diff --git a/.gitignore b/.gitignore index 905fab022..66d2e6e86 100644 --- a/.gitignore +++ b/.gitignore @@ -70,3 +70,7 @@ contrib/gh-pr-create.sh /CMakeUserPresets.json # Default CMake build directory. /build + +### Python +__pycache__/ +*.py[oc] diff --git a/CHANGELOG.md b/CHANGELOG.md index ac7cae793..e14073d2c 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -118,7 +118,7 @@ We strongly recommend updating to 0.3.1 if you use or plan to use Clang >=14 to - 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. + - Added tests against [Project Wycheproof's](https://github.com/C2SP/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. diff --git a/CMakeLists.txt b/CMakeLists.txt index 05e497ea3..43751c4d3 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -1,4 +1,4 @@ -cmake_minimum_required(VERSION 3.16) +cmake_minimum_required(VERSION 3.22) #============================= # Project / Package metadata @@ -15,17 +15,6 @@ project(libsecp256k1 enable_testing() list(APPEND CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake) -if(CMAKE_VERSION VERSION_LESS 3.21) - # Emulates CMake 3.21+ behavior. - if(CMAKE_SOURCE_DIR STREQUAL CMAKE_CURRENT_SOURCE_DIR) - set(PROJECT_IS_TOP_LEVEL ON) - set(${PROJECT_NAME}_IS_TOP_LEVEL ON) - else() - set(PROJECT_IS_TOP_LEVEL OFF) - set(${PROJECT_NAME}_IS_TOP_LEVEL OFF) - endif() -endif() - # The library version is based on libtool versioning of the ABI. The set of # rules for updating the version can be found here: # https://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html @@ -71,85 +60,6 @@ option(SECP256K1_ENABLE_MODULE_ECDSA_ADAPTOR "Enable ecdsa adaptor signatures mo option(SECP256K1_ENABLE_MODULE_ECDSA_S2C "Enable ECDSA sign-to-contract module." ON) option(SECP256K1_ENABLE_MODULE_BPPP "Enable Bulletproofs++ module." ON) -# Processing must be done in a topological sorting of the dependency graph -# (dependent module first). -if(SECP256K1_ENABLE_MODULE_BPPP) - if(DEFINED SECP256K1_ENABLE_MODULE_GENERATOR AND NOT SECP256K1_ENABLE_MODULE_GENERATOR) - message(FATAL_ERROR "Module dependency error: You have disabled the generator module explicitly, but it is required by the bppp module.") - endif() - set(SECP256K1_ENABLE_MODULE_GENERATOR ON) - add_compile_definitions(ENABLE_MODULE_BPPP=1) -endif() - -if(SECP256K1_ENABLE_MODULE_ECDSA_S2C) - add_compile_definitions(ENABLE_MODULE_ECDSA_S2C=1) -endif() - -if(SECP256K1_ENABLE_MODULE_ECDSA_ADAPTOR) - add_compile_definitions(ENABLE_MODULE_ECDSA_ADAPTOR=1) -endif() - -if(SECP256K1_ENABLE_MODULE_WHITELIST) - if(DEFINED SECP256K1_ENABLE_MODULE_RANGEPROOF AND NOT SECP256K1_ENABLE_MODULE_RANGEPROOF) - message(FATAL_ERROR "Module dependency error: You have disabled the rangeproof module explicitly, but it is required by the whitelist module.") - endif() - set(SECP256K1_ENABLE_MODULE_RANGEPROOF ON) - add_compile_definitions(ENABLE_MODULE_WHITELIST=1) -endif() - -if(SECP256K1_ENABLE_MODULE_SURJECTIONPROOF) - if(DEFINED SECP256K1_ENABLE_MODULE_RANGEPROOF AND NOT SECP256K1_ENABLE_MODULE_RANGEPROOF) - message(FATAL_ERROR "Module dependency error: You have disabled the rangeproof module explicitly, but it is required by the surjectionproof module.") - endif() - set(SECP256K1_ENABLE_MODULE_RANGEPROOF ON) - add_compile_definitions(ENABLE_MODULE_SURJECTIONPROOF=1) -endif() - -if(SECP256K1_ENABLE_MODULE_RANGEPROOF) - if(DEFINED SECP256K1_ENABLE_MODULE_GENERATOR AND NOT SECP256K1_ENABLE_MODULE_GENERATOR) - message(FATAL_ERROR "Module dependency error: You have disabled the generator module explicitly, but it is required by the rangeproof module.") - endif() - set(SECP256K1_ENABLE_MODULE_GENERATOR ON) - add_compile_definitions(ENABLE_MODULE_RANGEPROOF=1) -endif() - -if(SECP256K1_ENABLE_MODULE_GENERATOR) - add_compile_definitions(ENABLE_MODULE_GENERATOR=1) -endif() - - -if(SECP256K1_ENABLE_MODULE_ELLSWIFT) - add_compile_definitions(ENABLE_MODULE_ELLSWIFT=1) -endif() - -if(SECP256K1_ENABLE_MODULE_MUSIG) - if(DEFINED SECP256K1_ENABLE_MODULE_SCHNORRSIG AND NOT SECP256K1_ENABLE_MODULE_SCHNORRSIG) - message(FATAL_ERROR "Module dependency error: You have disabled the schnorrsig module explicitly, but it is required by the musig module.") - endif() - set(SECP256K1_ENABLE_MODULE_SCHNORRSIG ON) - add_compile_definitions(ENABLE_MODULE_MUSIG=1) -endif() - -if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) - if(DEFINED SECP256K1_ENABLE_MODULE_EXTRAKEYS AND NOT SECP256K1_ENABLE_MODULE_EXTRAKEYS) - message(FATAL_ERROR "Module dependency error: You have disabled the extrakeys module explicitly, but it is required by the schnorrsig module.") - endif() - set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON) - add_compile_definitions(ENABLE_MODULE_SCHNORRSIG=1) -endif() - -if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) - add_compile_definitions(ENABLE_MODULE_EXTRAKEYS=1) -endif() - -if(SECP256K1_ENABLE_MODULE_RECOVERY) - add_compile_definitions(ENABLE_MODULE_RECOVERY=1) -endif() - -if(SECP256K1_ENABLE_MODULE_ECDH) - add_compile_definitions(ENABLE_MODULE_ECDH=1) -endif() - option(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS "Enable external default callback functions." OFF) if(SECP256K1_USE_EXTERNAL_DEFAULT_CALLBACKS) add_compile_definitions(USE_EXTERNAL_DEFAULT_CALLBACKS=1) diff --git a/CMakePresets.json b/CMakePresets.json index b35cd8057..6ed52b8fa 100644 --- a/CMakePresets.json +++ b/CMakePresets.json @@ -1,5 +1,4 @@ { - "cmakeMinimumRequired": {"major": 3, "minor": 21, "patch": 0}, "version": 3, "configurePresets": [ { diff --git a/Makefile.am b/Makefile.am index 5d1cce5c6..cb96350ef 100644 --- a/Makefile.am +++ b/Makefile.am @@ -252,9 +252,17 @@ maintainer-clean-local: