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authorPieter Wuille <pieter@wuille.net>2023-04-14 10:35:51 -0400
committerPieter Wuille <pieter@wuille.net>2023-04-14 10:35:51 -0400
commitc981671e9b206de4681a2e0d06996b800fcc985b (patch)
treecdde748a26bcebe89a68791964a811d9fe049d46
parent763079a3f1b937f54e3c2d4166d296f596f7be1b (diff)
downloadbitcoin-c981671e9b206de4681a2e0d06996b800fcc985b.tar.xz
Squashed 'src/secp256k1/' changes from bdf39000b9..4258c54f4e
4258c54f4e Merge bitcoin-core/secp256k1#1276: autotools: Don't regenerate Wycheproof header automatically 06c67dea9f autotools: Don't regenerate Wycheproof header automatically 3bab71cf05 Merge bitcoin-core/secp256k1#1268: release cleanup: bump version after 0.3.1 656c6ea8d8 release cleanup: bump version after 0.3.1 346a053d4c Merge bitcoin-core/secp256k1#1269: changelog: Fix link 6a37b2a5ea changelog: Fix link ec98fcedd5 Merge bitcoin-core/secp256k1#1266: release: Prepare for 0.3.1 898e1c676e release: Prepare for 0.3.1 1d9a13fc26 changelog: Remove inconsistent newlines 0e091669a1 changelog: Catch up in preparation of 0.3.1 7b7503dac5 Merge bitcoin-core/secp256k1#1245: tests: Add Wycheproof ECDSA vectors 145078c418 Merge bitcoin-core/secp256k1#1118: Add x-only ecmult_const version with x specified as n/d e5de454609 tests: Add Wycheproof ECDSA vectors 0f8642079b Add exhaustive tests for ecmult_const_xonly 4485926ace Add x-only ecmult_const version for x=n/d a0f4644f7e Merge bitcoin-core/secp256k1#1252: Make position of * in pointer declarations in include/ consistent 4e682626a3 Merge bitcoin-core/secp256k1#1226: Add CMake instructions to release process 2d51a454fc Merge bitcoin-core/secp256k1#1257: ct: Use volatile "trick" in all fe/scalar cmov implementations 4a496a36fb ct: Use volatile "trick" in all fe/scalar cmov implementations 3d1f430f9f Make position of * in pointer declarations in include/ consistent 2bca0a5cbf Merge bitcoin-core/secp256k1#1241: build: Improve `SECP_TRY_APPEND_DEFAULT_CFLAGS` macro afd8b23b27 Merge bitcoin-core/secp256k1#1244: Suppress `-Wunused-parameter` when building for coverage analysis 1d8f367515 Merge bitcoin-core/secp256k1#1250: No need to subtract 1 before doing a right shift 3e43041be6 No need to subtract 1 before doing a right shift 3addb4c1e8 build: Improve `SECP_TRY_APPEND_DEFAULT_CFLAGS` macro 0c07c82834 Add CMake instructions to release process 464a9115b4 Merge bitcoin-core/secp256k1#1242: Set ARM ASM symbol visibility to `hidden` f16a709fd6 Merge bitcoin-core/secp256k1#1247: Apply Checks only in VERIFY mode. 70be3cade5 Merge bitcoin-core/secp256k1#1246: Typo 4ebd82852d Apply Checks only in VERIFY mode. d1e7ca192d Typo 5bb03c2911 Replace `SECP256K1_ECMULT_TABLE_VERIFY` macro by a function 9c8c4f443c Merge bitcoin-core/secp256k1#1238: build: bump CMake minimum requirement to 3.13 0cf2fb91ef Merge bitcoin-core/secp256k1#1243: build: Ensure no optimization when building for coverage analysis fd2a408647 Set ARM ASM symbol visibility to `hidden` 4429a8c218 Suppress `-Wunused-parameter` when building for coverage analysis 8e79c7ed11 build: Ensure no optimization when building for coverage analysis 96dd062511 build: bump CMake minimum requirement to 3.13 427bc3cdcf Merge bitcoin-core/secp256k1#1236: Update comment for secp256k1_modinv32_inv256 647f0a5cb1 Update comment for secp256k1_modinv32_inv256 5658209459 Merge bitcoin-core/secp256k1#1228: release cleanup: bump version after 0.3.0 28e63f7ea7 release cleanup: bump version after 0.3.0 git-subtree-dir: src/secp256k1 git-subtree-split: 4258c54f4ebfc09390168e8a43306c46b315134b
-rw-r--r--CHANGELOG.md20
-rw-r--r--CMakeLists.txt13
-rw-r--r--Makefile.am17
-rwxr-xr-xci/cirrus.sh4
-rw-r--r--configure.ac28
-rw-r--r--doc/release-process.md15
-rw-r--r--include/secp256k1.h98
-rw-r--r--include/secp256k1_ecdh.h2
-rw-r--r--include/secp256k1_extrakeys.h30
-rw-r--r--include/secp256k1_preallocated.h14
-rw-r--r--include/secp256k1_recovery.h18
-rw-r--r--include/secp256k1_schnorrsig.h10
-rw-r--r--src/asm/field_10x26_arm.s2
-rw-r--r--src/ecmult_const.h21
-rw-r--r--src/ecmult_const_impl.h135
-rw-r--r--src/ecmult_impl.h17
-rw-r--r--src/field_10x26_impl.h10
-rw-r--r--src/field_5x52_impl.h6
-rw-r--r--src/int128_struct_impl.h2
-rw-r--r--src/modinv32_impl.h2
-rw-r--r--src/scalar_4x64_impl.h3
-rw-r--r--src/scalar_8x32_impl.h3
-rw-r--r--src/scalar_low_impl.h3
-rw-r--r--src/tests.c102
-rw-r--r--src/tests_exhaustive.c48
-rw-r--r--src/wycheproof/WYCHEPROOF_COPYING212
-rw-r--r--src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h1564
-rw-r--r--src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json6360
-rwxr-xr-xtools/tests_wycheproof_generate.py114
29 files changed, 8742 insertions, 131 deletions
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7f43843641..6d23662a93 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -7,6 +7,21 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
## [Unreleased]
+## [0.3.1] - 2023-04-10
+We strongly recommend updating to 0.3.1 if you use or plan to use Clang >=14 to compile libsecp256k1, e.g., Xcode >=14 on macOS has Clang >=14. When in doubt, check the Clang version using `clang -v`.
+
+#### Security
+ - Fix "constant-timeness" issue with Clang >=14 that could leave applications using libsecp256k1 vulnerable to a timing side-channel attack. The fix avoids secret-dependent control flow and secret-dependent memory accesses in conditional moves of memory objects when libsecp256k1 is compiled with Clang >=14.
+
+#### Added
+ - Added tests against [Project Wycheproof's](https://github.com/google/wycheproof/) set of ECDSA test vectors (Bitcoin "low-S" variant), a fixed set of test cases designed to trigger various edge cases.
+
+#### Changed
+ - Increased minimum required CMake version to 3.13. CMake builds remain experimental.
+
+#### ABI Compatibility
+The ABI is compatible with version 0.3.0.
+
## [0.3.0] - 2023-03-08
#### Added
@@ -25,7 +40,6 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
- Removed the configuration header `src/libsecp256k1-config.h`. We recommend passing flags to `./configure` or `cmake` to set configuration options (see `./configure --help` or `cmake -LH`). If you cannot or do not want to use one of the supported build systems, pass configuration flags such as `-DSECP256K1_ENABLE_MODULE_SCHNORRSIG` manually to the compiler (see the file `configure.ac` for supported flags).
#### ABI Compatibility
-
Due to changes in the API regarding `secp256k1_context_static` described above, the ABI is *not* compatible with previous versions.
## [0.2.0] - 2022-12-12
@@ -45,7 +59,6 @@ Due to changes in the API regarding `secp256k1_context_static` described above,
- Module `schnorrsig`: renamed `secp256k1_schnorrsig_sign` to `secp256k1_schnorrsig_sign32`.
#### ABI Compatibility
-
Since this is the first release, we do not compare application binary interfaces.
However, there are earlier unreleased versions of libsecp256k1 that are *not* ABI compatible with this version.
@@ -55,7 +68,8 @@ This version was in fact never released.
The number was given by the build system since the introduction of autotools in Jan 2014 (ea0fe5a5bf0c04f9cc955b2966b614f5f378c6f6).
Therefore, this version number does not uniquely identify a set of source files.
-[unreleased]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.0...HEAD
+[unreleased]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.1...HEAD
+[0.3.1]: https://github.com/bitcoin-core/secp256k1/compare/v0.3.0...v0.3.1
[0.3.0]: https://github.com/bitcoin-core/secp256k1/compare/v0.2.0...v0.3.0
[0.2.0]: https://github.com/bitcoin-core/secp256k1/compare/423b6d19d373f1224fd671a982584d7e7900bc93..v0.2.0
[0.1.0]: https://github.com/bitcoin-core/secp256k1/commit/423b6d19d373f1224fd671a982584d7e7900bc93
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 5c8aad6fcc..a70165e356 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1,4 +1,4 @@
-cmake_minimum_required(VERSION 3.1)
+cmake_minimum_required(VERSION 3.13)
if(CMAKE_VERSION VERSION_GREATER 3.14)
# MSVC runtime library flags are selected by the CMAKE_MSVC_RUNTIME_LIBRARY abstraction.
@@ -10,7 +10,7 @@ endif()
# The package (a.k.a. release) version is based on semantic versioning 2.0.0 of
# the API. All changes in experimental modules are treated as
# backwards-compatible and therefore at most increase the minor version.
-project(libsecp256k1 VERSION 0.3.0 LANGUAGES C)
+project(libsecp256k1 VERSION 0.3.2 LANGUAGES C)
# The library version is based on libtool versioning of the ABI. The set of
# rules for updating the version can be found here:
@@ -18,7 +18,7 @@ project(libsecp256k1 VERSION 0.3.0 LANGUAGES C)
# All changes in experimental modules are treated as if they don't affect the
# interface and therefore only increase the revision.
set(${PROJECT_NAME}_LIB_VERSION_CURRENT 2)
-set(${PROJECT_NAME}_LIB_VERSION_REVISION 0)
+set(${PROJECT_NAME}_LIB_VERSION_REVISION 2)
set(${PROJECT_NAME}_LIB_VERSION_AGE 0)
set(CMAKE_C_STANDARD 90)
@@ -147,7 +147,7 @@ else()
endif()
# Define custom "Coverage" build type.
-set(CMAKE_C_FLAGS_COVERAGE "${CMAKE_C_FLAGS_RELWITHDEBINFO} -O0 -DCOVERAGE=1 --coverage -Wno-unused-parameter" CACHE STRING
+set(CMAKE_C_FLAGS_COVERAGE "${CMAKE_C_FLAGS_RELWITHDEBINFO} -O0 -DCOVERAGE=1 --coverage" CACHE STRING
"Flags used by the C compiler during \"Coverage\" builds."
FORCE
)
@@ -203,11 +203,6 @@ else()
try_add_compile_option(-Wundef)
endif()
-if(CMAKE_VERSION VERSION_GREATER 3.2)
- # Honor visibility properties for all target types.
- # See: https://cmake.org/cmake/help/latest/policy/CMP0063.html
- cmake_policy(SET CMP0063 NEW)
-endif()
set(CMAKE_C_VISIBILITY_PRESET hidden)
# Ask CTest to create a "check" target (e.g., make check) as alias for the "test" target.
diff --git a/Makefile.am b/Makefile.am
index e3fdf4da27..36e26e3e8a 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -247,3 +247,20 @@ endif
if ENABLE_MODULE_SCHNORRSIG
include src/modules/schnorrsig/Makefile.am.include
endif
+
+EXTRA_DIST += src/wycheproof/WYCHEPROOF_COPYING
+EXTRA_DIST += src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
+EXTRA_DIST += src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
+EXTRA_DIST += tools/tests_wycheproof_generate.py
+
+TESTVECTORS = src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
+
+src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h:
+ python3 tools/tests_wycheproof_generate.py src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json > $@
+
+testvectors: $(TESTVECTORS)
+
+maintainer-clean-testvectors: clean-testvectors
+
+clean-testvectors:
+ rm -f $(TESTVECTORS)
diff --git a/ci/cirrus.sh b/ci/cirrus.sh
index 8495c39203..b2af03bb5d 100755
--- a/ci/cirrus.sh
+++ b/ci/cirrus.sh
@@ -109,8 +109,8 @@ fi
# Rebuild precomputed files (if not cross-compiling).
if [ -z "$HOST" ]
then
- make clean-precomp
- make precomp
+ make clean-precomp clean-testvectors
+ make precomp testvectors
fi
# Check that no repo files have been modified by the build.
diff --git a/configure.ac b/configure.ac
index a46a0a7be3..0b555eac67 100644
--- a/configure.ac
+++ b/configure.ac
@@ -5,8 +5,8 @@ AC_PREREQ([2.60])
# backwards-compatible and therefore at most increase the minor version.
define(_PKG_VERSION_MAJOR, 0)
define(_PKG_VERSION_MINOR, 3)
-define(_PKG_VERSION_PATCH, 0)
-define(_PKG_VERSION_IS_RELEASE, true)
+define(_PKG_VERSION_PATCH, 2)
+define(_PKG_VERSION_IS_RELEASE, false)
# The library version is based on libtool versioning of the ABI. The set of
# rules for updating the version can be found here:
@@ -14,7 +14,7 @@ define(_PKG_VERSION_IS_RELEASE, true)
# All changes in experimental modules are treated as if they don't affect the
# interface and therefore only increase the revision.
define(_LIB_VERSION_CURRENT, 2)
-define(_LIB_VERSION_REVISION, 0)
+define(_LIB_VERSION_REVISION, 2)
define(_LIB_VERSION_AGE, 0)
AC_INIT([libsecp256k1],m4_join([.], _PKG_VERSION_MAJOR, _PKG_VERSION_MINOR, _PKG_VERSION_PATCH)m4_if(_PKG_VERSION_IS_RELEASE, [true], [], [-dev]),[https://github.com/bitcoin-core/secp256k1/issues],[libsecp256k1],[https://github.com/bitcoin-core/secp256k1])
@@ -29,6 +29,11 @@ AM_INIT_AUTOMAKE([1.11.2 foreign subdir-objects])
# Make the compilation flags quiet unless V=1 is used.
m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
+if test "${CFLAGS+set}" = "set"; then
+ CFLAGS_overridden=yes
+else
+ CFLAGS_overridden=no
+fi
AC_PROG_CC
AM_PROG_AS
AM_PROG_AR
@@ -88,11 +93,14 @@ esac
AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [
# GCC and compatible (incl. clang)
if test "x$GCC" = "xyes"; then
- # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will
- # not error out if it gets unknown warning flags and the checks here will always succeed
- # no matter if clang knows the flag or not.
+ # Try to append -Werror to CFLAGS temporarily. Otherwise checks for some unsupported
+ # flags will succeed.
+ # Note that failure to append -Werror does not necessarily mean that -Werror is not
+ # supported. The compiler may already be warning about something unrelated, for example
+ # about some path issue. If that is the case, -Werror cannot be used because all
+ # of those warnings would be turned into errors.
SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS"
- SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS)
+ SECP_TRY_APPEND_CFLAGS([-Werror], CFLAGS)
SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic.
SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic.
@@ -241,6 +249,12 @@ fi
if test x"$enable_coverage" = x"yes"; then
SECP_CONFIG_DEFINES="$SECP_CONFIG_DEFINES -DCOVERAGE=1"
SECP_CFLAGS="-O0 --coverage $SECP_CFLAGS"
+ # If coverage is enabled, and the user has not overridden CFLAGS,
+ # override Autoconf's value "-g -O2" with "-g". Otherwise we'd end up
+ # with "-O0 --coverage -g -O2".
+ if test "$CFLAGS_overridden" = "no"; then
+ CFLAGS="-g"
+ fi
LDFLAGS="--coverage $LDFLAGS"
else
# Most likely the CFLAGS already contain -O2 because that is autoconf's default.
diff --git a/doc/release-process.md b/doc/release-process.md
index b522f89657..70a35f0910 100644
--- a/doc/release-process.md
+++ b/doc/release-process.md
@@ -15,15 +15,20 @@ This process also assumes that there will be no minor releases for old major rel
## Regular release
1. Open a PR to the master branch with a commit (using message `"release: prepare for $MAJOR.$MINOR.$PATCH"`, for example) that
- * finalizes the release notes in [CHANGELOG.md](../CHANGELOG.md) (make sure to include an entry for `### ABI Compatibility`) and
- * updates `_PKG_VERSION_*`, `_LIB_VERSION_*`, and sets `_PKG_VERSION_IS_RELEASE` to `true` in `configure.ac`.
+ * finalizes the release notes in [CHANGELOG.md](../CHANGELOG.md) (make sure to include an entry for `### ABI Compatibility`),
+ * updates `_PKG_VERSION_*` and `_LIB_VERSION_*` and sets `_PKG_VERSION_IS_RELEASE` to `true` in `configure.ac`, and
+ * updates `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_*` in `CMakeLists.txt`.
2. After the PR is merged, tag the commit and push it:
```
RELEASE_COMMIT=<merge commit of step 1>
git tag -s v$MAJOR.$MINOR.$PATCH -m "libsecp256k1 $MAJOR.$MINOR.$PATCH" $RELEASE_COMMIT
git push git@github.com:bitcoin-core/secp256k1.git v$MAJOR.$MINOR.$PATCH
```
-3. Open a PR to the master branch with a commit (using message `"release cleanup: bump version after $MAJOR.$MINOR.$PATCH"`, for example) that sets `_PKG_VERSION_IS_RELEASE` to `false` and `_PKG_VERSION_PATCH` to `$PATCH + 1` and increases `_LIB_VERSION_REVISION`. If other maintainers are not present to approve the PR, it can be merged without ACKs.
+3. Open a PR to the master branch with a commit (using message `"release cleanup: bump version after $MAJOR.$MINOR.$PATCH"`, for example) that
+ * sets `_PKG_VERSION_IS_RELEASE` to `false` and increments `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac`, and
+ * increments the `$PATCH` component of `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_REVISION` in `CMakeLists.txt`.
+
+ If other maintainers are not present to approve the PR, it can be merged without ACKs.
4. Create a new GitHub release with a link to the corresponding entry in [CHANGELOG.md](../CHANGELOG.md).
## Maintenance release
@@ -38,7 +43,9 @@ Note that bugfixes only need to be backported to releases for which no compatibl
2. Open a pull request to the `$MAJOR.$MINOR` branch that
* includes the bugfixes,
* finalizes the release notes,
- * bumps `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac` (with commit message `"release: update PKG_ and LIB_VERSION for $MAJOR.$MINOR.$PATCH"`, for example).
+ * increments `_PKG_VERSION_PATCH` and `_LIB_VERSION_REVISION` in `configure.ac`
+ and the `$PATCH` component of `project(libsecp256k1 VERSION ...)` and `${PROJECT_NAME}_LIB_VERSION_REVISION` in `CMakeLists.txt`
+ (with commit message `"release: bump versions for $MAJOR.$MINOR.$PATCH"`, for example).
3. After the PRs are merged, update the release branch and tag the commit:
```
git checkout $MAJOR.$MINOR && git pull
diff --git a/include/secp256k1.h b/include/secp256k1.h
index 325f35eb04..4ce3e500ba 100644
--- a/include/secp256k1.h
+++ b/include/secp256k1.h
@@ -288,7 +288,7 @@ SECP256K1_API void secp256k1_selftest(void);
* Do not create a new context object for each operation, as construction and
* randomization can take non-negligible time.
*/
-SECP256K1_API secp256k1_context* secp256k1_context_create(
+SECP256K1_API secp256k1_context *secp256k1_context_create(
unsigned int flags
) SECP256K1_WARN_UNUSED_RESULT;
@@ -304,8 +304,8 @@ SECP256K1_API secp256k1_context* secp256k1_context_create(
* Returns: a newly created context object.
* Args: ctx: an existing context to copy (not secp256k1_context_static)
*/
-SECP256K1_API secp256k1_context* secp256k1_context_clone(
- const secp256k1_context* ctx
+SECP256K1_API secp256k1_context *secp256k1_context_clone(
+ const secp256k1_context *ctx
) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT;
/** Destroy a secp256k1 context object (created in dynamically allocated memory).
@@ -323,7 +323,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_clone(
* (i.e., not secp256k1_context_static).
*/
SECP256K1_API void secp256k1_context_destroy(
- secp256k1_context* ctx
+ secp256k1_context *ctx
) SECP256K1_ARG_NONNULL(1);
/** Set a callback function to be called when an illegal argument is passed to
@@ -347,8 +347,8 @@ SECP256K1_API void secp256k1_context_destroy(
* USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build
* has been configured with --enable-external-default-callbacks. Then the
* following two symbols must be provided to link against:
- * - void secp256k1_default_illegal_callback_fn(const char* message, void* data);
- * - void secp256k1_default_error_callback_fn(const char* message, void* data);
+ * - void secp256k1_default_illegal_callback_fn(const char *message, void *data);
+ * - void secp256k1_default_error_callback_fn(const char *message, void *data);
* The library can call these default handlers even before a proper callback data
* pointer could have been set using secp256k1_context_set_illegal_callback or
* secp256k1_context_set_error_callback, e.g., when the creation of a context
@@ -364,9 +364,9 @@ SECP256K1_API void secp256k1_context_destroy(
* See also secp256k1_context_set_error_callback.
*/
SECP256K1_API void secp256k1_context_set_illegal_callback(
- secp256k1_context* ctx,
- void (*fun)(const char* message, void* data),
- const void* data
+ secp256k1_context *ctx,
+ void (*fun)(const char *message, void *data),
+ const void *data
) SECP256K1_ARG_NONNULL(1);
/** Set a callback function to be called when an internal consistency check
@@ -392,9 +392,9 @@ SECP256K1_API void secp256k1_context_set_illegal_callback(
* See also secp256k1_context_set_illegal_callback.
*/
SECP256K1_API void secp256k1_context_set_error_callback(
- secp256k1_context* ctx,
- void (*fun)(const char* message, void* data),
- const void* data
+ secp256k1_context *ctx,
+ void (*fun)(const char *message, void *data),
+ const void *data
) SECP256K1_ARG_NONNULL(1);
/** Create a secp256k1 scratch space object.
@@ -404,8 +404,8 @@ SECP256K1_API void secp256k1_context_set_error_callback(
* In: size: amount of memory to be available as scratch space. Some extra
* (<100 bytes) will be allocated for extra accounting.
*/
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space* secp256k1_scratch_space_create(
- const secp256k1_context* ctx,
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space *secp256k1_scratch_space_create(
+ const secp256k1_context *ctx,
size_t size
) SECP256K1_ARG_NONNULL(1);
@@ -416,8 +416,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space* secp256k1_sc
* scratch: space to destroy
*/
SECP256K1_API void secp256k1_scratch_space_destroy(
- const secp256k1_context* ctx,
- secp256k1_scratch_space* scratch
+ const secp256k1_context *ctx,
+ secp256k1_scratch_space *scratch
) SECP256K1_ARG_NONNULL(1);
/** Parse a variable-length public key into the pubkey object.
@@ -435,8 +435,8 @@ SECP256K1_API void secp256k1_scratch_space_destroy(
* byte 0x06 or 0x07) format public keys.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse(
- const secp256k1_context* ctx,
- secp256k1_pubkey* pubkey,
+ const secp256k1_context *ctx,
+ secp256k1_pubkey *pubkey,
const unsigned char *input,
size_t inputlen
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -457,10 +457,10 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse(
* compressed format, otherwise SECP256K1_EC_UNCOMPRESSED.
*/
SECP256K1_API int secp256k1_ec_pubkey_serialize(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output,
size_t *outputlen,
- const secp256k1_pubkey* pubkey,
+ const secp256k1_pubkey *pubkey,
unsigned int flags
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
@@ -474,9 +474,9 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize(
* pubkey2: second public key to compare
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp(
- const secp256k1_context* ctx,
- const secp256k1_pubkey* pubkey1,
- const secp256k1_pubkey* pubkey2
+ const secp256k1_context *ctx,
+ const secp256k1_pubkey *pubkey1,
+ const secp256k1_pubkey *pubkey2
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Parse an ECDSA signature in compact (64 bytes) format.
@@ -495,8 +495,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp(
* any message and public key.
*/
SECP256K1_API int secp256k1_ecdsa_signature_parse_compact(
- const secp256k1_context* ctx,
- secp256k1_ecdsa_signature* sig,
+ const secp256k1_context *ctx,
+ secp256k1_ecdsa_signature *sig,
const unsigned char *input64
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -516,8 +516,8 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact(
* guaranteed to fail for every message and public key.
*/
SECP256K1_API int secp256k1_ecdsa_signature_parse_der(
- const secp256k1_context* ctx,
- secp256k1_ecdsa_signature* sig,
+ const secp256k1_context *ctx,
+ secp256k1_ecdsa_signature *sig,
const unsigned char *input,
size_t inputlen
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -534,10 +534,10 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_der(
* In: sig: a pointer to an initialized signature object
*/
SECP256K1_API int secp256k1_ecdsa_signature_serialize_der(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output,
size_t *outputlen,
- const secp256k1_ecdsa_signature* sig
+ const secp256k1_ecdsa_signature *sig
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
/** Serialize an ECDSA signature in compact (64 byte) format.
@@ -550,9 +550,9 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_der(
* See secp256k1_ecdsa_signature_parse_compact for details about the encoding.
*/
SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output64,
- const secp256k1_ecdsa_signature* sig
+ const secp256k1_ecdsa_signature *sig
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Verify an ECDSA signature.
@@ -581,7 +581,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
* For details, see the comments for that function.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
const secp256k1_ecdsa_signature *sig,
const unsigned char *msghash32,
const secp256k1_pubkey *pubkey
@@ -629,7 +629,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
* secp256k1_ecdsa_signature_normalize must be called before verification.
*/
SECP256K1_API int secp256k1_ecdsa_signature_normalize(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_ecdsa_signature *sigout,
const secp256k1_ecdsa_signature *sigin
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3);
@@ -662,7 +662,7 @@ SECP256K1_API_VAR const secp256k1_nonce_function secp256k1_nonce_function_defaul
* secp256k1_ecdsa_signature_normalize for more details.
*/
SECP256K1_API int secp256k1_ecdsa_sign(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_ecdsa_signature *sig,
const unsigned char *msghash32,
const unsigned char *seckey,
@@ -683,7 +683,7 @@ SECP256K1_API int secp256k1_ecdsa_sign(
* In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
const unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
@@ -696,7 +696,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
* In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey,
const unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -712,14 +712,14 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
* seckey will be set to some unspecified value.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
/** Same as secp256k1_ec_seckey_negate, but DEPRECATED. Will be removed in
* future versions. */
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2)
SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_negate instead");
@@ -731,7 +731,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
* In/Out: pubkey: pointer to the public key to be negated.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
@@ -751,7 +751,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
* is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -759,7 +759,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
/** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in
* future versions. */
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
@@ -779,7 +779,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
* is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -798,7 +798,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add(
* is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -806,7 +806,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
/** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in
* future versions. */
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
@@ -824,7 +824,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul(
* is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -862,7 +862,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul(
* enhanced protection against side-channel leakage currently.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize(
- secp256k1_context* ctx,
+ secp256k1_context *ctx,
const unsigned char *seed32
) SECP256K1_ARG_NONNULL(1);
@@ -876,9 +876,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize(
* n: the number of public keys to add together (must be at least 1).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *out,
- const secp256k1_pubkey * const * ins,
+ const secp256k1_pubkey * const *ins,
size_t n
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -899,7 +899,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine(
* msglen: length of the message array
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *hash32,
const unsigned char *tag,
size_t taglen,
diff --git a/include/secp256k1_ecdh.h b/include/secp256k1_ecdh.h
index 625061b282..837ae2abe5 100644
--- a/include/secp256k1_ecdh.h
+++ b/include/secp256k1_ecdh.h
@@ -48,7 +48,7 @@ SECP256K1_API_VAR const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_functio
* (can be NULL for secp256k1_ecdh_hash_function_sha256).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output,
const secp256k1_pubkey *pubkey,
const unsigned char *seckey,
diff --git a/include/secp256k1_extrakeys.h b/include/secp256k1_extrakeys.h
index 3591bc0012..52bba240b4 100644
--- a/include/secp256k1_extrakeys.h
+++ b/include/secp256k1_extrakeys.h
@@ -45,8 +45,8 @@ typedef struct {
* In: input32: pointer to a serialized xonly_pubkey.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse(
- const secp256k1_context* ctx,
- secp256k1_xonly_pubkey* pubkey,
+ const secp256k1_context *ctx,
+ secp256k1_xonly_pubkey *pubkey,
const unsigned char *input32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -59,9 +59,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse(
* In: pubkey: a pointer to a secp256k1_xonly_pubkey containing an initialized public key.
*/
SECP256K1_API int secp256k1_xonly_pubkey_serialize(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output32,
- const secp256k1_xonly_pubkey* pubkey
+ const secp256k1_xonly_pubkey *pubkey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Compare two x-only public keys using lexicographic order
@@ -74,9 +74,9 @@ SECP256K1_API int secp256k1_xonly_pubkey_serialize(
* pubkey2: second public key to compare
*/
SECP256K1_API int secp256k1_xonly_pubkey_cmp(
- const secp256k1_context* ctx,
- const secp256k1_xonly_pubkey* pk1,
- const secp256k1_xonly_pubkey* pk2
+ const secp256k1_context *ctx,
+ const secp256k1_xonly_pubkey *pk1,
+ const secp256k1_xonly_pubkey *pk2
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Converts a secp256k1_pubkey into a secp256k1_xonly_pubkey.
