0x02,0x1a,0x1e,0x5f,0xae,0xba,0xcd,0x69,0xba,0xbf,0x5f,0x8f,0xe8,0x5a,0xb3,0x48,0x05,0x73},
{0xee,0xb8,0xa8,0xcb,0xa3,0x51,0x35,0xc4,0x16,0x5f,0x11,0xb2,0x1d,0x6f,0xa2,0x65,0x50,0x38,0x8c,0xab,0x52,0x4f,0x0f,0x76,0xca,0xb8,0x1d,0x41,0x3b,0x44,0x43,0x30,0x34,0xe3,0xd6,0xa1,0x4b,0x09,0x5b,0x80,0x19,0x3f,0x35,0x09,0x77,0xf1,0x3e,0xbf,0x2b,0x70,0x22,0x06,0xcb,0x06,0x3f,0x42,0xdd,0x45,0x78,0xd8,0x77,0x22,0x5a,0x58,0x62,0x89,0xd4,0x33,0x82,0x5f,0x8a,0xa1,0x7f,0x25,0x78,0xec,0xb5,0xc4,0x98,0x66,0xff,0x41,0x3e,0x37,0xa5,0x6f,0x8e,0xa7,0x1f,0x98,0xef,0x50,0x89,0x27,0x56,0x76},
{0xc0,0xc8,0x1f,0xd5,0x59,0xcf,0xc3,0x38,0xf2,0xb6,0x06,0x05,0xfd,0xd2,0xed,0x9b,0x8f,0x0e,0x57,0xab,0x9f,0x10,0xbf,0x26,0xa6,0x46,0xb8,0xc1,0xa8,0x60,0x41,0x3f,0x9d,0xcf,0x86,0xea,0xa3,0x73,0x70,0xe1,0xdc,0x5f,0x15,0x07,0xb7,0xfb,0x8c,0x3a,0x8e,0x8a,0x83,0x31,0xfc,0xe7,0x53,0x48,0x16,0xf6,0x13,0xb6,0x84,0xf4,0xbb,0x28,0x7c,0x6c,0x13,0x6f,0x5c,0x2f,0x61,0xf2,0xbe,0x11,0xdd,0xf6,0x07,0xd1,0xea,0xaf,0x33,0x6f,0xde,0x13,0xd2,0x9a,0x7e,0x52,0x5d,0xf7,0x88,0x81,0x35,0xcb,0x79,0x1e},
{0xf1,0xe3,0xf7,0xee,0xc3,0x36,0x34,0x01,0xf8,0x10,0x9e,0xfe,0x7f,0x6a,0x8b,0x82,0xfc,0xde,0xf9,0xbc,0xe5,0x08,0xf9,0x7f,0x31,0x38,0x3b,0x3a,0x1b,0x95,0xd7,0x65,0x81,0x81,0xe0,0xf5,0xd8,0x53,0xe9,0x77,0xd9,0xde,0x9d,0x29,0x44,0x0c,0xa5,0x84,0xe5,0x25,0x45,0x86,0x0c,0x2d,0x6c,0xdc,0xf4,0xf2,0xd1,0x39,0x2d,0xb5,0x8a,0x47,0x59,0xd1,0x52,0x92,0xd3,0xa4,0xa6,0x66,0x07,0xc8,0x1a,0x87,0xbc,0xe1,0xdd,0xe5,0x6f,0xc9,0xc1,0xa6,0x40,0x6b,0x2c,0xb8,0x14,0x22,0x21,0x1a,0x41,0x7a,0xd8,0x16},
{0x15,0x62,0x06,0x42,0x5a,0x7e,0xbd,0xb3,0xc1,0x24,0x5a,0x0c,0xcd,0xe3,0x9b,0x87,0xb7,0x94,0xf9,0xd6,0xb1,0x5d,0xc0,0x57,0xa6,0x8c,0xf3,0x65,0x81,0x7c,0xf8,0x28,0x83,0x05,0x4e,0xd5,0xe2,0xd5,0xa4,0xfb,0xfa,0x99,0xbd,0x2e,0xd7,0xaf,0x1f,0xe2,0x8f,0x77,0xe9,0x6e,0x73,0xc2,0x7a,0x49,0xde,0x6d,0x5a,0x7a,0x57,0x0b,0x99,0x1f,0xd6,0xf7,0xe8,0x1b,0xad,0x4e,0x34,0xa3,0x8f,0x79,0xea,0xac,0xeb,0x50,0x1e,0x7d,0x52,0xe0,0x0d,0x52,0x9e,0x56,0xc6,0x77,0x3e,0x6d,0x4d,0x53,0xe1,0x2f,0x88,0x45},
{0xd6,0x83,0x79,0x75,0x5d,0x34,0x69,0x66,0xa6,0x11,0xaa,0x17,0x11,0xed,0xb6,0x62,0x8f,0x12,0x5e,0x98,0x57,0x18,0xdd,0x7d,0xdd,0xf6,0x26,0xf6,0xb8,0xe5,0x8f,0x68,0xe4,0x6f,0x3c,0x94,0x29,0x99,0xac,0xd8,0xa2,0x92,0x83,0xa3,0x61,0xf1,0xf9,0xb5,0xf3,0x9a,0xc8,0xbe,0x13,0xdb,0x99,0x26,0x74,0xf0,0x05,0xe4,0x3c,0x84,0xcf,0x7d,0xc0,0x32,0x47,0x4a,0x48,0xd6,0x90,0x6c,0x99,0x32,0x56,0xca,0xfd,0x43,0x21,0xd5,0xe1,0xc6,0x5d,0x91,0xc3,0x28,0xbe,0xb3,0x1b,0x19,0x27,0x73,0x7e,0x68,0x39,0x67},
{0xa6,0x75,0x56,0x38,0x14,0x20,0x78,0xef,0xe8,0xa9,0xfd,0xaa,0x30,0x9f,0x64,0xa2,0xcb,0xa8,0xdf,0x5c,0x50,0xeb,0xd1,0x4c,0xb3,0xc0,0x4d,0x1d,0xba,0x5a,0x11,0x46,0xc0,0x1a,0x0c,0xc8,0x9d,0xcc,0x6d,0xa6,0x36,0xa4,0x38,0x1b,0xf4,0x5c,0xa0,0x97,0xc6,0xd7,0xdb,0x95,0xbe,0xf3,0xeb,0xa7,0xab,0x7d,0x7e,0x8d,0xf6,0xb8,0xa0,0x7d,0x76,0xda,0xb5,0xc3,0x53,0x19,0x0f,0xd4,0x9b,0x9e,0x11,0x21,0x73,0x6f,0xac,0x1d,0x60,0x59,0xb2,0xfe,0x21,0x60,0xcc,0x03,0x4b,0x4b,0x67,0x83,0x7e,0x88,0x5f,0x5a},
{0x11,0x3d,0xa1,0x70,0xcf,0x01,0x63,0x8f,0xc4,0xd0,0x0d,0x35,0x15,0xb8,0xce,0xcf,0x7e,0xa4,0xbc,0xa4,0xd4,0x97,0x02,0xf7,0x34,0x14,0x4d,0xe4,0x56,0xb6,0x69,0x36,0xb9,0x43,0xa6,0xa0,0xd3,0x28,0x96,0x9e,0x64,0x20,0xc3,0xe6,0x00,0xcb,0xc3,0xb5,0x32,0xec,0x2d,0x7c,0x89,0x02,0x53,0x9b,0x0c,0xc7,0xd1,0xd5,0xe2,0x7a,0xe3,0x43,0x33,0xe1,0xa6,0xed,0x06,0x3f,0x7e,0x38,0xc0,0x3a,0xa1,0x99,0x51,0x1d,0x30,0x67,0x11,0x38,0x26,0x36,0xf8,0xd8,0x5a,0xbd,0xbe,0xe9,0xd5,0x4f,0xcd,0xe6,0x21,0x6a},
{0x5f,0xe6,0x46,0x30,0x0a,0x17,0xc6,0xf1,0x24,0x35,0xd2,0x00,0x2a,0x2a,0x71,0x58,0x55,0xb7,0x82,0x8c,0x3c,0xbd,0xdb,0x69,0x57,0xff,0x95,0xa1,0xf1,0xf9,0x6b,0x58,0xe3,0xb2,0x99,0x66,0x12,0x29,0x41,0xef,0x01,0x13,0x8d,0x70,0x47,0x08,0xd3,0x71,0xbd,0xb0,0x82,0x11,0xd0,0x32,0x54,0x32,0x36,0x8b,0x1e,0x00,0x07,0x1b,0x37,0x45,0x0b,0x79,0xf8,0x5e,0x8d,0x08,0xdb,0xa6,0xe5,0x37,0x09,0x61,0xdc,0xf0,0x78,0x52,0xb8,0x6e,0xa1,0x61,0xd2,0x49,0x03,0xac,0x79,0x21,0xe5,0x90,0x37,0xb0,0xaf,0x0e},
{0x2f,0x04,0x48,0x37,0xc1,0x55,0x05,0x96,0x11,0xaa,0x0b,0x82,0xe6,0x41,0x9a,0x21,0x0c,0x6d,0x48,0x73,0x38,0xf7,0x81,0x1c,0x61,0xc6,0x02,0x5a,0x67,0xcc,0x9a,0x30,0x1d,0xae,0x75,0x0f,0x5e,0x80,0x40,0x51,0x30,0xcc,0x62,0x26,0xe3,0xfb,0x02,0xec,0x6d,0x39,0x92,0xea,0x1e,0xdf,0xeb,0x2c,0xb3,0x5b,0x43,0xc5,0x44,0x33,0xae,0x44,0xee,0x43,0xa5,0xbb,0xb9,0x89,0xf2,0x9c,0x42,0x71,0xc9,0x5a,0x9d,0x0e,0x76,0xf3,0xaa,0x60,0x93,0x4f,0xc6,0xe5,0x82,0x1d,0x8f,0x67,0x94,0x7f,0x1b,0x22,0xd5,0x62},
{0x6d,0x93,0xd0,0x18,0x9c,0x29,0x4c,0x52,0x0c,0x1a,0x0c,0x8a,0x6c,0xb5,0x6b,0xc8,0x31,0x86,0x4a,0xdb,0x2e,0x05,0x75,0xa3,0x62,0x45,0x75,0xbc,0xe4,0xfd,0x0e,0x5c,0x3c,0x7a,0xf7,0x3a,0x26,0xd4,0x85,0x75,0x4d,0x14,0xe9,0xfe,0x11,0x7b,0xae,0xdf,0x3d,0x19,0xf7,0x59,0x80,0x70,0x06,0xa5,0x37,0x20,0x92,0x83,0x53,0x9a,0xf2,0x14,0xf5,0xd7,0xb2,0x25,0xdc,0x7e,0x71,0xdf,0x40,0x30,0xb5,0x99,0xdb,0x70,0xf9,0x21,0x62,0x4c,0xed,0xc3,0xb7,0x34,0x92,0xda,0x3e,0x09,0xee,0x7b,0x5c,0x36,0x72,0x5e},
{0x7f,0x21,0x71,0x45,0x07,0xfc,0x5b,0x57,0x5b,0xd9,0x94,0x06,0x5d,0x67,0x79,0x37,0x33,0x1e,0x19,0xf4,0xbb,0x37,0x0a,0x9a,0xbc,0xea,0xb4,0x47,0x4c,0x10,0xf1,0x77,0x3e,0xb3,0x08,0x2f,0x06,0x39,0x93,0x7d,0xbe,0x32,0x9f,0xdf,0xe5,0x59,0x96,0x5b,0xfd,0xbd,0x9e,0x1f,0xad,0x3d,0xff,0xac,0xb7,0x49,0x73,0xcb,0x55,0x05,0xb2,0x70,0x4c,0x2c,0x11,0x55,0xc5,0x13,0x51,0xbe,0xcd,0x1f,0x88,0x9a,0x3a,0x42,0x88,0x66,0x47,0x3b,0x50,0x5e,0x85,0x77,0x66,0x44,0x4a,0x40,0x06,0x4a,0x8f,0x39,0x34,0x0e},
{0xe8,0xbd,0xce,0x3e,0xd9,0x22,0x7d,0xb6,0x07,0x2f,0x82,0x27,0x41,0xe8,0xb3,0x09,0x8d,0x6d,0x5b,0xb0,0x1f,0xa6,0x3f,0x74,0x72,0x23,0x36,0x8a,0x36,0x05,0x54,0x5e,0x28,0x19,0x4b,0x3e,0x09,0x0b,0x93,0x18,0x40,0xf6,0xf3,0x73,0x0e,0xe1,0xe3,0x7d,0x6f,0x5d,0x39,0x73,0xda,0x17,0x32,0xf4,0x3e,0x9c,0x37,0xca,0xd6,0xde,0x8a,0x6f,0x9a,0xb2,0xb7,0xfd,0x3d,0x12,0x40,0xe3,0x91,0xb2,0x1a,0xa2,0xe1,0x97,0x7b,0x48,0x9e,0x94,0xe6,0xfd,0x02,0x7d,0x96,0xf9,0x97,0xde,0xd3,0xc8,0x2e,0xe7,0x0d,0x78},
{0xbc,0xe7,0x9a,0x08,0x45,0x85,0xe2,0x0a,0x06,0x4d,0x7f,0x1c,0xcf,0xde,0x8d,0x38,0xb8,0x11,0x48,0x0a,0x51,0x15,0xac,0x38,0xe4,0x8c,0x92,0x71,0xf6,0x8b,0xb2,0x0e,0x72,0x27,0xf4,0x00,0xf3,0xea,0x1f,0x67,0xaa,0x41,0x8c,0x2a,0x2a,0xeb,0x72,0x8f,0x92,0x32,0x37,0x97,0xd7,0x7f,0xa1,0x29,0xa6,0x87,0xb5,0x32,0xad,0xc6,0xef,0x1d,0xa7,0x95,0x51,0xef,0x1a,0xbe,0x5b,0xaf,0xed,0x15,0x7b,0x91,0x77,0x12,0x8c,0x14,0x2e,0xda,0xe5,0x7a,0xfb,0xf7,0x91,0x29,0x67,0x28,0xdd,0xf8,0x1b,0x20,0x7d,0x46},
{0xad,0x4f,0xef,0x74,0x9a,0x91,0xfe,0x95,0xa2,0x08,0xa3,0xf6,0xec,0x7b,0x82,0x3a,0x01,0x7b,0xa4,0x09,0xd3,0x01,0x4e,0x96,0x97,0xc7,0xa3,0x5b,0x4f,0x3c,0xc4,0x71,0xa9,0xe7,0x7a,0x56,0xbd,0xf4,0x1e,0xbc,0xbd,0x98,0x44,0xd6,0xb2,0x4c,0x62,0x3f,0xc8,0x4e,0x1f,0x2c,0xd2,0x64,0x10,0xe4,0x01,0x40,0x38,0xba,0xa5,0xc5,0xf9,0x2e,0xcd,0x74,0x9e,0xfa,0xf6,0x6d,0xfd,0xb6,0x7a,0x26,0xaf,0xe4,0xbc,0x78,0x82,0xf1,0x0e,0x99,0xef,0xf1,0xd0,0xb3,0x55,0x82,0x93,0xf2,0xc5,0x90,0xa3,0x8c,0x75,0x5a},
{0x95,0x24,0x46,0xd9,0x10,0x27,0xb7,0xa2,0x03,0x50,0x7d,0xd5,0xd2,0xc6,0xa8,0x3a,0xca,0x87,0xb4,0xa0,0xbf,0x00,0xd4,0xe3,0xec,0x72,0xeb,0xb3,0x44,0xe2,0xba,0x2d,0x94,0xdc,0x61,0x1d,0x8b,0x91,0xe0,0x8c,0x66,0x30,0x81,0x9a,0x46,0x36,0xed,0x8d,0xd3,0xaa,0xe8,0xaf,0x29,0xa8,0xe6,0xd4,0x3f,0xd4,0x39,0xf6,0x27,0x80,0x73,0x0a,0xcc,0xe1,0xff,0x57,0x2f,0x4a,0x0f,0x98,0x43,0x98,0x83,0xe1,0x0d,0x0d,0x67,0x00,0xfd,0x15,0xfb,0x49,0x4a,0x3f,0x5c,0x10,0x9c,0xa6,0x26,0x51,0x63,0xca,0x98,0x26},
{0x78,0xba,0xb0,0x32,0x88,0x31,0x65,0xe7,0x8b,0xff,0x5c,0x92,0xf7,0x31,0x18,0x38,0xcc,0x1f,0x29,0xa0,0x91,0x1b,0xa8,0x08,0x07,0xeb,0xca,0x49,0xcc,0x3d,0xb4,0x1f,0x0e,0xd9,0x3d,0x5e,0x2f,0x70,0x3d,0x2e,0x86,0x53,0xd2,0xe4,0x18,0x09,0x3f,0x9e,0x6a,0xa9,0x4d,0x02,0xf6,0x3e,0x77,0x5e,0x32,0x33,0xfa,0x4a,0x0c,0x4b,0x00,0x3c,0x2b,0xb8,0xf4,0x06,0xac,0x46,0xa9,0x9a,0xf3,0xc4,0x06,0xa8,0xa5,0x84,0xa2,0x1c,0x87,0x47,0xcd,0xc6,0x5f,0x26,0xd3,0x3e,0x17,0xd2,0x1f,0xcd,0x01,0xfd,0x43,0x6b},
{0x44,0xc5,0x97,0x46,0x4b,0x5d,0xa7,0xc7,0xbf,0xff,0x0f,0xdf,0x48,0xf8,0xfd,0x15,0x5a,0x78,0x46,0xaa,0xeb,0xb9,0x68,0x28,0x14,0xf7,0x52,0x5b,0x10,0xd7,0x68,0x5a,0xf3,0x0e,0x76,0x3e,0x58,0x42,0xc7,0xb5,0x90,0xb9,0x0a,0xee,0xb9,0x52,0xdc,0x75,0x3f,0x92,0x2b,0x07,0xc2,0x27,0x14,0xbf,0xf0,0xd9,0xf0,0x6f,0x2d,0x0b,0x42,0x73,0x06,0x1e,0x85,0x9e,0xcb,0xf6,0x2c,0xaf,0xc4,0x38,0x22,0xc6,0x13,0x39,0x59,0x8f,0x73,0xf3,0xfb,0x99,0x96,0xb8,0x8a,0xda,0x9e,0xbc,0x34,0xea,0x2f,0x63,0xb5,0x3d},
{0xd8,0xd9,0x5d,0xf7,0x2b,0xee,0x6e,0xf4,0xa5,0x59,0x67,0x39,0xf6,0xb1,0x17,0x0d,0x73,0x72,0x9e,0x49,0x31,0xd1,0xf2,0x1b,0x13,0x5f,0xd7,0x49,0xdf,0x1a,0x32,0x04,0xd5,0x25,0x98,0x82,0xb1,0x90,0x49,0x2e,0x91,0x89,0x9a,0x3e,0x87,0xeb,0xea,0xed,0xf8,0x4a,0x70,0x4c,0x39,0x3d,0xf0,0xee,0x0e,0x2b,0xdf,0x95,0xa4,0x7e,0x19,0x59,0xae,0x5a,0xe5,0xe4,0x19,0x60,0xe1,0x04,0xe9,0x92,0x2f,0x7e,0x7a,0x43,0x7b,0xe7,0xa4,0x9a,0x15,0x6f,0xc1,0x2d,0xce,0xc7,0xc0,0x0c,0xd7,0xf4,0xc1,0xfd,0xea,0x45},
{0x2b,0xd7,0x45,0x80,0x85,0x01,0x84,0x69,0x51,0x06,0x2f,0xcf,0xa2,0xfa,0x22,0x4c,0xc6,0x2d,0x22,0x6b,0x65,0x36,0x1a,0x94,0xde,0xda,0x62,0x03,0xc8,0xeb,0x5e,0x5a,0xed,0xb1,0xcc,0xcf,0x24,0x46,0x0e,0xb6,0x95,0x03,0x5c,0xbd,0x92,0xc2,0xdb,0x59,0xc9,0x81,0x04,0xdc,0x1d,0x9d,0xa0,0x31,0x40,0xd9,0x56,0x5d,0xea,0xce,0x73,0x3f,0xc6,0x8d,0x4e,0x0a,0xd1,0xbf,0xa7,0xb7,0x39,0xb3,0xc9,0x44,0x7e,0x00,0x57,0xbe,0xfa,0xae,0x57,0x15,0x7f,0x20,0xc1,0x60,0xdb,0x18,0x62,0x26,0x91,0x88,0x05,0x26},
{0x04,0xff,0x60,0x83,0xa6,0x04,0xf7,0x59,0xf4,0xe6,0x61,0x76,0xde,0x3f,0xd9,0xc3,0x51,0x35,0x87,0x12,0x73,0x2a,0x1b,0x83,0x57,0x5d,0x61,0x4e,0x2e,0x0c,0xad,0x54,0x42,0xe5,0x76,0xc6,0x3c,0x8e,0x81,0x4c,0xad,0xcc,0xce,0x03,0x93,0x2c,0x42,0x5e,0x08,0x9f,0x12,0xb4,0xca,0xcc,0x07,0xec,0xb8,0x43,0x44,0xb2,0x10,0xfa,0xed,0x0d,0x2a,0x52,0x2b,0xb8,0xd5,0x67,0x3b,0xee,0xeb,0xc1,0xa5,0x9f,0x46,0x63,0xf1,0x36,0xd3,0x9f,0xc1,0x6e,0xf2,0xd2,0xb4,0xa5,0x08,0x94,0x7a,0xa7,0xba,0xb2,0xec,0x62},
{0x3d,0x2b,0x15,0x61,0x52,0x79,0xed,0xe5,0xd1,0xd7,0xdd,0x0e,0x7d,0x35,0x62,0x49,0x71,0x4c,0x6b,0xb9,0xd0,0xc8,0x82,0x74,0xbe,0xd8,0x66,0xa9,0x19,0xf9,0x59,0x2e,0x74,0x28,0xb6,0xaf,0x36,0x28,0x07,0x92,0xa5,0x04,0xe1,0x79,0x85,0x5e,0xcd,0x5f,0x4a,0xa1,0x30,0xc6,0xad,0x01,0xad,0x5a,0x98,0x3f,0x66,0x75,0x50,0x3d,0x91,0x61,0xda,0x31,0x32,0x1a,0x36,0x2d,0xc6,0x0d,0x70,0x02,0x20,0x94,0x32,0x58,0x47,0xfa,0xce,0x94,0x95,0x3f,0x51,0x01,0xd8,0x02,0x5c,0x5d,0xc0,0x31,0xa1,0xc2,0xdb,0x3d},