clean-precomp ### (see the comments in the previous section for detailed rationale) TESTVECTORS = src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h +if ENABLE_MODULE_ECDH +TESTVECTORS += src/wycheproof/ecdh_secp256k1_test.h +endif + src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h: mkdir -p $(@D) - python3 $(top_srcdir)/tools/tests_wycheproof_generate.py $(top_srcdir)/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json > $@ + python3 $(top_srcdir)/tools/tests_wycheproof_generate_ecdsa.py $(top_srcdir)/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json > $@ + +src/wycheproof/ecdh_secp256k1_test.h: + mkdir -p $(@D) + python3 $(top_srcdir)/tools/tests_wycheproof_generate_ecdh.py $(top_srcdir)/src/wycheproof/ecdh_secp256k1_test.json > $@ testvectors: $(TESTVECTORS) @@ -278,7 +286,9 @@ EXTRA_DIST += sage/secp256k1_params.sage EXTRA_DIST += sage/weierstrass_prover.sage EXTRA_DIST += src/wycheproof/WYCHEPROOF_COPYING EXTRA_DIST += src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json -EXTRA_DIST += tools/tests_wycheproof_generate.py +EXTRA_DIST += src/wycheproof/ecdh_secp256k1_test.json +EXTRA_DIST += tools/tests_wycheproof_generate_ecdsa.py +EXTRA_DIST += tools/tests_wycheproof_generate_ecdh.py if ENABLE_MODULE_SCHNORRSIG_HALFAGG include src/modules/schnorrsig_halfagg/Makefile.am.include diff --git a/README.md b/README.md index 2ab012a83..5baa40296 100644 --- a/README.md +++ b/README.md @@ -64,8 +64,8 @@ Building with Autotools To compile optional modules (such as Schnorr signatures), you need to run `./configure` with additional flags (such as `--enable-module-schnorrsig`). Run `./configure --help` to see the full list of available flags. For experimental modules, you will also need `--enable-experimental` as well as a flag for each individual module, e.g. `--enable-module-rangeproof`. -Building with CMake (experimental) ----------------------------------- +Building with CMake +------------------- To maintain a pristine source tree, CMake encourages to perform an out-of-source build by using a separate dedicated build tree. @@ -108,8 +108,9 @@ Usage examples can be found in the [examples](examples) directory. To compile th * [Schnorr signatures example](examples/schnorr.c) * [Deriving a shared secret (ECDH) example](examples/ecdh.c) * [ElligatorSwift key exchange example](examples/ellswift.c) + * [MuSig2 Schnorr multi-signatures example](examples/musig.c) -To compile the Schnorr signature and ECDH examples, you need to enable the corresponding module by providing a flag to the `configure` script, for example `--enable-module-schnorrsig`. +To compile the examples, make sure the corresponding modules are enabled. Benchmark ------------ diff --git a/ci/linux-debian.Dockerfile b/ci/linux-debian.Dockerfile index a601542fc..d1c3d5faf 100644 --- a/ci/linux-debian.Dockerfile +++ b/ci/linux-debian.Dockerfile @@ -40,7 +40,7 @@ RUN apt-get update && apt-get install --no-install-recommends -y \ apt-get clean && rm -rf /var/lib/apt/lists/* # Build and install gcc snapshot -ARG GCC_SNAPSHOT_MAJOR=15 +ARG GCC_SNAPSHOT_MAJOR=16 RUN apt-get update && apt-get install --no-install-recommends -y wget libgmp-dev libmpfr-dev libmpc-dev flex && \ mkdir gcc && cd gcc && \ wget --progress=dot:giga --https-only --recursive --accept '*.tar.xz' --level 1 --no-directories "https://gcc.gnu.org/pub/gcc/snapshots/LATEST-${GCC_SNAPSHOT_MAJOR}" && \ diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index fcdee8929..8c7f17918 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -1,5 +1,101 @@ -# Must be included before CMAKE_INSTALL_INCLUDEDIR is used. -include(GNUInstallDirs) +add_library(secp256k1) + +set_property(TARGET secp256k1 PROPERTY PUBLIC_HEADER + ${PROJECT_SOURCE_DIR}/include/secp256k1.h + ${PROJECT_SOURCE_DIR}/include/secp256k1_preallocated.h +) + +# Processing must be done in a topological sorting of the dependency graph +# (dependent module first). +if(SECP256K1_ENABLE_MODULE_BPPP) + if(DEFINED SECP256K1_ENABLE_MODULE_GENERATOR AND NOT SECP256K1_ENABLE_MODULE_GENERATOR) + message(FATAL_ERROR "Module dependency error: You have disabled the generator module explicitly, but it is required by the bppp module.") + endif() + set(SECP256K1_ENABLE_MODULE_GENERATOR ON) + add_compile_definitions(ENABLE_MODULE_BPPP=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_bppp.h) +endif() + +if(SECP256K1_ENABLE_MODULE_ECDSA_S2C) + add_compile_definitions(ENABLE_MODULE_ECDSA_S2C=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ecdsa_s2c.h) +endif() + +if(SECP256K1_ENABLE_MODULE_ECDSA_ADAPTOR) + add_compile_definitions(ENABLE_MODULE_ECDSA_ADAPTOR=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ecdsa_adaptor.h) +endif() + +if(SECP256K1_ENABLE_MODULE_WHITELIST) + if(DEFINED SECP256K1_ENABLE_MODULE_RANGEPROOF AND NOT SECP256K1_ENABLE_MODULE_RANGEPROOF) + message(FATAL_ERROR "Module dependency error: You have disabled the rangeproof module explicitly, but it is required by the whitelist module.") + endif() + set(SECP256K1_ENABLE_MODULE_RANGEPROOF ON) + add_compile_definitions(ENABLE_MODULE_WHITELIST=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_whitelist.h) +endif() + +if(SECP256K1_ENABLE_MODULE_SURJECTIONPROOF) + if(DEFINED SECP256K1_ENABLE_MODULE_RANGEPROOF AND NOT SECP256K1_ENABLE_MODULE_RANGEPROOF) + message(FATAL_ERROR "Module dependency error: You have disabled the rangeproof module explicitly, but it is required by the surjectionproof module.") + endif() + set(SECP256K1_ENABLE_MODULE_RANGEPROOF ON) + add_compile_definitions(ENABLE_MODULE_SURJECTIONPROOF=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_surjectionproof.h) +endif() + +if(SECP256K1_ENABLE_MODULE_RANGEPROOF) + if(DEFINED