@@ -91,7 +91,7 @@ SECP256K1_API int secp256k1_xonly_pubkey_cmp(
* In: pubkey: pointer to a public key that is converted.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubkey(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_xonly_pubkey *xonly_pubkey,
int *pk_parity,
const secp256k1_pubkey *pubkey
@@ -118,7 +118,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubke
* chance of being invalid is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *output_pubkey,
const secp256k1_xonly_pubkey *internal_pubkey,
const unsigned char *tweak32
@@ -148,7 +148,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add(
* tweak32: pointer to a 32-byte tweak.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_check(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
const unsigned char *tweaked_pubkey32,
int tweaked_pk_parity,
const secp256k1_xonly_pubkey *internal_pubkey,
@@ -164,7 +164,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_
* In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_keypair *keypair,
const unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -177,7 +177,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create(
* In: keypair: pointer to a keypair.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *seckey,
const secp256k1_keypair *keypair
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -191,7 +191,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec(
* In: keypair: pointer to a keypair.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey,
const secp256k1_keypair *keypair
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -211,7 +211,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub(
* In: keypair: pointer to a keypair.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_xonly_pubkey *pubkey,
int *pk_parity,
const secp256k1_keypair *keypair
@@ -237,7 +237,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub(
* is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_tweak_add(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_keypair *keypair,
const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
diff --git a/include/secp256k1_preallocated.h b/include/secp256k1_preallocated.h
index ffa96dd339..f37744777b 100644
--- a/include/secp256k1_preallocated.h
+++ b/include/secp256k1_preallocated.h
@@ -63,8 +63,8 @@ SECP256K1_API size_t secp256k1_context_preallocated_size(
* See also secp256k1_context_randomize (in secp256k1.h)
* and secp256k1_context_preallocated_destroy.
*/
-SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create(
- void* prealloc,
+SECP256K1_API secp256k1_context *secp256k1_context_preallocated_create(
+ void *prealloc,
unsigned int flags
) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT;
@@ -75,7 +75,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create(
* In: ctx: an existing context to copy.
*/
SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
- const secp256k1_context* ctx
+ const secp256k1_context *ctx
) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT;
/** Copy a secp256k1 context object into caller-provided memory.
@@ -97,9 +97,9 @@ SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
* size at least secp256k1_context_preallocated_size(flags)
* bytes, as detailed above.
*/
-SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
- const secp256k1_context* ctx,
- void* prealloc
+SECP256K1_API secp256k1_context *secp256k1_context_preallocated_clone(
+ const secp256k1_context *ctx,
+ void *prealloc
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_WARN_UNUSED_RESULT;
/** Destroy a secp256k1 context object that has been created in
@@ -124,7 +124,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
* (i.e., not secp256k1_context_static).
*/
SECP256K1_API void secp256k1_context_preallocated_destroy(
- secp256k1_context* ctx
+ secp256k1_context *ctx
) SECP256K1_ARG_NONNULL(1);
#ifdef __cplusplus
diff --git a/include/secp256k1_recovery.h b/include/secp256k1_recovery.h
index 824c604025..b12ca4d972 100644
--- a/include/secp256k1_recovery.h
+++ b/include/secp256k1_recovery.h
@@ -34,8 +34,8 @@ typedef struct {
* recid: the recovery id (0, 1, 2 or 3)
*/
SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact(
- const secp256k1_context* ctx,
- secp256k1_ecdsa_recoverable_signature* sig,
+ const secp256k1_context *ctx,
+ secp256k1_ecdsa_recoverable_signature *sig,
const unsigned char *input64,
int recid
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
@@ -48,9 +48,9 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact(
* In: sigin: a pointer to a recoverable signature.
*/
SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
- const secp256k1_context* ctx,
- secp256k1_ecdsa_signature* sig,
- const secp256k1_ecdsa_recoverable_signature* sigin
+ const secp256k1_context *ctx,
+ secp256k1_ecdsa_signature *sig,
+ const secp256k1_ecdsa_recoverable_signature *sigin
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Serialize an ECDSA signature in compact format (64 bytes + recovery id).
@@ -62,10 +62,10 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
* In: sig: a pointer to an initialized signature object.
*/
SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *output64,
int *recid,
- const secp256k1_ecdsa_recoverable_signature* sig
+ const secp256k1_ecdsa_recoverable_signature *sig
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
/** Create a recoverable ECDSA signature.
@@ -82,7 +82,7 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
* (can be NULL for secp256k1_nonce_function_default).
*/
SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_ecdsa_recoverable_signature *sig,
const unsigned char *msghash32,
const unsigned char *seckey,
@@ -100,7 +100,7 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
* msghash32: the 32-byte message hash assumed to be signed.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_recover(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
secp256k1_pubkey *pubkey,
const secp256k1_ecdsa_recoverable_signature *sig,
const unsigned char *msghash32
diff --git a/include/secp256k1_schnorrsig.h b/include/secp256k1_schnorrsig.h
index 4cd2d98256..733fee5282 100644
--- a/include/secp256k1_schnorrsig.h
+++ b/include/secp256k1_schnorrsig.h
@@ -82,7 +82,7 @@ SECP256K1_API_VAR const secp256k1_nonce_function_hardened secp256k1_nonce_functi
typedef struct {
unsigned char magic[4];
secp256k1_nonce_function_hardened noncefp;
- void* ndata;
+ void *ndata;
} secp256k1_schnorrsig_extraparams;
#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC { 0xda, 0x6f, 0xb3, 0x8c }
@@ -117,7 +117,7 @@ typedef struct {
* argument and for guidance if randomness is expensive.
*/
SECP256K1_API int secp256k1_schnorrsig_sign32(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *sig64,
const unsigned char *msg32,
const secp256k1_keypair *keypair,
@@ -127,7 +127,7 @@ SECP256K1_API int secp256k1_schnorrsig_sign32(
/** Same as secp256k1_schnorrsig_sign32, but DEPRECATED. Will be removed in
* future versions. */
SECP256K1_API int secp256k1_schnorrsig_sign(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *sig64,
const unsigned char *msg32,
const secp256k1_keypair *keypair,
@@ -149,7 +149,7 @@ SECP256K1_API int secp256k1_schnorrsig_sign(
* extraparams: pointer to a extraparams object (can be NULL)
*/
SECP256K1_API int secp256k1_schnorrsig_sign_custom(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
unsigned char *sig64,
const unsigned char *msg,
size_t msglen,
@@ -168,7 +168,7 @@ SECP256K1_API int secp256k1_schnorrsig_sign_custom(
* pubkey: pointer to an x-only public key to verify with (cannot be NULL)
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify(
- const secp256k1_context* ctx,
+ const secp256k1_context *ctx,
const unsigned char *sig64,
const unsigned char *msg,
size_t msglen,
diff --git a/src/asm/field_10x26_arm.s b/src/asm/field_10x26_arm.s
index 5f68cefc46..42cbf879ef 100644
--- a/src/asm/field_10x26_arm.s
+++ b/src/asm/field_10x26_arm.s
@@ -29,6 +29,7 @@ Note:
.align 2
.global secp256k1_fe_mul_inner
.type secp256k1_fe_mul_inner, %function
+ .hidden secp256k1_fe_mul_inner
@ Arguments:
@ r0 r Restrict: can overlap with a, not with b
@ r1 a
@@ -516,6 +517,7 @@ secp256k1_fe_mul_inner:
.align 2
.global secp256k1_fe_sqr_inner
.type secp256k1_fe_sqr_inner, %function
+ .hidden secp256k1_fe_sqr_inner
@ Arguments:
@ r0 r Can overlap with a
@ r1 a
diff --git a/src/ecmult_const.h b/src/ecmult_const.h
index f891f3f306..417f328535 100644
--- a/src/ecmult_const.h
+++ b/src/ecmult_const.h
@@ -18,4 +18,25 @@
*/
static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits);
+/**
+ * Same as secp256k1_ecmult_const, but takes in an x coordinate of the base point
+ * only, specified as fraction n/d (numerator/denominator). Only the x coordinate of the result is
+ * returned.
+ *
+ * If known_on_curve is 0, a verification is performed that n/d is a valid X
+ * coordinate, and 0 is returned if not. Otherwise, 1 is returned.
+ *
+ * d being NULL is interpreted as d=1. If non-NULL, d must not be zero. q must not be zero.
+ *
+ * Constant time in the value of q, but not any other inputs.
+ */
+static int secp256k1_ecmult_const_xonly(
+ secp256k1_fe *r,
+ const secp256k1_fe *n,
+ const secp256k1_fe *d,
+ const secp256k1_scalar *q,
+ int bits,
+ int known_on_curve
+);
+
#endif /* SECP256K1_ECMULT_CONST_H */
diff --git a/src/ecmult_const_impl.h b/src/ecmult_const_impl.h
index 12dbcc6c5b..f23e0ec89d 100644
--- a/src/ecmult_const_impl.h
+++ b/src/ecmult_const_impl.h
@@ -228,4 +228,139 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
secp256k1_fe_mul(&r->z, &r->z, &Z);
}
+static int secp256k1_ecmult_const_xonly(secp256k1_fe* r, const secp256k1_fe *n, const secp256k1_fe *d, const secp256k1_scalar *q, int bits, int known_on_curve) {
+
+ /* This algorithm is a generalization of Peter Dettman's technique for
+ * avoiding the square root in a random-basepoint x-only multiplication
+ * on a Weierstrass curve:
+ * https://mailarchive.ietf.org/arch/msg/cfrg/7DyYY6gg32wDgHAhgSb6XxMDlJA/
+ *
+ *
+ * === Background: the effective affine technique ===
+ *
+ * Let phi_u be the isomorphism that maps (x, y) on secp256k1 curve y^2 = x^3 + 7 to
+ * x' = u^2*x, y' = u^3*y on curve y'^2 = x'^3 + u^6*7. This new curve has the same order as
+ * the original (it is isomorphic), but moreover, has the same addition/doubling formulas, as
+ * the curve b=7 coefficient does not appear in those formulas (or at least does not appear in
+ * the formulas implemented in this codebase, both affine and Jacobian). See also Example 9.5.2
+ * in https://www.math.auckland.ac.nz/~sgal018/crypto-book/ch9.pdf.
+ *
+ * This means any linear combination of secp256k1 points can be computed by applying phi_u
+ * (with non-zero u) on all input points (including the generator, if used), computing the
+ * linear combination on the isomorphic curve (using the same group laws), and then applying
+ * phi_u^{-1} to get back to secp256k1.
+ *
+ * Switching to Jacobian coordinates, note that phi_u applied to (X, Y, Z) is simply
+ * (X, Y, Z/u). Thus, if we want to compute (X1, Y1, Z) + (X2, Y2, Z), with identical Z
+ * coordinates, we can use phi_Z to transform it to (X1, Y1, 1) + (X2, Y2, 1) on an isomorphic
+ * curve where the affine addition formula can be used instead.
+ * If (X3, Y3, Z3) = (X1, Y1) + (X2, Y2) on that curve, then our answer on secp256k1 is
+ * (X3, Y3, Z3*Z).
+ *
+ * This is the effective affine technique: if we have a linear combination of group elements
+ * to compute, and all those group elements have the same Z coordinate, we can simply pretend
+ * that all those Z coordinates are 1, perform the computation that way, and then multiply the
+ * original Z coordinate back in.
+ *
+ * The technique works on any a=0 short Weierstrass curve. It is possible to generalize it to
+ * other curves too, but there the isomorphic curves will have different 'a' coefficients,
+ * which typically does affect the group laws.
+ *
+ *
+ * === Avoiding the square root for x-only point multiplication ===
+ *
+ * In this function, we want to compute the X coordinate of q*(n/d, y), for
+ * y = sqrt((n/d)^3 + 7). Its negation would also be a valid Y coordinate, but by convention
+ * we pick whatever sqrt returns (which we assume to be a deterministic function).
+ *
+ * Let g = y^2*d^3 = n^3 + 7*d^3. This also means y = sqrt(g/d^3).
+ * Further let v = sqrt(d*g), which must exist as d*g = y^2*d^4 = (y*d^2)^2.
+ *
+ * The input point (n/d, y) also has Jacobian coordinates:
+ *
+ * (n/d, y, 1)
+ * = (n/d * v^2, y * v^3, v)
+ * = (n/d * d*g, y * sqrt(d^3*g^3), v)
+ * = (n/d * d*g, sqrt(y^2 * d^3*g^3), v)
+ * = (n*g, sqrt(g/d^3 * d^3*g^3), v)
+ * = (n*g, sqrt(g^4), v)
+ * = (n*g, g^2, v)
+ *
+ * It is easy to verify that both (n*g, g^2, v) and its negation (n*g, -g^2, v) have affine X
+ * coordinate n/d, and this holds even when the square root function doesn't have a
+ * determinstic sign. We choose the (n*g, g^2, v) version.
+ *
+ * Now switch to the effective affine curve using phi_v, where the input point has coordinates
+ * (n*g, g^2). Compute (X, Y, Z) = q * (n*g, g^2) there.
+ *
+ * Back on secp256k1, that means q * (n*g, g^2, v) = (X, Y, v*Z). This last point has affine X
+ * coordinate X / (v^2*Z^2) = X / (d*g*Z^2). Determining the affine Y coordinate would involve
+ * a square root, but as long as we only care about the resulting X coordinate, no square root
+ * is needed anywhere in this computation.
+ */
+
+ secp256k1_fe g, i;
+ secp256k1_ge p;
+ secp256k1_gej rj;
+
+ /* Compute g = (n^3 + B*d^3). */
+ secp256k1_fe_sqr(&g, n);
+ secp256k1_fe_mul(&g, &g, n);
+ if (d) {
+ secp256k1_fe b;
+#ifdef VERIFY
+ VERIFY_CHECK(!secp256k1_fe_normalizes_to_zero(d));
+#endif
+ secp256k1_fe_sqr(&b, d);
+ VERIFY_CHECK(SECP256K1_B <= 8); /* magnitude of b will be <= 8 after the next call */
+ secp256k1_fe_mul_int(&b, SECP256K1_B);
+ secp256k1_fe_mul(&b, &b, d);
+ secp256k1_fe_add(&g, &b);
+ if (!known_on_curve) {
+ /* We need to determine whether (n/d)^3 + 7 is square.
+ *
+ * is_square((n/d)^3 + 7)
+ * <=> is_square(((n/d)^3 + 7) * d^4)
+ * <=> is_square((n^3 + 7*d^3) * d)
+ * <=> is_square(g * d)
+ */
+ secp256k1_fe c;
+ secp256k1_fe_mul(&c, &g, d);
+ if (!secp256k1_fe_is_square_var(&c)) return 0;
+ }
+ } else {
+ secp256k1_fe_add_int(&g, SECP256K1_B);
+ if (!known_on_curve) {
+ /* g at this point equals x^3 + 7. Test if it is square. */
+ if (!secp256k1_fe_is_square_var(&g)) return 0;
+ }
+ }
+
+ /* Compute base point P = (n*g, g^2), the effective affine version of (n*g, g^2, v), which has
+ * corresponding affine X coordinate n/d. */
+ secp256k1_fe_mul(&p.x, &g, n);
+ secp256k1_fe_sqr(&p.y, &g);
+ p.infinity = 0;
+
+ /* Perform x-only EC multiplication of P with q. */
+#ifdef VERIFY
+ VERIFY_CHECK(!secp256k1_scalar_is_zero(q));
+#endif
+ secp256k1_ecmult_const(&rj, &p, q, bits);
+#ifdef VERIFY
+ VERIFY_CHECK(!secp256k1_gej_is_infinity(&rj));
+#endif
+
+ /* The resulting (X, Y, Z) point on the effective-affine isomorphic curve corresponds to
+ * (X, Y, Z*v) on the secp256k1 curve. The affine version of that has X coordinate
+ * (X / (Z^2*d*g)). */
+ secp256k1_fe_sqr(&i, &rj.z);
+ secp256k1_fe_mul(&i, &i, &g);
+ if (d) secp256k1_fe_mul(&i, &i, d);
+ secp256k1_fe_inv(&i, &i);
+ secp256k1_fe_mul(r, &rj.x, &i);
+
+ return 1;
+}
+
#endif /* SECP256K1_ECMULT_CONST_IMPL_H */
diff --git a/src/ecmult_impl.h b/src/ecmult_impl.h
index 3776fe73fc..a9a63850ef 100644
--- a/src/ecmult_impl.h
+++ b/src/ecmult_impl.h
@@ -97,7 +97,7 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_ge *pre_a, sec
secp256k1_gej_set_ge(&ai, &pre_a[0]);
ai.z = a->z;
- /* pre_a[0] is the point (a.x*C^2, a.y*C^3, a.z*C) which is equvalent to a.
+ /* pre_a[0] is the point (a.x*C^2, a.y*C^3, a.z*C) which is equivalent to a.
* Set zr[0] to C, which is the ratio between the omitted z(pre_a[0]) value and a.z.
*/
zr[0] = d.z;
@@ -114,13 +114,16 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_ge *pre_a, sec
secp256k1_fe_mul(z, &ai.z, &d.z);
}
-#define SECP256K1_ECMULT_TABLE_VERIFY(n,w) \
- VERIFY_CHECK(((n) & 1) == 1); \
- VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \
+SECP256K1_INLINE static void secp256k1_ecmult_table_verify(int n, int w) {
+ (void)n;
+ (void)w;
+ VERIFY_CHECK(((n) & 1) == 1);
+ VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1));
VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1));
+}
SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge(secp256k1_ge *r, const secp256k1_ge *pre, int n, int w) {
- SECP256K1_ECMULT_TABLE_VERIFY(n,w)
+ secp256k1_ecmult_table_verify(n,w);
if (n > 0) {
*r = pre[(n-1)/2];
} else {
@@ -130,7 +133,7 @@ SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge(secp256k1_ge *r, cons
}
SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_lambda(secp256k1_ge *r, const secp256k1_ge *pre, const secp256k1_fe *x, int n, int w) {
- SECP256K1_ECMULT_TABLE_VERIFY(n,w)
+ secp256k1_ecmult_table_verify(n,w);
if (n > 0) {
secp256k1_ge_set_xy(r, &x[(n-1)/2], &pre[(n-1)/2].y);
} else {
@@ -140,7 +143,7 @@ SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_lambda(secp256k1_ge *
}
SECP256K1_INLINE static void secp256k1_ecmult_table_get_ge_storage(secp256k1_ge *r, const secp256k1_ge_storage *pre, int n, int w) {
- SECP256K1_ECMULT_TABLE_VERIFY(n,w)
+ secp256k1_ecmult_table_verify(n,w);
if (n > 0) {
secp256k1_ge_from_storage(r, &pre[(n-1)/2]);
} else {
diff --git a/src/field_10x26_impl.h b/src/field_10x26_impl.h
index 46b72ce78d..3b7f4d2480 100644
--- a/src/field_10x26_impl.h
+++ b/src/field_10x26_impl.h
@@ -1147,8 +1147,9 @@ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) {
static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) {
uint32_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n));
- mask0 = flag + ~((uint32_t)0);
+ mask0 = vflag + ~((uint32_t)0);
mask1 = ~mask0;
r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1);
@@ -1246,8 +1247,9 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) {
static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) {
uint32_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n));
- mask0 = flag + ~((uint32_t)0);
+ mask0 = vflag + ~((uint32_t)0);
mask1 = ~mask0;
r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1);
@@ -1363,7 +1365,9 @@ static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) {
secp256k1_modinv32(&s, &secp256k1_const_modinfo_fe);
secp256k1_fe_from_signed30(r, &s);
+#ifdef VERIFY
VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
+#endif
}
static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
@@ -1376,7 +1380,9 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe);
secp256k1_fe_from_signed30(r, &s);
+#ifdef VERIFY
VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
+#endif
}
static int secp256k1_fe_is_square_var(const secp256k1_fe *x) {
diff --git a/src/field_5x52_impl.h b/src/field_5x52_impl.h
index 4c4466eceb..6b97157d0f 100644
--- a/src/field_5x52_impl.h
+++ b/src/field_5x52_impl.h
@@ -487,8 +487,9 @@ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) {
static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) {
uint64_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n));
- mask0 = flag + ~((uint64_t)0);
+ mask0 = vflag + ~((uint64_t)0);
mask1 = ~mask0;
r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1);
@@ -570,8 +571,9 @@ static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) {
static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) {
uint64_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->n, sizeof(r->n));
- mask0 = flag + ~((uint64_t)0);
+ mask0 = vflag + ~((uint64_t)0);
mask1 = ~mask0;
r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1);
diff --git a/src/int128_struct_impl.h b/src/int128_struct_impl.h
index 2eb337cb54..cc17bad167 100644
--- a/src/int128_struct_impl.h
+++ b/src/int128_struct_impl.h
@@ -193,7 +193,7 @@ static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r,
VERIFY_CHECK(n < 127);
VERIFY_CHECK(sign == 1 || sign == -1);
return n >= 64 ? r->hi == (uint64_t)sign << (n - 64) && r->lo == 0
- : r->hi == (uint64_t)((sign - 1) >> 1) && r->lo == (uint64_t)sign << n;
+ : r->hi == (uint64_t)(sign >> 1) && r->lo == (uint64_t)sign << n;
}
#endif
diff --git a/src/modinv32_impl.h b/src/modinv32_impl.h
index 643750560e..8e400b697b 100644
--- a/src/modinv32_impl.h
+++ b/src/modinv32_impl.h
@@ -232,7 +232,7 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_
return zeta;
}
-/* inv256[i] = -(2*i+1)^-1 (mod 256) */
+/* secp256k1_modinv32_inv256[i] = -(2*i+1)^-1 (mod 256) */
static const uint8_t secp256k1_modinv32_inv256[128] = {
0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59,
0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31,
diff --git a/src/scalar_4x64_impl.h b/src/scalar_4x64_impl.h
index 1b83575b3e..1959dae986 100644
--- a/src/scalar_4x64_impl.h
+++ b/src/scalar_4x64_impl.h
@@ -811,8 +811,9 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
uint64_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d));
- mask0 = flag + ~((uint64_t)0);
+ mask0 = vflag + ~((uint64_t)0);
mask1 = ~mask0;
r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1);
r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1);
diff --git a/src/scalar_8x32_impl.h b/src/scalar_8x32_impl.h
index c433adce75..a2555cbbcd 100644
--- a/src/scalar_8x32_impl.h
+++ b/src/scalar_8x32_impl.h
@@ -632,8 +632,9 @@ SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r,
static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
uint32_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r->d, sizeof(r->d));
- mask0 = flag + ~((uint32_t)0);
+ mask0 = vflag + ~((uint32_t)0);
mask1 = ~mask0;
r->d[0] = (r->d[0] & mask0) | (a->d[0] & mask1);
r->d[1] = (r->d[1] & mask0) | (a->d[1] & mask1);
diff --git a/src/scalar_low_impl.h b/src/scalar_low_impl.h
index e780083339..bfd1139110 100644
--- a/src/scalar_low_impl.h
+++ b/src/scalar_low_impl.h
@@ -116,8 +116,9 @@ SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const
static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag) {
uint32_t mask0, mask1;
+ volatile int vflag = flag;
SECP256K1_CHECKMEM_CHECK_VERIFY(r, sizeof(*r));
- mask0 = flag + ~((uint32_t)0);
+ mask0 = vflag + ~((uint32_t)0);
mask1 = ~mask0;
*r = (*r & mask0) | (*a & mask1);
}
diff --git a/src/tests.c b/src/tests.c
index 1c0d797349..7f61f737c6 100644
--- a/src/tests.c
+++ b/src/tests.c
@@ -4452,6 +4452,68 @@ static void ecmult_const_mult_zero_one(void) {
ge_equals_ge(&res2, &point);
}
+static void ecmult_const_mult_xonly(void) {
+ int i;
+
+ /* Test correspondence between secp256k1_ecmult_const and secp256k1_ecmult_const_xonly. */
+ for (i = 0; i < 2*COUNT; ++i) {
+ secp256k1_ge base;
+ secp256k1_gej basej, resj;
+ secp256k1_fe n, d, resx, v;
+ secp256k1_scalar q;
+ int res;
+ /* Random base point. */
+ random_group_element_test(&base);
+ /* Random scalar to multiply it with. */
+ random_scalar_order_test(&q);
+ /* If i is odd, n=d*base.x for random non-zero d */
+ if (i & 1) {
+ do {
+ random_field_element_test(&d);
+ } while (secp256k1_fe_normalizes_to_zero_var(&d));
+ secp256k1_fe_mul(&n, &base.x, &d);
+ } else {
+ n = base.x;
+ }
+ /* Perform x-only multiplication. */
+ res = secp256k1_ecmult_const_xonly(&resx, &n, (i & 1) ? &d : NULL, &q, 256, i & 2);
+ CHECK(res);
+ /* Perform normal multiplication. */
+ secp256k1_gej_set_ge(&basej, &base);
+ secp256k1_ecmult(&resj, &basej, &q, NULL);
+ /* Check that resj's X coordinate corresponds with resx. */
+ secp256k1_fe_sqr(&v, &resj.z);
+ secp256k1_fe_mul(&v, &v, &resx);
+ CHECK(check_fe_equal(&v, &resj.x));
+ }
+
+ /* Test that secp256k1_ecmult_const_xonly correctly rejects X coordinates not on curve. */
+ for (i = 0; i < 2*COUNT; ++i) {
+ secp256k1_fe x, n, d, c, r;
+ int res;
+ secp256k1_scalar q;
+ random_scalar_order_test(&q);
+ /* Generate random X coordinate not on the curve. */
+ do {
+ random_field_element_test(&x);
+ secp256k1_fe_sqr(&c, &x);
+ secp256k1_fe_mul(&c, &c, &x);
+ secp256k1_fe_add(&c, &secp256k1_fe_const_b);
+ } while (secp256k1_fe_is_square_var(&c));
+ /* If i is odd, n=d*x for random non-zero d. */
+ if (i & 1) {
+ do {
+ random_field_element_test(&d);
+ } while (secp256k1_fe_normalizes_to_zero_var(&d));
+ secp256k1_fe_mul(&n, &x, &d);
+ } else {
+ n = x;
+ }
+ res = secp256k1_ecmult_const_xonly(&r, &n, (i & 1) ? &d : NULL, &q, 256, 0);
+ CHECK(res == 0);
+ }
+}
+
static void ecmult_const_chain_multiply(void) {
/* Check known result (randomly generated test problem from sage) */
const secp256k1_scalar scalar = SECP256K1_SCALAR_CONST(
@@ -4483,6 +4545,7 @@ static void run_ecmult_const_tests(void) {
ecmult_const_random_mult();
ecmult_const_commutativity();
ecmult_const_chain_multiply();
+ ecmult_const_mult_xonly();
}
typedef struct {
@@ -7306,6 +7369,44 @@ static void run_ecdsa_edge_cases(void) {
test_ecdsa_edge_cases();
}
+/** Wycheproof tests
+
+The tests check for known attacks (range checks in (r,s), arithmetic errors, malleability).
+*/
+static void test_ecdsa_wycheproof(void) {
+ #include "wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h"
+
+ int t;
+ for (t = 0; t < SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS; t++) {
+ secp256k1_ecdsa_signature signature;
+ secp256k1_sha256 hasher;
+ secp256k1_pubkey pubkey;
+ const unsigned char *msg, *sig, *pk;
+ unsigned char out[32] = {0};
+ int actual_verify = 0;
+
+ memset(&pubkey, 0, sizeof(pubkey));
+ pk = &wycheproof_ecdsa_public_keys[testvectors[t].pk_offset];
+ CHECK(secp256k1_ec_pubkey_parse(CTX, &pubkey, pk, 65) == 1);
+
+ secp256k1_sha256_initialize(&hasher);
+ msg = &wycheproof_ecdsa_messages[testvectors[t].msg_offset];
+ secp256k1_sha256_write(&hasher, msg, testvectors[t].msg_len);
+ secp256k1_sha256_finalize(&hasher, out);
+
+ sig = &wycheproof_ecdsa_signatures[testvectors[t].sig_offset];
+ if (secp256k1_ecdsa_signature_parse_der(CTX, &signature, sig, testvectors[t].sig_len) == 1) {
+ actual_verify = secp256k1_ecdsa_verify(CTX, (const secp256k1_ecdsa_signature *)&signature, out, &pubkey);
+ }
+ CHECK(testvectors[t].expected_verify == actual_verify);
+ }
+}
+
+/* Tests cases from Wycheproof test suite. */
+static void run_ecdsa_wycheproof(void) {
+ test_ecdsa_wycheproof();
+}
+
#ifdef ENABLE_MODULE_ECDH
# include "modules/ecdh/tests_impl.h"
#endif
@@ -7638,6 +7739,7 @@ int main(int argc, char **argv) {
run_ecdsa_sign_verify();
run_ecdsa_end_to_end();
run_ecdsa_edge_cases();
+ run_ecdsa_wycheproof();
#ifdef ENABLE_MODULE_RECOVERY
/* ECDSA pubkey recovery tests */
diff --git a/src/tests_exhaustive.c b/src/tests_exhaustive.c
index 86b9334cae..63b6ef03af 100644
--- a/src/tests_exhaustive.c
+++ b/src/tests_exhaustive.c
@@ -59,6 +59,19 @@ static void random_fe(secp256k1_fe *x) {
}
} while(1);
}
+
+static void random_fe_non_zero(secp256k1_fe *nz) {
+ int tries = 10;
+ while (--tries >= 0) {
+ random_fe(nz);
+ secp256k1_fe_normalize(nz);
+ if (!secp256k1_fe_is_zero(nz)) {
+ break;
+ }
+ }
+ /* Infinitesimal probability of spurious failure here */
+ CHECK(tries >= 0);
+}
/** END stolen from tests.c */
static uint32_t num_cores = 1;
@@ -174,10 +187,37 @@ static void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_ge
secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng);
ge_equals_gej(&group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER], &tmp);
- if (i > 0) {
- secp256k1_ecmult_const(&tmp, &group[i], &ng, 256);
- ge_equals_gej(&group[(i * j) % EXHAUSTIVE_TEST_ORDER], &tmp);
- }
+ }
+ }
+ }
+
+ for (j = 0; j < EXHAUSTIVE_TEST_ORDER; j++) {
+ for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) {
+ int ret;
+ secp256k1_gej tmp;
+ secp256k1_fe xn, xd, tmpf;
+ secp256k1_scalar ng;
+
+ if (skip_section(&iter)) continue;
+
+ secp256k1_scalar_set_int(&ng, j);
+
+ /* Test secp256k1_ecmult_const. */
+ secp256k1_ecmult_const(&tmp, &group[i], &ng, 256);
+ ge_equals_gej(&group[(i * j) % EXHAUSTIVE_TEST_ORDER], &tmp);
+
+ if (j != 0) {
+ /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, and xd=NULL. */
+ ret = secp256k1_ecmult_const_xonly(&tmpf, &group[i].x, NULL, &ng, 256, 0);
+ CHECK(ret);
+ CHECK(secp256k1_fe_equal_var(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x));
+
+ /* Test secp256k1_ecmult_const_xonly with all curve X coordinates, with random xd. */
+ random_fe_non_zero(&xd);
+ secp256k1_fe_mul(&xn, &xd, &group[i].x);
+ ret = secp256k1_ecmult_const_xonly(&tmpf, &xn, &xd, &ng, 256, 0);
+ CHECK(ret);
+ CHECK(secp256k1_fe_equal_var(&tmpf, &group[(i * j) % EXHAUSTIVE_TEST_ORDER].x));
}
}
}
diff --git a/src/wycheproof/WYCHEPROOF_COPYING b/src/wycheproof/WYCHEPROOF_COPYING
new file mode 100644
index 0000000000..cddf9d9182
--- /dev/null
+++ b/src/wycheproof/WYCHEPROOF_COPYING
@@ -0,0 +1,212 @@
+* The file `ecdsa_secp256k1_sha256_bitcoin_test.json` in this directory
+ comes from Google's project Wycheproof with git commit
+ `b063b4aedae951c69df014cd25fa6d69ae9e8cb9`, see
+ https://github.com/google/wycheproof/blob/b063b4aedae951c69df014cd25fa6d69ae9e8cb9/testvectors_v1/ecdsa_secp256k1_sha256_bitcoin_test.json
+
+* The file `ecdsa_secp256k1_sha256_bitcoin_test.h` is generated from
+ `ecdsa_secp256k1_sha256_bitcoin_test.json` using the script
+ `tests_wycheproof_generate.py`.