{0x4b,0xc5,0x5e,0xce,0xf9,0x0f,0xdc,0x9a,0x0d,0x13,0x2f,0x8c,0x6b,0x2a,0x9c,0x03,0x15,0x95,0xf8,0xf0,0xc7,0x07,0x80,0x02,0x6b,0xb3,0x04,0xac,0x14,0x83,0x96,0x78,0x14,0xbb,0x96,0x27,0xa2,0x57,0xaa,0xf3,0x21,0xda,0x07,0x9b,0xb7,0xba,0x3a,0x88,0x1c,0x39,0xa0,0x31,0x18,0xe2,0x4b,0xe5,0xf9,0x05,0x32,0xd8,0x38,0xfb,0xe7,0x5e,0x8e,0x6a,0x44,0x41,0xcb,0xfd,0x8d,0x53,0xf9,0x37,0x49,0x43,0xa9,0xfd,0xac,0xa5,0x78,0x8c,0x3c,0x26,0x8d,0x90,0xaf,0x46,0x09,0x0d,0xca,0x9b,0x3c,0x63,0xd0,0x61},
{0x66,0x25,0xdb,0xff,0x35,0x49,0x74,0x63,0xbb,0x68,0x0b,0x78,0x89,0x6b,0xbd,0xc5,0x03,0xec,0x3e,0x55,0x80,0x32,0x1b,0x6f,0xf5,0xd7,0xae,0x47,0xd8,0x5f,0x96,0x6e,0xdf,0x73,0xfc,0xf8,0xbc,0x28,0xa3,0xad,0xfc,0x37,0xf0,0xa6,0x5d,0x69,0x84,0xee,0x09,0xa9,0xc2,0x38,0xdb,0xb4,0x7f,0x63,0xdc,0x7b,0x06,0xf8,0x2d,0xac,0x23,0x5b,0x7b,0x52,0x80,0xee,0x53,0xb9,0xd2,0x9a,0x8d,0x6d,0xde,0xfa,0xaa,0x19,0x8f,0xe8,0xcf,0x82,0x0e,0x15,0x04,0x17,0x71,0x0e,0xdc,0xde,0x95,0xdd,0xb9,0xbb,0xb9,0x79},
{0xc2,0x26,0x31,0x6a,0x40,0x55,0xb3,0xeb,0x93,0xc3,0xc8,0x68,0xa8,0x83,0x63,0xd2,0x82,0x7a,0xb9,0xe5,0x29,0x64,0x0c,0x6c,0x47,0x21,0xfd,0xc9,0x58,0xf1,0x65,0x50,0x74,0x73,0x9f,0x8e,0xae,0x7d,0x99,0xd1,0x16,0x08,0xbb,0xcf,0xf8,0xa2,0x32,0xa0,0x0a,0x5f,0x44,0x6d,0x12,0xba,0x6c,0xcd,0x34,0xb8,0xcc,0x0a,0x46,0x11,0xa8,0x1b,0x54,0x99,0x42,0x0c,0xfb,0x69,0x81,0x70,0x67,0xcf,0x6e,0xd7,0xac,0x00,0x46,0xe1,0xba,0x45,0xe6,0x70,0x8a,0xb9,0xaa,0x2e,0xf2,0xfa,0xa4,0x58,0x9e,0xf3,0x81,0x39},
{0x93,0x0a,0x23,0x59,0x75,0x8a,0xfb,0x18,0x5d,0xf4,0xe6,0x60,0x69,0x8f,0x16,0x1d,0xb5,0x3c,0xa9,0x14,0x45,0xa9,0x85,0x3a,0xfd,0xd0,0xac,0x05,0x37,0x08,0xdc,0x38,0xde,0x6f,0xe6,0x6d,0xa5,0xdf,0x45,0xc8,0x3a,0x48,0x40,0x2c,0x00,0xa5,0x52,0xe1,0x32,0xf6,0xb4,0xc7,0x63,0xe1,0xd2,0xe9,0x65,0x1b,0xbc,0xdc,0x2e,0x45,0xf4,0x30,0x40,0x97,0x75,0xc5,0x82,0x27,0x6d,0x85,0xcc,0xbe,0x9c,0xf9,0x69,0x45,0x13,0xfa,0x71,0x4e,0xea,0xc0,0x73,0xfc,0x44,0x88,0x69,0x24,0x3f,0x59,0x1a,0x9a,0x2d,0x63},
{0xa6,0xcb,0x07,0xb8,0x15,0x6b,0xbb,0xf6,0xd7,0xf0,0x54,0xbc,0xdf,0xc7,0x23,0x18,0x0b,0x67,0x29,0x6e,0x03,0x97,0x1d,0xbb,0x57,0x4a,0xed,0x47,0x88,0xf4,0x24,0x0b,0xa7,0x84,0x0c,0xed,0x11,0xfd,0x09,0xbf,0x3a,0x69,0x9f,0x0d,0x81,0x71,0xf0,0x63,0x79,0x87,0xcf,0x57,0x2d,0x8c,0x90,0x21,0xa2,0x4b,0xf6,0x8a,0xf2,0x7d,0x5a,0x3a,0xc7,0xea,0x1b,0x51,0xbe,0xd4,0xda,0xdc,0xf2,0xcc,0x26,0xed,0x75,0x80,0x53,0xa4,0x65,0x9a,0x5f,0x00,0x9f,0xff,0x9c,0xe1,0x63,0x1f,0x48,0x75,0x44,0xf7,0xfc,0x34},
{0xca,0x67,0x97,0x78,0x4c,0xe0,0x97,0xc1,0x7d,0x46,0xd9,0x38,0xcb,0x4d,0x71,0xb8,0xa8,0x5f,0xf9,0x83,0x82,0x88,0xde,0x55,0xf7,0x63,0xfa,0x4d,0x16,0xdc,0x3b,0x3d,0x98,0xaa,0xcf,0x78,0xab,0x1d,0xbb,0xa5,0xf2,0x72,0x0b,0x19,0x67,0xa2,0xed,0x5c,0x8e,0x60,0x92,0x0a,0x11,0xc9,0x09,0x93,0xb0,0x74,0xb3,0x2f,0x04,0xa3,0x19,0x01,0x7d,0x17,0xc2,0xe8,0x9c,0xd8,0xa2,0x67,0xc1,0xd0,0x95,0x68,0xf6,0xa5,0x9d,0x66,0xb0,0xa2,0x82,0xb2,0xe5,0x98,0x65,0xf5,0x73,0x0a,0xe2,0xed,0xf1,0x88,0xc0,0x56},
{0x17,0x6e,0xa8,0x10,0x11,0x3d,0x6d,0x33,0xfa,0xb2,0x75,0x0b,0x32,0x88,0xf3,0xd7,0x88,0x29,0x07,0x25,0x76,0x33,0x15,0xf9,0x87,0x8b,0x10,0x99,0x6b,0x4c,0x67,0x09,0x02,0x8f,0xf3,0x24,0xac,0x5f,0x1b,0x58,0xbd,0x0c,0xe3,0xba,0xfe,0xe9,0x0b,0xa9,0xf0,0x92,0xcf,0x8a,0x02,0x69,0x21,0x9a,0x8f,0x03,0x59,0x83,0xa4,0x7e,0x8b,0x03,0xf8,0x6f,0x31,0x99,0x21,0xf8,0x4e,0x9f,0x4f,0x8d,0xa7,0xea,0x82,0xd2,0x49,0x2f,0x74,0x31,0xef,0x5a,0xab,0xa5,0x71,0x09,0x65,0xeb,0x69,0x59,0x02,0x31,0x5e,0x6e},
{0xfb,0x93,0xe5,0x87,0xf5,0x62,0x6c,0xb1,0x71,0x3e,0x5d,0xca,0xde,0xed,0x99,0x49,0x6d,0x3e,0xcc,0x14,0xe0,0xc1,0x91,0xb4,0xa8,0xdb,0xa8,0x89,0x47,0x11,0xf5,0x08,0x22,0x62,0x06,0x63,0x0e,0xfb,0x04,0x33,0x3f,0xba,0xac,0x87,0x89,0x06,0x35,0xfb,0xa3,0x61,0x10,0x8c,0x77,0x24,0x19,0xbd,0x20,0x86,0x83,0xd1,0x43,0xad,0x58,0x30,0xd0,0x63,0x76,0xe5,0xfd,0x0f,0x3c,0x32,0x10,0xa6,0x2e,0xa2,0x38,0xdf,0xc3,0x05,0x9a,0x4f,0x99,0xac,0xbd,0x8a,0xc7,0xbd,0x99,0xdc,0xe3,0xef,0xa4,0x9f,0x54,0x26},
{0xd6,0xf9,0x6b,0x1e,0x46,0x5a,0x1d,0x74,0x81,0xa5,0x77,0x77,0xfc,0xb3,0x05,0x23,0xd9,0xd3,0x74,0x64,0xa2,0x74,0x55,0xd4,0xff,0xe0,0x01,0x64,0xdc,0xe1,0x26,0x19,0x6e,0x66,0x3f,0xaf,0x49,0x85,0x46,0xdb,0xa5,0x0e,0x4a,0xf1,0x04,0xcf,0x7f,0xd7,0x47,0x0c,0xba,0xa4,0xf7,0x3f,0xf2,0x3d,0x85,0x3c,0xce,0x32,0xe1,0xdf,0x10,0x3a,0xa0,0xce,0x17,0xea,0x8a,0x4e,0x7f,0xe0,0xfd,0xc1,0x1f,0x3a,0x46,0x15,0xd5,0x2f,0xf1,0xc0,0xf2,0x31,0xfd,0x22,0x53,0x17,0x15,0x5d,0x1e,0x86,0x1d,0xd0,0xa1,0x1f},
{0x32,0x98,0x59,0x7d,0x94,0x55,0x80,0xcc,0x20,0x55,0xf1,0x37,0xda,0x56,0x46,0x1e,0x20,0x93,0x05,0x4e,0x74,0xf7,0xf6,0x99,0x33,0xcf,0x75,0x6a,0xbc,0x63,0x35,0x77,0xab,0x94,0xdf,0xd1,0x00,0xac,0xdc,0x38,0xe9,0x0d,0x08,0xd1,0xdd,0x2b,0x71,0x2e,0x62,0xe2,0xd5,0xfd,0x3e,0xe9,0x13,0x7f,0xe5,0x01,0x9a,0xee,0x18,0xed,0xfc,0x73,0xb3,0x9c,0x13,0x63,0x08,0xe9,0xb1,0x06,0xcd,0x3e,0xa0,0xc5,0x67,0xda,0x93,0xa4,0x32,0x89,0x63,0xad,0xc8,0xce,0x77,0x8d,0x44,0x4f,0x86,0x1b,0x70,0x6b,0x42,0x1f},
{0x01,0x1c,0x91,0x41,0x4c,0x26,0xc9,0xef,0x25,0x2c,0xa2,0x17,0xb8,0xb7,0xa3,0xf1,0x47,0x14,0x0f,0xf3,0x6b,0xda,0x75,0x58,0x90,0xb0,0x31,0x1d,0x27,0xf5,0x1a,0x4e,0x52,0x25,0xa1,0x91,0xc8,0x35,0x7e,0xf1,0x76,0x9c,0x5e,0x57,0x53,0x81,0x6b,0xb7,0x3e,0x72,0x9b,0x0d,0x6f,0x40,0x83,0xfa,0x38,0xe4,0xa7,0x3f,0x1b,0xbb,0x76,0x0b,0x9b,0x93,0x92,0x7f,0xf9,0xc1,0xb8,0x08,0x6e,0xab,0x44,0xd4,0xcb,0x71,0x67,0xbe,0x17,0x80,0xbb,0x99,0x63,0x64,0xe5,0x22,0x55,0xa9,0x72,0xb7,0x1e,0xd6,0x6d,0x7b},
{0x92,0x3d,0xf3,0x50,0xe8,0xc1,0xad,0xb7,0xcf,0xd5,0x8c,0x60,0x4f,0xfa,0x98,0x79,0xdb,0x5b,0xfc,0x8d,0xbd,0x2d,0x96,0xad,0x4f,0x2f,0x1d,0xaf,0xce,0x9b,0x3e,0x70,0xc7,0xd2,0x01,0xab,0xf9,0xab,0x30,0x57,0x18,0x3b,0x14,0x40,0xdc,0x76,0xfb,0x16,0x81,0xb2,0xcb,0xa0,0x65,0xbe,0x6c,0x86,0xfe,0x6a,0xff,0x9b,0x65,0x9b,0xfa,0x53,0x55,0x54,0x88,0x94,0xe9,0xc8,0x14,0x6c,0xe5,0xd4,0xae,0x65,0x66,0x5d,0x3a,0x84,0xf1,0x5a,0xd6,0xbc,0x3e,0xb7,0x1b,0x18,0x50,0x1f,0xc6,0xc4,0xe5,0x93,0x8d,0x39},
{0xf3,0x48,0xe2,0x33,0x67,0xd1,0x4b,0x1c,0x5f,0x0a,0xbf,0x15,0x87,0x12,0x9e,0xbd,0x76,0x03,0x0b,0xa1,0xf0,0x8c,0x3f,0xd4,0x13,0x1b,0x19,0xdf,0x5d,0x9b,0xb0,0x53,0xf2,0xe3,0xe7,0xd2,0x60,0x7c,0x87,0xc3,0xb1,0x8b,0x82,0x30,0xa0,0xaa,0x34,0x3b,0x38,0xf1,0x9e,0x73,0xe7,0x26,0x3e,0x28,0x77,0x05,0xc3,0x02,0x90,0x9c,0x9c,0x69,0xcc,0xf1,0x46,0x59,0x23,0xa7,0x06,0xf3,0x7d,0xd9,0xe5,0xcc,0xb5,0x18,0x17,0x92,0x75,0xe9,0xb4,0x81,0x47,0xd2,0xcd,0x28,0x07,0xd9,0xcd,0x6f,0x0c,0xf3,0xca,0x51},
{0x0a,0xe0,0x74,0x76,0x42,0xa7,0x0b,0xa6,0xf3,0x7b,0x7a,0xa1,0x70,0x85,0x0e,0x63,0xcc,0x24,0x33,0xcf,0x3d,0x56,0x58,0x37,0xaa,0xfd,0x83,0x23,0x29,0xaa,0x04,0x55,0xc7,0x54,0xac,0x18,0x9a,0xf9,0x7a,0x73,0x0f,0xb3,0x1c,0xc5,0xdc,0x78,0x33,0x90,0xc7,0x0c,0xe1,0x4c,0x33,0xbc,0x89,0x2b,0x9a,0xe9,0xf8,0x89,0xc1,0x29,0xae,0x12,0xcf,0x01,0x0d,0x1f,0xcb,0xc0,0x9e,0xa9,0xae,0xf7,0x34,0x3a,0xcc,0xef,0xd1,0x0d,0x22,0x4e,0x9c,0xd0,0x21,0x75,0xca,0x55,0xea,0xa5,0xeb,0x58,0xe9,0x4f,0xd1,0x5f},
{0x2c,0xab,0x45,0x28,0xdf,0x2d,0xdc,0xb5,0x93,0xe9,0x7f,0x0a,0xb1,0x91,0x94,0x06,0x46,0xe3,0x02,0x40,0xd6,0xf3,0xaa,0x4d,0xd1,0x74,0x64,0x58,0x6e,0xf2,0x3f,0x09,0x8e,0xcb,0x93,0xbf,0x5e,0xfe,0x42,0x3c,0x5f,0x56,0xd4,0x36,0x51,0xa8,0xdf,0xbe,0xe8,0x20,0x42,0x88,0x9e,0x85,0xf0,0xe0,0x28,0xd1,0x25,0x07,0x96,0x3f,0xd7,0x7d,0x29,0x98,0x05,0x68,0xfe,0x24,0x0d,0xb1,0xe5,0x23,0xaf,0xdb,0x72,0x06,0x73,0x75,0x29,0xac,0x57,0xb4,0x3a,0x25,0x67,0x13,0xa4,0x70,0xb4,0x86,0xbc,0xbc,0x59,0x2f},
{0x5f,0x13,0x17,0x99,0x42,0x7d,0x84,0x83,0xd7,0x03,0x7d,0x56,0x1f,0x91,0x1b,0xad,0xd1,0xaa,0x77,0xbe,0xd9,0x48,0x77,0x7e,0x4a,0xaf,0x51,0x2e,0x2e,0xb4,0x58,0x54,0x01,0xc3,0x91,0xb6,0x60,0xd5,0x41,0x70,0x1e,0xe7,0xd7,0xad,0x3f,0x1b,0x20,0x85,0x85,0x55,0x33,0x11,0x63,0xe1,0xc2,0x16,0xb1,0x28,0x08,0x01,0x3d,0x5e,0xa5,0x2a,0x4f,0x44,0x07,0x0c,0xe6,0x92,0x51,0xed,0x10,0x1d,0x42,0x74,0x2d,0x4e,0xc5,0x42,0x64,0xc8,0xb5,0xfd,0x82,0x4c,0x2b,0x35,0x64,0x86,0x76,0x8a,0x4a,0x00,0xe9,0x13},
{0xdb,0xce,0x2f,0x83,0x45,0x88,0x9d,0x73,0x63,0xf8,0x6b,0xae,0xc9,0xd6,0x38,0xfa,0xf7,0xfe,0x4f,0xb7,0xca,0x0d,0xbc,0x32,0x5e,0xe4,0xbc,0x14,0x88,0x7e,0x93,0x73,0x7f,0x87,0x3b,0x19,0xc9,0x00,0x2e,0xbb,0x6b,0x50,0xdc,0xe0,0x90,0xa8,0xe3,0xec,0x9f,0x64,0xde,0x36,0xc0,0xb7,0xf3,0xec,0x1a,0x9e,0xde,0x98,0x08,0x04,0x46,0x5f,0x8d,0xf4,0x7b,0x29,0x16,0x71,0x03,0xb9,0x34,0x68,0xf0,0xd4,0x22,0x3b,0xd1,0xa9,0xc6,0xbd,0x96,0x46,0x57,0x15,0x97,0xe1,0x35,0xe8,0xd5,0x91,0xe8,0xa4,0xf8,0x2c},
{0x67,0x0f,0x11,0x07,0x87,0xfd,0x93,0x6d,0x49,0xb5,0x38,0x7c,0xd3,0x09,0x4c,0xdd,0x86,0x6a,0x73,0xc2,0x4c,0x6a,0xb1,0x7c,0x09,0x2a,0x25,0x58,0x6e,0xbd,0x49,0x20,0xa2,0x6b,0xd0,0x17,0x7e,0x48,0xb5,0x2c,0x6b,0x19,0x50,0x39,0x1c,0x38,0xd2,0x24,0x30,0x8a,0x97,0x85,0x81,0x9c,0x65,0xd7,0xf6,0xa4,0xd6,0x91,0x28,0x7f,0x6f,0x7a,0x49,0xef,0x9a,0x6a,0x8d,0xfd,0x09,0x7d,0x0b,0xb9,0x3d,0x5b,0xbe,0x60,0xee,0xf0,0xd4,0xbf,0x9e,0x51,0x2c,0xb5,0x21,0x4c,0x1d,0x94,0x45,0xc5,0xdf,0xaa,0x11,0x60},
{0x3c,0xf8,0x95,0xcf,0x6d,0x92,0x67,0x5f,0x71,0x90,0x28,0x71,0x61,0x85,0x7e,0x7c,0x5b,0x7a,0x8f,0x99,0xf3,0xe7,0xa1,0xd6,0xe0,0xf9,0x62,0x0b,0x1b,0xcc,0xc5,0x6f,0x90,0xf8,0xcb,0x02,0xc8,0xd0,0xde,0x63,0xaa,0x6a,0xff,0x0d,0xca,0x98,0xd0,0xfb,0x99,0xed,0xb6,0xb9,0xfd,0x0a,0x4d,0x62,0x1e,0x0b,0x34,0x79,0xb7,0x18,0xce,0x69,0xcb,0x79,0x98,0xb2,0x28,0x55,0xef,0xd1,0x92,0x90,0x7e,0xd4,0x3c,0xae,0x1a,0xdd,0x52,0x23,0x9f,0x18,0x42,0x04,0x7e,0x12,0xf1,0x01,0x71,0xe5,0x3a,0x6b,0x59,0x15},
{0xa2,0x79,0x91,0x3f,0xd2,0x39,0x27,0x46,0xcf,0xdd,0xd6,0x97,0x31,0x12,0x83,0xff,0x8a,0x14,0xf2,0x53,0xb5,0xde,0x07,0x13,0xda,0x4d,0x5f,0x7b,0x68,0x37,0x22,0x0d,0xca,0x24,0x51,0x7e,0x16,0x31,0xff,0x09,0xdf,0x45,0xc7,0xd9,0x8b,0x15,0xe4,0x0b,0xe5,0x56,0xf5,0x7e,0x22,0x7d,0x2b,0x29,0x38,0xd1,0xb6,0xaf,0x41,0xe2,0xa4,0x3a,0xf5,0x05,0x33,0x2a,0xbf,0x38,0xc1,0x2c,0xc3,0x26,0xe9,0xa2,0x8f,0x3f,0x58,0x48,0xeb,0xd2,0x49,0x55,0xa2,0xb1,0x3a,0x08,0x6c,0xa3,0x87,0x46,0x6e,0xaa,0xfc,0x32},
{0xf5,0x9a,0x7d,0xc5,0x8d,0x6e,0xc5,0x7b,0xf2,0xbd,0xf0,0x9d,0xed,0xd2,0x0b,0x3e,0xa3,0xe4,0xef,0x22,0xde,0x14,0xc0,0xaa,0x5c,0x6a,0xbd,0xfe,0xce,0xe9,0x27,0x46,0xdf,0xcc,0x87,0x27,0x73,0xa4,0x07,0x32,0xf8,0xe3,0x13,0xf2,0x08,0x19,0xe3,0x17,0x4e,0x96,0x0d,0xf6,0xd7,0xec,0xb2,0xd5,0xe9,0x0b,0x60,0xc2,0x36,0x63,0x6f,0x74,0x1c,0x97,0x6c,0xab,0x45,0xf3,0x4a,0x3f,0x1f,0x73,0x43,0x99,0x72,0xeb,0x88,0xe2,0x6d,0x18,0x44,0x03,0x8a,0x6a,0x59,0x33,0x93,0x62,0xd6,0x7e,0x00,0x17,0x49,0x7b},