SECP256K1_ENABLE_MODULE_GENERATOR AND NOT SECP256K1_ENABLE_MODULE_GENERATOR) + message(FATAL_ERROR "Module dependency error: You have disabled the generator module explicitly, but it is required by the rangeproof module.") + endif() + set(SECP256K1_ENABLE_MODULE_GENERATOR ON) + add_compile_definitions(ENABLE_MODULE_RANGEPROOF=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_rangeproof.h) +endif() + +if(SECP256K1_ENABLE_MODULE_GENERATOR) + add_compile_definitions(ENABLE_MODULE_GENERATOR=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_generator.h) +endif() + + +if(SECP256K1_ENABLE_MODULE_ELLSWIFT) + add_compile_definitions(ENABLE_MODULE_ELLSWIFT=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ellswift.h) +endif() + +if(SECP256K1_ENABLE_MODULE_MUSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_SCHNORRSIG AND NOT SECP256K1_ENABLE_MODULE_SCHNORRSIG) + message(FATAL_ERROR "Module dependency error: You have disabled the schnorrsig module explicitly, but it is required by the musig module.") + endif() + set(SECP256K1_ENABLE_MODULE_SCHNORRSIG ON) + add_compile_definitions(ENABLE_MODULE_MUSIG=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_musig.h) +endif() + +if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) + if(DEFINED SECP256K1_ENABLE_MODULE_EXTRAKEYS AND NOT SECP256K1_ENABLE_MODULE_EXTRAKEYS) + message(FATAL_ERROR "Module dependency error: You have disabled the extrakeys module explicitly, but it is required by the schnorrsig module.") + endif() + set(SECP256K1_ENABLE_MODULE_EXTRAKEYS ON) + add_compile_definitions(ENABLE_MODULE_SCHNORRSIG=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_schnorrsig.h) +endif() + +if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) + add_compile_definitions(ENABLE_MODULE_EXTRAKEYS=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_extrakeys.h) +endif() + +if(SECP256K1_ENABLE_MODULE_RECOVERY) + add_compile_definitions(ENABLE_MODULE_RECOVERY=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_recovery.h) +endif() + +if(SECP256K1_ENABLE_MODULE_ECDH) + add_compile_definitions(ENABLE_MODULE_ECDH=1) + set_property(TARGET secp256k1 APPEND PROPERTY PUBLIC_HEADER ${PROJECT_SOURCE_DIR}/include/secp256k1_ecdh.h) +endif() add_library(secp256k1_precomputed OBJECT EXCLUDE_FROM_ALL precomputed_ecmult.c @@ -8,7 +104,12 @@ add_library(secp256k1_precomputed OBJECT EXCLUDE_FROM_ALL # Add objects explicitly rather than linking to the object libs to keep them # from being exported. -add_library(secp256k1 secp256k1.c $) +target_sources(secp256k1 PRIVATE secp256k1.c $) + +# Create a helper lib that parent projects can use to link secp256k1 into a +# static lib. +add_library(secp256k1_objs INTERFACE) +target_sources(secp256k1_objs INTERFACE $ $) add_library(secp256k1_asm INTERFACE) if(SECP256K1_ASM STREQUAL "arm32") @@ -17,6 +118,7 @@ if(SECP256K1_ASM STREQUAL "arm32") asm/field_10x26_arm.s ) target_sources(secp256k1 PRIVATE $) + target_sources(secp256k1_objs INTERFACE $) target_link_libraries(secp256k1_asm INTERFACE secp256k1_asm_arm) endif() @@ -31,10 +133,12 @@ endif() get_target_property(use_pic secp256k1 POSITION_INDEPENDENT_CODE) set_target_properties(secp256k1_precomputed PROPERTIES POSITION_INDEPENDENT_CODE ${use_pic}) +# Add the include path for parent projects so that they don't have to manually add it. target_include_directories(secp256k1 INTERFACE - # Add the include path for parent projects so that they don't have to manually add it. $>:${PROJECT_SOURCE_DIR}/include>> - $ +) +set_target_properties(secp256k1_objs PROPERTIES + INTERFACE_INCLUDE_DIRECTORIES "$" ) # This emulates Libtool to make sure Libtool and CMake agree on the ABI version, @@ -48,20 +152,12 @@ if(CMAKE_SYSTEM_NAME STREQUAL "Linux") VERSION ${${PROJECT_NAME}_soversion}.${${PROJECT_NAME}_LIB_VERSION_AGE}.${${PROJECT_NAME}_LIB_VERSION_REVISION} ) elseif(APPLE) - if(CMAKE_VERSION VERSION_GREATER_EQUAL 3.17) - math(EXPR ${PROJECT_NAME}_compatibility_version "${${PROJECT_NAME}_LIB_VERSION_CURRENT} + 1") - set_target_properties(secp256k1 PROPERTIES - MACHO_COMPATIBILITY_VERSION ${${PROJECT_NAME}_compatibility_version} - MACHO_CURRENT_VERSION ${${PROJECT_NAME}_compatibility_version}.${${PROJECT_NAME}_LIB_VERSION_REVISION} - ) - unset(${PROJECT_NAME}_compatibility_version) - elseif(BUILD_SHARED_LIBS) - message(WARNING - "The 'compatibility version' and 'current version' values of the DYLIB " - "will diverge from the values set by the GNU Libtool. To ensure " - "compatibility, it is recommended to upgrade CMake to at least version 3.17." - ) - endif() + math(EXPR ${PROJECT_NAME}_compatibility_version "${${PROJECT_NAME}_LIB_VERSION_CURRENT} + 1") + set_target_properties(secp256k1 PROPERTIES + MACHO_COMPATIBILITY_VERSION ${${PROJECT_NAME}_compatibility_version} + MACHO_CURRENT_VERSION ${${PROJECT_NAME}_compatibility_version}.