+
+-------------------------------------------------------------------------------
+
+ Apache License
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diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
new file mode 100644
index 0000000000..736737fd61
--- /dev/null
+++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h
@@ -0,0 +1,1564 @@
+/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */
+#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS (463)
+
+typedef struct {
+ size_t pk_offset;
+ size_t msg_offset;
+ size_t msg_len;
+ size_t sig_offset;
+ size_t sig_len;
+ int expected_verify;
+} wycheproof_ecdsa_testvector;
+
+static const unsigned char wycheproof_ecdsa_messages[] = { 0x31,0x32,0x33,0x34,0x30,0x30,
+ 0x32,0x35,0x35,0x38,0x35,
+ 0x34,0x32,0x36,0x34,0x37,0x39,0x37,0x32,0x34,
+ 0x37,0x31,0x33,0x38,0x36,0x38,0x34,0x38,0x39,0x31,
+ 0x31,0x30,0x33,0x35,0x39,0x33,0x33,0x31,0x36,0x36,0x38,
+ 0x33,0x39,0x34,0x39,0x34,0x30,0x31,0x32,0x31,0x35,
+ 0x31,0x33,0x34,0x34,0x32,0x39,0x33,0x30,0x37,0x39,
+ 0x33,0x37,0x30,0x36,0x32,0x31,0x31,0x37,0x31,0x32,
+ 0x33,0x34,0x33,0x36,0x38,0x38,0x37,0x31,0x32,
+ 0x31,0x33,0x35,0x31,0x35,0x33,0x30,0x33,0x37,0x30,
+ 0x36,0x35,0x35,0x33,0x32,0x30,0x33,0x31,0x32,0x36,
+ 0x31,0x35,0x36,0x34,0x33,0x34,0x36,0x36,0x30,0x33,
+ 0x34,0x34,0x32,0x39,0x35,0x33,0x39,0x31,0x31,0x37,
+ 0x31,0x30,0x39,0x35,0x33,0x32,0x36,0x31,0x33,0x35,0x31,
+ 0x35,0x39,0x38,0x37,0x33,0x35,0x30,0x30,0x34,0x31,
+ 0x33,0x34,0x36,0x33,0x30,0x30,0x36,0x38,0x37,0x38,
+ 0x39,0x38,0x31,0x37,0x33,0x32,0x30,0x32,0x38,0x37,
+ 0x33,0x32,0x32,0x32,0x30,0x34,0x31,0x30,0x34,0x36,
+ 0x36,0x36,0x36,0x36,0x33,0x30,0x37,0x31,0x30,0x34,
+ 0x31,0x30,0x33,0x35,0x39,0x35,0x31,0x38,0x39,0x38,
+ 0x31,0x38,0x34,0x36,0x35,0x39,0x37,0x31,0x39,0x35,
+ 0x33,0x31,0x33,0x36,0x30,0x34,0x36,0x31,0x38,0x39,
+ 0x32,0x36,0x36,0x33,0x37,0x38,0x34,0x32,0x35,0x34,
+ 0x31,0x36,0x35,0x32,0x31,0x30,0x30,0x35,0x32,0x34,
+ 0x35,0x37,0x34,0x38,0x30,0x38,0x31,0x36,0x39,0x36,
+ 0x36,0x33,0x34,0x33,0x39,0x31,0x33,0x34,0x36,0x38,
+ 0x31,0x35,0x34,0x31,0x31,0x30,0x33,0x35,0x39,0x38,
+ 0x31,0x30,0x34,0x37,0x38,0x35,0x38,0x30,0x31,0x32,0x38,
+ 0x31,0x30,0x35,0x33,0x36,0x32,0x38,0x35,0x35,0x36,0x38,
+ 0x39,0x35,0x33,0x39,0x30,0x34,0x31,0x30,0x35,
+ 0x39,0x37,0x38,0x38,0x34,0x38,0x30,0x33,0x39,
+ 0x33,0x36,0x31,0x30,0x36,0x37,0x32,0x34,0x34,0x32,
+ 0x31,0x30,0x35,0x34,0x32,0x34,0x30,0x37,0x30,0x35,
+ 0x35,0x31,0x37,0x34,0x34,0x34,0x38,0x31,0x39,0x37,
+ 0x31,0x39,0x36,0x37,0x35,0x36,0x31,0x32,0x35,0x31,
+ 0x33,0x34,0x34,0x37,0x32,0x35,0x33,0x33,0x34,0x33,
+ 0x33,0x36,0x38,0x32,0x36,0x34,0x33,0x31,0x38,
+ 0x33,0x32,0x36,0x31,0x31,0x39,0x38,0x36,0x30,0x38,
+ 0x39,0x36,0x37,0x38,0x37,0x38,0x31,0x30,0x39,0x34,
+ 0x34,0x39,0x35,0x38,0x38,0x32,0x33,0x38,0x32,0x33,
+ 0x38,0x32,0x34,0x36,0x33,0x37,0x38,0x33,0x37,
+ 0x31,0x31,0x30,0x32,0x30,0x38,0x33,0x33,0x37,0x37,0x36,
+ 0x31,0x33,0x33,0x38,0x37,0x31,0x36,0x34,0x38,
+ 0x33,0x32,0x32,0x31,0x34,0x34,0x31,0x36,0x32,
+ 0x31,0x30,0x36,0x38,0x36,0x36,0x35,0x35,0x35,0x34,0x36,
+ 0x36,0x32,0x31,0x35,0x35,0x32,0x34,0x36,
+ 0x37,0x30,0x33,0x30,0x38,0x31,0x38,0x37,0x37,0x34,
+ 0x35,0x39,0x32,0x34,0x35,0x32,0x33,0x37,0x34,0x34,
+ 0x31,0x34,0x39,0x35,0x35,0x38,0x36,0x36,0x32,0x31,
+ 0x34,0x30,0x30,0x35,0x33,0x31,0x34,0x34,0x30,0x36,
+ 0x33,0x30,0x39,0x36,0x34,0x35,0x37,0x35,0x31,0x32,
+ 0x32,0x37,0x38,0x34,0x30,0x32,0x35,0x36,0x32,0x30,
+ 0x32,0x36,0x31,0x38,0x37,0x38,0x37,0x34,0x31,0x38,
+ 0x31,0x36,0x34,0x32,0x36,0x32,0x35,0x32,0x36,0x32,
+ 0x36,0x38,0x32,0x34,0x31,0x38,0x39,0x34,0x33,0x36,
+ 0x34,0x38,0x34,0x32,0x34,0x35,0x34,0x32,0x35,
+ 0x4d,0x73,0x67,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x4d,0x65,0x73,0x73,0x61,0x67,0x65};
+
+static const unsigned char wycheproof_ecdsa_public_keys[] = { 0x04,0xb8,0x38,0xff,0x44,0xe5,0xbc,0x17,0x7b,0xf2,0x11,0x89,0xd0,0x76,0x60,0x82,0xfc,0x9d,0x84,0x32,0x26,0x88,0x7f,0xc9,0x76,0x03,0x71,0x10,0x0b,0x7e,0xe2,0x0a,0x6f,0xf0,0xc9,0xd7,0x5b,0xfb,0xa7,0xb3,0x1a,0x6b,0xca,0x19,0x74,0x49,0x6e,0xeb,0x56,0xde,0x35,0x70,0x71,0x95,0x5d,0x83,0xc4,0xb1,0xba,0xda,0xa0,0xb2,0x18,0x32,0xe9,
+ 0x04,0x07,0x31,0x0f,0x90,0xa9,0xea,0xe1,0x49,0xa0,0x84,0x02,0xf5,0x41,0x94,0xa0,0xf7,0xb4,0xac,0x42,0x7b,0xf8,0xd9,0xbd,0x6c,0x76,0x81,0x07,0x1d,0xc4,0x7d,0xc3,0x62,0x26,0xa6,0xd3,0x7a,0xc4,0x6d,0x61,0xfd,0x60,0x0c,0x0b,0xf1,0xbf,0xf8,0x76,0x89,0xed,0x11,0x7d,0xda,0x6b,0x0e,0x59,0x31,0x8a,0xe0,0x10,0xa1,0x97,0xa2,0x6c,0xa0,
+ 0x04,0xbc,0x97,0xe7,0x58,0x5e,0xec,0xad,0x48,0xe1,0x66,0x83,0xbc,0x40,0x91,0x70,0x8e,0x1a,0x93,0x0c,0x68,0x3f,0xc4,0x70,0x01,0xd4,0xb3,0x83,0x59,0x4f,0x2c,0x4e,0x22,0x70,0x59,0x89,0xcf,0x69,0xda,0xea,0xdd,0x4e,0x4e,0x4b,0x81,0x51,0xed,0x88,0x8d,0xfe,0xc2,0x0f,0xb0,0x17,0x28,0xd8,0x9d,0x56,0xb3,0xf3,0x8f,0x2a,0xe9,0xc8,0xc5,
+ 0x04,0x44,0xad,0x33,0x9a,0xfb,0xc2,0x1e,0x9a,0xbf,0x7b,0x60,0x2a,0x5c,0xa5,0x35,0xea,0x37,0x81,0x35,0xb6,0xd1,0x0d,0x81,0x31,0x0b,0xdd,0x82,0x93,0xd1,0xdf,0x32,0x52,0xb6,0x3f,0xf7,0xd0,0x77,0x47,0x70,0xf8,0xfe,0x1d,0x17,0x22,0xfa,0x83,0xac,0xd0,0x2f,0x43,0x4e,0x4f,0xc1,0x10,0xa0,0xcc,0x8f,0x6d,0xdd,0xd3,0x7d,0x56,0xc4,0x63,
+ 0x04,0x12,0x60,0xc2,0x12,0x2c,0x9e,0x24,0x4e,0x1a,0xf5,0x15,0x1b,0xed,0xe0,0xc3,0xae,0x23,0xb5,0x4d,0x7c,0x59,0x68,0x81,0xd3,0xee,0xba,0xd2,0x1f,0x37,0xdd,0x87,0x8c,0x5c,0x9a,0x0c,0x1a,0x9a,0xde,0x76,0x73,0x7a,0x88,0x11,0xbd,0x6a,0x7f,0x92,0x87,0xc9,0x78,0xee,0x39,0x6a,0xa8,0x9c,0x11,0xe4,0x72,0x29,0xd2,0xcc,0xb5,0x52,0xf0,
+ 0x04,0x18,0x77,0x04,0x5b,0xe2,0x5d,0x34,0xa1,0xd0,0x60,0x0f,0x9d,0x5c,0x00,0xd0,0x64,0x5a,0x2a,0x54,0x37,0x9b,0x6c,0xee,0xfa,0xd2,0xe6,0xbf,0x5c,0x2a,0x33,0x52,0xce,0x82,0x1a,0x53,0x2c,0xc1,0x75,0x1e,0xe1,0xd3,0x6d,0x41,0xc3,0xd6,0xab,0x4e,0x9b,0x14,0x3e,0x44,0xec,0x46,0xd7,0x34,0x78,0xea,0x6a,0x79,0xa5,0xc0,0xe5,0x41,0x59,
+ 0x04,0x45,0x54,0x39,0xfc,0xc3,0xd2,0xde,0xec,0xed,0xde,0xae,0xce,0x60,0xe7,0xbd,0x17,0x30,0x4f,0x36,0xeb,0xb6,0x02,0xad,0xf5,0xa2,0x2e,0x0b,0x8f,0x1d,0xb4,0x6a,0x50,0xae,0xc3,0x8f,0xb2,0xba,0xf2,0x21,0xe9,0xa8,0xd1,0x88,0x7c,0x7b,0xf6,0x22,0x2d,0xd1,0x83,0x46,0x34,0xe7,0x72,0x63,0x31,0x5a,0xf6,0xd2,0x36,0x09,0xd0,0x4f,0x77,
+ 0x04,0x2e,0x1f,0x46,0x6b,0x02,0x4c,0x0c,0x3a,0xce,0x24,0x37,0xde,0x09,0x12,0x7f,0xed,0x04,0xb7,0x06,0xf9,0x4b,0x19,0xa2,0x1b,0xb1,0xc2,0xac,0xf3,0x5c,0xec,0xe7,0x18,0x04,0x49,0xae,0x35,0x23,0xd7,0x25,0x34,0xe9,0x64,0x97,0x2c,0xfd,0x3b,0x38,0xaf,0x0b,0xdd,0xd9,0x61,0x9e,0x5a,0xf2,0x23,0xe4,0xd1,0xa4,0x0f,0x34,0xcf,0x9f,0x1d,
+ 0x04,0x8e,0x7a,0xbd,0xbb,0xd1,0x8d,0xe7,0x45,0x23,0x74,0xc1,0x87,0x9a,0x1c,0x3b,0x01,0xd1,0x32,0x61,0xe7,0xd4,0x57,0x1c,0x3b,0x47,0xa1,0xc7,0x6c,0x55,0xa2,0x33,0x73,0x26,0xed,0x89,0x7c,0xd5,0x17,0xa4,0xf5,0x34,0x9d,0xb8,0x09,0x78,0x0f,0x6d,0x2f,0x2b,0x9f,0x62,0x99,0xd8,0xb5,0xa8,0x90,0x77,0xf1,0x11,0x9a,0x71,0x8f,0xd7,0xb3,
+ 0x04,0x7b,0x33,0x3d,0x43,0x40,0xd3,0xd7,0x18,0xdd,0x3e,0x6a,0xff,0x7d,0xe7,0xbb,0xf8,0xb7,0x2b,0xfd,0x61,0x6c,0x84,0x20,0x05,0x60,0x52,0x84,0x23,0x76,0xb9,0xaf,0x19,0x42,0x11,0x7c,0x5a,0xfe,0xac,0x75,0x5d,0x6f,0x37,0x6f,0xc6,0x32,0x9a,0x7d,0x76,0x05,0x1b,0x87,0x12,0x3a,0x4a,0x5d,0x0b,0xc4,0xa5,0x39,0x38,0x0f,0x03,0xde,0x7b,
+ 0x04,0xd3,0x0c,0xa4,0xa0,0xdd,0xb6,0x61,0x6c,0x85,0x1d,0x30,0xce,0xd6,0x82,0xc4,0x0f,0x83,0xc6,0x27,0x58,0xa1,0xf2,0x75,0x99,0x88,0xd6,0x76,0x3a,0x88,0xf1,0xc0,0xe5,0x03,0xa8,0x0d,0x54,0x15,0x65,0x0d,0x41,0x23,0x97,0x84,0xe8,0xe2,0xfb,0x12,0x35,0xe9,0xfe,0x99,0x1d,0x11,0x2e,0xbb,0x81,0x18,0x6c,0xbf,0x0d,0xa2,0xde,0x3a,0xff,
+ 0x04,0x48,0x96,0x9b,0x39,0x99,0x12,0x97,0xb3,0x32,0xa6,0x52,0xd3,0xee,0x6e,0x01,0xe9,0x09,0xb3,0x99,0x04,0xe7,0x1f,0xa2,0x35,0x4a,0x78,0x30,0xc7,0x75,0x0b,0xaf,0x24,0xb4,0x01,0x2d,0x1b,0x83,0x0d,0x19,0x9c,0xcb,0x1f,0xc9,0x72,0xb3,0x2b,0xfd,0xed,0x55,0xf0,0x9c,0xd6,0x2d,0x25,0x7e,0x5e,0x84,0x4e,0x27,0xe5,0x7a,0x15,0x94,0xec,
+ 0x04,0x02,0xef,0x4d,0x6d,0x6c,0xfd,0x5a,0x94,0xf1,0xd7,0x78,0x42,0x26,0xe3,0xe2,0xa6,0xc0,0xa4,0x36,0xc5,0x58,0x39,0x61,0x9f,0x38,0xfb,0x44,0x72,0xb5,0xf9,0xee,0x77,0x7e,0xb4,0xac,0xd4,0xee,0xbd,0xa5,0xcd,0x72,0x87,0x5f,0xfd,0x2a,0x2f,0x26,0x22,0x9c,0x2d,0xc6,0xb4,0x65,0x00,0x91,0x9a,0x43,0x2c,0x86,0x73,0x9f,0x3a,0xe8,0x66,
+ 0x04,0x46,0x4f,0x4f,0xf7,0x15,0x72,0x9c,0xae,0x50,0x72,0xca,0x3b,0xd8,0x01,0xd3,0x19,0x5b,0x67,0xae,0xc6,0x5e,0x9b,0x01,0xaa,0xd2,0x0a,0x29,0x43,0xdc,0xbc,0xb5,0x84,0xb1,0xaf,0xd2,0x9d,0x31,0xa3,0x9a,0x11,0xd5,0x70,0xaa,0x15,0x97,0x43,0x9b,0x3b,0x2d,0x19,0x71,0xbf,0x2f,0x1a,0xbf,0x15,0x43,0x2d,0x02,0x07,0xb1,0x0d,0x1d,0x08,
+ 0x04,0x15,0x7f,0x8f,0xdd,0xf3,0x73,0xeb,0x5f,0x49,0xcf,0xcf,0x10,0xd8,0xb8,0x53,0xcf,0x91,0xcb,0xcd,0x7d,0x66,0x5c,0x35,0x22,0xba,0x7d,0xd7,0x38,0xdd,0xb7,0x9a,0x4c,0xde,0xad,0xf1,0xa5,0xc4,0x48,0xea,0x3c,0x9f,0x41,0x91,0xa8,0x99,0x9a,0xbf,0xcc,0x75,0x7a,0xc6,0xd6,0x45,0x67,0xef,0x07,0x2c,0x47,0xfe,0xc6,0x13,0x44,0x3b,0x8f,
+ 0x04,0x09,0x34,0xa5,0x37,0x46,0x6c,0x07,0x43,0x0e,0x2c,0x48,0xfe,0xb9,0x90,0xbb,0x19,0xfb,0x78,0xce,0xcc,0x9c,0xee,0x42,0x4e,0xa4,0xd1,0x30,0x29,0x1a,0xa2,0x37,0xf0,0xd4,0xf9,0x2d,0x23,0xb4,0x62,0x80,0x4b,0x5b,0x68,0xc5,0x25,0x58,0xc0,0x1c,0x99,0x96,0xdb,0xf7,0x27,0xfc,0xca,0xbb,0xee,0xdb,0x96,0x21,0xa4,0x00,0x53,0x5a,0xfa,
+ 0x04,0xd6,0xef,0x20,0xbe,0x66,0xc8,0x93,0xf7,0x41,0xa9,0xbf,0x90,0xd9,0xb7,0x46,0x75,0xd1,0xc2,0xa3,0x12,0x96,0x39,0x7a,0xcb,0x3e,0xf1,0x74,0xfd,0x0b,0x30,0x0c,0x65,0x4a,0x0c,0x95,0x47,0x8c,0xa0,0x03,0x99,0x16,0x2d,0x7f,0x0f,0x2d,0xc8,0x9e,0xfd,0xc2,0xb2,0x8a,0x30,0xfb,0xab,0xe2,0x85,0x85,0x72,0x95,0xa4,0xb0,0xc4,0xe2,0x65,
+ 0x04,0xb7,0x29,0x1d,0x14,0x04,0xe0,0xc0,0xc0,0x7d,0xab,0x93,0x72,0x18,0x9f,0x4b,0xd5,0x8d,0x2c,0xea,0xa8,0xd1,0x5e,0xde,0x54,0x4d,0x95,0x14,0x54,0x5b,0xa9,0xee,0x06,0x29,0xc9,0xa6,0x3d,0x5e,0x30,0x87,0x69,0xcc,0x30,0xec,0x27,0x6a,0x41,0x0e,0x64,0x64,0xa2,0x7e,0xea,0xfd,0x9e,0x59,0x9d,0xb1,0x0f,0x05,0x3a,0x4f,0xe4,0xa8,0x29,
+ 0x04,0x6e,0x28,0x30,0x33,0x05,0xd6,0x42,0xcc,0xb9,0x23,0xb7,0x22,0xea,0x86,0xb2,0xa0,0xbc,0x8e,0x37,0x35,0xec,0xb2,0x6e,0x84,0x9b,0x19,0xc9,0xf7,0x6b,0x2f,0xdb,0xb8,0x18,0x6e,0x80,0xd6,0x4d,0x8c,0xab,0x16,0x4f,0x52,0x38,0xf5,0x31,0x84,0x61,0xbf,0x89,0xd4,0xd9,0x6e,0xe6,0x54,0x4c,0x81,0x6c,0x75,0x66,0x94,0x77,0x74,0xe0,0xf6,
+ 0x04,0x37,0x5b,0xda,0x93,0xf6,0xaf,0x92,0xfb,0x5f,0x8f,0x4b,0x1b,0x5f,0x05,0x34,0xe3,0xba,0xfa,0xb3,0x4c,0xb7,0xad,0x9f,0xb9,0xd0,0xb7,0x22,0xe4,0xa5,0xc3,0x02,0xa9,0xa0,0x0b,0x9f,0x38,0x7a,0x5a,0x39,0x60,0x97,0xaa,0x21,0x62,0xfc,0x5b,0xbc,0xf4,0xa5,0x26,0x33,0x72,0xf6,0x81,0xc9,0x4d,0xa5,0x1e,0x97,0x99,0x12,0x09,0x90,0xfd,
+ 0x04,0xd7,0x5b,0x68,0x21,0x6b,0xab,0xe0,0x3a,0xe2,0x57,0xe9,0x4b,0x4e,0x3b,0xf1,0xc5,0x2f,0x44,0xe3,0xdf,0x26,0x6d,0x15,0x24,0xff,0x8c,0x5e,0xa6,0x9d,0xa7,0x31,0x97,0xda,0x4b,0xff,0x9e,0xd1,0xc5,0x3f,0x44,0x91,0x7a,0x67,0xd7,0xb9,0x78,0x59,0x8e,0x89,0xdf,0x35,0x9e,0x3d,0x59,0x13,0xea,0xea,0x24,0xf3,0xae,0x25,0x9a,0xbc,0x44,
+ 0x04,0x78,0xbc,0xda,0x14,0x0a,0xed,0x23,0xd4,0x30,0xcb,0x23,0xc3,0xdc,0x0d,0x01,0xf4,0x23,0xdb,0x13,0x4e,0xe9,0x4a,0x3a,0x8c,0xb4,0x83,0xf2,0xde,0xac,0x2a,0xc6,0x53,0x11,0x81,0x14,0xf6,0xf3,0x30,0x45,0xd4,0xe9,0xed,0x91,0x07,0x08,0x50,0x07,0xbf,0xbd,0xdf,0x8f,0x58,0xfe,0x7a,0x1a,0x24,0x45,0xd6,0x6a,0x99,0x00,0x45,0x47,0x6e,
+ 0x04,0xbb,0x79,0xf6,0x18,0x57,0xf7,0x43,0xbf,0xa1,0xb6,0xe7,0x11,0x1c,0xe4,0x09,0x43,0x77,0x25,0x69,0x69,0xe4,0xe1,0x51,0x59,0x12,0x3d,0x95,0x48,0xac,0xc3,0xbe,0x6c,0x1f,0x9d,0x9f,0x88,0x60,0xdc,0xff,0xd3,0xeb,0x36,0xdd,0x6c,0x31,0xff,0x2e,0x72,0x26,0xc2,0x00,0x9c,0x4c,0x94,0xd8,0xd7,0xd2,0xb5,0x68,0x6b,0xf7,0xab,0xd6,0x77,
+ 0x04,0x93,0x59,0x18,0x27,0xd9,0xe6,0x71,0x3b,0x4e,0x9f,0xae,0xa6,0x2c,0x72,0xb2,0x8d,0xfe,0xfa,0x68,0xe0,0xc0,0x51,0x60,0xb5,0xd6,0xaa,0xe8,0x8f,0xd2,0xe3,0x6c,0x36,0x07,0x3f,0x55,0x45,0xad,0x5a,0xf4,0x10,0xaf,0x26,0xaf,0xff,0x68,0x65,0x4c,0xf7,0x2d,0x45,0xe4,0x93,0x48,0x93,0x11,0x20,0x32,0x47,0x34,0x7a,0x89,0x0f,0x45,0x18,
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+ 0x04,0x2e,0xa7,0x13,0x34,0x32,0x33,0x9c,0x69,0xd2,0x7f,0x9b,0x26,0x72,0x81,0xbd,0x2d,0xdd,0x5f,0x19,0xd6,0x33,0x8d,0x40,0x0a,0x05,0xcd,0x36,0x47,0xb1,0x57,0xa3,0x85,0xca,0xb8,0x7f,0x7d,0x67,0xbb,0x71,0x24,0xa1,0x8f,0xe5,0x21,0x7b,0x32,0xa0,0x4e,0x53,0x6a,0x98,0x45,0xa1,0x70,0x49,0x75,0x94,0x6c,0xc1,0x3a,0x4a,0x33,0x77,0x63,
+ 0x04,0x8a,0xa2,0xc6,0x4f,0xa9,0xc6,0x43,0x75,0x63,0xab,0xfb,0xcb,0xd0,0x0b,0x20,0x48,0xd4,0x8c,0x18,0xc1,0x52,0xa2,0xa6,0xf4,0x90,0x36,0xde,0x76,0x47,0xeb,0xe8,0x2e,0x1c,0xe6,0x43,0x87,0x99,0x5c,0x68,0xa0,0x60,0xfa,0x3b,0xc0,0x39,0x9b,0x05,0xcc,0x06,0xee,0xc7,0xd5,0x98,0xf7,0x50,0x41,0xa4,0x91,0x7e,0x69,0x2b,0x7f,0x51,0xff,
+ 0x04,0x39,0x14,0x27,0xff,0x7e,0xe7,0x80,0x13,0xc1,0x4a,0xec,0x7d,0x96,0xa8,0xa0,0x62,0x20,0x92,0x98,0xa7,0x83,0x83,0x5e,0x94,0xfd,0x65,0x49,0xd5,0x02,0xff,0xf7,0x1f,0xdd,0x66,0x24,0xec,0x34,0x3a,0xd9,0xfc,0xf4,0xd9,0x87,0x21,0x81,0xe5,0x9f,0x84,0x2f,0x9b,0xa4,0xcc,0xca,0xe0,0x9a,0x6c,0x09,0x72,0xfb,0x6a,0xc6,0xb4,0xc6,0xbd,
+ 0x04,0xe7,0x62,0xb8,0xa2,0x19,0xb4,0xf1,0x80,0x21,0x9c,0xc7,0xa9,0x05,0x92,0x45,0xe4,0x96,0x1b,0xd1,0x91,0xc0,0x38,0x99,0x78,0x9c,0x7a,0x34,0xb8,0x9e,0x8c,0x13,0x8e,0xc1,0x53,0x3e,0xf0,0x41,0x9b,0xb7,0x37,0x6e,0x0b,0xfd,0xe9,0x31,0x9d,0x10,0xa0,0x69,0x68,0x79,0x1d,0x9e,0xa0,0xee,0xd9,0xc1,0xce,0x63,0x45,0xae,0xd9,0x75,0x9e,
+ 0x04,0x9a,0xed,0xb0,0xd2,0x81,0xdb,0x16,0x4e,0x13,0x00,0x00,0xc5,0x69,0x7f,0xae,0x0f,0x30,0x5e,0xf8,0x48,0xbe,0x6f,0xff,0xb4,0x3a,0xc5,0x93,0xfb,0xb9,0x50,0xe9,0x52,0xfa,0x6f,0x63,0x33,0x59,0xbd,0xcd,0x82,0xb5,0x6b,0x0b,0x9f,0x96,0x5b,0x03,0x77,0x89,0xd4,0x6b,0x9a,0x81,0x41,0xb7,0x91,0xb2,0xae,0xfa,0x71,0x3f,0x96,0xc1,0x75,
+ 0x04,0x8a,0xd4,0x45,0xdb,0x62,0x81,0x62,0x60,0xe4,0xe6,0x87,0xfd,0x18,0x84,0xe4,0x8b,0x9f,0xc0,0x63,0x6d,0x03,0x15,0x47,0xd6,0x33,0x15,0xe7,0x92,0xe1,0x9b,0xfa,0xee,0x1d,0xe6,0x4f,0x99,0xd5,0xf1,0xcd,0x8b,0x6e,0xc9,0xcb,0x0f,0x78,0x7a,0x65,0x4a,0xe8,0x69,0x93,0xba,0x3d,0xb1,0x00,0x8e,0xf4,0x3c,0xff,0x06,0x84,0xcb,0x22,0xbd,
+ 0x04,0x1f,0x57,0x99,0xc9,0x5b,0xe8,0x90,0x63,0xb2,0x4f,0x26,0xe4,0x0c,0xb9,0x28,0xc1,0xa8,0x68,0xa7,0x6f,0xb0,0x09,0x46,0x07,0xe8,0x04,0x3d,0xb4,0x09,0xc9,0x1c,0x32,0xe7,0x57,0x24,0xe8,0x13,0xa4,0x19,0x1e,0x3a,0x83,0x90,0x07,0xf0,0x8e,0x2e,0x89,0x73,0x88,0xb0,0x6d,0x4a,0x00,0xde,0x6d,0xe6,0x0e,0x53,0x6d,0x91,0xfa,0xb5,0x66,
+ 0x04,0xa3,0x33,0x1a,0x4e,0x1b,0x42,0x23,0xec,0x2c,0x02,0x7e,0xdd,0x48,0x2c,0x92,0x8a,0x14,0xed,0x35,0x8d,0x93,0xf1,0xd4,0x21,0x7d,0x39,0xab,0xf6,0x9f,0xcb,0x5c,0xcc,0x28,0xd6,0x84,0xd2,0xaa,0xab,0xcd,0x63,0x83,0x77,0x5c,0xaa,0x62,0x39,0xde,0x26,0xd4,0xc6,0x93,0x7b,0xb6,0x03,0xec,0xb4,0x19,0x60,0x82,0xf4,0xcf,0xfd,0x50,0x9d,
+ 0x04,0x3f,0x39,0x52,0x19,0x97,0x74,0xc7,0xcf,0x39,0xb3,0x8b,0x66,0xcb,0x10,0x42,0xa6,0x26,0x0d,0x86,0x80,0x80,0x38,0x45,0xe4,0xd4,0x33,0xad,0xba,0x3b,0xb2,0x48,0x18,0x5e,0xa4,0x95,0xb6,0x8c,0xbc,0x7e,0xd4,0x17,0x3e,0xe6,0x3c,0x90,0x42,0xdc,0x50,0x26,0x25,0xc7,0xeb,0x7e,0x21,0xfb,0x02,0xca,0x9a,0x91,0x14,0xe0,0xa3,0xa1,0x8d,
+ 0x04,0xcd,0xfb,0x8c,0x0f,0x42,0x2e,0x14,0x4e,0x13,0x7c,0x24,0x12,0xc8,0x6c,0x17,0x1f,0x5f,0xe3,0xfa,0x3f,0x5b,0xbb,0x54,0x4e,0x90,0x76,0x28,0x8f,0x3c,0xed,0x78,0x6e,0x05,0x4f,0xd0,0x72,0x1b,0x77,0xc1,0x1c,0x79,0xbe,0xac,0xb3,0xc9,0x42,0x11,0xb0,0xa1,0x9b,0xda,0x08,0x65,0x2e,0xfe,0xaf,0x92,0x51,0x3a,0x3b,0x0a,0x16,0x36,0x98,
+ 0x04,0x73,0x59,0x8a,0x6a,0x1c,0x68,0x27,0x8f,0xa6,0xbf,0xd0,0xce,0x40,0x64,0xe6,0x82,0x35,0xbc,0x1c,0x0f,0x6b,0x20,0xa9,0x28,0x10,0x8b,0xe3,0x36,0x73,0x0f,0x87,0xe3,0xcb,0xae,0x61,0x25,0x19,0xb5,0x03,0x2e,0xcc,0x85,0xae,0xd8,0x11,0x27,0x1a,0x95,0xfe,0x79,0x39,0xd5,0xd3,0x46,0x01,0x40,0xba,0x31,0x8f,0x4d,0x14,0xab,0xa3,0x1d,
+ 0x04,0x58,0xde,0xbd,0x9a,0x7e,0xe2,0xc9,0xd5,0x91,0x32,0x47,0x8a,0x54,0x40,0xae,0x4d,0x5d,0x7e,0xd4,0x37,0x30,0x83,0x69,0xf9,0x2e,0xa8,0x6c,0x82,0x18,0x3f,0x10,0xa1,0x67,0x73,0xe7,0x6f,0x5e,0xdb,0xf4,0xda,0x0e,0x4f,0x1b,0xdf,0xfa,0xc0,0xf5,0x72,0x57,0xe1,0xdf,0xa4,0x65,0x84,0x29,0x31,0x30,0x9a,0x24,0x24,0x5f,0xda,0x6a,0x5d,
+ 0x04,0x8b,0x90,0x4d,0xe4,0x79,0x67,0x34,0x0c,0x5f,0x8c,0x35,0x72,0xa7,0x20,0x92,0x4e,0xf7,0x57,0x86,0x37,0xfe,0xab,0x19,0x49,0xac,0xb2,0x41,0xa5,0xa6,0xac,0x3f,0x5b,0x95,0x09,0x04,0x49,0x6f,0x98,0x24,0xb1,0xd6,0x3f,0x33,0x13,0xba,0xe2,0x1b,0x89,0xfa,0xe8,0x9a,0xfd,0xfc,0x81,0x1b,0x5e,0xce,0x03,0xfd,0x5a,0xa3,0x01,0x86,0x4f,
+ 0x04,0xf4,0x89,0x2b,0x6d,0x52,0x5c,0x77,0x1e,0x03,0x5f,0x2a,0x25,0x27,0x08,0xf3,0x78,0x4e,0x48,0x23,0x86,0x04,0xb4,0xf9,0x4d,0xc5,0x6e,0xaa,0x1e,0x54,0x6d,0x94,0x1a,0x34,0x6b,0x1a,0xa0,0xbc,0xe6,0x8b,0x1c,0x50,0xe5,0xb5,0x2f,0x50,0x9f,0xb5,0x52,0x2e,0x5c,0x25,0xe0,0x28,0xbc,0x8f,0x86,0x34,0x02,0xed,0xb7,0xbc,0xad,0x8b,0x1b,
+ 0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0x48,0x3a,0xda,0x77,0x26,0xa3,0xc4,0x65,0x5d,0xa4,0xfb,0xfc,0x0e,0x11,0x08,0xa8,0xfd,0x17,0xb4,0x48,0xa6,0x85,0x54,0x19,0x9c,0x47,0xd0,0x8f,0xfb,0x10,0xd4,0xb8,
+ 0x04,0x79,0xbe,0x66,0x7e,0xf9,0xdc,0xbb,0xac,0x55,0xa0,0x62,0x95,0xce,0x87,0x0b,0x07,0x02,0x9b,0xfc,0xdb,0x2d,0xce,0x28,0xd9,0x59,0xf2,0x81,0x5b,0x16,0xf8,0x17,0x98,0xb7,0xc5,0x25,0x88,0xd9,0x5c,0x3b,0x9a,0xa2,0x5b,0x04,0x03,0xf1,0xee,0xf7,0x57,0x02,0xe8,0x4b,0xb7,0x59,0x7a,0xab,0xe6,0x63,0xb8,0x2f,0x6f,0x04,0xef,0x27,0x77,
+ 0x04,0x78,0x2c,0x8e,0xd1,0x7e,0x3b,0x2a,0x78,0x3b,0x54,0x64,0xf3,0x3b,0x09,0x65,0x2a,0x71,0xc6,0x78,0xe0,0x5e,0xc5,0x1e,0x84,0xe2,0xbc,0xfc,0x66,0x3a,0x3d,0xe9,0x63,0xaf,0x9a,0xcb,0x42,0x80,0xb8,0xc7,0xf7,0xc4,0x2f,0x4e,0xf9,0xab,0xa6,0x24,0x5e,0xc1,0xec,0x17,0x12,0xfd,0x38,0xa0,0xfa,0x96,0x41,0x8d,0x8c,0xd6,0xaa,0x61,0x52,
+ 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0x00,0x00,0x00,0x01,0x06,0x04,0x92,0xd5,0xa5,0x67,0x3e,0x0f,0x25,0xd8,0xd5,0x0f,0xb7,0xe5,0x8c,0x49,0xd8,0x6d,0x46,0xd4,0x21,0x69,0x55,0xe0,0xaa,0x3d,0x40,0xe1,