{0x64,0xb0,0x84,0xab,0x5c,0xfb,0x85,0x2d,0x14,0xbc,0xf3,0x89,0xd2,0x10,0x78,0x49,0x0c,0xce,0x15,0x7b,0x44,0xdc,0x6a,0x47,0x7b,0xfd,0x44,0xf8,0x76,0xa3,0x2b,0x12,0xdd,0xa2,0x53,0xdd,0x28,0x1b,0x34,0x54,0x3f,0xfc,0x42,0xdf,0x5b,0x90,0x17,0xaa,0xf4,0xf8,0xd2,0x4d,0xd9,0x92,0xf5,0x0f,0x7d,0xd3,0x8c,0xe0,0x0f,0x62,0x03,0x1d,0x54,0xe5,0xb4,0xa2,0xcd,0x32,0x02,0xc2,0x7f,0x18,0x5d,0x11,0x42,0xfd,0xd0,0x9e,0xd9,0x79,0xd4,0x7d,0xbe,0xb4,0xab,0x2e,0x4c,0xec,0x68,0x2b,0xf5,0x0b,0xc7,0x02},
{0xbb,0x2f,0x0b,0x5d,0x4b,0xec,0x87,0xa2,0xca,0x82,0x48,0x07,0x90,0x57,0x5c,0x41,0x5c,0x81,0xd0,0xc1,0x1e,0xa6,0x44,0xe0,0xe0,0xf5,0x9e,0x40,0x0a,0x4f,0x33,0x26,0xe1,0x72,0x8d,0x45,0xbf,0x32,0xe5,0xac,0xb5,0x3c,0xb7,0x7c,0xe0,0x68,0xe7,0x5b,0xe7,0xbd,0x8b,0xee,0x94,0x7d,0xcf,0x56,0x03,0x3a,0xb4,0xfe,0xe3,0x97,0x06,0x6b,0xc0,0xa3,0x62,0xdf,0x4a,0xf0,0xc8,0xb6,0x5d,0xa4,0x6d,0x07,0xef,0x00,0xf0,0x3e,0xa9,0xd2,0xf0,0x49,0x58,0xb9,0x9c,0x9c,0xae,0x2f,0x1b,0x44,0x43,0x7f,0xc3,0x1c},
{0x4f,0x32,0xc7,0x5c,0x5a,0x56,0x8f,0x50,0x22,0xa9,0x06,0xe5,0xc0,0xc4,0x61,0xd0,0x19,0xac,0x45,0x5c,0xdb,0xab,0x18,0xfb,0x4a,0x31,0x80,0x03,0xc1,0x09,0x68,0x6c,0xb9,0xae,0xce,0xc9,0xf1,0x56,0x66,0xd7,0x6a,0x65,0xe5,0x18,0xf8,0x15,0x5b,0x1c,0x34,0x23,0x4c,0x84,0x32,0x28,0xe7,0x26,0x38,0x68,0x19,0x2f,0x77,0x6f,0x34,0x3a,0xc8,0x6a,0xda,0xe2,0x12,0x51,0xd5,0xd2,0xed,0x51,0xe8,0xb1,0x31,0x03,0xbd,0xe9,0x62,0x72,0xc6,0x8e,0xdd,0x46,0x07,0x96,0xd0,0xc5,0xf7,0x6e,0x9f,0x1b,0x91,0x05},
{0xbb,0x0e,0xdf,0xf5,0x83,0x99,0x33,0xc1,0xac,0x4c,0x2c,0x51,0x8f,0x75,0xf3,0xc0,0xe1,0x98,0xb3,0x0b,0x0a,0x13,0xf1,0x2c,0x62,0x0c,0x27,0xaa,0xf9,0xec,0x3c,0x6b,0xef,0xea,0x2e,0x51,0xf3,0xac,0x49,0x53,0x49,0xcb,0xc1,0x1c,0xd3,0x41,0xc1,0x20,0x8d,0x68,0x9a,0xa9,0x07,0x0c,0x18,0x24,0x17,0x2d,0x4b,0xc6,0xd1,0xf9,0x5e,0x55,0x08,0xbd,0x73,0x3b,0xba,0x70,0xa7,0x36,0x0c,0xbf,0xaf,0xa3,0x08,0xef,0x4a,0x62,0xf2,0x46,0x09,0xb4,0x98,0xff,0x37,0x57,0x9d,0x74,0x81,0x33,0xe1,0x4d,0x5f,0x67},
{0xfc,0x82,0x17,0x6b,0x03,0x52,0x2c,0x0e,0xb4,0x83,0xad,0x6c,0x81,0x6c,0x81,0x64,0x3e,0x07,0x64,0x69,0xd9,0xbd,0xdc,0xd0,0x20,0xc5,0x64,0x01,0xf7,0x9d,0xd9,0x13,0x1d,0xb3,0xda,0x3b,0xd9,0xf6,0x2f,0xa1,0xfe,0x2d,0x65,0x9d,0x0f,0xd8,0x25,0x07,0x87,0x94,0xbe,0x9a,0xf3,0x4f,0x9c,0x01,0x43,0x3c,0xcd,0x82,0xb8,0x50,0xf4,0x60,0xca,0xc0,0xe5,0x21,0xc3,0x5e,0x4b,0x01,0xa2,0xbf,0x19,0xd7,0xc9,0x69,0xcb,0x4f,0xa0,0x23,0x00,0x75,0x18,0x1c,0x5f,0x4e,0x80,0xac,0xed,0x55,0x9e,0xde,0x06,0x1c},
{0xe2,0xc4,0x3e,0xa3,0xd6,0x7a,0x0f,0x99,0x8e,0xe0,0x2e,0xbe,0x38,0xf9,0x08,0x66,0x15,0x45,0x28,0x63,0xc5,0x43,0xa1,0x9c,0x0d,0xb6,0x2d,0xec,0x1f,0x8a,0xf3,0x4c,0xaa,0x69,0x6d,0xff,0x40,0x2b,0xd5,0xff,0xbb,0x49,0x40,0xdc,0x18,0x0b,0x53,0x34,0x97,0x98,0x4d,0xa3,0x2f,0x5c,0x4a,0x5e,0x2d,0xba,0x32,0x7d,0x8e,0x6f,0x09,0x78,0xe7,0x5c,0xfa,0x0d,0x65,0xaa,0xaa,0xa0,0x8c,0x47,0xb5,0x48,0x2a,0x9e,0xc4,0xf9,0x5b,0x72,0x03,0x70,0x7d,0xcc,0x09,0x4f,0xbe,0x1a,0x09,0x26,0x3a,0xad,0x3c,0x37},
{0x7c,0xf5,0xc9,0x82,0x4d,0x63,0x94,0xb2,0x36,0x45,0x93,0x24,0xe1,0xfd,0xcb,0x1f,0x5a,0xdb,0x8c,0x41,0xb3,0x4d,0x9c,0x9e,0xfc,0x19,0x44,0x45,0xd9,0xf3,0x40,0x00,0xad,0xbb,0xdd,0x89,0xfb,0xa8,0xbe,0xf1,0xcb,0xae,0xae,0x61,0xbc,0x2c,0xcb,0x3b,0x9d,0x8d,0x9b,0x1f,0xbb,0xa7,0x58,0x8f,0x86,0xa6,0x12,0x51,0xda,0x7e,0x54,0x21,0xd3,0x86,0x59,0xfd,0x39,0xe9,0xfd,0xde,0x0c,0x38,0x0a,0x51,0x89,0x2c,0x27,0xf4,0xb9,0x19,0x31,0xbb,0x07,0xa4,0x2b,0xb7,0xf4,0x4d,0x25,0x4a,0x33,0x0a,0x55,0x63},
{0x37,0xcf,0x69,0xb5,0xed,0xd6,0x07,0x65,0xe1,0x2e,0xa5,0x0c,0xb0,0x29,0x84,0x17,0x5d,0xd6,0x6b,0xeb,0x90,0x00,0x7c,0xea,0x51,0x8f,0xf7,0xda,0xc7,0x62,0xea,0x3e,0x49,0x7b,0x54,0x72,0x45,0x58,0xba,0x9b,0xe0,0x08,0xc4,0xe2,0xfa,0xc6,0x05,0xf3,0x8d,0xf1,0x34,0xc7,0x69,0xfa,0xe8,0x60,0x7a,0x76,0x7d,0xaa,0xaf,0x2b,0xa9,0x39,0x4e,0x27,0x93,0xe6,0x13,0xc7,0x24,0x9d,0x75,0xd3,0xdb,0x68,0x77,0x85,0x63,0x5f,0x9a,0xb3,0x8a,0xeb,0x60,0x55,0x52,0x70,0xcd,0xc4,0xc9,0x65,0x06,0x6a,0x43,0x68},
{0x27,0x3f,0x2f,0x20,0xe8,0x35,0x02,0xbc,0xb0,0x75,0xf9,0x64,0xe2,0x00,0x5c,0xc7,0x16,0x24,0x8c,0xa3,0xd5,0xe9,0xa4,0x91,0xf9,0x89,0xb7,0x8a,0xf6,0xe7,0xb6,0x17,0x7c,0x10,0x20,0xe8,0x17,0xd3,0x56,0x1e,0x65,0xe9,0x0a,0x84,0x44,0x68,0x26,0xc5,0x7a,0xfc,0x0f,0x32,0xc6,0xa1,0xe0,0xc1,0x72,0x14,0x61,0x91,0x9c,0x66,0x73,0x53,0x57,0x52,0x0e,0x9a,0xab,0x14,0x28,0x5d,0xfc,0xb3,0xca,0xc9,0x84,0x20,0x8f,0x90,0xca,0x1e,0x2d,0x5b,0x88,0xf5,0xca,0xaf,0x11,0x7d,0xf8,0x78,0xa6,0xb5,0xb4,0x1c},
{0x6c,0xfc,0x4a,0x39,0x6b,0xc0,0x64,0xb6,0xb1,0x5f,0xda,0x98,0x24,0xde,0x88,0x0c,0x34,0xd8,0xca,0x4b,0x16,0x03,0x8d,0x4f,0xa2,0x34,0x74,0xde,0x78,0xca,0x0b,0x33,0xe7,0x07,0xa0,0xa2,0x62,0xaa,0x74,0x6b,0xb1,0xc7,0x71,0xf0,0xb0,0xe0,0x11,0xf3,0x23,0xe2,0x0b,0x00,0x38,0xe4,0x07,0x57,0xac,0x6e,0xef,0x82,0x2d,0xfd,0xc0,0x2d,0x4e,0x74,0x19,0x11,0x84,0xff,0x2e,0x98,0x24,0x47,0x07,0x2b,0x96,0x5e,0x69,0xf9,0xfb,0x53,0xc9,0xbf,0x4f,0xc1,0x8a,0xc5,0xf5,0x1c,0x9f,0x36,0x1b,0xbe,0x31,0x3c},
{0xee,0x8a,0x94,0x08,0x4d,0x86,0xf4,0xb0,0x6f,0x1c,0xba,0x91,0xee,0x19,0xdc,0x07,0x58,0xa1,0xac,0xa6,0xae,0xcd,0x75,0x79,0xbb,0xd4,0x62,0x42,0x13,0x61,0x0b,0x33,0x72,0x42,0xcb,0xf9,0x93,0xbc,0x68,0xc1,0x98,0xdb,0xce,0xc7,0x1f,0x71,0xb8,0xae,0x7a,0x8d,0xac,0x34,0xaa,0x52,0x0e,0x7f,0xbb,0x55,0x7d,0x7e,0x09,0xc1,0xce,0x41,0x8a,0x80,0x6d,0xa2,0xd7,0x19,0x96,0xf7,0x6d,0x15,0x9e,0x1d,0x9e,0xd4,0x1f,0xbb,0x27,0xdf,0xa1,0xdb,0x6c,0xc3,0xd7,0x73,0x7d,0x77,0x28,0x1f,0xd9,0x4c,0xb4,0x26},
{0x75,0x74,0x38,0x8f,0x47,0x48,0xf0,0x51,0x3c,0xcb,0xbe,0x9c,0xf4,0xbc,0x5d,0xb2,0x55,0x20,0x9f,0xd9,0x44,0x12,0xab,0x9a,0xd6,0xa5,0x10,0x1c,0x6c,0x9e,0x70,0x2c,0x83,0x03,0x73,0x62,0x93,0xf2,0xb7,0xe1,0x2c,0x8a,0xca,0xeb,0xff,0x79,0x52,0x4b,0x14,0x13,0xd4,0xbf,0x8a,0x77,0xfc,0xda,0x0f,0x61,0x72,0x9c,0x14,0x10,0xeb,0x7d,0x7a,0xee,0x66,0x87,0x6a,0xaf,0x62,0xcb,0x0e,0xcd,0x53,0x55,0x04,0xec,0xcb,0x66,0xb5,0xe4,0x0b,0x0f,0x38,0x01,0x80,0x58,0xea,0xe2,0x2c,0xf6,0x9f,0x8e,0xe6,0x08},
{0xad,0x30,0xc1,0x4b,0x0a,0x50,0xad,0x34,0x9c,0xd4,0x0b,0x3d,0x49,0xdb,0x38,0x8d,0xbe,0x89,0x0a,0x50,0x98,0x3d,0x5c,0xa2,0x09,0x3b,0xba,0xee,0x87,0x3f,0x1f,0x2f,0xf9,0xf2,0xb8,0x0a,0xd5,0x09,0x2d,0x2f,0xdf,0x23,0x59,0xc5,0x8d,0x21,0xb9,0xac,0xb9,0x6c,0x76,0x73,0x26,0x34,0x8f,0x4a,0xf5,0x19,0xf7,0x38,0xd7,0x3b,0xb1,0x4c,0x4a,0xb6,0x15,0xe5,0x75,0x8c,0x84,0xf7,0x38,0x90,0x4a,0xdb,0xba,0x01,0x95,0xa5,0x50,0x1b,0x75,0x3f,0x3f,0x31,0x0d,0xc2,0xe8,0x2e,0xae,0xc0,0x53,0xe3,0xa1,0x19},
{0xc3,0x05,0xfa,0xba,0x60,0x75,0x1c,0x7d,0x61,0x5e,0xe5,0xc6,0xa0,0xa0,0xe1,0xb3,0x73,0x64,0xd6,0xc0,0x18,0x97,0x52,0xe3,0x86,0x34,0x0c,0xc2,0x11,0x6b,0x54,0x41,0xbd,0xbd,0x96,0xd5,0xcd,0x72,0x21,0xb4,0x40,0xfc,0xee,0x98,0x43,0x45,0xe0,0x93,0xb5,0x09,0x41,0xb4,0x47,0x53,0xb1,0x9f,0x34,0xae,0x66,0x02,0x99,0xd3,0x6b,0x73,0xb4,0xb3,0x34,0x93,0x50,0x2d,0x53,0x85,0x73,0x65,0x81,0x60,0x4b,0x11,0xfd,0x46,0x75,0x83,0x5c,0x42,0x30,0x5f,0x5f,0xcc,0x5c,0xab,0x7f,0xb8,0xa2,0x95,0x22,0x41},
{0xe9,0xd6,0x7e,0xf5,0x88,0x9b,0xc9,0x19,0x25,0xc8,0xf8,0x6d,0x26,0xcb,0x93,0x53,0x73,0xd2,0x0a,0xb3,0x13,0x32,0xee,0x5c,0x34,0x2e,0x2d,0xb5,0xeb,0x53,0xe1,0x14,0xc6,0xea,0x93,0xe2,0x61,0x52,0x65,0x2e,0xdb,0xac,0x33,0x21,0x03,0x92,0x5a,0x84,0x6b,0x99,0x00,0x79,0xcb,0x75,0x09,0x46,0x80,0xdd,0x5a,0x19,0x8d,0xbb,0x60,0x07,0x8a,0x81,0xe6,0xcd,0x17,0x1a,0x3e,0x41,0x84,0xa0,0x69,0xed,0xa9,0x6d,0x15,0x57,0xb1,0xcc,0xca,0x46,0x8f,0x26,0xbf,0x2c,0xf2,0xc5,0x3a,0xc3,0x9b,0xbe,0x34,0x6b},
{0xb2,0xc0,0x78,0x3a,0x64,0x2f,0xdf,0xf3,0x7c,0x02,0x2e,0xf2,0x1e,0x97,0x3e,0x4c,0xa3,0xb5,0xc1,0x49,0x5e,0x1c,0x7d,0xec,0x2d,0xdd,0x22,0x09,0x8f,0xc1,0x12,0x20,0xd3,0xf2,0x71,0x65,0x65,0x69,0xfc,0x11,0x7a,0x73,0x0e,0x53,0x45,0xe8,0xc9,0xc6,0x35,0x50,0xfe,0xd4,0xa2,0xe7,0x3a,0xe3,0x0b,0xd3,0x6d,0x2e,0xb6,0xc7,0xb9,0x01,0x29,0x9d,0xc8,0x5a,0xe5,0x55,0x0b,0x88,0x63,0xa7,0xa0,0x45,0x1f,0x24,0x83,0x14,0x1f,0x6c,0xe7,0xc2,0xdf,0xef,0x36,0x3d,0xe8,0xad,0x4b,0x4e,0x78,0x5b,0xaf,0x08},
{0x33,0x25,0x1f,0x88,0xdc,0x99,0x34,0x28,0xb6,0x23,0x93,0x77,0xda,0x25,0x05,0x9d,0xf4,0x41,0x34,0x67,0xfb,0xdd,0x7a,0x89,0x8d,0x16,0x3a,0x16,0x71,0x9d,0xb7,0x32,0x4b,0x2c,0xcc,0x89,0xd2,0x14,0x73,0xe2,0x8d,0x17,0x87,0xa2,0x11,0xbd,0xe4,0x4b,0xce,0x64,0x33,0xfa,0xd6,0x28,0xd5,0x18,0x6e,0x82,0xd9,0xaf,0xd5,0xc1,0x23,0x64,0x6a,0xb3,0xfc,0xed,0xd9,0xf8,0x85,0xcc,0xf9,0xe5,0x46,0x37,0x8f,0xc2,0xbc,0x22,0xcd,0xd3,0xe5,0xf9,0x38,0xe3,0x9d,0xe4,0xcc,0x2d,0x3e,0xc1,0xfb,0x5e,0x0a,0x48},
{0x71,0x20,0x62,0x01,0x0b,0xe7,0x51,0x0b,0xc5,0xaf,0x1d,0x8b,0xcf,0x05,0xb5,0x06,0xcd,0xab,0x5a,0xef,0x61,0xb0,0x6b,0x2c,0x31,0xbf,0xb7,0x0c,0x60,0x27,0xaa,0x47,0x1f,0x22,0xce,0x42,0xe4,0x4c,0x61,0xb6,0x28,0x39,0x05,0x4c,0xcc,0x9d,0x19,0x6e,0x03,0xbe,0x1c,0xdc,0xa4,0xb4,0x3f,0x66,0x06,0x8e,0x1c,0x69,0x47,0x1d,0xb3,0x24,0xc3,0xf8,0x15,0xc0,0xed,0x1e,0x54,0x2a,0x7c,0x3f,0x69,0x7c,0x7e,0xfe,0xa4,0x11,0xd6,0x78,0xa2,0x4e,0x13,0x66,0xaf,0xf0,0x94,0xa0,0xdd,0x14,0x5d,0x58,0x5b,0x54},
{0x0f,0x3a,0xd4,0xa0,0x5e,0x27,0xbf,0x67,0xbe,0xee,0x9b,0x08,0x34,0x8e,0xe6,0xad,0x2e,0xe7,0x79,0xd4,0x4c,0x13,0x89,0x42,0x54,0x54,0xba,0x32,0xc3,0xf9,0x62,0x0f,0xe1,0x21,0xb3,0xe3,0xd0,0xe4,0x04,0x62,0x95,0x1e,0xff,0x28,0x7a,0x63,0xaa,0x3b,0x9e,0xbd,0x99,0x5b,0xfd,0xcf,0x0c,0x0b,0x71,0xd0,0xc8,0x64,0x3e,0xdc,0x22,0x4d,0x39,0x5f,0x3b,0xd6,0x89,0x65,0xb4,0xfc,0x61,0xcf,0xcb,0x57,0x3f,0x6a,0xae,0x5c,0x05,0xfa,0x3a,0x95,0xd2,0xc2,0xba,0xfe,0x36,0x14,0x37,0x36,0x1a,0xa0,0x0f,0x1c},
{0xff,0x3d,0x94,0x22,0xb6,0x04,0xc6,0xd2,0xa0,0xb3,0xcf,0x44,0xce,0xbe,0x8c,0xbc,0x78,0x86,0x80,0x97,0xf3,0x4f,0x25,0x5d,0xbf,0xa6,0x1c,0x3b,0x4f,0x61,0xa3,0x0f,0x50,0x6a,0x93,0x8c,0x0e,0x2b,0x08,0x69,0xb6,0xc5,0xda,0xc1,0x35,0xa0,0xc9,0xf9,0x34,0xb6,0xdf,0xc4,0x54,0x3e,0xb7,0x6f,0x40,0xc1,0x2b,0x1d,0x9b,0x41,0x05,0x40,0xf0,0x82,0xbe,0xb9,0xbd,0xfe,0x03,0xa0,0x90,0xac,0x44,0x3a,0xaf,0xc1,0x89,0x20,0x8e,0xfa,0x54,0x19,0x91,0x9f,0x49,0xf8,0x42,0xab,0x40,0xef,0x8a,0x21,0xba,0x1f},
{0x3e,0xf5,0xc8,0xfa,0x48,0x94,0x54,0xab,0x41,0x37,0xa6,0x7b,0x9a,0xe8,0xf6,0x81,0x01,0x5e,0x2b,0x6c,0x7d,0x6c,0xfd,0x74,0x42,0x6e,0xc8,0xa8,0xca,0x3a,0x2e,0x39,0x94,0x01,0x7b,0x3e,0x04,0x57,0x3e,0x4f,0x7f,0xaf,0xda,0x08,0xee,0x3e,0x1d,0xa8,0xf1,0xde,0xdc,0x99,0xab,0xc6,0x39,0xc8,0xd5,0x61,0x77,0xff,0x13,0x5d,0x53,0x6c,0xaf,0x35,0x8a,0x3e,0xe9,0x34,0xbd,0x4c,0x16,0xe8,0x87,0x58,0x44,0x81,0x07,0x2e,0xab,0xb0,0x9a,0xf2,0x76,0x9c,0x31,0x19,0x3b,0xc1,0x0a,0xd5,0xe4,0x7f,0xe1,0x25},
{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}
};