${${PROJECT_NAME}_LIB_VERSION_REVISION} + ) + unset(${PROJECT_NAME}_compatibility_version) elseif(CMAKE_SYSTEM_NAME STREQUAL "Windows") set(${PROJECT_NAME}_windows "secp256k1") if(MSVC) @@ -110,58 +206,16 @@ if(SECP256K1_BUILD_CTIME_TESTS) endif() if(SECP256K1_INSTALL) + include(GNUInstallDirs) + target_include_directories(secp256k1 INTERFACE + $ + ) install(TARGETS secp256k1 EXPORT ${PROJECT_NAME}-targets RUNTIME DESTINATION ${CMAKE_INSTALL_BINDIR} LIBRARY DESTINATION ${CMAKE_INSTALL_LIBDIR} ARCHIVE DESTINATION ${CMAKE_INSTALL_LIBDIR} - ) - set(${PROJECT_NAME}_headers - "${PROJECT_SOURCE_DIR}/include/secp256k1.h" - "${PROJECT_SOURCE_DIR}/include/secp256k1_preallocated.h" - ) - if(SECP256K1_ENABLE_MODULE_BPPP) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_bppp.h") - endif() - if(SECP256K1_ENABLE_MODULE_ECDSA_S2C) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ecdsa_s2c.h") - endif() - if(SECP256K1_ENABLE_MODULE_ECDSA_ADAPTOR) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ecdsa_adaptor.h") - endif() - if(SECP256K1_ENABLE_MODULE_WHITELIST) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_whitelist.h") - endif() - if(SECP256K1_ENABLE_MODULE_SURJECTIONPROOF) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_surjectionproof.h") - endif() - if(SECP256K1_ENABLE_MODULE_RANGEPROOF) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_rangeproof.h") - endif() - if(SECP256K1_ENABLE_MODULE_GENERATOR) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_generator.h") - endif() - - if(SECP256K1_ENABLE_MODULE_ECDH) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ecdh.h") - endif() - if(SECP256K1_ENABLE_MODULE_RECOVERY) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_recovery.h") - endif() - if(SECP256K1_ENABLE_MODULE_EXTRAKEYS) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_extrakeys.h") - endif() - if(SECP256K1_ENABLE_MODULE_SCHNORRSIG) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_schnorrsig.h") - endif() - if(SECP256K1_ENABLE_MODULE_MUSIG) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_musig.h") - endif() - if(SECP256K1_ENABLE_MODULE_ELLSWIFT) - list(APPEND ${PROJECT_NAME}_headers "${PROJECT_SOURCE_DIR}/include/secp256k1_ellswift.h") - endif() - install(FILES ${${PROJECT_NAME}_headers} - DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} + PUBLIC_HEADER DESTINATION ${CMAKE_INSTALL_INCLUDEDIR} ) install(EXPORT ${PROJECT_NAME}-targets diff --git a/src/bench.c b/src/bench.c index 149f25fce..8ba7623a0 100644 --- a/src/bench.c +++ b/src/bench.c @@ -16,18 +16,22 @@ static void help(int default_iters) { printf("Benchmarks the following algorithms:\n"); printf(" - ECDSA signing/verification\n"); -#ifdef ENABLE_MODULE_ECDH - printf(" - ECDH key exchange (optional module)\n"); -#endif - #ifdef ENABLE_MODULE_RECOVERY printf(" - Public key recovery (optional module)\n"); #endif +#ifdef ENABLE_MODULE_ECDH + printf(" - ECDH key exchange (optional module)\n"); +#endif + #ifdef ENABLE_MODULE_SCHNORRSIG printf(" - Schnorr signatures (optional module)\n"); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + printf(" - ElligatorSwift (optional module)\n"); +#endif + printf("\n"); printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters); printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n"); diff --git a/src/bench_ecmult.c b/src/bench_ecmult.c index 172292d57..b2bab65d2 100644 --- a/src/bench_ecmult.c +++ b/src/bench_ecmult.c @@ -56,6 +56,7 @@ typedef struct { /* Benchmark output. */ secp256k1_gej* output; + secp256k1_fe* output_xonly; } bench_data; /* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */ @@ -123,6 +124,32 @@ static void bench_ecmult_const_teardown(void* arg, int iters) { bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); } +static void bench_ecmult_const_xonly(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + for (i = 0; i < iters; ++i) { + const secp256k1_ge* pubkey = &data->pubkeys[(data->offset1+i) % POINTS]; + const secp256k1_scalar* scalar = &data->scalars[(data->offset2+i) % POINTS]; + int known_on_curve = 1; + secp256k1_ecmult_const_xonly(&data->output_xonly[i], &pubkey->x, NULL, scalar, known_on_curve); + } +} + +static void bench_ecmult_const_xonly_teardown(void* arg, int iters) { + bench_data* data = (bench_data*)arg; + int i; + + /* verify by comparing with x coordinate of regular ecmult result */ + for (i = 0; i < iters; ++i) { + const secp256k1_gej* pubkey_gej = &data->pubkeys_gej[(data->offset1+i) % POINTS]; + const secp256k1_scalar* scalar = &data->scalars[(data->offset2+i) % POINTS]; + secp256k1_gej expected_gej; + secp256k1_ecmult(&expected_gej, pubkey_gej, scalar, NULL); + CHECK(secp256k1_gej_eq_x_var(&data->output_xonly[i], &expected_gej)); + } +} + static void bench_ecmult_1p(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; @@ -171,6 +198,8 @@ static void run_ecmult_bench(bench_data* data, int iters) { run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters); sprintf(str, "ecmult_const"); run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters); + sprintf(str, "ecmult_const_xonly"); + run_benchmark(str, bench_ecmult_const_xonly, bench_ecmult_setup, bench_ecmult_const_xonly_teardown, data, 10, iters); /* ecmult with non generator point */ sprintf(str, "ecmult_1p"); run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters); @@ -319,6 +348,7 @@ int main(int argc, char **argv) { data.pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS); data.expected_output = malloc(sizeof(secp256k1_gej) * (iters + 1)); data.output = malloc(sizeof(secp256k1_gej) * (iters + 1)); + data.output_xonly = malloc(sizeof(secp256k1_fe) * (iters + 1)); /* Generate a set of scalars, and private/public keypairs. */ secp256k1_gej_set_ge(&data.pubkeys_gej[0], &secp256k1_ge_const_g); @@ -361,6 +391,7 @@ int main(int argc, char **argv) { free(data.pubkeys); free(data.pubkeys_gej); free(data.seckeys); + free(data.output_xonly); free(data.output); free(data.expected_output); diff --git a/src/ecmult_const_impl.h b/src/ecmult_const_impl.h index 0d78f7c3c..4f6620910 100644 --- a/src/ecmult_const_impl.h +++ b/src/ecmult_const_impl.h @@ -373,6 +373,8 @@ static int secp256k1_ecmult_const_xonly(secp256k1_fe* r, const secp256k1_fe *n, } } + SECP256K1_FE_VERIFY_MAGNITUDE(&g, 2); + /* 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); diff --git a/src/modules/ecdh/Makefile.am.include b/src/modules/ecdh/Makefile.am.include index 7f7f95f1f..186605352 100644 --- a/src/modules/ecdh/Makefile.am.include +++ b/src/modules/ecdh/Makefile.am.include @@ -2,3 +2,4 @@ include_HEADERS += include/secp256k1_ecdh.h noinst_HEADERS += src/modules/ecdh/main_impl.h noinst_HEADERS += src/modules/ecdh/tests_impl.h noinst_HEADERS += src/modules/ecdh/bench_impl.h +noinst_HEADERS += src/wycheproof/ecdh_secp256k1_test.h diff --git a/src/modules/ecdh/tests_impl.h b/src/modules/ecdh/tests_impl.h index 3c3acdaf8..6888f18c6 100644 --- a/src/modules/ecdh/tests_impl.h +++ b/src/modules/ecdh/tests_impl.h @@ -7,6 +7,13 @@ #ifndef SECP256K1_MODULE_ECDH_TESTS_H #define SECP256K1_MODULE_ECDH_TESTS_H +static int ecdh_hash_function_test_xpassthru(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { + (void)y; + (void)data; + memcpy(output, x, 32); + return 1; +} + static int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) { (void)output; (void)x; @@ -142,11 +149,45 @@ static void test_result_basepoint(void) { } } +static void test_ecdh_wycheproof(void) { +#include "../../wycheproof/ecdh_secp256k1_test.h" + int t; + for (t = 0; t < SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS; t++) { + int parsed_ok; + secp256k1_pubkey point; + const unsigned char *pk; + const unsigned char *sk; + const unsigned char *expected_shared_secret; + unsigned char output_ecdh[65] = { 0 }; + + int expected_result; + + memset(&point, 0, sizeof(point)); + pk = &wycheproof_ecdh_public_keys[testvectors[t].pk_offset]; + parsed_ok = secp256k1_ec_pubkey_parse(CTX, &point, pk, testvectors[t].pk_len); + + expected_result = testvectors[t].expected_result; + CHECK(parsed_ok == expected_result); + if (!parsed_ok) { + continue; + } + + sk = &wycheproof_ecdh_private_keys[testvectors[t].sk_offset]; + CHECK(testvectors[t].sk_len == 32); + + CHECK(secp256k1_ecdh(CTX, output_ecdh, &point, sk, ecdh_hash_function_test_xpassthru, NULL) == 1); + expected_shared_secret = &wycheproof_ecdh_shared_secrets[testvectors[t].shared_offset]; + + CHECK(secp256k1_memcmp_var(output_ecdh, expected_shared_secret, testvectors[t].shared_len) == 0); + } +} + static void run_ecdh_tests(void) { test_ecdh_api(); test_ecdh_generator_basepoint(); test_bad_scalar(); test_result_basepoint(); + test_ecdh_wycheproof(); } #endif /* SECP256K1_MODULE_ECDH_TESTS_H */ diff --git a/src/wycheproof/WYCHEPROOF_COPYING b/src/wycheproof/WYCHEPROOF_COPYING index cddf9d918..269570434 100644 --- a/src/wycheproof/WYCHEPROOF_COPYING +++ b/src/wycheproof/WYCHEPROOF_COPYING @@ -1,11 +1,20 @@ * 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 + comes from project Wycheproof with git commit + `df4e933efef449fc88af0c06e028d425d84a9495`, see + https://github.com/C2SP/wycheproof/blob/df4e933efef449fc88af0c06e028d425d84a9495/testvectors_v1/ecdsa_secp256k1_sha256_bitcoin_test.json + +* The file `ecdh_secp256k1_test.json` in this directory + comes from project Wycheproof with git commit + `df4e933efef449fc88af0c06e028d425d84a9495`, see + https://github.com/C2SP/wycheproof/blob/df4e933efef449fc88af0c06e028d425d84a9495/testvectors_v1/ecdh_secp256k1_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`. + `tests_wycheproof_generate_ecdsa.py`. + +* The file `ecdh_secp256k1_test.h` is generated from + `ecdh_secp256k1_test.json` using the script + `tests_wycheproof_generate_ecdh.py`. ------------------------------------------------------------------------------- diff --git a/src/wycheproof/ecdh_secp256k1_test.h b/src/wycheproof/ecdh_secp256k1_test.h new file mode 100644 index 000000000..02a087e53 --- /dev/null +++ b/src/wycheproof/ecdh_secp256k1_test.h @@ -0,0 +1,2008 @@ +/* Note: this file was autogenerated using tests_wycheproof_ecdh.py. Do not edit. */ +#define SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS (503) + +typedef struct { + size_t pk_offset; + size_t pk_len; + size_t sk_offset; + size_t sk_len; + size_t shared_offset; + size_t shared_len; + int expected_result; + int wycheproof_tcid; +} wycheproof_ecdh_testvector; + +static const unsigned char wycheproof_ecdh_private_keys[] = { 0xf4,0xb7,0xff,0x7c,0xcc,0xc9,0x88,0x13,0xa6,0x9f,0xae,0x3d,0xf2,0x22,0xbf,0xe3,0xf4,0xe2,0x8f,0x76,0x4b,0xf9,0x1b,0x4a,0x10,0xd8,0x09,0x6c,0xe4,0x46,0xb2,0x54, + 0xa2,0xb6,0x44,0x2a,0x37,0xf8,0xa3,0x76,0x4a,0xef,0xf4,0x01,0x1a,0x4c,0x42,0x2b,0x38,0x9a,0x1e,0x50,0x96,0x69,0xc4,0x3f,0x27,0x9c,0x8b,0x7e,0x32,0xd8,0x0c,0x3a, + 0x2b,0xc1,0x5c,0xf3,0x98,0x1e,0xab,0x61,0xe5,0x94,0xeb,0xf5,0x91,0x29,0x0a,0x04,0x5c,0xa9,0x32,0x6a,0x8d,0x3d,0xd4,0x9f,0x3d,0xe1,0x19,0x0d,0x39,0x27,0x0b,0xb8, + 0x93,0x8f,0x3d,0xbe,0x37,0x13,0x5c,0xd8,0xc8,0xc4,0x8a,0x67,0x6b,0x28,0xb2,0x33,0x4b,0x72,0xa3,0xf0,0x98,0x14,0xc8,0xef,0xb6,0xa4,0x51,0xbe,0x00,0xc9,0x3d,0x23, + 0xc1,0x78,0x1d,0x86,0xca,0xc2,0xc0,0x52,0xb8,0x65,0xf2,0x28,0xe6,0x4b,0xd1,0xce,0x43,0x3c,0x78,0xca,0x7d,0xfc,0xa9,0xe8,0xb8,0x10,0x47,0x3e,0x2c,0xe1,0x7d,0xa5, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03, + 0x00,0x00,0x00,0x00,0xff,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,0xff, + 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x7f,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,0xff,0xff,0xff,0xff, + 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xfe,0xba,0xae,0xdc,0xe6,0xaf,0x48,0xa0,0x3a,0xbf,0xd2,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 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,0xc2,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 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,0xca,0x5e,0x8c,0xd0,0x36,0x41,0x41, + 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,0x8b,0xd0,0x36,0x41,0x41, + 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,0xd0,0x36,0x40,0xc3, + 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,0xd0,0x36,0x41,0x03, + 