+ 0x04,0x6e,0x82,0x35,0x55,0x45,0x29,0x14,0x09,0x91,0x82,0xc6,0xb2,0xc1,0xd6,0xf0,0xb5,0xd2,0x8d,0x50,0xcc,0xd0,0x05,0xaf,0x2c,0xe1,0xbb,0xa5,0x41,0xaa,0x40,0xca,0xff,0xff,0xff,0xff,0xfe,0xf9,0xfb,0x6d,0x2a,0x5a,0x98,0xc1,0xf0,0xda,0x27,0x2a,0xf0,0x48,0x1a,0x73,0xb6,0x27,0x92,0xb9,0x2b,0xde,0x96,0xaa,0x1e,0x55,0xc2,0xbb,0x4e,
+ 0x04,0x00,0x00,0x00,0x01,0x3f,0xd2,0x22,0x48,0xd6,0x4d,0x95,0xf7,0x3c,0x29,0xb4,0x8a,0xb4,0x86,0x31,0x85,0x0b,0xe5,0x03,0xfd,0x00,0xf8,0x46,0x8b,0x5f,0x0f,0x70,0xe0,0xf6,0xee,0x7a,0xa4,0x3b,0xc2,0xc6,0xfd,0x25,0xb1,0xd8,0x26,0x92,0x41,0xcb,0xdd,0x9d,0xbb,0x0d,0xac,0x96,0xdc,0x96,0x23,0x1f,0x43,0x07,0x05,0xf8,0x38,0x71,0x7d,
+ 0x04,0x25,0xaf,0xd6,0x89,0xac,0xab,0xae,0xd6,0x7c,0x1f,0x29,0x6d,0xe5,0x94,0x06,0xf8,0xc5,0x50,0xf5,0x71,0x46,0xa0,0xb4,0xec,0x2c,0x97,0x87,0x6d,0xff,0xff,0xff,0xff,0xfa,0x46,0xa7,0x6e,0x52,0x03,0x22,0xdf,0xbc,0x49,0x1e,0xc4,0xf0,0xcc,0x19,0x74,0x20,0xfc,0x4e,0xa5,0x88,0x3d,0x8f,0x6d,0xd5,0x3c,0x35,0x4b,0xc4,0xf6,0x7c,0x35,
+ 0x04,0xd1,0x2e,0x6c,0x66,0xb6,0x77,0x34,0xc3,0xc8,0x4d,0x26,0x01,0xcf,0x5d,0x35,0xdc,0x09,0x7e,0x27,0x63,0x7f,0x0a,0xca,0x4a,0x4f,0xdb,0x74,0xb6,0xaa,0xdd,0x3b,0xb9,0x3f,0x5b,0xdf,0xf8,0x8b,0xd5,0x73,0x6d,0xf8,0x98,0xe6,0x99,0x00,0x6e,0xd7,0x50,0xf1,0x1c,0xf0,0x7c,0x58,0x66,0xcd,0x7a,0xd7,0x0c,0x71,0x21,0xff,0xff,0xff,0xff,
+ 0x04,0x6d,0x4a,0x7f,0x60,0xd4,0x77,0x4a,0x4f,0x0a,0xa8,0xbb,0xde,0xdb,0x95,0x3c,0x7e,0xea,0x79,0x09,0x40,0x7e,0x31,0x64,0x75,0x56,0x64,0xbc,0x28,0x00,0x00,0x00,0x00,0xe6,0x59,0xd3,0x4e,0x4d,0xf3,0x8d,0x9e,0x8c,0x9e,0xaa,0xdf,0xba,0x36,0x61,0x2c,0x76,0x91,0x95,0xbe,0x86,0xc7,0x7a,0xac,0x3f,0x36,0xe7,0x8b,0x53,0x86,0x80,0xfb};
+
+static const unsigned char wycheproof_ecdsa_signatures[] = { 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x21,0x00,0x90,0x0e,0x75,0xad,0x23,0x3f,0xcc,0x90,0x85,0x09,0xdb,0xff,0x59,0x22,0x64,0x7d,0xb3,0x7c,0x21,0xf4,0xaf,0xd3,0x20,0x3a,0xe8,0xdc,0x4a,0xe7,0x79,0x4b,0x0f,0x87,
+ 0x30,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x81,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x82,0x00,0x45,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
+ 0x30,0x46,0x02,0x21,0x00,0x81,0x3e,0xf7,0x9c,0xce,0xfa,0x9a,0x56,0xf7,0xba,0x80,0x5f,0x0e,0x47,0x85,0x84,0xfe,0x5f,0x0d,0xd5,0xf5,0x67,0xbc,0x09,0xb5,0x12,0x3c,0xcb,0xc9,0x83,0x23,0x65,0x02,0x20,0x6f,0xf1,0x8a,0x52,0xdc,0xc0,0x33,0x6f,0x7a,0xf6,0x24,0x00,0xa6,0xdd,0x9b,0x81,0x07,0x32,0xba,0xf1,0xff,0x75,0x80,0x00,0xd6,0xf6,0x13,0xa5,0x56,0xeb,0x31,0xba,
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+ 0x30,0x81,
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+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0x00,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x01,0xff,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x40,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x42,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x2f,
+ 0x30,0x46,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xff,0xff,0xfc,0x30,
+ 0x30,0x08,0x02,0x01,0x00,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0x00,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0x00,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0x00,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0x00,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0x00,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0x00,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0x00,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0x00,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x08,0x02,0x01,0x01,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0x01,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0x01,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0x01,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0x01,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0x01,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0x01,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0x01,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0x01,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x08,0x02,0x01,0xff,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x06,0x02,0x01,0xff,0x09,0x01,0x42,
+ 0x30,0x06,0x02,0x01,0xff,0x01,0x01,0x01,
+ 0x30,0x06,0x02,0x01,0xff,0x01,0x01,0x00,
+ 0x30,0x05,0x02,0x01,0xff,0x05,0x00,
+ 0x30,0x05,0x02,0x01,0xff,0x0c,0x00,
+ 0x30,0x06,0x02,0x01,0xff,0x0c,0x01,0x30,
+ 0x30,0x05,0x02,0x01,0xff,0x30,0x00,
+ 0x30,0x08,0x02,0x01,0xff,0x30,0x03,0x02,0x01,0x00,
+ 0x30,0x28,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x09,0x03,0x80,0xfe,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x09,0x01,0x42,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x01,0x01,0x01,
+ 0x30,0x26,0x02,0x21,0x00,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3b,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41,0x01,0x01,0x00,
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+ 0x30,0x45,0x02,0x21,0x00,0xe9,0x4d,0xbd,0xc3,0x87,0x95,0xfe,0x5c,0x90,0x4d,0x8f,0x16,0xd9,0x69,0xd3,0xb5,0x87,0xf0,0xa2,0x5d,0x2d,0xe9,0x0b,0x6d,0x8c,0x5c,0x53,0xff,0x88,0x7e,0x36,0x07,0x02,0x20,0x7a,0x94,0x73,0x69,0xc1,0x64,0x97,0x25,0x21,0xbb,0x8a,0xf4,0x06,0x81,0x3b,0x2d,0x9f,0x94,0xd2,0xae,0xaa,0x53,0xd4,0xc2,0x15,0xaa,0xa0,0xa2,0x57,0x8a,0x2c,0x5d,
+ 0x30,0x44,0x02,0x20,0x49,0xfc,0x10,0x2a,0x08,0xca,0x47,0xb6,0x0e,0x08,0x58,0xcd,0x02,0x84,0xd2,0x2c,0xdd,0xd7,0x23,0x3f,0x94,0xaa,0xff,0xbb,0x2d,0xb1,0xdd,0x2c,0xf0,0x84,0x25,0xe1,0x02,0x20,0x5b,0x16,0xfc,0xa5,0xa1,0x2c,0xdb,0x39,0x70,0x16,0x97,0xad,0x8e,0x39,0xff,0xd6,0xbd,0xec,0x00,0x24,0x29,0x8a,0xfa,0xa2,0x32,0x6a,0xea,0x09,0x20,0x0b,0x14,0xd6,
+ 0x30,0x44,0x02,0x20,0x41,0xef,0xa7,0xd3,0xf0,0x5a,0x00,0x10,0x67,0x5f,0xcb,0x91,0x8a,0x45,0xc6,0x93,0xda,0x4b,0x34,0x8d,0xf2,0x1a,0x59,0xd6,0xf9,0xcd,0x73,0xe0,0xd8,0x31,0xd6,0x7a,0x02,0x20,0x44,0x54,0xad,0xa6,0x93,0xe5,0xe2,0x6b,0x7b,0xd6,0x93,0x23,0x6d,0x34,0x0f,0x80,0x54,0x5c,0x83,0x45,0x77,0xb6,0xf7,0x3d,0x37,0x8c,0x7b,0xcc,0x53,0x42,0x44,0xda,
+ 0x30,0x45,0x02,0x21,0x00,0xb6,0x15,0x69,0x8c,0x35,0x8b,0x35,0x92,0x0d,0xd8,0x83,0xec,0xa6,0x25,0xa6,0xc5,0xf7,0x56,0x39,0x70,0xcd,0xfc,0x37,0x8f,0x8f,0xe0,0xce,0xe1,0x70,0x92,0x14,0x4c,0x02,0x20,0x25,0xf4,0x7b,0x32,0x6b,0x5b,0xe1,0xfb,0x61,0x0b,0x88,0x51,0x53,0xea,0x84,0xd4,0x1e,0xb4,0x71,0x6b,0xe6,0x6a,0x99,0x4e,0x87,0x79,0x98,0x9d,0xf1,0xc8,0x63,0xd4,
+ 0x30,0x45,0x02,0x21,0x00,0x87,0xcf,0x8c,0x0e,0xb8,0x2d,0x44,0xf6,0x9c,0x60,0xa2,0xff,0x54,0x57,0xd3,0xaa,0xa3,0x22,0xe7,0xec,0x61,0xae,0x5a,0xec,0xfd,0x67,0x8a,0xe1,0xc1,0x93,0x2b,0x0e,0x02,0x20,0x3a,0xdd,0x3b,0x11,0x58,0x15,0x04,0x7d,0x6e,0xb3,0x40,0xa3,0xe0,0x08,0x98,0x9e,0xaa,0x0f,0x87,0x08,0xd1,0x79,0x48,0x14,0x72,0x90,0x94,0xd0,0x8d,0x24,0x60,0xd3,
+ 0x30,0x44,0x02,0x20,0x62,0xf4,0x8e,0xf7,0x1a,0xce,0x27,0xbf,0x5a,0x01,0x83,0x4d,0xe1,0xf7,0xe3,0xf9,0x48,0xb9,0xdc,0xe1,0xca,0x1e,0x91,0x1d,0x5e,0x13,0xd3,0xb1,0x04,0x47,0x1d,0x82,0x02,0x20,0x5e,0xa8,0xf3,0x3f,0x0c,0x77,0x89,0x72,0xc4,0x58,0x20,0x80,0xde,0xda,0x9b,0x34,0x18,0x57,0xdd,0x64,0x51,0x4f,0x08,0x49,0xa0,0x5f,0x69,0x64,0xc2,0xe3,0x40,0x22,
+ 0x30,0x45,0x02,0x21,0x00,0xf6,0xb0,0xe2,0xf6,0xfe,0x02,0x0c,0xf7,0xc0,0xc2,0x01,0x37,0x43,0x43,0x44,0xed,0x7a,0xdd,0x6c,0x4b,0xe5,0x18,0x61,0xe2,0xd1,0x4c,0xbd,0xa4,0x72,0xa6,0xff,0xb4,0x02,0x20,0x64,0x16,0xc8,0xdd,0x3e,0x5c,0x52,0x82,0xb3,0x06,0xe8,0xdc,0x8f,0xf3,0x4a,0xb6,0x4c,0xc9,0x95,0x49,0x23,0x2d,0x67,0x8d,0x71,0x44,0x02,0xeb,0x6c,0xa7,0xaa,0x0f,
+ 0x30,0x45,0x02,0x21,0x00,0xdb,0x09,0xd8,0x46,0x0f,0x05,0xef,0xf2,0x3b,0xc7,0xe4,0x36,0xb6,0x7d,0xa5,0x63,0xfa,0x4b,0x4e,0xdb,0x58,0xac,0x24,0xce,0x20,0x1f,0xa8,0xa3,0x58,0x12,0x50,0x57,0x02,0x20,0x46,0xda,0x11,0x67,0x54,0x60,0x29,0x40,0xc8,0x99,0x9c,0x8d,0x66,0x5f,0x78,0x6c,0x50,0xf5,0x77,0x2c,0x0a,0x3c,0xdb,0xda,0x07,0x5e,0x77,0xea,0xbc,0x64,0xdf,0x16,
+ 0x30,0x44,0x02,0x20,0x59,0x2c,0x41,0xe1,0x65,0x17,0xf1,0x2f,0xca,0xbd,0x98,0x26,0x76,0x74,0xf9,0x74,0xb5,0x88,0xe9,0xf3,0x5d,0x35,0x40,0x6c,0x1a,0x7b,0xb2,0xed,0x1d,0x19,0xb7,0xb8,0x02,0x20,0x3e,0x65,0xa0,0x6b,0xd9,0xf8,0x3c,0xaa,0xeb,0x7b,0x00,0xf2,0x36,0x8d,0x7e,0x0d,0xec,0xe6,0xb1,0x22,0x21,0x26,0x9a,0x9b,0x5b,0x76,0x51,0x98,0xf8,0x40,0xa3,0xa1,
+ 0x30,0x45,0x02,0x21,0x00,0xbe,0x0d,0x70,0x88,0x7d,0x5e,0x40,0x82,0x1a,0x61,0xb6,0x80,0x47,0xde,0x4e,0xa0,0x3d,0xeb,0xfd,0xf5,0x1c,0xdf,0x4d,0x4b,0x19,0x55,0x58,0xb9,0x59,0xa0,0x32,0xb2,0x02,0x20,0x7d,0x99,0x4b,0x2d,0x8f,0x1d,0xbb,0xeb,0x13,0x53,0x4e,0xb3,0xf6,0xe5,0xdc,0xcd,0x85,0xf5,0xc4,0x13,0x3c,0x27,0xd9,0xe6,0x42,0x71,0xb1,0x82,0x6c,0xe1,0xf6,0x7d,
+ 0x30,0x45,0x02,0x21,0x00,0xfa,0xe9,0x2d,0xfc,0xb2,0xee,0x39,0x2d,0x27,0x0a,0xf3,0xa5,0x73,0x9f,0xaa,0x26,0xd4,0xf9,0x7b,0xfd,0x39,0xed,0x3c,0xbe,0xe4,0xd2,0x9e,0x26,0xaf,0x3b,0x20,0x6a,0x02,0x20,0x6c,0x9b,0xa3,0x7f,0x9f,0xaa,0x6a,0x1f,0xd3,0xf6,0x5f,0x23,0xb4,0xe8,0x53,0xd4,0x69,0x2a,0x72,0x74,0x24,0x0a,0x12,0xdb,0x7b,0xa3,0x88,0x48,0x30,0x63,0x0d,0x16,
+ 0x30,0x44,0x02,0x20,0x17,0x6a,0x25,0x57,0x56,0x6f,0xfa,0x51,0x8b,0x11,0x22,0x66,0x94,0xeb,0x98,0x02,0xed,0x20,0x98,0xbf,0xe2,0x78,0xe5,0x57,0x0f,0xe1,0xd5,0xd7,0xaf,0x18,0xa9,0x43,0x02,0x20,0x12,0x91,0xdf,0x6a,0x0e,0xd5,0xfc,0x0d,0x15,0x09,0x8e,0x70,0xbc,0xf1,0x3a,0x00,0x92,0x84,0xdf,0xd0,0x68,0x9d,0x3b,0xb4,0xbe,0x6c,0xee,0xb9,0xbe,0x14,0x87,0xc4,
+ 0x30,0x44,0x02,0x20,0x60,0xbe,0x20,0xc3,0xdb,0xc1,0x62,0xdd,0x34,0xd2,0x67,0x80,0x62,0x1c,0x10,0x4b,0xbe,0x5d,0xac,0xe6,0x30,0x17,0x1b,0x2d,0xae,0xf0,0xd8,0x26,0x40,0x9e,0xe5,0xc2,0x02,0x20,0x42,0x7f,0x7e,0x4d,0x88,0x9d,0x54,0x91,0x70,0xbd,0xa6,0xa9,0x40,0x9f,0xb1,0xcb,0x8b,0x0e,0x76,0x3d,0x13,0xee,0xa7,0xbd,0x97,0xf6,0x4c,0xf4,0x1d,0xc6,0xe4,0x97,
+ 0x30,0x45,0x02,0x21,0x00,0xed,0xf0,0x3c,0xf6,0x3f,0x65,0x88,0x83,0x28,0x9a,0x1a,0x59,0x3d,0x10,0x07,0x89,0x5b,0x9f,0x23,0x6d,0x27,0xc9,0xc1,0xf1,0x31,0x30,0x89,0xaa,0xed,0x6b,0x16,0xae,0x02,0x20,0x1a,0x4d,0xd6,0xfc,0x08,0x14,0xdc,0x52,0x3d,0x1f,0xef,0xa8,0x1c,0x64,0xfb,0xf5,0xe6,0x18,0xe6,0x51,0xe7,0x09,0x6f,0xcc,0xad,0xbb,0x94,0xcd,0x48,0xe5,0xe0,0xcd};
+
+static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = {
+ /* tcId: 1. Signature malleability */
+ {0, 0, 6, 0, 72, 0 },
+ /* tcId: 2. valid */
+ {0, 0, 6, 72, 71, 1 },
+ /* tcId: 3. length of sequence [r, s] uses long form encoding */
+ {0, 0, 6, 143, 72, 0 },
+ /* tcId: 4. length of sequence [r, s] contains a leading 0 */
+ {0, 0, 6, 215, 73, 0 },
+ /* tcId: 5. length of sequence [r, s] uses 70 instead of 69 */
+ {0, 0, 6, 288, 71, 0 },
+ /* tcId: 6. length of sequence [r, s] uses 68 instead of 69 */
+ {0, 0, 6, 359, 71, 0 },
+ /* tcId: 7. uint32 overflow in length of sequence [r, s] */
+ {0, 0, 6, 430, 76, 0 },
+ /* tcId: 8. uint64 overflow in length of sequence [r, s] */
+ {0, 0, 6, 506, 80, 0 },
+ /* tcId: 9. length of sequence [r, s] = 2**31 - 1 */
+ {0, 0, 6, 586, 75, 0 },
+ /* tcId: 10. length of sequence [r, s] = 2**31 */
+ {0, 0, 6, 661, 75, 0 },
+ /* tcId: 11. length of sequence [r, s] = 2**32 - 1 */
+ {0, 0, 6, 736, 75, 0 },
+ /* tcId: 12. length of sequence [r, s] = 2**40 - 1 */
+ {0, 0, 6, 811, 76, 0 },
+ /* tcId: 13. length of sequence [r, s] = 2**64 - 1 */
+ {0, 0, 6, 887, 79, 0 },
+ /* tcId: 14. incorrect length of sequence [r, s] */
+ {0, 0, 6, 966, 71, 0 },
+ /* tcId: 15. replaced sequence [r, s] by an indefinite length tag without termination */
+ {0, 0, 6, 1037, 71, 0 },
+ /* tcId: 16. removing sequence [r, s] */
+ {0, 0, 6, 1108, 0, 0 },
+ /* tcId: 17. lonely sequence tag */
+ {0, 0, 6, 1108, 1, 0 },
+ /* tcId: 18. appending 0's to sequence [r, s] */
+ {0, 0, 6, 1109, 73, 0 },
+ /* tcId: 19. prepending 0's to sequence [r, s] */
+ {0, 0, 6, 1182, 73, 0 },
+ /* tcId: 20. appending unused 0's to sequence [r, s] */
+ {0, 0, 6, 1255, 73, 0 },
+ /* tcId: 21. appending null value to sequence [r, s] */
+ {0, 0, 6, 1328, 73, 0 },
+ /* tcId: 22. prepending garbage to sequence [r, s] */
+ {0, 0, 6, 1401, 76, 0 },
+ /* tcId: 23. prepending garbage to sequence [r, s] */
+ {0, 0, 6, 1477, 75, 0 },
+ /* tcId: 24. appending garbage to sequence [r, s] */
+ {0, 0, 6, 1552, 79, 0 },
+ /* tcId: 25. including undefined tags */
+ {0, 0, 6, 1631, 79, 0 },
+ /* tcId: 26. including undefined tags */
+ {0, 0, 6, 1710, 79, 0 },
+ /* tcId: 27. including undefined tags */
+ {0, 0, 6, 1789, 79, 0 },
+ /* tcId: 28. truncated length of sequence [r, s] */
+ {0, 0, 6, 1868, 2, 0 },
+ /* tcId: 29. including undefined tags to sequence [r, s] */
+ {0, 0, 6, 1870, 77, 0 },
+ /* tcId: 30. using composition with indefinite length for sequence [r, s] */
+ {0, 0, 6, 1947, 75, 0 },
+ /* tcId: 31. using composition with wrong tag for sequence [r, s] */
+ {0, 0, 6, 2022, 75, 0 },
+ /* tcId: 32. Replacing sequence [r, s] with NULL */
+ {0, 0, 6, 2097, 2, 0 },
+ /* tcId: 33. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2099, 71, 0 },
+ /* tcId: 34. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2170, 71, 0 },
+ /* tcId: 35. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2241, 71, 0 },
+ /* tcId: 36. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2312, 71, 0 },
+ /* tcId: 37. changing tag value of sequence [r, s] */
+ {0, 0, 6, 2383, 71, 0 },
+ /* tcId: 38. dropping value of sequence [r, s] */
+ {0, 0, 6, 2454, 2, 0 },
+ /* tcId: 39. using composition for sequence [r, s] */
+ {0, 0, 6, 2456, 75, 0 },
+ /* tcId: 40. truncated sequence [r, s] */
+ {0, 0, 6, 2531, 70, 0 },
+ /* tcId: 41. truncated sequence [r, s] */
+ {0, 0, 6, 2601, 70, 0 },
+ /* tcId: 42. sequence [r, s] of size 4166 to check for overflows */
+ {0, 0, 6, 2671, 4170, 0 },
+ /* tcId: 43. indefinite length */
+ {0, 0, 6, 6841, 73, 0 },
+ /* tcId: 44. indefinite length with truncated delimiter */
+ {0, 0, 6, 6914, 72, 0 },
+ /* tcId: 45. indefinite length with additional element */
+ {0, 0, 6, 6986, 75, 0 },
+ /* tcId: 46. indefinite length with truncated element */
+ {0, 0, 6, 7061, 77, 0 },
+ /* tcId: 47. indefinite length with garbage */
+ {0, 0, 6, 7138, 77, 0 },
+ /* tcId: 48. indefinite length with nonempty EOC */
+ {0, 0, 6, 7215, 75, 0 },
+ /* tcId: 49. prepend empty sequence */
+ {0, 0, 6, 7290, 73, 0 },
+ /* tcId: 50. append empty sequence */
+ {0, 0, 6, 7363, 73, 0 },
+ /* tcId: 51. append zero */
+ {0, 0, 6, 7436, 74, 0 },
+ /* tcId: 52. append garbage with high tag number */
+ {0, 0, 6, 7510, 74, 0 },
+ /* tcId: 53. append null with explicit tag */
+ {0, 0, 6, 7584, 75, 0 },
+ /* tcId: 54. append null with implicit tag */
+ {0, 0, 6, 7659, 73, 0 },
+ /* tcId: 55. sequence of sequence */
+ {0, 0, 6, 7732, 73, 0 },
+ /* tcId: 56. truncated sequence: removed last 1 elements */
+ {0, 0, 6, 7805, 37, 0 },
+ /* tcId: 57. repeating element in sequence */
+ {0, 0, 6, 7842, 105, 0 },
+ /* tcId: 58. flipped bit 0 in r */
+ {0, 0, 6, 7947, 69, 0 },
+ /* tcId: 59. flipped bit 32 in r */
+ {0, 0, 6, 8016, 69, 0 },
+ /* tcId: 60. flipped bit 48 in r */
+ {0, 0, 6, 8085, 69, 0 },
+ /* tcId: 61. flipped bit 64 in r */
+ {0, 0, 6, 8154, 69, 0 },
+ /* tcId: 62. length of r uses long form encoding */
+ {0, 0, 6, 8223, 72, 0 },
+ /* tcId: 63. length of r contains a leading 0 */
+ {0, 0, 6, 8295, 73, 0 },
+ /* tcId: 64. length of r uses 34 instead of 33 */
+ {0, 0, 6, 8368, 71, 0 },
+ /* tcId: 65. length of r uses 32 instead of 33 */
+ {0, 0, 6, 8439, 71, 0 },
+ /* tcId: 66. uint32 overflow in length of r */
+ {0, 0, 6, 8510, 76, 0 },
+ /* tcId: 67. uint64 overflow in length of r */
+ {0, 0, 6, 8586, 80, 0 },
+ /* tcId: 68. length of r = 2**31 - 1 */
+ {0, 0, 6, 8666, 75, 0 },
+ /* tcId: 69. length of r = 2**31 */
+ {0, 0, 6, 8741, 75, 0 },
+ /* tcId: 70. length of r = 2**32 - 1 */
+ {0, 0, 6, 8816, 75, 0 },
+ /* tcId: 71. length of r = 2**40 - 1 */
+ {0, 0, 6, 8891, 76, 0 },
+ /* tcId: 72. length of r = 2**64 - 1 */
+ {0, 0, 6, 8967, 79, 0 },
+ /* tcId: 73. incorrect length of r */
+ {0, 0, 6, 9046, 71, 0 },
+ /* tcId: 74. replaced r by an indefinite length tag without termination */
+ {0, 0, 6, 9117, 71, 0 },
+ /* tcId: 75. removing r */
+ {0, 0, 6, 9188, 36, 0 },
+ /* tcId: 76. lonely integer tag */
+ {0, 0, 6, 9224, 37, 0 },
+ /* tcId: 77. lonely integer tag */
+ {0, 0, 6, 9261, 38, 0 },
+ /* tcId: 78. appending 0's to r */
+ {0, 0, 6, 9299, 73, 0 },
+ /* tcId: 79. prepending 0's to r */
+ {0, 0, 6, 9372, 73, 0 },
+ /* tcId: 80. appending unused 0's to r */
+ {0, 0, 6, 9445, 73, 0 },
+ /* tcId: 81. appending null value to r */
+ {0, 0, 6, 9518, 73, 0 },
+ /* tcId: 82. prepending garbage to r */
+ {0, 0, 6, 9591, 76, 0 },
+ /* tcId: 83. prepending garbage to r */
+ {0, 0, 6, 9667, 75, 0 },
+ /* tcId: 84. appending garbage to r */
+ {0, 0, 6, 9742, 79, 0 },
+ /* tcId: 85. truncated length of r */
+ {0, 0, 6, 9821, 38, 0 },
+ /* tcId: 86. including undefined tags to r */
+ {0, 0, 6, 9859, 77, 0 },
+ /* tcId: 87. using composition with indefinite length for r */
+ {0, 0, 6, 9936, 75, 0 },
+ /* tcId: 88. using composition with wrong tag for r */
+ {0, 0, 6, 10011, 75, 0 },
+ /* tcId: 89. Replacing r with NULL */
+ {0, 0, 6, 10086, 38, 0 },
+ /* tcId: 90. changing tag value of r */
+ {0, 0, 6, 10124, 71, 0 },
+ /* tcId: 91. changing tag value of r */
+ {0, 0, 6, 10195, 71, 0 },
+ /* tcId: 92. changing tag value of r */
+ {0, 0, 6, 10266, 71, 0 },
+ /* tcId: 93. changing tag value of r */
+ {0, 0, 6, 10337, 71, 0 },
+ /* tcId: 94. changing tag value of r */
+ {0, 0, 6, 10408, 71, 0 },
+ /* tcId: 95. dropping value of r */
+ {0, 0, 6, 10479, 38, 0 },
+ /* tcId: 96. using composition for r */
+ {0, 0, 6, 10517, 75, 0 },
