Compare commits

..

2 Commits

Author SHA1 Message Date
Pratik Mankawde
060eff0cf4 removed amendmend code
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-10-29 10:50:00 +00:00
Pratik Mankawde
0a41305a75 removed from feature file
Signed-off-by: Pratik Mankawde <pmankawde@ripple.com>
2025-10-28 16:04:43 +00:00
1459 changed files with 49736 additions and 9155 deletions

View File

@@ -4,23 +4,20 @@ description: "Install Conan dependencies, optionally forcing a rebuild of all de
# Note that actions do not support 'type' and all inputs are strings, see # Note that actions do not support 'type' and all inputs are strings, see
# https://docs.github.com/en/actions/reference/workflows-and-actions/metadata-syntax#inputs. # https://docs.github.com/en/actions/reference/workflows-and-actions/metadata-syntax#inputs.
inputs: inputs:
verbosity:
description: "The build verbosity."
required: false
default: "verbose"
build_dir: build_dir:
description: "The directory where to build." description: "The directory where to build."
required: true required: true
build_type: build_type:
description: 'The build type to use ("Debug", "Release").' description: 'The build type to use ("Debug", "Release").'
required: true required: true
build_nproc:
description: "The number of processors to use for building."
required: true
force_build: force_build:
description: 'Force building of all dependencies ("true", "false").' description: 'Force building of all dependencies ("true", "false").'
required: false required: false
default: "false" default: "false"
log_verbosity:
description: "The logging verbosity."
required: false
default: "verbose"
runs: runs:
using: composite using: composite
@@ -29,10 +26,9 @@ runs:
shell: bash shell: bash
env: env:
BUILD_DIR: ${{ inputs.build_dir }} BUILD_DIR: ${{ inputs.build_dir }}
BUILD_NPROC: ${{ inputs.build_nproc }}
BUILD_OPTION: ${{ inputs.force_build == 'true' && '*' || 'missing' }} BUILD_OPTION: ${{ inputs.force_build == 'true' && '*' || 'missing' }}
BUILD_TYPE: ${{ inputs.build_type }} BUILD_TYPE: ${{ inputs.build_type }}
LOG_VERBOSITY: ${{ inputs.log_verbosity }} VERBOSITY: ${{ inputs.verbosity }}
run: | run: |
echo 'Installing dependencies.' echo 'Installing dependencies.'
mkdir -p "${BUILD_DIR}" mkdir -p "${BUILD_DIR}"
@@ -43,7 +39,6 @@ runs:
--options:host='&:tests=True' \ --options:host='&:tests=True' \
--options:host='&:xrpld=True' \ --options:host='&:xrpld=True' \
--settings:all build_type="${BUILD_TYPE}" \ --settings:all build_type="${BUILD_TYPE}" \
--conf:all tools.build:jobs=${BUILD_NPROC} \ --conf:all tools.build:verbosity="${VERBOSITY}" \
--conf:all tools.build:verbosity="${LOG_VERBOSITY}" \ --conf:all tools.compilation:verbosity="${VERBOSITY}" \
--conf:all tools.compilation:verbosity="${LOG_VERBOSITY}" \
.. ..

View File

@@ -17,7 +17,7 @@ Loop: xrpld.app xrpld.rpc
xrpld.rpc > xrpld.app xrpld.rpc > xrpld.app
Loop: xrpld.app xrpld.shamap Loop: xrpld.app xrpld.shamap
xrpld.shamap ~= xrpld.app xrpld.app > xrpld.shamap
Loop: xrpld.core xrpld.perflog Loop: xrpld.core xrpld.perflog
xrpld.perflog == xrpld.core xrpld.perflog == xrpld.core

View File

@@ -8,10 +8,6 @@ libxrpl.ledger > xrpl.ledger
libxrpl.ledger > xrpl.protocol libxrpl.ledger > xrpl.protocol
libxrpl.net > xrpl.basics libxrpl.net > xrpl.basics
libxrpl.net > xrpl.net libxrpl.net > xrpl.net
libxrpl.nodestore > xrpl.basics
libxrpl.nodestore > xrpl.json
libxrpl.nodestore > xrpl.nodestore
libxrpl.nodestore > xrpl.protocol
libxrpl.protocol > xrpl.basics libxrpl.protocol > xrpl.basics
libxrpl.protocol > xrpl.json libxrpl.protocol > xrpl.json
libxrpl.protocol > xrpl.protocol libxrpl.protocol > xrpl.protocol
@@ -22,9 +18,6 @@ libxrpl.server > xrpl.basics
libxrpl.server > xrpl.json libxrpl.server > xrpl.json
libxrpl.server > xrpl.protocol libxrpl.server > xrpl.protocol
libxrpl.server > xrpl.server libxrpl.server > xrpl.server
libxrpl.shamap > xrpl.basics
libxrpl.shamap > xrpl.protocol
libxrpl.shamap > xrpl.shamap
test.app > test.jtx test.app > test.jtx
test.app > test.rpc test.app > test.rpc
test.app > test.toplevel test.app > test.toplevel
@@ -32,11 +25,11 @@ test.app > test.unit_test
test.app > xrpl.basics test.app > xrpl.basics
test.app > xrpld.app test.app > xrpld.app
test.app > xrpld.core test.app > xrpld.core
test.app > xrpld.nodestore
test.app > xrpld.overlay test.app > xrpld.overlay
test.app > xrpld.rpc test.app > xrpld.rpc
test.app > xrpl.json test.app > xrpl.json
test.app > xrpl.ledger test.app > xrpl.ledger
test.app > xrpl.nodestore
test.app > xrpl.protocol test.app > xrpl.protocol
test.app > xrpl.resource test.app > xrpl.resource
test.basics > test.jtx test.basics > test.jtx
@@ -93,7 +86,8 @@ test.nodestore > test.toplevel
test.nodestore > test.unit_test test.nodestore > test.unit_test
test.nodestore > xrpl.basics test.nodestore > xrpl.basics
test.nodestore > xrpld.core test.nodestore > xrpld.core
test.nodestore > xrpl.nodestore test.nodestore > xrpld.nodestore
test.nodestore > xrpld.unity
test.overlay > test.jtx test.overlay > test.jtx
test.overlay > test.toplevel test.overlay > test.toplevel
test.overlay > test.unit_test test.overlay > test.unit_test
@@ -101,8 +95,8 @@ test.overlay > xrpl.basics
test.overlay > xrpld.app test.overlay > xrpld.app
test.overlay > xrpld.overlay test.overlay > xrpld.overlay
test.overlay > xrpld.peerfinder test.overlay > xrpld.peerfinder
test.overlay > xrpld.shamap
test.overlay > xrpl.protocol test.overlay > xrpl.protocol
test.overlay > xrpl.shamap
test.peerfinder > test.beast test.peerfinder > test.beast
test.peerfinder > test.unit_test test.peerfinder > test.unit_test
test.peerfinder > xrpl.basics test.peerfinder > xrpl.basics
@@ -137,9 +131,9 @@ test.server > xrpl.json
test.server > xrpl.server test.server > xrpl.server
test.shamap > test.unit_test test.shamap > test.unit_test
test.shamap > xrpl.basics test.shamap > xrpl.basics
test.shamap > xrpl.nodestore test.shamap > xrpld.nodestore
test.shamap > xrpld.shamap
test.shamap > xrpl.protocol test.shamap > xrpl.protocol
test.shamap > xrpl.shamap
test.toplevel > test.csf test.toplevel > test.csf
test.toplevel > xrpl.json test.toplevel > xrpl.json
test.unit_test > xrpl.basics test.unit_test > xrpl.basics
@@ -150,8 +144,6 @@ xrpl.json > xrpl.basics
xrpl.ledger > xrpl.basics xrpl.ledger > xrpl.basics
xrpl.ledger > xrpl.protocol xrpl.ledger > xrpl.protocol
xrpl.net > xrpl.basics xrpl.net > xrpl.basics
xrpl.nodestore > xrpl.basics
xrpl.nodestore > xrpl.protocol
xrpl.protocol > xrpl.basics xrpl.protocol > xrpl.basics
xrpl.protocol > xrpl.json xrpl.protocol > xrpl.json
xrpl.resource > xrpl.basics xrpl.resource > xrpl.basics
@@ -160,21 +152,17 @@ xrpl.resource > xrpl.protocol
xrpl.server > xrpl.basics xrpl.server > xrpl.basics
xrpl.server > xrpl.json xrpl.server > xrpl.json
xrpl.server > xrpl.protocol xrpl.server > xrpl.protocol
xrpl.shamap > xrpl.basics
xrpl.shamap > xrpl.nodestore
xrpl.shamap > xrpl.protocol
xrpld.app > test.unit_test xrpld.app > test.unit_test
xrpld.app > xrpl.basics xrpld.app > xrpl.basics
xrpld.app > xrpld.conditions xrpld.app > xrpld.conditions
xrpld.app > xrpld.consensus xrpld.app > xrpld.consensus
xrpld.app > xrpld.nodestore
xrpld.app > xrpld.perflog xrpld.app > xrpld.perflog
xrpld.app > xrpl.json xrpld.app > xrpl.json
xrpld.app > xrpl.ledger xrpld.app > xrpl.ledger
xrpld.app > xrpl.net xrpld.app > xrpl.net
xrpld.app > xrpl.nodestore
xrpld.app > xrpl.protocol xrpld.app > xrpl.protocol
xrpld.app > xrpl.resource xrpld.app > xrpl.resource
xrpld.app > xrpl.shamap
xrpld.conditions > xrpl.basics xrpld.conditions > xrpl.basics
xrpld.conditions > xrpl.protocol xrpld.conditions > xrpl.protocol
xrpld.consensus > xrpl.basics xrpld.consensus > xrpl.basics
@@ -184,6 +172,11 @@ xrpld.core > xrpl.basics
xrpld.core > xrpl.json xrpld.core > xrpl.json
xrpld.core > xrpl.net xrpld.core > xrpl.net
xrpld.core > xrpl.protocol xrpld.core > xrpl.protocol
xrpld.nodestore > xrpl.basics
xrpld.nodestore > xrpld.core
xrpld.nodestore > xrpld.unity
xrpld.nodestore > xrpl.json
xrpld.nodestore > xrpl.protocol
xrpld.overlay > xrpl.basics xrpld.overlay > xrpl.basics
xrpld.overlay > xrpld.core xrpld.overlay > xrpld.core
xrpld.overlay > xrpld.peerfinder xrpld.overlay > xrpld.peerfinder
@@ -199,11 +192,13 @@ xrpld.perflog > xrpl.basics
xrpld.perflog > xrpl.json xrpld.perflog > xrpl.json
xrpld.rpc > xrpl.basics xrpld.rpc > xrpl.basics
xrpld.rpc > xrpld.core xrpld.rpc > xrpld.core
xrpld.rpc > xrpld.nodestore
xrpld.rpc > xrpl.json xrpld.rpc > xrpl.json
xrpld.rpc > xrpl.ledger xrpld.rpc > xrpl.ledger
xrpld.rpc > xrpl.net xrpld.rpc > xrpl.net
xrpld.rpc > xrpl.nodestore
xrpld.rpc > xrpl.protocol xrpld.rpc > xrpl.protocol
xrpld.rpc > xrpl.resource xrpld.rpc > xrpl.resource
xrpld.rpc > xrpl.server xrpld.rpc > xrpl.server
xrpld.shamap > xrpl.shamap xrpld.shamap > xrpl.basics
xrpld.shamap > xrpld.nodestore
xrpld.shamap > xrpl.protocol

View File

@@ -1,36 +0,0 @@
## Renaming ripple(d) to xrpl(d)
In the initial phases of development of the XRPL, the open source codebase was
called "rippled" and it remains with that name even today. Today, over 1000
nodes run the application, and code contributions have been submitted by
developers located around the world. The XRPL community is larger than ever.
In light of the decentralized and diversified nature of XRPL, we will rename any
references to `ripple` and `rippled` to `xrpl` and `xrpld`, when appropriate.
See [here](https://xls.xrpl.org/xls/XLS-0095-rename-rippled-to-xrpld.html) for
more information.
### Scripts
To facilitate this transition, there will be multiple scripts that developers
can run on their own PRs and forks to minimize conflicts. Each script should be
run from the repository root.
1. `.github/scripts/rename/definitions.sh`: This script will rename all
definitions, such as include guards, from `RIPPLE_XXX` and `RIPPLED_XXX` to
`XRPL_XXX`.
2. `.github/scripts/rename/copyright.sh`: This script will remove superflous
copyright notices.
3. `.github/scripts/rename/cmake.sh`: This script will rename all CMake files
from `RippleXXX.cmake` or `RippledXXX.cmake` to `XrplXXX.cmake`, and any
references to `ripple` and `rippled` (with or without capital letters) to
`xrpl` and `xrpld`, respectively. The name of the binary will remain as-is,
and will only be renamed to `xrpld` by a later script.
You can run all these scripts from the repository root as follows:
```shell
./.github/scripts/rename/definitions.sh .
./.github/scripts/rename/copyright.sh .
./.github/scripts/rename/cmake.sh .
```

View File

@@ -1,92 +0,0 @@
#!/bin/bash
# Exit the script as soon as an error occurs.
set -e
# On MacOS, ensure that GNU sed and head are installed and available as `gsed`
# and `ghead`, respectively.
SED_COMMAND=sed
HEAD_COMMAND=head
if [[ "${OSTYPE}" == 'darwin'* ]]; then
if ! command -v gsed &> /dev/null; then
echo "Error: gsed is not installed. Please install it using 'brew install gnu-sed'."
exit 1
fi
SED_COMMAND=gsed
if ! command -v ghead &> /dev/null; then
echo "Error: ghead is not installed. Please install it using 'brew install coreutils'."
exit 1
fi
HEAD_COMMAND=ghead
fi
# This script renames CMake files from `RippleXXX.cmake` or `RippledXXX.cmake`
# to `XrplXXX.cmake`, and any references to `ripple` and `rippled` (with or
# without capital letters) to `xrpl` and `xrpld`, respectively. The name of the
# binary will remain as-is, and will only be renamed to `xrpld` in a different
# script, but the proto file will be renamed.
# Usage: .github/scripts/rename/cmake.sh <repository directory>
if [ "$#" -ne 1 ]; then
echo "Usage: $0 <repository directory>"
exit 1
fi
DIRECTORY=$1
echo "Processing directory: ${DIRECTORY}"
if [ ! -d "${DIRECTORY}" ]; then
echo "Error: Directory '${DIRECTORY}' does not exist."
exit 1
fi
pushd ${DIRECTORY}
# Rename the files.
find cmake -type f -name 'Rippled*.cmake' -exec bash -c 'mv "${1}" "${1/Rippled/Xrpl}"' - {} \;
find cmake -type f -name 'Ripple*.cmake' -exec bash -c 'mv "${1}" "${1/Ripple/Xrpl}"' - {} \;
if [ -e cmake/xrpl_add_test.cmake ]; then
mv cmake/xrpl_add_test.cmake cmake/XrplAddTest.cmake
fi
if [ -e include/xrpl/proto/ripple.proto ]; then
mv include/xrpl/proto/ripple.proto include/xrpl/proto/xrpl.proto
fi
# Rename inside the files.
find cmake -type f -name '*.cmake' | while read -r FILE; do
echo "Processing file: ${FILE}"
${SED_COMMAND} -i 's/Rippled/Xrpld/g' "${FILE}"
${SED_COMMAND} -i 's/Ripple/Xrpl/g' "${FILE}"
${SED_COMMAND} -i 's/rippled/xrpld/g' "${FILE}"
${SED_COMMAND} -i 's/ripple/xrpl/g' "${FILE}"
done
${SED_COMMAND} -i -E 's/Rippled?/Xrpl/g' CMakeLists.txt
${SED_COMMAND} -i 's/ripple/xrpl/g' CMakeLists.txt
${SED_COMMAND} -i 's/include(xrpl_add_test)/include(XrplAddTest)/' src/tests/libxrpl/CMakeLists.txt
${SED_COMMAND} -i 's/ripple.pb.h/xrpl.pb.h/' include/xrpl/protocol/messages.h
${SED_COMMAND} -i 's/ripple.pb.h/xrpl.pb.h/' BUILD.md
${SED_COMMAND} -i 's/ripple.pb.h/xrpl.pb.h/' BUILD.md
# Restore the name of the validator keys repository.
${SED_COMMAND} -i 's@xrpl/validator-keys-tool@ripple/validator-keys-tool@' cmake/XrplValidatorKeys.cmake
# Ensure the name of the binary and config remain 'rippled' for now.
${SED_COMMAND} -i -E 's/xrpld(-example)?\.cfg/rippled\1.cfg/g' cmake/XrplInstall.cmake
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
${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

@@ -1,103 +0,0 @@
#!/bin/bash
# Exit the script as soon as an error occurs.
set -e
# On MacOS, ensure that GNU sed is installed and available as `gsed`.
SED_COMMAND=sed
if [[ "${OSTYPE}" == 'darwin'* ]]; then
if ! command -v gsed &> /dev/null; then
echo "Error: gsed is not installed. Please install it using 'brew install gnu-sed'."
exit 1
fi
SED_COMMAND=gsed
fi
# This script removes superfluous copyright notices in source and header files
# in this project. Specifically, it removes all notices referencing Ripple,
# XRPLF, and certain individual contributors upon mutual agreement, so the one
# in the LICENSE.md file applies throughout. Copyright notices referencing
# external contributions, e.g. from Bitcoin, remain as-is.
# Usage: .github/scripts/rename/copyright.sh <repository directory>
if [ "$#" -ne 1 ]; then
echo "Usage: $0 <repository directory>"
exit 1
fi
DIRECTORY=$1
echo "Processing directory: ${DIRECTORY}"
if [ ! -d "${DIRECTORY}" ]; then
echo "Error: Directory '${DIRECTORY}' does not exist."
exit 1
fi
pushd ${DIRECTORY}
# Prevent sed and echo from removing newlines and tabs in string literals by
# temporarily replacing them with placeholders. This only affects one file.
PLACEHOLDER_NEWLINE="__NEWLINE__"
PLACEHOLDER_TAB="__TAB__"
${SED_COMMAND} -i -E "s@\\\n@${PLACEHOLDER_NEWLINE}@g" src/test/rpc/ValidatorInfo_test.cpp
${SED_COMMAND} -i -E "s@\\\t@${PLACEHOLDER_TAB}@g" src/test/rpc/ValidatorInfo_test.cpp
# Process the include/ and src/ directories.
DIRECTORIES=("include" "src")
for DIRECTORY in "${DIRECTORIES[@]}"; do
echo "Processing directory: ${DIRECTORY}"
find "${DIRECTORY}" -type f \( -name "*.h" -o -name "*.hpp" -o -name "*.ipp" -o -name "*.cpp" -o -name "*.macro" \) | while read -r FILE; do
echo "Processing file: ${FILE}"
# Handle the cases where the copyright notice is enclosed in /* ... */
# and usually surrounded by //---- and //======.
${SED_COMMAND} -z -i -E 's@^//-------+\n+@@' "${FILE}"
${SED_COMMAND} -z -i -E 's@^.*Copyright.+(Ripple|Bougalis|Falco|Hinnant|Null|Ritchford|XRPLF).+PERFORMANCE OF THIS SOFTWARE\.\n\*/\n+@@' "${FILE}"
${SED_COMMAND} -z -i -E 's@^//=======+\n+@@' "${FILE}"
# Handle the cases where the copyright notice is commented out with //.
${SED_COMMAND} -z -i -E 's@^//\n// Copyright.+Falco \(vinnie dot falco at gmail dot com\)\n//\n+@@' "${FILE}"
done
done
# Restore copyright notices that were removed from specific files, without
# restoring the verbiage that is already present in LICENSE.md. Ensure that if
# the script is run multiple times, duplicate notices are not added.
if ! grep -q 'Raw Material Software' include/xrpl/beast/core/CurrentThreadName.h; then
echo -e "// Portions of this file are from JUCE (http://www.juce.com).\n// Copyright (c) 2013 - Raw Material Software Ltd.\n// Please visit http://www.juce.com\n\n$(cat include/xrpl/beast/core/CurrentThreadName.h)" > include/xrpl/beast/core/CurrentThreadName.h
fi
if ! grep -q 'Dev Null' src/test/app/NetworkID_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/app/NetworkID_test.cpp)" > src/test/app/NetworkID_test.cpp
fi
if ! grep -q 'Dev Null' src/test/app/tx/apply_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/app/tx/apply_test.cpp)" > src/test/app/tx/apply_test.cpp
fi
if ! grep -q 'Dev Null' src/test/rpc/ManifestRPC_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/rpc/ManifestRPC_test.cpp)" > src/test/rpc/ManifestRPC_test.cpp
fi
if ! grep -q 'Dev Null' src/test/rpc/ValidatorInfo_test.cpp; then
echo -e "// Copyright (c) 2020 Dev Null Productions\n\n$(cat src/test/rpc/ValidatorInfo_test.cpp)" > src/test/rpc/ValidatorInfo_test.cpp
fi
if ! grep -q 'Dev Null' src/xrpld/rpc/handlers/DoManifest.cpp; then
echo -e "// Copyright (c) 2019 Dev Null Productions\n\n$(cat src/xrpld/rpc/handlers/DoManifest.cpp)" > src/xrpld/rpc/handlers/DoManifest.cpp
fi
if ! grep -q 'Dev Null' src/xrpld/rpc/handlers/ValidatorInfo.cpp; then
echo -e "// Copyright (c) 2019 Dev Null Productions\n\n$(cat src/xrpld/rpc/handlers/ValidatorInfo.cpp)" > src/xrpld/rpc/handlers/ValidatorInfo.cpp
fi
if ! grep -q 'Bougalis' include/xrpl/basics/SlabAllocator.h; then
echo -e "// Copyright (c) 2022, Nikolaos D. Bougalis <nikb@bougalis.net>\n\n$(cat include/xrpl/basics/SlabAllocator.h)" > include/xrpl/basics/SlabAllocator.h
fi
if ! grep -q 'Bougalis' include/xrpl/basics/spinlock.h; then
echo -e "// Copyright (c) 2022, Nikolaos D. Bougalis <nikb@bougalis.net>\n\n$(cat include/xrpl/basics/spinlock.h)" > include/xrpl/basics/spinlock.h
fi
if ! grep -q 'Bougalis' include/xrpl/basics/tagged_integer.h; then
echo -e "// Copyright (c) 2014, Nikolaos D. Bougalis <nikb@bougalis.net>\n\n$(cat include/xrpl/basics/tagged_integer.h)" > include/xrpl/basics/tagged_integer.h
fi
if ! grep -q 'Ritchford' include/xrpl/beast/utility/Zero.h; then
echo -e "// Copyright (c) 2014, Tom Ritchford <tom@swirly.com>\n\n$(cat include/xrpl/beast/utility/Zero.h)" > include/xrpl/beast/utility/Zero.h
fi
# Restore newlines and tabs in string literals in the affected file.
${SED_COMMAND} -i -E "s@${PLACEHOLDER_NEWLINE}@\\\n@g" src/test/rpc/ValidatorInfo_test.cpp
${SED_COMMAND} -i -E "s@${PLACEHOLDER_TAB}@\\\t@g" src/test/rpc/ValidatorInfo_test.cpp
popd
echo "Removal complete."

View File

@@ -1,42 +0,0 @@
#!/bin/bash
# Exit the script as soon as an error occurs.
set -e
# On MacOS, ensure that GNU sed is installed and available as `gsed`.
SED_COMMAND=sed
if [[ "${OSTYPE}" == 'darwin'* ]]; then
if ! command -v gsed &> /dev/null; then
echo "Error: gsed is not installed. Please install it using 'brew install gnu-sed'."
exit 1
fi
SED_COMMAND=gsed
fi
# This script renames definitions, such as include guards, in this project.
# Specifically, it renames "RIPPLED_XXX" and "RIPPLE_XXX" to "XRPL_XXX" by
# scanning all cmake, header, and source files in the specified directory and
# its subdirectories.
# Usage: .github/scripts/rename/definitions.sh <repository directory>
if [ "$#" -ne 1 ]; then
echo "Usage: $0 <repository directory>"
exit 1
fi
DIRECTORY=$1
echo "Processing directory: ${DIRECTORY}"
if [ ! -d "${DIRECTORY}" ]; then
echo "Error: Directory '${DIRECTORY}' does not exist."
exit 1
fi
find "${DIRECTORY}" -type f \( -name "*.h" -o -name "*.hpp" -o -name "*.ipp" -o -name "*.cpp" \) | while read -r FILE; do
echo "Processing file: ${FILE}"
${SED_COMMAND} -i -E 's@#(define|endif|if|ifdef|ifndef)(.*)(RIPPLED_|RIPPLE_)([A-Z0-9_]+)@#\1\2XRPL_\4@g' "${FILE}"
done
find "${DIRECTORY}" -type f \( -name "*.cmake" -o -name "*.txt" \) | while read -r FILE; do
echo "Processing file: ${FILE}"
${SED_COMMAND} -i -E 's@(RIPPLED_|RIPPLE_)([A-Z0-9_]+)@XRPL_\2@g' "${FILE}"
done
echo "Renaming complete."

View File

@@ -2,12 +2,11 @@
import argparse import argparse
import itertools import itertools
import json import json
from dataclasses import dataclass
from pathlib import Path from pathlib import Path
from dataclasses import dataclass
THIS_DIR = Path(__file__).parent.resolve() THIS_DIR = Path(__file__).parent.resolve()
@dataclass @dataclass
class Config: class Config:
architecture: list[dict] architecture: list[dict]
@@ -15,8 +14,7 @@ class Config:
build_type: list[str] build_type: list[str]
cmake_args: list[str] cmake_args: list[str]
'''
"""
Generate a strategy matrix for GitHub Actions CI. Generate a strategy matrix for GitHub Actions CI.
On each PR commit we will build a selection of Debian, RHEL, Ubuntu, MacOS, and On each PR commit we will build a selection of Debian, RHEL, Ubuntu, MacOS, and
@@ -29,23 +27,19 @@ We will further set additional CMake arguments as follows:
- All release builds will have the `assert` option. - All release builds will have the `assert` option.
- Certain Debian Bookworm configurations will change the reference fee, enable - Certain Debian Bookworm configurations will change the reference fee, enable
codecov, and enable voidstar in PRs. codecov, and enable voidstar in PRs.
""" '''
def generate_strategy_matrix(all: bool, config: Config) -> list: def generate_strategy_matrix(all: bool, config: Config) -> list:
configurations = [] configurations = []
for architecture, os, build_type, cmake_args in itertools.product( for architecture, os, build_type, cmake_args in itertools.product(config.architecture, config.os, config.build_type, config.cmake_args):
config.architecture, config.os, config.build_type, config.cmake_args
):
# The default CMake target is 'all' for Linux and MacOS and 'install' # The default CMake target is 'all' for Linux and MacOS and 'install'
# for Windows, but it can get overridden for certain configurations. # 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 # 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 # Debug, because it is too slow, as well as when code coverage is
# enabled as that mode already runs the tests. # enabled as that mode already runs the tests.
build_only = False build_only = False
if os["distro_name"] == "windows" and build_type == "Debug": if os['distro_name'] == 'windows' and build_type == 'Debug':
build_only = True build_only = True
# Only generate a subset of configurations in PRs. # Only generate a subset of configurations in PRs.
@@ -60,46 +54,21 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# - Bookworm using Clang 17: Release and no Unity on linux/amd64, # - Bookworm using Clang 17: Release and no Unity on linux/amd64,
# set the reference fee to 1000. # set the reference fee to 1000.
# - Bookworm using Clang 20: Debug and Unity on linux/amd64. # - Bookworm using Clang 20: Debug and Unity on linux/amd64.
if os["distro_name"] == "debian": if os['distro_name'] == 'debian':
skip = True skip = True
if os["distro_version"] == "bookworm": if os['distro_version'] == 'bookworm':
if ( 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':
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-13" cmake_args = f'-DUNIT_TEST_REFERENCE_FEE=500 {cmake_args}'
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 skip = False
if ( 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':
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 skip = False
if ( 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':
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-16" cmake_args = f'-Dvoidstar=ON {cmake_args}'
and build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "linux/arm64"
):
cmake_args = f"-Dvoidstar=ON {cmake_args}"
skip = False skip = False
if ( 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':
f"{os['compiler_name']}-{os['compiler_version']}" == "clang-17" cmake_args = f'-DUNIT_TEST_REFERENCE_FEE=1000 {cmake_args}'
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 skip = False
if ( 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':
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 skip = False
if skip: if skip:
continue continue
@@ -107,23 +76,13 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# RHEL: # RHEL:
# - 9 using GCC 12: Debug and Unity on linux/amd64. # - 9 using GCC 12: Debug and Unity on linux/amd64.
# - 10 using Clang: Release and no 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 skip = True
if os["distro_version"] == "9": if os['distro_version'] == '9':
if ( 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':
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 skip = False
elif os["distro_version"] == "10": elif os['distro_version'] == '10':
if ( 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':
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 skip = False
if skip: if skip:
continue continue
@@ -133,169 +92,106 @@ def generate_strategy_matrix(all: bool, config: Config) -> list:
# - Noble using GCC 14: Release and Unity on linux/amd64. # - Noble using GCC 14: Release and Unity on linux/amd64.
# - Noble using Clang 18: Debug and no 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. # - Noble using Clang 19: Release and Unity on linux/arm64.
if os["distro_name"] == "ubuntu": if os['distro_name'] == 'ubuntu':
skip = True skip = True
if os["distro_version"] == "jammy": if os['distro_version'] == 'jammy':
if ( 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':
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 skip = False
elif os["distro_version"] == "noble": elif os['distro_version'] == 'noble':
if ( 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':
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 skip = False
if ( 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':
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 skip = False
if ( 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':
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 skip = False
if skip: if skip:
continue continue
# MacOS: # MacOS:
# - Debug and no Unity on macos/arm64. # - Debug and no Unity on macos/arm64.
if os["distro_name"] == "macos" and not ( if os['distro_name'] == 'macos' and not (build_type == 'Debug' and '-Dunity=OFF' in cmake_args and architecture['platform'] == 'macos/arm64'):
build_type == "Debug"
and "-Dunity=OFF" in cmake_args
and architecture["platform"] == "macos/arm64"
):
continue continue
# Windows: # Windows:
# - Release and Unity on windows/amd64. # - Release and Unity on windows/amd64.
if os["distro_name"] == "windows" and not ( if os['distro_name'] == 'windows' and not (build_type == 'Release' and '-Dunity=ON' in cmake_args and architecture['platform'] == 'windows/amd64'):
build_type == "Release"
and "-Dunity=ON" in cmake_args
and architecture["platform"] == "windows/amd64"
):
continue continue
# Additional CMake arguments. # Additional CMake arguments.
cmake_args = f"{cmake_args} -Dtests=ON -Dwerr=ON -Dxrpld=ON" cmake_args = f'{cmake_args} -Dtests=ON -Dwerr=ON -Dxrpld=ON'
if not f"{os['compiler_name']}-{os['compiler_version']}" in [ if not f'{os['compiler_name']}-{os['compiler_version']}' in ['gcc-12', 'clang-16']:
"gcc-12", cmake_args = f'{cmake_args} -Dwextra=ON'
"clang-16", if build_type == 'Release':
]: cmake_args = f'{cmake_args} -Dassert=ON'
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 # We skip all RHEL on arm64 due to a build failure that needs further
# investigation. # investigation.
if os["distro_name"] == "rhel" and architecture["platform"] == "linux/arm64": if os['distro_name'] == 'rhel' and architecture['platform'] == 'linux/arm64':
continue continue
# We skip all clang 20+ on arm64 due to Boost build error. # We skip all clang-20 on arm64 due to boost 1.86 build error
if ( if f'{os['compiler_name']}-{os['compiler_version']}' == 'clang-20' and architecture['platform'] == 'linux/arm64':
f"{os['compiler_name']}-{os['compiler_version']}"
in ["clang-20", "clang-21"]
and architecture["platform"] == "linux/arm64"
):
continue continue
# Enable code coverage for Debian Bookworm using GCC 15 in Debug and no # Enable code coverage for Debian Bookworm using GCC 15 in Debug and no
# Unity on linux/amd64 # Unity on linux/amd64
if ( 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':
f"{os['compiler_name']}-{os['compiler_version']}" == "gcc-15" cmake_args = f'-Dcoverage=ON -Dcoverage_format=xml -DCODE_COVERAGE_VERBOSE=ON -DCMAKE_C_FLAGS=-O0 -DCMAKE_CXX_FLAGS=-O0 {cmake_args}'
and build_type == "Debug" cmake_target = 'coverage'
and "-Dunity=OFF" in cmake_args build_only = True
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}"
# Generate a unique name for the configuration, e.g. macos-arm64-debug # Generate a unique name for the configuration, e.g. macos-arm64-debug
# or debian-bookworm-gcc-12-amd64-release-unity. # or debian-bookworm-gcc-12-amd64-release-unity.
config_name = os["distro_name"] config_name = os['distro_name']
if (n := os["distro_version"]) != "": if (n := os['distro_version']) != '':
config_name += f"-{n}" config_name += f'-{n}'
if (n := os["compiler_name"]) != "": if (n := os['compiler_name']) != '':
config_name += f"-{n}" config_name += f'-{n}'
if (n := os["compiler_version"]) != "": if (n := os['compiler_version']) != '':
config_name += f"-{n}" config_name += f'-{n}'
config_name += ( config_name += f'-{architecture['platform'][architecture['platform'].find('/')+1:]}'
f"-{architecture['platform'][architecture['platform'].find('/') + 1 :]}" config_name += f'-{build_type.lower()}'
) if '-Dunity=ON' in cmake_args:
config_name += f"-{build_type.lower()}" config_name += '-unity'
if "-Dunity=ON" in cmake_args:
config_name += "-unity"
# Add the configuration to the list, with the most unique fields first, # 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 # so that they are easier to identify in the GitHub Actions UI, as long
# names get truncated. # names get truncated.
configurations.append( configurations.append({
{ 'config_name': config_name,
"config_name": config_name, 'cmake_args': cmake_args,
"cmake_args": cmake_args, 'cmake_target': cmake_target,
"cmake_target": cmake_target, 'build_only': build_only,
"build_only": build_only, 'build_type': build_type,
"build_type": build_type, 'os': os,
"os": os, 'architecture': architecture,
"architecture": architecture, })
}
)
return configurations return configurations
def read_config(file: Path) -> Config: def read_config(file: Path) -> Config:
config = json.loads(file.read_text()) config = json.loads(file.read_text())
if ( if config['architecture'] is None or config['os'] is None or config['build_type'] is None or config['cmake_args'] is None:
config["architecture"] is None raise Exception('Invalid configuration file.')
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) return Config(**config)
if __name__ == "__main__": if __name__ == '__main__':
parser = argparse.ArgumentParser() parser = argparse.ArgumentParser()
parser.add_argument( 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")
"-a", parser.add_argument('-c', '--config', help='Path to the JSON file containing the strategy matrix configurations.', required=False, type=Path)
"--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() args = parser.parse_args()
matrix = [] matrix = []
if args.config is None or args.config == "": if args.config is None or args.config == '':
matrix += generate_strategy_matrix( matrix += generate_strategy_matrix(args.all, read_config(THIS_DIR / "linux.json"))
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"))
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: else:
matrix += generate_strategy_matrix(args.all, read_config(args.config)) matrix += generate_strategy_matrix(args.all, read_config(args.config))
# Generate the strategy matrix. # Generate the strategy matrix.
print(f"matrix={json.dumps({'include': matrix})}") print(f'matrix={json.dumps({"include": matrix})}')