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,0xd0,0x36,0x41,0x23, + 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,0xd0,0x36,0x41,0x33, + 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,0xd0,0x36,0x41,0x3b, + 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,0xd0,0x36,0x41,0x3e, + 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,0xd0,0x36,0x41,0x3f, + 0xc6,0xca,0xfb,0x74,0xe2,0xa5,0x0c,0x83,0xb3,0xd2,0x32,0xc4,0x58,0x52,0x37,0xf4,0x4d,0x4c,0x54,0x33,0xc4,0xb3,0xf5,0x0c,0xe9,0x78,0xe6,0xae,0xda,0x3a,0x4f,0x5d, + 0xcf,0xe7,0x5e,0xe7,0x64,0x19,0x7a,0xa7,0x73,0x2a,0x54,0x78,0x55,0x6b,0x47,0x88,0x98,0x42,0x3d,0x2b,0xc0,0xe4,0x84,0xa6,0xeb,0xb3,0x67,0x4a,0x60,0x36,0xa6,0x5d, + 0xd0,0x91,0x82,0xa4,0xd0,0xc9,0x4b,0xa8,0x5f,0x82,0xef,0xf9,0xfc,0x1b,0xdd,0xb0,0xb0,0x7d,0x3f,0x2a,0xf8,0x63,0x2f,0xc1,0xc7,0x3a,0x36,0x04,0xe8,0xf0,0xb3,0x35}; + +static const unsigned char wycheproof_ecdh_public_keys[] = { 0x04,0xd8,0x09,0x6a,0xf8,0xa1,0x1e,0x0b,0x80,0x03,0x7e,0x1e,0xe6,0x82,0x46,0xb5,0xdc,0xbb,0x0a,0xeb,0x1c,0xf1,0x24,0x4f,0xd7,0x67,0xdb,0x80,0xf3,0xfa,0x27,0xda,0x2b,0x39,0x68,0x12,0xea,0x16,0x86,0xe7,0x47,0x2e,0x96,0x92,0xea,0xf3,0xe9,0x58,0xe5,0x0e,0x95,0x00,0xd3,0xb4,0xc7,0x72,0x43,0xdb,0x1f,0x2a,0xcd,0x67,0xba,0x9c,0xc4, + 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0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0xff,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, + 0x04,0xff,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,0x2e,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x04,0xff,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,0x2e,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x04,0xff,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,0x2e,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,0x2e, + 0x04,0xff,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,0x2e,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, + 0x04,0xff,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,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, + 0x04,0xff,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,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x04,0xff,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,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,0x2e, + 0x04,0xff,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,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, + 0x04,0x49,0xc2,0x48,0xed,0xc6,0x59,0xe1,0x84,0x82,0xb7,0x10,0x57,0x48,0xa4,0xb9,0x5d,0x3a,0x46,0x95,0x2a,0x5b,0xa7,0x2d,0xa0,0xd7,0x02,0xdc,0x97,0xa6,0x4e,0x99,0x79,0x9d,0x8c,0xff,0x7a,0x5c,0x4b,0x92,0x5e,0x43,0x60,0xec,0xe2,0x5c,0xcf,0x30,0x7d,0x7a,0x9a,0x70,0x63,0x28,0x6b,0xbd,0x16,0xef,0x64,0xc6,0x5f,0x54,0x67,0x57,0xe4, + 0x04,0x49,0xc2,0x48,0xed,0xc6,0x59,0xe1,0x84,0x82,0xb7,0x10,0x57,0x48,0xa4,0xb9,0x5d,0x3a,0x46,0x95,0x2a,0x5b,0xa7,0x2d,0xa0,0xd7,0x02,0xdc,0x97,0xa6,0x4e,0x99,0x79,0x9d,0x8c,0xff,0x7a,0x5c,0x4b,0x92,0x5e,0x43,0x60,0xec,0xe2,0x5c,0xcf,0x30,0x7d,0x7a,0x9a,0x70,0x63,0x28,0x6b,0xbd,0x16,0xef,0x64,0xc6,0x5f,0x54,0x67,0x57,0xe2, + 0x04,0x07,0x4f,0x56,0xdc,0x2e,0xa6,0x48,0xef,0x89,0xc3,0xb7,0x2e,0x23,0xbb,0xd2,0xda,0x36,0xf6,0x02,0x43,0xe4,0xd2,0x06,0x7b,0x70,0x60,0x4a,0xf1,0xc2,0x16,0x5c,0xec,0x2f,0x86,0x60,0x3d,0x60,0xc8,0xa6,0x11,0xd5,0xb8,0x4b,0xa3,0xd9,0x1d,0xfe,0x1a,0x48,0x08,0x25,0xbc,0xc4,0xaf,0x3b,0xcf, + 0x04,0xcb,0xf6,0x60,0x65,0x95,0xa3,0xee,0x50,0xf9,0xfc,0xea,0xa2,0x79,0x8c,0x27,0x40,0xc8,0x25,0x40,0x51,0x6b,0x4e,0x5a,0x7d,0x36,0x1f,0xf2,0x4e,0x9d,0xd1,0x53,0x64,0xe5,0x40,0x8b,0x2e,0x67,0x9f,0x9d,0x53,0x10,0xd1,0xf6,0x89,0x3b,0x36,0xce,0x16,0xb4,0xa5,0x07,0x50,0x91,0x75,0xfc,0xb5,0x2a,0xea,0x53,0xb7,0x81,0x55,0x6b,0x39, + 0x04,0xfb,0x60,0x75,0xd2,0x6c,0x35,0x01,0xc0,0x14,0xe4,0x8c,0x79,0xb3,0x46,0x3c,0xd7,0x68,0x37,0x8c,0x39,0x0d,0x7e,0x6e,0xeb,0x37,0x97,0x17,0xd4,0x90,0xc4,0xe6,0x34,0x78,0x04,0x35,0x77,0x19,0x79,0x87,0x88,0x16,0x70,0xbc,0x13,0xfd,0x0b,0x5f,0x0b,0xa1,0x0f,0x06,0xbc,0xef,0x27,0x11,0xc2,0x8f,0x5e,0xfd,0x7e,0x31,0xd5,0x15,0x7c, + 0x02,0x97,0x7c,0xb7,0xfb,0x9a,0x0e,0xc5,0xb2,0x08,0xe8,0x11,0xd6,0xa0,0x79,0x5e,0xb7,0x8d,0x76,0x42,0xe3,0xca,0xc4,0x2a,0x80,0x1b,0xcc,0x8f,0xc0,0xf0,0x64,0x72,0xd4}; + +static const unsigned char wycheproof_ecdh_shared_secrets[] = { 0x54,0x4d,0xfa,0xe2,0x2a,0xf6,0xaf,0x93,0x90,0x42,0xb1,0xd8,0x5b,0x71,0xa1,0xe4,0x9e,0x9a,0x56,0x14,0x12,0x3c,0x4d,0x6a,0xd0,0xc8,0xaf,0x65,0xba,0xf8,0x7d,0x65, + 0x54,0x4d,0xfa,0xe2,0x2a,0xf6,0xaf,0x93,0x90,0x42,0xb1,0xd8,0x5b,0x71,0xa1,0xe4,0x9e,0x9a,0x56,0x14,0x12,0x3c,0x4d,0x6a,0xd0,0xc8,0xaf,0x65,0xba,0xf8,0x7d,0x65, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03, + 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,0x2c, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x07, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01, + 0x0b,0x7b,0xeb,0xa3,0x4f,0xeb,0x64,0x7d,0xa2,0x00,0xbe,0xd0,0x5f,0xad,0x57,0xc0,0x34,0x8d,0x24,0x9e,0x2a,0x90,0xc8,0x8f,0x31,0xf9,0x94,0x8b,0xb6,0x5d,0x52,0x07, + 0x21,0x0c,0x79,0x05,0x73,0x63,0x23,0x59,0xb1,0xed,0xb4,0x30,0x2c,0x11,0x7d,0x8a,0x13,0x26,0x54,0x69,0x2c,0x3f,0xee,0xb7,0xde,0x3a,0x86,0xac,0x3f,0x3b,0x53,0xf7, + 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0xd1,0x6c,0xae,0xdd,0x25,0x79,0x36,0x66,0xf9,0xe2,0x6f,0x53,0x31,0x38,0x21,0x06,0xf5,0x40,0x95,0xb3,0xd2,0x0d,0x40,0xc7,0x45,0xb6,0x8c,0xa7,0x6c,0x0e,0x69,0x83, + 0xb8,0xae,0x1e,0x21,0xd8,0xb3,0x4c,0xe4,0xca,0xff,0xed,0x71,0x67,0xa2,0x68,0x68,0xec,0x80,0xa7,0xd4,0xa6,0xa9,0x8b,0x63,0x9d,0x4d,0x05,0xcd,0x22,0x65,0x04,0xde, + 0x02,0x77,0x63,0x15,0xfe,0x14,0x7a,0x36,0xa4,0xb0,0x98,0x74,0x92,0xb6,0x50,0x3a,0xcd,0xea,0x60,0xf9,0x26,0x45,0x0e,0x5e,0xdd,0xb9,0xf8,0x8f,0xc8,0x21,0x78,0xd3, + 