View File

@@ -1,275 +0,0 @@
/*
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;
}

View File

@@ -1,364 +0,0 @@
/*
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);
}
}

View File

@@ -1,390 +0,0 @@
/*
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);
}
}

View File

@@ -1,103 +0,0 @@
/* 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

View File

@@ -1,136 +0,0 @@
#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))
#undef ALIGN
#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>

View File

@@ -1,115 +0,0 @@
/*
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

View File

@@ -1,11 +0,0 @@
/*
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);
*/

View File

@@ -1,219 +0,0 @@
#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

View File

@@ -1,8 +0,0 @@
/*
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
*/

View File

@@ -1,91 +0,0 @@
#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_CUSTOMRNG)
#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

View File

@@ -1,150 +0,0 @@
/*
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);
}

View File

@@ -1,30 +0,0 @@
#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

View File

@@ -1,173 +0,0 @@
This code fuzzes ed25519-donna (and optionally ed25519-donna-sse2) against the ref10 implementations of
[curve25519](https://github.com/floodyberry/supercop/tree/master/crypto_scalarmult/curve25519/ref10) and
[ed25519](https://github.com/floodyberry/supercop/tree/master/crypto_sign/ed25519/ref10).
Curve25519 tests that generating a public key from a secret key
# Building
## *nix + PHP
`php build-nix.php (required parameters) (optional parameters)`
Required parameters:
* `--function=[curve25519,ed25519]`
* `--bits=[32,64]`
Optional parameters:
* `--with-sse2`
Also fuzz against ed25519-donna-sse2
* `--with-openssl`
Build with OpenSSL's SHA-512.
Default: Reference SHA-512 implementation (slow!)
* `--compiler=[gcc,clang,icc]`
Default: gcc
* `--no-asm`
Do not use platform specific assembler
example:
php build-nix.php --bits=64 --function=ed25519 --with-sse2 --compiler=icc
## Windows
Create a project with access to the ed25519 files.
If you are not using OpenSSL, add the `ED25519_REFHASH` define to the projects
"Properties/Preprocessor/Preprocessor Definitions" option
Add the following files to the project:
* `fuzz/curve25519-ref10.c`
* `fuzz/ed25519-ref10.c`
* `fuzz/ed25519-donna.c`
* `fuzz/ed25519-donna-sse2.c` (optional)
* `fuzz-[curve25519/ed25519].c` (depending on which you want to fuzz)
If you are also fuzzing against ed25519-donna-sse2, add the `ED25519_SSE2` define for `fuzz-[curve25519/ed25519].c` under
its "Properties/Preprocessor/Preprocessor Definitions" option.
# Running
If everything agrees, the program will only output occasional status dots (every 0x1000 passes)
and a 64bit progress count (every 0x20000 passes):
fuzzing: ref10 curved25519 curved25519-sse2
................................ [0000000000020000]
................................ [0000000000040000]
................................ [0000000000060000]
................................ [0000000000080000]
................................ [00000000000a0000]
................................ [00000000000c0000]
If any of the implementations do not agree with the ref10 implementation, the program will dump
the random data that was used, the data generated by the ref10 implementation, and diffs of the
ed25519-donna data against the ref10 data.
## Example errors
These are example error dumps (with intentionally introduced errors).
### Ed25519
Random data:
* sk, or Secret Key
* m, or Message
Generated data:
* pk, or Public Key
* sig, or Signature
* valid, or if the signature of the message is valid with the public key
Dump:
sk:
0x3b,0xb7,0x17,0x7a,0x66,0xdc,0xb7,0x9a,0x90,0x25,0x07,0x99,0x96,0xf3,0x92,0xef,
0x78,0xf8,0xad,0x6c,0x35,0x87,0x81,0x67,0x03,0xe6,0x95,0xba,0x06,0x18,0x7c,0x9c,
m:
0x7c,0x8d,0x3d,0xe1,0x92,0xee,0x7a,0xb8,0x4d,0xc9,0xfb,0x02,0x34,0x1e,0x5a,0x91,
0xee,0x01,0xa6,0xb8,0xab,0x37,0x3f,0x3d,0x6d,0xa2,0x47,0xe3,0x27,0x93,0x7c,0xb7,
0x77,0x07,0xb6,0x88,0x41,0x22,0xf3,0x3f,0xce,0xcb,0x6b,0x3e,0x2b,0x23,0x68,0x7f,
0x5b,0xb9,0xda,0x04,0xbb,0xae,0x42,0x50,0xf5,0xe9,0xc5,0x11,0xbd,0x52,0x76,0x98,
0xf1,0x87,0x09,0xb9,0x89,0x0a,0x52,0x69,0x01,0xce,0xe0,0x4a,0xa6,0x46,0x5a,0xe1,
0x63,0x14,0xe0,0x81,0x52,0xec,0xcd,0xcf,0x70,0x54,0x7d,0xa3,0x49,0x8b,0xf0,0x89,
0x70,0x07,0x12,0x2a,0xd9,0xaa,0x16,0x01,0xb2,0x16,0x3a,0xbb,0xfc,0xfa,0x13,0x5b,
0x69,0x83,0x92,0x70,0x95,0x76,0xa0,0x8e,0x16,0x79,0xcc,0xaa,0xb5,0x7c,0xf8,0x7a,
ref10:
pk:
0x71,0xb0,0x5e,0x62,0x1b,0xe3,0xe7,0x36,0x91,0x8b,0xc0,0x13,0x36,0x0c,0xc9,0x04,
0x16,0xf5,0xff,0x48,0x0c,0x83,0x6b,0x88,0x53,0xa2,0xc6,0x0f,0xf7,0xac,0x42,0x04,
sig:
0x3e,0x05,0xc5,0x37,0x16,0x0b,0x29,0x30,0x89,0xa3,0xe7,0x83,0x08,0x16,0xdd,0x96,
0x02,0xfa,0x0d,0x44,0x2c,0x43,0xaa,0x80,0x93,0x04,0x58,0x22,0x09,0xbf,0x11,0xa5,
0xcc,0xa5,0x3c,0x9f,0xa0,0xa4,0x64,0x5a,0x4a,0xdb,0x20,0xfb,0xc7,0x9b,0xfd,0x3f,
0x08,0xae,0xc4,0x3c,0x1e,0xd8,0xb6,0xb4,0xd2,0x6d,0x80,0x92,0xcb,0x71,0xf3,0x02,
valid: yes
ed25519-donna:
pk diff:
____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,
____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,
sig diff:
0x2c,0xb9,0x25,0x14,0xd0,0x94,0xeb,0xfe,0x46,0x02,0xc2,0xe8,0xa3,0xeb,0xbf,0xb5,
0x72,0x84,0xbf,0xc1,0x8a,0x32,0x30,0x99,0xf7,0x58,0xfe,0x06,0xa8,0xdc,0xdc,0xab,
0xb5,0x57,0x03,0x33,0x87,0xce,0x54,0x55,0x6a,0x69,0x8a,0xc4,0xb7,0x2a,0xed,0x97,
0xb4,0x68,0xe7,0x52,0x7a,0x07,0x55,0x3b,0xa2,0x94,0xd6,0x5e,0xa1,0x61,0x80,0x08,
valid: no
In this case, the generated public key matches, but the generated signature is completely
different and does not validate.
### Curve25519
Random data:
* sk, or Secret Key
Generated data:
* pk, or Public Key
Dump:
sk:
0x44,0xec,0x0b,0x0e,0xa2,0x0e,0x9c,0x5b,0x8c,0xce,0x7b,0x1d,0x68,0xae,0x0f,0x9e,
0x81,0xe2,0x04,0x76,0xda,0x87,0xa4,0x9e,0xc9,0x4f,0x3b,0xf9,0xc3,0x89,0x63,0x70,
ref10:
0x24,0x55,0x55,0xc0,0xf9,0x80,0xaf,0x02,0x43,0xee,0x8c,0x7f,0xc1,0xad,0x90,0x95,
0x57,0x91,0x14,0x2e,0xf2,0x14,0x22,0x80,0xdd,0x4e,0x3c,0x85,0x71,0x84,0x8c,0x62,
curved25519 diff:
0x12,0xd1,0x61,0x2b,0x16,0xb3,0xd8,0x29,0xf8,0xa3,0xba,0x70,0x4e,0x49,0x4f,0x43,
0xa1,0x3c,0x6b,0x42,0x11,0x61,0xcc,0x30,0x87,0x73,0x46,0xfb,0x85,0xc7,0x9a,0x35,
curved25519-sse2 diff:
____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,
____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,____,
In this case, curved25519 is totally wrong, while curved25519-sse2 matches the reference
implementation.