View File

@@ -15,196 +15,168 @@
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "12", "compiler_version": "12",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "13", "compiler_version": "13",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "14", "compiler_version": "14",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "15", "compiler_version": "15",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "16", "compiler_version": "16",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "17", "compiler_version": "17",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "18", "compiler_version": "18",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "19", "compiler_version": "19",
"image_sha": "0525eae" "image_sha": "6948666"
}, },
{ {
"distro_name": "debian", "distro_name": "debian",
"distro_version": "bookworm", "distro_version": "bookworm",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "20", "compiler_version": "20",
"image_sha": "0525eae" "image_sha": "6948666"
},
{
"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_name": "rhel",
"distro_version": "8", "distro_version": "8",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "14", "compiler_version": "14",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "8", "distro_version": "8",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "any", "compiler_version": "any",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "9", "distro_version": "9",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "12", "compiler_version": "12",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "9", "distro_version": "9",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "13", "compiler_version": "13",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "9", "distro_version": "9",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "14", "compiler_version": "14",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "9", "distro_version": "9",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "any", "compiler_version": "any",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "10", "distro_version": "10",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "14", "compiler_version": "14",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "rhel", "distro_name": "rhel",
"distro_version": "10", "distro_version": "10",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "any", "compiler_version": "any",
"image_sha": "e1782cd" "image_sha": "10e69b4"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "jammy", "distro_version": "jammy",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "12", "compiler_version": "12",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "13", "compiler_version": "13",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "gcc", "compiler_name": "gcc",
"compiler_version": "14", "compiler_version": "14",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "16", "compiler_version": "16",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "17", "compiler_version": "17",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "18", "compiler_version": "18",
"image_sha": "e1782cd" "image_sha": "6948666"
}, },
{ {
"distro_name": "ubuntu", "distro_name": "ubuntu",
"distro_version": "noble", "distro_version": "noble",
"compiler_name": "clang", "compiler_name": "clang",
"compiler_version": "19", "compiler_version": "19",
"image_sha": "e1782cd" "image_sha": "6948666"
} }
], ],
"build_type": ["Debug", "Release"], "build_type": ["Debug", "Release"],

View File

@@ -50,9 +50,7 @@ jobs:
files: | files: |
# These paths are unique to `on-pr.yml`. # These paths are unique to `on-pr.yml`.
.github/scripts/levelization/** .github/scripts/levelization/**
.github/scripts/rename/**
.github/workflows/reusable-check-levelization.yml .github/workflows/reusable-check-levelization.yml
.github/workflows/reusable-check-rename.yml
.github/workflows/reusable-notify-clio.yml .github/workflows/reusable-notify-clio.yml
.github/workflows/on-pr.yml .github/workflows/on-pr.yml
@@ -100,11 +98,6 @@ jobs:
if: ${{ needs.should-run.outputs.go == 'true' }} if: ${{ needs.should-run.outputs.go == 'true' }}
uses: ./.github/workflows/reusable-check-levelization.yml uses: ./.github/workflows/reusable-check-levelization.yml
check-rename:
needs: should-run
if: ${{ needs.should-run.outputs.go == 'true' }}
uses: ./.github/workflows/reusable-check-rename.yml
build-test: build-test:
needs: should-run needs: should-run
if: ${{ needs.should-run.outputs.go == 'true' }} if: ${{ needs.should-run.outputs.go == 'true' }}
@@ -122,7 +115,7 @@ jobs:
needs: needs:
- should-run - should-run
- build-test - build-test
if: ${{ needs.should-run.outputs.go == 'true' && (startsWith(github.base_ref, 'release') || github.base_ref == 'master') }} if: ${{ needs.should-run.outputs.go == 'true' && contains(fromJSON('["release", "master"]'), github.ref_name) }}
uses: ./.github/workflows/reusable-notify-clio.yml uses: ./.github/workflows/reusable-notify-clio.yml
secrets: secrets:
clio_notify_token: ${{ secrets.CLIO_NOTIFY_TOKEN }} clio_notify_token: ${{ secrets.CLIO_NOTIFY_TOKEN }}

View File

@@ -14,7 +14,9 @@ on:
- "master" - "master"
paths: paths:
# These paths are unique to `on-trigger.yml`. # These paths are unique to `on-trigger.yml`.
- ".github/workflows/reusable-check-missing-commits.yml"
- ".github/workflows/on-trigger.yml" - ".github/workflows/on-trigger.yml"
- ".github/workflows/publish-docs.yml"
# Keep the paths below in sync with those in `on-pr.yml`. # Keep the paths below in sync with those in `on-pr.yml`.
- ".github/actions/build-deps/**" - ".github/actions/build-deps/**"
@@ -48,12 +50,7 @@ on:
workflow_dispatch: workflow_dispatch:
concurrency: concurrency:
# When a PR is merged into the develop branch it will be assigned a unique group: ${{ github.workflow }}-${{ github.ref }}
# group identifier, so execution will continue even if another PR is merged
# while it is still running. In all other cases the group identifier is shared
# per branch, so that any in-progress runs are cancelled when a new commit is
# pushed.
group: ${{ github.workflow }}-${{ github.event_name == 'push' && github.ref == 'refs/heads/develop' && github.sha || github.ref }}
cancel-in-progress: true cancel-in-progress: true
defaults: defaults:
@@ -61,6 +58,10 @@ defaults:
shell: bash shell: bash
jobs: 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: build-test:
uses: ./.github/workflows/reusable-build-test.yml uses: ./.github/workflows/reusable-build-test.yml
strategy: strategy:

View File

@@ -23,7 +23,6 @@ defaults:
env: env:
BUILD_DIR: .build BUILD_DIR: .build
NPROC_SUBTRACT: 2
jobs: jobs:
publish: publish:
@@ -34,13 +33,6 @@ jobs:
steps: steps:
- name: Checkout repository - name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0 uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- name: Get number of processors
uses: XRPLF/actions/.github/actions/get-nproc@046b1620f6bfd6cd0985dc82c3df02786801fe0a
id: nproc
with:
subtract: ${{ env.NPROC_SUBTRACT }}
- name: Check configuration - name: Check configuration
run: | run: |
echo 'Checking path.' echo 'Checking path.'
@@ -54,16 +46,12 @@ jobs:
echo 'Checking Doxygen version.' echo 'Checking Doxygen version.'
doxygen --version doxygen --version
- name: Build documentation - name: Build documentation
env:
BUILD_NPROC: ${{ steps.nproc.outputs.nproc }}
run: | run: |
mkdir -p "${BUILD_DIR}" mkdir -p "${BUILD_DIR}"
cd "${BUILD_DIR}" cd "${BUILD_DIR}"
cmake -Donly_docs=ON .. cmake -Donly_docs=ON ..
cmake --build . --target docs --parallel ${BUILD_NPROC} cmake --build . --target docs --parallel $(nproc)
- name: Publish documentation - name: Publish documentation
if: ${{ github.ref_type == 'branch' && github.ref_name == github.event.repository.default_branch }} if: ${{ github.ref_type == 'branch' && github.ref_name == github.event.repository.default_branch }}
uses: peaceiris/actions-gh-pages@4f9cc6602d3f66b9c108549d475ec49e8ef4d45e # v4.0.0 uses: peaceiris/actions-gh-pages@4f9cc6602d3f66b9c108549d475ec49e8ef4d45e # v4.0.0

View File

@@ -7,23 +7,19 @@ on:
description: "The directory where to build." description: "The directory where to build."
required: true required: true
type: string type: string
build_only: build_only:
description: 'Whether to only build or to build and test the code ("true", "false").' description: 'Whether to only build or to build and test the code ("true", "false").'
required: true required: true
type: boolean type: boolean
build_type: build_type:
description: 'The build type to use ("Debug", "Release").' description: 'The build type to use ("Debug", "Release").'
type: string type: string
required: true required: true
cmake_args: cmake_args:
description: "Additional arguments to pass to CMake." description: "Additional arguments to pass to CMake."
required: false required: false
type: string type: string
default: "" default: ""
cmake_target: cmake_target:
description: "The CMake target to build." description: "The CMake target to build."
type: string type: string
@@ -33,7 +29,6 @@ on:
description: Runner to run the job on as a JSON string description: Runner to run the job on as a JSON string
required: true required: true
type: string type: string
image: image:
description: "The image to run in (leave empty to run natively)" description: "The image to run in (leave empty to run natively)"
required: true required: true
@@ -44,170 +39,31 @@ on:
required: true required: true
type: string type: string
nproc_subtract:
description: "The number of processors to subtract when calculating parallelism."
required: false
type: number
default: 2
secrets: secrets:
CODECOV_TOKEN: CODECOV_TOKEN:
description: "The Codecov token to use for uploading coverage reports." description: "The Codecov token to use for uploading coverage reports."
required: true required: true
defaults:
run:
shell: bash
jobs: jobs:
build-and-test: build:
name: ${{ inputs.config_name }} uses: ./.github/workflows/reusable-build.yml
runs-on: ${{ fromJSON(inputs.runs_on) }} with:
container: ${{ inputs.image != '' && inputs.image || null }} build_dir: ${{ inputs.build_dir }}
timeout-minutes: 60 build_type: ${{ inputs.build_type }}
env: cmake_args: ${{ inputs.cmake_args }}
ENABLED_VOIDSTAR: ${{ contains(inputs.cmake_args, '-Dvoidstar=ON') }} cmake_target: ${{ inputs.cmake_target }}
ENABLED_COVERAGE: ${{ contains(inputs.cmake_args, '-Dcoverage=ON') }} runs_on: ${{ inputs.runs_on }}
steps: image: ${{ inputs.image }}
- name: Cleanup workspace (macOS and Windows) config_name: ${{ inputs.config_name }}
if: ${{ runner.os == 'macOS' || runner.os == 'Windows' }} secrets:
uses: XRPLF/actions/.github/actions/cleanup-workspace@01b244d2718865d427b499822fbd3f15e7197fcc CODECOV_TOKEN: ${{ secrets.CODECOV_TOKEN }}
- name: Checkout repository test:
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0 needs: build
uses: ./.github/workflows/reusable-test.yml
- name: Prepare runner with:
uses: XRPLF/actions/.github/actions/prepare-runner@99685816bb60a95a66852f212f382580e180df3a run_tests: ${{ !inputs.build_only }}
with: verify_voidstar: ${{ contains(inputs.cmake_args, '-Dvoidstar=ON') }}
disable_ccache: false runs_on: ${{ inputs.runs_on }}
image: ${{ inputs.image }}
- name: Print build environment config_name: ${{ inputs.config_name }}
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
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
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' }}
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: ${{ runner.os == 'Windows' && '1' || steps.nproc.outputs.nproc }}
run: |
ctest \
--output-on-failure \
-C "${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: ${{ steps.nproc.outputs.nproc }}
run: |
./rippled --unittest --unittest-jobs "${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

138
.github/workflows/reusable-build.yml vendored Normal file
View File

@@ -0,0 +1,138 @@
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
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@638e0dc11ea230f91bd26622fb542116bb5254d5
with:
disable_ccache: false
- name: Print build environment
uses: ./.github/actions/print-env
- name: Setup Conan
uses: ./.github/actions/setup-conan
- name: Build dependencies
uses: ./.github/actions/build-deps
with:
build_dir: ${{ inputs.build_dir }}
build_type: ${{ inputs.build_type }}
- 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_TYPE: ${{ inputs.build_type }}
CMAKE_TARGET: ${{ inputs.cmake_target }}
run: |
cmake \
--build . \
--config "${BUILD_TYPE}" \
--parallel $(nproc) \
--target "${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: ${{ 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

@@ -0,0 +1,62 @@
# 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

@@ -1,46 +0,0 @@
# This workflow checks if the codebase is properly renamed, see more info in
# .github/scripts/rename/README.md.
name: Check rename
# This workflow can only be triggered by other workflows.
on: workflow_call
concurrency:
group: ${{ github.workflow }}-${{ github.ref }}-rename
cancel-in-progress: true
defaults:
run:
shell: bash
jobs:
rename:
runs-on: ubuntu-latest
steps:
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- name: Check definitions
run: .github/scripts/rename/definitions.sh .
- name: Check copyright notices
run: .github/scripts/rename/copyright.sh .
- name: Check CMake configs
run: .github/scripts/rename/cmake.sh .
- name: Check for differences
env:
MESSAGE: |
One or more files contain changes that do not adhere to new naming
conventions.
Run the scripts in '.github/scripts/rename/' in your repo, commit
and push the changes. See .github/scripts/rename/README.md for
more info.
run: |
DIFF=$(git status --porcelain)
if [ -n "${DIFF}" ]; then
# Print the differences to give the contributor a hint about what to
# expect when running the renaming scripts on their own machine.
git diff
echo "${MESSAGE}"
exit 1
fi

View File

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

89
.github/workflows/reusable-test.yml vendored Normal file
View File

@@ -0,0 +1,89 @@
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
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: ${{ runner.os == 'macOS' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@3f044c7478548e3c32ff68980eeb36ece02b364e
- name: Download rippled artifact
uses: actions/download-artifact@d3f86a106a0bac45b974a628896c90dbdf5c8093 # v4.3.0
with:
name: rippled-${{ 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
run: |
./rippled --unittest --unittest-jobs $(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

View File

@@ -34,16 +34,11 @@ on:
env: env:
CONAN_REMOTE_NAME: xrplf CONAN_REMOTE_NAME: xrplf
CONAN_REMOTE_URL: https://conan.ripplex.io CONAN_REMOTE_URL: https://conan.ripplex.io
NPROC_SUBTRACT: 2
concurrency: concurrency:
group: ${{ github.workflow }}-${{ github.ref }} group: ${{ github.workflow }}-${{ github.ref }}
cancel-in-progress: true cancel-in-progress: true
defaults:
run:
shell: bash
jobs: jobs:
# Generate the strategy matrix to be used by the following job. # Generate the strategy matrix to be used by the following job.
generate-matrix: generate-matrix:
@@ -62,27 +57,16 @@ jobs:
runs-on: ${{ matrix.architecture.runner }} 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 }} 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: steps:
- name: Cleanup workspace (macOS and Windows) - name: Cleanup workspace
if: ${{ runner.os == 'macOS' || runner.os == 'Windows' }} if: ${{ runner.os == 'macOS' }}
uses: XRPLF/actions/.github/actions/cleanup-workspace@01b244d2718865d427b499822fbd3f15e7197fcc uses: XRPLF/actions/.github/actions/cleanup-workspace@3f044c7478548e3c32ff68980eeb36ece02b364e
- name: Checkout repository
uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- uses: actions/checkout@08eba0b27e820071cde6df949e0beb9ba4906955 # v4.3.0
- name: Prepare runner - name: Prepare runner
uses: XRPLF/actions/.github/actions/prepare-runner@99685816bb60a95a66852f212f382580e180df3a uses: XRPLF/actions/.github/actions/prepare-runner@638e0dc11ea230f91bd26622fb542116bb5254d5
with: with:
disable_ccache: false 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: ${{ env.NPROC_SUBTRACT }}
- name: Setup Conan - name: Setup Conan
uses: ./.github/actions/setup-conan uses: ./.github/actions/setup-conan
with: with:
@@ -93,19 +77,18 @@ jobs:
uses: ./.github/actions/build-deps uses: ./.github/actions/build-deps
with: with:
build_dir: .build build_dir: .build
build_nproc: ${{ steps.nproc.outputs.nproc }}
build_type: ${{ matrix.build_type }} build_type: ${{ matrix.build_type }}
force_build: ${{ github.event_name == 'schedule' || github.event.inputs.force_source_build == 'true' }} force_build: ${{ github.event_name == 'schedule' || github.event.inputs.force_source_build == 'true' }}
# Set the verbosity to "quiet" for Windows to avoid an excessive # The verbosity is set to "quiet" for Windows to avoid an excessive amount of logs, while it
# amount of logs. For other OSes, the "verbose" logs are more useful. # is set to "verbose" otherwise to provide more information during the build process.
log_verbosity: ${{ runner.os == 'Windows' && 'quiet' || 'verbose' }} verbosity: ${{ runner.os == 'Windows' && 'quiet' || 'verbose' }}
- name: Log into Conan remote - name: Log into Conan remote
if: ${{ github.repository_owner == 'XRPLF' && (github.event_name == 'push' || github.event_name == 'workflow_dispatch') }} if: ${{ github.repository_owner == 'XRPLF' && github.event_name != 'pull_request' }}
run: conan remote login "${CONAN_REMOTE_NAME}" "${{ secrets.CONAN_REMOTE_USERNAME }}" --password "${{ secrets.CONAN_REMOTE_PASSWORD }}" run: conan remote login "${CONAN_REMOTE_NAME}" "${{ secrets.CONAN_REMOTE_USERNAME }}" --password "${{ secrets.CONAN_REMOTE_PASSWORD }}"
- name: Upload Conan packages - name: Upload Conan packages
if: ${{ github.repository_owner == 'XRPLF' && (github.event_name == 'push' || github.event_name == 'workflow_dispatch') }} if: ${{ github.repository_owner == 'XRPLF' && github.event_name != 'pull_request' && github.event_name != 'schedule' }}
env: env:
FORCE_OPTION: ${{ github.event.inputs.force_upload == 'true' && '--force' || '' }} FORCE_OPTION: ${{ github.event.inputs.force_upload == 'true' && '--force' || '' }}
run: conan upload "*" --remote="${CONAN_REMOTE_NAME}" --confirm ${FORCE_OPTION} run: conan upload "*" --remote="${CONAN_REMOTE_NAME}" --confirm ${FORCE_OPTION}

View File

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

View File

@@ -88,13 +88,6 @@ 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 unfamiliar with Conan, then please read [this crash course](./docs/build/conan.md) or the official
[Getting Started][3] walkthrough. [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 #### Default profile
We recommend that you import the provided `conan/profiles/default` profile: We recommend that you import the provided `conan/profiles/default` profile:
@@ -145,12 +138,10 @@ cd external
git init git init
git remote add origin git@github.com:XRPLF/conan-center-index.git git remote add origin git@github.com:XRPLF/conan-center-index.git
git sparse-checkout init git sparse-checkout init
git sparse-checkout set recipes/ed25519 git sparse-checkout set recipes/snappy
git sparse-checkout add recipes/snappy
git sparse-checkout add recipes/soci git sparse-checkout add recipes/soci
git fetch origin master git fetch origin master
git checkout master git checkout master
conan export --version 2015.03 recipes/ed25519/all
conan export --version 1.1.10 recipes/snappy/all conan export --version 1.1.10 recipes/snappy/all
conan export --version 4.0.3 recipes/soci/all conan export --version 4.0.3 recipes/soci/all
rm -rf .git rm -rf .git
@@ -164,8 +155,7 @@ the new recipe will be automatically pulled from the official Conan Center.
> [!NOTE] > [!NOTE]
> You might need to add `--lockfile=""` to your `conan install` command > You might need to add `--lockfile=""` to your `conan install` command
> to avoid automatic use of the existing `conan.lock` file when you run > to avoid automatic use of the existing `conan.lock` file when you run `conan export` manually on your machine
> `conan export` manually on your machine
### Conan profile tweaks ### Conan profile tweaks
@@ -460,6 +450,33 @@ tools.build:cxxflags=['-DBOOST_ASIO_DISABLE_CONCEPTS']
The location of `rippled` binary in your build directory depends on your 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. 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 ## Coverage report
The coverage report is intended for developers using compilers GCC The coverage report is intended for developers using compilers GCC
@@ -478,18 +495,18 @@ A coverage report is created when the following steps are completed, in order:
1. `rippled` binary built with instrumentation data, enabled by the `coverage` 1. `rippled` binary built with instrumentation data, enabled by the `coverage`
option mentioned above option mentioned above
2. completed one or more run of the unit tests, which populates coverage capture data 2. completed run of unit tests, which populates coverage capture data
3. completed run of the `gcovr` tool (which internally invokes either `gcov` or `llvm-cov`) 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 to assemble both instrumentation data and the coverage capture data into a coverage report
The last step of the above is automated into a single target `coverage`. The instrumented The above steps are automated into a single target `coverage`. The instrumented
`rippled` binary can also be used for regular development or testing work, at `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 the cost of extra disk space utilization and a small performance hit
(to store coverage capture data). Since `rippled` binary is simply a dependency of the (to store coverage capture). In case of a spurious failure of unit tests, it is
coverage report target, it is possible to re-run the `coverage` target without possible to re-run the `coverage` target without rebuilding the `rippled` binary
rebuilding the `rippled` binary. Note, running of the unit tests before the `coverage` (since it is simply a dependency of the coverage report target). It is also possible
target is left to the developer. Each such run will append to the coverage data to select only specific tests for the purpose of the coverage report, by setting
collected in the build directory. the `coverage_test` variable in `cmake`
The default coverage report format is `html-details`, but the user 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` can override it to any of the formats listed in `Builds/CMake/CodeCoverage.cmake`
@@ -498,6 +515,11 @@ 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 variable in `cmake`. The specific command line used to run the `gcovr` tool will be
displayed if the `CODE_COVERAGE_VERBOSE` variable is set. 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: Example use with some cmake variables set:
``` ```
@@ -568,7 +590,7 @@ you might have generated CMake files for a different `build_type` than the
`CMAKE_BUILD_TYPE` you passed to Conan. `CMAKE_BUILD_TYPE` you passed to Conan.
``` ```
/rippled/.build/pb-xrpl.libpb/xrpl/proto/xrpl.pb.h:10:10: fatal error: 'google/protobuf/port_def.inc' file not found /rippled/.build/pb-xrpl.libpb/xrpl/proto/ripple.pb.h:10:10: fatal error: 'google/protobuf/port_def.inc' file not found
10 | #include <google/protobuf/port_def.inc> 10 | #include <google/protobuf/port_def.inc>
| ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1 error generated. 1 error generated.

View File

@@ -49,7 +49,7 @@ if(Git_FOUND)
endif() #git endif() #git
if(thread_safety_analysis) if(thread_safety_analysis)
add_compile_options(-Wthread-safety -D_LIBCPP_ENABLE_THREAD_SAFETY_ANNOTATIONS -DXRPL_ENABLE_THREAD_SAFETY_ANNOTATIONS) add_compile_options(-Wthread-safety -D_LIBCPP_ENABLE_THREAD_SAFETY_ANNOTATIONS -DRIPPLE_ENABLE_THREAD_SAFETY_ANNOTATIONS)
add_compile_options("-stdlib=libc++") add_compile_options("-stdlib=libc++")
add_link_options("-stdlib=libc++") add_link_options("-stdlib=libc++")
endif() endif()
@@ -62,9 +62,9 @@ if (target)
message (FATAL_ERROR "The target option has been removed - use native cmake options to control build") message (FATAL_ERROR "The target option has been removed - use native cmake options to control build")
endif () endif ()
include(XrplSanity) include(RippledSanity)
include(XrplVersion) include(RippledVersion)
include(XrplSettings) include(RippledSettings)
# this check has to remain in the top-level cmake # this check has to remain in the top-level cmake
# because of the early return statement # because of the early return statement
if (packages_only) if (packages_only)
@@ -73,11 +73,11 @@ if (packages_only)
endif() endif()
return () return ()
endif () endif ()
include(XrplCompiler) include(RippledCompiler)
include(XrplInterface) include(RippledInterface)
option(only_docs "Include only the docs target?" FALSE) option(only_docs "Include only the docs target?" FALSE)
include(XrplDocs) include(RippledDocs)
if(only_docs) if(only_docs)
return() return()
endif() endif()
@@ -97,6 +97,7 @@ set(SECP256K1_BUILD_CTIME_TESTS FALSE)
set(SECP256K1_BUILD_EXAMPLES FALSE) set(SECP256K1_BUILD_EXAMPLES FALSE)
add_subdirectory(external/secp256k1) add_subdirectory(external/secp256k1)
add_library(secp256k1::secp256k1 ALIAS secp256k1) add_library(secp256k1::secp256k1 ALIAS secp256k1)
add_subdirectory(external/ed25519-donna)
add_subdirectory(external/antithesis-sdk) add_subdirectory(external/antithesis-sdk)
find_package(gRPC REQUIRED) find_package(gRPC REQUIRED)
find_package(lz4 REQUIRED) find_package(lz4 REQUIRED)
@@ -111,17 +112,16 @@ option(rocksdb "Enable RocksDB" ON)
if(rocksdb) if(rocksdb)
find_package(RocksDB REQUIRED) find_package(RocksDB REQUIRED)
set_target_properties(RocksDB::rocksdb PROPERTIES set_target_properties(RocksDB::rocksdb PROPERTIES
INTERFACE_COMPILE_DEFINITIONS XRPL_ROCKSDB_AVAILABLE=1 INTERFACE_COMPILE_DEFINITIONS RIPPLE_ROCKSDB_AVAILABLE=1
) )
target_link_libraries(xrpl_libs INTERFACE RocksDB::rocksdb) target_link_libraries(ripple_libs INTERFACE RocksDB::rocksdb)
endif() endif()
find_package(date REQUIRED)
find_package(ed25519 REQUIRED)
find_package(nudb REQUIRED) find_package(nudb REQUIRED)
find_package(date REQUIRED)
find_package(xxHash REQUIRED) find_package(xxHash REQUIRED)
target_link_libraries(xrpl_libs INTERFACE target_link_libraries(ripple_libs INTERFACE
ed25519::ed25519 ed25519::ed25519
lz4::lz4 lz4::lz4
OpenSSL::Crypto OpenSSL::Crypto
@@ -139,16 +139,16 @@ elseif(TARGET NuDB::nudb)
else() else()
message(FATAL_ERROR "unknown nudb target") message(FATAL_ERROR "unknown nudb target")
endif() endif()
target_link_libraries(xrpl_libs INTERFACE ${nudb}) target_link_libraries(ripple_libs INTERFACE ${nudb})
if(coverage) if(coverage)
include(XrplCov) include(RippledCov)
endif() endif()
set(PROJECT_EXPORT_SET XrplExports) set(PROJECT_EXPORT_SET RippleExports)
include(XrplCore) include(RippledCore)
include(XrplInstall) include(RippledInstall)
include(XrplValidatorKeys) include(RippledValidatorKeys)
if(tests) if(tests)
include(CTest) include(CTest)

View File

@@ -1,7 +1,7 @@
ISC License ISC License
Copyright (c) 2011, Arthur Britto, David Schwartz, Jed McCaleb, Vinnie Falco, Bob Way, Eric Lombrozo, Nikolaos D. Bougalis, Howard Hinnant. Copyright (c) 2011, Arthur Britto, David Schwartz, Jed McCaleb, Vinnie Falco, Bob Way, Eric Lombrozo, Nikolaos D. Bougalis, Howard Hinnant.
Copyright (c) 2012-2025, the XRP Ledger developers. Copyright (c) 2012-2020, the XRP Ledger developers.
Permission to use, copy, modify, and distribute this software for any Permission to use, copy, modify, and distribute this software for any
purpose with or without fee is hereby granted, provided that the above purpose with or without fee is hereby granted, provided that the above

View File

@@ -1,3 +1,21 @@
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} ${curdir})
endmacro()
macro (exclude_from_default target_) macro (exclude_from_default target_)
set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_ALL ON) set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_ALL ON)
set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_DEFAULT_BUILD ON) set_target_properties (${target_} PROPERTIES EXCLUDE_FROM_DEFAULT_BUILD ON)

View File

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

View File

@@ -12,7 +12,7 @@ if (static OR MSVC)
else () else ()
set (Boost_USE_STATIC_RUNTIME OFF) set (Boost_USE_STATIC_RUNTIME OFF)
endif () endif ()
find_dependency (Boost find_dependency (Boost 1.70
COMPONENTS COMPONENTS
chrono chrono
container container
@@ -45,10 +45,12 @@ if (static OR APPLE OR MSVC)
set (OPENSSL_USE_STATIC_LIBS ON) set (OPENSSL_USE_STATIC_LIBS ON)
endif () endif ()
set (OPENSSL_MSVC_STATIC_RT ON) set (OPENSSL_MSVC_STATIC_RT ON)
find_dependency (OpenSSL REQUIRED) find_dependency (OpenSSL 1.1.1 REQUIRED)
find_dependency (ZLIB) find_dependency (ZLIB)
find_dependency (date) find_dependency (date)
if (TARGET ZLIB::ZLIB) if (TARGET ZLIB::ZLIB)
set_target_properties(OpenSSL::Crypto PROPERTIES set_target_properties(OpenSSL::Crypto PROPERTIES
INTERFACE_LINK_LIBRARIES ZLIB::ZLIB) INTERFACE_LINK_LIBRARIES ZLIB::ZLIB)
endif () endif ()
include ("${CMAKE_CURRENT_LIST_DIR}/RippleTargets.cmake")

View File

@@ -7,9 +7,9 @@
toolchain file, especially the ABI-impacting ones toolchain file, especially the ABI-impacting ones
#]=========================================================] #]=========================================================]
add_library (common INTERFACE) add_library (common INTERFACE)
add_library (Xrpl::common ALIAS common) add_library (Ripple::common ALIAS common)
# add a single global dependency on this interface lib # add a single global dependency on this interface lib
link_libraries (Xrpl::common) link_libraries (Ripple::common)
set_target_properties (common set_target_properties (common
PROPERTIES INTERFACE_POSITION_INDEPENDENT_CODE ON) PROPERTIES INTERFACE_POSITION_INDEPENDENT_CODE ON)
set(CMAKE_CXX_EXTENSIONS OFF) set(CMAKE_CXX_EXTENSIONS OFF)

View File

@@ -13,7 +13,7 @@ set_target_properties(xrpl.libpb PROPERTIES UNITY_BUILD OFF)
target_protobuf_sources(xrpl.libpb xrpl/proto target_protobuf_sources(xrpl.libpb xrpl/proto
LANGUAGE cpp LANGUAGE cpp
IMPORT_DIRS include/xrpl/proto IMPORT_DIRS include/xrpl/proto
PROTOS include/xrpl/proto/xrpl.proto PROTOS include/xrpl/proto/ripple.proto
) )
file(GLOB_RECURSE protos "include/xrpl/proto/org/*.proto") file(GLOB_RECURSE protos "include/xrpl/proto/org/*.proto")
@@ -53,15 +53,14 @@ add_library(xrpl.imports.main INTERFACE)
target_link_libraries(xrpl.imports.main target_link_libraries(xrpl.imports.main
INTERFACE INTERFACE
LibArchive::LibArchive
OpenSSL::Crypto
Ripple::boost
Ripple::opts
Ripple::syslibs
absl::random_random absl::random_random
date::date date::date
ed25519::ed25519 ed25519::ed25519
LibArchive::LibArchive
OpenSSL::Crypto
Xrpl::boost
Xrpl::libs
Xrpl::opts
Xrpl::syslibs
secp256k1::secp256k1 secp256k1::secp256k1
xrpl.libpb xrpl.libpb
xxHash::xxhash xxHash::xxhash
@@ -73,7 +72,10 @@ include(target_link_modules)
# Level 01 # Level 01
add_module(xrpl beast) add_module(xrpl beast)
target_link_libraries(xrpl.libxrpl.beast PUBLIC xrpl.imports.main) target_link_libraries(xrpl.libxrpl.beast PUBLIC
xrpl.imports.main
xrpl.libpb
)
# Level 02 # Level 02
add_module(xrpl basics) add_module(xrpl basics)
@@ -109,21 +111,6 @@ target_link_libraries(xrpl.libxrpl.net PUBLIC
add_module(xrpl server) add_module(xrpl server)
target_link_libraries(xrpl.libxrpl.server PUBLIC xrpl.libxrpl.protocol) target_link_libraries(xrpl.libxrpl.server PUBLIC xrpl.libxrpl.protocol)
add_module(xrpl nodestore)
target_link_libraries(xrpl.libxrpl.nodestore PUBLIC
xrpl.libxrpl.basics
xrpl.libxrpl.json
xrpl.libxrpl.protocol
)
add_module(xrpl shamap)
target_link_libraries(xrpl.libxrpl.shamap PUBLIC
xrpl.libxrpl.basics
xrpl.libxrpl.crypto
xrpl.libxrpl.protocol
xrpl.libxrpl.nodestore
)
add_module(xrpl ledger) add_module(xrpl ledger)
target_link_libraries(xrpl.libxrpl.ledger PUBLIC target_link_libraries(xrpl.libxrpl.ledger PUBLIC
xrpl.libxrpl.basics xrpl.libxrpl.basics
@@ -149,8 +136,6 @@ target_link_modules(xrpl PUBLIC
protocol protocol
resource resource
server server
nodestore
shamap
net net
ledger ledger
) )
@@ -165,14 +150,14 @@ target_link_modules(xrpl PUBLIC
# $<INSTALL_INTERFACE:include>) # $<INSTALL_INTERFACE:include>)
if(xrpld) if(xrpld)
add_executable(xrpld) add_executable(rippled)
if(tests) if(tests)
target_compile_definitions(xrpld PUBLIC ENABLE_TESTS) target_compile_definitions(rippled PUBLIC ENABLE_TESTS)
target_compile_definitions(xrpld PRIVATE target_compile_definitions(rippled PRIVATE
UNIT_TEST_REFERENCE_FEE=${UNIT_TEST_REFERENCE_FEE} UNIT_TEST_REFERENCE_FEE=${UNIT_TEST_REFERENCE_FEE}
) )
endif() endif()
target_include_directories(xrpld target_include_directories(rippled
PRIVATE PRIVATE
$<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/src> $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/src>
) )
@@ -180,36 +165,36 @@ if(xrpld)
file(GLOB_RECURSE sources CONFIGURE_DEPENDS file(GLOB_RECURSE sources CONFIGURE_DEPENDS
"${CMAKE_CURRENT_SOURCE_DIR}/src/xrpld/*.cpp" "${CMAKE_CURRENT_SOURCE_DIR}/src/xrpld/*.cpp"
) )
target_sources(xrpld PRIVATE ${sources}) target_sources(rippled PRIVATE ${sources})
if(tests) if(tests)
file(GLOB_RECURSE sources CONFIGURE_DEPENDS file(GLOB_RECURSE sources CONFIGURE_DEPENDS
"${CMAKE_CURRENT_SOURCE_DIR}/src/test/*.cpp" "${CMAKE_CURRENT_SOURCE_DIR}/src/test/*.cpp"
) )
target_sources(xrpld PRIVATE ${sources}) target_sources(rippled PRIVATE ${sources})
endif() endif()
target_link_libraries(xrpld target_link_libraries(rippled
Xrpl::boost Ripple::boost
Xrpl::opts Ripple::opts
Xrpl::libs Ripple::libs
xrpl.libxrpl xrpl.libxrpl
) )
exclude_if_included(xrpld) exclude_if_included(rippled)
# define a macro for tests that might need to # define a macro for tests that might need to
# be exluded or run differently in CI environment # be exluded or run differently in CI environment
if(is_ci) if(is_ci)
target_compile_definitions(xrpld PRIVATE XRPL_RUNNING_IN_CI) target_compile_definitions(rippled PRIVATE RIPPLED_RUNNING_IN_CI)
endif () endif ()
if(voidstar) if(voidstar)
target_compile_options(xrpld target_compile_options(rippled
PRIVATE PRIVATE
-fsanitize-coverage=trace-pc-guard -fsanitize-coverage=trace-pc-guard
) )
# xrpld requires access to antithesis-sdk-cpp implementation file # rippled requires access to antithesis-sdk-cpp implementation file
# antithesis_instrumentation.h, which is not exported as INTERFACE # antithesis_instrumentation.h, which is not exported as INTERFACE
target_include_directories(xrpld target_include_directories(rippled
PRIVATE PRIVATE
${CMAKE_SOURCE_DIR}/external/antithesis-sdk ${CMAKE_SOURCE_DIR}/external/antithesis-sdk
) )
@@ -223,6 +208,4 @@ if(xrpld)
src/test/ledger/Invariants_test.cpp src/test/ledger/Invariants_test.cpp
PROPERTIES SKIP_UNITY_BUILD_INCLUSION TRUE) PROPERTIES SKIP_UNITY_BUILD_INCLUSION TRUE)
endif() endif()
# For the time being, we will keep the name of the binary as it was.
set_target_properties(xrpld PROPERTIES OUTPUT_NAME "rippled")
endif() endif()