0x39,0x88,0xc9,0xc7,0x05,0x0a,0x28,0x79,0x49,0x34,0xe5,0xbd,0x67,0x62,0x9b,0x55,0x6d,0x97,0xa4,0x85,0x8d,0x22,0x81,0x28,0x35,0xf4,0xa3,0x7d,0xca,0x35,0x19,0x43, + 0x34,0x00,0x56,0x94,0xe3,0xca,0xc0,0x93,0x32,0xaa,0x42,0x80,0x7e,0x3a,0xfd,0xc3,0xb3,0xb3,0xbc,0x7c,0x7b,0xe8,0x87,0xd1,0xf9,0x8d,0x76,0x77,0x8c,0x55,0xcf,0xd7, + 0x4b,0x52,0x25,0x7d,0x8b,0x3b,0xa3,0x87,0x79,0x7f,0xdf,0x7a,0x75,0x2f,0x19,0x5d,0xdc,0x4f,0x7d,0x76,0x26,0x3d,0xe6,0x1d,0x0d,0x52,0xa5,0xec,0x14,0xa3,0x6c,0xbf, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff, + 0x38,0x0c,0x53,0xe0,0xa5,0x09,0xeb,0xb3,0xb6,0x33,0x46,0x59,0x81,0x05,0x21,0x9b,0x43,0xd5,0x1a,0xe1,0x96,0xb4,0x55,0x7d,0x59,0xbb,0xd6,0x78,0x24,0x03,0x2d,0xff}; + +static const wycheproof_ecdh_testvector testvectors[SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS] = { + /* tcId: 1. normal case */ + {0, 65, 0, 32, 0, 32, 1, 1 }, + /* tcId: 2. compressed public key */ + {65, 33, 0, 32, 32, 32, 1, 2 }, + /* tcId: 3. shared secret has x-coordinate that satisfies x**2 + a = 1 */ + {98, 65, 32, 32, 64, 32, 1, 3 }, + /* tcId: 4. shared secret has x-coordinate that satisfies x**2 + a = 4 */ + {163, 65, 32, 32, 96, 32, 1, 4 }, + /* tcId: 5. shared secret has x-coordinate that satisfies x**2 + a = 9 */ + {228, 65, 32, 32, 128, 32, 1, 5 }, + /* tcId: 6. shared secret has x-coordinate p-3 */ + {293, 65, 32, 32, 160, 32, 1, 6 }, + /* tcId: 7. shared secret has x-coordinate 2**16 + 0 */ + {358, 65, 32, 32, 192, 32, 1, 7 }, + /* tcId: 8. shared secret has x-coordinate 2**32 + 7 */ + {423, 65, 32, 32, 224, 32, 1, 8 }, + /* tcId: 9. shared secret has x-coordinate 2**64 + 1 */ + {488, 65, 32, 32, 256, 32, 1, 9 }, + /* tcId: 10. shared secret has x-coordinate 2**96 + 1 */ + {553, 65, 32, 32, 288, 32, 1, 10 }, + /* tcId: 11. shared secret has x-coordinate that satisfies x**2 + a = -6 */ + {618, 65, 32, 32, 320, 32, 1, 11 }, + /* tcId: 12. shared secret has x-coordinate that satisfies x**2 + a = 2 */ + {683, 65, 32, 32, 352, 32, 1, 12 }, + /* tcId: 13. shared secret has x-coordinate that satisfies x**2 + a = 8 */ + {748, 65, 32, 32, 384, 32, 1, 13 }, + /* tcId: 14. shared secret has x-coordinate that satisfies x**2 = 2**96 + 2 */ + {813, 65, 32, 32, 416, 32, 1, 14 }, + /* tcId: 15. shared secret has x-coordinate with repeating bit-pattern of size 2 */ + {878, 65, 32, 32, 448, 32, 1, 15 }, + /* tcId: 16. shared secret has x-coordinate with repeating bit-pattern of size 2 */ + {943, 65, 32, 32, 480, 32, 1, 16 }, + /* tcId: 17. shared secret has x-coordinate with repeating bit-pattern of size 4 */ + {1008, 65, 32, 32, 512, 32, 1, 17 }, + /* tcId: 18. shared secret has x-coordinate with repeating bit-pattern of size 4 */ + {1073, 65, 32, 32, 544, 32, 1, 18 }, + /* tcId: 19. shared secret has x-coordinate with repeating bit-pattern of size 8 */ + {1138, 65, 32, 32, 576, 32, 1, 19 }, + /* tcId: 20. shared secret has x-coordinate with repeating bit-pattern of size 8 */ + {1203, 65, 32, 32, 608, 32, 1, 20 }, + /* tcId: 21. shared secret has x-coordinate with repeating bit-pattern of size 16 */ + {1268, 65, 32, 32, 640, 32, 1, 21 }, + /* tcId: 22. shared secret has x-coordinate with repeating bit-pattern of size 16 */ + {1333, 65, 32, 32, 672, 32, 1, 22 }, + /* tcId: 23. shared secret has x-coordinate with repeating bit-pattern of size 30 */ + {1398, 65, 32, 32, 704, 32, 1, 23 }, + /* tcId: 24. shared secret has x-coordinate with repeating bit-pattern of size 30 */ + {1463, 65, 32, 32, 736, 32, 1, 24 }, + /* tcId: 25. shared secret has x-coordinate with repeating bit-pattern of size 32 */ + {1528, 65, 32, 32, 768, 32, 1, 25 }, + /* tcId: 26. shared secret has x-coordinate with repeating bit-pattern of size 32 */ + {1593, 65, 32, 32, 800, 32, 1, 26 }, + /* tcId: 27. shared secret has x-coordinate with repeating bit-pattern of size 51 */ + {1658, 65, 32, 32, 832, 32, 1, 27 }, + /* tcId: 28. shared secret has x-coordinate with repeating bit-pattern of size 51 */ + {1723, 65, 32, 32, 864, 32, 1, 28 }, + /* tcId: 29. shared secret has x-coordinate with repeating bit-pattern of size 52 */ + {1788, 65, 32, 32, 896, 32, 1, 29 }, + /* tcId: 30. shared secret has x-coordinate with repeating bit-pattern of size 52 */ + {1853, 65, 32, 32, 928, 32, 1, 30 }, + /* tcId: 31. shared secret has x-coordinate with repeating bit-pattern of size 60 */ + {1918, 65, 32, 32, 960, 32, 1, 31 }, + /* tcId: 32. shared secret has x-coordinate with repeating bit-pattern of size 60 */ + {1983, 65, 32, 32, 992, 32, 1, 32 }, + /* tcId: 33. shared secret has x-coordinate with repeating bit-pattern of size 62 */ + {2048, 65, 32, 32, 1024, 32, 1, 33 }, + /* tcId: 34. shared secret has x-coordinate with repeating bit-pattern of size 62 */ + {2113, 65, 32, 32, 1056, 32, 1, 34 }, + /* tcId: 35. shared secret has x-coordinate with repeating bit-pattern of size 64 */ + {2178, 65, 32, 32, 1088, 32, 1, 35 }, + /* tcId: 36. shared secret has x-coordinate with repeating bit-pattern of size 64 */ + {2243, 65, 32, 32, 1120, 32, 1, 36 }, + /* tcId: 37. shared secret has x-coordinate with repeating bit-pattern of size 112 */ + {2308, 65, 32, 32, 1152, 32, 1, 37 }, + /* tcId: 38. shared secret has x-coordinate with repeating bit-pattern of size 112 */ + {2373, 65, 32, 32, 1184, 32, 1, 38 }, + /* tcId: 39. shared secret has x-coordinate with repeating bit-pattern of size 128 */ + {2438, 65, 32, 32, 1216, 32, 1, 39 }, + /* tcId: 40. shared secret has x-coordinate with repeating bit-pattern of size 128 */ + {2503, 65, 32, 32, 1248, 32, 1, 40 }, + /* tcId: 41. shared secret has an x-coordinate of approx p//3 */ + {2568, 65, 32, 32, 1280, 32, 1, 41 }, + /* tcId: 42. shared secret has an x-coordinate of approx