+ /* tcId: 97. modifying first byte of r */
+ {0, 0, 6, 10592, 71, 0 },
+ /* tcId: 98. modifying last byte of r */
+ {0, 0, 6, 10663, 71, 0 },
+ /* tcId: 99. truncated r */
+ {0, 0, 6, 10734, 70, 0 },
+ /* tcId: 100. truncated r */
+ {0, 0, 6, 10804, 70, 0 },
+ /* tcId: 101. r of size 4130 to check for overflows */
+ {0, 0, 6, 10874, 4172, 0 },
+ /* tcId: 102. leading ff in r */
+ {0, 0, 6, 15046, 72, 0 },
+ /* tcId: 103. replaced r by infinity */
+ {0, 0, 6, 15118, 39, 0 },
+ /* tcId: 104. replacing r with zero */
+ {0, 0, 6, 15157, 39, 0 },
+ /* tcId: 105. flipped bit 0 in s */
+ {0, 0, 6, 15196, 69, 0 },
+ /* tcId: 106. flipped bit 32 in s */
+ {0, 0, 6, 15265, 69, 0 },
+ /* tcId: 107. flipped bit 48 in s */
+ {0, 0, 6, 15334, 69, 0 },
+ /* tcId: 108. flipped bit 64 in s */
+ {0, 0, 6, 15403, 69, 0 },
+ /* tcId: 109. length of s uses long form encoding */
+ {0, 0, 6, 15472, 72, 0 },
+ /* tcId: 110. length of s contains a leading 0 */
+ {0, 0, 6, 15544, 73, 0 },
+ /* tcId: 111. length of s uses 33 instead of 32 */
+ {0, 0, 6, 15617, 71, 0 },
+ /* tcId: 112. length of s uses 31 instead of 32 */
+ {0, 0, 6, 15688, 71, 0 },
+ /* tcId: 113. uint32 overflow in length of s */
+ {0, 0, 6, 15759, 76, 0 },
+ /* tcId: 114. uint64 overflow in length of s */
+ {0, 0, 6, 15835, 80, 0 },
+ /* tcId: 115. length of s = 2**31 - 1 */
+ {0, 0, 6, 15915, 75, 0 },
+ /* tcId: 116. length of s = 2**31 */
+ {0, 0, 6, 15990, 75, 0 },
+ /* tcId: 117. length of s = 2**32 - 1 */
+ {0, 0, 6, 16065, 75, 0 },
+ /* tcId: 118. length of s = 2**40 - 1 */
+ {0, 0, 6, 16140, 76, 0 },
+ /* tcId: 119. length of s = 2**64 - 1 */
+ {0, 0, 6, 16216, 79, 0 },
+ /* tcId: 120. incorrect length of s */
+ {0, 0, 6, 16295, 71, 0 },
+ /* tcId: 121. replaced s by an indefinite length tag without termination */
+ {0, 0, 6, 16366, 71, 0 },
+ /* tcId: 122. appending 0's to s */
+ {0, 0, 6, 16437, 73, 0 },
+ /* tcId: 123. prepending 0's to s */
+ {0, 0, 6, 16510, 73, 0 },
+ /* tcId: 124. appending null value to s */
+ {0, 0, 6, 16583, 73, 0 },
+ /* tcId: 125. prepending garbage to s */
+ {0, 0, 6, 16656, 76, 0 },
+ /* tcId: 126. prepending garbage to s */
+ {0, 0, 6, 16732, 75, 0 },
+ /* tcId: 127. appending garbage to s */
+ {0, 0, 6, 16807, 79, 0 },
+ /* tcId: 128. truncated length of s */
+ {0, 0, 6, 16886, 39, 0 },
+ /* tcId: 129. including undefined tags to s */
+ {0, 0, 6, 16925, 77, 0 },
+ /* tcId: 130. using composition with indefinite length for s */
+ {0, 0, 6, 17002, 75, 0 },
+ /* tcId: 131. using composition with wrong tag for s */
+ {0, 0, 6, 17077, 75, 0 },
+ /* tcId: 132. Replacing s with NULL */
+ {0, 0, 6, 17152, 39, 0 },
+ /* tcId: 133. changing tag value of s */
+ {0, 0, 6, 17191, 71, 0 },
+ /* tcId: 134. changing tag value of s */
+ {0, 0, 6, 17262, 71, 0 },
+ /* tcId: 135. changing tag value of s */
+ {0, 0, 6, 17333, 71, 0 },
+ /* tcId: 136. changing tag value of s */
+ {0, 0, 6, 17404, 71, 0 },
+ /* tcId: 137. changing tag value of s */
+ {0, 0, 6, 17475, 71, 0 },
+ /* tcId: 138. dropping value of s */
+ {0, 0, 6, 17546, 39, 0 },
+ /* tcId: 139. using composition for s */
+ {0, 0, 6, 17585, 75, 0 },
+ /* tcId: 140. modifying first byte of s */
+ {0, 0, 6, 17660, 71, 0 },
+ /* tcId: 141. modifying last byte of s */
+ {0, 0, 6, 17731, 71, 0 },
+ /* tcId: 142. truncated s */
+ {0, 0, 6, 17802, 70, 0 },
+ /* tcId: 143. truncated s */
+ {0, 0, 6, 17872, 70, 0 },
+ /* tcId: 144. s of size 4129 to check for overflows */
+ {0, 0, 6, 17942, 4172, 0 },
+ /* tcId: 145. leading ff in s */
+ {0, 0, 6, 22114, 72, 0 },
+ /* tcId: 146. replaced s by infinity */
+ {0, 0, 6, 22186, 40, 0 },
+ /* tcId: 147. replacing s with zero */
+ {0, 0, 6, 22226, 40, 0 },
+ /* tcId: 148. replaced r by r + n */
+ {0, 0, 6, 22266, 71, 0 },
+ /* tcId: 149. replaced r by r - n */
+ {0, 0, 6, 22337, 70, 0 },
+ /* tcId: 150. replaced r by r + 256 * n */
+ {0, 0, 6, 22407, 72, 0 },
+ /* tcId: 151. replaced r by -r */
+ {0, 0, 6, 22479, 71, 0 },
+ /* tcId: 152. replaced r by n - r */
+ {0, 0, 6, 22550, 70, 0 },
+ /* tcId: 153. replaced r by -n - r */
+ {0, 0, 6, 22620, 71, 0 },
+ /* tcId: 154. replaced r by r + 2**256 */
+ {0, 0, 6, 22691, 71, 0 },
+ /* tcId: 155. replaced r by r + 2**320 */
+ {0, 0, 6, 22762, 79, 0 },
+ /* tcId: 156. replaced s by s + n */
+ {0, 0, 6, 22841, 71, 0 },
+ /* tcId: 157. replaced s by s - n */
+ {0, 0, 6, 22912, 71, 0 },
+ /* tcId: 158. replaced s by s + 256 * n */
+ {0, 0, 6, 22983, 72, 0 },
+ /* tcId: 159. replaced s by -s */
+ {0, 0, 6, 23055, 70, 0 },
+ /* tcId: 160. replaced s by -n - s */
+ {0, 0, 6, 23125, 71, 0 },
+ /* tcId: 161. replaced s by s + 2**256 */
+ {0, 0, 6, 23196, 71, 0 },
+ /* tcId: 162. replaced s by s - 2**256 */
+ {0, 0, 6, 23267, 71, 0 },
+ /* tcId: 163. replaced s by s + 2**320 */
+ {0, 0, 6, 23338, 79, 0 },
+ /* tcId: 164. Signature with special case values r=0 and s=0 */
+ {0, 0, 6, 23417, 8, 0 },
+ /* tcId: 165. Signature with special case values r=0 and s=1 */
+ {0, 0, 6, 23425, 8, 0 },
+ /* tcId: 166. Signature with special case values r=0 and s=-1 */
+ {0, 0, 6, 23433, 8, 0 },
+ /* tcId: 167. Signature with special case values r=0 and s=n */
+ {0, 0, 6, 23441, 40, 0 },
+ /* tcId: 168. Signature with special case values r=0 and s=n - 1 */
+ {0, 0, 6, 23481, 40, 0 },
+ /* tcId: 169. Signature with special case values r=0 and s=n + 1 */
+ {0, 0, 6, 23521, 40, 0 },
+ /* tcId: 170. Signature with special case values r=0 and s=p */
+ {0, 0, 6, 23561, 40, 0 },
+ /* tcId: 171. Signature with special case values r=0 and s=p + 1 */
+ {0, 0, 6, 23601, 40, 0 },
+ /* tcId: 172. Signature with special case values r=1 and s=0 */
+ {0, 0, 6, 23641, 8, 0 },
+ /* tcId: 173. Signature with special case values r=1 and s=1 */
+ {0, 0, 6, 23649, 8, 0 },
+ /* tcId: 174. Signature with special case values r=1 and s=-1 */
+ {0, 0, 6, 23657, 8, 0 },
+ /* tcId: 175. Signature with special case values r=1 and s=n */
+ {0, 0, 6, 23665, 40, 0 },
+ /* tcId: 176. Signature with special case values r=1 and s=n - 1 */
+ {0, 0, 6, 23705, 40, 0 },
+ /* tcId: 177. Signature with special case values r=1 and s=n + 1 */
+ {0, 0, 6, 23745, 40, 0 },
+ /* tcId: 178. Signature with special case values r=1 and s=p */
+ {0, 0, 6, 23785, 40, 0 },
+ /* tcId: 179. Signature with special case values r=1 and s=p + 1 */
+ {0, 0, 6, 23825, 40, 0 },
+ /* tcId: 180. Signature with special case values r=-1 and s=0 */
+ {0, 0, 6, 23865, 8, 0 },
+ /* tcId: 181. Signature with special case values r=-1 and s=1 */
+ {0, 0, 6, 23873, 8, 0 },
+ /* tcId: 182. Signature with special case values r=-1 and s=-1 */
+ {0, 0, 6, 23881, 8, 0 },
+ /* tcId: 183. Signature with special case values r=-1 and s=n */
+ {0, 0, 6, 23889, 40, 0 },
+ /* tcId: 184. Signature with special case values r=-1 and s=n - 1 */
+ {0, 0, 6, 23929, 40, 0 },
+ /* tcId: 185. Signature with special case values r=-1 and s=n + 1 */
+ {0, 0, 6, 23969, 40, 0 },
+ /* tcId: 186. Signature with special case values r=-1 and s=p */
+ {0, 0, 6, 24009, 40, 0 },
+ /* tcId: 187. Signature with special case values r=-1 and s=p + 1 */
+ {0, 0, 6, 24049, 40, 0 },
+ /* tcId: 188. Signature with special case values r=n and s=0 */
+ {0, 0, 6, 24089, 40, 0 },
+ /* tcId: 189. Signature with special case values r=n and s=1 */
+ {0, 0, 6, 24129, 40, 0 },
+ /* tcId: 190. Signature with special case values r=n and s=-1 */
+ {0, 0, 6, 24169, 40, 0 },
+ /* tcId: 191. Signature with special case values r=n and s=n */
+ {0, 0, 6, 24209, 72, 0 },
+ /* tcId: 192. Signature with special case values r=n and s=n - 1 */
+ {0, 0, 6, 24281, 72, 0 },
+ /* tcId: 193. Signature with special case values r=n and s=n + 1 */
+ {0, 0, 6, 24353, 72, 0 },
+ /* tcId: 194. Signature with special case values r=n and s=p */
+ {0, 0, 6, 24425, 72, 0 },
+ /* tcId: 195. Signature with special case values r=n and s=p + 1 */
+ {0, 0, 6, 24497, 72, 0 },
+ /* tcId: 196. Signature with special case values r=n - 1 and s=0 */
+ {0, 0, 6, 24569, 40, 0 },
+ /* tcId: 197. Signature with special case values r=n - 1 and s=1 */
+ {0, 0, 6, 24609, 40, 0 },
+ /* tcId: 198. Signature with special case values r=n - 1 and s=-1 */
+ {0, 0, 6, 24649, 40, 0 },
+ /* tcId: 199. Signature with special case values r=n - 1 and s=n */
+ {0, 0, 6, 24689, 72, 0 },
+ /* tcId: 200. Signature with special case values r=n - 1 and s=n - 1 */
+ {0, 0, 6, 24761, 72, 0 },
+ /* tcId: 201. Signature with special case values r=n - 1 and s=n + 1 */
+ {0, 0, 6, 24833, 72, 0 },
+ /* tcId: 202. Signature with special case values r=n - 1 and s=p */
+ {0, 0, 6, 24905, 72, 0 },
+ /* tcId: 203. Signature with special case values r=n - 1 and s=p + 1 */
+ {0, 0, 6, 24977, 72, 0 },
+ /* tcId: 204. Signature with special case values r=n + 1 and s=0 */
+ {0, 0, 6, 25049, 40, 0 },
+ /* tcId: 205. Signature with special case values r=n + 1 and s=1 */
+ {0, 0, 6, 25089, 40, 0 },
+ /* tcId: 206. Signature with special case values r=n + 1 and s=-1 */
+ {0, 0, 6, 25129, 40, 0 },
+ /* tcId: 207. Signature with special case values r=n + 1 and s=n */
+ {0, 0, 6, 25169, 72, 0 },
+ /* tcId: 208. Signature with special case values r=n + 1 and s=n - 1 */
+ {0, 0, 6, 25241, 72, 0 },
+ /* tcId: 209. Signature with special case values r=n + 1 and s=n + 1 */
+ {0, 0, 6, 25313, 72, 0 },
+ /* tcId: 210. Signature with special case values r=n + 1 and s=p */
+ {0, 0, 6, 25385, 72, 0 },
+ /* tcId: 211. Signature with special case values r=n + 1 and s=p + 1 */
+ {0, 0, 6, 25457, 72, 0 },
+ /* tcId: 212. Signature with special case values r=p and s=0 */
+ {0, 0, 6, 25529, 40, 0 },
+ /* tcId: 213. Signature with special case values r=p and s=1 */
+ {0, 0, 6, 25569, 40, 0 },
+ /* tcId: 214. Signature with special case values r=p and s=-1 */
+ {0, 0, 6, 25609, 40, 0 },
+ /* tcId: 215. Signature with special case values r=p and s=n */
+ {0, 0, 6, 25649, 72, 0 },
+ /* tcId: 216. Signature with special case values r=p and s=n - 1 */
+ {0, 0, 6, 25721, 72, 0 },
+ /* tcId: 217. Signature with special case values r=p and s=n + 1 */
+ {0, 0, 6, 25793, 72, 0 },
+ /* tcId: 218. Signature with special case values r=p and s=p */
+ {0, 0, 6, 25865, 72, 0 },
+ /* tcId: 219. Signature with special case values r=p and s=p + 1 */
+ {0, 0, 6, 25937, 72, 0 },
+ /* tcId: 220. Signature with special case values r=p + 1 and s=0 */
+ {0, 0, 6, 26009, 40, 0 },
+ /* tcId: 221. Signature with special case values r=p + 1 and s=1 */
+ {0, 0, 6, 26049, 40, 0 },
+ /* tcId: 222. Signature with special case values r=p + 1 and s=-1 */
+ {0, 0, 6, 26089, 40, 0 },
+ /* tcId: 223. Signature with special case values r=p + 1 and s=n */
+ {0, 0, 6, 26129, 72, 0 },
+ /* tcId: 224. Signature with special case values r=p + 1 and s=n - 1 */
+ {0, 0, 6, 26201, 72, 0 },
+ /* tcId: 225. Signature with special case values r=p + 1 and s=n + 1 */
+ {0, 0, 6, 26273, 72, 0 },
+ /* tcId: 226. Signature with special case values r=p + 1 and s=p */
+ {0, 0, 6, 26345, 72, 0 },
+ /* tcId: 227. Signature with special case values r=p + 1 and s=p + 1 */
+ {0, 0, 6, 26417, 72, 0 },
+ /* tcId: 228. Signature encoding contains incorrect types: r=0, s=0.25 */
+ {0, 0, 6, 26489, 10, 0 },
+ /* tcId: 229. Signature encoding contains incorrect types: r=0, s=nan */
+ {0, 0, 6, 26499, 8, 0 },
+ /* tcId: 230. Signature encoding contains incorrect types: r=0, s=True */
+ {0, 0, 6, 26507, 8, 0 },
+ /* tcId: 231. Signature encoding contains incorrect types: r=0, s=False */
+ {0, 0, 6, 26515, 8, 0 },
+ /* tcId: 232. Signature encoding contains incorrect types: r=0, s=Null */
+ {0, 0, 6, 26523, 7, 0 },
+ /* tcId: 233. Signature encoding contains incorrect types: r=0, s=empyt UTF-8 string */
+ {0, 0, 6, 26530, 7, 0 },
+ /* tcId: 234. Signature encoding contains incorrect types: r=0, s="0" */
+ {0, 0, 6, 26537, 8, 0 },
+ /* tcId: 235. Signature encoding contains incorrect types: r=0, s=empty list */
+ {0, 0, 6, 26545, 7, 0 },
+ /* tcId: 236. Signature encoding contains incorrect types: r=0, s=list containing 0 */
+ {0, 0, 6, 26552, 10, 0 },
+ /* tcId: 237. Signature encoding contains incorrect types: r=1, s=0.25 */
+ {0, 0, 6, 26562, 10, 0 },
+ /* tcId: 238. Signature encoding contains incorrect types: r=1, s=nan */
+ {0, 0, 6, 26572, 8, 0 },
+ /* tcId: 239. Signature encoding contains incorrect types: r=1, s=True */
+ {0, 0, 6, 26580, 8, 0 },
+ /* tcId: 240. Signature encoding contains incorrect types: r=1, s=False */
+ {0, 0, 6, 26588, 8, 0 },
+ /* tcId: 241. Signature encoding contains incorrect types: r=1, s=Null */
+ {0, 0, 6, 26596, 7, 0 },
+ /* tcId: 242. Signature encoding contains incorrect types: r=1, s=empyt UTF-8 string */
+ {0, 0, 6, 26603, 7, 0 },
+ /* tcId: 243. Signature encoding contains incorrect types: r=1, s="0" */
+ {0, 0, 6, 26610, 8, 0 },
+ /* tcId: 244. Signature encoding contains incorrect types: r=1, s=empty list */
+ {0, 0, 6, 26618, 7, 0 },
+ /* tcId: 245. Signature encoding contains incorrect types: r=1, s=list containing 0 */
+ {0, 0, 6, 26625, 10, 0 },
+ /* tcId: 246. Signature encoding contains incorrect types: r=-1, s=0.25 */
+ {0, 0, 6, 26635, 10, 0 },
+ /* tcId: 247. Signature encoding contains incorrect types: r=-1, s=nan */
+ {0, 0, 6, 26645, 8, 0 },
+ /* tcId: 248. Signature encoding contains incorrect types: r=-1, s=True */
+ {0, 0, 6, 26653, 8, 0 },
+ /* tcId: 249. Signature encoding contains incorrect types: r=-1, s=False */
+ {0, 0, 6, 26661, 8, 0 },
+ /* tcId: 250. Signature encoding contains incorrect types: r=-1, s=Null */
+ {0, 0, 6, 26669, 7, 0 },
+ /* tcId: 251. Signature encoding contains incorrect types: r=-1, s=empyt UTF-8 string */
+ {0, 0, 6, 26676, 7, 0 },
+ /* tcId: 252. Signature encoding contains incorrect types: r=-1, s="0" */
+ {0, 0, 6, 26683, 8, 0 },
+ /* tcId: 253. Signature encoding contains incorrect types: r=-1, s=empty list */
+ {0, 0, 6, 26691, 7, 0 },
+ /* tcId: 254. Signature encoding contains incorrect types: r=-1, s=list containing 0 */
+ {0, 0, 6, 26698, 10, 0 },
+ /* tcId: 255. Signature encoding contains incorrect types: r=n, s=0.25 */
+ {0, 0, 6, 26708, 42, 0 },
+ /* tcId: 256. Signature encoding contains incorrect types: r=n, s=nan */
+ {0, 0, 6, 26750, 40, 0 },
+ /* tcId: 257. Signature encoding contains incorrect types: r=n, s=True */
+ {0, 0, 6, 26790, 40, 0 },
+ /* tcId: 258. Signature encoding contains incorrect types: r=n, s=False */
+ {0, 0, 6, 26830, 40, 0 },
+ /* tcId: 259. Signature encoding contains incorrect types: r=n, s=Null */
+ {0, 0, 6, 26870, 39, 0 },
+ /* tcId: 260. Signature encoding contains incorrect types: r=n, s=empyt UTF-8 string */
+ {0, 0, 6, 26909, 39, 0 },
+ /* tcId: 261. Signature encoding contains incorrect types: r=n, s="0" */
+ {0, 0, 6, 26948, 40, 0 },
+ /* tcId: 262. Signature encoding contains incorrect types: r=n, s=empty list */
+ {0, 0, 6, 26988, 39, 0 },
+ /* tcId: 263. Signature encoding contains incorrect types: r=n, s=list containing 0 */
+ {0, 0, 6, 27027, 42, 0 },
+ /* tcId: 264. Signature encoding contains incorrect types: r=p, s=0.25 */
+ {0, 0, 6, 27069, 42, 0 },
+ /* tcId: 265. Signature encoding contains incorrect types: r=p, s=nan */
+ {0, 0, 6, 27111, 40, 0 },
+ /* tcId: 266. Signature encoding contains incorrect types: r=p, s=True */
+ {0, 0, 6, 27151, 40, 0 },
+ /* tcId: 267. Signature encoding contains incorrect types: r=p, s=False */
+ {0, 0, 6, 27191, 40, 0 },
+ /* tcId: 268. Signature encoding contains incorrect types: r=p, s=Null */
+ {0, 0, 6, 27231, 39, 0 },
+ /* tcId: 269. Signature encoding contains incorrect types: r=p, s=empyt UTF-8 string */
+ {0, 0, 6, 27270, 39, 0 },
+ /* tcId: 270. Signature encoding contains incorrect types: r=p, s="0" */
+ {0, 0, 6, 27309, 40, 0 },
+ /* tcId: 271. Signature encoding contains incorrect types: r=p, s=empty list */
+ {0, 0, 6, 27349, 39, 0 },
+ /* tcId: 272. Signature encoding contains incorrect types: r=p, s=list containing 0 */
+ {0, 0, 6, 27388, 42, 0 },
+ /* tcId: 273. Signature encoding contains incorrect types: r=0.25, s=0.25 */
+ {0, 0, 6, 27430, 12, 0 },
+ /* tcId: 274. Signature encoding contains incorrect types: r=nan, s=nan */
+ {0, 0, 6, 27442, 8, 0 },
+ /* tcId: 275. Signature encoding contains incorrect types: r=True, s=True */
+ {0, 0, 6, 27450, 8, 0 },
+ /* tcId: 276. Signature encoding contains incorrect types: r=False, s=False */
+ {0, 0, 6, 27458, 8, 0 },
+ /* tcId: 277. Signature encoding contains incorrect types: r=Null, s=Null */
+ {0, 0, 6, 27466, 6, 0 },
+ /* tcId: 278. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=empyt UTF-8 string */
+ {0, 0, 6, 27472, 6, 0 },
+ /* tcId: 279. Signature encoding contains incorrect types: r="0", s="0" */
+ {0, 0, 6, 27478, 8, 0 },
+ /* tcId: 280. Signature encoding contains incorrect types: r=empty list, s=empty list */
+ {0, 0, 6, 27486, 6, 0 },
+ /* tcId: 281. Signature encoding contains incorrect types: r=list containing 0, s=list containing 0 */
+ {0, 0, 6, 27492, 12, 0 },
+ /* tcId: 282. Signature encoding contains incorrect types: r=0.25, s=0 */
+ {0, 0, 6, 27504, 10, 0 },
+ /* tcId: 283. Signature encoding contains incorrect types: r=nan, s=0 */
+ {0, 0, 6, 27514, 8, 0 },
+ /* tcId: 284. Signature encoding contains incorrect types: r=True, s=0 */
+ {0, 0, 6, 27522, 8, 0 },
+ /* tcId: 285. Signature encoding contains incorrect types: r=False, s=0 */
+ {0, 0, 6, 27530, 8, 0 },
+ /* tcId: 286. Signature encoding contains incorrect types: r=Null, s=0 */
+ {0, 0, 6, 27538, 7, 0 },