View File

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

View File

@@ -8,25 +8,22 @@ install (
TARGETS TARGETS
common common
opts opts
xrpl_boost ripple_syslibs
xrpl_libs ripple_boost
xrpl_syslibs
xrpl.imports.main xrpl.imports.main
xrpl.libpb xrpl.libpb
xrpl.libxrpl
xrpl.libxrpl.basics xrpl.libxrpl.basics
xrpl.libxrpl.beast xrpl.libxrpl.beast
xrpl.libxrpl.crypto xrpl.libxrpl.crypto
xrpl.libxrpl.json xrpl.libxrpl.json
xrpl.libxrpl.ledger
xrpl.libxrpl.net
xrpl.libxrpl.nodestore
xrpl.libxrpl.protocol xrpl.libxrpl.protocol
xrpl.libxrpl.resource xrpl.libxrpl.resource
xrpl.libxrpl.ledger
xrpl.libxrpl.server xrpl.libxrpl.server
xrpl.libxrpl.shamap xrpl.libxrpl.net
xrpl.libxrpl
antithesis-sdk-cpp antithesis-sdk-cpp
EXPORT XrplExports EXPORT RippleExports
LIBRARY DESTINATION lib LIBRARY DESTINATION lib
ARCHIVE DESTINATION lib ARCHIVE DESTINATION lib
RUNTIME DESTINATION bin RUNTIME DESTINATION bin
@@ -37,19 +34,26 @@ install(
DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}" DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}"
) )
install (EXPORT XrplExports install(CODE "
FILE XrplTargets.cmake set(CMAKE_MODULE_PATH \"${CMAKE_MODULE_PATH}\")
NAMESPACE Xrpl:: include(create_symbolic_link)
DESTINATION lib/cmake/xrpl) create_symbolic_link(xrpl \
\$ENV{DESTDIR}\${CMAKE_INSTALL_PREFIX}/${CMAKE_INSTALL_INCLUDEDIR}/ripple)
")
install (EXPORT RippleExports
FILE RippleTargets.cmake
NAMESPACE Ripple::
DESTINATION lib/cmake/ripple)
include (CMakePackageConfigHelpers) include (CMakePackageConfigHelpers)
write_basic_package_version_file ( write_basic_package_version_file (
XrplConfigVersion.cmake RippleConfigVersion.cmake
VERSION ${xrpld_version} VERSION ${rippled_version}
COMPATIBILITY SameMajorVersion) COMPATIBILITY SameMajorVersion)
if (is_root_project AND TARGET xrpld) if (is_root_project AND TARGET rippled)
install (TARGETS xrpld RUNTIME DESTINATION bin) install (TARGETS rippled RUNTIME DESTINATION bin)
set_target_properties(xrpld PROPERTIES INSTALL_RPATH_USE_LINK_PATH ON) set_target_properties(rippled PROPERTIES INSTALL_RPATH_USE_LINK_PATH ON)
# sample configs should not overwrite existing files # sample configs should not overwrite existing files
# install if-not-exists workaround as suggested by # install if-not-exists workaround as suggested by
# https://cmake.org/Bug/view.php?id=12646 # https://cmake.org/Bug/view.php?id=12646
@@ -74,6 +78,6 @@ endif ()
install ( install (
FILES FILES
${CMAKE_CURRENT_SOURCE_DIR}/cmake/XrplConfig.cmake ${CMAKE_CURRENT_SOURCE_DIR}/cmake/RippleConfig.cmake
${CMAKE_CURRENT_BINARY_DIR}/XrplConfigVersion.cmake ${CMAKE_CURRENT_BINARY_DIR}/RippleConfigVersion.cmake
DESTINATION lib/cmake/xrpl) DESTINATION lib/cmake/ripple)

View File

@@ -1,9 +1,9 @@
#[===================================================================[ #[===================================================================[
xrpld compile options/settings via an interface library rippled compile options/settings via an interface library
#]===================================================================] #]===================================================================]
add_library (opts INTERFACE) add_library (opts INTERFACE)
add_library (Xrpl::opts ALIAS opts) add_library (Ripple::opts ALIAS opts)
target_compile_definitions (opts target_compile_definitions (opts
INTERFACE INTERFACE
BOOST_ASIO_DISABLE_HANDLER_TYPE_REQUIREMENTS BOOST_ASIO_DISABLE_HANDLER_TYPE_REQUIREMENTS
@@ -21,7 +21,7 @@ target_compile_definitions (opts
> >
$<$<BOOL:${beast_no_unit_test_inline}>:BEAST_NO_UNIT_TEST_INLINE=1> $<$<BOOL:${beast_no_unit_test_inline}>:BEAST_NO_UNIT_TEST_INLINE=1>
$<$<BOOL:${beast_disable_autolink}>:BEAST_DONT_AUTOLINK_TO_WIN32_LIBRARIES=1> $<$<BOOL:${beast_disable_autolink}>:BEAST_DONT_AUTOLINK_TO_WIN32_LIBRARIES=1>
$<$<BOOL:${single_io_service_thread}>:XRPL_SINGLE_IO_SERVICE_THREAD=1> $<$<BOOL:${single_io_service_thread}>:RIPPLE_SINGLE_IO_SERVICE_THREAD=1>
$<$<BOOL:${voidstar}>:ENABLE_VOIDSTAR>) $<$<BOOL:${voidstar}>:ENABLE_VOIDSTAR>)
target_compile_options (opts target_compile_options (opts
INTERFACE INTERFACE
@@ -59,12 +59,12 @@ if (san)
endif () endif ()
#[===================================================================[ #[===================================================================[
xrpld transitive library deps via an interface library rippled transitive library deps via an interface library
#]===================================================================] #]===================================================================]
add_library (xrpl_syslibs INTERFACE) add_library (ripple_syslibs INTERFACE)
add_library (Xrpl::syslibs ALIAS xrpl_syslibs) add_library (Ripple::syslibs ALIAS ripple_syslibs)
target_link_libraries (xrpl_syslibs target_link_libraries (ripple_syslibs
INTERFACE INTERFACE
$<$<BOOL:${MSVC}>: $<$<BOOL:${MSVC}>:
legacy_stdio_definitions.lib legacy_stdio_definitions.lib
@@ -89,9 +89,9 @@ target_link_libraries (xrpl_syslibs
if (NOT MSVC) if (NOT MSVC)
set (THREADS_PREFER_PTHREAD_FLAG ON) set (THREADS_PREFER_PTHREAD_FLAG ON)
find_package (Threads) find_package (Threads)
target_link_libraries (xrpl_syslibs INTERFACE Threads::Threads) target_link_libraries (ripple_syslibs INTERFACE Threads::Threads)
endif () endif ()
add_library (xrpl_libs INTERFACE) add_library (ripple_libs INTERFACE)
add_library (Xrpl::libs ALIAS xrpl_libs) add_library (Ripple::libs ALIAS ripple_libs)
target_link_libraries (xrpl_libs INTERFACE Xrpl::syslibs) target_link_libraries (ripple_libs INTERFACE Ripple::syslibs)

View File

@@ -1,5 +1,5 @@
#[===================================================================[ #[===================================================================[
sanity checks convenience variables and sanity checks
#]===================================================================] #]===================================================================]
get_property(is_multiconfig GLOBAL PROPERTY GENERATOR_IS_MULTI_CONFIG) get_property(is_multiconfig GLOBAL PROPERTY GENERATOR_IS_MULTI_CONFIG)
@@ -16,19 +16,39 @@ if (NOT is_multiconfig)
endif () endif ()
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 ("${CMAKE_CXX_COMPILER_ID}" MATCHES ".*Clang") # both Clang and AppleClang if ("${CMAKE_CXX_COMPILER_ID}" MATCHES ".*Clang") # both Clang and AppleClang
set (is_clang TRUE) set (is_clang TRUE)
if ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang" AND if ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang" AND
CMAKE_CXX_COMPILER_VERSION VERSION_LESS 16.0) CMAKE_CXX_COMPILER_VERSION VERSION_LESS 8.0)
message (FATAL_ERROR "This project requires clang 16 or later") message (FATAL_ERROR "This project requires clang 8 or later")
endif () endif ()
# TODO min AppleClang version check ?
elseif ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU") elseif ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU")
set (is_gcc TRUE) set (is_gcc TRUE)
if (CMAKE_CXX_COMPILER_VERSION VERSION_LESS 12.0) if (CMAKE_CXX_COMPILER_VERSION VERSION_LESS 8.0)
message (FATAL_ERROR "This project requires GCC 12 or later") message (FATAL_ERROR "This project requires GCC 8 or later")
endif () endif ()
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 # check for in-source build and fail
if ("${CMAKE_CURRENT_SOURCE_DIR}" STREQUAL "${CMAKE_BINARY_DIR}") if ("${CMAKE_CURRENT_SOURCE_DIR}" STREQUAL "${CMAKE_BINARY_DIR}")
message (FATAL_ERROR "Builds (in-source) are not allowed in " message (FATAL_ERROR "Builds (in-source) are not allowed in "
@@ -41,8 +61,8 @@ if (MSVC AND CMAKE_GENERATOR_PLATFORM STREQUAL "Win32")
endif () endif ()
if (NOT CMAKE_SIZEOF_VOID_P EQUAL 8) if (NOT CMAKE_SIZEOF_VOID_P EQUAL 8)
message (FATAL_ERROR "Xrpld requires a 64 bit target architecture.\n" message (FATAL_ERROR "Rippled requires a 64 bit target architecture.\n"
"The most likely cause of this warning is trying to build xrpld with a 32-bit OS.") "The most likely cause of this warning is trying to build rippled with a 32-bit OS.")
endif () endif ()
if (APPLE AND NOT HOMEBREW) if (APPLE AND NOT HOMEBREW)

View File

@@ -1,25 +1,10 @@
#[===================================================================[ #[===================================================================[
declare options and variables declare user options/settings
#]===================================================================] #]===================================================================]
if(CMAKE_SYSTEM_NAME STREQUAL "Linux") include(ProcessorCount)
set (is_linux TRUE)
else()
set(is_linux FALSE)
endif()
if("$ENV{CI}" STREQUAL "true" OR "$ENV{CONTINUOUS_INTEGRATION}" STREQUAL "true") ProcessorCount(PROCESSOR_COUNT)
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) option(assert "Enables asserts, even in release builds" OFF)
@@ -40,30 +25,31 @@ if(unity)
endif() endif()
set(CMAKE_UNITY_BUILD ON CACHE BOOL "Do a unity build") set(CMAKE_UNITY_BUILD ON CACHE BOOL "Do a unity build")
endif() endif()
if(is_clang AND is_linux) if(is_clang AND is_linux)
option(voidstar "Enable Antithesis instrumentation." OFF) option(voidstar "Enable Antithesis instrumentation." OFF)
endif() endif()
if(is_gcc OR is_clang) if(is_gcc OR is_clang)
include(ProcessorCount)
ProcessorCount(PROCESSOR_COUNT)
option(coverage "Generates coverage info." OFF) option(coverage "Generates coverage info." OFF)
option(profile "Add profiling flags" 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 set(coverage_format "html-details" CACHE STRING
"Output format of the coverage report.") "Output format of the coverage report.")
set(coverage_extra_args "" CACHE STRING set(coverage_extra_args "" CACHE STRING
"Additional arguments to pass to gcovr.") "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) option(wextra "compile with extra gcc/clang warnings enabled" ON)
else() else()
set(profile OFF CACHE BOOL "gcc/clang only" FORCE) set(profile OFF CACHE BOOL "gcc/clang only" FORCE)
set(coverage 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) set(wextra OFF CACHE BOOL "gcc/clang only" FORCE)
endif() endif()
if(is_linux) if(is_linux)
option(BUILD_SHARED_LIBS "build shared xrpl libraries" OFF) option(BUILD_SHARED_LIBS "build shared ripple libraries" OFF)
option(static "link protobuf, openssl, libc++, and boost statically" ON) option(static "link protobuf, openssl, libc++, and boost statically" ON)
option(perf "Enables flags that assist with perf recording" OFF) option(perf "Enables flags that assist with perf recording" OFF)
option(use_gold "enables detection of gold (binutils) linker" ON) option(use_gold "enables detection of gold (binutils) linker" ON)
@@ -72,19 +58,17 @@ else()
# we are not ready to allow shared-libs on windows because it would require # we are not ready to allow shared-libs on windows because it would require
# export declarations. On macos it's more feasible, but static openssl # export declarations. On macos it's more feasible, but static openssl
# produces odd linker errors, thus we disable shared lib builds for now. # produces odd linker errors, thus we disable shared lib builds for now.
set(BUILD_SHARED_LIBS OFF CACHE BOOL "build shared xrpl libraries - OFF for win/macos" FORCE) set(BUILD_SHARED_LIBS OFF CACHE BOOL "build shared ripple libraries - OFF for win/macos" FORCE)
set(static ON CACHE BOOL "static link, linux only. ON for WIN/macos" FORCE) set(static ON CACHE BOOL "static link, linux only. ON for WIN/macos" FORCE)
set(perf OFF CACHE BOOL "perf flags, linux only" FORCE) set(perf OFF CACHE BOOL "perf flags, linux only" FORCE)
set(use_gold OFF CACHE BOOL "gold linker, linux only" FORCE) set(use_gold OFF CACHE BOOL "gold linker, linux only" FORCE)
set(use_mold OFF CACHE BOOL "mold linker, linux only" FORCE) set(use_mold OFF CACHE BOOL "mold linker, linux only" FORCE)
endif() endif()
if(is_clang) if(is_clang)
option(use_lld "enables detection of lld linker" ON) option(use_lld "enables detection of lld linker" ON)
else() else()
set(use_lld OFF CACHE BOOL "try lld linker, clang only" FORCE) set(use_lld OFF CACHE BOOL "try lld linker, clang only" FORCE)
endif() endif()
option(jemalloc "Enables jemalloc for heap profiling" OFF) option(jemalloc "Enables jemalloc for heap profiling" OFF)
option(werr "treat warnings as errors" OFF) option(werr "treat warnings as errors" OFF)
option(local_protobuf option(local_protobuf
@@ -118,6 +102,16 @@ if(san)
message(FATAL_ERROR "${san} sanitizer does not seem to be supported by your compiler") message(FATAL_ERROR "${san} sanitizer does not seem to be supported by your compiler")
endif() endif()
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 # the remaining options are obscure and rarely used
option(beast_no_unit_test_inline option(beast_no_unit_test_inline
@@ -131,13 +125,15 @@ option(boost_show_deprecated
"Allow boost to fail on deprecated usage. Only useful if you're trying\ "Allow boost to fail on deprecated usage. Only useful if you're trying\
to find deprecated calls." to find deprecated calls."
OFF) OFF)
option(beast_hashers
"Use local implementations for sha/ripemd hashes (experimental, not recommended)"
OFF)
if(WIN32) if(WIN32)
option(beast_disable_autolink "Disables autolinking of system libraries on WIN32" OFF) option(beast_disable_autolink "Disables autolinking of system libraries on WIN32" OFF)
else() else()
set(beast_disable_autolink OFF CACHE BOOL "WIN32 only" FORCE) set(beast_disable_autolink OFF CACHE BOOL "WIN32 only" FORCE)
endif() endif()
if(coverage) if(coverage)
message(STATUS "coverage build requested - forcing Debug build") message(STATUS "coverage build requested - forcing Debug build")
set(CMAKE_BUILD_TYPE Debug CACHE STRING "build type" FORCE) set(CMAKE_BUILD_TYPE Debug CACHE STRING "build type" FORCE)

View File

@@ -5,11 +5,11 @@
file(STRINGS src/libxrpl/protocol/BuildInfo.cpp BUILD_INFO) file(STRINGS src/libxrpl/protocol/BuildInfo.cpp BUILD_INFO)
foreach(line_ ${BUILD_INFO}) foreach(line_ ${BUILD_INFO})
if(line_ MATCHES "versionString[ ]*=[ ]*\"(.+)\"") if(line_ MATCHES "versionString[ ]*=[ ]*\"(.+)\"")
set(xrpld_version ${CMAKE_MATCH_1}) set(rippled_version ${CMAKE_MATCH_1})
endif() endif()
endforeach() endforeach()
if(xrpld_version) if(rippled_version)
message(STATUS "xrpld version: ${xrpld_version}") message(STATUS "rippled version: ${rippled_version}")
else() else()
message(FATAL_ERROR "unable to determine xrpld version") message(FATAL_ERROR "unable to determine rippled version")
endif() endif()

View File

@@ -12,10 +12,10 @@ find_package(Boost 1.82 REQUIRED
thread thread
) )
add_library(xrpl_boost INTERFACE) add_library(ripple_boost INTERFACE)
add_library(Xrpl::boost ALIAS xrpl_boost) add_library(Ripple::boost ALIAS ripple_boost)
target_link_libraries(xrpl_boost target_link_libraries(ripple_boost
INTERFACE INTERFACE
Boost::headers Boost::headers
Boost::chrono Boost::chrono
@@ -30,7 +30,7 @@ target_link_libraries(xrpl_boost
Boost::system Boost::system
Boost::thread) Boost::thread)
if(Boost_COMPILER) if(Boost_COMPILER)
target_link_libraries(xrpl_boost INTERFACE Boost::disable_autolinking) target_link_libraries(ripple_boost INTERFACE Boost::disable_autolinking)
endif() endif()
if(san AND is_clang) if(san AND is_clang)
# TODO: gcc does not support -fsanitize-blacklist...can we do something else # TODO: gcc does not support -fsanitize-blacklist...can we do something else

View File

@@ -22,4 +22,20 @@ function(xrpl_add_test name)
UNITY_BUILD_BATCH_SIZE 0) # Adjust as needed UNITY_BUILD_BATCH_SIZE 0) # Adjust as needed
add_test(NAME ${target} COMMAND ${target}) 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() endfunction()

View File

@@ -6,34 +6,32 @@
"sqlite3/3.49.1#8631739a4c9b93bd3d6b753bac548a63%1756234266.869", "sqlite3/3.49.1#8631739a4c9b93bd3d6b753bac548a63%1756234266.869",
"soci/4.0.3#a9f8d773cd33e356b5879a4b0564f287%1756234262.318", "soci/4.0.3#a9f8d773cd33e356b5879a4b0564f287%1756234262.318",
"snappy/1.1.10#968fef506ff261592ec30c574d4a7809%1756234314.246", "snappy/1.1.10#968fef506ff261592ec30c574d4a7809%1756234314.246",
"rocksdb/10.5.1#4a197eca381a3e5ae8adf8cffa5aacd0%1762797952.535", "rocksdb/10.0.1#85537f46e538974d67da0c3977de48ac%1756234304.347",
"re2/20230301#ca3b241baec15bd31ea9187150e0b333%1764175362.029", "re2/20230301#dfd6e2bf050eb90ddd8729cfb4c844a4%1756234257.976",
"protobuf/3.21.12#44ee56c0a6eea0c19aeeaca680370b88%1764175361.456", "protobuf/3.21.12#d927114e28de9f4691a6bbcdd9a529d1%1756234251.614",
"openssl/3.5.4#a1d5835cc6ed5c5b8f3cd5b9b5d24205%1760106486.594", "openssl/3.5.4#a1d5835cc6ed5c5b8f3cd5b9b5d24205%1759746684.671",
"nudb/2.0.9#fb8dfd1a5557f5e0528114c2da17721e%1763150366.909", "nudb/2.0.9#c62cfd501e57055a7e0d8ee3d5e5427d%1756234237.107",
"lz4/1.10.0#59fc63cac7f10fbe8e05c7e62c2f3504%1756234228.999", "lz4/1.10.0#59fc63cac7f10fbe8e05c7e62c2f3504%1756234228.999",
"libiconv/1.17#1e65319e945f2d31941a9d28cc13c058%1756223727.64", "libiconv/1.17#1e65319e945f2d31941a9d28cc13c058%1756223727.64",
"libbacktrace/cci.20210118#a7691bfccd8caaf66309df196790a5a1%1756230911.03", "libbacktrace/cci.20210118#a7691bfccd8caaf66309df196790a5a1%1756230911.03",
"libarchive/3.8.1#ffee18995c706e02bf96e7a2f7042e0d%1764175360.142", "libarchive/3.8.1#5cf685686322e906cb42706ab7e099a8%1756234256.696",
"jemalloc/5.3.0#e951da9cf599e956cebc117880d2d9f8%1729241615.244", "jemalloc/5.3.0#e951da9cf599e956cebc117880d2d9f8%1729241615.244",
"grpc/1.50.1#02291451d1e17200293a409410d1c4e1%1756234248.958", "grpc/1.50.1#02291451d1e17200293a409410d1c4e1%1756234248.958",
"ed25519/2015.03#17c1f1910e769f368025267a53c23c13%1764259445.491", "doctest/2.4.11#a4211dfc329a16ba9f280f9574025659%1756234220.819",
"doctest/2.4.12#eb9fb352fb2fdfc8abb17ec270945165%1762797941.757", "date/3.0.4#f74bbba5a08fa388256688743136cb6f%1756234217.493",
"date/3.0.4#862e11e80030356b53c2c38599ceb32b%1763584497.32", "c-ares/1.34.5#b78b91e7cfb1f11ce777a285bbf169c6%1756234217.915",
"c-ares/1.34.5#5581c2b62a608b40bb85d965ab3ec7c8%1764175359.429", "bzip2/1.0.8#00b4a4658791c1f06914e087f0e792f5%1756234261.716",
"bzip2/1.0.8#c470882369c2d95c5c77e970c0c7e321%1764175359.429",
"boost/1.88.0#8852c0b72ce8271fb8ff7c53456d4983%1756223752.326", "boost/1.88.0#8852c0b72ce8271fb8ff7c53456d4983%1756223752.326",
"abseil/20230802.1#90ba607d4ee8fb5fb157c3db540671fc%1764175359.429" "abseil/20230802.1#f0f91485b111dc9837a68972cb19ca7b%1756234220.907"
], ],
"build_requires": [ "build_requires": [
"zlib/1.3.1#b8bc2603263cf7eccbd6e17e66b0ed76%1756234269.497", "zlib/1.3.1#b8bc2603263cf7eccbd6e17e66b0ed76%1756234269.497",
"strawberryperl/5.32.1.1#707032463aa0620fa17ec0d887f5fe41%1756234281.733", "strawberryperl/5.32.1.1#707032463aa0620fa17ec0d887f5fe41%1756234281.733",
"protobuf/3.21.12#44ee56c0a6eea0c19aeeaca680370b88%1764175361.456", "protobuf/3.21.12#d927114e28de9f4691a6bbcdd9a529d1%1756234251.614",
"nasm/2.16.01#31e26f2ee3c4346ecd347911bd126904%1756234232.901", "nasm/2.16.01#31e26f2ee3c4346ecd347911bd126904%1756234232.901",
"msys2/cci.latest#5b73b10144f73cc5bfe0572ed9be39e1%1751977009.857", "msys2/cci.latest#5b73b10144f73cc5bfe0572ed9be39e1%1751977009.857",
"m4/1.4.19#70dc8bbb33e981d119d2acc0175cf381%1763158052.846", "m4/1.4.19#b38ced39a01e31fef5435bc634461fd2%1700758725.451",
"cmake/4.2.0#ae0a44f44a1ef9ab68fd4b3e9a1f8671%1764175359.44", "cmake/3.31.8#dde3bde00bb843687e55aea5afa0e220%1756234232.89",
"cmake/3.31.10#313d16a1aa16bbdb2ca0792467214b76%1764175359.429",
"b2/5.3.3#107c15377719889654eb9a162a673975%1756234226.28", "b2/5.3.3#107c15377719889654eb9a162a673975%1756234226.28",
"automake/1.16.5#b91b7c384c3deaa9d535be02da14d04f%1755524470.56", "automake/1.16.5#b91b7c384c3deaa9d535be02da14d04f%1755524470.56",
"autoconf/2.71#51077f068e61700d65bb05541ea1e4b0%1731054366.86" "autoconf/2.71#51077f068e61700d65bb05541ea1e4b0%1731054366.86"
@@ -52,10 +50,7 @@
], ],
"sqlite3/3.44.2": [ "sqlite3/3.44.2": [
"sqlite3/3.49.1" "sqlite3/3.49.1"
],
"lz4/[>=1.9.4 <2]": [
"lz4/1.10.0#59fc63cac7f10fbe8e05c7e62c2f3504"
] ]
}, },
"config_requires": [] "config_requires": []
} }

View File

@@ -1,5 +1,6 @@
# Global configuration for Conan. This is used to set the number of parallel # Global configuration for Conan. This is used to set the number of parallel
# downloads and uploads. # downloads, uploads, and build jobs.
core:non_interactive=True core:non_interactive=True
core.download:parallel={{ os.cpu_count() }} core.download:parallel={{ os.cpu_count() }}
core.upload:parallel={{ os.cpu_count() }} core.upload:parallel={{ os.cpu_count() }}
tools.build:jobs={{ os.cpu_count() - 1 }}

View File

@@ -1,12 +0,0 @@
# 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

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

View File

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

View File

@@ -1,36 +0,0 @@
#!/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

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

View File

@@ -1,156 +1,149 @@
from conan import ConanFile, __version__ as conan_version
from conan.tools.cmake import CMake, CMakeToolchain, cmake_layout
import re 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): class Xrpl(ConanFile):
name = "xrpl" name = 'xrpl'
license = "ISC" license = 'ISC'
author = "John Freeman <jfreeman@ripple.com>" author = 'John Freeman <jfreeman@ripple.com>'
url = "https://github.com/xrplf/rippled" url = 'https://github.com/xrplf/rippled'
description = "The XRP Ledger" description = 'The XRP Ledger'
settings = "os", "compiler", "build_type", "arch" settings = 'os', 'compiler', 'build_type', 'arch'
options = { options = {
"assertions": [True, False], 'assertions': [True, False],
"coverage": [True, False], 'coverage': [True, False],
"fPIC": [True, False], 'fPIC': [True, False],
"jemalloc": [True, False], 'jemalloc': [True, False],
"rocksdb": [True, False], 'rocksdb': [True, False],
"shared": [True, False], 'shared': [True, False],
"static": [True, False], 'static': [True, False],
"tests": [True, False], 'tests': [True, False],
"unity": [True, False], 'unity': [True, False],
"xrpld": [True, False], 'xrpld': [True, False],
} }
requires = [ requires = [
"ed25519/2015.03", 'grpc/1.50.1',
"grpc/1.50.1", 'libarchive/3.8.1',
"libarchive/3.8.1", 'nudb/2.0.9',
"nudb/2.0.9", 'openssl/3.5.4',
"openssl/3.5.4", 'soci/4.0.3',
"soci/4.0.3", 'zlib/1.3.1',
"zlib/1.3.1",
] ]
test_requires = [ test_requires = [
"doctest/2.4.12", 'doctest/2.4.11',
] ]
tool_requires = [ tool_requires = [
"protobuf/3.21.12", 'protobuf/3.21.12',
] ]
default_options = { default_options = {
"assertions": False, 'assertions': False,
"coverage": False, 'coverage': False,
"fPIC": True, 'fPIC': True,
"jemalloc": False, 'jemalloc': False,
"rocksdb": True, 'rocksdb': True,
"shared": False, 'shared': False,
"static": True, 'static': True,
"tests": False, 'tests': False,
"unity": False, 'unity': False,
"xrpld": False, 'xrpld': False,
"date/*:header_only": True,
"grpc/*:shared": False, 'date/*:header_only': True,
"grpc/*:secure": True, 'grpc/*:shared': False,
"libarchive/*:shared": False, 'grpc/*:secure': True,
"libarchive/*:with_acl": False, 'libarchive/*:shared': False,
"libarchive/*:with_bzip2": False, 'libarchive/*:with_acl': False,
"libarchive/*:with_cng": False, 'libarchive/*:with_bzip2': False,
"libarchive/*:with_expat": False, 'libarchive/*:with_cng': False,
"libarchive/*:with_iconv": False, 'libarchive/*:with_expat': False,
"libarchive/*:with_libxml2": False, 'libarchive/*:with_iconv': False,
"libarchive/*:with_lz4": True, 'libarchive/*:with_libxml2': False,
"libarchive/*:with_lzma": False, 'libarchive/*:with_lz4': True,
"libarchive/*:with_lzo": False, 'libarchive/*:with_lzma': False,
"libarchive/*:with_nettle": False, 'libarchive/*:with_lzo': False,
"libarchive/*:with_openssl": False, 'libarchive/*:with_nettle': False,
"libarchive/*:with_pcreposix": False, 'libarchive/*:with_openssl': False,
"libarchive/*:with_xattr": False, 'libarchive/*:with_pcreposix': False,
"libarchive/*:with_zlib": False, 'libarchive/*:with_xattr': False,
"lz4/*:shared": False, 'libarchive/*:with_zlib': False,
"openssl/*:shared": False, 'lz4/*:shared': False,
"protobuf/*:shared": False, 'openssl/*:shared': False,
"protobuf/*:with_zlib": True, 'protobuf/*:shared': False,
"rocksdb/*:enable_sse": False, 'protobuf/*:with_zlib': True,
"rocksdb/*:lite": False, 'rocksdb/*:enable_sse': False,
"rocksdb/*:shared": False, 'rocksdb/*:lite': False,
"rocksdb/*:use_rtti": True, 'rocksdb/*:shared': False,
"rocksdb/*:with_jemalloc": False, 'rocksdb/*:use_rtti': True,
"rocksdb/*:with_lz4": True, 'rocksdb/*:with_jemalloc': False,
"rocksdb/*:with_snappy": True, 'rocksdb/*:with_lz4': True,
"snappy/*:shared": False, 'rocksdb/*:with_snappy': True,
"soci/*:shared": False, 'snappy/*:shared': False,
"soci/*:with_sqlite3": True, 'soci/*:shared': False,
"soci/*:with_boost": True, 'soci/*:with_sqlite3': True,
"xxhash/*:shared": False, 'soci/*:with_boost': True,
'xxhash/*:shared': False,
} }
def set_version(self): def set_version(self):
if self.version is None: if self.version is None:
path = f"{self.recipe_folder}/src/libxrpl/protocol/BuildInfo.cpp" path = f'{self.recipe_folder}/src/libxrpl/protocol/BuildInfo.cpp'
regex = r"versionString\s?=\s?\"(.*)\"" regex = r'versionString\s?=\s?\"(.*)\"'
with open(path, encoding="utf-8") as file: with open(path, encoding='utf-8') as file:
matches = (re.search(regex, line) for line in file) matches = (re.search(regex, line) for line in file)
match = next(m for m in matches if m) match = next(m for m in matches if m)
self.version = match.group(1) self.version = match.group(1)
def configure(self): def configure(self):
if self.settings.compiler == "apple-clang": if self.settings.compiler == 'apple-clang':
self.options["boost"].visibility = "global" self.options['boost'].visibility = 'global'
if self.settings.compiler in ["clang", "gcc"]: if self.settings.compiler in ['clang', 'gcc']:
self.options["boost"].without_cobalt = True self.options['boost'].without_cobalt = True
def requirements(self): def requirements(self):
# Conan 2 requires transitive headers to be specified # Conan 2 requires transitive headers to be specified
transitive_headers_opt = ( transitive_headers_opt = {'transitive_headers': True} if conan_version.split('.')[0] == '2' else {}
{"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("boost/1.88.0", force=True, **transitive_headers_opt) self.requires('lz4/1.10.0', force=True)
self.requires("date/3.0.4", **transitive_headers_opt) self.requires('protobuf/3.21.12', force=True)
self.requires("lz4/1.10.0", force=True) self.requires('sqlite3/3.49.1', force=True)
self.requires("protobuf/3.21.12", force=True)
self.requires("sqlite3/3.49.1", force=True)
if self.options.jemalloc: if self.options.jemalloc:
self.requires("jemalloc/5.3.0") self.requires('jemalloc/5.3.0')
if self.options.rocksdb: if self.options.rocksdb:
self.requires("rocksdb/10.5.1") self.requires('rocksdb/10.0.1')
self.requires("xxhash/0.8.3", **transitive_headers_opt) self.requires('xxhash/0.8.3', **transitive_headers_opt)
exports_sources = ( exports_sources = (
"CMakeLists.txt", 'CMakeLists.txt',
"cfg/*", 'cfg/*',
"cmake/*", 'cmake/*',
"external/*", 'external/*',
"include/*", 'include/*',
"src/*", 'src/*',
) )
def layout(self): def layout(self):
cmake_layout(self) cmake_layout(self)
# Fix this setting to follow the default introduced in Conan 1.48 # Fix this setting to follow the default introduced in Conan 1.48
# to align with our build instructions. # to align with our build instructions.
self.folders.generators = "build/generators" self.folders.generators = 'build/generators'
generators = "CMakeDeps"
generators = 'CMakeDeps'
def generate(self): def generate(self):
tc = CMakeToolchain(self) tc = CMakeToolchain(self)
tc.variables["tests"] = self.options.tests tc.variables['tests'] = self.options.tests
tc.variables["assert"] = self.options.assertions tc.variables['assert'] = self.options.assertions
tc.variables["coverage"] = self.options.coverage tc.variables['coverage'] = self.options.coverage
tc.variables["jemalloc"] = self.options.jemalloc tc.variables['jemalloc'] = self.options.jemalloc
tc.variables["rocksdb"] = self.options.rocksdb tc.variables['rocksdb'] = self.options.rocksdb
tc.variables["BUILD_SHARED_LIBS"] = self.options.shared tc.variables['BUILD_SHARED_LIBS'] = self.options.shared
tc.variables["static"] = self.options.static tc.variables['static'] = self.options.static
tc.variables["unity"] = self.options.unity tc.variables['unity'] = self.options.unity
tc.variables["xrpld"] = self.options.xrpld tc.variables['xrpld'] = self.options.xrpld
tc.generate() tc.generate()
def build(self): def build(self):
@@ -165,41 +158,40 @@ class Xrpl(ConanFile):
cmake.install() cmake.install()
def package_info(self): def package_info(self):
libxrpl = self.cpp_info.components["libxrpl"] libxrpl = self.cpp_info.components['libxrpl']
libxrpl.libs = [ libxrpl.libs = [
"xrpl", 'xrpl',
"xrpl.libpb", 'xrpl.libpb',
"ed25519", 'ed25519',
"secp256k1", 'secp256k1',
] ]
# TODO: Fix the protobufs to include each other relative to # TODO: Fix the protobufs to include each other relative to
# `include/`, not `include/ripple/proto/`. # `include/`, not `include/ripple/proto/`.
libxrpl.includedirs = ["include", "include/ripple/proto"] libxrpl.includedirs = ['include', 'include/ripple/proto']
libxrpl.requires = [ libxrpl.requires = [
"boost::headers", 'boost::headers',
"boost::chrono", 'boost::chrono',
"boost::container", 'boost::container',
"boost::coroutine", 'boost::coroutine',
"boost::date_time", 'boost::date_time',
"boost::filesystem", 'boost::filesystem',
"boost::json", 'boost::json',
"boost::program_options", 'boost::program_options',
"boost::process", 'boost::process',
"boost::regex", 'boost::regex',
"boost::system", 'boost::system',
"boost::thread", 'boost::thread',
"date::date", 'date::date',
"ed25519::ed25519", 'grpc::grpc++',
"grpc::grpc++", 'libarchive::libarchive',
"libarchive::libarchive", 'lz4::lz4',
"lz4::lz4", 'nudb::nudb',
"nudb::nudb", 'openssl::crypto',
"openssl::crypto", 'protobuf::libprotobuf',
"protobuf::libprotobuf", 'soci::soci',
"soci::soci", 'sqlite3::sqlite',
"sqlite3::sqlite", 'xxhash::xxhash',
"xxhash::xxhash", 'zlib::zlib',
"zlib::zlib",
] ]
if self.options.rocksdb: if self.options.rocksdb:
libxrpl.requires.append("rocksdb::librocksdb") libxrpl.requires.append('rocksdb::librocksdb')