View File

@@ -1,134 +0,0 @@
<?php
function echoln($str) {
echo $str;
echo "\n";
}
function usage($reason) {
echoln("Usage: php build-nix.php [flags]");
echoln("Flags in parantheses are optional");
echoln("");
echoln(" --bits=[32,64]");
echoln(" --function=[curve25519,ed25519]");
echoln(" (--compiler=[*gcc,clang,icc]) which compiler to use, gcc is default");
echoln(" (--with-openssl) use openssl for SHA512");
echoln(" (--with-sse2) additionally fuzz against SSE2");
echoln(" (--no-asm) don't use platform specific asm");
echoln("");
if ($reason)
echoln($reason);
}
function cleanup() {
system("rm -f *.o");
}
function runcmd($desc, $cmd) {
echoln($desc);
$ret = 0;
system($cmd, $ret);
if ($ret) {
cleanup();
exit;
}
}
class argument {
var $set, $value;
}
class multiargument extends argument {
function multiargument($flag, $legal_values) {
global $argc, $argv;
$this->set = false;
$map = array();
foreach($legal_values as $value)
$map[$value] = true;
for ($i = 1; $i < $argc; $i++) {
if (!preg_match("!--".$flag."=(.*)!", $argv[$i], $m))
continue;
if (isset($map[$m[1]])) {
$this->value = $m[1];
$this->set = true;
return;
} else {
usage("{$m[1]} is not a valid parameter to --{$flag}!");
exit(1);
}
}
}
}
class flag extends argument {
function flag($flag) {
global $argc, $argv;
$this->set = false;
$flag = "--{$flag}";
for ($i = 1; $i < $argc; $i++) {
if ($argv[$i] !== $flag)
continue;
$this->value = true;
$this->set = true;
return;
}
}
}
$bits = new multiargument("bits", array("32", "64"));
$function = new multiargument("function", array("curve25519", "ed25519"));
$compiler = new multiargument("compiler", array("gcc", "clang", "icc"));
$with_sse2 = new flag("with-sse2");
$with_openssl = new flag("with-openssl");
$no_asm = new flag("no-asm");
$err = "";
if (!$bits->set)
$err .= "--bits not set\n";
if (!$function->set)
$err .= "--function not set\n";
if ($err !== "") {
usage($err);
exit;
}
$compile = ($compiler->set) ? $compiler->value : "gcc";
$link = "";
$flags = "-O3 -m{$bits->value}";
$ret = 0;
if ($with_openssl->set) $link .= " -lssl -lcrypto";
if (!$with_openssl->set) $flags .= " -DED25519_REFHASH -DED25519_TEST";
if ($no_asm->set) $flags .= " -DED25519_NO_INLINE_ASM";
if ($function->value === "curve25519") {
runcmd("building ref10..", "{$compile} {$flags} curve25519-ref10.c -c -o curve25519-ref10.o");
runcmd("building ed25519..", "{$compile} {$flags} ed25519-donna.c -c -o ed25519.o");
if ($with_sse2->set) {
runcmd("building ed25519-sse2..", "{$compile} {$flags} ed25519-donna-sse2.c -c -o ed25519-sse2.o -msse2");
$flags .= " -DED25519_SSE2";
$link .= " ed25519-sse2.o";
}
runcmd("linking..", "{$compile} {$flags} {$link} fuzz-curve25519.c ed25519.o curve25519-ref10.o -o fuzz-curve25519");
echoln("fuzz-curve25519 built.");
} else if ($function->value === "ed25519") {
runcmd("building ref10..", "{$compile} {$flags} ed25519-ref10.c -c -o ed25519-ref10.o");
runcmd("building ed25519..", "{$compile} {$flags} ed25519-donna.c -c -o ed25519.o");
if ($with_sse2->set) {
runcmd("building ed25519-sse2..", "{$compile} {$flags} ed25519-donna-sse2.c -c -o ed25519-sse2.o -msse2");
$flags .= " -DED25519_SSE2";
$link .= " ed25519-sse2.o";
}
runcmd("linking..", "{$compile} {$flags} {$link} fuzz-ed25519.c ed25519.o ed25519-ref10.o -o fuzz-ed25519");
echoln("fuzz-ed25519 built.");
}
cleanup();
?>

File diff suppressed because it is too large Load Diff

View File

@@ -1,8 +0,0 @@
#ifndef CURVE25519_REF10_H
#define CURVE25519_REF10_H
int crypto_scalarmult_base_ref10(unsigned char *q,const unsigned char *n);
int crypto_scalarmult_ref10(unsigned char *q, const unsigned char *n, const unsigned char *p);
#endif /* CURVE25519_REF10_H */

View File

@@ -1,3 +0,0 @@
#define ED25519_SUFFIX _sse2
#define ED25519_SSE2
#include "../ed25519.c"

View File

@@ -1 +0,0 @@
#include "../ed25519.c"

View File

@@ -1,34 +0,0 @@
#ifndef ED25519_H
#define ED25519_H
#include <stdlib.h>
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(ED25519_SSE2)
void ed25519_publickey_sse2(const ed25519_secret_key sk, ed25519_public_key pk);
int ed25519_sign_open_sse2(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS);
void ed25519_sign_sse2(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_sse2(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid);
void ed25519_randombytes_unsafe_sse2(void *out, size_t count);
void curved25519_scalarmult_basepoint_sse2(curved25519_key pk, const curved25519_key e);
#endif
#endif // ED25519_H

File diff suppressed because it is too large Load Diff

View File

@@ -1,9 +0,0 @@
#ifndef ED25519_REF10_H
#define ED25519_REF10_H
int crypto_sign_pk_ref10(unsigned char *pk,unsigned char *sk);
int crypto_sign_ref10(unsigned char *sm,unsigned long long *smlen,const unsigned char *m,unsigned long long mlen,const unsigned char *sk);
int crypto_sign_open_ref10(unsigned char *m,unsigned long long *mlen,const unsigned char *sm,unsigned long long smlen,const unsigned char *pk);
#endif /* ED25519_REF10_H */

View File

@@ -1,172 +0,0 @@
#if defined(_WIN32)
#include <windows.h>
#include <wincrypt.h>
typedef unsigned int uint32_t;
typedef unsigned __int64 uint64_t;
#else
#include <stdint.h>
#endif
#include <string.h>
#include <stdio.h>
#include "ed25519-donna.h"
#include "curve25519-ref10.h"
static void
print_diff(const char *desc, const unsigned char *a, const unsigned char *b, size_t len) {
size_t p = 0;
unsigned char diff;
printf("%s diff:\n", desc);
while (len--) {
diff = *a++ ^ *b++;
if (!diff)
printf("____,");
else
printf("0x%02x,", diff);
if ((++p & 15) == 0)
printf("\n");
}
printf("\n\n");
}
static void
print_bytes(const char *desc, const unsigned char *bytes, size_t len) {
size_t p = 0;
printf("%s:\n", desc);
while (len--) {
printf("0x%02x,", *bytes++);
if ((++p & 15) == 0)
printf("\n");
}
printf("\n\n");
}
/* chacha20/12 prng */
void
prng(unsigned char *out, size_t bytes) {
static uint32_t state[16];
static int init = 0;
uint32_t x[16], t;
size_t i;
if (!init) {
#if defined(_WIN32)
HCRYPTPROV csp;
if (!CryptAcquireContext(&csp, 0, 0, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) {
printf("CryptAcquireContext failed\n");
exit(1);
}
if (!CryptGenRandom(csp, (DWORD)sizeof(state), (BYTE*)state)) {
printf("CryptGenRandom failed\n");
exit(1);
}
CryptReleaseContext(csp, 0);
#else
FILE *f = NULL;
f = fopen("/dev/urandom", "rb");
if (!f) {
printf("failed to open /dev/urandom\n");
exit(1);
}
if (fread(state, sizeof(state), 1, f) != 1) {
printf("read error on /dev/urandom\n");
exit(1);
}
#endif
init = 1;
}
while (bytes) {
for (i = 0; i < 16; i++) x[i] = state[i];
#define rotl32(x,k) ((x << k) | (x >> (32 - k)))
#define quarter(a,b,c,d) \
x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t,16); \
x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t,12); \
x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t, 8); \
x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t, 7);
for (i = 0; i < 12; i += 2) {
quarter( 0, 4, 8,12)
quarter( 1, 5, 9,13)
quarter( 2, 6,10,14)
quarter( 3, 7,11,15)
quarter( 0, 5,10,15)
quarter( 1, 6,11,12)
quarter( 2, 7, 8,13)
quarter( 3, 4, 9,14)
};
if (bytes <= 64) {
memcpy(out, x, bytes);
bytes = 0;
} else {
memcpy(out, x, 64);
bytes -= 64;
out += 64;
}
/* don't need a nonce, so last 4 words are the counter. 2^136 bytes can be generated */
if (!++state[12]) if (!++state[13]) if (!++state[14]) ++state[15];
}
}
int main() {
const size_t skmax = 1024;
static unsigned char sk[1024][32];
unsigned char pk[3][32];
unsigned char *skp;
size_t ski, pki, i;
uint64_t ctr;
printf("fuzzing: ");
printf(" ref10");
printf(" curved25519");
#if defined(ED25519_SSE2)
printf(" curved25519-sse2");
#endif
printf("\n\n");
for (ctr = 0, ski = skmax;;ctr++) {
if (ski == skmax) {
prng((unsigned char *)sk, sizeof(sk));
ski = 0;
}
skp = sk[ski++];
pki = 0;
crypto_scalarmult_base_ref10(pk[pki++], skp);
curved25519_scalarmult_basepoint(pk[pki++], skp);
#if defined(ED25519_SSE2)
curved25519_scalarmult_basepoint_sse2(pk[pki++], skp);
#endif
for (i = 1; i < pki; i++) {
if (memcmp(pk[0], pk[i], 32) != 0) {
printf("\n\n");
print_bytes("sk", skp, 32);
print_bytes("ref10", pk[0], 32);
print_diff("curved25519", pk[0], pk[1], 32);
#if defined(ED25519_SSE2)
print_diff("curved25519-sse2", pk[0], pk[2], 32);
#endif
exit(1);
}
}
if (ctr && (ctr % 0x1000 == 0)) {
printf(".");
if ((ctr % 0x20000) == 0) {
printf(" [");
for (i = 0; i < 8; i++)
printf("%02x", (unsigned char)(ctr >> ((7 - i) * 8)));
printf("]\n");
}
}
}
}

View File

@@ -1,219 +0,0 @@
#if defined(_WIN32)
#include <windows.h>
#include <wincrypt.h>
typedef unsigned int uint32_t;
#else
#include <stdint.h>
#endif
#include <string.h>
#include <stdio.h>
#include "ed25519-donna.h"
#include "ed25519-ref10.h"
static void
print_diff(const char *desc, const unsigned char *a, const unsigned char *b, size_t len) {
size_t p = 0;
unsigned char diff;
printf("%s diff:\n", desc);
while (len--) {
diff = *a++ ^ *b++;
if (!diff)
printf("____,");
else
printf("0x%02x,", diff);
if ((++p & 15) == 0)
printf("\n");
}
printf("\n");
}
static void
print_bytes(const char *desc, const unsigned char *bytes, size_t len) {
size_t p = 0;
printf("%s:\n", desc);
while (len--) {
printf("0x%02x,", *bytes++);
if ((++p & 15) == 0)
printf("\n");
}
printf("\n");
}
/* chacha20/12 prng */
void
prng(unsigned char *out, size_t bytes) {
static uint32_t state[16];
static int init = 0;
uint32_t x[16], t;
size_t i;
if (!init) {
#if defined(_WIN32)
HCRYPTPROV csp = NULL;
if (!CryptAcquireContext(&csp, 0, 0, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) {
printf("CryptAcquireContext failed\n");
exit(1);
}
if (!CryptGenRandom(csp, (DWORD)sizeof(state), (BYTE*)state)) {
printf("CryptGenRandom failed\n");
exit(1);
}
CryptReleaseContext(csp, 0);
#else
FILE *f = NULL;
f = fopen("/dev/urandom", "rb");
if (!f) {
printf("failed to open /dev/urandom\n");
exit(1);
}
if (fread(state, sizeof(state), 1, f) != 1) {
printf("read error on /dev/urandom\n");
exit(1);
}
#endif
init = 1;
}
while (bytes) {
for (i = 0; i < 16; i++) x[i] = state[i];
#define rotl32(x,k) ((x << k) | (x >> (32 - k)))
#define quarter(a,b,c,d) \
x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t,16); \
x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t,12); \
x[a] += x[b]; t = x[d]^x[a]; x[d] = rotl32(t, 8); \
x[c] += x[d]; t = x[b]^x[c]; x[b] = rotl32(t, 7);
for (i = 0; i < 12; i += 2) {
quarter( 0, 4, 8,12)
quarter( 1, 5, 9,13)
quarter( 2, 6,10,14)
quarter( 3, 7,11,15)
quarter( 0, 5,10,15)
quarter( 1, 6,11,12)
quarter( 2, 7, 8,13)
quarter( 3, 4, 9,14)
};
if (bytes <= 64) {
memcpy(out, x, bytes);
bytes = 0;
} else {
memcpy(out, x, 64);
bytes -= 64;
out += 64;
}
/* don't need a nonce, so last 4 words are the counter. 2^136 bytes can be generated */
if (!++state[12]) if (!++state[13]) if (!++state[14]) ++state[15];
}
}
typedef struct random_data_t {
unsigned char sk[32];
unsigned char m[128];
} random_data;
typedef struct generated_data_t {
unsigned char pk[32];
unsigned char sig[64];
int valid;
} generated_data;
static void
print_generated(const char *desc, generated_data *g) {
printf("%s:\n", desc);
print_bytes("pk", g->pk, 32);
print_bytes("sig", g->sig, 64);
printf("valid: %s\n\n", g->valid ? "no" : "yes");
}
static void
print_generated_diff(const char *desc, const generated_data *base, generated_data *g) {
printf("%s:\n", desc);
print_diff("pk", base->pk, g->pk, 32);
print_diff("sig", base->sig, g->sig, 64);
printf("valid: %s\n\n", (base->valid == g->valid) ? "___" : (g->valid ? "no" : "yes"));
}
int main() {
const size_t rndmax = 128;
static random_data rnd[128];
static generated_data gen[3];
random_data *r;
generated_data *g;
unsigned long long dummylen;
unsigned char dummysk[64];
unsigned char dummymsg[2][128+64];
size_t rndi, geni, i, j;
uint64_t ctr;
printf("fuzzing: ");
printf(" ref10");
printf(" ed25519-donna");
#if defined(ED25519_SSE2)
printf(" ed25519-donna-sse2");
#endif
printf("\n\n");
for (ctr = 0, rndi = rndmax;;ctr++) {
if (rndi == rndmax) {
prng((unsigned char *)rnd, sizeof(rnd));
rndi = 0;
}
r = &rnd[rndi++];
/* ref10, lots of horrible gymnastics to work around the wonky api */
geni = 0;
g = &gen[geni++];
memcpy(dummysk, r->sk, 32); /* pk is appended to the sk, need to copy the sk to a larger buffer */
crypto_sign_pk_ref10(dummysk + 32, dummysk);
memcpy(g->pk, dummysk + 32, 32);
crypto_sign_ref10(dummymsg[0], &dummylen, r->m, 128, dummysk);
memcpy(g->sig, dummymsg[0], 64); /* sig is placed in front of the signed message */
g->valid = crypto_sign_open_ref10(dummymsg[1], &dummylen, dummymsg[0], 128 + 64, g->pk);
/* ed25519-donna */
g = &gen[geni++];
ed25519_publickey(r->sk, g->pk);
ed25519_sign(r->m, 128, r->sk, g->pk, g->sig);
g->valid = ed25519_sign_open(r->m, 128, g->pk, g->sig);
#if defined(ED25519_SSE2)
/* ed25519-donna-sse2 */
g = &gen[geni++];
ed25519_publickey_sse2(r->sk, g->pk);
ed25519_sign_sse2(r->m, 128, r->sk, g->pk, g->sig);
g->valid = ed25519_sign_open_sse2(r->m, 128, g->pk, g->sig);
#endif
/* compare implementations 1..geni against the reference */
for (i = 1; i < geni; i++) {
if (memcmp(&gen[0], &gen[i], sizeof(generated_data)) != 0) {
printf("\n\n");
print_bytes("sk", r->sk, 32);
print_bytes("m", r->m, 128);
print_generated("ref10", &gen[0]);
print_generated_diff("ed25519-donna", &gen[0], &gen[1]);
#if defined(ED25519_SSE2)
print_generated_diff("ed25519-donna-sse2", &gen[0], &gen[2]);
#endif
exit(1);
}
}
/* print out status */
if (ctr && (ctr % 0x1000 == 0)) {
printf(".");
if ((ctr % 0x20000) == 0) {
printf(" [");
for (i = 0; i < 8; i++)
printf("%02x", (unsigned char)(ctr >> ((7 - i) * 8)));
printf("]\n");
}
}
}
}