+ /* tcId: 287. Signature encoding contains incorrect types: r=empyt UTF-8 string, s=0 */
+ {0, 0, 6, 27545, 7, 0 },
+ /* tcId: 288. Signature encoding contains incorrect types: r="0", s=0 */
+ {0, 0, 6, 27552, 8, 0 },
+ /* tcId: 289. Signature encoding contains incorrect types: r=empty list, s=0 */
+ {0, 0, 6, 27560, 7, 0 },
+ /* tcId: 290. Signature encoding contains incorrect types: r=list containing 0, s=0 */
+ {0, 0, 6, 27567, 10, 0 },
+ /* tcId: 291. Edge case for Shamir multiplication */
+ {0, 6, 5, 27577, 71, 1 },
+ /* tcId: 292. special case hash */
+ {0, 11, 9, 27648, 71, 1 },
+ /* tcId: 293. special case hash */
+ {0, 20, 10, 27719, 70, 1 },
+ /* tcId: 294. special case hash */
+ {0, 30, 11, 27789, 71, 1 },
+ /* tcId: 295. special case hash */
+ {0, 41, 10, 27860, 71, 1 },
+ /* tcId: 296. special case hash */
+ {0, 51, 10, 27931, 70, 1 },
+ /* tcId: 297. special case hash */
+ {0, 61, 10, 28001, 71, 1 },
+ /* tcId: 298. special case hash */
+ {0, 71, 9, 28072, 70, 1 },
+ /* tcId: 299. special case hash */
+ {0, 80, 10, 28142, 71, 1 },
+ /* tcId: 300. special case hash */
+ {0, 90, 10, 28213, 71, 1 },
+ /* tcId: 301. special case hash */
+ {0, 100, 10, 28284, 71, 1 },
+ /* tcId: 302. special case hash */
+ {0, 110, 10, 28355, 71, 1 },
+ /* tcId: 303. special case hash */
+ {0, 120, 11, 28426, 70, 1 },
+ /* tcId: 304. special case hash */
+ {0, 131, 10, 28496, 71, 1 },
+ /* tcId: 305. special case hash */
+ {0, 141, 10, 28567, 71, 1 },
+ /* tcId: 306. special case hash */
+ {0, 151, 10, 28638, 70, 1 },
+ /* tcId: 307. special case hash */
+ {0, 161, 10, 28708, 71, 1 },
+ /* tcId: 308. special case hash */
+ {0, 171, 10, 28779, 71, 1 },
+ /* tcId: 309. special case hash */
+ {0, 181, 10, 28850, 70, 1 },
+ /* tcId: 310. special case hash */
+ {0, 191, 10, 28920, 71, 1 },
+ /* tcId: 311. special case hash */
+ {0, 201, 10, 28991, 71, 1 },
+ /* tcId: 312. special case hash */
+ {0, 211, 10, 29062, 71, 1 },
+ /* tcId: 313. special case hash */
+ {0, 221, 10, 29133, 70, 1 },
+ /* tcId: 314. special case hash */
+ {0, 231, 10, 29203, 71, 1 },
+ /* tcId: 315. special case hash */
+ {0, 241, 10, 29274, 71, 1 },
+ /* tcId: 316. special case hash */
+ {0, 251, 10, 29345, 71, 1 },
+ /* tcId: 317. special case hash */
+ {0, 261, 11, 29416, 71, 1 },
+ /* tcId: 318. special case hash */
+ {0, 272, 11, 29487, 70, 1 },
+ /* tcId: 319. special case hash */
+ {0, 283, 9, 29557, 71, 1 },
+ /* tcId: 320. special case hash */
+ {0, 292, 9, 29628, 71, 1 },
+ /* tcId: 321. special case hash */
+ {0, 301, 10, 29699, 71, 1 },
+ /* tcId: 322. special case hash */
+ {0, 311, 10, 29770, 71, 1 },
+ /* tcId: 323. special case hash */
+ {0, 321, 10, 29841, 70, 1 },
+ /* tcId: 324. special case hash */
+ {0, 331, 10, 29911, 70, 1 },
+ /* tcId: 325. special case hash */
+ {0, 341, 10, 29981, 71, 1 },
+ /* tcId: 326. special case hash */
+ {0, 351, 9, 30052, 70, 1 },
+ /* tcId: 327. special case hash */
+ {0, 360, 10, 30122, 70, 1 },
+ /* tcId: 328. special case hash */
+ {0, 370, 10, 30192, 70, 1 },
+ /* tcId: 329. special case hash */
+ {0, 380, 10, 30262, 70, 1 },
+ /* tcId: 330. special case hash */
+ {0, 390, 9, 30332, 71, 1 },
+ /* tcId: 331. special case hash */
+ {0, 399, 11, 30403, 70, 1 },
+ /* tcId: 332. special case hash */
+ {0, 410, 9, 30473, 71, 1 },
+ /* tcId: 333. special case hash */
+ {0, 419, 9, 30544, 71, 1 },
+ /* tcId: 334. special case hash */
+ {0, 428, 11, 30615, 70, 1 },
+ /* tcId: 335. special case hash */
+ {0, 439, 8, 30685, 71, 1 },
+ /* tcId: 336. special case hash */
+ {0, 447, 10, 30756, 70, 1 },
+ /* tcId: 337. special case hash */
+ {0, 457, 10, 30826, 71, 1 },
+ /* tcId: 338. special case hash */
+ {0, 467, 10, 30897, 70, 1 },
+ /* tcId: 339. special case hash */
+ {0, 477, 10, 30967, 70, 1 },
+ /* tcId: 340. special case hash */
+ {0, 487, 10, 31037, 70, 1 },
+ /* tcId: 341. special case hash */
+ {0, 497, 10, 31107, 71, 1 },
+ /* tcId: 342. special case hash */
+ {0, 507, 10, 31178, 70, 1 },
+ /* tcId: 343. special case hash */
+ {0, 517, 10, 31248, 70, 1 },
+ /* tcId: 344. special case hash */
+ {0, 527, 10, 31318, 71, 1 },
+ /* tcId: 345. special case hash */
+ {0, 537, 9, 31389, 70, 1 },
+ /* tcId: 346. k*G has a large x-coordinate */
+ {65, 0, 6, 31459, 24, 1 },
+ /* tcId: 347. r too large */
+ {65, 0, 6, 31483, 40, 0 },
+ /* tcId: 348. r,s are large */
+ {130, 0, 6, 31523, 40, 1 },
+ /* tcId: 349. r and s^-1 have a large Hamming weight */
+ {195, 0, 6, 31563, 70, 1 },
+ /* tcId: 350. r and s^-1 have a large Hamming weight */
+ {260, 0, 6, 31633, 70, 1 },
+ /* tcId: 351. small r and s */
+ {325, 0, 6, 31703, 8, 1 },
+ /* tcId: 352. small r and s */
+ {390, 0, 6, 31711, 8, 1 },
+ /* tcId: 353. small r and s */
+ {455, 0, 6, 31719, 8, 1 },
+ /* tcId: 354. small r and s */
+ {520, 0, 6, 31727, 8, 1 },
+ /* tcId: 355. small r and s */
+ {585, 0, 6, 31735, 8, 1 },
+ /* tcId: 356. small r and s */
+ {650, 0, 6, 31743, 8, 1 },
+ /* tcId: 357. r is larger than n */
+ {650, 0, 6, 31751, 40, 0 },
+ /* tcId: 358. s is larger than n */
+ {715, 0, 6, 31791, 10, 0 },
+ /* tcId: 359. small r and s^-1 */
+ {780, 0, 6, 31801, 40, 1 },
+ /* tcId: 360. smallish r and s^-1 */
+ {845, 0, 6, 31841, 45, 1 },
+ /* tcId: 361. 100-bit r and small s^-1 */
+ {910, 0, 6, 31886, 51, 1 },
+ /* tcId: 362. small r and 100 bit s^-1 */
+ {975, 0, 6, 31937, 40, 1 },
+ /* tcId: 363. 100-bit r and s^-1 */
+ {1040, 0, 6, 31977, 51, 1 },
+ /* tcId: 364. r and s^-1 are close to n */
+ {1105, 0, 6, 32028, 71, 1 },
+ /* tcId: 365. r and s are 64-bit integer */
+ {1170, 0, 6, 32099, 24, 1 },
+ /* tcId: 366. r and s are 100-bit integer */
+ {1235, 0, 6, 32123, 32, 1 },
+ /* tcId: 367. r and s are 128-bit integer */
+ {1300, 0, 6, 32155, 40, 1 },
+ /* tcId: 368. r and s are 160-bit integer */
+ {1365, 0, 6, 32195, 48, 1 },
+ /* tcId: 369. s == 1 */
+ {1430, 0, 6, 32243, 39, 1 },
+ /* tcId: 370. s == 0 */
+ {1430, 0, 6, 32282, 39, 0 },
+ /* tcId: 371. edge case modular inverse */
+ {1495, 0, 6, 32321, 70, 1 },
+ /* tcId: 372. edge case modular inverse */
+ {1560, 0, 6, 32391, 70, 1 },
+ /* tcId: 373. edge case modular inverse */
+ {1625, 0, 6, 32461, 70, 1 },
+ /* tcId: 374. edge case modular inverse */
+ {1690, 0, 6, 32531, 70, 1 },
+ /* tcId: 375. edge case modular inverse */
+ {1755, 0, 6, 32601, 70, 1 },
+ /* tcId: 376. edge case modular inverse */
+ {1820, 0, 6, 32671, 70, 1 },
+ /* tcId: 377. edge case modular inverse */
+ {1885, 0, 6, 32741, 70, 1 },
+ /* tcId: 378. edge case modular inverse */
+ {1950, 0, 6, 32811, 70, 1 },
+ /* tcId: 379. edge case modular inverse */
+ {2015, 0, 6, 32881, 70, 1 },
+ /* tcId: 380. edge case modular inverse */
+ {2080, 0, 6, 32951, 70, 1 },
+ /* tcId: 381. edge case modular inverse */
+ {2145, 0, 6, 33021, 70, 1 },
+ /* tcId: 382. edge case modular inverse */
+ {2210, 0, 6, 33091, 70, 1 },
+ /* tcId: 383. edge case modular inverse */
+ {2275, 0, 6, 33161, 70, 1 },
+ /* tcId: 384. edge case modular inverse */
+ {2340, 0, 6, 33231, 70, 1 },
+ /* tcId: 385. edge case modular inverse */
+ {2405, 0, 6, 33301, 70, 1 },
+ /* tcId: 386. point at infinity during verify */
+ {2470, 0, 6, 33371, 70, 0 },
+ /* tcId: 387. edge case for signature malleability */
+ {2535, 0, 6, 33441, 70, 1 },
+ /* tcId: 388. edge case for signature malleability */
+ {2600, 0, 6, 33511, 70, 0 },
+ /* tcId: 389. u1 == 1 */
+ {2665, 0, 6, 33581, 70, 1 },
+ /* tcId: 390. u1 == n - 1 */
+ {2730, 0, 6, 33651, 70, 1 },
+ /* tcId: 391. u2 == 1 */
+ {2795, 0, 6, 33721, 70, 1 },
+ /* tcId: 392. u2 == n - 1 */
+ {2860, 0, 6, 33791, 70, 1 },
+ /* tcId: 393. edge case for u1 */
+ {2925, 0, 6, 33861, 70, 1 },
+ /* tcId: 394. edge case for u1 */
+ {2990, 0, 6, 33931, 70, 1 },
+ /* tcId: 395. edge case for u1 */
+ {3055, 0, 6, 34001, 70, 1 },
+ /* tcId: 396. edge case for u1 */
+ {3120, 0, 6, 34071, 70, 1 },
+ /* tcId: 397. edge case for u1 */
+ {3185, 0, 6, 34141, 70, 1 },
+ /* tcId: 398. edge case for u1 */
+ {3250, 0, 6, 34211, 70, 1 },
+ /* tcId: 399. edge case for u1 */
+ {3315, 0, 6, 34281, 70, 1 },
+ /* tcId: 400. edge case for u1 */
+ {3380, 0, 6, 34351, 70, 1 },
+ /* tcId: 401. edge case for u1 */
+ {3445, 0, 6, 34421, 70, 1 },
+ /* tcId: 402. edge case for u1 */
+ {3510, 0, 6, 34491, 70, 1 },
+ /* tcId: 403. edge case for u1 */
+ {3575, 0, 6, 34561, 70, 1 },
+ /* tcId: 404. edge case for u1 */
+ {3640, 0, 6, 34631, 70, 1 },
+ /* tcId: 405. edge case for u1 */
+ {3705, 0, 6, 34701, 70, 1 },
+ /* tcId: 406. edge case for u1 */
+ {3770, 0, 6, 34771, 70, 1 },
+ /* tcId: 407. edge case for u1 */
+ {3835, 0, 6, 34841, 70, 1 },
+ /* tcId: 408. edge case for u2 */
+ {3900, 0, 6, 34911, 70, 1 },
+ /* tcId: 409. edge case for u2 */
+ {3965, 0, 6, 34981, 70, 1 },
+ /* tcId: 410. edge case for u2 */
+ {4030, 0, 6, 35051, 70, 1 },
+ /* tcId: 411. edge case for u2 */
+ {4095, 0, 6, 35121, 70, 1 },
+ /* tcId: 412. edge case for u2 */
+ {4160, 0, 6, 35191, 70, 1 },
+ /* tcId: 413. edge case for u2 */
+ {4225, 0, 6, 35261, 69, 1 },
+ /* tcId: 414. edge case for u2 */
+ {4290, 0, 6, 35330, 70, 1 },
+ /* tcId: 415. edge case for u2 */
+ {4355, 0, 6, 35400, 70, 1 },
+ /* tcId: 416. edge case for u2 */
+ {4420, 0, 6, 35470, 70, 1 },
+ /* tcId: 417. edge case for u2 */
+ {4485, 0, 6, 35540, 70, 1 },
+ /* tcId: 418. edge case for u2 */
+ {4550, 0, 6, 35610, 70, 1 },
+ /* tcId: 419. edge case for u2 */
+ {4615, 0, 6, 35680, 70, 1 },
+ /* tcId: 420. edge case for u2 */
+ {4680, 0, 6, 35750, 70, 1 },
+ /* tcId: 421. edge case for u2 */
+ {4745, 0, 6, 35820, 70, 1 },
+ /* tcId: 422. edge case for u2 */
+ {4810, 0, 6, 35890, 70, 1 },
+ /* tcId: 423. point duplication during verification */
+ {4875, 0, 6, 35960, 70, 1 },
+ /* tcId: 424. duplication bug */
+ {4940, 0, 6, 36030, 70, 0 },
+ /* tcId: 425. comparison with point at infinity */
+ {5005, 0, 6, 36100, 70, 0 },
+ /* tcId: 426. extreme value for k and edgecase s */
+ {5070, 0, 6, 36170, 71, 1 },
+ /* tcId: 427. extreme value for k and s^-1 */
+ {5135, 0, 6, 36241, 71, 1 },
+ /* tcId: 428. extreme value for k and s^-1 */
+ {5200, 0, 6, 36312, 71, 1 },
+ /* tcId: 429. extreme value for k and s^-1 */
+ {5265, 0, 6, 36383, 71, 1 },
+ /* tcId: 430. extreme value for k and s^-1 */
+ {5330, 0, 6, 36454, 71, 1 },
+ /* tcId: 431. extreme value for k */
+ {5395, 0, 6, 36525, 71, 1 },
+ /* tcId: 432. extreme value for k and edgecase s */
+ {5460, 0, 6, 36596, 70, 1 },
+ /* tcId: 433. extreme value for k and s^-1 */
+ {5525, 0, 6, 36666, 70, 1 },
+ /* tcId: 434. extreme value for k and s^-1 */
+ {5590, 0, 6, 36736, 70, 1 },
+ /* tcId: 435. extreme value for k and s^-1 */
+ {5655, 0, 6, 36806, 70, 1 },
+ /* tcId: 436. extreme value for k and s^-1 */
+ {5720, 0, 6, 36876, 70, 1 },
+ /* tcId: 437. extreme value for k */
+ {5785, 0, 6, 36946, 70, 1 },
+ /* tcId: 438. public key shares x-coordinate with generator */
+ {5850, 0, 6, 37016, 71, 0 },
+ /* tcId: 439. public key shares x-coordinate with generator */
+ {5850, 0, 6, 37087, 70, 0 },
+ /* tcId: 440. public key shares x-coordinate with generator */
+ {5915, 0, 6, 37157, 71, 0 },
+ /* tcId: 441. public key shares x-coordinate with generator */
+ {5915, 0, 6, 37228, 70, 0 },
+ /* tcId: 442. pseudorandom signature */
+ {5980, 546, 0, 37298, 71, 1 },
+ /* tcId: 443. pseudorandom signature */
+ {5980, 546, 3, 37369, 70, 1 },
+ /* tcId: 444. pseudorandom signature */
+ {5980, 0, 6, 37439, 71, 1 },
+ /* tcId: 445. pseudorandom signature */
+ {5980, 549, 20, 37510, 70, 1 },
+ /* tcId: 446. y-coordinate of the public key is small */
+ {6045, 569, 7, 37580, 70, 1 },
+ /* tcId: 447. y-coordinate of the public key is small */
+ {6045, 569, 7, 37650, 70, 1 },
+ /* tcId: 448. y-coordinate of the public key is small */
+ {6045, 569, 7, 37720, 71, 1 },
+ /* tcId: 449. y-coordinate of the public key is large */
+ {6110, 569, 7, 37791, 70, 1 },
+ /* tcId: 450. y-coordinate of the public key is large */
+ {6110, 569, 7, 37861, 71, 1 },
+ /* tcId: 451. y-coordinate of the public key is large */
+ {6110, 569, 7, 37932, 70, 1 },
+ /* tcId: 452. x-coordinate of the public key is small */
+ {6175, 569, 7, 38002, 70, 1 },
+ /* tcId: 453. x-coordinate of the public key is small */
+ {6175, 569, 7, 38072, 71, 1 },
+ /* tcId: 454. x-coordinate of the public key is small */
+ {6175, 569, 7, 38143, 71, 1 },
+ /* tcId: 455. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38214, 70, 1 },
+ /* tcId: 456. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38284, 71, 1 },
+ /* tcId: 457. x-coordinate of the public key has many trailing 1's */
+ {6240, 569, 7, 38355, 71, 1 },
+ /* tcId: 458. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38426, 70, 1 },
+ /* tcId: 459. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38496, 71, 1 },
+ /* tcId: 460. y-coordinate of the public key has many trailing 1's */
+ {6305, 569, 7, 38567, 71, 1 },
+ /* tcId: 461. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38638, 70, 1 },
+ /* tcId: 462. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38708, 70, 1 },
+ /* tcId: 463. x-coordinate of the public key has many trailing 0's */
+ {6370, 569, 7, 38778, 71, 1 },
+
+};
diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
new file mode 100644
index 0000000000..9c90747993
--- /dev/null
+++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json
@@ -0,0 +1,6360 @@
+{
+ "algorithm" : "ECDSA",
+ "schema" : "ecdsa_bitcoin_verify_schema.json",
+ "generatorVersion" : "0.9rc5",
+ "numberOfTests" : 463,
+ "header" : [
+ "Test vectors of type EcdsaBitcoinVerify are meant for the verification",
+ "of a ECDSA variant used for bitcoin, that add signature non-malleability."
+ ],
+ "notes" : {
+ "ArithmeticError" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurences.",
+ "cves" : [
+ "CVE-2017-18146"
+ ]
+ },
+ "BerEncodedSignature" : {
+ "bugType" : "BER_ENCODING",
+ "description" : "ECDSA signatures are usually DER encoded. This signature contains valid values for r and s, but it uses alternative BER encoding.",
+ "effect" : "Accepting alternative BER encodings may be benign in some cases, or be an issue if protocol requires signature malleability.",
+ "cves" : [
+ "CVE-2020-14966",
+ "CVE-2020-13822",
+ "CVE-2019-14859",
+ "CVE-2016-1000342"
+ ]
+ },
+ "EdgeCasePublicKey" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vector uses a special case public key. "
+ },
+ "EdgeCaseShamirMultiplication" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used."
+ },
+ "IntegerOverflow" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "InvalidEncoding" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "ECDSA signatures are encoded using ASN.1. This test vector contains an incorrectly encoded signature. The test vector itself was generated from a valid signature by modifying its encoding.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "InvalidSignature" : {
+ "bugType" : "AUTH_BYPASS",
+ "description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.",
+ "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.",
+ "cves" : [
+ "CVE-2022-21449",
+ "CVE-2021-43572",
+ "CVE-2022-24884"
+ ]
+ },
+ "InvalidTypesInSignature" : {
+ "bugType" : "AUTH_BYPASS",
+ "description" : "The signature contains invalid types. Dynamic typed languages sometime coerce such values of different types into integers. If an implementation is careless and has additional bugs, such as not checking integer boundaries then it may be possible that such signatures are accepted.",
+ "effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.",
+ "cves" : [
+ "CVE-2022-21449"
+ ]
+ },
+ "ModifiedInteger" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "ModifiedSignature" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an invalid signature that was generated from a valid signature by modifying it.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "ModularInverse" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.",
+ "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
+ "cves" : [
+ "CVE-2019-0865"
+ ]
+ },
+ "PointDuplication" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.",
+ "cves" : [
+ "2020-12607",
+ "CVE-2015-2730"
+ ]
+ },
+ "RangeCheck" : {
+ "bugType" : "CAN_OF_WORMS",
+ "description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.",
+ "effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
+ },
+ "SignatureMalleabilityBitcoin" : {
+ "bugType" : "SIGNATURE_MALLEABILITY",
+ "description" : "\"BitCoins\"-curves are curves where signature malleability can be a serious issue. An implementation should only accept a signature s where s < n/2. If an implementation is not meant for uses cases that require signature malleability then this implemenation should be tested with another set of test vectors.",
+ "effect" : "In bitcoin exchanges, it may be used to make a double deposits or double withdrawals",
+ "links" : [
+ "https://en.bitcoin.it/wiki/Transaction_malleability",
+ "https://en.bitcoinwiki.org/wiki/Transaction_Malleability"
+ ]
+ },
+ "SmallRandS" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.",
+ "effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
+ "cves" : [
+ "2020-13895"
+ ]
+ },
+ "SpecialCaseHash" : {
+ "bugType" : "EDGE_CASE",
+ "description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits."
+ },
+ "ValidSignature" : {
+ "bugType" : "BASIC",
+ "description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported."