1
external/README.md vendored
View File

@@ -5,4 +5,5 @@ The subdirectories in this directory contain external libraries used by rippled.
| Folder | Upstream | Description | | 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++ | | `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 | | `secp256k1` | [Project](https://github.com/bitcoin-core/secp256k1) | ECDSA digital signatures using the **secp256k1** curve |

51
external/ed25519-donna/CMakeLists.txt vendored Normal file
View File

@@ -0,0 +1,51 @@
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}"
)

183
external/ed25519-donna/README.md vendored Normal file
View File

@@ -0,0 +1,183 @@
[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

@@ -0,0 +1,579 @@
/*
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

@@ -0,0 +1,413 @@
/*
Public domain by Adam Langley <agl@imperialviolet.org> &
Andrew M. <liquidsun@gmail.com>
See: https://github.com/floodyberry/curve25519-donna
64bit integer curve25519 implementation
*/
typedef uint64_t bignum25519[5];
static const uint64_t reduce_mask_40 = ((uint64_t)1 << 40) - 1;
static const uint64_t reduce_mask_51 = ((uint64_t)1 << 51) - 1;
static const uint64_t reduce_mask_56 = ((uint64_t)1 << 56) - 1;
/* out = in */
DONNA_INLINE static void
curve25519_copy(bignum25519 out, const bignum25519 in) {
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
out[4] = in[4];
}
/* out = a + b */
DONNA_INLINE static void
curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) {
out[0] = a[0] + b[0];
out[1] = a[1] + b[1];
out[2] = a[2] + b[2];
out[3] = a[3] + b[3];
out[4] = a[4] + b[4];
}
/* out = a + b, where a and/or b are the result of a basic op (add,sub) */
DONNA_INLINE static void
curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
out[0] = a[0] + b[0];
out[1] = a[1] + b[1];
out[2] = a[2] + b[2];
out[3] = a[3] + b[3];
out[4] = a[4] + b[4];
}
DONNA_INLINE static void
curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
uint64_t c;
out[0] = a[0] + b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
out[1] = a[1] + b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
out[2] = a[2] + b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
out[3] = a[3] + b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
out[4] = a[4] + b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
out[0] += c * 19;
}
/* multiples of p */
static const uint64_t twoP0 = 0x0fffffffffffda;
static const uint64_t twoP1234 = 0x0ffffffffffffe;
static const uint64_t fourP0 = 0x1fffffffffffb4;
static const uint64_t fourP1234 = 0x1ffffffffffffc;
/* out = a - b */
DONNA_INLINE static void
curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) {
out[0] = a[0] + twoP0 - b[0];
out[1] = a[1] + twoP1234 - b[1];
out[2] = a[2] + twoP1234 - b[2];
out[3] = a[3] + twoP1234 - b[3];
out[4] = a[4] + twoP1234 - b[4];
}
/* out = a - b, where a and/or b are the result of a basic op (add,sub) */
DONNA_INLINE static void
curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) {
out[0] = a[0] + fourP0 - b[0];
out[1] = a[1] + fourP1234 - b[1];
out[2] = a[2] + fourP1234 - b[2];
out[3] = a[3] + fourP1234 - b[3];
out[4] = a[4] + fourP1234 - b[4];
}
DONNA_INLINE static void
curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) {
uint64_t c;
out[0] = a[0] + fourP0 - b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
out[1] = a[1] + fourP1234 - b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
out[2] = a[2] + fourP1234 - b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
out[3] = a[3] + fourP1234 - b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
out[4] = a[4] + fourP1234 - b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
out[0] += c * 19;
}
/* out = -a */
DONNA_INLINE static void
curve25519_neg(bignum25519 out, const bignum25519 a) {
uint64_t c;
out[0] = twoP0 - a[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51;
out[1] = twoP1234 - a[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51;
out[2] = twoP1234 - a[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51;
out[3] = twoP1234 - a[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51;
out[4] = twoP1234 - a[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51;
out[0] += c * 19;
}
/* out = a * b */
DONNA_INLINE static void
curve25519_mul(bignum25519 out, const bignum25519 in2, const bignum25519 in) {
#if !defined(HAVE_NATIVE_UINT128)
uint128_t mul;
#endif
uint128_t t[5];
uint64_t r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c;
r0 = in[0];
r1 = in[1];
r2 = in[2];
r3 = in[3];
r4 = in[4];
s0 = in2[0];
s1 = in2[1];
s2 = in2[2];
s3 = in2[3];
s4 = in2[4];
#if defined(HAVE_NATIVE_UINT128)
t[0] = ((uint128_t) r0) * s0;
t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0;
t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1;
t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1;
t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2;
#else
mul64x64_128(t[0], r0, s0)
mul64x64_128(t[1], r0, s1) mul64x64_128(mul, r1, s0) add128(t[1], mul)
mul64x64_128(t[2], r0, s2) mul64x64_128(mul, r2, s0) add128(t[2], mul) mul64x64_128(mul, r1, s1) add128(t[2], mul)
mul64x64_128(t[3], r0, s3) mul64x64_128(mul, r3, s0) add128(t[3], mul) mul64x64_128(mul, r1, s2) add128(t[3], mul) mul64x64_128(mul, r2, s1) add128(t[3], mul)
mul64x64_128(t[4], r0, s4) mul64x64_128(mul, r4, s0) add128(t[4], mul) mul64x64_128(mul, r3, s1) add128(t[4], mul) mul64x64_128(mul, r1, s3) add128(t[4], mul) mul64x64_128(mul, r2, s2) add128(t[4], mul)
#endif
r1 *= 19;
r2 *= 19;
r3 *= 19;
r4 *= 19;
#if defined(HAVE_NATIVE_UINT128)
t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2;
t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3;
t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4;
t[3] += ((uint128_t) r4) * s4;
#else
mul64x64_128(mul, r4, s1) add128(t[0], mul) mul64x64_128(mul, r1, s4) add128(t[0], mul) mul64x64_128(mul, r2, s3) add128(t[0], mul) mul64x64_128(mul, r3, s2) add128(t[0], mul)
mul64x64_128(mul, r4, s2) add128(t[1], mul) mul64x64_128(mul, r2, s4) add128(t[1], mul) mul64x64_128(mul, r3, s3) add128(t[1], mul)
mul64x64_128(mul, r4, s3) add128(t[2], mul) mul64x64_128(mul, r3, s4) add128(t[2], mul)
mul64x64_128(mul, r4, s4) add128(t[3], mul)
#endif
r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51);
add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51);
add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51);
add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51);
add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51);
r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51;
r1 += c;
out[0] = r0;
out[1] = r1;
out[2] = r2;
out[3] = r3;
out[4] = r4;
}
DONNA_NOINLINE static void
curve25519_mul_noinline(bignum25519 out, const bignum25519 in2, const bignum25519 in) {
curve25519_mul(out, in2, in);
}
/* out = in^(2 * count) */
DONNA_NOINLINE static void
curve25519_square_times(bignum25519 out, const bignum25519 in, uint64_t count) {
#if !defined(HAVE_NATIVE_UINT128)
uint128_t mul;
#endif
uint128_t t[5];
uint64_t r0,r1,r2,r3,r4,c;
uint64_t d0,d1,d2,d4,d419;
r0 = in[0];
r1 = in[1];
r2 = in[2];
r3 = in[3];
r4 = in[4];
do {
d0 = r0 * 2;
d1 = r1 * 2;
d2 = r2 * 2 * 19;
d419 = r4 * 19;
d4 = d419 * 2;
#if defined(HAVE_NATIVE_UINT128)
t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 ));
t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19));
t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 ));
t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 ));
t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 ));
#else
mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul)
mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul)
mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul)
mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul)
mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul)
#endif
r0 = lo128(t[0]) & reduce_mask_51;
r1 = lo128(t[1]) & reduce_mask_51; shl128(c, t[0], 13); r1 += c;
r2 = lo128(t[2]) & reduce_mask_51; shl128(c, t[1], 13); r2 += c;
r3 = lo128(t[3]) & reduce_mask_51; shl128(c, t[2], 13); r3 += c;
r4 = lo128(t[4]) & reduce_mask_51; shl128(c, t[3], 13); r4 += c;
shl128(c, t[4], 13); r0 += c * 19;
c = r0 >> 51; r0 &= reduce_mask_51;
r1 += c ; c = r1 >> 51; r1 &= reduce_mask_51;
r2 += c ; c = r2 >> 51; r2 &= reduce_mask_51;
r3 += c ; c = r3 >> 51; r3 &= reduce_mask_51;
r4 += c ; c = r4 >> 51; r4 &= reduce_mask_51;
r0 += c * 19;
} while(--count);
out[0] = r0;
out[1] = r1;
out[2] = r2;
out[3] = r3;
out[4] = r4;
}
DONNA_INLINE static void
curve25519_square(bignum25519 out, const bignum25519 in) {
#if !defined(HAVE_NATIVE_UINT128)
uint128_t mul;
#endif
uint128_t t[5];
uint64_t r0,r1,r2,r3,r4,c;
uint64_t d0,d1,d2,d4,d419;
r0 = in[0];
r1 = in[1];
r2 = in[2];
r3 = in[3];
r4 = in[4];
d0 = r0 * 2;
d1 = r1 * 2;
d2 = r2 * 2 * 19;
d419 = r4 * 19;
d4 = d419 * 2;
#if defined(HAVE_NATIVE_UINT128)
t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 ));
t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19));
t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 ));
t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 ));
t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 ));
#else
mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul)
mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul)
mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul)
mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul)
mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul)
#endif
r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51);
add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51);
add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51);
add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51);
add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51);
r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51;
r1 += c;
out[0] = r0;
out[1] = r1;
out[2] = r2;
out[3] = r3;
out[4] = r4;
}
/* Take a little-endian, 32-byte number and expand it into polynomial form */
DONNA_INLINE static void
curve25519_expand(bignum25519 out, const unsigned char *in) {
static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}};
uint64_t x0,x1,x2,x3;
if (endian_check.s == 1) {
x0 = *(uint64_t *)(in + 0);
x1 = *(uint64_t *)(in + 8);
x2 = *(uint64_t *)(in + 16);
x3 = *(uint64_t *)(in + 24);
} else {
#define F(s) \
((((uint64_t)in[s + 0]) ) | \
(((uint64_t)in[s + 1]) << 8) | \
(((uint64_t)in[s + 2]) << 16) | \
(((uint64_t)in[s + 3]) << 24) | \
(((uint64_t)in[s + 4]) << 32) | \
(((uint64_t)in[s + 5]) << 40) | \
(((uint64_t)in[s + 6]) << 48) | \
(((uint64_t)in[s + 7]) << 56))
x0 = F(0);
x1 = F(8);
x2 = F(16);
x3 = F(24);
}
out[0] = x0 & reduce_mask_51; x0 = (x0 >> 51) | (x1 << 13);
out[1] = x0 & reduce_mask_51; x1 = (x1 >> 38) | (x2 << 26);
out[2] = x1 & reduce_mask_51; x2 = (x2 >> 25) | (x3 << 39);
out[3] = x2 & reduce_mask_51; x3 = (x3 >> 12);
out[4] = x3 & reduce_mask_51;
}
/* Take a fully reduced polynomial form number and contract it into a
* little-endian, 32-byte array
*/
DONNA_INLINE static void
curve25519_contract(unsigned char *out, const bignum25519 input) {
uint64_t t[5];
uint64_t f, i;
t[0] = input[0];
t[1] = input[1];
t[2] = input[2];
t[3] = input[3];
t[4] = input[4];
#define curve25519_contract_carry() \
t[1] += t[0] >> 51; t[0] &= reduce_mask_51; \
t[2] += t[1] >> 51; t[1] &= reduce_mask_51; \
t[3] += t[2] >> 51; t[2] &= reduce_mask_51; \
t[4] += t[3] >> 51; t[3] &= reduce_mask_51;
#define curve25519_contract_carry_full() curve25519_contract_carry() \
t[0] += 19 * (t[4] >> 51); t[4] &= reduce_mask_51;
#define curve25519_contract_carry_final() curve25519_contract_carry() \
t[4] &= reduce_mask_51;
curve25519_contract_carry_full()
curve25519_contract_carry_full()
/* now t is between 0 and 2^255-1, properly carried. */
/* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */
t[0] += 19;
curve25519_contract_carry_full()
/* now between 19 and 2^255-1 in both cases, and offset by 19. */
t[0] += (reduce_mask_51 + 1) - 19;
t[1] += (reduce_mask_51 + 1) - 1;
t[2] += (reduce_mask_51 + 1) - 1;
t[3] += (reduce_mask_51 + 1) - 1;
t[4] += (reduce_mask_51 + 1) - 1;
/* now between 2^255 and 2^256-20, and offset by 2^255. */
curve25519_contract_carry_final()
#define write51full(n,shift) \
f = ((t[n] >> shift) | (t[n+1] << (51 - shift))); \
for (i = 0; i < 8; i++, f >>= 8) *out++ = (unsigned char)f;
#define write51(n) write51full(n,13*n)
write51(0)
write51(1)
write51(2)
write51(3)
}
#if !defined(ED25519_GCC_64BIT_CHOOSE)
/* out = (flag) ? in : out */
DONNA_INLINE static void
curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint64_t flag) {
const uint64_t nb = flag - 1, b = ~nb;
const uint64_t *inq = (const uint64_t *)in;
uint64_t *outq = (uint64_t *)out;
outq[0] = (outq[0] & nb) | (inq[0] & b);
outq[1] = (outq[1] & nb) | (inq[1] & b);
outq[2] = (outq[2] & nb) | (inq[2] & b);
outq[3] = (outq[3] & nb) | (inq[3] & b);
outq[4] = (outq[4] & nb) | (inq[4] & b);
outq[5] = (outq[5] & nb) | (inq[5] & b);
outq[6] = (outq[6] & nb) | (inq[6] & b);
outq[7] = (outq[7] & nb) | (inq[7] & b);
outq[8] = (outq[8] & nb) | (inq[8] & b);
outq[9] = (outq[9] & nb) | (inq[9] & b);
outq[10] = (outq[10] & nb) | (inq[10] & b);
outq[11] = (outq[11] & nb) | (inq[11] & b);
}
/* if (iswap) swap(a, b) */
DONNA_INLINE static void
curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint64_t iswap) {
const uint64_t swap = (uint64_t)(-(int64_t)iswap);
uint64_t x0,x1,x2,x3,x4;
x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0;
x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1;
x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2;
x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3;
x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4;
}
#endif /* ED25519_GCC_64BIT_CHOOSE */
#define ED25519_64BIT_TABLES

View File

@@ -0,0 +1,67 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
See: https://github.com/floodyberry/curve25519-donna
Curve25519 implementation agnostic helpers
*/
/*
* In: b = 2^5 - 2^0
* Out: b = 2^250 - 2^0
*/
static void
curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) {
bignum25519 ALIGN(16) t0,c;
/* 2^5 - 2^0 */ /* b */
/* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5);
/* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b);
/* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10);
/* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b);
/* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20);
/* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
/* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10);
/* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b);
/* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50);
/* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b);
/* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100);
/* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c);
/* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50);
/* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b);
}
/*
* z^(p - 2) = z(2^255 - 21)
*/
static void
curve25519_recip(bignum25519 out, const bignum25519 z) {
bignum25519 ALIGN(16) a,t0,b;
/* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */
/* 8 */ curve25519_square_times(t0, a, 2);
/* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
/* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */
/* 22 */ curve25519_square_times(t0, a, 1);
/* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
/* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
/* 2^255 - 2^5 */ curve25519_square_times(b, b, 5);
/* 2^255 - 21 */ curve25519_mul_noinline(out, b, a);
}
/*
* z^((p-5)/8) = z^(2^252 - 3)
*/
static void
curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) {
bignum25519 ALIGN(16) b,c,t0;
/* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */
/* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */
/* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */
/* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */
/* 22 */ curve25519_square_times(t0, c, 1);
/* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b);
/* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b);
/* 2^252 - 2^2 */ curve25519_square_times(b, b, 2);
/* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z);
}

File diff suppressed because it is too large Load Diff

View File

@@ -0,0 +1,513 @@
#if defined(ED25519_GCC_32BIT_SSE_CHOOSE)
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
DONNA_NOINLINE static void
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
int32_t breg = (int32_t)b;
uint32_t sign = (uint32_t)breg >> 31;
uint32_t mask = ~(sign - 1);
uint32_t u = (breg + mask) ^ mask;
__asm__ __volatile__ (
/* ysubx+xaddy */
"movl %0, %%eax ;\n"
"movd %%eax, %%xmm6 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"pxor %%xmm0, %%xmm0 ;\n"
"pxor %%xmm1, %%xmm1 ;\n"
"pxor %%xmm2, %%xmm2 ;\n"
"pxor %%xmm3, %%xmm3 ;\n"
/* 0 */
"movl $0, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movl $1, %%ecx ;\n"
"movd %%ecx, %%xmm4 ;\n"
"pxor %%xmm5, %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 1 */
"movl $1, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 0(%1), %%xmm4 ;\n"
"movdqa 16(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 32(%1), %%xmm4 ;\n"
"movdqa 48(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 2 */
"movl $2, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 96(%1), %%xmm4 ;\n"
"movdqa 112(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 128(%1), %%xmm4 ;\n"
"movdqa 144(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 3 */
"movl $3, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 192(%1), %%xmm4 ;\n"
"movdqa 208(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 224(%1), %%xmm4 ;\n"
"movdqa 240(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 4 */
"movl $4, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 288(%1), %%xmm4 ;\n"
"movdqa 304(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 320(%1), %%xmm4 ;\n"
"movdqa 336(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 5 */
"movl $5, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 384(%1), %%xmm4 ;\n"
"movdqa 400(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 416(%1), %%xmm4 ;\n"
"movdqa 432(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 6 */
"movl $6, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 480(%1), %%xmm4 ;\n"
"movdqa 496(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 512(%1), %%xmm4 ;\n"
"movdqa 528(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 7 */
"movl $7, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 576(%1), %%xmm4 ;\n"
"movdqa 592(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 608(%1), %%xmm4 ;\n"
"movdqa 624(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* 8 */
"movl $8, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 672(%1), %%xmm4 ;\n"
"movdqa 688(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm0 ;\n"
"por %%xmm5, %%xmm1 ;\n"
"movdqa 704(%1), %%xmm4 ;\n"
"movdqa 720(%1), %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"por %%xmm4, %%xmm2 ;\n"
"por %%xmm5, %%xmm3 ;\n"
/* conditional swap based on sign */
"movl %3, %%ecx ;\n"
"movl %2, %%eax ;\n"
"xorl $1, %%ecx ;\n"
"movd %%ecx, %%xmm6 ;\n"
"pxor %%xmm7, %%xmm7 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa %%xmm2, %%xmm4 ;\n"
"movdqa %%xmm3, %%xmm5 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"pand %%xmm7, %%xmm5 ;\n"
"pxor %%xmm4, %%xmm0 ;\n"
"pxor %%xmm5, %%xmm1 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
/* store ysubx */
"movd %%xmm0, %%ecx ;\n"
"movl %%ecx, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 0(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $26, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 4(%%eax) ;\n"
"movd %%xmm0, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $19, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 8(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"shrdl $13, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 12(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrl $6, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 16(%%eax) ;\n"
"movl %%edx, %%ecx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 20(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $25, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 24(%%eax) ;\n"
"movd %%xmm1, %%ecx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $19, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 28(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"shrdl $12, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 32(%%eax) ;\n"
"shrl $6, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"xorl %%ecx, %%ecx ;\n"
"movl %%edx, 36(%%eax) ;\n"
"movl %%ecx, 40(%%eax) ;\n"
"movl %%ecx, 44(%%eax) ;\n"
/* store xaddy */
"addl $48, %%eax ;\n"
"movdqa %%xmm2, %%xmm0 ;\n"
"movdqa %%xmm3, %%xmm1 ;\n"
"movd %%xmm0, %%ecx ;\n"
"movl %%ecx, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 0(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $26, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 4(%%eax) ;\n"
"movd %%xmm0, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $19, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 8(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"shrdl $13, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 12(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrl $6, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 16(%%eax) ;\n"
"movl %%edx, %%ecx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 20(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $25, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 24(%%eax) ;\n"
"movd %%xmm1, %%ecx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $19, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 28(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"shrdl $12, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 32(%%eax) ;\n"
"shrl $6, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"xorl %%ecx, %%ecx ;\n"
"movl %%edx, 36(%%eax) ;\n"
"movl %%ecx, 40(%%eax) ;\n"
"movl %%ecx, 44(%%eax) ;\n"
/* t2d */
"movl %0, %%eax ;\n"
"movd %%eax, %%xmm6 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"pxor %%xmm0, %%xmm0 ;\n"
"pxor %%xmm1, %%xmm1 ;\n"
/* 0 */
"movl $0, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"pxor %%xmm0, %%xmm0 ;\n"
"pxor %%xmm1, %%xmm1 ;\n"
/* 1 */
"movl $1, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 64(%1), %%xmm3 ;\n"
"movdqa 80(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 2 */
"movl $2, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 160(%1), %%xmm3 ;\n"
"movdqa 176(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 3 */
"movl $3, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 256(%1), %%xmm3 ;\n"
"movdqa 272(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 4 */
"movl $4, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 352(%1), %%xmm3 ;\n"
"movdqa 368(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 5 */
"movl $5, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 448(%1), %%xmm3 ;\n"
"movdqa 464(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 6 */
"movl $6, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 544(%1), %%xmm3 ;\n"
"movdqa 560(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 7 */
"movl $7, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 640(%1), %%xmm3 ;\n"
"movdqa 656(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* 8 */
"movl $8, %%eax ;\n"
"movd %%eax, %%xmm7 ;\n"
"pshufd $0x00, %%xmm7, %%xmm7 ;\n"
"pcmpeqd %%xmm6, %%xmm7 ;\n"
"movdqa 736(%1), %%xmm3 ;\n"
"movdqa 752(%1), %%xmm4 ;\n"
"pand %%xmm7, %%xmm3 ;\n"
"pand %%xmm7, %%xmm4 ;\n"
"por %%xmm3, %%xmm0 ;\n"
"por %%xmm4, %%xmm1 ;\n"
/* store t2d */
"movl %2, %%eax ;\n"
"addl $96, %%eax ;\n"
"movd %%xmm0, %%ecx ;\n"
"movl %%ecx, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 0(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $26, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 4(%%eax) ;\n"
"movd %%xmm0, %%edx ;\n"
"pshufd $0x39, %%xmm0, %%xmm0 ;\n"
"shrdl $19, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 8(%%eax) ;\n"
"movd %%xmm0, %%ecx ;\n"
"shrdl $13, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 12(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrl $6, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 16(%%eax) ;\n"
"movl %%edx, %%ecx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 20(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $25, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 24(%%eax) ;\n"
"movd %%xmm1, %%ecx ;\n"
"pshufd $0x39, %%xmm1, %%xmm1 ;\n"
"shrdl $19, %%ecx, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"movl %%edx, 28(%%eax) ;\n"
"movd %%xmm1, %%edx ;\n"
"movd %%xmm1, %%edx ;\n"
"shrdl $12, %%edx, %%ecx ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"movl %%ecx, 32(%%eax) ;\n"
"shrl $6, %%edx ;\n"
"andl $0x1ffffff, %%edx ;\n"
"xorl %%ecx, %%ecx ;\n"
"movl %%edx, 36(%%eax) ;\n"
"movl %%ecx, 40(%%eax) ;\n"
"movl %%ecx, 44(%%eax) ;\n"
"movdqa 0(%%eax), %%xmm0 ;\n"
"movdqa 16(%%eax), %%xmm1 ;\n"
"movdqa 32(%%eax), %%xmm2 ;\n"
/* conditionally negate t2d */
/* set up 2p in to 3/4 */
"movl $0x7ffffda, %%ecx ;\n"
"movl $0x3fffffe, %%edx ;\n"
"movd %%ecx, %%xmm3 ;\n"
"movd %%edx, %%xmm5 ;\n"
"movl $0x7fffffe, %%ecx ;\n"
"movd %%ecx, %%xmm4 ;\n"
"punpckldq %%xmm5, %%xmm3 ;\n"
"punpckldq %%xmm5, %%xmm4 ;\n"
"punpcklqdq %%xmm4, %%xmm3 ;\n"
"movdqa %%xmm4, %%xmm5 ;\n"
"punpcklqdq %%xmm4, %%xmm4 ;\n"
/* subtract and conditionally move */
"movl %3, %%ecx ;\n"
"sub $1, %%ecx ;\n"
"movd %%ecx, %%xmm6 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"movdqa %%xmm6, %%xmm7 ;\n"
"psubd %%xmm0, %%xmm3 ;\n"
"psubd %%xmm1, %%xmm4 ;\n"
"psubd %%xmm2, %%xmm5 ;\n"
"pand %%xmm6, %%xmm0 ;\n"
"pand %%xmm6, %%xmm1 ;\n"
"pand %%xmm6, %%xmm2 ;\n"
"pandn %%xmm3, %%xmm6 ;\n"
"movdqa %%xmm7, %%xmm3 ;\n"
"pandn %%xmm4, %%xmm7 ;\n"
"pandn %%xmm5, %%xmm3 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm3, %%xmm2 ;\n"
/* store */
"movdqa %%xmm0, 0(%%eax) ;\n"
"movdqa %%xmm1, 16(%%eax) ;\n"
"movdqa %%xmm2, 32(%%eax) ;\n"
:
: "m"(u), "r"(&table[pos * 8]), "m"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
: "%eax", "%ecx", "%edx", "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "cc", "memory"
);
}
#endif /* defined(ED25519_GCC_32BIT_SSE_CHOOSE) */