View File

@@ -1,469 +0,0 @@
/*
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);
}

View File

@@ -1,361 +0,0 @@
/*
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);
}

File diff suppressed because it is too large Load Diff

View File

@@ -1,176 +0,0 @@
#include <stdio.h>
#include "ed25519-donna.h"
static int
test_adds() {
#if defined(HAVE_UINT128) && !defined(ED25519_SSE2)
/* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */
static const bignum25519 max_bignum = {
0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff
};
/* what max_bignum should fully reduce to */
static const unsigned char max_bignum_raw[32] = {
0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00
};
/* (max_bignum + max_bignum)^2 */
static const unsigned char max_bignum2_squared_raw[32] = {
0x10,0x05,0x00,0x00,0x00,0x00,0x80,0xdc,0x51,0x00,0x00,0x00,0x00,0x61,0xed,0x4a,
0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
/* ((max_bignum + max_bignum) + max_bignum)^2 */
static const unsigned char max_bignum3_squared_raw[32] = {
0x64,0x0b,0x00,0x00,0x00,0x00,0x20,0x30,0xb8,0x00,0x00,0x00,0x40,0x1a,0x96,0xe8,
0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
#else
/* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */
static const bignum25519 ALIGN(16) max_bignum = {
0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff,
0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff
};
/* what max_bignum should fully reduce to */
static const unsigned char max_bignum2_squared_raw[32] = {
0x10,0x05,0x00,0x40,0xc2,0x06,0x40,0x80,0x41,0x02,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
/* (max_bignum * max_bignum) */
static const unsigned char max_bignum3_squared_raw[32] = {
0x64,0x0b,0x00,0x10,0x35,0x0f,0x90,0x60,0x13,0x05,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
#endif
unsigned char result[32];
static const bignum25519 ALIGN(16) zero = {0};
bignum25519 ALIGN(16) a, b, c;
size_t i;
/* a = (max_bignum + max_bignum) */
curve25519_add(a, max_bignum, max_bignum);
/* b = ((max_bignum + max_bignum) * (max_bignum + max_bignum)) */
curve25519_mul(b, a, a);
curve25519_contract(result, b);
if (memcmp(result, max_bignum2_squared_raw, 32) != 0)
return -1;
curve25519_square(b, a);
curve25519_contract(result, b);
if (memcmp(result, max_bignum2_squared_raw, 32) != 0)
return -1;
/* b = (max_bignum + max_bignum + max_bignum) */
curve25519_add_after_basic(b, a, max_bignum);
/* a = ((max_bignum + max_bignum + max_bignum) * (max_bignum + max_bignum + max_bignum)) */
curve25519_mul(a, b, b);
curve25519_contract(result, a);
if (memcmp(result, max_bignum3_squared_raw, 32) != 0)
return -1;
curve25519_square(a, b);
curve25519_contract(result, a);
if (memcmp(result, max_bignum3_squared_raw, 32) != 0)
return -1;
return 0;
}
static int
test_subs() {
#if defined(HAVE_UINT128) && !defined(ED25519_SSE2)
/* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */
static const bignum25519 max_bignum = {
0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff
};
/* what max_bignum should fully reduce to */
static const unsigned char max_bignum_raw[32] = {
0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00
};
/* (max_bignum * max_bignum) */
static const unsigned char max_bignum_squared_raw[32] = {
0x44,0x01,0x00,0x00,0x00,0x00,0x20,0x77,0x14,0x00,0x00,0x00,0x40,0x58,0xbb,0x52,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00
};
#else
/* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */
static const bignum25519 ALIGN(16) max_bignum = {
0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff,
0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff
};
/* what max_bignum should fully reduce to */
static const unsigned char max_bignum_raw[32] = {
0x12,0x00,0x00,0x04,0x0c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
/* (max_bignum * max_bignum) */
static const unsigned char max_bignum_squared_raw[32] = {
0x44,0x01,0x00,0x90,0xb0,0x01,0x10,0x60,0x90,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
};
#endif
unsigned char result[32];
static const bignum25519 ALIGN(16) zero = {0};
bignum25519 ALIGN(16) a, b, c;
size_t i;
/* a = max_bignum - 0, which expands to 2p + max_bignum - 0 */
curve25519_sub(a, max_bignum, zero);
curve25519_contract(result, a);
if (memcmp(result, max_bignum_raw, 32) != 0)
return -1;
/* b = (max_bignum * max_bignum) */
curve25519_mul(b, a, a);
curve25519_contract(result, b);
if (memcmp(result, max_bignum_squared_raw, 32) != 0)
return -1;
curve25519_square(b, a);
curve25519_contract(result, b);
if (memcmp(result, max_bignum_squared_raw, 32) != 0)
return -1;
/* b = ((a - 0) - 0) */
curve25519_sub_after_basic(b, a, zero);
curve25519_contract(result, b);
if (memcmp(result, max_bignum_raw, 32) != 0)
return -1;
/* a = (max_bignum * max_bignum) */
curve25519_mul(a, b, b);
curve25519_contract(result, a);
if (memcmp(result, max_bignum_squared_raw, 32) != 0)
return -1;
curve25519_square(a, b);
curve25519_contract(result, a);
if (memcmp(result, max_bignum_squared_raw, 32) != 0)
return -1;
return 0;
}
int
main() {
int ret = 0;
int single;
single = test_adds();
if (single) printf("test_adds: FAILED\n");
ret |= single;
single = test_subs();
if (single) printf("test_subs: FAILED\n");
ret |= single;
if (!ret) printf("success\n");
return ret;
}

View File

@@ -1,50 +0,0 @@
#include "ed25519-donna-portable-identify.h"
/* ticks - not tested on anything other than x86 */
static uint64_t
get_ticks(void) {
#if defined(CPU_X86) || defined(CPU_X86_64)
#if defined(COMPILER_INTEL)
return _rdtsc();
#elif defined(COMPILER_MSVC)
return __rdtsc();
#elif defined(COMPILER_GCC)
uint32_t lo, hi;
__asm__ __volatile__("rdtsc" : "=a" (lo), "=d" (hi));
return ((uint64_t)lo | ((uint64_t)hi << 32));
#else
need rdtsc for this compiler
#endif
#elif defined(OS_SOLARIS)
return (uint64_t)gethrtime();
#elif defined(CPU_SPARC) && !defined(OS_OPENBSD)
uint64_t t;
__asm__ __volatile__("rd %%tick, %0" : "=r" (t));
return t;
#elif defined(CPU_PPC)
uint32_t lo = 0, hi = 0;
__asm__ __volatile__("mftbu %0; mftb %1" : "=r" (hi), "=r" (lo));
return ((uint64_t)lo | ((uint64_t)hi << 32));
#elif defined(CPU_IA64)
uint64_t t;
__asm__ __volatile__("mov %0=ar.itc" : "=r" (t));
return t;
#elif defined(OS_NIX)
timeval t2;
gettimeofday(&t2, NULL);
t = ((uint64_t)t2.tv_usec << 32) | (uint64_t)t2.tv_sec;
return t;
#else
need ticks for this platform
#endif
}
#define timeit(x,minvar) \
ticks = get_ticks(); \
x; \
ticks = get_ticks() - ticks; \
if (ticks < minvar) \
minvar = ticks;
#define maxticks 0xffffffffffffffffull

View File

@@ -1,260 +0,0 @@
/*
Validate ed25519 implementation against the official test vectors from
http://ed25519.cr.yp.to/software.html
*/
#include <stdio.h>
#include <string.h>
#include "ed25519.h"
#include "test-ticks.h"
static void
edassert(int check, int round, const char *failreason) {
if (check)
return;
printf("round %d, %s\n", round, failreason);
exit(1);
}
static void
edassert_die(const unsigned char *a, const unsigned char *b, size_t len, int round, const char *failreason) {
size_t i;
if (round > 0)
printf("round %d, %s\n", round, failreason);
else
printf("%s\n", failreason);
printf("want: "); for (i = 0; i < len; i++) printf("%02x,", a[i]); printf("\n");
printf("got : "); for (i = 0; i < len; i++) printf("%02x,", b[i]); printf("\n");
printf("diff: "); for (i = 0; i < len; i++) if (a[i] ^ b[i]) printf("%02x,", a[i] ^ b[i]); else printf(" ,"); printf("\n\n");
exit(1);
}
static void
edassert_equal(const unsigned char *a, const unsigned char *b, size_t len, const char *failreason) {
if (memcmp(a, b, len) == 0)
return;
edassert_die(a, b, len, -1, failreason);
}
static void
edassert_equal_round(const unsigned char *a, const unsigned char *b, size_t len, int round, const char *failreason) {
if (memcmp(a, b, len) == 0)
return;
edassert_die(a, b, len, round, failreason);
}
/* test data */
typedef struct test_data_t {
unsigned char sk[32], pk[32], sig[64];
const char *m;
} test_data;
test_data dataset[] = {
#include "regression.h"
};
/* result of the curve25519 scalarmult ((|255| * basepoint) * basepoint)... 1024 times */
const curved25519_key curved25519_expected = {
0xac,0xce,0x24,0xb1,0xd4,0xa2,0x36,0x21,
0x15,0xe2,0x3e,0x84,0x3c,0x23,0x2b,0x5f,
0x95,0x6c,0xc0,0x7b,0x95,0x82,0xd7,0x93,
0xd5,0x19,0xb6,0xf1,0xfb,0x96,0xd6,0x04
};
/* from ed25519-donna-batchverify.h */
extern unsigned char batch_point_buffer[3][32];
/* y coordinate of the final point from 'amd64-51-30k' with the same random generator */
static const unsigned char batch_verify_y[32] = {
0x51,0xe7,0x68,0xe0,0xf7,0xa1,0x88,0x45,
0xde,0xa1,0xcb,0xd9,0x37,0xd4,0x78,0x53,
0x1b,0x95,0xdb,0xbe,0x66,0x59,0x29,0x3b,
0x94,0x51,0x2f,0xbc,0x0d,0x66,0xba,0x3f
};
/*
static const unsigned char batch_verify_y[32] = {
0x5c,0x63,0x96,0x26,0xca,0xfe,0xfd,0xc4,
0x2d,0x11,0xa8,0xe4,0xc4,0x46,0x42,0x97,
0x97,0x92,0xbe,0xe0,0x3c,0xef,0x96,0x01,
0x50,0xa1,0xcc,0x8f,0x50,0x85,0x76,0x7d
};
Introducing the 128 bit r scalars to the heap _before_ the largest scalar
fits in to 128 bits alters the heap shape and produces a different,
yet still neutral/valid y/z value.
This was the value of introducing the r scalars when the largest scalar fit
in to 135-256 bits. You can produce it with amd64-64-24k / amd64-51-32k
with the random sequence used in the first pass by changing
unsigned long long hlen=((npoints+1)/2)|1;
to
unsigned long long hlen=npoints;
in ge25519_multi_scalarmult.c
ed25519-donna-batchverify.h has been modified to match the
default amd64-64-24k / amd64-51-32k behaviour
*/
/* batch test */
#define test_batch_count 64
#define test_batch_rounds 96
typedef enum batch_test_t {
batch_no_errors = 0,
batch_wrong_message = 1,
batch_wrong_pk = 2,
batch_wrong_sig = 3
} batch_test;
static int
test_batch_instance(batch_test type, uint64_t *ticks) {
ed25519_secret_key sks[test_batch_count];
ed25519_public_key pks[test_batch_count];
ed25519_signature sigs[test_batch_count];
unsigned char messages[test_batch_count][128];
size_t message_lengths[test_batch_count];
const unsigned char *message_pointers[test_batch_count];
const unsigned char *pk_pointers[test_batch_count];
const unsigned char *sig_pointers[test_batch_count];
int valid[test_batch_count], ret, validret;
size_t i;
uint64_t t;
/* generate keys */
for (i = 0; i < test_batch_count; i++) {
ed25519_randombytes_unsafe(sks[i], sizeof(sks[i]));
ed25519_publickey(sks[i], pks[i]);
pk_pointers[i] = pks[i];
}
/* generate messages */
ed25519_randombytes_unsafe(messages, sizeof(messages));
for (i = 0; i < test_batch_count; i++) {
message_pointers[i] = messages[i];
message_lengths[i] = (i & 127) + 1;
}
/* sign messages */
for (i = 0; i < test_batch_count; i++) {
ed25519_sign(message_pointers[i], message_lengths[i], sks[i], pks[i], sigs[i]);
sig_pointers[i] = sigs[i];
}
validret = 0;
if (type == batch_wrong_message) {
message_pointers[0] = message_pointers[1];
validret = 1|2;
} else if (type == batch_wrong_pk) {
pk_pointers[0] = pk_pointers[1];
validret = 1|2;
} else if (type == batch_wrong_sig) {
sig_pointers[0] = sig_pointers[1];
validret = 1|2;
}
/* batch verify */
t = get_ticks();
ret = ed25519_sign_open_batch(message_pointers, message_lengths, pk_pointers, sig_pointers, test_batch_count, valid);
*ticks = get_ticks() - t;
edassert_equal((unsigned char *)&validret, (unsigned char *)&ret, sizeof(int), "batch return code");
for (i = 0; i < test_batch_count; i++) {
validret = ((type == batch_no_errors) || (i != 0)) ? 1 : 0;
edassert_equal((unsigned char *)&validret, (unsigned char *)&valid[i], sizeof(int), "individual batch return code");
}
return ret;
}
static void
test_batch(void) {
uint64_t dummy_ticks, ticks[test_batch_rounds], best = maxticks, sum;
size_t i, count;
/* check the first pass for the expected result */
test_batch_instance(batch_no_errors, &dummy_ticks);
edassert_equal(batch_verify_y, batch_point_buffer[1], 32, "failed to generate expected result");
/* make sure ge25519_multi_scalarmult_vartime throws an error on the entire batch with wrong data */
for (i = 0; i < 4; i++) {
test_batch_instance(batch_wrong_message, &dummy_ticks);
test_batch_instance(batch_wrong_pk, &dummy_ticks);
test_batch_instance(batch_wrong_sig, &dummy_ticks);
}
/* speed test */
for (i = 0; i < test_batch_rounds; i++) {
test_batch_instance(batch_no_errors, &ticks[i]);
if (ticks[i] < best)
best = ticks[i];
}
/* take anything within 1% of the best time */
for (i = 0, sum = 0, count = 0; i < test_batch_rounds; i++) {
if (ticks[i] < (best * 1.01)) {
sum += ticks[i];
count++;
}
}
printf("%.0f ticks/verification\n", (double)sum / (count * test_batch_count));
}
static void
test_main(void) {
int i, res;
ed25519_public_key pk;
ed25519_signature sig;
unsigned char forge[1024] = {'x'};
curved25519_key csk[2] = {{255}};
uint64_t ticks, pkticks = maxticks, signticks = maxticks, openticks = maxticks, curvedticks = maxticks;
for (i = 0; i < 1024; i++) {
ed25519_publickey(dataset[i].sk, pk);
edassert_equal_round(dataset[i].pk, pk, sizeof(pk), i, "public key didn't match");
ed25519_sign((unsigned char *)dataset[i].m, i, dataset[i].sk, pk, sig);
edassert_equal_round(dataset[i].sig, sig, sizeof(sig), i, "signature didn't match");
edassert(!ed25519_sign_open((unsigned char *)dataset[i].m, i, pk, sig), i, "failed to open message");
memcpy(forge, dataset[i].m, i);
if (i)
forge[i - 1] += 1;
edassert(ed25519_sign_open(forge, (i) ? i : 1, pk, sig), i, "opened forged message");
}
for (i = 0; i < 1024; i++)
curved25519_scalarmult_basepoint(csk[(i & 1) ^ 1], csk[i & 1]);
edassert_equal(curved25519_expected, csk[0], sizeof(curved25519_key), "curve25519 failed to generate correct value");
for (i = 0; i < 2048; i++) {
timeit(ed25519_publickey(dataset[0].sk, pk), pkticks)
edassert_equal_round(dataset[0].pk, pk, sizeof(pk), i, "public key didn't match");
timeit(ed25519_sign((unsigned char *)dataset[0].m, 0, dataset[0].sk, pk, sig), signticks)
edassert_equal_round(dataset[0].sig, sig, sizeof(sig), i, "signature didn't match");
timeit(res = ed25519_sign_open((unsigned char *)dataset[0].m, 0, pk, sig), openticks)
edassert(!res, 0, "failed to open message");
timeit(curved25519_scalarmult_basepoint(csk[1], csk[0]), curvedticks);
}
printf("%.0f ticks/public key generation\n", (double)pkticks);
printf("%.0f ticks/signature\n", (double)signticks);
printf("%.0f ticks/signature verification\n", (double)openticks);
printf("%.0f ticks/curve25519 basepoint scalarmult\n", (double)curvedticks);
}
int
main(void) {
test_main();
test_batch();
return 0;
}

View File

@@ -541,7 +541,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
/** Verify an ECDSA signature.
*
* Returns: 1: correct signature
* 0: incorrect or unparseable signature
* 0: incorrect or unparsable signature
* Args: ctx: pointer to a context object
* In: sig: the signature being verified.
* msghash32: the 32-byte message hash being verified.

View File

@@ -159,7 +159,7 @@ public:
@param count the number of items the slab allocator can allocate; note
that a count of 0 is valid and means that the allocator
is, effectively, disabled. This can be very useful in some
contexts (e.g. when mimimal memory usage is needed) and
contexts (e.g. when minimal memory usage is needed) and
allows for graceful failure.
*/
constexpr explicit SlabAllocator(

View File

@@ -546,7 +546,7 @@ operator<=>(base_uint<Bits, Tag> const& lhs, base_uint<Bits, Tag> const& rhs)
// This comparison might seem wrong on a casual inspection because it
// compares data internally stored as std::uint32_t byte-by-byte. But
// note that the underlying data is stored in big endian, even if the
// plaform is little endian. This makes the comparison correct.
// platform is little endian. This makes the comparison correct.
//
// FIXME: use std::lexicographical_compare_three_way once support is
// added to MacOS.

View File

@@ -9,7 +9,7 @@ namespace ripple {
/*
* MSVC 2019 version 16.9.0 added [[nodiscard]] to the std comparison
* operator() functions. boost::bimap checks that the comparitor is a
* operator() functions. boost::bimap checks that the comparator is a
* BinaryFunction, in part by calling the function and ignoring the value.
* These two things don't play well together. These wrapper classes simply
* strip [[nodiscard]] from operator() for use in boost::bimap.