+ }
+ },
+ "testGroups" : [
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9",
+ "wx" : "00b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6f",
+ "wy" : "00f0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEuDj/ROW8F3vyEYnQdmCC/J2EMiaIf8l2\nA3EQC37iCm/wyddb+6ezGmvKGXRJbutW3jVwcZVdg8Sxutqgshgy6Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 1,
+ "comment" : "Signature malleability",
+ "flags" : [
+ "SignatureMalleabilityBitcoin"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3046022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc9832365022100900e75ad233fcc908509dbff5922647db37c21f4afd3203ae8dc4ae7794b0f87",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 2,
+ "comment" : "valid",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 3,
+ "comment" : "length of sequence [r, s] uses long form encoding",
+ "flags" : [
+ "BerEncodedSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "308145022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 4,
+ "comment" : "length of sequence [r, s] contains a leading 0",
+ "flags" : [
+ "BerEncodedSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30820045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 5,
+ "comment" : "length of sequence [r, s] uses 70 instead of 69",
+ "flags" : [
+ "InvalidEncoding"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 339,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "34303035333134343036",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 340,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "33303936343537353132",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 341,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "32373834303235363230",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 342,
+ "comment" : "special case hash",
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+ "SpecialCaseHash"
+ ],
+ "msg" : "32363138373837343138",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 343,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "31363432363235323632",
+ "sig" : "304402205827518344844fd6a7de73cbb0a6befdea7b13d2dee4475317f0f18ffc81524b02204f5ccb4e0b488b5a5d760aacddb2d791970fe43da61eb30e2e90208a817e46db",
+ "result" : "valid"
+ },
+ {
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+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "36383234313839343336",
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+ "result" : "valid"
+ },
+ {
+ "tcId" : 345,
+ "comment" : "special case hash",
+ "flags" : [
+ "SpecialCaseHash"
+ ],
+ "msg" : "343834323435343235",
+ "sig" : "3044022052c683144e44119ae2013749d4964ef67509278f6d38ba869adcfa69970e123d02203479910167408f45bda420a626ec9c4ec711c1274be092198b4187c018b562ca",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0407310f90a9eae149a08402f54194a0f7b4ac427bf8d9bd6c7681071dc47dc36226a6d37ac46d61fd600c0bf1bff87689ed117dda6b0e59318ae010a197a26ca0",
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+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000407310f90a9eae149a08402f54194a0f7b4ac427bf8d9bd6c7681071dc47dc36226a6d37ac46d61fd600c0bf1bff87689ed117dda6b0e59318ae010a197a26ca0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEBzEPkKnq4UmghAL1QZSg97SsQnv42b1s\ndoEHHcR9w2ImptN6xG1h/WAMC/G/+HaJ7RF92msOWTGK4BChl6JsoA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 346,
+ "comment" : "k*G has a large x-coordinate",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30160211014551231950b75fc4402da1722fc9baeb020103",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 347,
+ "comment" : "r too large",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2c020103",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bc97e7585eecad48e16683bc4091708e1a930c683fc47001d4b383594f2c4e22705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5",
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+ "wy" : "705989cf69daeadd4e4e4b8151ed888dfec20fb01728d89d56b3f38f2ae9c8c5"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEvJfnWF7srUjhZoO8QJFwjhqTDGg/xHAB\n1LODWU8sTiJwWYnPadrq3U5OS4FR7YiN/sIPsBco2J1Ws/OPKunIxQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 348,
+ "comment" : "r,s are large",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413f020103",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0444ad339afbc21e9abf7b602a5ca535ea378135b6d10d81310bdd8293d1df3252b63ff7d0774770f8fe1d1722fa83acd02f434e4fc110a0cc8f6dddd37d56c463",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERK0zmvvCHpq/e2AqXKU16jeBNbbRDYEx\nC92Ck9HfMlK2P/fQd0dw+P4dFyL6g6zQL0NOT8EQoMyPbd3TfVbEYw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 349,
+ "comment" : "r and s^-1 have a large Hamming weight",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203e9a7582886089c62fb840cf3b83061cd1cff3ae4341808bb5bdee6191174177",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041260c2122c9e244e1af5151bede0c3ae23b54d7c596881d3eebad21f37dd878c5c9a0c1a9ade76737a8811bd6a7f9287c978ee396aa89c11e47229d2ccb552f0",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEEmDCEiyeJE4a9RUb7eDDriO1TXxZaIHT\n7rrSHzfdh4xcmgwamt52c3qIEb1qf5KHyXjuOWqonBHkcinSzLVS8A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 350,
+ "comment" : "r and s^-1 have a large Hamming weight",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022024238e70b431b1a64efdf9032669939d4b77f249503fc6905feb7540dea3e6d2",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041877045be25d34a1d0600f9d5c00d0645a2a54379b6ceefad2e6bf5c2a3352ce821a532cc1751ee1d36d41c3d6ab4e9b143e44ec46d73478ea6a79a5c0e54159",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGHcEW+JdNKHQYA+dXADQZFoqVDebbO76\n0ua/XCozUs6CGlMswXUe4dNtQcPWq06bFD5E7EbXNHjqanmlwOVBWQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 351,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020101",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04455439fcc3d2deeceddeaece60e7bd17304f36ebb602adf5a22e0b8f1db46a50aec38fb2baf221e9a8d1887c7bf6222dd1834634e77263315af6d23609d04f77",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERVQ5/MPS3uzt3q7OYOe9FzBPNuu2Aq31\noi4Ljx20alCuw4+yuvIh6ajRiHx79iIt0YNGNOdyYzFa9tI2CdBPdw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 352,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020102",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d",
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+ "wy" : "0449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042e1f466b024c0c3ace2437de09127fed04b706f94b19a21bb1c2acf35cece7180449ae3523d72534e964972cfd3b38af0bddd9619e5af223e4d1a40f34cf9f1d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELh9GawJMDDrOJDfeCRJ/7QS3BvlLGaIb\nscKs81zs5xgESa41I9clNOlklyz9OzivC93ZYZ5a8iPk0aQPNM+fHQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 353,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020101020103",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048e7abdbbd18de7452374c1879a1c3b01d13261e7d4571c3b47a1c76c55a2337326ed897cd517a4f5349db809780f6d2f2b9f6299d8b5a89077f1119a718fd7b3",
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+ "wy" : "26ed897cd517a4f5349db809780f6d2f2b9f6299d8b5a89077f1119a718fd7b3"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjnq9u9GN50UjdMGHmhw7AdEyYefUVxw7\nR6HHbFWiM3Mm7Yl81Rek9TSduAl4D20vK59imdi1qJB38RGacY/Xsw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 354,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020101",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047b333d4340d3d718dd3e6aff7de7bbf8b72bfd616c8420056052842376b9af1942117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b",
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+ "wy" : "42117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200047b333d4340d3d718dd3e6aff7de7bbf8b72bfd616c8420056052842376b9af1942117c5afeac755d6f376fc6329a7d76051b87123a4a5d0bc4a539380f03de7b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEezM9Q0DT1xjdPmr/fee7+Lcr/WFshCAF\nYFKEI3a5rxlCEXxa/qx1XW83b8Yymn12BRuHEjpKXQvEpTk4DwPeew==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 355,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020102",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e503a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff",
+ "wx" : "00d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e5",
+ "wy" : "03a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d30ca4a0ddb6616c851d30ced682c40f83c62758a1f2759988d6763a88f1c0e503a80d5415650d41239784e8e2fb1235e9fe991d112ebb81186cbf0da2de3aff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0wykoN22YWyFHTDO1oLED4PGJ1ih8nWZ\niNZ2OojxwOUDqA1UFWUNQSOXhOji+xI16f6ZHREuu4EYbL8Not46/w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 356,
+ "comment" : "small r and s",
+ "flags" : [
+ "SmallRandS",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3006020102020103",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 357,
+ "comment" : "r is larger than n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364143020103",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0448969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec",
+ "wx" : "48969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24",
+ "wy" : "00b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000448969b39991297b332a652d3ee6e01e909b39904e71fa2354a7830c7750baf24b4012d1b830d199ccb1fc972b32bfded55f09cd62d257e5e844e27e57a1594ec",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAESJabOZkSl7MyplLT7m4B6QmzmQTnH6I1\nSngwx3ULryS0AS0bgw0ZnMsfyXKzK/3tVfCc1i0lfl6ETiflehWU7A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 358,
+ "comment" : "s is larger than n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30080201020203ed2979",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866",
+ "wx" : "02ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee77",
+ "wy" : "7eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000402ef4d6d6cfd5a94f1d7784226e3e2a6c0a436c55839619f38fb4472b5f9ee777eb4acd4eebda5cd72875ffd2a2f26229c2dc6b46500919a432c86739f3ae866",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAu9NbWz9WpTx13hCJuPipsCkNsVYOWGf\nOPtEcrX57nd+tKzU7r2lzXKHX/0qLyYinC3GtGUAkZpDLIZznzroZg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 359,
+ "comment" : "small r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30260202010102203a74e9d3a74e9d3a74e9d3a74e9d3a749f8ab3732a0a89604a09bce5b2916da4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08",
+ "wx" : "464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584",
+ "wy" : "00b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004464f4ff715729cae5072ca3bd801d3195b67aec65e9b01aad20a2943dcbcb584b1afd29d31a39a11d570aa1597439b3b2d1971bf2f1abf15432d0207b10d1d08",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERk9P9xVynK5Qcso72AHTGVtnrsZemwGq\n0gopQ9y8tYSxr9KdMaOaEdVwqhWXQ5s7LRlxvy8avxVDLQIHsQ0dCA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 360,
+ "comment" : "smallish r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "302b02072d9b4d347952cc02200343aefc2f25d98b882e86eb9e30d55a6eb508b516510b34024ae4b6362330b3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f",
+ "wx" : "157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4c",
+ "wy" : "00deadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004157f8fddf373eb5f49cfcf10d8b853cf91cbcd7d665c3522ba7dd738ddb79a4cdeadf1a5c448ea3c9f4191a8999abfcc757ac6d64567ef072c47fec613443b8f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEFX+P3fNz619Jz88Q2LhTz5HLzX1mXDUi\nun3XON23mkzerfGlxEjqPJ9BkaiZmr/MdXrG1kVn7wcsR/7GE0Q7jw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 361,
+ "comment" : "100-bit r and small s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3031020d1033e67e37b32b445580bf4efc02206f906f906f906f906f906f906f906f8fe1cab5eefdb214061dce3b22789f1d6f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa",
+ "wx" : "0934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0",
+ "wy" : "00d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200040934a537466c07430e2c48feb990bb19fb78cecc9cee424ea4d130291aa237f0d4f92d23b462804b5b68c52558c01c9996dbf727fccabbeedb9621a400535afa",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAECTSlN0ZsB0MOLEj+uZC7Gft4zsyc7kJO\npNEwKRqiN/DU+S0jtGKAS1toxSVYwByZltv3J/zKu+7bliGkAFNa+g==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 362,
+ "comment" : "small r and 100 bit s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3026020201010220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265",
+ "wx" : "00d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c65",
+ "wy" : "4a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d6ef20be66c893f741a9bf90d9b74675d1c2a31296397acb3ef174fd0b300c654a0c95478ca00399162d7f0f2dc89efdc2b28a30fbabe285857295a4b0c4e265",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1u8gvmbIk/dBqb+Q2bdGddHCoxKWOXrL\nPvF0/QswDGVKDJVHjKADmRYtfw8tyJ79wrKKMPur4oWFcpWksMTiZQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 363,
+ "comment" : "100-bit r and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3031020d062522bbd3ecbe7c39e93e7c260220783266e90f43dafe5cd9b3b0be86de22f9de83677d0f50713a468ec72fcf5d57",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829",
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+ "wy" : "29c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004b7291d1404e0c0c07dab9372189f4bd58d2ceaa8d15ede544d9514545ba9ee0629c9a63d5e308769cc30ec276a410e6464a27eeafd9e599db10f053a4fe4a829",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEtykdFATgwMB9q5NyGJ9L1Y0s6qjRXt5U\nTZUUVFup7gYpyaY9XjCHacww7CdqQQ5kZKJ+6v2eWZ2xDwU6T+SoKQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 364,
+ "comment" : "r and s^-1 are close to n",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd03640c1022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6",
+ "wx" : "6e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8",
+ "wy" : "186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e28303305d642ccb923b722ea86b2a0bc8e3735ecb26e849b19c9f76b2fdbb8186e80d64d8cab164f5238f5318461bf89d4d96ee6544c816c7566947774e0f6",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbigwMwXWQsy5I7ci6oayoLyONzXssm6E\nmxnJ92sv27gYboDWTYyrFk9SOPUxhGG/idTZbuZUTIFsdWaUd3Tg9g==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 365,
+ "comment" : "r and s are 64-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30160209009c44febf31c3594d020900839ed28247c2b06b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd",
+ "wx" : "375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9",
+ "wy" : "00a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004375bda93f6af92fb5f8f4b1b5f0534e3bafab34cb7ad9fb9d0b722e4a5c302a9a00b9f387a5a396097aa2162fc5bbcf4a5263372f681c94da51e9799120990fd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEN1vak/avkvtfj0sbXwU047r6s0y3rZ+5\n0Lci5KXDAqmgC584elo5YJeqIWL8W7z0pSYzcvaByU2lHpeZEgmQ/Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 366,
+ "comment" : "r and s are 100-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "301e020d09df8b682430beef6f5fd7c7cf020d0fd0a62e13778f4222a0d61c8a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44",
+ "wx" : "00d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197",
+ "wy" : "00da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d75b68216babe03ae257e94b4e3bf1c52f44e3df266d1524ff8c5ea69da73197da4bff9ed1c53f44917a67d7b978598e89df359e3d5913eaea24f3ae259abc44",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE11toIWur4DriV+lLTjvxxS9E498mbRUk\n/4xepp2nMZfaS/+e0cU/RJF6Z9e5eFmOid81nj1ZE+rqJPOuJZq8RA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 367,
+ "comment" : "r and s are 128-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "30260211008a598e563a89f526c32ebec8de26367a02110084f633e2042630e99dd0f1e16f7a04bf",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0478bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e",
+ "wx" : "78bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653",
+ "wy" : "118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000478bcda140aed23d430cb23c3dc0d01f423db134ee94a3a8cb483f2deac2ac653118114f6f33045d4e9ed9107085007bfbddf8f58fe7a1a2445d66a990045476e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeLzaFArtI9QwyyPD3A0B9CPbE07pSjqM\ntIPy3qwqxlMRgRT28zBF1OntkQcIUAe/vd+PWP56GiRF1mqZAEVHbg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 368,
+ "comment" : "r and s are 160-bit integer",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "302e021500aa6eeb5823f7fa31b466bb473797f0d0314c0bdf021500e2977c479e6d25703cebbc6bd561938cc9d1bfb9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677",
+ "wx" : "00bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c",
+ "wy" : "1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bb79f61857f743bfa1b6e7111ce4094377256969e4e15159123d9548acc3be6c1f9d9f8860dcffd3eb36dd6c31ff2e7226c2009c4c94d8d7d2b5686bf7abd677",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEu3n2GFf3Q7+htucRHOQJQ3claWnk4VFZ\nEj2VSKzDvmwfnZ+IYNz/0+s23Wwx/y5yJsIAnEyU2NfStWhr96vWdw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 369,
+ "comment" : "s == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3025022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1020101",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 370,
+ "comment" : "s == 0",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3025022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1020100",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0493591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518",
+ "wx" : "0093591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36",
+ "wy" : "073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000493591827d9e6713b4e9faea62c72b28dfefa68e0c05160b5d6aae88fd2e36c36073f5545ad5af410af26afff68654cf72d45e493489311203247347a890f4518",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEk1kYJ9nmcTtOn66mLHKyjf76aODAUWC1\n1qroj9LjbDYHP1VFrVr0EK8mr/9oZUz3LUXkk0iTESAyRzR6iQ9FGA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 371,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0431ed3081aefe001eb6402069ee2ccc1862937b85995144dba9503943587bf0dada01b8cc4df34f5ab3b1a359615208946e5ee35f98ee775b8ccecd86ccc1650f",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEMe0wga7+AB62QCBp7izMGGKTe4WZUUTb\nqVA5Q1h78NraAbjMTfNPWrOxo1lhUgiUbl7jX5jud1uMzs2GzMFlDw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 372,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102201b21717ad71d23bbac60a9ad0baf75b063c9fdf52a00ebf99d022172910993c9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047dff66fa98509ff3e2e51045f4390523dccda43a3bc2885e58c248090990eea854c76c2b9adeb6bb571823e07fd7c65c8639cf9d905260064c8e7675ce6d98b4",
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+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEff9m+phQn/Pi5RBF9DkFI9zNpDo7wohe\nWMJICQmQ7qhUx2wrmt62u1cYI+B/18ZchjnPnZBSYAZMjnZ1zm2YtA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 373,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044280509aab64edfc0b4a2967e4cbce849cb544e4a77313c8e6ece579fbd7420a2e89fe5cc1927d554e6a3bb14033ea7c922cd75cba2c7415fdab52f20b1860f1",
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+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 374,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044f8df145194e3c4fc3eea26d43ce75b402d6b17472ddcbb254b8a79b0bf3d9cb2aa20d82844cb266344e71ca78f2ad27a75a09e5bc0fa57e4efd9d465a0888db",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAET43xRRlOPE/D7qJtQ851tALWsXRy3cuy\nVLinmwvz2csqog2ChEyyZjROccp48q0np1oJ5bwPpX5O/Z1GWgiI2w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
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+ {
+ "tcId" : 375,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049598a57dd67ec3e16b587a338aa3a10a3a3913b41a3af32e3ed3ff01358c6b14122819edf8074bbc521f7d4cdce82fef7a516706affba1d93d9dea9ccae1a207",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAElZilfdZ+w+FrWHoziqOhCjo5E7QaOvMu\nPtP/ATWMaxQSKBnt+AdLvFIffUzc6C/velFnBq/7odk9neqcyuGiBw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 376,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049171fec3ca20806bc084f12f0760911b60990bd80e5b2a71ca03a048b20f837e634fd17863761b2958d2be4e149f8d3d7abbdc18be03f451ab6c17fa0a1f8330",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEkXH+w8oggGvAhPEvB2CRG2CZC9gOWypx\nygOgSLIPg35jT9F4Y3YbKVjSvk4Un409ervcGL4D9FGrbBf6Ch+DMA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
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+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
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+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04777c8930b6e1d271100fe68ce93f163fa37612c5fff67f4a62fc3bafaf3d17a9ed73d86f60a51b5ed91353a3b054edc0aa92c9ebcbd0b75d188fdc882791d68d",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEd3yJMLbh0nEQD+aM6T8WP6N2EsX/9n9K\nYvw7r689F6ntc9hvYKUbXtkTU6OwVO3AqpLJ68vQt10Yj9yIJ5HWjQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 378,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04eabc248f626e0a63e1eb81c43d461a39a1dba881eb6ee2152b07c32d71bcf4700603caa8b9d33db13af44c6efbec8a198ed6124ac9eb17eaafd2824a545ec000",
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+ "wy" : "0603caa8b9d33db13af44c6efbec8a198ed6124ac9eb17eaafd2824a545ec000"
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE6rwkj2JuCmPh64HEPUYaOaHbqIHrbuIV\nKwfDLXG89HAGA8qoudM9sTr0TG777IoZjtYSSsnrF+qv0oJKVF7AAA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 379,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1022006c778d4dfff7dee06ed88bc4e0ed34fc553aad67caf796f2a1c6487c1b2e877",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049f7a13ada158a55f9ddf1a45f044f073d9b80030efdcfc9f9f58418fbceaf001f8ada0175090f80d47227d6713b6740f9a0091d88a837d0a1cd77b58a8f28d73",
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEn3oTraFYpV+d3xpF8ETwc9m4ADDv3Pyf\nn1hBj7zq8AH4raAXUJD4DUcifWcTtnQPmgCR2IqDfQoc13tYqPKNcw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 380,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
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+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0411c4f3e461cd019b5c06ea0cea4c4090c3cc3e3c5d9f3c6d65b436826da9b4dbbbeb7a77e4cbfda207097c43423705f72c80476da3dac40a483b0ab0f2ead1cb",
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+ "wy" : "00bbeb7a77e4cbfda207097c43423705f72c80476da3dac40a483b0ab0f2ead1cb"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEEcTz5GHNAZtcBuoM6kxAkMPMPjxdnzxt\nZbQ2gm2ptNu763p35Mv9ogcJfENCNwX3LIBHbaPaxApIOwqw8urRyw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 381,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c10220745d294978007302033502e1acc48b63ae6500be43adbea1b258d6b423dbb416",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04e2e18682d53123aa01a6c5d00b0c623d671b462ea80bddd65227fd5105988aa4161907b3fd25044a949ea41c8e2ea8459dc6f1654856b8b61b31543bb1b45bdb",
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+ "wy" : "161907b3fd25044a949ea41c8e2ea8459dc6f1654856b8b61b31543bb1b45bdb"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE4uGGgtUxI6oBpsXQCwxiPWcbRi6oC93W\nUif9UQWYiqQWGQez/SUESpSepByOLqhFncbxZUhWuLYbMVQ7sbRb2w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 382,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102207b2a785e3896f59b2d69da57648e80ad3c133a750a2847fd2098ccd902042b6c",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0490f8d4ca73de08a6564aaf005247b6f0ffe978504dce52605f46b7c3e56197dafadbe528eb70d9ee7ea0e70702db54f721514c7b8604ac2cb214f1decb7e383d",
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+ "wy" : "00fadbe528eb70d9ee7ea0e70702db54f721514c7b8604ac2cb214f1decb7e383d"
+ },
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+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEkPjUynPeCKZWSq8AUke28P/peFBNzlJg\nX0a3w+Vhl9r62+Uo63DZ7n6g5wcC21T3IVFMe4YErCyyFPHey344PQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 383,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c1022071ae94a72ca896875e7aa4a4c3d29afdb4b35b6996273e63c47ac519256c5eb1",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc",
+ "wx" : "00824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e",
+ "wy" : "3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004824c195c73cffdf038d101bce1687b5c3b6146f395c885976f7753b2376b948e3cdefa6fc347d13e4dcbc63a0b03a165180cd2be1431a0cf74ce1ea25082d2bc",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEgkwZXHPP/fA40QG84Wh7XDthRvOVyIWX\nb3dTsjdrlI483vpvw0fRPk3LxjoLA6FlGAzSvhQxoM90zh6iUILSvA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 384,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102200fa527fa7343c0bc9ec35a6278bfbff4d83301b154fc4bd14aee7eb93445b5f9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f",
+ "wx" : "2788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f",
+ "wy" : "30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042788a52f078eb3f202c4fa73e0d3386faf3df6be856003636f599922d4f5268f30b4f207c919bbdf5e67a8be4265a8174754b3aba8f16e575b77ff4d5a7eb64f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJ4ilLweOs/ICxPpz4NM4b6899r6FYANj\nb1mZItT1Jo8wtPIHyRm7315nqL5CZagXR1Szq6jxbldbd/9NWn62Tw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 385,
+ "comment" : "edge case modular inverse",
+ "flags" : [
+ "ModularInverse",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c102206539c0adadd0525ff42622164ce9314348bd0863b4c80e936b23ca0414264671",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4",
+ "wx" : "00d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b4150874",
+ "wy" : "01b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d533b789a4af890fa7a82a1fae58c404f9a62a50b49adafab349c513b415087401b4171b803e76b34a9861e10f7bc289a066fd01bd29f84c987a10a5fb18c2d4",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE1TO3iaSviQ+nqCofrljEBPmmKlC0mtr6\ns0nFE7QVCHQBtBcbgD52s0qYYeEPe8KJoGb9Ab0p+EyYehCl+xjC1A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 386,
+ "comment" : "point at infinity during verify",
+ "flags" : [
+ "PointDuplication",
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a",
+ "wx" : "3a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4",
+ "wy" : "221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043a3150798c8af69d1e6e981f3a45402ba1d732f4be8330c5164f49e10ec555b4221bd842bc5e4d97eff37165f60e3998a424d72a450cf95ea477c78287d0343a",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOjFQeYyK9p0ebpgfOkVAK6HXMvS+gzDF\nFk9J4Q7FVbQiG9hCvF5Nl+/zcWX2DjmYpCTXKkUM+V6kd8eCh9A0Og==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 387,
+ "comment" : "edge case for signature malleability",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a002207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e800de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026",
+ "wx" : "3b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e80",
+ "wy" : "0de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043b37df5fb347c69a0f17d85c0c7ca83736883a825e13143d0fcfc8101e851e800de3c090b6ca21ba543517330c04b12f948c6badf14a63abffdf4ef8c7537026",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOzffX7NHxpoPF9hcDHyoNzaIOoJeExQ9\nD8/IEB6FHoAN48CQtsohulQ1FzMMBLEvlIxrrfFKY6v/3074x1NwJg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 388,
+ "comment" : "edge case for signature malleability",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a002207fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82ce87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e",
+ "wx" : "00feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82c",
+ "wy" : "00e87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004feb5163b0ece30ff3e03c7d55c4380fa2fa81ee2c0354942ff6f08c99d0cd82ce87de05ee1bda089d3e4e248fa0f721102acfffdf50e654be281433999df897e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE/rUWOw7OMP8+A8fVXEOA+i+oHuLANUlC\n/28IyZ0M2CzofeBe4b2gidPk4kj6D3IRAqz//fUOZUvigUM5md+Jfg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 389,
+ "comment" : "u1 == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd414922897640683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2",
+ "wx" : "238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd4149228976",
+ "wy" : "40683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004238ced001cf22b8853e02edc89cbeca5050ba7e042a7a77f9382cd414922897640683d3094643840f295890aa4c18aa39b41d77dd0fb3bb2700e4f9ec284ffc2",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEI4ztABzyK4hT4C7cicvspQULp+BCp6d/\nk4LNQUkiiXZAaD0wlGQ4QPKViQqkwYqjm0HXfdD7O7JwDk+ewoT/wg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 390,
+ "comment" : "u1 == n - 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35ed2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf",
+ "wx" : "00961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35e",
+ "wy" : "00d2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004961cf64817c06c0e51b3c2736c922fde18bd8c4906fcd7f5ef66c4678508f35ed2c5d18168cfbe70f2f123bd7419232bb92dd69113e2941061889481c5a027bf",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAElhz2SBfAbA5Rs8JzbJIv3hi9jEkG/Nf1\n72bEZ4UI817SxdGBaM++cPLxI710GSMruS3WkRPilBBhiJSBxaAnvw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 391,
+ "comment" : "u2 == 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0413681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b1028816528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384",
+ "wx" : "13681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b10288",
+ "wy" : "16528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000413681eae168cd4ea7cf2e2a45d052742d10a9f64e796867dbdcb829fe0b1028816528760d177376c09df79de39557c329cc1753517acffe8fa2ec298026b8384",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEE2gerhaM1Op88uKkXQUnQtEKn2TnloZ9\nvcuCn+CxAogWUodg0Xc3bAnfed45VXwynMF1NRes/+j6LsKYAmuDhA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 392,
+ "comment" : "u2 == n - 1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215b8",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "045aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c291c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b",
+ "wx" : "5aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c2",
+ "wy" : "0091c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200045aa7abfdb6b4086d543325e5d79c6e95ce42f866d2bb84909633a04bb1aa31c291c80088794905e1da33336d874e2f91ccf45cc59185bede5dd6f3f7acaae18b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEWqer/ba0CG1UMyXl15xulc5C+GbSu4SQ\nljOgS7GqMcKRyACIeUkF4dozM22HTi+RzPRcxZGFvt5d1vP3rKrhiw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 393,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022016e1e459457679df5b9434ae23f474b3e8d2a70bd6b5dbe692ba16da01f1fb0a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0400277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e464108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41",
+ "wx" : "277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e4",
+ "wy" : "64108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000400277791b305a45b2b39590b2f05d3392a6c8182cef4eb540120e0f5c206c3e464108233fb0b8c3ac892d79ef8e0fbf92ed133addb4554270132584dc52eef41",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEACd3kbMFpFsrOVkLLwXTOSpsgYLO9OtU\nASDg9cIGw+RkEIIz+wuMOsiS15744Pv5LtEzrdtFVCcBMlhNxS7vQQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 394,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02201c940f313f92647be257eccd7ed08b0baef3f0478f25871b53635302c5f6314a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1ac75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49",
+ "wx" : "6efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1a",
+ "wy" : "00c75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046efa092b68de9460f0bcc919005a5f6e80e19de98968be3cd2c770a9949bfb1ac75e6e5087d6550d5f9beb1e79e5029307bc255235e2d5dc99241ac3ab886c49",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbvoJK2jelGDwvMkZAFpfboDhnemJaL48\n0sdwqZSb+xrHXm5Qh9ZVDV+b6x555QKTB7wlUjXi1dyZJBrDq4hsSQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 395,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022015d94a85077b493f91cb7101ec63e1b01be58b594e855f45050a8c14062d689b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0472d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942",
+ "wx" : "72d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058",
+ "wy" : "00e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000472d4a19c4f9d2cf5848ea40445b70d4696b5f02d632c0c654cc7d7eeb0c6d058e8c4cd9943e459174c7ac01fa742198e47e6c19a6bdb0c4f6c237831c1b3f942",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEctShnE+dLPWEjqQERbcNRpa18C1jLAxl\nTMfX7rDG0FjoxM2ZQ+RZF0x6wB+nQhmOR+bBmmvbDE9sI3gxwbP5Qg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 396,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205b1d27a7694c146244a5ad0bd0636d9d9ef3b9fb58385418d9c982105077d1b7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e740258f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec",
+ "wx" : "2a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e7402",
+ "wy" : "58f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042a8ea2f50dcced0c217575bdfa7cd47d1c6f100041ec0e35512794c1be7e740258f8c17122ed303fda7143eb58bede70295b653266013b0b0ebd3f053137f6ec",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEKo6i9Q3M7QwhdXW9+nzUfRxvEABB7A41\nUSeUwb5+dAJY+MFxIu0wP9pxQ+tYvt5wKVtlMmYBOwsOvT8FMTf27A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 397,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202d85896b3eb9dbb5a52f42f9c9261ed3fc46644ec65f06ade3fd78f257e43432",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0488de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b80c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946",
+ "wx" : "0088de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b8",
+ "wy" : "0c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000488de689ce9af1e94be6a2089c8a8b1253ffdbb6c8e9c86249ba220001a4ad3b80c4998e54842f413b9edb1825acbb6335e81e4d184b2b01c8bebdc85d1f28946",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEiN5onOmvHpS+aiCJyKixJT/9u2yOnIYk\nm6IgABpK07gMSZjlSEL0E7ntsYJay7YzXoHk0YSysByL69yF0fKJRg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 398,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205b0b12d67d73b76b4a5e85f3924c3da7f88cc89d8cbe0d5bc7faf1e4afc86864",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9",
+ "wx" : "00fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7",
+ "wy" : "00b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004fea2d31f70f90d5fb3e00e186ac42ab3c1615cee714e0b4e1131b3d4d8225bf7b037a18df2ac15343f30f74067ddf29e817d5f77f8dce05714da59c094f0cda9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE/qLTH3D5DV+z4A4YasQqs8FhXO5xTgtO\nETGz1NgiW/ewN6GN8qwVND8w90Bn3fKegX1fd/jc4FcU2lnAlPDNqQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 399,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220694c146244a5ad0bd0636d9e12bc9e09e60e68b90d0b5e6c5dddd0cb694d8799",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "047258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0",
+ "wx" : "7258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db",
+ "wy" : "17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200047258911e3d423349166479dbe0b8341af7fbd03d0a7e10edccb36b6ceea5a3db17ac2b8992791128fa3b96dc2fbd4ca3bfa782ef2832fc6656943db18e7346b0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEcliRHj1CM0kWZHnb4Lg0Gvf70D0KfhDt\nzLNrbO6lo9sXrCuJknkRKPo7ltwvvUyjv6eC7ygy/GZWlD2xjnNGsA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 400,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203d7f487c07bfc5f30846938a3dcef696444707cf9677254a92b06c63ab867d22",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "044f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470",
+ "wx" : "4f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914",
+ "wy" : "00c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200044f28461dea64474d6bb34d1499c97d37b9e95633df1ceeeaacd45016c98b3914c8818810b8cc06ddb40e8a1261c528faa589455d5a6df93b77bc5e0e493c7470",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAETyhGHepkR01rs00Umcl9N7npVjPfHO7q\nrNRQFsmLORTIgYgQuMwG3bQOihJhxSj6pYlFXVpt+Tt3vF4OSTx0cA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 401,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206c7648fc0fbf8a06adb8b839f97b4ff7a800f11b1e37c593b261394599792ba4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0474f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b",
+ "wx" : "74f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66",
+ "wy" : "00eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000474f2a814fb5d8eca91a69b5e60712732b3937de32829be974ed7b68c5c2f5d66eff0f07c56f987a657f42196205f588c0f1d96fd8a63a5f238b48f478788fe3b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEdPKoFPtdjsqRppteYHEnMrOTfeMoKb6X\nTte2jFwvXWbv8PB8VvmHplf0IZYgX1iMDx2W/YpjpfI4tI9Hh4j+Ow==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 402,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220641c9c5d790dc09cdd3dfabb62cdf453e69747a7e3d7aa1a714189ef53171a99",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6ab2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad",
+ "wx" : "195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6a",