View File

@@ -0,0 +1,61 @@
static const ge25519 ALIGN(16) ge25519_basepoint = {
{0x0325d51a,0x018b5823,0x00f6592a,0x0104a92d,0x01a4b31d,0x01d6dc5c,0x027118fe,0x007fd814,0x013cd6e5,0x0085a4db},
{0x02666658,0x01999999,0x00cccccc,0x01333333,0x01999999,0x00666666,0x03333333,0x00cccccc,0x02666666,0x01999999},
{0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000},
{0x01b7dda3,0x01a2ace9,0x025eadbb,0x0003ba8a,0x0083c27e,0x00abe37d,0x01274732,0x00ccacdd,0x00fd78b7,0x019e1d7c}
};
/*
d
*/
static const bignum25519 ALIGN(16) ge25519_ecd = {
0x035978a3,0x00d37284,0x03156ebd,0x006a0a0e,0x0001c029,0x0179e898,0x03a03cbb,0x01ce7198,0x02e2b6ff,0x01480db3
};
static const bignum25519 ALIGN(16) ge25519_ec2d = {
0x02b2f159,0x01a6e509,0x022add7a,0x00d4141d,0x00038052,0x00f3d130,0x03407977,0x019ce331,0x01c56dff,0x00901b67
};
/*
sqrt(-1)
*/
static const bignum25519 ALIGN(16) ge25519_sqrtneg1 = {
0x020ea0b0,0x0186c9d2,0x008f189d,0x0035697f,0x00bd0c60,0x01fbd7a7,0x02804c9e,0x01e16569,0x0004fc1d,0x00ae0c92
};
static const ge25519_niels ALIGN(16) ge25519_niels_sliding_multiples[32] = {
{{0x0340913e,0x000e4175,0x03d673a2,0x002e8a05,0x03f4e67c,0x008f8a09,0x00c21a34,0x004cf4b8,0x01298f81,0x0113f4be},{0x018c3b85,0x0124f1bd,0x01c325f7,0x0037dc60,0x033e4cb7,0x003d42c2,0x01a44c32,0x014ca4e1,0x03a33d4b,0x001f3e74},{0x037aaa68,0x00448161,0x0093d579,0x011e6556,0x009b67a0,0x0143598c,0x01bee5ee,0x00b50b43,0x0289f0c6,0x01bc45ed}},
{{0x00fcd265,0x0047fa29,0x034faacc,0x01ef2e0d,0x00ef4d4f,0x014bd6bd,0x00f98d10,0x014c5026,0x007555bd,0x00aae456},{0x00ee9730,0x016c2a13,0x017155e4,0x01874432,0x00096a10,0x01016732,0x01a8014f,0x011e9823,0x01b9a80f,0x01e85938},{0x01d0d889,0x01a4cfc3,0x034c4295,0x0110e1ae,0x0162508c,0x00f2db4c,0x0072a2c6,0x0098da2e,0x02f12b9b,0x0168a09a}},
{{0x0047d6ba,0x0060b0e9,0x0136eff2,0x008a5939,0x03540053,0x0064a087,0x02788e5c,0x00be7c67,0x033eb1b5,0x005529f9},{0x00a5bb33,0x00af1102,0x01a05442,0x001e3af7,0x02354123,0x00bfec44,0x01f5862d,0x00dd7ba3,0x03146e20,0x00a51733},{0x012a8285,0x00f6fc60,0x023f9797,0x003e85ee,0x009c3820,0x01bda72d,0x01b3858d,0x00d35683,0x0296b3bb,0x010eaaf9}},
{{0x023221b1,0x01cb26aa,0x0074f74d,0x0099ddd1,0x01b28085,0x00192c3a,0x013b27c9,0x00fc13bd,0x01d2e531,0x0075bb75},{0x004ea3bf,0x00973425,0x001a4d63,0x01d59cee,0x01d1c0d4,0x00542e49,0x01294114,0x004fce36,0x029283c9,0x01186fa9},{0x01b8b3a2,0x00db7200,0x00935e30,0x003829f5,0x02cc0d7d,0x0077adf3,0x0220dd2c,0x0014ea53,0x01c6a0f9,0x01ea7eec}},
{{0x039d8064,0x01885f80,0x00337e6d,0x01b7a902,0x02628206,0x015eb044,0x01e30473,0x0191f2d9,0x011fadc9,0x01270169},{0x02a8632f,0x0199e2a9,0x00d8b365,0x017a8de2,0x02994279,0x0086f5b5,0x0119e4e3,0x01eb39d6,0x0338add7,0x00d2e7b4},{0x0045af1b,0x013a2fe4,0x0245e0d6,0x014538ce,0x038bfe0f,0x01d4cf16,0x037e14c9,0x0160d55e,0x0021b008,0x01cf05c8}},
{{0x01864348,0x01d6c092,0x0070262b,0x014bb844,0x00fb5acd,0x008deb95,0x003aaab5,0x00eff474,0x00029d5c,0x0062ad66},{0x02802ade,0x01c02122,0x01c4e5f7,0x00781181,0x039767fb,0x01703406,0x0342388b,0x01f5e227,0x022546d8,0x0109d6ab},{0x016089e9,0x00cb317f,0x00949b05,0x01099417,0x000c7ad2,0x011a8622,0x0088ccda,0x01290886,0x022b53df,0x00f71954}},
{{0x027fbf93,0x01c04ecc,0x01ed6a0d,0x004cdbbb,0x02bbf3af,0x00ad5968,0x01591955,0x0094f3a2,0x02d17602,0x00099e20},{0x02007f6d,0x003088a8,0x03db77ee,0x00d5ade6,0x02fe12ce,0x0107ba07,0x0107097d,0x00482a6f,0x02ec346f,0x008d3f5f},{0x032ea378,0x0028465c,0x028e2a6c,0x018efc6e,0x0090df9a,0x01a7e533,0x039bfc48,0x010c745d,0x03daa097,0x0125ee9b}},
{{0x028ccf0b,0x00f36191,0x021ac081,0x012154c8,0x034e0a6e,0x01b25192,0x00180403,0x01d7eea1,0x00218d05,0x010ed735},{0x03cfeaa0,0x01b300c4,0x008da499,0x0068c4e1,0x0219230a,0x01f2d4d0,0x02defd60,0x00e565b7,0x017f12de,0x018788a4},{0x03d0b516,0x009d8be6,0x03ddcbb3,0x0071b9fe,0x03ace2bd,0x01d64270,0x032d3ec9,0x01084065,0x0210ae4d,0x01447584}},
{{0x0020de87,0x00e19211,0x01b68102,0x00b5ac97,0x022873c0,0x01942d25,0x01271394,0x0102073f,0x02fe2482,0x01c69ff9},{0x010e9d81,0x019dbbe5,0x0089f258,0x006e06b8,0x02951883,0x018f1248,0x019b3237,0x00bc7553,0x024ddb85,0x01b4c964},{0x01c8c854,0x0060ae29,0x01406d8e,0x01cff2f9,0x00cff451,0x01778d0c,0x03ac8c41,0x01552e59,0x036559ee,0x011d1b12}},
{{0x00741147,0x0151b219,0x01092690,0x00e877e6,0x01f4d6bb,0x0072a332,0x01cd3b03,0x00dadff2,0x0097db5e,0x0086598d},{0x01c69a2b,0x01decf1b,0x02c2fa6e,0x013b7c4f,0x037beac8,0x013a16b5,0x028e7bda,0x01f6e8ac,0x01e34fe9,0x01726947},{0x01f10e67,0x003c73de,0x022b7ea2,0x010f32c2,0x03ff776a,0x00142277,0x01d38b88,0x00776138,0x03c60822,0x01201140}},
{{0x0236d175,0x0008748e,0x03c6476d,0x013f4cdc,0x02eed02a,0x00838a47,0x032e7210,0x018bcbb3,0x00858de4,0x01dc7826},{0x00a37fc7,0x0127b40b,0x01957884,0x011d30ad,0x02816683,0x016e0e23,0x00b76be4,0x012db115,0x02516506,0x0154ce62},{0x00451edf,0x00bd749e,0x03997342,0x01cc2c4c,0x00eb6975,0x01a59508,0x03a516cf,0x00c228ef,0x0168ff5a,0x01697b47}},
{{0x00527359,0x01783156,0x03afd75c,0x00ce56dc,0x00e4b970,0x001cabe9,0x029e0f6d,0x0188850c,0x0135fefd,0x00066d80},{0x02150e83,0x01448abf,0x02bb0232,0x012bf259,0x033c8268,0x00711e20,0x03fc148f,0x005e0e70,0x017d8bf9,0x0112b2e2},{0x02134b83,0x001a0517,0x0182c3cc,0x00792182,0x0313d799,0x001a3ed7,0x0344547e,0x01f24a0d,0x03de6ad2,0x00543127}},
{{0x00dca868,0x00618f27,0x015a1709,0x00ddc38a,0x0320fd13,0x0036168d,0x0371ab06,0x01783fc7,0x0391e05f,0x01e29b5d},{0x01471138,0x00fca542,0x00ca31cf,0x01ca7bad,0x0175bfbc,0x01a708ad,0x03bce212,0x01244215,0x0075bb99,0x01acad68},{0x03a0b976,0x01dc12d1,0x011aab17,0x00aba0ba,0x029806cd,0x0142f590,0x018fd8ea,0x01a01545,0x03c4ad55,0x01c971ff}},
{{0x00d098c0,0x000afdc7,0x006cd230,0x01276af3,0x03f905b2,0x0102994c,0x002eb8a4,0x015cfbeb,0x025f855f,0x01335518},{0x01cf99b2,0x0099c574,0x01a69c88,0x00881510,0x01cd4b54,0x0112109f,0x008abdc5,0x0074647a,0x0277cb1f,0x01e53324},{0x02ac5053,0x01b109b0,0x024b095e,0x016997b3,0x02f26bb6,0x00311021,0x00197885,0x01d0a55a,0x03b6fcc8,0x01c020d5}},
{{0x02584a34,0x00e7eee0,0x03257a03,0x011e95a3,0x011ead91,0x00536202,0x00b1ce24,0x008516c6,0x03669d6d,0x004ea4a8},{0x00773f01,0x0019c9ce,0x019f6171,0x01d4afde,0x02e33323,0x01ad29b6,0x02ead1dc,0x01ed51a5,0x01851ad0,0x001bbdfa},{0x00577de5,0x00ddc730,0x038b9952,0x00f281ae,0x01d50390,0x0002e071,0x000780ec,0x010d448d,0x01f8a2af,0x00f0a5b7}},
{{0x031f2541,0x00d34bae,0x0323ff9d,0x003a056d,0x02e25443,0x00a1ad05,0x00d1bee8,0x002f7f8e,0x03007477,0x002a24b1},{0x0114a713,0x01457e76,0x032255d5,0x01cc647f,0x02a4bdef,0x0153d730,0x00118bcf,0x00f755ff,0x013490c7,0x01ea674e},{0x02bda3e8,0x00bb490d,0x00f291ea,0x000abf40,0x01dea321,0x002f9ce0,0x00b2b193,0x00fa54b5,0x0128302f,0x00a19d8b}},
{{0x022ef5bd,0x01638af3,0x038c6f8a,0x01a33a3d,0x039261b2,0x01bb89b8,0x010bcf9d,0x00cf42a9,0x023d6f17,0x01da1bca},{0x00e35b25,0x000d824f,0x0152e9cf,0x00ed935d,0x020b8460,0x01c7b83f,0x00c969e5,0x01a74198,0x0046a9d9,0x00cbc768},{0x01597c6a,0x0144a99b,0x00a57551,0x0018269c,0x023c464c,0x0009b022,0x00ee39e1,0x0114c7f2,0x038a9ad2,0x01584c17}},
{{0x03b0c0d5,0x00b30a39,0x038a6ce4,0x01ded83a,0x01c277a6,0x01010a61,0x0346d3eb,0x018d995e,0x02f2c57c,0x000c286b},{0x0092aed1,0x0125e37b,0x027ca201,0x001a6b6b,0x03290f55,0x0047ba48,0x018d916c,0x01a59062,0x013e35d4,0x0002abb1},{0x003ad2aa,0x007ddcc0,0x00c10f76,0x0001590b,0x002cfca6,0x000ed23e,0x00ee4329,0x00900f04,0x01c24065,0x0082fa70}},
{{0x02025e60,0x003912b8,0x0327041c,0x017e5ee5,0x02c0ecec,0x015a0d1c,0x02b1ce7c,0x0062220b,0x0145067e,0x01a5d931},{0x009673a6,0x00e1f609,0x00927c2a,0x016faa37,0x01650ef0,0x016f63b5,0x03cd40e1,0x003bc38f,0x0361f0ac,0x01d42acc},{0x02f81037,0x008ca0e8,0x017e23d1,0x011debfe,0x01bcbb68,0x002e2563,0x03e8add6,0x000816e5,0x03fb7075,0x0153e5ac}},
{{0x02b11ecd,0x016bf185,0x008f22ef,0x00e7d2bb,0x0225d92e,0x00ece785,0x00508873,0x017e16f5,0x01fbe85d,0x01e39a0e},{0x01669279,0x017c810a,0x024941f5,0x0023ebeb,0x00eb7688,0x005760f1,0x02ca4146,0x0073cde7,0x0052bb75,0x00f5ffa7},{0x03b8856b,0x00cb7dcd,0x02f14e06,0x001820d0,0x01d74175,0x00e59e22,0x03fba550,0x00484641,0x03350088,0x01c3c9a3}},
{{0x00dcf355,0x0104481c,0x0022e464,0x01f73fe7,0x00e03325,0x0152b698,0x02ef769a,0x00973663,0x00039b8c,0x0101395b},{0x01805f47,0x019160ec,0x03832cd0,0x008b06eb,0x03d4d717,0x004cb006,0x03a75b8f,0x013b3d30,0x01cfad88,0x01f034d1},{0x0078338a,0x01c7d2e3,0x02bc2b23,0x018b3f05,0x0280d9aa,0x005f3d44,0x0220a95a,0x00eeeb97,0x0362aaec,0x00835d51}},
{{0x01b9f543,0x013fac4d,0x02ad93ae,0x018ef464,0x0212cdf7,0x01138ba9,0x011583ab,0x019c3d26,0x028790b4,0x00e2e2b6},{0x033bb758,0x01f0dbf1,0x03734bd1,0x0129b1e5,0x02b3950e,0x003bc922,0x01a53ec8,0x018c5532,0x006f3cee,0x00ae3c79},{0x0351f95d,0x0012a737,0x03d596b8,0x017658fe,0x00ace54a,0x008b66da,0x0036c599,0x012a63a2,0x032ceba1,0x00126bac}},
{{0x03dcfe7e,0x019f4f18,0x01c81aee,0x0044bc2b,0x00827165,0x014f7c13,0x03b430f0,0x00bf96cc,0x020c8d62,0x01471997},{0x01fc7931,0x001f42dd,0x00ba754a,0x005bd339,0x003fbe49,0x016b3930,0x012a159c,0x009f83b0,0x03530f67,0x01e57b85},{0x02ecbd81,0x0096c294,0x01fce4a9,0x017701a5,0x0175047d,0x00ee4a31,0x012686e5,0x008efcd4,0x0349dc54,0x01b3466f}},
{{0x02179ca3,0x01d86414,0x03f0afd0,0x00305964,0x015c7428,0x0099711e,0x015d5442,0x00c71014,0x01b40b2e,0x01d483cf},{0x01afc386,0x01984859,0x036203ff,0x0045c6a8,0x0020a8aa,0x00990baa,0x03313f10,0x007ceede,0x027429e4,0x017806ce},{0x039357a1,0x0142f8f4,0x0294a7b6,0x00eaccf4,0x0259edb3,0x01311e6e,0x004d326f,0x0130c346,0x01ccef3c,0x01c424b2}},
{{0x0364918c,0x00148fc0,0x01638a7b,0x01a1fd5b,0x028ad013,0x0081e5a4,0x01a54f33,0x0174e101,0x003d0257,0x003a856c},{0x00051dcf,0x00f62b1d,0x0143d0ad,0x0042adbd,0x000fda90,0x01743ceb,0x0173e5e4,0x017bc749,0x03b7137a,0x0105ce96},{0x00f9218a,0x015b8c7c,0x00e102f8,0x0158d7e2,0x0169a5b8,0x00b2f176,0x018b347a,0x014cfef2,0x0214a4e3,0x017f1595}},
{{0x006d7ae5,0x0195c371,0x0391e26d,0x0062a7c6,0x003f42ab,0x010dad86,0x024f8198,0x01542b2a,0x0014c454,0x0189c471},{0x0390988e,0x00b8799d,0x02e44912,0x0078e2e6,0x00075654,0x01923eed,0x0040cd72,0x00a37c76,0x0009d466,0x00c8531d},{0x02651770,0x00609d01,0x0286c265,0x0134513c,0x00ee9281,0x005d223c,0x035c760c,0x00679b36,0x0073ecb8,0x016faa50}},
{{0x02c89be4,0x016fc244,0x02f38c83,0x018beb72,0x02b3ce2c,0x0097b065,0x034f017b,0x01dd957f,0x00148f61,0x00eab357},{0x0343d2f8,0x003398fc,0x011e368e,0x00782a1f,0x00019eea,0x00117b6f,0x0128d0d1,0x01a5e6bb,0x01944f1b,0x012b41e1},{0x03318301,0x018ecd30,0x0104d0b1,0x0038398b,0x03726701,0x019da88c,0x002d9769,0x00a7a681,0x031d9028,0x00ebfc32}},
{{0x0220405e,0x0171face,0x02d930f8,0x017f6d6a,0x023b8c47,0x0129d5f9,0x02972456,0x00a3a524,0x006f4cd2,0x004439fa},{0x00c53505,0x0190c2fd,0x00507244,0x009930f9,0x01a39270,0x01d327c6,0x0399bc47,0x01cfe13d,0x0332bd99,0x00b33e7d},{0x0203f5e4,0x003627b5,0x00018af8,0x01478581,0x004a2218,0x002e3bb7,0x039384d0,0x0146ea62,0x020b9693,0x0017155f}},
{{0x03c97e6f,0x00738c47,0x03b5db1f,0x01808fcf,0x01e8fc98,0x01ed25dd,0x01bf5045,0x00eb5c2b,0x0178fe98,0x01b85530},{0x01c20eb0,0x01aeec22,0x030b9eee,0x01b7d07e,0x0187e16f,0x014421fb,0x009fa731,0x0040b6d7,0x00841861,0x00a27fbc},{0x02d69abf,0x0058cdbf,0x0129f9ec,0x013c19ae,0x026c5b93,0x013a7fe7,0x004bb2ba,0x0063226f,0x002a95ca,0x01abefd9}},
{{0x02f5d2c1,0x00378318,0x03734fb5,0x01258073,0x0263f0f6,0x01ad70e0,0x01b56d06,0x01188fbd,0x011b9503,0x0036d2e1},{0x0113a8cc,0x01541c3e,0x02ac2bbc,0x01d95867,0x01f47459,0x00ead489,0x00ab5b48,0x01db3b45,0x00edb801,0x004b024f},{0x00b8190f,0x011fe4c2,0x00621f82,0x010508d7,0x001a5a76,0x00c7d7fd,0x03aab96d,0x019cd9dc,0x019c6635,0x00ceaa1e}},
{{0x01085cf2,0x01fd47af,0x03e3f5e1,0x004b3e99,0x01e3d46a,0x0060033c,0x015ff0a8,0x0150cdd8,0x029e8e21,0x008cf1bc},{0x00156cb1,0x003d623f,0x01a4f069,0x00d8d053,0x01b68aea,0x01ca5ab6,0x0316ae43,0x0134dc44,0x001c8d58,0x0084b343},{0x0318c781,0x0135441f,0x03a51a5e,0x019293f4,0x0048bb37,0x013d3341,0x0143151e,0x019c74e1,0x00911914,0x0076ddde}},
{{0x006bc26f,0x00d48e5f,0x00227bbe,0x00629ea8,0x01ea5f8b,0x0179a330,0x027a1d5f,0x01bf8f8e,0x02d26e2a,0x00c6b65e},{0x01701ab6,0x0051da77,0x01b4b667,0x00a0ce7c,0x038ae37b,0x012ac852,0x03a0b0fe,0x0097c2bb,0x00a017d2,0x01eb8b2a},{0x0120b962,0x0005fb42,0x0353b6fd,0x0061f8ce,0x007a1463,0x01560a64,0x00e0a792,0x01907c92,0x013a6622,0x007b47f1}}
};

View File

@@ -0,0 +1,436 @@
#if defined(ED25519_GCC_64BIT_SSE_CHOOSE)
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
DONNA_NOINLINE static void
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
int64_t breg = (int64_t)b;
uint64_t sign = (uint64_t)breg >> 63;
uint64_t mask = ~(sign - 1);
uint64_t u = (breg + mask) ^ mask;
__asm__ __volatile__ (
/* ysubx+xaddy+t2d */
"movq %0, %%rax ;\n"
"movd %%rax, %%xmm14 ;\n"
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
"pxor %%xmm0, %%xmm0 ;\n"
"pxor %%xmm1, %%xmm1 ;\n"
"pxor %%xmm2, %%xmm2 ;\n"
"pxor %%xmm3, %%xmm3 ;\n"
"pxor %%xmm4, %%xmm4 ;\n"
"pxor %%xmm5, %%xmm5 ;\n"
/* 0 */
"movq $0, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movq $1, %%rax ;\n"
"movd %%rax, %%xmm6 ;\n"
"pxor %%xmm7, %%xmm7 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm6, %%xmm2 ;\n"
"por %%xmm7, %%xmm3 ;\n"
/* 1 */
"movq $1, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 0(%1), %%xmm6 ;\n"
"movdqa 16(%1), %%xmm7 ;\n"
"movdqa 32(%1), %%xmm8 ;\n"
"movdqa 48(%1), %%xmm9 ;\n"
"movdqa 64(%1), %%xmm10 ;\n"
"movdqa 80(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 2 */
"movq $2, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 96(%1), %%xmm6 ;\n"
"movdqa 112(%1), %%xmm7 ;\n"
"movdqa 128(%1), %%xmm8 ;\n"
"movdqa 144(%1), %%xmm9 ;\n"
"movdqa 160(%1), %%xmm10 ;\n"
"movdqa 176(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 3 */
"movq $3, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 192(%1), %%xmm6 ;\n"
"movdqa 208(%1), %%xmm7 ;\n"
"movdqa 224(%1), %%xmm8 ;\n"
"movdqa 240(%1), %%xmm9 ;\n"
"movdqa 256(%1), %%xmm10 ;\n"
"movdqa 272(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 4 */
"movq $4, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 288(%1), %%xmm6 ;\n"
"movdqa 304(%1), %%xmm7 ;\n"
"movdqa 320(%1), %%xmm8 ;\n"
"movdqa 336(%1), %%xmm9 ;\n"
"movdqa 352(%1), %%xmm10 ;\n"
"movdqa 368(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 5 */
"movq $5, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 384(%1), %%xmm6 ;\n"
"movdqa 400(%1), %%xmm7 ;\n"
"movdqa 416(%1), %%xmm8 ;\n"
"movdqa 432(%1), %%xmm9 ;\n"
"movdqa 448(%1), %%xmm10 ;\n"
"movdqa 464(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 6 */
"movq $6, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 480(%1), %%xmm6 ;\n"
"movdqa 496(%1), %%xmm7 ;\n"
"movdqa 512(%1), %%xmm8 ;\n"
"movdqa 528(%1), %%xmm9 ;\n"
"movdqa 544(%1), %%xmm10 ;\n"
"movdqa 560(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 7 */
"movq $7, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 576(%1), %%xmm6 ;\n"
"movdqa 592(%1), %%xmm7 ;\n"
"movdqa 608(%1), %%xmm8 ;\n"
"movdqa 624(%1), %%xmm9 ;\n"
"movdqa 640(%1), %%xmm10 ;\n"
"movdqa 656(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 8 */
"movq $8, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 672(%1), %%xmm6 ;\n"
"movdqa 688(%1), %%xmm7 ;\n"
"movdqa 704(%1), %%xmm8 ;\n"
"movdqa 720(%1), %%xmm9 ;\n"
"movdqa 736(%1), %%xmm10 ;\n"
"movdqa 752(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* conditionally swap ysubx and xaddy */
"movq %3, %%rax ;\n"
"xorq $1, %%rax ;\n"
"movd %%rax, %%xmm14 ;\n"
"pxor %%xmm15, %%xmm15 ;\n"
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa %%xmm2, %%xmm6 ;\n"
"movdqa %%xmm3, %%xmm7 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pxor %%xmm6, %%xmm0 ;\n"
"pxor %%xmm7, %%xmm1 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
/* store ysubx */
"xorq %%rax, %%rax ;\n"
"movd %%xmm0, %%rcx ;\n"
"movd %%xmm0, %%r8 ;\n"
"movd %%xmm1, %%rsi ;\n"
"pshufd $0xee, %%xmm0, %%xmm0 ;\n"
"pshufd $0xee, %%xmm1, %%xmm1 ;\n"
"movd %%xmm0, %%rdx ;\n"
"movd %%xmm1, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movl %%ecx, 0(%2) ;\n"
"movl %%r9d, 4(%2) ;\n"
"movl %%r8d, 8(%2) ;\n"
"movl %%r10d, 12(%2) ;\n"
"movl %%edx, 16(%2) ;\n"
"movl %%r11d, 20(%2) ;\n"
"movl %%esi, 24(%2) ;\n"
"movl %%r12d, 28(%2) ;\n"
"movl %%edi, 32(%2) ;\n"
"movl %%r13d, 36(%2) ;\n"
"movq %%rax, 40(%2) ;\n"
/* store xaddy */
"movd %%xmm2, %%rcx ;\n"
"movd %%xmm2, %%r8 ;\n"
"movd %%xmm3, %%rsi ;\n"
"pshufd $0xee, %%xmm2, %%xmm2 ;\n"
"pshufd $0xee, %%xmm3, %%xmm3 ;\n"
"movd %%xmm2, %%rdx ;\n"
"movd %%xmm3, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movl %%ecx, 48(%2) ;\n"
"movl %%r9d, 52(%2) ;\n"
"movl %%r8d, 56(%2) ;\n"
"movl %%r10d, 60(%2) ;\n"
"movl %%edx, 64(%2) ;\n"
"movl %%r11d, 68(%2) ;\n"
"movl %%esi, 72(%2) ;\n"
"movl %%r12d, 76(%2) ;\n"
"movl %%edi, 80(%2) ;\n"
"movl %%r13d, 84(%2) ;\n"
"movq %%rax, 88(%2) ;\n"
/* extract t2d */
"xorq %%rax, %%rax ;\n"
"movd %%xmm4, %%rcx ;\n"
"movd %%xmm4, %%r8 ;\n"
"movd %%xmm5, %%rsi ;\n"
"pshufd $0xee, %%xmm4, %%xmm4 ;\n"
"pshufd $0xee, %%xmm5, %%xmm5 ;\n"
"movd %%xmm4, %%rdx ;\n"
"movd %%xmm5, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movd %%ecx, %%xmm0 ;\n"
"movd %%r9d, %%xmm4 ;\n"
"movd %%r8d, %%xmm8 ;\n"
"movd %%r10d, %%xmm3 ;\n"
"movd %%edx, %%xmm1 ;\n"
"movd %%r11d, %%xmm5 ;\n"
"movd %%esi, %%xmm6 ;\n"
"movd %%r12d, %%xmm7 ;\n"
"movd %%edi, %%xmm2 ;\n"
"movd %%r13d, %%xmm9 ;\n"
"punpckldq %%xmm4, %%xmm0 ;\n"
"punpckldq %%xmm3, %%xmm8 ;\n"
"punpckldq %%xmm5, %%xmm1 ;\n"
"punpckldq %%xmm7, %%xmm6 ;\n"
"punpckldq %%xmm9, %%xmm2 ;\n"
"punpcklqdq %%xmm8, %%xmm0 ;\n"
"punpcklqdq %%xmm6, %%xmm1 ;\n"
/* set up 2p in to 3/4 */
"movl $0x7ffffda, %%ecx ;\n"
"movl $0x3fffffe, %%edx ;\n"
"movl $0x7fffffe, %%eax ;\n"
"movd %%ecx, %%xmm3 ;\n"
"movd %%edx, %%xmm5 ;\n"
"movd %%eax, %%xmm4 ;\n"
"punpckldq %%xmm5, %%xmm3 ;\n"
"punpckldq %%xmm5, %%xmm4 ;\n"
"punpcklqdq %%xmm4, %%xmm3 ;\n"
"movdqa %%xmm4, %%xmm5 ;\n"
"punpcklqdq %%xmm4, %%xmm4 ;\n"
/* subtract and conditionally move */
"movl %3, %%ecx ;\n"
"sub $1, %%ecx ;\n"
"movd %%ecx, %%xmm6 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"movdqa %%xmm6, %%xmm7 ;\n"
"psubd %%xmm0, %%xmm3 ;\n"
"psubd %%xmm1, %%xmm4 ;\n"
"psubd %%xmm2, %%xmm5 ;\n"
"pand %%xmm6, %%xmm0 ;\n"
"pand %%xmm6, %%xmm1 ;\n"
"pand %%xmm6, %%xmm2 ;\n"
"pandn %%xmm3, %%xmm6 ;\n"
"movdqa %%xmm7, %%xmm3 ;\n"
"pandn %%xmm4, %%xmm7 ;\n"
"pandn %%xmm5, %%xmm3 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm3, %%xmm2 ;\n"
/* store t2d */
"movdqa %%xmm0, 96(%2) ;\n"
"movdqa %%xmm1, 112(%2) ;\n"
"movdqa %%xmm2, 128(%2) ;\n"
:
: "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
:
"%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13",
"%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14",
"cc", "memory"
);
}
#endif /* defined(ED25519_GCC_64BIT_SSE_CHOOSE) */

View File

@@ -0,0 +1,53 @@
static const ge25519 ge25519_basepoint = {
{0x00062d608f25d51a,0x000412a4b4f6592a,0x00075b7171a4b31d,0x0001ff60527118fe,0x000216936d3cd6e5},
{0x0006666666666658,0x0004cccccccccccc,0x0001999999999999,0x0003333333333333,0x0006666666666666},
{0x0000000000000001,0x0000000000000000,0x0000000000000000,0x0000000000000000,0x0000000000000000},
{0x00068ab3a5b7dda3,0x00000eea2a5eadbb,0x0002af8df483c27e,0x000332b375274732,0x00067875f0fd78b7}
};
static const bignum25519 ge25519_ecd = {
0x00034dca135978a3,0x0001a8283b156ebd,0x0005e7a26001c029,0x000739c663a03cbb,0x00052036cee2b6ff
};
static const bignum25519 ge25519_ec2d = {
0x00069b9426b2f159,0x00035050762add7a,0x0003cf44c0038052,0x0006738cc7407977,0x0002406d9dc56dff
};
static const bignum25519 ge25519_sqrtneg1 = {
0x00061b274a0ea0b0,0x0000d5a5fc8f189d,0x0007ef5e9cbd0c60,0x00078595a6804c9e,0x0002b8324804fc1d
};
static const ge25519_niels ge25519_niels_sliding_multiples[32] = {
{{0x00003905d740913e,0x0000ba2817d673a2,0x00023e2827f4e67c,0x000133d2e0c21a34,0x00044fd2f9298f81},{0x000493c6f58c3b85,0x0000df7181c325f7,0x0000f50b0b3e4cb7,0x0005329385a44c32,0x00007cf9d3a33d4b},{0x00011205877aaa68,0x000479955893d579,0x00050d66309b67a0,0x0002d42d0dbee5ee,0x0006f117b689f0c6}},
{{0x00011fe8a4fcd265,0x0007bcb8374faacc,0x00052f5af4ef4d4f,0x0005314098f98d10,0x0002ab91587555bd},{0x0005b0a84cee9730,0x00061d10c97155e4,0x0004059cc8096a10,0x00047a608da8014f,0x0007a164e1b9a80f},{0x0006933f0dd0d889,0x00044386bb4c4295,0x0003cb6d3162508c,0x00026368b872a2c6,0x0005a2826af12b9b}},
{{0x000182c3a447d6ba,0x00022964e536eff2,0x000192821f540053,0x0002f9f19e788e5c,0x000154a7e73eb1b5},{0x0002bc4408a5bb33,0x000078ebdda05442,0x0002ffb112354123,0x000375ee8df5862d,0x0002945ccf146e20},{0x0003dbf1812a8285,0x0000fa17ba3f9797,0x0006f69cb49c3820,0x00034d5a0db3858d,0x00043aabe696b3bb}},
{{0x00072c9aaa3221b1,0x000267774474f74d,0x000064b0e9b28085,0x0003f04ef53b27c9,0x0001d6edd5d2e531},{0x00025cd0944ea3bf,0x00075673b81a4d63,0x000150b925d1c0d4,0x00013f38d9294114,0x000461bea69283c9},{0x00036dc801b8b3a2,0x0000e0a7d4935e30,0x0001deb7cecc0d7d,0x000053a94e20dd2c,0x0007a9fbb1c6a0f9}},
{{0x0006217e039d8064,0x0006dea408337e6d,0x00057ac112628206,0x000647cb65e30473,0x00049c05a51fadc9},{0x0006678aa6a8632f,0x0005ea3788d8b365,0x00021bd6d6994279,0x0007ace75919e4e3,0x00034b9ed338add7},{0x0004e8bf9045af1b,0x000514e33a45e0d6,0x0007533c5b8bfe0f,0x000583557b7e14c9,0x00073c172021b008}},
{{0x00075b0249864348,0x00052ee11070262b,0x000237ae54fb5acd,0x0003bfd1d03aaab5,0x00018ab598029d5c},{0x000700848a802ade,0x0001e04605c4e5f7,0x0005c0d01b9767fb,0x0007d7889f42388b,0x0004275aae2546d8},{0x00032cc5fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x0004a4221888ccda,0x0003dc65522b53df}},
{{0x0007013b327fbf93,0x0001336eeded6a0d,0x0002b565a2bbf3af,0x000253ce89591955,0x0000267882d17602},{0x0000c222a2007f6d,0x000356b79bdb77ee,0x00041ee81efe12ce,0x000120a9bd07097d,0x000234fd7eec346f},{0x0000a119732ea378,0x00063bf1ba8e2a6c,0x00069f94cc90df9a,0x000431d1779bfc48,0x000497ba6fdaa097}},
{{0x0003cd86468ccf0b,0x00048553221ac081,0x0006c9464b4e0a6e,0x00075fba84180403,0x00043b5cd4218d05},{0x0006cc0313cfeaa0,0x0001a313848da499,0x0007cb534219230a,0x00039596dedefd60,0x00061e22917f12de},{0x0002762f9bd0b516,0x0001c6e7fbddcbb3,0x00075909c3ace2bd,0x00042101972d3ec9,0x000511d61210ae4d}},
{{0x000386484420de87,0x0002d6b25db68102,0x000650b4962873c0,0x0004081cfd271394,0x00071a7fe6fe2482},{0x000676ef950e9d81,0x0001b81ae089f258,0x00063c4922951883,0x0002f1d54d9b3237,0x0006d325924ddb85},{0x000182b8a5c8c854,0x00073fcbe5406d8e,0x0005de3430cff451,0x000554b967ac8c41,0x0004746c4b6559ee}},
{{0x000546c864741147,0x0003a1df99092690,0x0001ca8cc9f4d6bb,0x00036b7fc9cd3b03,0x000219663497db5e},{0x00077b3c6dc69a2b,0x0004edf13ec2fa6e,0x0004e85ad77beac8,0x0007dba2b28e7bda,0x0005c9a51de34fe9},{0x0000f1cf79f10e67,0x00043ccb0a2b7ea2,0x00005089dfff776a,0x0001dd84e1d38b88,0x0004804503c60822}},
{{0x000021d23a36d175,0x0004fd3373c6476d,0x00020e291eeed02a,0x00062f2ecf2e7210,0x000771e098858de4},{0x00049ed02ca37fc7,0x000474c2b5957884,0x0005b8388e816683,0x0004b6c454b76be4,0x000553398a516506},{0x0002f5d278451edf,0x000730b133997342,0x0006965420eb6975,0x000308a3bfa516cf,0x0005a5ed1d68ff5a}},
{{0x0005e0c558527359,0x0003395b73afd75c,0x000072afa4e4b970,0x00062214329e0f6d,0x000019b60135fefd},{0x0005122afe150e83,0x0004afc966bb0232,0x0001c478833c8268,0x00017839c3fc148f,0x00044acb897d8bf9},{0x000068145e134b83,0x0001e4860982c3cc,0x000068fb5f13d799,0x0007c9283744547e,0x000150c49fde6ad2}},
{{0x0001863c9cdca868,0x0003770e295a1709,0x0000d85a3720fd13,0x0005e0ff1f71ab06,0x00078a6d7791e05f},{0x0003f29509471138,0x000729eeb4ca31cf,0x00069c22b575bfbc,0x0004910857bce212,0x0006b2b5a075bb99},{0x0007704b47a0b976,0x0002ae82e91aab17,0x00050bd6429806cd,0x00068055158fd8ea,0x000725c7ffc4ad55}},
{{0x00002bf71cd098c0,0x00049dabcc6cd230,0x00040a6533f905b2,0x000573efac2eb8a4,0x0004cd54625f855f},{0x00026715d1cf99b2,0x0002205441a69c88,0x000448427dcd4b54,0x0001d191e88abdc5,0x000794cc9277cb1f},{0x0006c426c2ac5053,0x0005a65ece4b095e,0x0000c44086f26bb6,0x0007429568197885,0x0007008357b6fcc8}},
{{0x00039fbb82584a34,0x00047a568f257a03,0x00014d88091ead91,0x0002145b18b1ce24,0x00013a92a3669d6d},{0x0000672738773f01,0x000752bf799f6171,0x0006b4a6dae33323,0x0007b54696ead1dc,0x00006ef7e9851ad0},{0x0003771cc0577de5,0x0003ca06bb8b9952,0x00000b81c5d50390,0x00043512340780ec,0x0003c296ddf8a2af}},
{{0x00034d2ebb1f2541,0x0000e815b723ff9d,0x000286b416e25443,0x0000bdfe38d1bee8,0x0000a892c7007477},{0x000515f9d914a713,0x00073191ff2255d5,0x00054f5cc2a4bdef,0x0003dd57fc118bcf,0x0007a99d393490c7},{0x0002ed2436bda3e8,0x00002afd00f291ea,0x0000be7381dea321,0x0003e952d4b2b193,0x000286762d28302f}},
{{0x00058e2bce2ef5bd,0x00068ce8f78c6f8a,0x0006ee26e39261b2,0x00033d0aa50bcf9d,0x0007686f2a3d6f17},{0x000036093ce35b25,0x0003b64d7552e9cf,0x00071ee0fe0b8460,0x00069d0660c969e5,0x00032f1da046a9d9},{0x000512a66d597c6a,0x0000609a70a57551,0x000026c08a3c464c,0x0004531fc8ee39e1,0x000561305f8a9ad2}},
{{0x0002cc28e7b0c0d5,0x00077b60eb8a6ce4,0x0004042985c277a6,0x000636657b46d3eb,0x000030a1aef2c57c},{0x0004978dec92aed1,0x000069adae7ca201,0x00011ee923290f55,0x00069641898d916c,0x00000aaec53e35d4},{0x0001f773003ad2aa,0x000005642cc10f76,0x00003b48f82cfca6,0x0002403c10ee4329,0x00020be9c1c24065}},
{{0x0000e44ae2025e60,0x0005f97b9727041c,0x0005683472c0ecec,0x000188882eb1ce7c,0x00069764c545067e},{0x000387d8249673a6,0x0005bea8dc927c2a,0x0005bd8ed5650ef0,0x0000ef0e3fcd40e1,0x000750ab3361f0ac},{0x00023283a2f81037,0x000477aff97e23d1,0x0000b8958dbcbb68,0x0000205b97e8add6,0x00054f96b3fb7075}},
{{0x0005afc616b11ecd,0x00039f4aec8f22ef,0x0003b39e1625d92e,0x0005f85bd4508873,0x00078e6839fbe85d},{0x0005f20429669279,0x00008fafae4941f5,0x00015d83c4eb7688,0x0001cf379eca4146,0x0003d7fe9c52bb75},{0x00032df737b8856b,0x0000608342f14e06,0x0003967889d74175,0x0001211907fba550,0x00070f268f350088}},
{{0x0004112070dcf355,0x0007dcff9c22e464,0x00054ada60e03325,0x00025cd98eef769a,0x000404e56c039b8c},{0x00064583b1805f47,0x00022c1baf832cd0,0x000132c01bd4d717,0x0004ecf4c3a75b8f,0x0007c0d345cfad88},{0x00071f4b8c78338a,0x00062cfc16bc2b23,0x00017cf51280d9aa,0x0003bbae5e20a95a,0x00020d754762aaec}},
{{0x0004feb135b9f543,0x00063bd192ad93ae,0x00044e2ea612cdf7,0x000670f4991583ab,0x00038b8ada8790b4},{0x0007c36fc73bb758,0x0004a6c797734bd1,0x0000ef248ab3950e,0x00063154c9a53ec8,0x0002b8f1e46f3cee},{0x00004a9cdf51f95d,0x0005d963fbd596b8,0x00022d9b68ace54a,0x0004a98e8836c599,0x000049aeb32ceba1}},
{{0x00067d3c63dcfe7e,0x000112f0adc81aee,0x00053df04c827165,0x0002fe5b33b430f0,0x00051c665e0c8d62},{0x00007d0b75fc7931,0x00016f4ce4ba754a,0x0005ace4c03fbe49,0x00027e0ec12a159c,0x000795ee17530f67},{0x00025b0a52ecbd81,0x0005dc0695fce4a9,0x0003b928c575047d,0x00023bf3512686e5,0x0006cd19bf49dc54}},
{{0x0007619052179ca3,0x0000c16593f0afd0,0x000265c4795c7428,0x00031c40515d5442,0x0007520f3db40b2e},{0x0006612165afc386,0x0001171aa36203ff,0x0002642ea820a8aa,0x0001f3bb7b313f10,0x0005e01b3a7429e4},{0x00050be3d39357a1,0x0003ab33d294a7b6,0x0004c479ba59edb3,0x0004c30d184d326f,0x00071092c9ccef3c}},
{{0x0000523f0364918c,0x000687f56d638a7b,0x00020796928ad013,0x0005d38405a54f33,0x0000ea15b03d0257},{0x0003d8ac74051dcf,0x00010ab6f543d0ad,0x0005d0f3ac0fda90,0x0005ef1d2573e5e4,0x0004173a5bb7137a},{0x00056e31f0f9218a,0x0005635f88e102f8,0x0002cbc5d969a5b8,0x000533fbc98b347a,0x0005fc565614a4e3}},
{{0x0006570dc46d7ae5,0x00018a9f1b91e26d,0x000436b6183f42ab,0x000550acaa4f8198,0x00062711c414c454},{0x0002e1e67790988e,0x0001e38b9ae44912,0x000648fbb4075654,0x00028df1d840cd72,0x0003214c7409d466},{0x0001827406651770,0x0004d144f286c265,0x00017488f0ee9281,0x00019e6cdb5c760c,0x0005bea94073ecb8}},
{{0x0005bf0912c89be4,0x00062fadcaf38c83,0x00025ec196b3ce2c,0x00077655ff4f017b,0x0003aacd5c148f61},{0x0000ce63f343d2f8,0x0001e0a87d1e368e,0x000045edbc019eea,0x0006979aed28d0d1,0x0004ad0785944f1b},{0x00063b34c3318301,0x0000e0e62d04d0b1,0x000676a233726701,0x00029e9a042d9769,0x0003aff0cb1d9028}},
{{0x0005c7eb3a20405e,0x0005fdb5aad930f8,0x0004a757e63b8c47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430bf4c53505,0x000264c3e4507244,0x00074c9f19a39270,0x00073f84f799bc47,0x0002ccf9f732bd99},{0x0000d89ed603f5e4,0x00051e1604018af8,0x0000b8eedc4a2218,0x00051ba98b9384d0,0x00005c557e0b9693}},
{{0x0001ce311fc97e6f,0x0006023f3fb5db1f,0x0007b49775e8fc98,0x0003ad70adbf5045,0x0006e154c178fe98},{0x0006bbb089c20eb0,0x0006df41fb0b9eee,0x00051087ed87e16f,0x000102db5c9fa731,0x000289fef0841861},{0x00016336fed69abf,0x0004f066b929f9ec,0x0004e9ff9e6c5b93,0x00018c89bc4bb2ba,0x0006afbf642a95ca}},
{{0x0000de0c62f5d2c1,0x00049601cf734fb5,0x0006b5c38263f0f6,0x0004623ef5b56d06,0x0000db4b851b9503},{0x00055070f913a8cc,0x000765619eac2bbc,0x0003ab5225f47459,0x00076ced14ab5b48,0x00012c093cedb801},{0x00047f9308b8190f,0x000414235c621f82,0x00031f5ff41a5a76,0x0006736773aab96d,0x00033aa8799c6635}},
{{0x0007f51ebd085cf2,0x00012cfa67e3f5e1,0x0001800cf1e3d46a,0x00054337615ff0a8,0x000233c6f29e8e21},{0x0000f588fc156cb1,0x000363414da4f069,0x0007296ad9b68aea,0x0004d3711316ae43,0x000212cd0c1c8d58},{0x0004d5107f18c781,0x00064a4fd3a51a5e,0x0004f4cd0448bb37,0x000671d38543151e,0x0001db7778911914}},
{{0x000352397c6bc26f,0x00018a7aa0227bbe,0x0005e68cc1ea5f8b,0x0006fe3e3a7a1d5f,0x00031ad97ad26e2a},{0x00014769dd701ab6,0x00028339f1b4b667,0x0004ab214b8ae37b,0x00025f0aefa0b0fe,0x0007ae2ca8a017d2},{0x000017ed0920b962,0x000187e33b53b6fd,0x00055829907a1463,0x000641f248e0a792,0x0001ed1fc53a6622}}
};