View File

@@ -39,7 +39,7 @@ public:
The argument string is available to suites and
allows for customization of the test. Each suite
defines its own syntax for the argumnet string.
defines its own syntax for the argument string.
The same argument is passed to all suites.
*/
void

View File

@@ -5,6 +5,7 @@
#include <xrpl/json/json_forwards.h>
#include <cstring>
#include <limits>
#include <map>
#include <string>
#include <vector>
@@ -139,9 +140,9 @@ public:
using ArrayIndex = UInt;
static Value const null;
static Int const minInt;
static Int const maxInt;
static UInt const maxUInt;
static constexpr Int minInt = std::numeric_limits<Int>::min();
static constexpr Int maxInt = std::numeric_limits<Int>::max();
static constexpr UInt maxUInt = std::numeric_limits<UInt>::max();
private:
class CZString
@@ -244,6 +245,10 @@ public:
bool
asBool() const;
/** Correct absolute value from int or unsigned int */
UInt
asAbsUInt() const;
// TODO: What is the "empty()" method this docstring mentions?
/** isNull() tests to see if this field is null. Don't use this method to
test for emptiness: use empty(). */

View File

@@ -78,12 +78,15 @@ namespace detail {
#undef XRPL_FEATURE
#pragma push_macro("XRPL_FIX")
#undef XRPL_FIX
#pragma push_macro("XRPL_RETIRE")
#undef XRPL_RETIRE
#pragma push_macro("XRPL_RETIRE_FEATURE")
#undef XRPL_RETIRE_FEATURE
#pragma push_macro("XRPL_RETIRE_FIX")
#undef XRPL_RETIRE_FIX
#define XRPL_FEATURE(name, supported, vote) +1
#define XRPL_FIX(name, supported, vote) +1
#define XRPL_RETIRE(name) +1
#define XRPL_RETIRE_FEATURE(name) +1
#define XRPL_RETIRE_FIX(name) +1
// This value SHOULD be equal to the number of amendments registered in
// Feature.cpp. Because it's only used to reserve storage, and determine how
@@ -94,8 +97,10 @@ static constexpr std::size_t numFeatures =
#include <xrpl/protocol/detail/features.macro>
);
#undef XRPL_RETIRE
#pragma pop_macro("XRPL_RETIRE")
#undef XRPL_RETIRE_FEATURE
#pragma pop_macro("XRPL_RETIRE_FEATURE")
#undef XRPL_RETIRE_FIX
#pragma pop_macro("XRPL_RETIRE_FIX")
#undef XRPL_FIX
#pragma pop_macro("XRPL_FIX")
#undef XRPL_FEATURE
@@ -339,17 +344,22 @@ foreachFeature(FeatureBitset bs, F&& f)
#undef XRPL_FEATURE
#pragma push_macro("XRPL_FIX")
#undef XRPL_FIX
#pragma push_macro("XRPL_RETIRE")
#undef XRPL_RETIRE
#pragma push_macro("XRPL_RETIRE_FEATURE")
#undef XRPL_RETIRE_FEATURE
#pragma push_macro("XRPL_RETIRE_FIX")
#undef XRPL_RETIRE_FIX
#define XRPL_FEATURE(name, supported, vote) extern uint256 const feature##name;
#define XRPL_FIX(name, supported, vote) extern uint256 const fix##name;
#define XRPL_RETIRE(name)
#define XRPL_RETIRE_FEATURE(name)
#define XRPL_RETIRE_FIX(name)
#include <xrpl/protocol/detail/features.macro>
#undef XRPL_RETIRE
#pragma pop_macro("XRPL_RETIRE")
#undef XRPL_RETIRE_FEATURE
#pragma pop_macro("XRPL_RETIRE_FEATURE")
#undef XRPL_RETIRE_FIX
#pragma pop_macro("XRPL_RETIRE_FIX")
#undef XRPL_FIX
#pragma pop_macro("XRPL_FIX")
#undef XRPL_FEATURE

View File

@@ -231,11 +231,7 @@ verifyDigest(
SHA512-Half, and the resulting digest is signed.
*/
[[nodiscard]] bool
verify(
PublicKey const& publicKey,
Slice const& m,
Slice const& sig,
bool mustBeFullyCanonical = true) noexcept;
verify(PublicKey const& publicKey, Slice const& m, Slice const& sig) noexcept;
/** Calculate the 160-bit node ID from a node public key. */
NodeID

View File

@@ -31,17 +31,8 @@ class STTx final : public STObject, public CountedObject<STTx>
TxType tx_type_;
public:
static std::size_t const minMultiSigners = 1;
// if rules are not supplied then the largest possible value is returned
static std::size_t
maxMultiSigners(Rules const* rules = 0)
{
if (rules && !rules->enabled(featureExpandedSignerList))
return 8;
return 32;
}
static constexpr std::size_t minMultiSigners = 1;
static constexpr std::size_t maxMultiSigners = 32;
STTx() = delete;
STTx(STTx const& other) = default;
@@ -112,22 +103,15 @@ public:
std::optional<std::reference_wrapper<SField const>> signatureTarget =
{});
enum class RequireFullyCanonicalSig : bool { no, yes };
/** Check the signature.
@param requireCanonicalSig If `true`, check that the signature is fully
canonical. If `false`, only check that the signature is valid.
@param rules The current ledger rules.
@return `true` if valid signature. If invalid, the error message string.
*/
Expected<void, std::string>
checkSign(RequireFullyCanonicalSig requireCanonicalSig, Rules const& rules)
const;
checkSign(Rules const& rules) const;
Expected<void, std::string>
checkBatchSign(
RequireFullyCanonicalSig requireCanonicalSig,
Rules const& rules) const;
checkBatchSign(Rules const& rules) const;
// SQL Functions with metadata.
static std::string const&
@@ -149,40 +133,25 @@ public:
private:
/** Check the signature.
@param requireCanonicalSig If `true`, check that the signature is fully
canonical. If `false`, only check that the signature is valid.
@param rules The current ledger rules.
@param sigObject Reference to object that contains the signature fields.
Will be *this more often than not.
@return `true` if valid signature. If invalid, the error message string.
*/
Expected<void, std::string>
checkSign(
RequireFullyCanonicalSig requireCanonicalSig,
Rules const& rules,
STObject const& sigObject) const;
checkSign(Rules const& rules, STObject const& sigObject) const;
Expected<void, std::string>
checkSingleSign(
RequireFullyCanonicalSig requireCanonicalSig,
STObject const& sigObject) const;
checkSingleSign(STObject const& sigObject) const;
Expected<void, std::string>
checkMultiSign(
RequireFullyCanonicalSig requireCanonicalSig,
Rules const& rules,
STObject const& sigObject) const;
checkMultiSign(Rules const& rules, STObject const& sigObject) const;
Expected<void, std::string>
checkBatchSingleSign(
STObject const& batchSigner,
RequireFullyCanonicalSig requireCanonicalSig) const;
checkBatchSingleSign(STObject const& batchSigner) const;
Expected<void, std::string>
checkBatchMultiSign(
STObject const& batchSigner,
RequireFullyCanonicalSig requireCanonicalSig,
Rules const& rules) const;
checkBatchMultiSign(STObject const& batchSigner, Rules const& rules) const;
STBase*
copy(std::size_t n, void* buf) const override;

View File

@@ -4,8 +4,11 @@
#if !defined(XRPL_FIX)
#error "undefined macro: XRPL_FIX"
#endif
#if !defined(XRPL_RETIRE)
#error "undefined macro: XRPL_RETIRE"
#if !defined(XRPL_RETIRE_FEATURE)
#error "undefined macro: XRPL_RETIRE_FEATURE"
#endif
#if !defined(XRPL_RETIRE_FIX)
#error "undefined macro: XRPL_RETIRE_FIX"
#endif
// Add new amendments to the top of this list.
@@ -60,22 +63,7 @@ XRPL_FEATURE(AMM, Supported::yes, VoteBehavior::DefaultNo
XRPL_FEATURE(Clawback, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FIX (UniversalNumber, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FEATURE(XRPFees, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FEATURE(DisallowIncoming, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FIX (RemoveNFTokenAutoTrustLine, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FIX (TrustLinesToSelf, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FEATURE(ExpandedSignerList, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FEATURE(CheckCashMakesTrustLine, Supported::yes, VoteBehavior::DefaultNo)
XRPL_FEATURE(FlowSortStrands, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(TicketBatch, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(NegativeUNL, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(RequireFullyCanonicalSig, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(DeletableAccounts, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FIX (PayChanRecipientOwnerDir, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(MultiSignReserve, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(DepositPreauth, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(Checks, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(DepositAuth, Supported::yes, VoteBehavior::DefaultYes)
XRPL_FEATURE(Flow, Supported::yes, VoteBehavior::DefaultYes)
// The following amendments are obsolete, but must remain supported
// because they could potentially get enabled.
@@ -87,48 +75,65 @@ XRPL_FEATURE(Flow, Supported::yes, VoteBehavior::DefaultYe
// enabled (added to the ledger).
//
// If a feature remains obsolete for long enough that no clients are able
// to vote for it, the feature can be removed (entirely?) from the code.
XRPL_FEATURE(CryptoConditionsSuite, Supported::yes, VoteBehavior::Obsolete)
// to vote for it, the feature can be removed entirely from the code. Until
// then the feature needs to be marked explicitly as obsolete, e.g.
// XRPL_FEATURE(Example, Supported::yes, VoteBehavior::Obsolete)
// The following amendments have been active for at least two years. Their
// pre-amendment code has been removed and the identifiers are deprecated.
// All known amendments and amendments that may appear in a validated ledger
// must be registered either here or above with the "active" amendments
//
// Please keep this list sorted alphabetically for convenience.
XRPL_RETIRE(fix1201)
XRPL_RETIRE(fix1368)
XRPL_RETIRE(fix1373)
XRPL_RETIRE(fix1512)
XRPL_RETIRE(fix1513)
XRPL_RETIRE(fix1515)
XRPL_RETIRE(fix1523)
XRPL_RETIRE(fix1528)
XRPL_RETIRE(fix1543)
XRPL_RETIRE(fix1571)
XRPL_RETIRE(fix1578)
XRPL_RETIRE(fix1623)
XRPL_RETIRE(fix1781)
XRPL_RETIRE(fixAmendmentMajorityCalc)
XRPL_RETIRE(fixCheckThreading)
XRPL_RETIRE(fixNonFungibleTokensV1_2)
XRPL_RETIRE(fixNFTokenRemint)
XRPL_RETIRE(fixMasterKeyAsRegularKey)
XRPL_RETIRE(fixQualityUpperBound)
XRPL_RETIRE(fixReducedOffersV1)
XRPL_RETIRE(fixRmSmallIncreasedQOffers)
XRPL_RETIRE(fixSTAmountCanonicalize)
XRPL_RETIRE(fixTakerDryOfferRemoval)
XRPL_RETIRE(CryptoConditions)
XRPL_RETIRE(Escrow)
XRPL_RETIRE(EnforceInvariants)
XRPL_RETIRE(FeeEscalation)
XRPL_RETIRE(FlowCross)
XRPL_RETIRE(HardenedValidations)
XRPL_RETIRE(ImmediateOfferKilled)
XRPL_RETIRE(MultiSign)
XRPL_RETIRE(NonFungibleTokensV1_1)
XRPL_RETIRE(PayChan)
XRPL_RETIRE(SortedDirectories)
XRPL_RETIRE(TickSize)
XRPL_RETIRE(TrustSetAuth)
// Please keep both lists sorted alphabetically for convenience.
XRPL_RETIRE_FIX(1201)
XRPL_RETIRE_FIX(1368)
XRPL_RETIRE_FIX(1373)
XRPL_RETIRE_FIX(1512)
XRPL_RETIRE_FIX(1513)
XRPL_RETIRE_FIX(1515)
XRPL_RETIRE_FIX(1523)
XRPL_RETIRE_FIX(1528)
XRPL_RETIRE_FIX(1543)
XRPL_RETIRE_FIX(1571)
XRPL_RETIRE_FIX(1578)
XRPL_RETIRE_FIX(1623)
XRPL_RETIRE_FIX(1781)
XRPL_RETIRE_FIX(AmendmentMajorityCalc)
XRPL_RETIRE_FIX(CheckThreading)
XRPL_RETIRE_FIX(MasterKeyAsRegularKey)
XRPL_RETIRE_FIX(NonFungibleTokensV1_2)
XRPL_RETIRE_FIX(NFTokenRemint)
XRPL_RETIRE_FIX(PayChanRecipientOwnerDir)
XRPL_RETIRE_FIX(QualityUpperBound)
XRPL_RETIRE_FIX(ReducedOffersV1)
XRPL_RETIRE_FIX(RmSmallIncreasedQOffers)
XRPL_RETIRE_FIX(STAmountCanonicalize)
XRPL_RETIRE_FIX(TakerDryOfferRemoval)
XRPL_RETIRE_FIX(TrustLinesToSelf)
XRPL_RETIRE_FEATURE(Checks)
XRPL_RETIRE_FEATURE(CheckCashMakesTrustLine)
XRPL_RETIRE_FEATURE(CryptoConditions)
XRPL_RETIRE_FEATURE(CryptoConditionsSuite)
XRPL_RETIRE_FEATURE(DeletableAccounts)
XRPL_RETIRE_FEATURE(DepositAuth)
XRPL_RETIRE_FEATURE(DepositPreauth)
XRPL_RETIRE_FEATURE(DisallowIncoming)
XRPL_RETIRE_FEATURE(Escrow)
XRPL_RETIRE_FEATURE(EnforceInvariants)
XRPL_RETIRE_FEATURE(ExpandedSignerList)
XRPL_RETIRE_FEATURE(FeeEscalation)
XRPL_RETIRE_FEATURE(Flow)
XRPL_RETIRE_FEATURE(FlowCross)
XRPL_RETIRE_FEATURE(FlowSortStrands)
XRPL_RETIRE_FEATURE(HardenedValidations)
XRPL_RETIRE_FEATURE(ImmediateOfferKilled)
XRPL_RETIRE_FEATURE(MultiSign)
XRPL_RETIRE_FEATURE(MultiSignReserve)
XRPL_RETIRE_FEATURE(NegativeUNL)
XRPL_RETIRE_FEATURE(NonFungibleTokensV1_1)
XRPL_RETIRE_FEATURE(PayChan)
XRPL_RETIRE_FEATURE(RequireFullyCanonicalSig)
XRPL_RETIRE_FEATURE(SortedDirectories)
XRPL_RETIRE_FEATURE(TicketBatch)
XRPL_RETIRE_FEATURE(TickSize)
XRPL_RETIRE_FEATURE(TrustSetAuth)

View File

@@ -155,7 +155,7 @@ TRANSACTION(ttOFFER_CANCEL, 8, OfferCancel,
#endif
TRANSACTION(ttTICKET_CREATE, 10, TicketCreate,
Delegation::delegatable,
featureTicketBatch,
uint256{},
noPriv,
({
{sfTicketCount, soeREQUIRED},
@@ -226,7 +226,7 @@ TRANSACTION(ttPAYCHAN_CLAIM, 15, PaymentChannelClaim,
#endif
TRANSACTION(ttCHECK_CREATE, 16, CheckCreate,
Delegation::delegatable,
featureChecks,
uint256{},
noPriv,
({
{sfDestination, soeREQUIRED},
@@ -242,7 +242,7 @@ TRANSACTION(ttCHECK_CREATE, 16, CheckCreate,
#endif
TRANSACTION(ttCHECK_CASH, 17, CheckCash,
Delegation::delegatable,
featureChecks,
uint256{},
noPriv,
({
{sfCheckID, soeREQUIRED},
@@ -256,7 +256,7 @@ TRANSACTION(ttCHECK_CASH, 17, CheckCash,
#endif
TRANSACTION(ttCHECK_CANCEL, 18, CheckCancel,
Delegation::delegatable,
featureChecks,
uint256{},
noPriv,
({
{sfCheckID, soeREQUIRED},
@@ -268,7 +268,7 @@ TRANSACTION(ttCHECK_CANCEL, 18, CheckCancel,
#endif
TRANSACTION(ttDEPOSIT_PREAUTH, 19, DepositPreauth,
Delegation::delegatable,
featureDepositPreauth,
uint256{},
noPriv,
({
{sfAuthorize, soeOPTIONAL},
@@ -297,7 +297,7 @@ TRANSACTION(ttTRUST_SET, 20, TrustSet,
#endif
TRANSACTION(ttACCOUNT_DELETE, 21, AccountDelete,
Delegation::notDelegatable,
featureDeletableAccounts,
uint256{},
mustDeleteAcct,
({
{sfDestination, soeREQUIRED},

View File

@@ -0,0 +1,32 @@
# The idea is to empty this file gradually by fixing the underlying issues and removing suppresions.
#
# ASAN_OPTIONS="detect_container_overflow=0 suppressions=sanitizers/suppressions/asan.supp halt_on_error=0"
#
# The detect_container_overflow=0 option disables false positives from:
# - Boost intrusive containers (slist_iterator.hpp, hashtable.hpp, aged_unordered_container.h)
# - Boost context/coroutine stack switching (Workers.cpp, thread.h)
#
# See: https://github.com/google/sanitizers/wiki/AddressSanitizerContainerOverflow
# Suprpress voilations in sanitizers/suppressions code
interceptor_name:^sanitizers/suppressions
# Boost
interceptor_name:boost/asio
# Leaks in Doctest tests: xrpl.test.*
interceptor_name:src/libxrpl/net/HTTPClient.cpp
interceptor_name:src/libxrpl/net/RegisterSSLCerts.cpp
interceptor_name:src/tests/libxrpl/net/HTTPClient.cpp
interceptor_name:xrpl/net/AutoSocket.h
interceptor_name:xrpl/net/HTTPClient.h
interceptor_name:xrpl/net/HTTPClientSSLContext.h
interceptor_name:xrpl/net/RegisterSSLCerts.h
# Suppress false positive stack-buffer errors in thread stack allocation
# Related to ASan's __asan_handle_no_return warnings (github.com/google/sanitizers/issues/189)
# These occur during multi-threaded test initialization on macOS
interceptor_name:memcpy
interceptor_name:__bzero
interceptor_name:__asan_memset
interceptor_name:__asan_memcpy

View File

@@ -0,0 +1,16 @@
# The idea is to empty this file gradually by fixing the underlying issues and removing suppresions.
# Suppress leaks detected by asan in rippled code.
leak:src/libxrpl/net/HTTPClient.cpp
leak:src/libxrpl/net/RegisterSSLCerts.cpp
leak:src/tests/libxrpl/net/HTTPClient.cpp
leak:xrpl/net/AutoSocket.h
leak:xrpl/net/HTTPClient.h
leak:xrpl/net/HTTPClientSSLContext.h
leak:xrpl/net/RegisterSSLCerts.h
leak:ripple::HTTPClient
leak:ripple::HTTPClientImp
# Suppress leaks detected by asan in boost code.
leak:boost::asio
leak:boost/asio

View File

@@ -0,0 +1,27 @@
deadlock:libxrpl/beast/utility/beast_Journal.cpp
deadlock:libxrpl/beast/utility/beast_Journal.cpp
deadlock:libxrpl/beast/utility/beast_PropertyStream.cpp
deadlock:test/beast/beast_PropertyStream_test.cpp
deadlock:xrpld/core/detail/Workers.cpp
deadlock:xrpld/core/JobQueue.cpp
race:libxrpl/beast/utility/beast_Journal.cpp
race:libxrpl/beast/utility/beast_Journal.cpp
race:libxrpl/beast/utility/beast_PropertyStream.cpp
race:test/beast/beast_PropertyStream_test.cpp
race:xrpld/core/detail/Workers.cpp
race:xrpld/core/JobQueue.cpp
signal:libxrpl/beast/utility/beast_Journal.cpp
signal:libxrpl/beast/utility/beast_Journal.cpp
signal:libxrpl/beast/utility/beast_PropertyStream.cpp
signal:test/beast/beast_PropertyStream_test.cpp
signal:xrpld/core/detail/Workers.cpp
signal:xrpld/core/JobQueue.cpp
src:beast/utility/beast_Journal.cpp
src:beast/utility/beast_PropertyStream.cpp
src:core/detail/Workers.cpp
src:core/JobQueue.cpp
src:libxrpl/beast/utility/beast_Journal.cpp
src:test/beast/beast_PropertyStream_test.cpp