+ "wy" : "00b2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004195b51a7cc4a21b8274a70a90de779814c3c8ca358328208c09a29f336b82d6ab2416b7c92fffdc29c3b1282dd2a77a4d04df7f7452047393d849989c5cee9ad",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGVtRp8xKIbgnSnCpDed5gUw8jKNYMoII\nwJop8za4LWqyQWt8kv/9wpw7EoLdKnek0E3390UgRzk9hJmJxc7prQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 403,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022029798c5c45bdf58b4a7b2fdc2c46ab4af1218c7eeb9f0f27a88f1267674de3b0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0",
+ "wx" : "622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa",
+ "wy" : "736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004622fc74732034bec2ddf3bc16d34b3d1f7a327dd2a8c19bab4bb4fe3a24b58aa736b2f2fae76f4dfaecc9096333b01328d51eb3fda9c9227e90d0b449983c4f0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEYi/HRzIDS+wt3zvBbTSz0fejJ90qjBm6\ntLtP46JLWKpzay8vrnb0367MkJYzOwEyjVHrP9qckifpDQtEmYPE8A==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 404,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02200b70f22ca2bb3cefadca1a5711fa3a59f4695385eb5aedf3495d0b6d00f8fd85",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c70827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93",
+ "wx" : "1f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c7",
+ "wy" : "0827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041f7f85caf2d7550e7af9b65023ebb4dce3450311692309db269969b834b611c70827f45b78020ecbbaf484fdd5bfaae6870f1184c21581baf6ef82bd7b530f93",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEH3+FyvLXVQ56+bZQI+u03ONFAxFpIwnb\nJplpuDS2EccIJ/RbeAIOy7r0hP3Vv6rmhw8RhMIVgbr274K9e1MPkw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 405,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022016e1e459457679df5b9434ae23f474b3e8d2a70bd6b5dbe692ba16da01f1fb0a",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0449c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377aefc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d",
+ "wx" : "49c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377a",
+ "wy" : "00efc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000449c197dc80ad1da47a4342b93893e8e1fb0bb94fc33a83e783c00b24c781377aefc20da92bac762951f72474becc734d4cc22ba81b895e282fdac4df7af0f37d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEScGX3ICtHaR6Q0K5OJPo4fsLuU/DOoPn\ng8ALJMeBN3rvwg2pK6x2KVH3JHS+zHNNTMIrqBuJXigv2sTfevDzfQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 406,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202252d685e831b6cf095e4f0535eeaf0ddd3bfa91c210c9d9dc17224702eaf88f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c",
+ "wx" : "00d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe",
+ "wy" : "7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d8cb68517b616a56400aa3868635e54b6f699598a2f6167757654980baf6acbe7ec8cf449c849aa03461a30efada41453c57c6e6fbc93bbc6fa49ada6dc0555c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE2MtoUXthalZACqOGhjXlS29plZii9hZ3\nV2VJgLr2rL5+yM9EnISaoDRhow762kFFPFfG5vvJO7xvpJrabcBVXA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 407,
+ "comment" : "edge case for u1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022075135abd7c425b60371a477f09ce0f274f64a8c6b061a07b5d63e93c65046c53",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750",
+ "wx" : "030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3",
+ "wy" : "00b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004030713fb63f2aa6fe2cadf1b20efc259c77445dafa87dac398b84065ca347df3b227818de1a39b589cb071d83e5317cccdc2338e51e312fe31d8dc34a4801750",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAwcT+2Pyqm/iyt8bIO/CWcd0Rdr6h9rD\nmLhAZco0ffOyJ4GN4aObWJywcdg+UxfMzcIzjlHjEv4x2Nw0pIAXUA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 408,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b17",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950",
+ "wx" : "00babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7",
+ "wy" : "252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004babb3677b0955802d8e929a41355640eaf1ea1353f8a771331c4946e3480afa7252f196c87ed3d2a59d3b1b559137fed0013fecefc19fb5a92682b9bca51b950",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEurs2d7CVWALY6SmkE1VkDq8eoTU/incT\nMcSUbjSAr6clLxlsh+09KlnTsbVZE3/tABP+zvwZ+1qSaCubylG5UA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 409,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203e888377ac6c71ac9dec3fdb9b56c9feaf0cfaca9f827fc5eb65fc3eac811210",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9",
+ "wx" : "1aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60",
+ "wy" : "00bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041aab2018793471111a8a0e9b143fde02fc95920796d3a63de329b424396fba60bbe4130705174792441b318d3aa31dfe8577821e9b446ec573d272e036c4ebe9",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEGqsgGHk0cREaig6bFD/eAvyVkgeW06Y9\n4ym0JDlvumC75BMHBRdHkkQbMY06ox3+hXeCHptEbsVz0nLgNsTr6Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 410,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022030bbb794db588363b40679f6c182a50d3ce9679acdd3ffbe36d7813dacbdc818",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75",
+ "wx" : "008cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff",
+ "wy" : "47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048cb0b909499c83ea806cd885b1dd467a0119f06a88a0276eb0cfda274535a8ff47b5428833bc3f2c8bf9d9041158cf33718a69961cd01729bc0011d1e586ab75",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjLC5CUmcg+qAbNiFsd1GegEZ8GqIoCdu\nsM/aJ0U1qP9HtUKIM7w/LIv52QQRWM8zcYpplhzQFym8ABHR5YardQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 411,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202c37fd995622c4fb7fffffffffffffffc7cee745110cb45ab558ed7c90c15a2f",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0",
+ "wx" : "008f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d",
+ "wy" : "3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048f03cf1a42272bb1532723093f72e6feeac85e1700e9fbe9a6a2dd642d74bf5d3b89a7189dad8cf75fc22f6f158aa27f9c2ca00daca785be3358f2bda3862ca0",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEjwPPGkInK7FTJyMJP3Lm/urIXhcA6fvp\npqLdZC10v107iacYna2M91/CL28ViqJ/nCygDaynhb4zWPK9o4YsoA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 412,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02207fd995622c4fb7ffffffffffffffffff5d883ffab5b32652ccdcaa290fccb97d",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0444de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8acea2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12",
+ "wx" : "44de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8ace",
+ "wy" : "00a2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000444de3b9c7a57a8c9e820952753421e7d987bb3d79f71f013805c897e018f8acea2460758c8f98d3fdce121a943659e372c326fff2e5fc2ae7fa3f79daae13c12",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAERN47nHpXqMnoIJUnU0IefZh7s9efcfAT\ngFyJfgGPis6iRgdYyPmNP9zhIalDZZ43LDJv/y5fwq5/o/edquE8Eg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 413,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304302207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc021f4cd53ba7608fffffffffffffffffffff9e5cf143e2539626190a3ab09cce47",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204",
+ "wx" : "6fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a",
+ "wy" : "0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046fb8b2b48e33031268ad6a517484dc8839ea90f6669ea0c7ac3233e2ac31394a0ac8bbe7f73c2ff4df9978727ac1dfc2fd58647d20f31f99105316b64671f204",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEb7iytI4zAxJorWpRdITciDnqkPZmnqDH\nrDIz4qwxOUoKyLvn9zwv9N+ZeHJ6wd/C/VhkfSDzH5kQUxa2RnHyBA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 414,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02205622c4fb7fffffffffffffffffffffff928a8f1c7ac7bec1808b9f61c01ec327",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c",
+ "wx" : "00bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6",
+ "wy" : "00f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004bea71122a048693e905ff602b3cf9dd18af69b9fc9d8431d2b1dd26b942c95e6f43c7b8b95eb62082c12db9dbda7fe38e45cbe4a4886907fb81bdb0c5ea9246c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEvqcRIqBIaT6QX/YCs8+d0Yr2m5/J2EMd\nKx3Sa5Qsleb0PHuLletiCCwS2529p/445Fy+SkiGkH+4G9sMXqkkbA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 415,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc022044104104104104104104104104104103b87853fd3b7d3f8e175125b4382f25ed",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391",
+ "wx" : "00da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156",
+ "wy" : "00e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004da918c731ba06a20cb94ef33b778e981a404a305f1941fe33666b45b03353156e2bb2694f575b45183be78e5c9b5210bf3bf488fd4c8294516d89572ca4f5391",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE2pGMcxugaiDLlO8zt3jpgaQEowXxlB/j\nNma0WwM1MVbiuyaU9XW0UYO+eOXJtSEL879Ij9TIKUUW2JVyyk9TkQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 416,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202739ce739ce739ce739ce739ce739ce705560298d1f2f08dc419ac273a5b54d9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5",
+ "wx" : "3007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d",
+ "wy" : "5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043007e92c3937dade7964dfa35b0eff031f7eb02aed0a0314411106cdeb70fe3d5a7546fc0552997b20e3d6f413e75e2cb66e116322697114b79bac734bfc4dc5",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEMAfpLDk32t55ZN+jWw7/Ax9+sCrtCgMU\nQREGzetw/j1adUb8BVKZeyDj1vQT514stm4RYyJpcRS3m6xzS/xNxQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 417,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02204888888888888888888888888888888831c83ae82ebe0898776b4c69d11f88de",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0460e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9bd2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567",
+ "wx" : "60e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9b",
+ "wy" : "00d2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000460e734ef5624d3cbf0ddd375011bd663d6d6aebc644eb599fdf98dbdcd18ce9bd2d90b3ac31f139af832cccf6ccbbb2c6ea11fa97370dc9906da474d7d8a7567",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEYOc071Yk08vw3dN1ARvWY9bWrrxkTrWZ\n/fmNvc0YzpvS2Qs6wx8TmvgyzM9sy7ssbqEfqXNw3JkG2kdNfYp1Zw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 418,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206492492492492492492492492492492406dd3a19b8d5fb875235963c593bd2d3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0485a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba33769744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c",
+ "wx" : "0085a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba337",
+ "wy" : "69744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000485a900e97858f693c0b7dfa261e380dad6ea046d1f65ddeeedd5f7d8af0ba33769744d15add4f6c0bc3b0da2aec93b34cb8c65f9340ddf74e7b0009eeeccce3c",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEhakA6XhY9pPAt9+iYeOA2tbqBG0fZd3u\n7dX32K8LozdpdE0VrdT2wLw7DaKuyTs0y4xl+TQN33TnsACe7szOPA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 419,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02206aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b15",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0438066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed",
+ "wx" : "38066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046",
+ "wy" : "00a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000438066f75d88efc4c93de36f49e037b234cc18b1de5608750a62cab0345401046a3e84bed8cfcb819ef4d550444f2ce4b651766b69e2e2901f88836ff90034fed",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEOAZvddiO/EyT3jb0ngN7I0zBix3lYIdQ\npiyrA0VAEEaj6EvtjPy4Ge9NVQRE8s5LZRdmtp4uKQH4iDb/kANP7Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 420,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02202aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa3e3a49a23a6d8abe95461f8445676b17",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0498f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabfa33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89",
+ "wx" : "0098f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabf",
+ "wy" : "00a33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000498f68177dc95c1b4cbfa5245488ca523a7d5629470d035d621a443c72f39aabfa33d29546fa1c648f2c7d5ccf70cf1ce4ab79b5db1ac059dbecd068dbdff1b89",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEmPaBd9yVwbTL+lJFSIylI6fVYpRw0DXW\nIaRDxy85qr+jPSlUb6HGSPLH1cz3DPHOSrebXbGsBZ2+zQaNvf8biQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 421,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc02203ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "045c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191",
+ "wx" : "5c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277",
+ "wy" : "00e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200045c2bbfa23c9b9ad07f038aa89b4930bf267d9401e4255de9e8da0a5078ec8277e3e882a31d5e6a379e0793983ccded39b95c4353ab2ff01ea5369ba47b0c3191",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEXCu/ojybmtB/A4qom0kwvyZ9lAHkJV3p\n6NoKUHjsgnfj6IKjHV5qN54Hk5g8ze05uVxDU6sv8B6lNpukewwxkQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 422,
+ "comment" : "edge case for u2",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc0220185ddbca6dac41b1da033cfb60c152869e74b3cd66e9ffdf1b6bc09ed65ee40c",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a3853547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc",
+ "wx" : "2ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385",
+ "wy" : "3547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a3853547808298448edb5e701ade84cd5fb1ac9567ba5e8fb68a6b933ec4b5cc84cc",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELqcTNDIznGnSf5smcoG9Ld1fGdYzjUAK\nBc02R7FXo4U1R4CCmESO215wGt6EzV+xrJVnul6Ptoprkz7EtcyEzA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 423,
+ "comment" : "point duplication during verification",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022032b0d10d8d0e04bc8d4d064d270699e87cffc9b49c5c20730e1c26f6105ddcda022029ed3d67b3d505be95580d77d5b792b436881179b2b6b2e04c5fe592d38d82d9",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763",
+ "wx" : "2ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385",
+ "wy" : "00cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200042ea7133432339c69d27f9b267281bd2ddd5f19d6338d400a05cd3647b157a385cab87f7d67bb7124a18fe5217b32a04e536a9845a1704975946cc13a4a337763",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAELqcTNDIznGnSf5smcoG9Ld1fGdYzjUAK\nBc02R7FXo4XKuH99Z7txJKGP5SF7MqBOU2qYRaFwSXWUbME6SjN3Yw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 424,
+ "comment" : "duplication bug",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022032b0d10d8d0e04bc8d4d064d270699e87cffc9b49c5c20730e1c26f6105ddcda022029ed3d67b3d505be95580d77d5b792b436881179b2b6b2e04c5fe592d38d82d9",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff",
+ "wx" : "008aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e",
+ "wy" : "1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048aa2c64fa9c6437563abfbcbd00b2048d48c18c152a2a6f49036de7647ebe82e1ce64387995c68a060fa3bc0399b05cc06eec7d598f75041a4917e692b7f51ff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEiqLGT6nGQ3Vjq/vL0AsgSNSMGMFSoqb0\nkDbedkfr6C4c5kOHmVxooGD6O8A5mwXMBu7H1Zj3UEGkkX5pK39R/w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 425,
+ "comment" : "comparison with point at infinity ",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0022033333333333333333333333333333332f222f8faefdb533f265d461c29a47373",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd",
+ "wx" : "391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71f",
+ "wy" : "00dd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004391427ff7ee78013c14aec7d96a8a062209298a783835e94fd6549d502fff71fdd6624ec343ad9fcf4d9872181e59f842f9ba4cccae09a6c0972fb6ac6b4c6bd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEORQn/37ngBPBSux9lqigYiCSmKeDg16U\n/WVJ1QL/9x/dZiTsNDrZ/PTZhyGB5Z+EL5ukzMrgmmwJcvtqxrTGvQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 426,
+ "comment" : "extreme value for k and edgecase s",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e",
+ "wx" : "00e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138e",
+ "wy" : "00c1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004e762b8a219b4f180219cc7a9059245e4961bd191c03899789c7a34b89e8c138ec1533ef0419bb7376e0bfde9319d10a06968791d9ea0eed9c1ce6345aed9759e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE52K4ohm08YAhnMepBZJF5JYb0ZHAOJl4\nnHo0uJ6ME47BUz7wQZu3N24L/ekxnRCgaWh5HZ6g7tnBzmNFrtl1ng==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 427,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175",
+ "wx" : "009aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952",
+ "wy" : "00fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200049aedb0d281db164e130000c5697fae0f305ef848be6fffb43ac593fbb950e952fa6f633359bdcd82b56b0b9f965b037789d46b9a8141b791b2aefa713f96c175",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEmu2w0oHbFk4TAADFaX+uDzBe+Ei+b/+0\nOsWT+7lQ6VL6b2MzWb3NgrVrC5+WWwN3idRrmoFBt5GyrvpxP5bBdQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 428,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd",
+ "wx" : "008ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee",
+ "wy" : "1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048ad445db62816260e4e687fd1884e48b9fc0636d031547d63315e792e19bfaee1de64f99d5f1cd8b6ec9cb0f787a654ae86993ba3db1008ef43cff0684cb22bd",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEitRF22KBYmDk5of9GITki5/AY20DFUfW\nMxXnkuGb+u4d5k+Z1fHNi27Jyw94emVK6GmTuj2xAI70PP8GhMsivQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 429,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566",
+ "wx" : "1f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32",
+ "wy" : "00e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200041f5799c95be89063b24f26e40cb928c1a868a76fb0094607e8043db409c91c32e75724e813a4191e3a839007f08e2e897388b06d4a00de6de60e536d91fab566",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEH1eZyVvokGOyTybkDLkowahop2+wCUYH\n6AQ9tAnJHDLnVyToE6QZHjqDkAfwji6Jc4iwbUoA3m3mDlNtkfq1Zg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 430,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d",
+ "wx" : "00a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc",
+ "wy" : "28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004a3331a4e1b4223ec2c027edd482c928a14ed358d93f1d4217d39abf69fcb5ccc28d684d2aaabcd6383775caa6239de26d4c6937bb603ecb4196082f4cffd509d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEozMaThtCI+wsAn7dSCySihTtNY2T8dQh\nfTmr9p/LXMwo1oTSqqvNY4N3XKpiOd4m1MaTe7YD7LQZYIL0z/1QnQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 431,
+ "comment" : "extreme value for k",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee502200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d",
+ "wx" : "3f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb24818",
+ "wy" : "5ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200043f3952199774c7cf39b38b66cb1042a6260d8680803845e4d433adba3bb248185ea495b68cbc7ed4173ee63c9042dc502625c7eb7e21fb02ca9a9114e0a3a18d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEPzlSGZd0x885s4tmyxBCpiYNhoCAOEXk\n1DOtujuySBhepJW2jLx+1Bc+5jyQQtxQJiXH634h+wLKmpEU4KOhjQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 432,
+ "comment" : "extreme value for k and edgecase s",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022055555555555555555555555555555554e8e4f44ce51835693ff0ca2ef01215c0",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698",
+ "wx" : "00cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e",
+ "wy" : "054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004cdfb8c0f422e144e137c2412c86c171f5fe3fa3f5bbb544e9076288f3ced786e054fd0721b77c11c79beacb3c94211b0a19bda08652efeaf92513a3b0a163698",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEzfuMD0IuFE4TfCQSyGwXH1/j+j9bu1RO\nkHYojzzteG4FT9ByG3fBHHm+rLPJQhGwoZvaCGUu/q+SUTo7ChY2mA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 433,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d",
+ "wx" : "73598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3",
+ "wy" : "00cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000473598a6a1c68278fa6bfd0ce4064e68235bc1c0f6b20a928108be336730f87e3cbae612519b5032ecc85aed811271a95fe7939d5d3460140ba318f4d14aba31d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEc1mKahxoJ4+mv9DOQGTmgjW8HA9rIKko\nEIvjNnMPh+PLrmElGbUDLsyFrtgRJxqV/nk51dNGAUC6MY9NFKujHQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 434,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0458debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a16773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d",
+ "wx" : "58debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a1",
+ "wy" : "6773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000458debd9a7ee2c9d59132478a5440ae4d5d7ed437308369f92ea86c82183f10a16773e76f5edbf4da0e4f1bdffac0f57257e1dfa465842931309a24245fda6a5d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEWN69mn7iydWRMkeKVECuTV1+1Dcwg2n5\nLqhsghg/EKFnc+dvXtv02g5PG9/6wPVyV+HfpGWEKTEwmiQkX9pqXQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 435,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022066666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f",
+ "wx" : "008b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b",
+ "wy" : "00950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200048b904de47967340c5f8c3572a720924ef7578637feab1949acb241a5a6ac3f5b950904496f9824b1d63f3313bae21b89fae89afdfc811b5ece03fd5aa301864f",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEi5BN5HlnNAxfjDVypyCSTvdXhjf+qxlJ\nrLJBpaasP1uVCQRJb5gksdY/MxO64huJ+uia/fyBG17OA/1aowGGTw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 436,
+ "comment" : "extreme value for k and s^-1",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798022049249249249249249249249249249248c79facd43214c011123c1b03a93412a5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b",
+ "wx" : "00f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a",
+ "wy" : "346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004f4892b6d525c771e035f2a252708f3784e48238604b4f94dc56eaa1e546d941a346b1aa0bce68b1c50e5b52f509fb5522e5c25e028bc8f863402edb7bcad8b1b",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE9IkrbVJcdx4DXyolJwjzeE5II4YEtPlN\nxW6qHlRtlBo0axqgvOaLHFDltS9Qn7VSLlwl4Ci8j4Y0Au23vK2LGw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 437,
+ "comment" : "extreme value for k",
+ "flags" : [
+ "ArithmeticError"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022079be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f8179802200eb10e5ab95f2f275348d82ad2e4d7949c8193800d8c9c75df58e343f0ebba7b",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
+ "wx" : "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
+ "wy" : "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeb5mfvncu6xVoGKVzocLBwKb/NstzijZ\nWfKBWxb4F5hIOtp3JqPEZV2k+/wOEQio/Re0SKaFVBmcR9CP+xDUuA==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 438,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca60502302202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 439,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e02202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777",
+ "wx" : "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798",
+ "wy" : "00b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798b7c52588d95c3b9aa25b0403f1eef75702e84bb7597aabe663b82f6f04ef2777",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeb5mfvncu6xVoGKVzocLBwKb/NstzijZ\nWfKBWxb4F5i3xSWI2Vw7mqJbBAPx7vdXAuhLt1l6q+ZjuC9vBO8ndw==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 440,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca60502302202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ },
+ {
+ "tcId" : 441,
+ "comment" : "public key shares x-coordinate with generator",
+ "flags" : [
+ "PointDuplication"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3044022044a5ad0bd0636d9e12bc9e0a6bdd5e1bba77f523842193b3b82e448e05d5f11e02202492492492492492492492492492492463cfd66a190a6008891e0d81d49a0952",
+ "result" : "invalid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152",
+ "wx" : "782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963",
+ "wy" : "00af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004782c8ed17e3b2a783b5464f33b09652a71c678e05ec51e84e2bcfc663a3de963af9acb4280b8c7f7c42f4ef9aba6245ec1ec1712fd38a0fa96418d8cd6aa6152",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEeCyO0X47Kng7VGTzOwllKnHGeOBexR6E\n4rz8Zjo96WOvmstCgLjH98QvTvmrpiRewewXEv04oPqWQY2M1qphUg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 442,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "",
+ "sig" : "3045022100f80ae4f96cdbc9d853f83d47aae225bf407d51c56b7776cd67d0dc195d99a9dc02204cfc1d941e08cb9aceadde0f4ccead76b30d332fc442115d50e673e28686b70b",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 443,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "4d7367",
+ "sig" : "30440220109cd8ae0374358984a8249c0a843628f2835ffad1df1a9a69aa2fe72355545c02205390ff250ac4274e1cb25cd6ca6491f6b91281e32f5b264d87977aed4a94e77b",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 444,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "313233343030",
+ "sig" : "3045022100d035ee1f17fdb0b2681b163e33c359932659990af77dca632012b30b27a057b302201939d9f3b2858bc13e3474cb50e6a82be44faa71940f876c1cba4c3e989202b6",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 445,
+ "comment" : "pseudorandom signature",
+ "flags" : [
+ "ValidSignature"
+ ],
+ "msg" : "0000000000000000000000000000000000000000",
+ "sig" : "304402204f053f563ad34b74fd8c9934ce59e79c2eb8e6eca0fef5b323ca67d5ac7ed23802204d4b05daa0719e773d8617dce5631c5fd6f59c9bdc748e4b55c970040af01be5",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff00000001060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1",
+ "wx" : "6e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff",
+ "wy" : "01060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff00000001060492d5a5673e0f25d8d50fb7e58c49d86d46d4216955e0aa3d40e1",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEboI1VUUpFAmRgsaywdbwtdKNUMzQBa8s\n4bulQapAyv8AAAABBgSS1aVnPg8l2NUPt+WMSdhtRtQhaVXgqj1A4Q==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 446,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304402206d6a4f556ccce154e7fb9f19e76c3deca13d59cc2aeb4ecad968aab2ded45965022053b9fa74803ede0fc4441bf683d56c564d3e274e09ccf47390badd1471c05fb7",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 447,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022100aad503de9b9fd66b948e9acf596f0a0e65e700b28b26ec56e6e45e846489b3c4021f0ddc3a2f89abb817bb85c062ce02f823c63fc26b269e0bc9b84d81a5aa123d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 448,
+ "comment" : "y-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30450221009182cebd3bb8ab572e167174397209ef4b1d439af3b200cdf003620089e43225022054477c982ea019d2e1000497fc25fcee1bccae55f2ac27530ae53b29c4b356a4",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e",
+ "wx" : "6e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40caff",
+ "wy" : "00fffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046e823555452914099182c6b2c1d6f0b5d28d50ccd005af2ce1bba541aa40cafffffffffef9fb6d2a5a98c1f0da272af0481a73b62792b92bde96aa1e55c2bb4e",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEboI1VUUpFAmRgsaywdbwtdKNUMzQBa8s\n4bulQapAyv/////++fttKlqYwfDaJyrwSBpztieSuSvelqoeVcK7Tg==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 449,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304402203854a3998aebdf2dbc28adac4181462ccac7873907ab7f212c42db0e69b56ed802203ed3f6b8a388d02f3e4df9f2ae9c1bd2c3916a686460dffcd42909cd7f82058e",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 450,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100e94dbdc38795fe5c904d8f16d969d3b587f0a25d2de90b6d8c5c53ff887e360702207a947369c164972521bb8af406813b2d9f94d2aeaa53d4c215aaa0a2578a2c5d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 451,
+ "comment" : "y-coordinate of the public key is large",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022049fc102a08ca47b60e0858cd0284d22cddd7233f94aaffbb2db1dd2cf08425e102205b16fca5a12cdb39701697ad8e39ffd6bdec0024298afaa2326aea09200b14d6",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d",
+ "wx" : "013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0",
+ "wy" : "00f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004000000013fd22248d64d95f73c29b48ab48631850be503fd00f8468b5f0f70e0f6ee7aa43bc2c6fd25b1d8269241cbdd9dbb0dac96dc96231f430705f838717d",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEAAAAAT/SIkjWTZX3PCm0irSGMYUL5QP9\nAPhGi18PcOD27nqkO8LG/SWx2CaSQcvdnbsNrJbcliMfQwcF+DhxfQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 452,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022041efa7d3f05a0010675fcb918a45c693da4b348df21a59d6f9cd73e0d831d67a02204454ada693e5e26b7bd693236d340f80545c834577b6f73d378c7bcc534244da",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 453,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100b615698c358b35920dd883eca625a6c5f7563970cdfc378f8fe0cee17092144c022025f47b326b5be1fb610b885153ea84d41eb4716be66a994e8779989df1c863d4",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 454,
+ "comment" : "x-coordinate of the public key is small",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "304502210087cf8c0eb82d44f69c60a2ff5457d3aaa322e7ec61ae5aecfd678ae1c1932b0e02203add3b115815047d6eb340a3e008989eaa0f8708d1794814729094d08d2460d3",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "0425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35",
+ "wx" : "25afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dffffffff",
+ "wy" : "00fa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a0342000425afd689acabaed67c1f296de59406f8c550f57146a0b4ec2c97876dfffffffffa46a76e520322dfbc491ec4f0cc197420fc4ea5883d8f6dd53c354bc4f67c35",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEJa/WiayrrtZ8Hylt5ZQG+MVQ9XFGoLTs\nLJeHbf/////6RqduUgMi37xJHsTwzBl0IPxOpYg9j23VPDVLxPZ8NQ==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 455,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022062f48ef71ace27bf5a01834de1f7e3f948b9dce1ca1e911d5e13d3b104471d8202205ea8f33f0c778972c4582080deda9b341857dd64514f0849a05f6964c2e34022",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 456,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100f6b0e2f6fe020cf7c0c20137434344ed7add6c4be51861e2d14cbda472a6ffb402206416c8dd3e5c5282b306e8dc8ff34ab64cc99549232d678d714402eb6ca7aa0f",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 457,
+ "comment" : "x-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100db09d8460f05eff23bc7e436b67da563fa4b4edb58ac24ce201fa8a358125057022046da116754602940c8999c8d665f786c50f5772c0a3cdbda075e77eabc64df16",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "04d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff",
+ "wx" : "00d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb9",
+ "wy" : "3f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a03420004d12e6c66b67734c3c84d2601cf5d35dc097e27637f0aca4a4fdb74b6aadd3bb93f5bdff88bd5736df898e699006ed750f11cf07c5866cd7ad70c7121ffffffff",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAE0S5sZrZ3NMPITSYBz1013Al+J2N/CspK\nT9t0tqrdO7k/W9/4i9VzbfiY5pkAbtdQ8RzwfFhmzXrXDHEh/////w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 458,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30440220592c41e16517f12fcabd98267674f974b588e9f35d35406c1a7bb2ed1d19b7b802203e65a06bd9f83caaeb7b00f2368d7e0dece6b12221269a9b5b765198f840a3a1",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 459,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100be0d70887d5e40821a61b68047de4ea03debfdf51cdf4d4b195558b959a032b202207d994b2d8f1dbbeb13534eb3f6e5dccd85f5c4133c27d9e64271b1826ce1f67d",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 460,
+ "comment" : "y-coordinate of the public key has many trailing 1's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100fae92dfcb2ee392d270af3a5739faa26d4f97bfd39ed3cbee4d29e26af3b206a02206c9ba37f9faa6a1fd3f65f23b4e853d4692a7274240a12db7ba3884830630d16",
+ "result" : "valid"
+ }
+ ]
+ },
+ {
+ "type" : "EcdsaBitcoinVerify",
+ "publicKey" : {
+ "type" : "EcPublicKey",
+ "curve" : "secp256k1",
+ "keySize" : 256,
+ "uncompressed" : "046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb",
+ "wx" : "6d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000",
+ "wy" : "00e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb"
+ },
+ "publicKeyDer" : "3056301006072a8648ce3d020106052b8104000a034200046d4a7f60d4774a4f0aa8bbdedb953c7eea7909407e3164755664bc2800000000e659d34e4df38d9e8c9eaadfba36612c769195be86c77aac3f36e78b538680fb",
+ "publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMFYwEAYHKoZIzj0CAQYFK4EEAAoDQgAEbUp/YNR3Sk8KqLve25U8fup5CUB+MWR1\nVmS8KAAAAADmWdNOTfONnoyeqt+6NmEsdpGVvobHeqw/NueLU4aA+w==\n-----END PUBLIC KEY-----\n",
+ "sha" : "SHA-256",
+ "tests" : [
+ {
+ "tcId" : 461,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "30440220176a2557566ffa518b11226694eb9802ed2098bfe278e5570fe1d5d7af18a94302201291df6a0ed5fc0d15098e70bcf13a009284dfd0689d3bb4be6ceeb9be1487c4",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 462,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3044022060be20c3dbc162dd34d26780621c104bbe5dace630171b2daef0d826409ee5c20220427f7e4d889d549170bda6a9409fb1cb8b0e763d13eea7bd97f64cf41dc6e497",
+ "result" : "valid"
+ },
+ {
+ "tcId" : 463,
+ "comment" : "x-coordinate of the public key has many trailing 0's",
+ "flags" : [
+ "EdgeCasePublicKey"
+ ],
+ "msg" : "4d657373616765",
+ "sig" : "3045022100edf03cf63f658883289a1a593d1007895b9f236d27c9c1f1313089aaed6b16ae02201a4dd6fc0814dc523d1fefa81c64fbf5e618e651e7096fccadbb94cd48e5e0cd",
+ "result" : "valid"
+ }
+ ]
+ }
+ ]
+}
diff --git a/tools/tests_wycheproof_generate.py b/tools/tests_wycheproof_generate.py
new file mode 100755
index 0000000000..333f6fbef0
--- /dev/null
+++ b/tools/tests_wycheproof_generate.py
@@ -0,0 +1,114 @@
+#!/usr/bin/env python3
+# Copyright (c) 2023 Random "Randy" Lattice and Sean Andersen
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or https://www.opensource.org/licenses/mit-license.php.
+'''
+Generate a C file with ECDSA testvectors from the Wycheproof project.
+'''
+
+import json
+import hashlib
+import urllib.request
+import sys
+
+filename_input = sys.argv[1]
+
+with open(filename_input) as f:
+ doc = json.load(f)
+
+num_groups = len(doc['testGroups'])
+
+def to_c_array(x):
+ if x == "": return ""
+ s = ',0x'.join(a+b for a,b in zip(x[::2], x[1::2]))
+ return "0x" + s
+
+
+num_vectors = 0
+offset_msg_running, offset_pk_running, offset_sig = 0, 0, 0
+out = ""
+messages = ""
+signatures = ""
+public_keys = ""
+cache_msgs = {}
+cache_public_keys = {}
+
+for i in range(num_groups):
+ group = doc['testGroups'][i]
+ num_tests = len(group['tests'])
+ public_key = group['publicKey']
+ for j in range(num_tests):
+ test_vector = group['tests'][j]
+ # // 2 to convert hex to byte length
+ sig_size = len(test_vector['sig']) // 2
+ msg_size = len(test_vector['msg']) // 2
+
+ if test_vector['result'] == "invalid": expected_verify = 0
+ elif test_vector['result'] == "valid": expected_verify = 1
+ else: raise ValueError("invalid result field")
+
+ if num_vectors != 0 and sig_size != 0: signatures += ",\n "
+
+ new_msg = False
+ msg = to_c_array(test_vector['msg'])
+ msg_offset = offset_msg_running
+ # check for repeated msg
+ if msg not in cache_msgs.keys():
+ if num_vectors != 0 and msg_size != 0: messages += ",\n "
+ cache_msgs[msg] = offset_msg_running
+ messages += msg
+ new_msg = True
+ else:
+ msg_offset = cache_msgs[msg]
+
+ new_pk = False
+ pk = to_c_array(public_key['uncompressed'])
+ pk_offset = offset_pk_running
+ # check for repeated pk
+ if pk not in cache_public_keys.keys():
+ if num_vectors != 0: public_keys += ",\n "
+ cache_public_keys[pk] = offset_pk_running
+ public_keys += pk
+ new_pk = True
+ else:
+ pk_offset = cache_public_keys[pk]
+
+ signatures += to_c_array(test_vector['sig'])
+
+ out += " /" + "* tcId: " + str(test_vector['tcId']) + ". " + test_vector['comment'] + " *" + "/\n"
+ out += " {" + "{0}, {1}, {2}, {3}, {4}, {5}".format(
+ pk_offset,
+ msg_offset,
+ msg_size,
+ offset_sig,
+ sig_size,
+ expected_verify) + " },\n"
+ if new_msg: offset_msg_running += msg_size
+ if new_pk: offset_pk_running += 65
+ offset_sig += sig_size
+ num_vectors += 1
+
+struct_definition = """
+typedef struct {
+ size_t pk_offset;
+ size_t msg_offset;
+ size_t msg_len;
+ size_t sig_offset;
+ size_t sig_len;
+ int expected_verify;
+} wycheproof_ecdsa_testvector;
+"""
+
+
+print("/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */")
+print("#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS ({})".format(num_vectors))
+
+print(struct_definition)
+
+print("static const unsigned char wycheproof_ecdsa_messages[] = { " + messages + "};\n")
+print("static const unsigned char wycheproof_ecdsa_public_keys[] = { " + public_keys + "};\n")
+print("static const unsigned char wycheproof_ecdsa_signatures[] = { " + signatures + "};\n")
+
+print("static const wycheproof_ecdsa_testvector testvectors[SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS] = {")
+print(out)
+print("};")