View File

@@ -0,0 +1,435 @@
#if defined(ED25519_GCC_64BIT_32BIT_CHOOSE)
#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS
DONNA_NOINLINE static void
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
int64_t breg = (int64_t)b;
uint64_t sign = (uint64_t)breg >> 63;
uint64_t mask = ~(sign - 1);
uint64_t u = (breg + mask) ^ mask;
__asm__ __volatile__ (
/* ysubx+xaddy+t2d */
"movq %0, %%rax ;\n"
"movd %%rax, %%xmm14 ;\n"
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
"pxor %%xmm0, %%xmm0 ;\n"
"pxor %%xmm1, %%xmm1 ;\n"
"pxor %%xmm2, %%xmm2 ;\n"
"pxor %%xmm3, %%xmm3 ;\n"
"pxor %%xmm4, %%xmm4 ;\n"
"pxor %%xmm5, %%xmm5 ;\n"
/* 0 */
"movq $0, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movq $1, %%rax ;\n"
"movd %%rax, %%xmm6 ;\n"
"pxor %%xmm7, %%xmm7 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm6, %%xmm2 ;\n"
"por %%xmm7, %%xmm3 ;\n"
/* 1 */
"movq $1, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 0(%1), %%xmm6 ;\n"
"movdqa 16(%1), %%xmm7 ;\n"
"movdqa 32(%1), %%xmm8 ;\n"
"movdqa 48(%1), %%xmm9 ;\n"
"movdqa 64(%1), %%xmm10 ;\n"
"movdqa 80(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 2 */
"movq $2, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 96(%1), %%xmm6 ;\n"
"movdqa 112(%1), %%xmm7 ;\n"
"movdqa 128(%1), %%xmm8 ;\n"
"movdqa 144(%1), %%xmm9 ;\n"
"movdqa 160(%1), %%xmm10 ;\n"
"movdqa 176(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 3 */
"movq $3, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 192(%1), %%xmm6 ;\n"
"movdqa 208(%1), %%xmm7 ;\n"
"movdqa 224(%1), %%xmm8 ;\n"
"movdqa 240(%1), %%xmm9 ;\n"
"movdqa 256(%1), %%xmm10 ;\n"
"movdqa 272(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 4 */
"movq $4, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 288(%1), %%xmm6 ;\n"
"movdqa 304(%1), %%xmm7 ;\n"
"movdqa 320(%1), %%xmm8 ;\n"
"movdqa 336(%1), %%xmm9 ;\n"
"movdqa 352(%1), %%xmm10 ;\n"
"movdqa 368(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 5 */
"movq $5, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 384(%1), %%xmm6 ;\n"
"movdqa 400(%1), %%xmm7 ;\n"
"movdqa 416(%1), %%xmm8 ;\n"
"movdqa 432(%1), %%xmm9 ;\n"
"movdqa 448(%1), %%xmm10 ;\n"
"movdqa 464(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 6 */
"movq $6, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 480(%1), %%xmm6 ;\n"
"movdqa 496(%1), %%xmm7 ;\n"
"movdqa 512(%1), %%xmm8 ;\n"
"movdqa 528(%1), %%xmm9 ;\n"
"movdqa 544(%1), %%xmm10 ;\n"
"movdqa 560(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 7 */
"movq $7, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 576(%1), %%xmm6 ;\n"
"movdqa 592(%1), %%xmm7 ;\n"
"movdqa 608(%1), %%xmm8 ;\n"
"movdqa 624(%1), %%xmm9 ;\n"
"movdqa 640(%1), %%xmm10 ;\n"
"movdqa 656(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* 8 */
"movq $8, %%rax ;\n"
"movd %%rax, %%xmm15 ;\n"
"pshufd $0x00, %%xmm15, %%xmm15 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa 672(%1), %%xmm6 ;\n"
"movdqa 688(%1), %%xmm7 ;\n"
"movdqa 704(%1), %%xmm8 ;\n"
"movdqa 720(%1), %%xmm9 ;\n"
"movdqa 736(%1), %%xmm10 ;\n"
"movdqa 752(%1), %%xmm11 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pand %%xmm15, %%xmm8 ;\n"
"pand %%xmm15, %%xmm9 ;\n"
"pand %%xmm15, %%xmm10 ;\n"
"pand %%xmm15, %%xmm11 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm8, %%xmm2 ;\n"
"por %%xmm9, %%xmm3 ;\n"
"por %%xmm10, %%xmm4 ;\n"
"por %%xmm11, %%xmm5 ;\n"
/* conditionally swap ysubx and xaddy */
"movq %3, %%rax ;\n"
"xorq $1, %%rax ;\n"
"movd %%rax, %%xmm14 ;\n"
"pxor %%xmm15, %%xmm15 ;\n"
"pshufd $0x00, %%xmm14, %%xmm14 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
"pcmpeqd %%xmm14, %%xmm15 ;\n"
"movdqa %%xmm2, %%xmm6 ;\n"
"movdqa %%xmm3, %%xmm7 ;\n"
"pand %%xmm15, %%xmm6 ;\n"
"pand %%xmm15, %%xmm7 ;\n"
"pxor %%xmm6, %%xmm0 ;\n"
"pxor %%xmm7, %%xmm1 ;\n"
"pxor %%xmm0, %%xmm2 ;\n"
"pxor %%xmm1, %%xmm3 ;\n"
/* store ysubx */
"xorq %%rax, %%rax ;\n"
"movd %%xmm0, %%rcx ;\n"
"movd %%xmm0, %%r8 ;\n"
"movd %%xmm1, %%rsi ;\n"
"pshufd $0xee, %%xmm0, %%xmm0 ;\n"
"pshufd $0xee, %%xmm1, %%xmm1 ;\n"
"movd %%xmm0, %%rdx ;\n"
"movd %%xmm1, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movl %%ecx, 0(%2) ;\n"
"movl %%r9d, 4(%2) ;\n"
"movl %%r8d, 8(%2) ;\n"
"movl %%r10d, 12(%2) ;\n"
"movl %%edx, 16(%2) ;\n"
"movl %%r11d, 20(%2) ;\n"
"movl %%esi, 24(%2) ;\n"
"movl %%r12d, 28(%2) ;\n"
"movl %%edi, 32(%2) ;\n"
"movl %%r13d, 36(%2) ;\n"
/* store xaddy */
"movd %%xmm2, %%rcx ;\n"
"movd %%xmm2, %%r8 ;\n"
"movd %%xmm3, %%rsi ;\n"
"pshufd $0xee, %%xmm2, %%xmm2 ;\n"
"pshufd $0xee, %%xmm3, %%xmm3 ;\n"
"movd %%xmm2, %%rdx ;\n"
"movd %%xmm3, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movl %%ecx, 40(%2) ;\n"
"movl %%r9d, 44(%2) ;\n"
"movl %%r8d, 48(%2) ;\n"
"movl %%r10d, 52(%2) ;\n"
"movl %%edx, 56(%2) ;\n"
"movl %%r11d, 60(%2) ;\n"
"movl %%esi, 64(%2) ;\n"
"movl %%r12d, 68(%2) ;\n"
"movl %%edi, 72(%2) ;\n"
"movl %%r13d, 76(%2) ;\n"
/* extract t2d */
"xorq %%rax, %%rax ;\n"
"movd %%xmm4, %%rcx ;\n"
"movd %%xmm4, %%r8 ;\n"
"movd %%xmm5, %%rsi ;\n"
"pshufd $0xee, %%xmm4, %%xmm4 ;\n"
"pshufd $0xee, %%xmm5, %%xmm5 ;\n"
"movd %%xmm4, %%rdx ;\n"
"movd %%xmm5, %%rdi ;\n"
"shrdq $51, %%rdx, %%r8 ;\n"
"shrdq $38, %%rsi, %%rdx ;\n"
"shrdq $25, %%rdi, %%rsi ;\n"
"shrq $12, %%rdi ;\n"
"movq %%rcx, %%r9 ;\n"
"movq %%r8, %%r10 ;\n"
"movq %%rdx, %%r11 ;\n"
"movq %%rsi, %%r12 ;\n"
"movq %%rdi, %%r13 ;\n"
"shrq $26, %%r9 ;\n"
"shrq $26, %%r10 ;\n"
"shrq $26, %%r11 ;\n"
"shrq $26, %%r12 ;\n"
"shrq $26, %%r13 ;\n"
"andl $0x3ffffff, %%ecx ;\n"
"andl $0x1ffffff, %%r9d ;\n"
"andl $0x3ffffff, %%r8d ;\n"
"andl $0x1ffffff, %%r10d ;\n"
"andl $0x3ffffff, %%edx ;\n"
"andl $0x1ffffff, %%r11d ;\n"
"andl $0x3ffffff, %%esi ;\n"
"andl $0x1ffffff, %%r12d ;\n"
"andl $0x3ffffff, %%edi ;\n"
"andl $0x1ffffff, %%r13d ;\n"
"movd %%ecx, %%xmm0 ;\n"
"movd %%r9d, %%xmm4 ;\n"
"movd %%r8d, %%xmm8 ;\n"
"movd %%r10d, %%xmm3 ;\n"
"movd %%edx, %%xmm1 ;\n"
"movd %%r11d, %%xmm5 ;\n"
"movd %%esi, %%xmm6 ;\n"
"movd %%r12d, %%xmm7 ;\n"
"movd %%edi, %%xmm2 ;\n"
"movd %%r13d, %%xmm9 ;\n"
"punpckldq %%xmm4, %%xmm0 ;\n"
"punpckldq %%xmm3, %%xmm8 ;\n"
"punpckldq %%xmm5, %%xmm1 ;\n"
"punpckldq %%xmm7, %%xmm6 ;\n"
"punpckldq %%xmm9, %%xmm2 ;\n"
"punpcklqdq %%xmm8, %%xmm0 ;\n"
"punpcklqdq %%xmm6, %%xmm1 ;\n"
/* set up 2p in to 3/4 */
"movl $0x7ffffda, %%ecx ;\n"
"movl $0x3fffffe, %%edx ;\n"
"movl $0x7fffffe, %%eax ;\n"
"movd %%ecx, %%xmm3 ;\n"
"movd %%edx, %%xmm5 ;\n"
"movd %%eax, %%xmm4 ;\n"
"punpckldq %%xmm5, %%xmm3 ;\n"
"punpckldq %%xmm5, %%xmm4 ;\n"
"punpcklqdq %%xmm4, %%xmm3 ;\n"
"movdqa %%xmm4, %%xmm5 ;\n"
"punpcklqdq %%xmm4, %%xmm4 ;\n"
/* subtract and conditionally move */
"movl %3, %%ecx ;\n"
"sub $1, %%ecx ;\n"
"movd %%ecx, %%xmm6 ;\n"
"pshufd $0x00, %%xmm6, %%xmm6 ;\n"
"movdqa %%xmm6, %%xmm7 ;\n"
"psubd %%xmm0, %%xmm3 ;\n"
"psubd %%xmm1, %%xmm4 ;\n"
"psubd %%xmm2, %%xmm5 ;\n"
"pand %%xmm6, %%xmm0 ;\n"
"pand %%xmm6, %%xmm1 ;\n"
"pand %%xmm6, %%xmm2 ;\n"
"pandn %%xmm3, %%xmm6 ;\n"
"movdqa %%xmm7, %%xmm3 ;\n"
"pandn %%xmm4, %%xmm7 ;\n"
"pandn %%xmm5, %%xmm3 ;\n"
"por %%xmm6, %%xmm0 ;\n"
"por %%xmm7, %%xmm1 ;\n"
"por %%xmm3, %%xmm2 ;\n"
/* store t2d */
"movdqa %%xmm0, 80(%2) ;\n"
"movdqa %%xmm1, 96(%2) ;\n"
"movd %%xmm2, %%rax ;\n"
"movq %%rax, 112(%2) ;\n"
:
: "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */
:
"%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13",
"%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14",
"cc", "memory"
);
}
#endif /* defined(ED25519_GCC_64BIT_32BIT_CHOOSE) */

View File

@@ -0,0 +1,357 @@
#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

@@ -0,0 +1,259 @@
/* multiples of the base point in packed {ysubx, xaddy, t2d} form */
static const uint8_t ALIGN(16) ge25519_niels_base_multiples[256][96] = {
{0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f},
{0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49},
{0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54},
{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

@@ -0,0 +1,275 @@
/*
Ed25519 batch verification
*/
#define max_batch_size 64
#define heap_batch_size ((max_batch_size * 2) + 1)
/* which limb is the 128th bit in? */
static const size_t limb128bits = (128 + bignum256modm_bits_per_limb - 1) / bignum256modm_bits_per_limb;
typedef size_t heap_index_t;
typedef struct batch_heap_t {
unsigned char r[heap_batch_size][16]; /* 128 bit random values */
ge25519 points[heap_batch_size];
bignum256modm scalars[heap_batch_size];
heap_index_t heap[heap_batch_size];
size_t size;
} batch_heap;
/* swap two values in the heap */
static void
heap_swap(heap_index_t *heap, size_t a, size_t b) {
heap_index_t temp;
temp = heap[a];
heap[a] = heap[b];
heap[b] = temp;
}
/* add the scalar at the end of the list to the heap */
static void
heap_insert_next(batch_heap *heap) {
size_t node = heap->size, parent;
heap_index_t *pheap = heap->heap;
bignum256modm *scalars = heap->scalars;
/* insert at the bottom */
pheap[node] = (heap_index_t)node;
/* sift node up to its sorted spot */
parent = (node - 1) / 2;
while (node && lt256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], bignum256modm_limb_size - 1)) {
heap_swap(pheap, parent, node);
node = parent;
parent = (node - 1) / 2;
}
heap->size++;
}
/* update the heap when the root element is updated */
static void
heap_updated_root(batch_heap *heap, size_t limbsize) {
size_t node, parent, childr, childl;
heap_index_t *pheap = heap->heap;
bignum256modm *scalars = heap->scalars;
/* sift root to the bottom */
parent = 0;
node = 1;
childl = 1;
childr = 2;
while ((childr < heap->size)) {
node = lt256_modm_batch(scalars[pheap[childl]], scalars[pheap[childr]], limbsize) ? childr : childl;
heap_swap(pheap, parent, node);
parent = node;
childl = (parent * 2) + 1;
childr = childl + 1;
}
/* sift root back up to its sorted spot */
parent = (node - 1) / 2;
while (node && lte256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], limbsize)) {
heap_swap(pheap, parent, node);
node = parent;
parent = (node - 1) / 2;
}
}
/* build the heap with count elements, count must be >= 3 */
static void
heap_build(batch_heap *heap, size_t count) {
heap->heap[0] = 0;
heap->size = 0;
while (heap->size < count)
heap_insert_next(heap);
}
/* extend the heap to contain new_count elements */
static void
heap_extend(batch_heap *heap, size_t new_count) {
while (heap->size < new_count)
heap_insert_next(heap);
}
/* get the top 2 elements of the heap */
static void
heap_get_top2(batch_heap *heap, heap_index_t *max1, heap_index_t *max2, size_t limbsize) {
heap_index_t h0 = heap->heap[0], h1 = heap->heap[1], h2 = heap->heap[2];
if (lt256_modm_batch(heap->scalars[h1], heap->scalars[h2], limbsize))
h1 = h2;
*max1 = h0;
*max2 = h1;
}
/* */
static void
ge25519_multi_scalarmult_vartime_final(ge25519 *r, ge25519 *point, bignum256modm scalar) {
const bignum256modm_element_t topbit = ((bignum256modm_element_t)1 << (bignum256modm_bits_per_limb - 1));
size_t limb = limb128bits;
bignum256modm_element_t flag;
if (isone256_modm_batch(scalar)) {
/* this will happen most of the time after bos-carter */
*r = *point;
return;
} else if (iszero256_modm_batch(scalar)) {
/* this will only happen if all scalars == 0 */
memset(r, 0, sizeof(*r));
r->y[0] = 1;
r->z[0] = 1;
return;
}
*r = *point;
/* find the limb where first bit is set */
while (!scalar[limb])
limb--;
/* find the first bit */
flag = topbit;
while ((scalar[limb] & flag) == 0)
flag >>= 1;
/* exponentiate */
for (;;) {
ge25519_double(r, r);
if (scalar[limb] & flag)
ge25519_add(r, r, point);
flag >>= 1;
if (!flag) {
if (!limb--)
break;
flag = topbit;
}
}
}
/* count must be >= 5 */
static void
ge25519_multi_scalarmult_vartime(ge25519 *r, batch_heap *heap, size_t count) {
heap_index_t max1, max2;
/* start with the full limb size */
size_t limbsize = bignum256modm_limb_size - 1;
/* whether the heap has been extended to include the 128 bit scalars */
int extended = 0;
/* grab an odd number of scalars to build the heap, unknown limb sizes */
heap_build(heap, ((count + 1) / 2) | 1);
for (;;) {
heap_get_top2(heap, &max1, &max2, limbsize);
/* only one scalar remaining, we're done */
if (iszero256_modm_batch(heap->scalars[max2]))
break;
/* exhausted another limb? */
if (!heap->scalars[max1][limbsize])
limbsize -= 1;
/* can we extend to the 128 bit scalars? */
if (!extended && isatmost128bits256_modm_batch(heap->scalars[max1])) {
heap_extend(heap, count);
heap_get_top2(heap, &max1, &max2, limbsize);
extended = 1;
}
sub256_modm_batch(heap->scalars[max1], heap->scalars[max1], heap->scalars[max2], limbsize);
ge25519_add(&heap->points[max2], &heap->points[max2], &heap->points[max1]);
heap_updated_root(heap, limbsize);
}
ge25519_multi_scalarmult_vartime_final(r, &heap->points[max1], heap->scalars[max1]);
}
/* not actually used for anything other than testing */
unsigned char batch_point_buffer[3][32];
static int
ge25519_is_neutral_vartime(const ge25519 *p) {
static const unsigned char zero[32] = {0};
unsigned char point_buffer[3][32];
curve25519_contract(point_buffer[0], p->x);
curve25519_contract(point_buffer[1], p->y);
curve25519_contract(point_buffer[2], p->z);
memcpy(batch_point_buffer[1], point_buffer[1], 32);
return (memcmp(point_buffer[0], zero, 32) == 0) && (memcmp(point_buffer[1], point_buffer[2], 32) == 0);
}
int
ED25519_FN(ed25519_sign_open_batch) (const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid) {
batch_heap ALIGN(16) batch;
ge25519 ALIGN(16) p;
bignum256modm *r_scalars;
size_t i, batchsize;
unsigned char hram[64];
int ret = 0;
for (i = 0; i < num; i++)
valid[i] = 1;
while (num > 3) {
batchsize = (num > max_batch_size) ? max_batch_size : num;
/* generate r (scalars[batchsize+1]..scalars[2*batchsize] */
ED25519_FN(ed25519_randombytes_unsafe) (batch.r, batchsize * 16);
r_scalars = &batch.scalars[batchsize + 1];
for (i = 0; i < batchsize; i++)
expand256_modm(r_scalars[i], batch.r[i], 16);
/* compute scalars[0] = ((r1s1 + r2s2 + ...)) */
for (i = 0; i < batchsize; i++) {
expand256_modm(batch.scalars[i], RS[i] + 32, 32);
mul256_modm(batch.scalars[i], batch.scalars[i], r_scalars[i]);
}
for (i = 1; i < batchsize; i++)
add256_modm(batch.scalars[0], batch.scalars[0], batch.scalars[i]);
/* compute scalars[1]..scalars[batchsize] as r[i]*H(R[i],A[i],m[i]) */
for (i = 0; i < batchsize; i++) {
ed25519_hram(hram, RS[i], pk[i], m[i], mlen[i]);
expand256_modm(batch.scalars[i+1], hram, 64);
mul256_modm(batch.scalars[i+1], batch.scalars[i+1], r_scalars[i]);
}
/* compute points */
batch.points[0] = ge25519_basepoint;
for (i = 0; i < batchsize; i++)
if (!ge25519_unpack_negative_vartime(&batch.points[i+1], pk[i]))
goto fallback;
for (i = 0; i < batchsize; i++)
if (!ge25519_unpack_negative_vartime(&batch.points[batchsize+i+1], RS[i]))
goto fallback;
ge25519_multi_scalarmult_vartime(&p, &batch, (batchsize * 2) + 1);
if (!ge25519_is_neutral_vartime(&p)) {
ret |= 2;
fallback:
for (i = 0; i < batchsize; i++) {
valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
ret |= (valid[i] ^ 1);
}
}
m += batchsize;
mlen += batchsize;
pk += batchsize;
RS += batchsize;
num -= batchsize;
valid += batchsize;
}
for (i = 0; i < num; i++) {
valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1;
ret |= (valid[i] ^ 1);
}
return ret;
}

View File

@@ -0,0 +1,364 @@
/*
conversions
*/
DONNA_INLINE static void
ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) {
curve25519_mul(r->x, p->x, p->t);
curve25519_mul(r->y, p->y, p->z);
curve25519_mul(r->z, p->z, p->t);
}
DONNA_INLINE static void
ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) {
curve25519_mul(r->x, p->x, p->t);
curve25519_mul(r->y, p->y, p->z);
curve25519_mul(r->z, p->z, p->t);
curve25519_mul(r->t, p->x, p->y);
}
static void
ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) {
curve25519_sub(p->ysubx, r->y, r->x);
curve25519_add(p->xaddy, r->y, r->x);
curve25519_copy(p->z, r->z);
curve25519_mul(p->t2d, r->t, ge25519_ec2d);
}
/*
adding & doubling
*/
static void
ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) {
bignum25519 a,b,c,d,t,u;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_sub(t, q->y, q->x);
curve25519_add(u, q->y, q->x);
curve25519_mul(a, a, t);
curve25519_mul(b, b, u);
curve25519_mul(c, p->t, q->t);
curve25519_mul(c, c, ge25519_ec2d);
curve25519_mul(d, p->z, q->z);
curve25519_add(d, d, d);
curve25519_sub(r->x, b, a);
curve25519_add(r->y, b, a);
curve25519_add_after_basic(r->z, d, c);
curve25519_sub_after_basic(r->t, d, c);
}
static void
ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) {
bignum25519 a,b,c;
curve25519_square(a, p->x);
curve25519_square(b, p->y);
curve25519_square(c, p->z);
curve25519_add_reduce(c, c, c);
curve25519_add(r->x, p->x, p->y);
curve25519_square(r->x, r->x);
curve25519_add(r->y, b, a);
curve25519_sub(r->z, b, a);
curve25519_sub_after_basic(r->x, r->x, r->y);
curve25519_sub_after_basic(r->t, c, r->z);
}
static void
ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) {
const bignum25519 *qb = (const bignum25519 *)q;
bignum25519 *rb = (bignum25519 *)r;
bignum25519 a,b,c;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */
curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */
curve25519_add(r->y, r->x, a);
curve25519_sub(r->x, r->x, a);
curve25519_mul(c, p->t, q->t2d);
curve25519_add_reduce(r->t, p->z, p->z);
curve25519_copy(r->z, r->t);
curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
}
static void
ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) {
const bignum25519 *qb = (const bignum25519 *)q;
bignum25519 *rb = (bignum25519 *)r;
bignum25519 a,b,c;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */
curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */
curve25519_add(r->y, r->x, a);
curve25519_sub(r->x, r->x, a);
curve25519_mul(c, p->t, q->t2d);
curve25519_mul(r->t, p->z, q->z);
curve25519_add_reduce(r->t, r->t, r->t);
curve25519_copy(r->z, r->t);
curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */
curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */
}
static void
ge25519_double_partial(ge25519 *r, const ge25519 *p) {
ge25519_p1p1 t;
ge25519_double_p1p1(&t, p);
ge25519_p1p1_to_partial(r, &t);
}
static void
ge25519_double(ge25519 *r, const ge25519 *p) {
ge25519_p1p1 t;
ge25519_double_p1p1(&t, p);
ge25519_p1p1_to_full(r, &t);
}
static void
ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) {
ge25519_p1p1 t;
ge25519_add_p1p1(&t, p, q);
ge25519_p1p1_to_full(r, &t);
}
static void
ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) {
bignum25519 a,b,c,e,f,g,h;
curve25519_sub(a, r->y, r->x);
curve25519_add(b, r->y, r->x);
curve25519_mul(a, a, q->ysubx);
curve25519_mul(e, b, q->xaddy);
curve25519_add(h, e, a);
curve25519_sub(e, e, a);
curve25519_mul(c, r->t, q->t2d);
curve25519_add(f, r->z, r->z);
curve25519_add_after_basic(g, f, c);
curve25519_sub_after_basic(f, f, c);
curve25519_mul(r->x, e, f);
curve25519_mul(r->y, h, g);
curve25519_mul(r->z, g, f);
curve25519_mul(r->t, e, h);
}
static void
ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) {
bignum25519 a,b,c,x,y,z,t;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_mul(a, a, q->ysubx);
curve25519_mul(x, b, q->xaddy);
curve25519_add(y, x, a);
curve25519_sub(x, x, a);
curve25519_mul(c, p->t, q->t2d);
curve25519_mul(t, p->z, q->z);
curve25519_add(t, t, t);
curve25519_add_after_basic(z, t, c);
curve25519_sub_after_basic(t, t, c);
curve25519_mul(r->xaddy, x, t);
curve25519_mul(r->ysubx, y, z);
curve25519_mul(r->z, z, t);
curve25519_mul(r->t2d, x, y);
curve25519_copy(y, r->ysubx);
curve25519_sub(r->ysubx, r->ysubx, r->xaddy);
curve25519_add(r->xaddy, r->xaddy, y);
curve25519_mul(r->t2d, r->t2d, ge25519_ec2d);
}
/*
pack & unpack
*/
static void
ge25519_pack(unsigned char r[32], const ge25519 *p) {
bignum25519 tx, ty, zi;
unsigned char parity[32];
curve25519_recip(zi, p->z);
curve25519_mul(tx, p->x, zi);
curve25519_mul(ty, p->y, zi);
curve25519_contract(r, ty);
curve25519_contract(parity, tx);
r[31] ^= ((parity[0] & 1) << 7);
}
static int
ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) {
static const unsigned char zero[32] = {0};
static const bignum25519 one = {1};
unsigned char parity = p[31] >> 7;
unsigned char check[32];
bignum25519 t, root, num, den, d3;
curve25519_expand(r->y, p);
curve25519_copy(r->z, one);
curve25519_square(num, r->y); /* x = y^2 */
curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */
curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */
curve25519_add(den, den, r->z); /* den = dy^2 + 1 */
/* Computation of sqrt(num/den) */
/* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
curve25519_square(t, den);
curve25519_mul(d3, t, den);
curve25519_square(r->x, d3);
curve25519_mul(r->x, r->x, den);
curve25519_mul(r->x, r->x, num);
curve25519_pow_two252m3(r->x, r->x);
/* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */
curve25519_mul(r->x, r->x, d3);
curve25519_mul(r->x, r->x, num);
/* 3. Check if either of the roots works: */
curve25519_square(t, r->x);
curve25519_mul(t, t, den);
curve25519_sub_reduce(root, t, num);
curve25519_contract(check, root);
if (!ed25519_verify(check, zero, 32)) {
curve25519_add_reduce(t, t, num);
curve25519_contract(check, t);
if (!ed25519_verify(check, zero, 32))
return 0;
curve25519_mul(r->x, r->x, ge25519_sqrtneg1);
}
curve25519_contract(check, r->x);
if ((check[0] & 1) == parity) {
curve25519_copy(t, r->x);
curve25519_neg(r->x, t);
}
curve25519_mul(r->t, r->x, r->y);
return 1;
}
/*
scalarmults
*/
#define S1_SWINDOWSIZE 5
#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2))
#define S2_SWINDOWSIZE 7
#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2))
/* computes [s1]p1 + [s2]basepoint */
static void
ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) {
signed char slide1[256], slide2[256];
ge25519_pniels pre1[S1_TABLE_SIZE];
ge25519 d1;
ge25519_p1p1 t;
int32_t i;
contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE);
contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE);
ge25519_double(&d1, p1);
ge25519_full_to_pniels(pre1, p1);
for (i = 0; i < S1_TABLE_SIZE - 1; i++)
ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]);
/* set neutral */
memset(r, 0, sizeof(ge25519));
r->y[0] = 1;
r->z[0] = 1;
i = 255;
while ((i >= 0) && !(slide1[i] | slide2[i]))
i--;
for (; i >= 0; i--) {
ge25519_double_p1p1(&t, r);
if (slide1[i]) {
ge25519_p1p1_to_full(r, &t);
ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7);
}
if (slide2[i]) {
ge25519_p1p1_to_full(r, &t);
ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7);
}
ge25519_p1p1_to_partial(r, &t);
}
}
#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS)
static uint32_t
ge25519_windowb_equal(uint32_t b, uint32_t c) {
return ((b ^ c) - 1) >> 31;
}
static void
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
bignum25519 neg;
uint32_t sign = (uint32_t)((unsigned char)b >> 7);
uint32_t mask = ~(sign - 1);
uint32_t u = (b + mask) ^ mask;
uint32_t i;
/* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */
uint8_t packed[96] = {0};
packed[0] = 1;
packed[32] = 1;
for (i = 0; i < 8; i++)
curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1));
/* expand in to t */
curve25519_expand(t->ysubx, packed + 0);
curve25519_expand(t->xaddy, packed + 32);
curve25519_expand(t->t2d , packed + 64);
/* adjust for sign */
curve25519_swap_conditional(t->ysubx, t->xaddy, sign);
curve25519_neg(neg, t->t2d);
curve25519_swap_conditional(t->t2d, neg, sign);
}
#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */
/* computes [s]basepoint */
static void
ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) {
signed char b[64];
uint32_t i;
ge25519_niels t;
contract256_window4_modm(b, s);
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]);
curve25519_sub_reduce(r->x, t.xaddy, t.ysubx);
curve25519_add_reduce(r->y, t.xaddy, t.ysubx);
memset(r->z, 0, sizeof(bignum25519));
curve25519_copy(r->t, t.t2d);
r->z[0] = 2;
for (i = 3; i < 64; i += 2) {
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
ge25519_nielsadd2(r, &t);
}
ge25519_double_partial(r, r);
ge25519_double_partial(r, r);
ge25519_double_partial(r, r);
ge25519_double(r, r);
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]);
curve25519_mul(t.t2d, t.t2d, ge25519_ecd);
ge25519_nielsadd2(r, &t);
for(i = 2; i < 64; i += 2) {
ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]);
ge25519_nielsadd2(r, &t);
}
}