View File

@@ -0,0 +1,102 @@
# The idea is to empty this file gradually by fixing the underlying issues and removing suppresions.
# Suppress race in Boost ASIO scheduler detected by GCC-15
# This is a false positive in Boost's internal pipe() synchronization
race:boost/asio/
race:boost/context/
race:boost/asio/executor.hpp
race:boost::asio
# Suppress tsan related issues in rippled code.
race:src/libxrpl/basics/make_SSLContext.cpp
race:src/libxrpl/basics/Number.cpp
race:src/libxrpl/json/json_value.cpp
race:src/libxrpl/json/to_string.cpp
race:src/libxrpl/ledger/OpenView.cpp
race:src/libxrpl/net/HTTPClient.cpp
race:src/libxrpl/nodestore/backend/NuDBFactory.cpp
race:src/libxrpl/protocol/InnerObjectFormats.cpp
race:src/libxrpl/protocol/STParsedJSON.cpp
race:src/libxrpl/resource/ResourceManager.cpp
race:src/test/app/Flow_test.cpp
race:src/test/app/LedgerReplay_test.cpp
race:src/test/app/NFToken_test.cpp
race:src/test/app/Offer_test.cpp
race:src/test/app/ValidatorSite_test.cpp
race:src/test/consensus/NegativeUNL_test.cpp
race:src/test/jtx/impl/Env.cpp
race:src/test/jtx/impl/JSONRPCClient.cpp
race:src/test/jtx/impl/pay.cpp
race:src/test/jtx/impl/token.cpp
race:src/test/rpc/Book_test.cpp
race:src/xrpld/app/ledger/detail/InboundTransactions.cpp
race:src/xrpld/app/main/Application.cpp
race:src/xrpld/app/main/BasicApp.cpp
race:src/xrpld/app/main/GRPCServer.cpp
race:src/xrpld/app/misc/detail/AmendmentTable.cpp
race:src/xrpld/app/misc/FeeVoteImpl.cpp
race:src/xrpld/app/rdb/detail/Wallet.cpp
race:src/xrpld/overlay/detail/OverlayImpl.cpp
race:src/xrpld/peerfinder/detail/PeerfinderManager.cpp
race:src/xrpld/peerfinder/detail/SourceStrings.cpp
race:src/xrpld/rpc/detail/ServerHandler.cpp
race:xrpl/server/detail/Door.h
race:xrpl/server/detail/Spawn.h
race:xrpl/server/detail/ServerImpl.h
race:xrpl/nodestore/detail/DatabaseNodeImp.h
race:src/libxrpl/beast/utility/beast_Journal.cpp
race:src/test/beast/LexicalCast_test.cpp
race:ripple::ServerHandler
# More suppressions in external library code.
race:crtstuff.c
race:pipe
# Deadlock / lock-order-inversion suppressions
# Note: GCC's TSAN may not fully support all deadlock suppression patterns
deadlock:src/libxrpl/beast/utility/beast_Journal.cpp
deadlock:src/libxrpl/beast/utility/beast_PropertyStream.cpp
deadlock:src/test/beast/beast_PropertyStream_test.cpp
deadlock:src/xrpld/core/detail/Workers.cpp
deadlock:src/xrpld/app/misc/detail/Manifest.cpp
deadlock:src/xrpld/app/misc/detail/ValidatorList.cpp
deadlock:src/xrpld/app/misc/detail/ValidatorSite.cpp
signal:src/libxrpl/beast/utility/beast_Journal.cpp
signal:src/xrpld/core/detail/Workers.cpp
signal:src/xrpld/core/JobQueue.cpp
signal:ripple::Workers::Worker
# Aggressive suppressing of deadlock tsan errors
deadlock:pthread_create
deadlock:pthread_rwlock_rdlock
deadlock:boost::asio
# Suppress SEGV crashes in TSAN itself during stringbuf operations
# This appears to be a GCC-15 TSAN instrumentation issue with basic_stringbuf::str()
# Commonly triggered in beast::Journal::ScopedStream destructor
signal:std::__cxx11::basic_stringbuf
signal:basic_stringbuf
signal:basic_ostringstream
called_from_lib:libclang_rt
race:ostreambuf_iterator
race:basic_ostream
# Suppress SEGV in Boost ASIO memory allocation with GCC-15 TSAN
signal:boost::asio::aligned_new
signal:boost::asio::detail::memory
# Suppress SEGV in execute_native_thread_routine
signal:execute_native_thread_routine
# Suppress data race in Boost Context fiber management
# This is a false positive in Boost's exception state management during fiber context switching
race:__cxxabiv1::manage_exception_state
race:boost::context::fiber::resume
race:boost::asio::detail::spawned_fiber_thread
race:boost::asio::detail::spawned_fiber_thread::suspend_with
race:boost::asio::detail::spawned_fiber_thread::destroy
# Suppress data race in __tsan_memcpy called from Boost fiber operations
race:__tsan_memcpy

View File

@@ -0,0 +1,234 @@
# The idea is to empty this file gradually by fixing the underlying issues and removing suppresions.
# Suppress UBSan errors in external code by source file path
# This matches any source file under the external/ directory
alignment:external
bool:external
bounds:external
cfi:external
enum:external
float-cast-overflow:external
float-divide-by-zero:external
function:external
implicit-integer-sign-change:external
implicit-signed-integer-truncation::external
implicit-signed-integer-truncation:external
implicit-unsigned-integer-truncation:external
integer-divide-by-zero:external
invalid-builtin-use:external
invalid-objc-cast:external
nonnull-attribute:external
null:external
nullability-arg:external
nullability-assign:external
nullability-return:external
object-size:external
pointer-overflow:external
return:external
returns-nonnull-attribute:external
shift-base:external
shift-exponent:external
signed-integer-overflow:external
undefined:external
unreachable:external
unsigned-integer-overflow:external
vla-bound:external
vptr_check:external
vptr:external
# Suppress all UBSan errors in Boost libraries
# This matches any files containing "boost" in its path or name
alignment:boost
bool:boost
bounds:boost
cfi:boost
enum:boost
float-cast-overflow:boost
float-divide-by-zero:boost
function:boost
implicit-integer-sign-change:boost
implicit-signed-integer-truncation:boost
implicit-unsigned-integer-truncation:boost
integer-divide-by-zero:boost
invalid-builtin-use:boost
invalid-objc-cast:boost
nonnull-attribute:boost
null:boost
nullability-arg:boost
nullability-assign:boost
nullability-return:boost
object-size:boost
pointer-overflow:boost
return:boost
returns-nonnull-attribute:boost
shift-base:boost
shift-exponent:boost
signed-integer-overflow:boost
undefined:boost
unreachable:boost
unsigned-integer-overflow:boost
vla-bound:boost
vptr_check:boost
vptr:boost
# Google protobuf
undefined:protobuf
# Suppress UBSan errors in rippled code by source file path
undefined:src/libxrpl/basics/base64.cpp
undefined:src/libxrpl/basics/Number.cpp
undefined:src/libxrpl/beast/utility/beast_Journal.cpp
undefined:src/libxrpl/crypto/RFC1751.cpp
undefined:src/libxrpl/ledger/ApplyView.cpp
undefined:src/libxrpl/ledger/View.cpp
undefined:src/libxrpl/protocol/Permissions.cpp
undefined:src/libxrpl/protocol/STAmount.cpp
undefined:src/libxrpl/protocol/STPathSet.cpp
undefined:src/libxrpl/protocol/tokens.cpp
undefined:src/libxrpl/shamap/SHAMap.cpp
undefined:src/test/app/Batch_test.cpp
undefined:src/test/app/Invariants_test.cpp
undefined:src/test/app/NFToken_test.cpp
undefined:src/test/app/Offer_test.cpp
undefined:src/test/app/Path_test.cpp
undefined:src/test/basics/XRPAmount_test.cpp
undefined:src/test/beast/LexicalCast_test.cpp
undefined:src/test/jtx/impl/acctdelete.cpp
undefined:src/test/ledger/SkipList_test.cpp
undefined:src/test/rpc/Subscribe_test.cpp
undefined:src/tests/libxrpl/basics/RangeSet.cpp
undefined:src/xrpld/app/main/BasicApp.cpp
undefined:src/xrpld/app/main/BasicApp.cpp
undefined:src/xrpld/app/misc/detail/AmendmentTable.cpp
undefined:src/xrpld/app/misc/NetworkOPs.cpp
undefined:src/libxrpl/json/json_value.cpp
undefined:src/xrpld/app/paths/detail/StrandFlow.h
undefined:src/xrpld/app/tx/detail/NFTokenMint.cpp
undefined:src/xrpld/app/tx/detail/SetOracle.cpp
undefined:src/xrpld/core/detail/JobQueue.cpp
undefined:src/xrpld/core/detail/Workers.cpp
undefined:src/xrpld/rpc/detail/Role.cpp
undefined:src/xrpld/rpc/handlers/GetAggregatePrice.cpp
undefined:xrpl/basics/base_uint.h
undefined:xrpl/basics/DecayingSample.h
undefined:xrpl/beast/test/yield_to.h
undefined:xrpl/beast/xor_shift_engine.h
undefined:xrpl/nodestore/detail/varint.h
undefined:xrpl/peerfinder/detail/Counts.h
undefined:xrpl/protocol/nft.h
# basic_string.h:483:51: runtime error: unsigned integer overflow
unsigned-integer-overflow:basic_string.h
unsigned-integer-overflow:bits/chrono.h
unsigned-integer-overflow:bits/random.h
unsigned-integer-overflow:bits/random.tcc
unsigned-integer-overflow:bits/stl_algobase.h
unsigned-integer-overflow:bits/uniform_int_dist.h
unsigned-integer-overflow:string_view
# runtime error: unsigned integer overflow: 0 - 1 cannot be represented in type 'std::size_t' (aka 'unsigned long')
unsigned-integer-overflow:src/libxrpl/basics/base64.cpp
unsigned-integer-overflow:src/libxrpl/basics/Number.cpp
unsigned-integer-overflow:src/libxrpl/crypto/RFC1751.cpp
unsigned-integer-overflow:rc/libxrpl/json/json_value.cpp
unsigned-integer-overflow:src/libxrpl/ledger/ApplyView.cpp
unsigned-integer-overflow:src/libxrpl/ledger/View.cpp
unsigned-integer-overflow:src/libxrpl/protocol/Permissions.cpp
unsigned-integer-overflow:src/libxrpl/protocol/STAmount.cpp
unsigned-integer-overflow:src/libxrpl/protocol/STPathSet.cpp
unsigned-integer-overflow:src/libxrpl/protocol/tokens.cpp
unsigned-integer-overflow:src/libxrpl/shamap/SHAMap.cpp
unsigned-integer-overflow:src/test/app/Batch_test.cpp
unsigned-integer-overflow:src/test/app/Invariants_test.cpp
unsigned-integer-overflow:src/test/app/NFToken_test.cpp
unsigned-integer-overflow:src/test/app/Offer_test.cpp
unsigned-integer-overflow:src/test/app/Path_test.cpp
unsigned-integer-overflow:src/test/basics/XRPAmount_test.cpp
unsigned-integer-overflow:src/test/beast/LexicalCast_test.cpp
unsigned-integer-overflow:src/test/jtx/impl/acctdelete.cpp
unsigned-integer-overflow:src/test/ledger/SkipList_test.cpp
unsigned-integer-overflow:src/test/rpc/Subscribe_test.cpp
unsigned-integer-overflow:src/tests/libxrpl/basics/RangeSet.cpp
unsigned-integer-overflow:src/xrpld/app/main/BasicApp.cpp
unsigned-integer-overflow:src/xrpld/app/misc/detail/AmendmentTable.cpp
unsigned-integer-overflow:src/xrpld/app/misc/NetworkOPs.cpp
unsigned-integer-overflow:src/xrpld/app/paths/detail/StrandFlow.h
unsigned-integer-overflow:src/xrpld/app/tx/detail/NFTokenMint.cpp
unsigned-integer-overflow:src/xrpld/app/tx/detail/SetOracle.cpp
unsigned-integer-overflow:src/xrpld/rpc/detail/Role.cpp
unsigned-integer-overflow:src/xrpld/rpc/handlers/GetAggregatePrice.cpp
unsigned-integer-overflow:xrpl/basics/base_uint.h
unsigned-integer-overflow:xrpl/basics/DecayingSample.h
unsigned-integer-overflow:xrpl/beast/test/yield_to.h
unsigned-integer-overflow:xrpl/beast/xor_shift_engine.h
unsigned-integer-overflow:xrpl/nodestore/detail/varint.h
unsigned-integer-overflow:xrpl/peerfinder/detail/Counts.h
unsigned-integer-overflow:xrpl/protocol/nft.h
# Rippled intentional overflows and operations
# STAmount uses intentional negation of INT64_MIN and overflow in arithmetic
signed-integer-overflow:src/libxrpl/protocol/STAmount.cpp
unsigned-integer-overflow:src/libxrpl/protocol/STAmount.cpp
# XRPAmount test intentional overflows
signed-integer-overflow:src/test/basics/XRPAmount_test.cpp
# Peerfinder intentional overflow in counter arithmetic
unsigned-integer-overflow:src/xrpld/peerfinder/detail/Counts.h
# Signed integer overflow suppressions
signed-integer-overflow:src/test/beast/LexicalCast_test.cpp
# External library suppressions
unsigned-integer-overflow:nudb/detail/xxhash.hpp
# Protobuf intentional overflows in hash functions
# Protobuf uses intentional unsigned overflow for hash computation (stringpiece.h:393)
unsigned-integer-overflow:google/protobuf/stubs/stringpiece.h
# gRPC intentional overflows
# gRPC uses intentional overflow in timer calculations
unsigned-integer-overflow:grpc
unsigned-integer-overflow:timer_manager.cc
# Standard library intentional overflows
# These are intentional overflows in random number generation and character conversion
unsigned-integer-overflow:__random/seed_seq.h
unsigned-integer-overflow:__charconv/traits.h
# Suppress errors in RocksDB
# RocksDB uses intentional unsigned integer overflows in hash functions and CRC calculations
unsigned-integer-overflow:rocks*/b/src/util/xxhash.h
unsigned-integer-overflow:rocks*/b/src/util/xxph3.h
unsigned-integer-overflow:rocks*/b/src/util/hash.cc
unsigned-integer-overflow:rocks*/b/src/util/crc32c.cc
unsigned-integer-overflow:rocks*/b/src/util/crc32c.h
unsigned-integer-overflow:rocks*/b/src/include/rocksdb/utilities/options_type.h
unsigned-integer-overflow:rocks*/b/src/table/format.h
unsigned-integer-overflow:rocks*/b/src/table/format.cc
unsigned-integer-overflow:rocks*/b/src/table/block_based/block_based_table_builder.cc
unsigned-integer-overflow:rocks*/b/src/table/block_based/reader_common.cc
unsigned-integer-overflow:rocks*/b/src/db/version_set.cc
# RocksDB misaligned loads (intentional for performance on ARM64)
alignment:rocks*/b/src/util/crc32c_arm64.cc
# nudb intentional overflows in hash functions
unsigned-integer-overflow:nudb/detail/xxhash.hpp
alignment:nudb/detail/xxhash.hpp
# Snappy compression library intentional overflows
unsigned-integer-overflow:snapp*/b/src/snappy.cc
# Abseil intentional overflows
unsigned-integer-overflow:abse*/b/src/absl/strings/numbers.cc
unsigned-integer-overflow:abse*/b/src/absl/strings/internal/cord_rep_flat.h
# Standard library intentional overflows in chrono duration arithmetic
unsigned-integer-overflow:__chrono/duration.h
# Suppress undefined errors in RocksDB and nudb
undefined:rocks.*/b/src/util/crc32c_arm64.cc
undefined:rocks.*/b/src/util/xxhash.h
undefined:nudb

View File

@@ -30,7 +30,7 @@ Section::append(std::vector<std::string> const& lines)
// <key> '=' <value>
static boost::regex const re1(
"^" // start of line
"(?:\\s*)" // whitespace (optonal)
"(?:\\s*)" // whitespace (optional)
"([a-zA-Z][_a-zA-Z0-9]*)" // <key>
"(?:\\s*)" // whitespace (optional)
"(?:=)" // '='

View File

@@ -14,9 +14,6 @@
namespace Json {
Value const Value::null;
Int const Value::minInt = Int(~(UInt(-1) / 2));
Int const Value::maxInt = Int(UInt(-1) / 2);
UInt const Value::maxUInt = UInt(-1);
class DefaultValueAllocator : public ValueAllocator
{
@@ -550,6 +547,69 @@ Value::asInt() const
return 0; // unreachable;
}
UInt
Value::asAbsUInt() const
{
switch (type_)
{
case nullValue:
return 0;
case intValue: {
// Doing this conversion through int64 avoids overflow error for
// value_.int_ = -1 * 2^31 i.e. numeric_limits<int>::min().
if (value_.int_ < 0)
return static_cast<std::int64_t>(value_.int_) * -1;
return value_.int_;
}
case uintValue:
return value_.uint_;
case realValue: {
if (value_.real_ < 0)
{
JSON_ASSERT_MESSAGE(
-1 * value_.real_ <= maxUInt,
"Real out of unsigned integer range");
return UInt(-1 * value_.real_);
}
JSON_ASSERT_MESSAGE(
value_.real_ <= maxUInt, "Real out of unsigned integer range");
return UInt(value_.real_);
}
case booleanValue:
return value_.bool_ ? 1 : 0;
case stringValue: {
char const* const str{value_.string_ ? value_.string_ : ""};
auto const temp = beast::lexicalCastThrow<std::int64_t>(str);
if (temp < 0)
{
JSON_ASSERT_MESSAGE(
-1 * temp <= maxUInt,
"String out of unsigned integer range");
return -1 * temp;
}
JSON_ASSERT_MESSAGE(
temp <= maxUInt, "String out of unsigned integer range");
return temp;
}
case arrayValue:
case objectValue:
JSON_ASSERT_MESSAGE(false, "Type is not convertible to int");
// LCOV_EXCL_START
default:
UNREACHABLE("Json::Value::asAbsInt : invalid type");
// LCOV_EXCL_STOP
}
return 0; // unreachable;
}
Value::UInt
Value::asUInt() const
{

View File

@@ -1863,7 +1863,7 @@ rippleSendIOU(
// Direct send: redeeming IOUs and/or sending own IOUs.
auto const ter =
rippleCreditIOU(view, uSenderID, uReceiverID, saAmount, false, j);
if (view.rules().enabled(featureDeletableAccounts) && ter != tesSUCCESS)
if (ter != tesSUCCESS)
return ter;
saActual = saAmount;
return tesSUCCESS;
@@ -2885,7 +2885,7 @@ assetsToSharesDeposit(
.truncate()};
Number const shareTotal = issuance->at(sfOutstandingAmount);
shares = (shareTotal * (assets / assetTotal)).truncate();
shares = ((shareTotal * assets) / assetTotal).truncate();
return shares;
}
@@ -2914,7 +2914,7 @@ sharesToAssetsDeposit(
false};
Number const shareTotal = issuance->at(sfOutstandingAmount);
assets = assetTotal * (shares / shareTotal);
assets = (assetTotal * shares) / shareTotal;
return assets;
}
@@ -2940,7 +2940,7 @@ assetsToSharesWithdraw(
if (assetTotal == 0)
return shares;
Number const shareTotal = issuance->at(sfOutstandingAmount);
Number result = shareTotal * (assets / assetTotal);
Number result = (shareTotal * assets) / assetTotal;
if (truncate == TruncateShares::yes)
result = result.truncate();
shares = result;
@@ -2968,7 +2968,7 @@ sharesToAssetsWithdraw(
if (assetTotal == 0)
return assets;
Number const shareTotal = issuance->at(sfOutstandingAmount);
assets = assetTotal * (shares / shareTotal);
assets = (assetTotal * shares) / shareTotal;
return assets;
}

View File

@@ -17,7 +17,7 @@ namespace BuildInfo {
// and follow the format described at http://semver.org/
//------------------------------------------------------------------------------
// clang-format off
char const* const versionString = "3.0.0-b1"
char const* const versionString = "3.1.0-b0"
// clang-format on
#if defined(DEBUG) || defined(SANITIZER)

Some files were not shown because too many files have changed in this diff Show More