View File

@@ -0,0 +1,390 @@
/*
conversions
*/
static void
ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) {
packed64bignum25519 ALIGN(16) xz, tt, xzout;
curve25519_mul(r->y, p->y, p->z);
curve25519_tangle64(xz, p->x, p->z);
curve25519_tangleone64(tt, p->t);
curve25519_mul_packed64(xzout, xz, tt);
curve25519_untangle64(r->x, r->z, xzout);
}
static void
ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) {
packed64bignum25519 ALIGN(16) zy, xt, xx, zz, ty;
curve25519_tangle64(ty, p->t, p->y);
curve25519_tangleone64(xx, p->x);
curve25519_mul_packed64(xt, xx, ty);
curve25519_untangle64(r->x, r->t, xt);
curve25519_tangleone64(zz, p->z);
curve25519_mul_packed64(zy, zz, ty);
curve25519_untangle64(r->z, r->y, zy);
}
static void
ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) {
curve25519_sub(p->ysubx, r->y, r->x);
curve25519_add(p->xaddy, r->x, r->y);
curve25519_copy(p->z, r->z);
curve25519_mul(p->t2d, r->t, ge25519_ec2d);
}
/*
adding & doubling
*/
static void
ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) {
bignum25519 ALIGN(16) a,b,c,d;
packed32bignum25519 ALIGN(16) xx, yy, yypxx, yymxx, bd, ac, bdmac, bdpac;
packed64bignum25519 ALIGN(16) at, bu, atbu, ptz, qtz, cd;
curve25519_tangle32(yy, p->y, q->y);
curve25519_tangle32(xx, p->x, q->x);
curve25519_add_packed32(yypxx, yy, xx);
curve25519_sub_packed32(yymxx, yy, xx);
curve25519_tangle64_from32(at, bu, yymxx, yypxx);
curve25519_mul_packed64(atbu, at, bu);
curve25519_untangle64(a, b, atbu);
curve25519_tangle64(ptz, p->t, p->z);
curve25519_tangle64(qtz, q->t, q->z);
curve25519_mul_packed64(cd, ptz, qtz);
curve25519_untangle64(c, d, cd);
curve25519_mul(c, c, ge25519_ec2d);
curve25519_add_reduce(d, d, d);
/* reduce, so no after_basic is needed later */
curve25519_tangle32(bd, b, d);
curve25519_tangle32(ac, a, c);
curve25519_sub_packed32(bdmac, bd, ac);
curve25519_add_packed32(bdpac, bd, ac);
curve25519_untangle32(r->x, r->t, bdmac);
curve25519_untangle32(r->y, r->z, bdpac);
}
static void
ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) {
bignum25519 ALIGN(16) a,b,c,x;
packed64bignum25519 ALIGN(16) xy, zx, ab, cx;
packed32bignum25519 ALIGN(16) xc, yz, xt, yc, ac, bc;
curve25519_add(x, p->x, p->y);
curve25519_tangle64(xy, p->x, p->y);
curve25519_square_packed64(ab, xy);
curve25519_untangle64(a, b, ab);
curve25519_tangle64(zx, p->z, x);
curve25519_square_packed64(cx, zx);
curve25519_untangle64(c, x, cx);
curve25519_tangle32(bc, b, c);
curve25519_tangle32(ac, a, c);
curve25519_add_reduce_packed32(yc, bc, ac);
curve25519_untangle32(r->y, c, yc);
curve25519_sub(r->z, b, a);
curve25519_tangle32(yz, r->y, r->z);
curve25519_tangle32(xc, x, c);
curve25519_sub_after_basic_packed32(xt, xc, yz);
curve25519_untangle32(r->x, r->t, xt);
}
static void
ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) {
const bignum25519 *qb = (const bignum25519 *)q;
bignum25519 *rb = (bignum25519 *)r;
bignum25519 ALIGN(16) a,b,c;
packed64bignum25519 ALIGN(16) ab, yx, aybx;
packed32bignum25519 ALIGN(16) bd, ac, bdac;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_tangle64(ab, a, b);
curve25519_tangle64(yx, qb[signbit], qb[signbit^1]);
curve25519_mul_packed64(aybx, ab, yx);
curve25519_untangle64(a, b, aybx);
curve25519_add(r->y, b, a);
curve25519_add_reduce(r->t, p->z, p->z);
curve25519_mul(c, p->t, q->t2d);
curve25519_copy(r->z, r->t);
curve25519_add(rb[2+signbit], rb[2+signbit], c);
curve25519_tangle32(bd, b, rb[2+(signbit^1)]);
curve25519_tangle32(ac, a, c);
curve25519_sub_packed32(bdac, bd, ac);
curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac);
}
static void
ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) {
const bignum25519 *qb = (const bignum25519 *)q;
bignum25519 *rb = (bignum25519 *)r;
bignum25519 ALIGN(16) a,b,c;
packed64bignum25519 ALIGN(16) ab, yx, aybx, zt, zt2d, tc;
packed32bignum25519 ALIGN(16) bd, ac, bdac;
curve25519_sub(a, p->y, p->x);
curve25519_add(b, p->y, p->x);
curve25519_tangle64(ab, a, b);
curve25519_tangle64(yx, qb[signbit], qb[signbit^1]);
curve25519_mul_packed64(aybx, ab, yx);
curve25519_untangle64(a, b, aybx);
curve25519_add(r->y, b, a);
curve25519_tangle64(zt, p->z, p->t);
curve25519_tangle64(zt2d, q->z, q->t2d);
curve25519_mul_packed64(tc, zt, zt2d);
curve25519_untangle64(r->t, c, tc);
curve25519_add_reduce(r->t, r->t, r->t);
curve25519_copy(r->z, r->t);
curve25519_add(rb[2+signbit], rb[2+signbit], c);
curve25519_tangle32(bd, b, rb[2+(signbit^1)]);
curve25519_tangle32(ac, a, c);
curve25519_sub_packed32(bdac, bd, ac);
curve25519_untangle32(r->x, rb[2+(signbit^1)], bdac);
}
static void
ge25519_double(ge25519 *r, const ge25519 *p) {
ge25519_p1p1 ALIGN(16) t;
ge25519_double_p1p1(&t, p);
ge25519_p1p1_to_full(r, &t);
}
static void
ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) {
ge25519_p1p1 ALIGN(16) t;
ge25519_add_p1p1(&t, p, q);
ge25519_p1p1_to_full(r, &t);
}
static void
ge25519_double_partial(ge25519 *r, const ge25519 *p) {
ge25519_p1p1 ALIGN(16) t;
ge25519_double_p1p1(&t, p);
ge25519_p1p1_to_partial(r, &t);
}
static void
ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) {
packed64bignum25519 ALIGN(16) ab, yx, aybx, eg, ff, hh, xz, ty;
packed32bignum25519 ALIGN(16) bd, ac, bdac;
bignum25519 ALIGN(16) a,b,c,d,e,f,g,h;
curve25519_sub(a, r->y, r->x);
curve25519_add(b, r->y, r->x);
curve25519_tangle64(ab, a, b);
curve25519_tangle64(yx, q->ysubx, q->xaddy);
curve25519_mul_packed64(aybx, ab, yx);
curve25519_untangle64(a, b, aybx);
curve25519_add(h, b, a);
curve25519_add_reduce(d, r->z, r->z);
curve25519_mul(c, r->t, q->t2d);
curve25519_add(g, d, c); /* d is reduced, so no need for after_basic */
curve25519_tangle32(bd, b, d);
curve25519_tangle32(ac, a, c);
curve25519_sub_packed32(bdac, bd, ac); /* d is reduced, so no need for after_basic */
curve25519_untangle32(e, f, bdac);
curve25519_tangle64(eg, e, g);
curve25519_tangleone64(ff, f);
curve25519_mul_packed64(xz, eg, ff);
curve25519_untangle64(r->x, r->z, xz);
curve25519_tangleone64(hh, h);
curve25519_mul_packed64(ty, eg, hh);
curve25519_untangle64(r->t, r->y, ty);
}
static void
ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) {
ge25519_p1p1 ALIGN(16) t;
ge25519 ALIGN(16) f;
ge25519_pnielsadd_p1p1(&t, p, q, 0);
ge25519_p1p1_to_full(&f, &t);
ge25519_full_to_pniels(r, &f);
}
/*
pack & unpack
*/
static void
ge25519_pack(unsigned char r[32], const ge25519 *p) {
bignum25519 ALIGN(16) tx, ty, zi;
unsigned char parity[32];
curve25519_recip(zi, p->z);
curve25519_mul(tx, p->x, zi);
curve25519_mul(ty, p->y, zi);
curve25519_contract(r, ty);
curve25519_contract(parity, tx);
r[31] ^= ((parity[0] & 1) << 7);
}
static int
ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) {
static const bignum25519 ALIGN(16) one = {1};
static const unsigned char zero[32] = {0};
unsigned char parity = p[31] >> 7;
unsigned char check[32];
bignum25519 ALIGN(16) t, root, num, den, d3;
curve25519_expand(r->y, p);
curve25519_copy(r->z, one);
curve25519_square_times(num, r->y, 1); /* x = y^2 */
curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */
curve25519_sub_reduce(num, num, r->z); /* x = y^2 - 1 */
curve25519_add(den, den, r->z); /* den = dy^2 + 1 */
/* Computation of sqrt(num/den) */
/* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
curve25519_square_times(t, den, 1);
curve25519_mul(d3, t, den);
curve25519_square_times(r->x, d3, 1);
curve25519_mul(r->x, r->x, den);
curve25519_mul(r->x, r->x, num);
curve25519_pow_two252m3(r->x, r->x);
/* 2. computation of r->x = t * num * den^3 */
curve25519_mul(r->x, r->x, d3);
curve25519_mul(r->x, r->x, num);
/* 3. Check if either of the roots works: */
curve25519_square_times(t, r->x, 1);
curve25519_mul(t, t, den);
curve25519_copy(root, t);
curve25519_sub_reduce(root, root, num);
curve25519_contract(check, root);
if (!ed25519_verify(check, zero, 32)) {
curve25519_add_reduce(t, t, num);
curve25519_contract(check, t);
if (!ed25519_verify(check, zero, 32))
return 0;
curve25519_mul(r->x, r->x, ge25519_sqrtneg1);
}
curve25519_contract(check, r->x);
if ((check[0] & 1) == parity) {
curve25519_copy(t, r->x);
curve25519_neg(r->x, t);
}
curve25519_mul(r->t, r->x, r->y);
return 1;
}
/*
scalarmults
*/
#define S1_SWINDOWSIZE 5
#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2))
#define S2_SWINDOWSIZE 7
#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2))
static void
ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) {
signed char slide1[256], slide2[256];
ge25519_pniels ALIGN(16) pre1[S1_TABLE_SIZE];
ge25519 ALIGN(16) d1;
ge25519_p1p1 ALIGN(16) t;
int32_t i;
contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE);
contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE);
ge25519_double(&d1, p1);
ge25519_full_to_pniels(pre1, p1);
for (i = 0; i < S1_TABLE_SIZE - 1; i++)
ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]);
/* set neutral */
memset(r, 0, sizeof(ge25519));
r->y[0] = 1;
r->z[0] = 1;
i = 255;
while ((i >= 0) && !(slide1[i] | slide2[i]))
i--;
for (; i >= 0; i--) {
ge25519_double_p1p1(&t, r);
if (slide1[i]) {
ge25519_p1p1_to_full(r, &t);
ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7);
}
if (slide2[i]) {
ge25519_p1p1_to_full(r, &t);
ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7);
}
ge25519_p1p1_to_partial(r, &t);
}
}
#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS)
static uint32_t
ge25519_windowb_equal(uint32_t b, uint32_t c) {
return ((b ^ c) - 1) >> 31;
}
static void
ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) {
bignum25519 ALIGN(16) neg;
uint32_t sign = (uint32_t)((unsigned char)b >> 7);
uint32_t mask = ~(sign - 1);
uint32_t u = (b + mask) ^ mask;
uint32_t i;
/* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */
uint8_t ALIGN(16) packed[96] = {0};
packed[0] = 1;
packed[32] = 1;
for (i = 0; i < 8; i++)
curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1));
/* expand in to t */
curve25519_expand(t->ysubx, packed + 0);
curve25519_expand(t->xaddy, packed + 32);
curve25519_expand(t->t2d , packed + 64);
/* adjust for sign */
curve25519_swap_conditional(t->ysubx, t->xaddy, sign);
curve25519_neg(neg, t->t2d);
curve25519_swap_conditional(t->t2d, neg, sign);
}
#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */
static void
ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t table[256][96], const bignum256modm s) {
signed char b[64];
uint32_t i;
ge25519_niels ALIGN(16) t;
contract256_window4_modm(b, s);
ge25519_scalarmult_base_choose_niels(&t, table, 0, b[1]);
curve25519_sub_reduce(r->x, t.xaddy, t.ysubx);
curve25519_add_reduce(r->y, t.xaddy, t.ysubx);
memset(r->z, 0, sizeof(bignum25519));
r->z[0] = 2;
curve25519_copy(r->t, t.t2d);
for (i = 3; i < 64; i += 2) {
ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]);
ge25519_nielsadd2(r, &t);
}
ge25519_double_partial(r, r);
ge25519_double_partial(r, r);
ge25519_double_partial(r, r);
ge25519_double(r, r);
ge25519_scalarmult_base_choose_niels(&t, table, 0, b[0]);
curve25519_mul(t.t2d, t.t2d, ge25519_ecd);
ge25519_nielsadd2(r, &t);
for(i = 2; i < 64; i += 2) {
ge25519_scalarmult_base_choose_niels(&t, table, i / 2, b[i]);
ge25519_nielsadd2(r, &t);
}
}

View File

@@ -0,0 +1,103 @@
/* os */
#if defined(_WIN32) || defined(_WIN64) || defined(__TOS_WIN__) || defined(__WINDOWS__)
#define OS_WINDOWS
#elif defined(sun) || defined(__sun) || defined(__SVR4) || defined(__svr4__)
#define OS_SOLARIS
#else
#include <sys/param.h> /* need this to define BSD */
#define OS_NIX
#if defined(__linux__)
#define OS_LINUX
#elif defined(BSD)
#define OS_BSD
#if defined(MACOS_X) || (defined(__APPLE__) & defined(__MACH__))
#define OS_OSX
#elif defined(macintosh) || defined(Macintosh)
#define OS_MAC
#elif defined(__OpenBSD__)
#define OS_OPENBSD
#endif
#endif
#endif
/* compiler */
#if defined(_MSC_VER)
#define COMPILER_MSVC
#endif
#if defined(__ICC)
#define COMPILER_INTEL
#endif
#if defined(__GNUC__)
#if (__GNUC__ >= 3)
#define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) + (__GNUC_PATCHLEVEL__))
#else
#define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) )
#endif
#endif
#if defined(__PATHCC__)
#define COMPILER_PATHCC
#endif
#if defined(__clang__)
#define COMPILER_CLANG ((__clang_major__ * 10000) + (__clang_minor__ * 100) + (__clang_patchlevel__))
#endif
/* cpu */
#if defined(__amd64__) || defined(__amd64) || defined(__x86_64__ ) || defined(_M_X64)
#define CPU_X86_64
#elif defined(__i586__) || defined(__i686__) || (defined(_M_IX86) && (_M_IX86 >= 500))
#define CPU_X86 500
#elif defined(__i486__) || (defined(_M_IX86) && (_M_IX86 >= 400))
#define CPU_X86 400
#elif defined(__i386__) || (defined(_M_IX86) && (_M_IX86 >= 300)) || defined(__X86__) || defined(_X86_) || defined(__I86__)
#define CPU_X86 300
#elif defined(__ia64__) || defined(_IA64) || defined(__IA64__) || defined(_M_IA64) || defined(__ia64)
#define CPU_IA64
#endif
#if defined(__sparc__) || defined(__sparc) || defined(__sparcv9)
#define CPU_SPARC
#if defined(__sparcv9)
#define CPU_SPARC64
#endif
#endif
#if defined(powerpc) || defined(__PPC__) || defined(__ppc__) || defined(_ARCH_PPC) || defined(__powerpc__) || defined(__powerpc) || defined(POWERPC) || defined(_M_PPC)
#define CPU_PPC
#if defined(_ARCH_PWR7)
#define CPU_POWER7
#elif defined(__64BIT__)
#define CPU_PPC64
#else
#define CPU_PPC32
#endif
#endif
#if defined(__hppa__) || defined(__hppa)
#define CPU_HPPA
#endif
#if defined(__alpha__) || defined(__alpha) || defined(_M_ALPHA)
#define CPU_ALPHA
#endif
/* 64 bit cpu */
#if defined(CPU_X86_64) || defined(CPU_IA64) || defined(CPU_SPARC64) || defined(__64BIT__) || defined(__LP64__) || defined(_LP64) || (defined(_MIPS_SZLONG) && (_MIPS_SZLONG == 64))
#define CPU_64BITS
#endif
#if defined(COMPILER_MSVC)
typedef signed char int8_t;
typedef unsigned char uint8_t;
typedef signed short int16_t;
typedef unsigned short uint16_t;
typedef signed int int32_t;
typedef unsigned int uint32_t;
typedef signed __int64 int64_t;
typedef unsigned __int64 uint64_t;
#else
#include <stdint.h>
#endif

View File

@@ -0,0 +1,136 @@
#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>

115
external/ed25519-donna/ed25519-donna.h vendored Normal file
View File

@@ -0,0 +1,115 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
Modified from the amd64-51-30k implementation by
Daniel J. Bernstein
Niels Duif
Tanja Lange
Peter Schwabe
Bo-Yin Yang
*/
#include "ed25519-donna-portable.h"
#if defined(ED25519_SSE2)
#else
#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
#define ED25519_64BIT
#else
#define ED25519_32BIT
#endif
#endif
#if !defined(ED25519_NO_INLINE_ASM)
/* detect extra features first so un-needed functions can be disabled throughout */
#if defined(ED25519_SSE2)
#if defined(COMPILER_GCC) && defined(CPU_X86)
#define ED25519_GCC_32BIT_SSE_CHOOSE
#elif defined(COMPILER_GCC) && defined(CPU_X86_64)
#define ED25519_GCC_64BIT_SSE_CHOOSE
#endif
#else
#if defined(CPU_X86_64)
#if defined(COMPILER_GCC)
#if defined(ED25519_64BIT)
#define ED25519_GCC_64BIT_X86_CHOOSE
#else
#define ED25519_GCC_64BIT_32BIT_CHOOSE
#endif
#endif
#endif
#endif
#endif
#if defined(ED25519_SSE2)
#include "curve25519-donna-sse2.h"
#elif defined(ED25519_64BIT)
#include "curve25519-donna-64bit.h"
#else
#include "curve25519-donna-32bit.h"
#endif
#include "curve25519-donna-helpers.h"
/* separate uint128 check for 64 bit sse2 */
#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT)
#include "modm-donna-64bit.h"
#else
#include "modm-donna-32bit.h"
#endif
typedef unsigned char hash_512bits[64];
/*
Timing safe memory compare
*/
static int
ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) {
size_t differentbits = 0;
while (len--)
differentbits |= (*x++ ^ *y++);
return (int) (1 & ((differentbits - 1) >> 8));
}
/*
* Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2
* with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
* Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
*/
typedef struct ge25519_t {
bignum25519 x, y, z, t;
} ge25519;
typedef struct ge25519_p1p1_t {
bignum25519 x, y, z, t;
} ge25519_p1p1;
typedef struct ge25519_niels_t {
bignum25519 ysubx, xaddy, t2d;
} ge25519_niels;
typedef struct ge25519_pniels_t {
bignum25519 ysubx, xaddy, z, t2d;
} ge25519_pniels;
#include "ed25519-donna-basepoint-table.h"
#if defined(ED25519_64BIT)
#include "ed25519-donna-64bit-tables.h"
#include "ed25519-donna-64bit-x86.h"
#else
#include "ed25519-donna-32bit-tables.h"
#include "ed25519-donna-64bit-x86-32bit.h"
#endif
#if defined(ED25519_SSE2)
#include "ed25519-donna-32bit-sse2.h"
#include "ed25519-donna-64bit-sse2.h"
#include "ed25519-donna-impl-sse2.h"
#else
#include "ed25519-donna-impl-base.h"
#endif

View File

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

219
external/ed25519-donna/ed25519-hash.h vendored Normal file
View File

@@ -0,0 +1,219 @@
#if defined(ED25519_REFHASH)
/* reference/slow SHA-512. really, do not use this */
#define HASH_BLOCK_SIZE 128
#define HASH_DIGEST_SIZE 64
typedef struct sha512_state_t {
uint64_t H[8];
uint64_t T[2];
uint32_t leftover;
uint8_t buffer[HASH_BLOCK_SIZE];
} sha512_state;
typedef sha512_state ed25519_hash_context;
static const uint64_t sha512_constants[80] = {
0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull,
0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull,
0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull,
0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull,
0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull,
0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull,
0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull,
0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull,
0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull,
0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull,
0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull,
0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull,
0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull,
0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull,
0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull,
0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull,
0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull,
0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull,
0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull,
0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull
};
static uint64_t
sha512_ROTR64(uint64_t x, int k) {
return (x >> k) | (x << (64 - k));
}
static uint64_t
sha512_LOAD64_BE(const uint8_t *p) {
return
((uint64_t)p[0] << 56) |
((uint64_t)p[1] << 48) |
((uint64_t)p[2] << 40) |
((uint64_t)p[3] << 32) |
((uint64_t)p[4] << 24) |
((uint64_t)p[5] << 16) |
((uint64_t)p[6] << 8) |
((uint64_t)p[7] );
}
static void
sha512_STORE64_BE(uint8_t *p, uint64_t v) {
p[0] = (uint8_t)(v >> 56);
p[1] = (uint8_t)(v >> 48);
p[2] = (uint8_t)(v >> 40);
p[3] = (uint8_t)(v >> 32);
p[4] = (uint8_t)(v >> 24);
p[5] = (uint8_t)(v >> 16);
p[6] = (uint8_t)(v >> 8);
p[7] = (uint8_t)(v );
}
#define Ch(x,y,z) (z ^ (x & (y ^ z)))
#define Maj(x,y,z) (((x | y) & z) | (x & y))
#define S0(x) (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39))
#define S1(x) (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41))
#define G0(x) (sha512_ROTR64(x, 1) ^ sha512_ROTR64(x, 8) ^ (x >> 7))
#define G1(x) (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >> 6))
#define W0(in,i) (sha512_LOAD64_BE(&in[i * 8]))
#define W1(i) (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16])
#define STEP(i) \
t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \
t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \
r[7] = r[6]; \
r[6] = r[5]; \
r[5] = r[4]; \
r[4] = r[3] + t0; \
r[3] = r[2]; \
r[2] = r[1]; \
r[1] = r[0]; \
r[0] = t0 + t1;
static void
sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) {
uint64_t r[8], w[80], t0, t1;
size_t i;
for (i = 0; i < 8; i++) r[i] = S->H[i];
while (blocks--) {
for (i = 0; i < 16; i++) { w[i] = W0(in, i); }
for (i = 16; i < 80; i++) { w[i] = W1(i); }
for (i = 0; i < 80; i++) { STEP(i); }
for (i = 0; i < 8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; }
S->T[0] += HASH_BLOCK_SIZE * 8;
S->T[1] += (!S->T[0]) ? 1 : 0;
in += HASH_BLOCK_SIZE;
}
}
static void
ed25519_hash_init(sha512_state *S) {
S->H[0] = 0x6a09e667f3bcc908ull;
S->H[1] = 0xbb67ae8584caa73bull;
S->H[2] = 0x3c6ef372fe94f82bull;
S->H[3] = 0xa54ff53a5f1d36f1ull;
S->H[4] = 0x510e527fade682d1ull;
S->H[5] = 0x9b05688c2b3e6c1full;
S->H[6] = 0x1f83d9abfb41bd6bull;
S->H[7] = 0x5be0cd19137e2179ull;
S->T[0] = 0;
S->T[1] = 0;
S->leftover = 0;
}
static void
ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) {
size_t blocks, want;
/* handle the previous data */
if (S->leftover) {
want = (HASH_BLOCK_SIZE - S->leftover);
want = (want < inlen) ? want : inlen;
memcpy(S->buffer + S->leftover, in, want);
S->leftover += (uint32_t)want;
if (S->leftover < HASH_BLOCK_SIZE)
return;
in += want;
inlen -= want;
sha512_blocks(S, S->buffer, 1);
}
/* handle the current data */
blocks = (inlen & ~(HASH_BLOCK_SIZE - 1));
S->leftover = (uint32_t)(inlen - blocks);
if (blocks) {
sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE);
in += blocks;
}
/* handle leftover data */
if (S->leftover)
memcpy(S->buffer, in, S->leftover);
}
static void
ed25519_hash_final(sha512_state *S, uint8_t *hash) {
uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1];
S->buffer[S->leftover] = 0x80;
if (S->leftover <= 111) {
memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover);
} else {
memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover);
sha512_blocks(S, S->buffer, 1);
memset(S->buffer, 0, 112);
}
sha512_STORE64_BE(S->buffer + 112, t1);
sha512_STORE64_BE(S->buffer + 120, t0);
sha512_blocks(S, S->buffer, 1);
sha512_STORE64_BE(&hash[ 0], S->H[0]);
sha512_STORE64_BE(&hash[ 8], S->H[1]);
sha512_STORE64_BE(&hash[16], S->H[2]);
sha512_STORE64_BE(&hash[24], S->H[3]);
sha512_STORE64_BE(&hash[32], S->H[4]);
sha512_STORE64_BE(&hash[40], S->H[5]);
sha512_STORE64_BE(&hash[48], S->H[6]);
sha512_STORE64_BE(&hash[56], S->H[7]);
}
static void
ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
ed25519_hash_context ctx;
ed25519_hash_init(&ctx);
ed25519_hash_update(&ctx, in, inlen);
ed25519_hash_final(&ctx, hash);
}
#elif defined(ED25519_CUSTOMHASH)
#include "ed25519-hash-custom.h"
#else
#include <openssl/sha.h>
typedef SHA512_CTX ed25519_hash_context;
static void
ed25519_hash_init(ed25519_hash_context *ctx) {
SHA512_Init(ctx);
}
static void
ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen) {
SHA512_Update(ctx, in, inlen);
}
static void
ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash) {
SHA512_Final(hash, ctx);
}
static void
ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) {
SHA512(in, inlen, hash);
}
#endif

View File

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

@@ -0,0 +1,91 @@
#if defined(ED25519_TEST)
/*
ISAAC+ "variant", the paper is not clear on operator precedence and other
things. This is the "first in, first out" option!
Not threadsafe or securely initialized, only for deterministic testing
*/
typedef struct isaacp_state_t {
uint32_t state[256];
unsigned char buffer[1024];
uint32_t a, b, c;
size_t left;
} isaacp_state;
#define isaacp_step(offset, mix) \
x = mm[i + offset]; \
a = (a ^ (mix)) + (mm[(i + offset + 128) & 0xff]); \
y = (a ^ b) + mm[(x >> 2) & 0xff]; \
mm[i + offset] = y; \
b = (x + a) ^ mm[(y >> 10) & 0xff]; \
U32TO8_LE(out + (i + offset) * 4, b);
static void
isaacp_mix(isaacp_state *st) {
uint32_t i, x, y;
uint32_t a = st->a, b = st->b, c = st->c;
uint32_t *mm = st->state;
unsigned char *out = st->buffer;
c = c + 1;
b = b + c;
for (i = 0; i < 256; i += 4) {
isaacp_step(0, ROTL32(a,13))
isaacp_step(1, ROTR32(a, 6))
isaacp_step(2, ROTL32(a, 2))
isaacp_step(3, ROTR32(a,16))
}
st->a = a;
st->b = b;
st->c = c;
st->left = 1024;
}
static void
isaacp_random(isaacp_state *st, void *p, size_t len) {
size_t use;
unsigned char *c = (unsigned char *)p;
while (len) {
use = (len > st->left) ? st->left : len;
memcpy(c, st->buffer + (sizeof(st->buffer) - st->left), use);
st->left -= use;
c += use;
len -= use;
if (!st->left)
isaacp_mix(st);
}
}
void
ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) {
static int initialized = 0;
static isaacp_state rng;
if (!initialized) {
memset(&rng, 0, sizeof(rng));
isaacp_mix(&rng);
isaacp_mix(&rng);
initialized = 1;
}
isaacp_random(&rng, p, len);
}
#elif defined(ED25519_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

150
external/ed25519-donna/ed25519.c vendored Normal file
View File

@@ -0,0 +1,150 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
Ed25519 reference implementation using Ed25519-donna
*/
/* define ED25519_SUFFIX to have it appended to the end of each public function */
#if !defined(ED25519_SUFFIX)
#define ED25519_SUFFIX
#endif
#define ED25519_FN3(fn,suffix) fn##suffix
#define ED25519_FN2(fn,suffix) ED25519_FN3(fn,suffix)
#define ED25519_FN(fn) ED25519_FN2(fn,ED25519_SUFFIX)
#include "ed25519-donna.h"
#include "ed25519.h"
#include "ed25519-randombytes.h"
#include "ed25519-hash.h"
/*
Generates a (extsk[0..31]) and aExt (extsk[32..63])
*/
DONNA_INLINE static void
ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) {
ed25519_hash(extsk, sk, 32);
extsk[0] &= 248;
extsk[31] &= 127;
extsk[31] |= 64;
}
static void
ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) {
ed25519_hash_context ctx;
ed25519_hash_init(&ctx);
ed25519_hash_update(&ctx, RS, 32);
ed25519_hash_update(&ctx, pk, 32);
ed25519_hash_update(&ctx, m, mlen);
ed25519_hash_final(&ctx, hram);
}
void
ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) {
bignum256modm a;
ge25519 ALIGN(16) A;
hash_512bits extsk;
/* A = aB */
ed25519_extsk(extsk, sk);
expand256_modm(a, extsk, 32);
ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a);
ge25519_pack(pk, &A);
}
void
ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) {
ed25519_hash_context ctx;
bignum256modm r, S, a;
ge25519 ALIGN(16) R;
hash_512bits extsk, hashr, hram;
ed25519_extsk(extsk, sk);
/* r = H(aExt[32..64], m) */
ed25519_hash_init(&ctx);
ed25519_hash_update(&ctx, extsk + 32, 32);
ed25519_hash_update(&ctx, m, mlen);
ed25519_hash_final(&ctx, hashr);
expand256_modm(r, hashr, 64);
/* R = rB */
ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r);
ge25519_pack(RS, &R);
/* S = H(R,A,m).. */
ed25519_hram(hram, RS, pk, m, mlen);
expand256_modm(S, hram, 64);
/* S = H(R,A,m)a */
expand256_modm(a, extsk, 32);
mul256_modm(S, S, a);
/* S = (r + H(R,A,m)a) */
add256_modm(S, S, r);
/* S = (r + H(R,A,m)a) mod L */
contract256_modm(RS + 32, S);
}
int
ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) {
ge25519 ALIGN(16) R, A;
hash_512bits hash;
bignum256modm hram, S;
unsigned char checkR[32];
if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk))
return -1;
/* hram = H(R,A,m) */
ed25519_hram(hash, RS, pk, m, mlen);
expand256_modm(hram, hash, 64);
/* S */
expand256_modm(S, RS + 32, 32);
/* SB - H(R,A,m)A */
ge25519_double_scalarmult_vartime(&R, &A, hram, S);
ge25519_pack(checkR, &R);
/* check that R = SB - H(R,A,m)A */
return ed25519_verify(RS, checkR, 32) ? 0 : -1;
}
#include "ed25519-donna-batchverify.h"
/*
Fast Curve25519 basepoint scalar multiplication
*/
void
ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) {
curved25519_key ec;
bignum256modm s;
bignum25519 ALIGN(16) yplusz, zminusy;
ge25519 ALIGN(16) p;
size_t i;
/* clamp */
for (i = 0; i < 32; i++) ec[i] = e[i];
ec[0] &= 248;
ec[31] &= 127;
ec[31] |= 64;
expand_raw256_modm(s, ec);
/* scalar * basepoint */
ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s);
/* u = (y + z) / (z - y) */
curve25519_add(yplusz, p.y, p.z);
curve25519_sub(zminusy, p.z, p.y);
curve25519_recip(zminusy, zminusy);
curve25519_mul(yplusz, yplusz, zminusy);
curve25519_contract(pk, yplusz);
}

30
external/ed25519-donna/ed25519.h vendored Normal file
View File

@@ -0,0 +1,30 @@
#ifndef ED25519_H
#define ED25519_H
#include <stdlib.h>
#if defined(__cplusplus)
extern "C" {
#endif
typedef unsigned char ed25519_signature[64];
typedef unsigned char ed25519_public_key[32];
typedef unsigned char ed25519_secret_key[32];
typedef unsigned char curved25519_key[32];
void ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk);
int ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS);
void ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS);
int ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid);
void ed25519_randombytes_unsafe(void *out, size_t count);
void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e);
#if defined(__cplusplus)
}
#endif
#endif // ED25519_H

173
external/ed25519-donna/fuzz/README.md vendored Normal file
View File

@@ -0,0 +1,173 @@
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

@@ -0,0 +1,134 @@
<?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

@@ -0,0 +1,8 @@
#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

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

View File

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

View File

@@ -0,0 +1,34 @@
#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

@@ -0,0 +1,9 @@
#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

@@ -0,0 +1,172 @@
#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

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

@@ -0,0 +1,469 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
*/
/*
Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989
k = 32
b = 1 << 8 = 256
m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b
*/
#define bignum256modm_bits_per_limb 30
#define bignum256modm_limb_size 9
typedef uint32_t bignum256modm_element_t;
typedef bignum256modm_element_t bignum256modm[9];
static const bignum256modm modm_m = {
0x1cf5d3ed, 0x20498c69, 0x2f79cd65, 0x37be77a8,
0x00000014, 0x00000000, 0x00000000, 0x00000000,
0x00001000
};
static const bignum256modm modm_mu = {
0x0a2c131b, 0x3673968c, 0x06329a7e, 0x01885742,
0x3fffeb21, 0x3fffffff, 0x3fffffff, 0x3fffffff,
0x000fffff
};
static bignum256modm_element_t
lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) {
return (a - b) >> 31;
}
/* see HAC, Alg. 14.42 Step 4 */
static void
reduce256_modm(bignum256modm r) {
bignum256modm t;
bignum256modm_element_t b = 0, pb, mask;
/* t = r - m */
pb = 0;
pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 30)); pb = b;
pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 30)); pb = b;
pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 30)); pb = b;
pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 30)); pb = b;
pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 30)); pb = b;
pb += modm_m[5]; b = lt_modm(r[5], pb); t[5] = (r[5] - pb + (b << 30)); pb = b;
pb += modm_m[6]; b = lt_modm(r[6], pb); t[6] = (r[6] - pb + (b << 30)); pb = b;
pb += modm_m[7]; b = lt_modm(r[7], pb); t[7] = (r[7] - pb + (b << 30)); pb = b;
pb += modm_m[8]; b = lt_modm(r[8], pb); t[8] = (r[8] - pb + (b << 16));
/* keep r if r was smaller than m */
mask = b - 1;
r[0] ^= mask & (r[0] ^ t[0]);
r[1] ^= mask & (r[1] ^ t[1]);
r[2] ^= mask & (r[2] ^ t[2]);
r[3] ^= mask & (r[3] ^ t[3]);
r[4] ^= mask & (r[4] ^ t[4]);
r[5] ^= mask & (r[5] ^ t[5]);
r[6] ^= mask & (r[6] ^ t[6]);
r[7] ^= mask & (r[7] ^ t[7]);
r[8] ^= mask & (r[8] ^ t[8]);
}
/*
Barrett reduction, see HAC, Alg. 14.42
Instead of passing in x, pre-process in to q1 and r1 for efficiency
*/
static void
barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) {
bignum256modm q3, r2;
uint64_t c;
bignum256modm_element_t f, b, pb;
/* q1 = x >> 248 = 264 bits = 9 30 bit elements
q2 = mu * q1
q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */
c = mul32x32_64(modm_mu[0], q1[7]) + mul32x32_64(modm_mu[1], q1[6]) + mul32x32_64(modm_mu[2], q1[5]) + mul32x32_64(modm_mu[3], q1[4]) + mul32x32_64(modm_mu[4], q1[3]) + mul32x32_64(modm_mu[5], q1[2]) + mul32x32_64(modm_mu[6], q1[1]) + mul32x32_64(modm_mu[7], q1[0]);
c >>= 30;
c += mul32x32_64(modm_mu[0], q1[8]) + mul32x32_64(modm_mu[1], q1[7]) + mul32x32_64(modm_mu[2], q1[6]) + mul32x32_64(modm_mu[3], q1[5]) + mul32x32_64(modm_mu[4], q1[4]) + mul32x32_64(modm_mu[5], q1[3]) + mul32x32_64(modm_mu[6], q1[2]) + mul32x32_64(modm_mu[7], q1[1]) + mul32x32_64(modm_mu[8], q1[0]);
f = (bignum256modm_element_t)c; q3[0] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[1], q1[8]) + mul32x32_64(modm_mu[2], q1[7]) + mul32x32_64(modm_mu[3], q1[6]) + mul32x32_64(modm_mu[4], q1[5]) + mul32x32_64(modm_mu[5], q1[4]) + mul32x32_64(modm_mu[6], q1[3]) + mul32x32_64(modm_mu[7], q1[2]) + mul32x32_64(modm_mu[8], q1[1]);
f = (bignum256modm_element_t)c; q3[0] |= (f << 6) & 0x3fffffff; q3[1] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[2], q1[8]) + mul32x32_64(modm_mu[3], q1[7]) + mul32x32_64(modm_mu[4], q1[6]) + mul32x32_64(modm_mu[5], q1[5]) + mul32x32_64(modm_mu[6], q1[4]) + mul32x32_64(modm_mu[7], q1[3]) + mul32x32_64(modm_mu[8], q1[2]);
f = (bignum256modm_element_t)c; q3[1] |= (f << 6) & 0x3fffffff; q3[2] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[3], q1[8]) + mul32x32_64(modm_mu[4], q1[7]) + mul32x32_64(modm_mu[5], q1[6]) + mul32x32_64(modm_mu[6], q1[5]) + mul32x32_64(modm_mu[7], q1[4]) + mul32x32_64(modm_mu[8], q1[3]);
f = (bignum256modm_element_t)c; q3[2] |= (f << 6) & 0x3fffffff; q3[3] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[4], q1[8]) + mul32x32_64(modm_mu[5], q1[7]) + mul32x32_64(modm_mu[6], q1[6]) + mul32x32_64(modm_mu[7], q1[5]) + mul32x32_64(modm_mu[8], q1[4]);
f = (bignum256modm_element_t)c; q3[3] |= (f << 6) & 0x3fffffff; q3[4] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[5], q1[8]) + mul32x32_64(modm_mu[6], q1[7]) + mul32x32_64(modm_mu[7], q1[6]) + mul32x32_64(modm_mu[8], q1[5]);
f = (bignum256modm_element_t)c; q3[4] |= (f << 6) & 0x3fffffff; q3[5] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[6], q1[8]) + mul32x32_64(modm_mu[7], q1[7]) + mul32x32_64(modm_mu[8], q1[6]);
f = (bignum256modm_element_t)c; q3[5] |= (f << 6) & 0x3fffffff; q3[6] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[7], q1[8]) + mul32x32_64(modm_mu[8], q1[7]);
f = (bignum256modm_element_t)c; q3[6] |= (f << 6) & 0x3fffffff; q3[7] = (f >> 24) & 0x3f; c >>= 30;
c += mul32x32_64(modm_mu[8], q1[8]);
f = (bignum256modm_element_t)c; q3[7] |= (f << 6) & 0x3fffffff; q3[8] = (bignum256modm_element_t)(c >> 24);
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
r2 = (q3 * m) mod (256^(32+1)) = (q3 * m) & ((1 << 264) - 1) */
c = mul32x32_64(modm_m[0], q3[0]);
r2[0] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[1]) + mul32x32_64(modm_m[1], q3[0]);
r2[1] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[2]) + mul32x32_64(modm_m[1], q3[1]) + mul32x32_64(modm_m[2], q3[0]);
r2[2] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[3]) + mul32x32_64(modm_m[1], q3[2]) + mul32x32_64(modm_m[2], q3[1]) + mul32x32_64(modm_m[3], q3[0]);
r2[3] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[4]) + mul32x32_64(modm_m[1], q3[3]) + mul32x32_64(modm_m[2], q3[2]) + mul32x32_64(modm_m[3], q3[1]) + mul32x32_64(modm_m[4], q3[0]);
r2[4] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[5]) + mul32x32_64(modm_m[1], q3[4]) + mul32x32_64(modm_m[2], q3[3]) + mul32x32_64(modm_m[3], q3[2]) + mul32x32_64(modm_m[4], q3[1]) + mul32x32_64(modm_m[5], q3[0]);
r2[5] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[6]) + mul32x32_64(modm_m[1], q3[5]) + mul32x32_64(modm_m[2], q3[4]) + mul32x32_64(modm_m[3], q3[3]) + mul32x32_64(modm_m[4], q3[2]) + mul32x32_64(modm_m[5], q3[1]) + mul32x32_64(modm_m[6], q3[0]);
r2[6] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[7]) + mul32x32_64(modm_m[1], q3[6]) + mul32x32_64(modm_m[2], q3[5]) + mul32x32_64(modm_m[3], q3[4]) + mul32x32_64(modm_m[4], q3[3]) + mul32x32_64(modm_m[5], q3[2]) + mul32x32_64(modm_m[6], q3[1]) + mul32x32_64(modm_m[7], q3[0]);
r2[7] = (bignum256modm_element_t)(c & 0x3fffffff); c >>= 30;
c += mul32x32_64(modm_m[0], q3[8]) + mul32x32_64(modm_m[1], q3[7]) + mul32x32_64(modm_m[2], q3[6]) + mul32x32_64(modm_m[3], q3[5]) + mul32x32_64(modm_m[4], q3[4]) + mul32x32_64(modm_m[5], q3[3]) + mul32x32_64(modm_m[6], q3[2]) + mul32x32_64(modm_m[7], q3[1]) + mul32x32_64(modm_m[8], q3[0]);
r2[8] = (bignum256modm_element_t)(c & 0xffffff);
/* r = r1 - r2
if (r < 0) r += (1 << 264) */
pb = 0;
pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 30)); pb = b;
pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 30)); pb = b;
pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 30)); pb = b;
pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 30)); pb = b;
pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 30)); pb = b;
pb += r2[5]; b = lt_modm(r1[5], pb); r[5] = (r1[5] - pb + (b << 30)); pb = b;
pb += r2[6]; b = lt_modm(r1[6], pb); r[6] = (r1[6] - pb + (b << 30)); pb = b;
pb += r2[7]; b = lt_modm(r1[7], pb); r[7] = (r1[7] - pb + (b << 30)); pb = b;
pb += r2[8]; b = lt_modm(r1[8], pb); r[8] = (r1[8] - pb + (b << 24));
reduce256_modm(r);
reduce256_modm(r);
}
/* addition modulo m */
static void
add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
bignum256modm_element_t c;
c = x[0] + y[0]; r[0] = c & 0x3fffffff; c >>= 30;
c += x[1] + y[1]; r[1] = c & 0x3fffffff; c >>= 30;
c += x[2] + y[2]; r[2] = c & 0x3fffffff; c >>= 30;
c += x[3] + y[3]; r[3] = c & 0x3fffffff; c >>= 30;
c += x[4] + y[4]; r[4] = c & 0x3fffffff; c >>= 30;
c += x[5] + y[5]; r[5] = c & 0x3fffffff; c >>= 30;
c += x[6] + y[6]; r[6] = c & 0x3fffffff; c >>= 30;
c += x[7] + y[7]; r[7] = c & 0x3fffffff; c >>= 30;
c += x[8] + y[8]; r[8] = c;
reduce256_modm(r);
}
/* multiplication modulo m */
static void
mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
bignum256modm r1, q1;
uint64_t c;
bignum256modm_element_t f;
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1)
q1 = x >> 248 = 264 bits = 9 30 bit elements */
c = mul32x32_64(x[0], y[0]);
f = (bignum256modm_element_t)c; r1[0] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[1]) + mul32x32_64(x[1], y[0]);
f = (bignum256modm_element_t)c; r1[1] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[2]) + mul32x32_64(x[1], y[1]) + mul32x32_64(x[2], y[0]);
f = (bignum256modm_element_t)c; r1[2] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[3]) + mul32x32_64(x[1], y[2]) + mul32x32_64(x[2], y[1]) + mul32x32_64(x[3], y[0]);
f = (bignum256modm_element_t)c; r1[3] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[4]) + mul32x32_64(x[1], y[3]) + mul32x32_64(x[2], y[2]) + mul32x32_64(x[3], y[1]) + mul32x32_64(x[4], y[0]);
f = (bignum256modm_element_t)c; r1[4] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[5]) + mul32x32_64(x[1], y[4]) + mul32x32_64(x[2], y[3]) + mul32x32_64(x[3], y[2]) + mul32x32_64(x[4], y[1]) + mul32x32_64(x[5], y[0]);
f = (bignum256modm_element_t)c; r1[5] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[6]) + mul32x32_64(x[1], y[5]) + mul32x32_64(x[2], y[4]) + mul32x32_64(x[3], y[3]) + mul32x32_64(x[4], y[2]) + mul32x32_64(x[5], y[1]) + mul32x32_64(x[6], y[0]);
f = (bignum256modm_element_t)c; r1[6] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[7]) + mul32x32_64(x[1], y[6]) + mul32x32_64(x[2], y[5]) + mul32x32_64(x[3], y[4]) + mul32x32_64(x[4], y[3]) + mul32x32_64(x[5], y[2]) + mul32x32_64(x[6], y[1]) + mul32x32_64(x[7], y[0]);
f = (bignum256modm_element_t)c; r1[7] = (f & 0x3fffffff); c >>= 30;
c += mul32x32_64(x[0], y[8]) + mul32x32_64(x[1], y[7]) + mul32x32_64(x[2], y[6]) + mul32x32_64(x[3], y[5]) + mul32x32_64(x[4], y[4]) + mul32x32_64(x[5], y[3]) + mul32x32_64(x[6], y[2]) + mul32x32_64(x[7], y[1]) + mul32x32_64(x[8], y[0]);
f = (bignum256modm_element_t)c; r1[8] = (f & 0x00ffffff); q1[0] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[1], y[8]) + mul32x32_64(x[2], y[7]) + mul32x32_64(x[3], y[6]) + mul32x32_64(x[4], y[5]) + mul32x32_64(x[5], y[4]) + mul32x32_64(x[6], y[3]) + mul32x32_64(x[7], y[2]) + mul32x32_64(x[8], y[1]);
f = (bignum256modm_element_t)c; q1[0] = (q1[0] | (f << 22)) & 0x3fffffff; q1[1] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[2], y[8]) + mul32x32_64(x[3], y[7]) + mul32x32_64(x[4], y[6]) + mul32x32_64(x[5], y[5]) + mul32x32_64(x[6], y[4]) + mul32x32_64(x[7], y[3]) + mul32x32_64(x[8], y[2]);
f = (bignum256modm_element_t)c; q1[1] = (q1[1] | (f << 22)) & 0x3fffffff; q1[2] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[3], y[8]) + mul32x32_64(x[4], y[7]) + mul32x32_64(x[5], y[6]) + mul32x32_64(x[6], y[5]) + mul32x32_64(x[7], y[4]) + mul32x32_64(x[8], y[3]);
f = (bignum256modm_element_t)c; q1[2] = (q1[2] | (f << 22)) & 0x3fffffff; q1[3] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[4], y[8]) + mul32x32_64(x[5], y[7]) + mul32x32_64(x[6], y[6]) + mul32x32_64(x[7], y[5]) + mul32x32_64(x[8], y[4]);
f = (bignum256modm_element_t)c; q1[3] = (q1[3] | (f << 22)) & 0x3fffffff; q1[4] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[5], y[8]) + mul32x32_64(x[6], y[7]) + mul32x32_64(x[7], y[6]) + mul32x32_64(x[8], y[5]);
f = (bignum256modm_element_t)c; q1[4] = (q1[4] | (f << 22)) & 0x3fffffff; q1[5] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[6], y[8]) + mul32x32_64(x[7], y[7]) + mul32x32_64(x[8], y[6]);
f = (bignum256modm_element_t)c; q1[5] = (q1[5] | (f << 22)) & 0x3fffffff; q1[6] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[7], y[8]) + mul32x32_64(x[8], y[7]);
f = (bignum256modm_element_t)c; q1[6] = (q1[6] | (f << 22)) & 0x3fffffff; q1[7] = (f >> 8) & 0x3fffff; c >>= 30;
c += mul32x32_64(x[8], y[8]);
f = (bignum256modm_element_t)c; q1[7] = (q1[7] | (f << 22)) & 0x3fffffff; q1[8] = (f >> 8) & 0x3fffff;
barrett_reduce256_modm(r, q1, r1);
}
static void
expand256_modm(bignum256modm out, const unsigned char *in, size_t len) {
unsigned char work[64] = {0};
bignum256modm_element_t x[16];
bignum256modm q1;
memcpy(work, in, len);
x[0] = U8TO32_LE(work + 0);
x[1] = U8TO32_LE(work + 4);
x[2] = U8TO32_LE(work + 8);
x[3] = U8TO32_LE(work + 12);
x[4] = U8TO32_LE(work + 16);
x[5] = U8TO32_LE(work + 20);
x[6] = U8TO32_LE(work + 24);
x[7] = U8TO32_LE(work + 28);
x[8] = U8TO32_LE(work + 32);
x[9] = U8TO32_LE(work + 36);
x[10] = U8TO32_LE(work + 40);
x[11] = U8TO32_LE(work + 44);
x[12] = U8TO32_LE(work + 48);
x[13] = U8TO32_LE(work + 52);
x[14] = U8TO32_LE(work + 56);
x[15] = U8TO32_LE(work + 60);
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */
out[0] = ( x[0]) & 0x3fffffff;
out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff;
out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff;
out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff;
out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff;
out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
out[8] = ((x[ 7] >> 16) | (x[ 8] << 16)) & 0x00ffffff;
/* 8*31 = 248 bits, no need to reduce */
if (len < 32)
return;
/* q1 = x >> 248 = 264 bits = 9 30 bit elements */
q1[0] = ((x[ 7] >> 24) | (x[ 8] << 8)) & 0x3fffffff;
q1[1] = ((x[ 8] >> 22) | (x[ 9] << 10)) & 0x3fffffff;
q1[2] = ((x[ 9] >> 20) | (x[10] << 12)) & 0x3fffffff;
q1[3] = ((x[10] >> 18) | (x[11] << 14)) & 0x3fffffff;
q1[4] = ((x[11] >> 16) | (x[12] << 16)) & 0x3fffffff;
q1[5] = ((x[12] >> 14) | (x[13] << 18)) & 0x3fffffff;
q1[6] = ((x[13] >> 12) | (x[14] << 20)) & 0x3fffffff;
q1[7] = ((x[14] >> 10) | (x[15] << 22)) & 0x3fffffff;
q1[8] = ((x[15] >> 8) );
barrett_reduce256_modm(out, q1, out);
}
static void
expand_raw256_modm(bignum256modm out, const unsigned char in[32]) {
bignum256modm_element_t x[8];
x[0] = U8TO32_LE(in + 0);
x[1] = U8TO32_LE(in + 4);
x[2] = U8TO32_LE(in + 8);
x[3] = U8TO32_LE(in + 12);
x[4] = U8TO32_LE(in + 16);
x[5] = U8TO32_LE(in + 20);
x[6] = U8TO32_LE(in + 24);
x[7] = U8TO32_LE(in + 28);
out[0] = ( x[0]) & 0x3fffffff;
out[1] = ((x[ 0] >> 30) | (x[ 1] << 2)) & 0x3fffffff;
out[2] = ((x[ 1] >> 28) | (x[ 2] << 4)) & 0x3fffffff;
out[3] = ((x[ 2] >> 26) | (x[ 3] << 6)) & 0x3fffffff;
out[4] = ((x[ 3] >> 24) | (x[ 4] << 8)) & 0x3fffffff;
out[5] = ((x[ 4] >> 22) | (x[ 5] << 10)) & 0x3fffffff;
out[6] = ((x[ 5] >> 20) | (x[ 6] << 12)) & 0x3fffffff;
out[7] = ((x[ 6] >> 18) | (x[ 7] << 14)) & 0x3fffffff;
out[8] = ((x[ 7] >> 16) ) & 0x0000ffff;
}
static void
contract256_modm(unsigned char out[32], const bignum256modm in) {
U32TO8_LE(out + 0, (in[0] ) | (in[1] << 30));
U32TO8_LE(out + 4, (in[1] >> 2) | (in[2] << 28));
U32TO8_LE(out + 8, (in[2] >> 4) | (in[3] << 26));
U32TO8_LE(out + 12, (in[3] >> 6) | (in[4] << 24));
U32TO8_LE(out + 16, (in[4] >> 8) | (in[5] << 22));
U32TO8_LE(out + 20, (in[5] >> 10) | (in[6] << 20));
U32TO8_LE(out + 24, (in[6] >> 12) | (in[7] << 18));
U32TO8_LE(out + 28, (in[7] >> 14) | (in[8] << 16));
}
static void
contract256_window4_modm(signed char r[64], const bignum256modm in) {
char carry;
signed char *quads = r;
bignum256modm_element_t i, j, v;
for (i = 0; i < 8; i += 2) {
v = in[i];
for (j = 0; j < 7; j++) {
*quads++ = (v & 15);
v >>= 4;
}
v |= (in[i+1] << 2);
for (j = 0; j < 8; j++) {
*quads++ = (v & 15);
v >>= 4;
}
}
v = in[8];
*quads++ = (v & 15); v >>= 4;
*quads++ = (v & 15); v >>= 4;
*quads++ = (v & 15); v >>= 4;
*quads++ = (v & 15); v >>= 4;
/* making it signed */
carry = 0;
for(i = 0; i < 63; i++) {
r[i] += carry;
r[i+1] += (r[i] >> 4);
r[i] &= 15;
carry = (r[i] >> 3);
r[i] -= (carry << 4);
}
r[63] += carry;
}
static void
contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) {
int i,j,k,b;
int m = (1 << (windowsize - 1)) - 1, soplen = 256;
signed char *bits = r;
bignum256modm_element_t v;
/* first put the binary expansion into r */
for (i = 0; i < 8; i++) {
v = s[i];
for (j = 0; j < 30; j++, v >>= 1)
*bits++ = (v & 1);
}
v = s[8];
for (j = 0; j < 16; j++, v >>= 1)
*bits++ = (v & 1);
/* Making it sliding window */
for (j = 0; j < soplen; j++) {
if (!r[j])
continue;
for (b = 1; (b < (soplen - j)) && (b <= 6); b++) {
if ((r[j] + (r[j + b] << b)) <= m) {
r[j] += r[j + b] << b;
r[j + b] = 0;
} else if ((r[j] - (r[j + b] << b)) >= -m) {
r[j] -= r[j + b] << b;
for (k = j + b; k < soplen; k++) {
if (!r[k]) {
r[k] = 1;
break;
}
r[k] = 0;
}
} else if (r[j + b]) {
break;
}
}
}
}
/*
helpers for batch verifcation, are allowed to be vartime
*/
/* out = a - b, a must be larger than b */
static void
sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) {
size_t i = 0;
bignum256modm_element_t carry = 0;
switch (limbsize) {
case 8: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 7: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 6: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 5: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 4: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 31); out[i] &= 0x3fffffff; i++;
case 0:
default: out[i] = (a[i] - b[i]) - carry;
}
}
/* is a < b */
static int
lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
switch (limbsize) {
case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
}
return 0;
}
/* is a <= b */
static int
lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
switch (limbsize) {
case 8: if (a[8] > b[8]) return 0; if (a[8] < b[8]) return 1;
case 7: if (a[7] > b[7]) return 0; if (a[7] < b[7]) return 1;
case 6: if (a[6] > b[6]) return 0; if (a[6] < b[6]) return 1;
case 5: if (a[5] > b[5]) return 0; if (a[5] < b[5]) return 1;
case 4: if (a[4] > b[4]) return 0; if (a[4] < b[4]) return 1;
case 3: if (a[3] > b[3]) return 0; if (a[3] < b[3]) return 1;
case 2: if (a[2] > b[2]) return 0; if (a[2] < b[2]) return 1;
case 1: if (a[1] > b[1]) return 0; if (a[1] < b[1]) return 1;
case 0: if (a[0] > b[0]) return 0; if (a[0] < b[0]) return 1;
}
return 1;
}
/* is a == 0 */
static int
iszero256_modm_batch(const bignum256modm a) {
size_t i;
for (i = 0; i < 9; i++)
if (a[i])
return 0;
return 1;
}
/* is a == 1 */
static int
isone256_modm_batch(const bignum256modm a) {
size_t i;
if (a[0] != 1)
return 0;
for (i = 1; i < 9; i++)
if (a[i])
return 0;
return 1;
}
/* can a fit in to (at most) 128 bits */
static int
isatmost128bits256_modm_batch(const bignum256modm a) {
uint32_t mask =
((a[8] ) | /* 16 */
(a[7] ) | /* 46 */
(a[6] ) | /* 76 */
(a[5] ) | /* 106 */
(a[4] & 0x3fffff00)); /* 128 */
return (mask == 0);
}

View File

@@ -0,0 +1,361 @@
/*
Public domain by Andrew M. <liquidsun@gmail.com>
*/
/*
Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989
k = 32
b = 1 << 8 = 256
m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b
*/
#define bignum256modm_bits_per_limb 56
#define bignum256modm_limb_size 5
typedef uint64_t bignum256modm_element_t;
typedef bignum256modm_element_t bignum256modm[5];
static const bignum256modm modm_m = {
0x12631a5cf5d3ed,
0xf9dea2f79cd658,
0x000000000014de,
0x00000000000000,
0x00000010000000
};
static const bignum256modm modm_mu = {
0x9ce5a30a2c131b,
0x215d086329a7ed,
0xffffffffeb2106,
0xffffffffffffff,
0x00000fffffffff
};
static bignum256modm_element_t
lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) {
return (a - b) >> 63;
}
static void
reduce256_modm(bignum256modm r) {
bignum256modm t;
bignum256modm_element_t b = 0, pb, mask;
/* t = r - m */
pb = 0;
pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 56)); pb = b;
pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 56)); pb = b;
pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 56)); pb = b;
pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 56)); pb = b;
pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 32));
/* keep r if r was smaller than m */
mask = b - 1;
r[0] ^= mask & (r[0] ^ t[0]);
r[1] ^= mask & (r[1] ^ t[1]);
r[2] ^= mask & (r[2] ^ t[2]);
r[3] ^= mask & (r[3] ^ t[3]);
r[4] ^= mask & (r[4] ^ t[4]);
}
static void
barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) {
bignum256modm q3, r2;
uint128_t c, mul;
bignum256modm_element_t f, b, pb;
/* q1 = x >> 248 = 264 bits = 5 56 bit elements
q2 = mu * q1
q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */
mul64x64_128(c, modm_mu[0], q1[3]) mul64x64_128(mul, modm_mu[3], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[2]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[1]) add128(c, mul) shr128(f, c, 56);
mul64x64_128(c, modm_mu[0], q1[4]) add128_64(c, f) mul64x64_128(mul, modm_mu[4], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[1]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[2]) add128(c, mul)
f = lo128(c); q3[0] = (f >> 40) & 0xffff; shr128(f, c, 56);
mul64x64_128(c, modm_mu[4], q1[1]) add128_64(c, f) mul64x64_128(mul, modm_mu[1], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[2]) add128(c, mul)
f = lo128(c); q3[0] |= (f << 16) & 0xffffffffffffff; q3[1] = (f >> 40) & 0xffff; shr128(f, c, 56);
mul64x64_128(c, modm_mu[4], q1[2]) add128_64(c, f) mul64x64_128(mul, modm_mu[2], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[3]) add128(c, mul)
f = lo128(c); q3[1] |= (f << 16) & 0xffffffffffffff; q3[2] = (f >> 40) & 0xffff; shr128(f, c, 56);
mul64x64_128(c, modm_mu[4], q1[3]) add128_64(c, f) mul64x64_128(mul, modm_mu[3], q1[4]) add128(c, mul)
f = lo128(c); q3[2] |= (f << 16) & 0xffffffffffffff; q3[3] = (f >> 40) & 0xffff; shr128(f, c, 56);
mul64x64_128(c, modm_mu[4], q1[4]) add128_64(c, f)
f = lo128(c); q3[3] |= (f << 16) & 0xffffffffffffff; q3[4] = (f >> 40) & 0xffff; shr128(f, c, 56);
q3[4] |= (f << 16);
mul64x64_128(c, modm_m[0], q3[0])
r2[0] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, modm_m[0], q3[1]) add128_64(c, f) mul64x64_128(mul, modm_m[1], q3[0]) add128(c, mul)
r2[1] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, modm_m[0], q3[2]) add128_64(c, f) mul64x64_128(mul, modm_m[2], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[1]) add128(c, mul)
r2[2] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, modm_m[0], q3[3]) add128_64(c, f) mul64x64_128(mul, modm_m[3], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[2]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[1]) add128(c, mul)
r2[3] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, modm_m[0], q3[4]) add128_64(c, f) mul64x64_128(mul, modm_m[4], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[3], q3[1]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[3]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[2]) add128(c, mul)
r2[4] = lo128(c) & 0x0000ffffffffff;
pb = 0;
pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 56)); pb = b;
pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 56)); pb = b;
pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 56)); pb = b;
pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 56)); pb = b;
pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 40));
reduce256_modm(r);
reduce256_modm(r);
}
static void
add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
bignum256modm_element_t c;
c = x[0] + y[0]; r[0] = c & 0xffffffffffffff; c >>= 56;
c += x[1] + y[1]; r[1] = c & 0xffffffffffffff; c >>= 56;
c += x[2] + y[2]; r[2] = c & 0xffffffffffffff; c >>= 56;
c += x[3] + y[3]; r[3] = c & 0xffffffffffffff; c >>= 56;
c += x[4] + y[4]; r[4] = c;
reduce256_modm(r);
}
static void
mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) {
bignum256modm q1, r1;
uint128_t c, mul;
bignum256modm_element_t f;
mul64x64_128(c, x[0], y[0])
f = lo128(c); r1[0] = f & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, x[0], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[0]) add128(c, mul)
f = lo128(c); r1[1] = f & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, x[0], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[1]) add128(c, mul)
f = lo128(c); r1[2] = f & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, x[0], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[2]) add128(c, mul) mul64x64_128(mul, x[2], y[1]) add128(c, mul)
f = lo128(c); r1[3] = f & 0xffffffffffffff; shr128(f, c, 56);
mul64x64_128(c, x[0], y[4]) add128_64(c, f) mul64x64_128(mul, x[4], y[0]) add128(c, mul) mul64x64_128(mul, x[3], y[1]) add128(c, mul) mul64x64_128(mul, x[1], y[3]) add128(c, mul) mul64x64_128(mul, x[2], y[2]) add128(c, mul)
f = lo128(c); r1[4] = f & 0x0000ffffffffff; q1[0] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
mul64x64_128(c, x[4], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[4]) add128(c, mul) mul64x64_128(mul, x[2], y[3]) add128(c, mul) mul64x64_128(mul, x[3], y[2]) add128(c, mul)
f = lo128(c); q1[0] |= (f << 32) & 0xffffffffffffff; q1[1] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
mul64x64_128(c, x[4], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[4]) add128(c, mul) mul64x64_128(mul, x[3], y[3]) add128(c, mul)
f = lo128(c); q1[1] |= (f << 32) & 0xffffffffffffff; q1[2] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
mul64x64_128(c, x[4], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[4]) add128(c, mul)
f = lo128(c); q1[2] |= (f << 32) & 0xffffffffffffff; q1[3] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
mul64x64_128(c, x[4], y[4]) add128_64(c, f)
f = lo128(c); q1[3] |= (f << 32) & 0xffffffffffffff; q1[4] = (f >> 24) & 0xffffffff; shr128(f, c, 56);
q1[4] |= (f << 32);
barrett_reduce256_modm(r, q1, r1);
}
static void
expand256_modm(bignum256modm out, const unsigned char *in, size_t len) {
unsigned char work[64] = {0};
bignum256modm_element_t x[16];
bignum256modm q1;
memcpy(work, in, len);
x[0] = U8TO64_LE(work + 0);
x[1] = U8TO64_LE(work + 8);
x[2] = U8TO64_LE(work + 16);
x[3] = U8TO64_LE(work + 24);
x[4] = U8TO64_LE(work + 32);
x[5] = U8TO64_LE(work + 40);
x[6] = U8TO64_LE(work + 48);
x[7] = U8TO64_LE(work + 56);
/* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */
out[0] = ( x[0]) & 0xffffffffffffff;
out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff;
out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff;
out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff;
out[4] = ((x[ 3] >> 32) | (x[ 4] << 32)) & 0x0000ffffffffff;
/* under 252 bits, no need to reduce */
if (len < 32)
return;
/* q1 = x >> 248 = 264 bits */
q1[0] = ((x[ 3] >> 56) | (x[ 4] << 8)) & 0xffffffffffffff;
q1[1] = ((x[ 4] >> 48) | (x[ 5] << 16)) & 0xffffffffffffff;
q1[2] = ((x[ 5] >> 40) | (x[ 6] << 24)) & 0xffffffffffffff;
q1[3] = ((x[ 6] >> 32) | (x[ 7] << 32)) & 0xffffffffffffff;
q1[4] = ((x[ 7] >> 24) );
barrett_reduce256_modm(out, q1, out);
}
static void
expand_raw256_modm(bignum256modm out, const unsigned char in[32]) {
bignum256modm_element_t x[4];
x[0] = U8TO64_LE(in + 0);
x[1] = U8TO64_LE(in + 8);
x[2] = U8TO64_LE(in + 16);
x[3] = U8TO64_LE(in + 24);
out[0] = ( x[0]) & 0xffffffffffffff;
out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff;
out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff;
out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff;
out[4] = ((x[ 3] >> 32) ) & 0x000000ffffffff;
}
static void
contract256_modm(unsigned char out[32], const bignum256modm in) {
U64TO8_LE(out + 0, (in[0] ) | (in[1] << 56));
U64TO8_LE(out + 8, (in[1] >> 8) | (in[2] << 48));
U64TO8_LE(out + 16, (in[2] >> 16) | (in[3] << 40));
U64TO8_LE(out + 24, (in[3] >> 24) | (in[4] << 32));
}
static void
contract256_window4_modm(signed char r[64], const bignum256modm in) {
char carry;
signed char *quads = r;
bignum256modm_element_t i, j, v, m;
for (i = 0; i < 5; i++) {
v = in[i];
m = (i == 4) ? 8 : 14;
for (j = 0; j < m; j++) {
*quads++ = (v & 15);
v >>= 4;
}
}
/* making it signed */
carry = 0;
for(i = 0; i < 63; i++) {
r[i] += carry;
r[i+1] += (r[i] >> 4);
r[i] &= 15;
carry = (r[i] >> 3);
r[i] -= (carry << 4);
}
r[63] += carry;
}
static void
contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) {
int i,j,k,b;
int m = (1 << (windowsize - 1)) - 1, soplen = 256;
signed char *bits = r;
bignum256modm_element_t v;
/* first put the binary expansion into r */
for (i = 0; i < 4; i++) {
v = s[i];
for (j = 0; j < 56; j++, v >>= 1)
*bits++ = (v & 1);
}
v = s[4];
for (j = 0; j < 32; j++, v >>= 1)
*bits++ = (v & 1);
/* Making it sliding window */
for (j = 0; j < soplen; j++) {
if (!r[j])
continue;
for (b = 1; (b < (soplen - j)) && (b <= 6); b++) {
if ((r[j] + (r[j + b] << b)) <= m) {
r[j] += r[j + b] << b;
r[j + b] = 0;
} else if ((r[j] - (r[j + b] << b)) >= -m) {
r[j] -= r[j + b] << b;
for (k = j + b; k < soplen; k++) {
if (!r[k]) {
r[k] = 1;
break;
}
r[k] = 0;
}
} else if (r[j + b]) {
break;
}
}
}
}
/*
helpers for batch verifcation, are allowed to be vartime
*/
/* out = a - b, a must be larger than b */
static void
sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) {
size_t i = 0;
bignum256modm_element_t carry = 0;
switch (limbsize) {
case 4: out[i] = (a[i] - b[i]) ; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++;
case 0:
default: out[i] = (a[i] - b[i]) - carry;
}
}
/* is a < b */
static int
lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
size_t i = 0;
bignum256modm_element_t t, carry = 0;
switch (limbsize) {
case 4: t = (a[i] - b[i]) ; carry = (t >> 63); i++;
case 3: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
case 2: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
case 1: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++;
case 0: t = (a[i] - b[i]) - carry; carry = (t >> 63);
}
return (int)carry;
}
/* is a <= b */
static int
lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) {
size_t i = 0;
bignum256modm_element_t t, carry = 0;
switch (limbsize) {
case 4: t = (b[i] - a[i]) ; carry = (t >> 63); i++;
case 3: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
case 2: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
case 1: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++;
case 0: t = (b[i] - a[i]) - carry; carry = (t >> 63);
}
return (int)!carry;
}
/* is a == 0 */
static int
iszero256_modm_batch(const bignum256modm a) {
size_t i;
for (i = 0; i < 5; i++)
if (a[i])
return 0;
return 1;
}
/* is a == 1 */
static int
isone256_modm_batch(const bignum256modm a) {
size_t i;
for (i = 0; i < 5; i++)
if (a[i] != ((i) ? 0 : 1))
return 0;
return 1;
}
/* can a fit in to (at most) 128 bits */
static int
isatmost128bits256_modm_batch(const bignum256modm a) {
uint64_t mask =
((a[4] ) | /* 32 */
(a[3] ) | /* 88 */
(a[2] & 0xffffffffff0000));
return (mask == 0);
}

1024
external/ed25519-donna/regression.h vendored Normal file

File diff suppressed because it is too large Load Diff

176
external/ed25519-donna/test-internals.c vendored Normal file
View File

@@ -0,0 +1,176 @@
#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;
}

50
external/ed25519-donna/test-ticks.h vendored Normal file
View File

@@ -0,0 +1,50 @@
#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

260
external/ed25519-donna/test.c vendored Normal file
View File

@@ -0,0 +1,260 @@
/*
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. /** Verify an ECDSA signature.
* *
* Returns: 1: correct signature * Returns: 1: correct signature
* 0: incorrect or unparsable signature * 0: incorrect or unparseable signature
* Args: ctx: pointer to a context object * Args: ctx: pointer to a context object
* In: sig: the signature being verified. * In: sig: the signature being verified.
* msghash32: the 32-byte message hash being verified. * msghash32: the 32-byte message hash being verified.

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_ARCHIVE_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_ARCHIVE_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2018 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_ARCHIVE_H_INCLUDED
#define RIPPLE_BASICS_ARCHIVE_H_INCLUDED
#include <boost/filesystem.hpp> #include <boost/filesystem.hpp>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_BASICCONFIG_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_BASICCONFIG_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2013 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_BASICCONFIG_H_INCLUDED
#define RIPPLE_BASICS_BASICCONFIG_H_INCLUDED
#include <xrpl/basics/contract.h> #include <xrpl/basics/contract.h>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_BLOB_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_BLOB_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2013 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_BLOB_H_INCLUDED
#define RIPPLE_BASICS_BLOB_H_INCLUDED
#include <vector> #include <vector>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_BUFFER_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_BUFFER_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2013 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_BUFFER_H_INCLUDED
#define RIPPLE_BASICS_BUFFER_H_INCLUDED
#include <xrpl/basics/Slice.h> #include <xrpl/basics/Slice.h>
#include <xrpl/beast/utility/instrumentation.h> #include <xrpl/beast/utility/instrumentation.h>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_BYTEUTILITIES_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_BYTEUTILITIES_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2018 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_BYTEUTILITIES_H_INCLUDED
#define RIPPLE_BASICS_BYTEUTILITIES_H_INCLUDED
namespace ripple { namespace ripple {

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_COMPRESSIONALGORITHMS_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_COMPRESSIONALGORITHMS_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2020 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLED_COMPRESSIONALGORITHMS_H_INCLUDED
#define RIPPLED_COMPRESSIONALGORITHMS_H_INCLUDED
#include <xrpl/basics/contract.h> #include <xrpl/basics/contract.h>
@@ -146,4 +165,4 @@ lz4Decompress(
} // namespace ripple } // namespace ripple
#endif // XRPL_COMPRESSIONALGORITHMS_H_INCLUDED #endif // RIPPLED_COMPRESSIONALGORITHMS_H_INCLUDED

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_COUNTEDOBJECT_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_COUNTEDOBJECT_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2013 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_COUNTEDOBJECT_H_INCLUDED
#define RIPPLE_BASICS_COUNTEDOBJECT_H_INCLUDED
#include <xrpl/beast/type_name.h> #include <xrpl/beast/type_name.h>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_DECAYINGSAMPLE_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_DECAYINGSAMPLE_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2012, 2013 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_DECAYINGSAMPLE_H_INCLUDED
#define RIPPLE_BASICS_DECAYINGSAMPLE_H_INCLUDED
#include <chrono> #include <chrono>
#include <cmath> #include <cmath>

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_EXPECTED_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_EXPECTED_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2021 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_EXPECTED_H_INCLUDED
#define RIPPLE_BASICS_EXPECTED_H_INCLUDED
#include <xrpl/basics/contract.h> #include <xrpl/basics/contract.h>
@@ -234,4 +253,4 @@ public:
} // namespace ripple } // namespace ripple
#endif // XRPL_BASICS_EXPECTED_H_INCLUDED #endif // RIPPLE_BASICS_EXPECTED_H_INCLUDED

View File

@@ -1,5 +1,24 @@
#ifndef XRPL_BASICS_FILEUTILITIES_H_INCLUDED //------------------------------------------------------------------------------
#define XRPL_BASICS_FILEUTILITIES_H_INCLUDED /*
This file is part of rippled: https://github.com/ripple/rippled
Copyright (c) 2018 Ripple Labs Inc.
Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
ANY SPECIAL , DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================
#ifndef RIPPLE_BASICS_FILEUTILITIES_H_INCLUDED
#define RIPPLE_BASICS_FILEUTILITIES_H_INCLUDED
#include <boost/filesystem.hpp> #include <boost/filesystem.hpp>
#include <boost/system/error_code.hpp> #include <boost/system/error_code.hpp>

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