p//5 */ + {2633, 65, 32, 32, 1312, 32, 1, 42 }, + /* tcId: 43. shared secret has an x-coordinate of approx p//7 */ + {2698, 65, 32, 32, 1344, 32, 1, 43 }, + /* tcId: 44. shared secret has an x-coordinate of approx p//9 */ + {2763, 65, 32, 32, 1376, 32, 1, 44 }, + /* tcId: 45. y-coordinate of the public key has many trailing 1's */ + {2828, 65, 32, 32, 1408, 32, 1, 45 }, + /* tcId: 46. y-coordinate of the public key has many trailing 1's */ + {2893, 65, 64, 32, 1440, 32, 1, 46 }, + /* tcId: 47. y-coordinate of the public key is small */ + {2958, 65, 32, 32, 1472, 32, 1, 47 }, + /* tcId: 48. y-coordinate of the public key is small */ + {3023, 65, 32, 32, 1504, 32, 1, 48 }, + /* tcId: 49. y-coordinate of the public key is small */ + {3088, 65, 64, 32, 1536, 32, 1, 49 }, + /* tcId: 50. y-coordinate of the public key is small */ + {3153, 65, 64, 32, 1568, 32, 1, 50 }, + /* tcId: 51. y-coordinate of the public key is large */ + {3218, 65, 32, 32, 1600, 32, 1, 51 }, + /* tcId: 52. y-coordinate of the public key is large */ + {3283, 65, 32, 32, 1632, 32, 1, 52 }, + /* tcId: 53. y-coordinate of the public key is large */ + {3348, 65, 64, 32, 1664, 32, 1, 53 }, + /* tcId: 54. y-coordinate of the public key is large */ + {3413, 65, 64, 32, 1696, 32, 1, 54 }, + /* tcId: 55. y-coordinate of the public key has many trailing 0's */ + {3478, 65, 32, 32, 1728, 32, 1, 55 }, + /* tcId: 56. y-coordinate of the public key has many trailing 0's */ + {3543, 65, 64, 32, 1760, 32, 1, 56 }, + /* tcId: 57. ephemeral key has x-coordinate that satisfies x**2 + a = 1 */ + {3608, 65, 64, 32, 1792, 32, 1, 57 }, + /* tcId: 58. ephemeral key has x-coordinate that satisfies x**2 + a = 4 */ + {3673, 65, 64, 32, 1824, 32, 1, 58 }, + /* tcId: 59. ephemeral key has x-coordinate that satisfies x**2 + a = 9 */ + {3738, 65, 64, 32, 1856, 32, 1, 59 }, + /* tcId: 60. ephemeral key has x-coordinate p-3 */ + {3803, 65, 64, 32, 1888, 32, 1, 60 }, + /* tcId: 61. ephemeral key has x-coordinate 2**16 + 0 */ + {3868, 65, 64, 32, 1920, 32, 1, 61 }, + /* tcId: 62. ephemeral key has x-coordinate 2**32 + 7 */ + {3933, 65, 64, 32, 1952, 32, 1, 62 }, + /* tcId: 63. ephemeral key has x-coordinate 2**64 + 1 */ + {3998, 65, 64, 32, 1984, 32, 1, 63 }, + /* tcId: 64. ephemeral key has x-coordinate 2**96 + 1 */ + {4063, 65, 64, 32, 2016, 32, 1, 64 }, + /* tcId: 65. ephemeral key has x-coordinate that satisfies x**2 + a = -6 */ + {4128, 65, 64, 32, 2048, 32, 1, 65 }, + /* tcId: 66. ephemeral key has x-coordinate that satisfies x**2 + a = 2 */ + {4193, 65, 64, 32, 2080, 32, 1, 66 }, + /* tcId: 67. ephemeral key has x-coordinate that satisfies x**2 + a = 8 */ + {4258, 65, 64, 32, 2112, 32, 1, 67 }, + /* tcId: 68. ephemeral key has x-coordinate that satisfies x**2 = 2**96 + 2 */ + {4323, 65, 64, 32, 2144, 32, 1, 68 }, + /* tcId: 69. ephemeral key has x-coordinate with repeating bit-pattern of size 2 */ + {4388, 65, 64, 32, 2176, 32, 1, 69 }, + /* tcId: 70. ephemeral key has x-coordinate with repeating bit-pattern of size 2 */ + {4453, 65, 64, 32, 2208, 32, 1, 70 }, + /* tcId: 71. ephemeral key has x-coordinate with repeating bit-pattern of size 4 */ + {4518, 65, 64, 32, 2240, 32, 1, 71 }, + /* tcId: 72. ephemeral key has x-coordinate with repeating bit-pattern of size 4 */ + {4583, 65, 64, 32, 2272, 32, 1, 72 }, + /* tcId: 73. ephemeral key has x-coordinate with repeating bit-pattern of size 8 */ + {4648, 65, 64, 32, 2304, 32, 1, 73 }, + /* tcId: 74. ephemeral key has x-coordinate with repeating bit-pattern of size 8 */ + {4713, 65, 64, 32, 2336, 32, 1, 74 }, + /* tcId: 75. ephemeral key has x-coordinate with repeating bit-pattern of size 16 */ + {4778, 65, 64, 32, 2368, 32, 1, 75 }, + /* tcId: 76. ephemeral key has x-coordinate with repeating bit-pattern of size 16 */ + {4843, 65, 64, 32, 2400, 32, 1, 76 }, + /* tcId: 77. ephemeral key has x-coordinate with repeating bit-pattern of size 30 */ + {4908, 65, 64, 32, 2432, 32, 1, 77 }, + /* tcId: 78. ephemeral key has x-coordinate with repeating bit-pattern of size 30 */ + {4973, 65, 64, 32, 2464, 32, 1, 78 }, + /* tcId: 79. ephemeral key has x-coordinate with repeating bit-pattern of size 32 */ + {5038, 65, 64, 32, 2496, 32, 1, 79 }, + /* tcId: 80. ephemeral key has x-coordinate with repeating bit-pattern of size 32 */ + {5103, 65, 64, 32, 2528, 32, 1, 80 }, + /* tcId: 81. ephemeral key has x-coordinate with repeating bit-pattern of size 51 */ + {5168, 65, 64, 32, 2560, 32, 1, 81 }, + /* tcId: 82. ephemeral key has x-coordinate with repeating bit-pattern of size 51 */ + {5233, 65, 64, 32, 2592, 32, 1, 82 }, + /* tcId: 83. ephemeral key has x-coordinate with repeating bit-pattern of size 52 */ + {5298, 65, 64, 32, 2624, 32, 1, 83 }, + /* tcId: 84. ephemeral key has x-coordinate with repeating bit-pattern of size 52 */ + {5363, 65, 64, 32, 2656, 32, 1, 84 }, + /* tcId: 85. ephemeral key has x-coordinate with repeating bit-pattern of size 60 */ + {5428, 65, 64, 32, 2688, 32, 1, 85 }, + /* tcId: 86. ephemeral key has x-coordinate with repeating bit-pattern of size 60 */ + {5493, 65, 64, 32, 2720, 32, 1, 86 }, + /* tcId: 87. ephemeral key has x-coordinate with repeating bit-pattern of size 62 */ + {5558, 65, 64, 32, 2752, 32, 1, 87 }, + /* tcId: 88. ephemeral key has x-coordinate with repeating bit-pattern of size 62 */ + {5623, 65, 64, 32, 2784, 32, 1, 88 }, + /* tcId: 89. ephemeral key has x-coordinate with repeating bit-pattern of size 64 */ + {5688, 65, 64, 32, 2816, 32, 1, 89 }, + /* tcId: 90. ephemeral key has x-coordinate with repeating bit-pattern of size 64 */ + {5753, 65, 64, 32, 2848, 32, 1, 90 }, + /* tcId: 91. ephemeral key has x-coordinate with repeating bit-pattern of size 112 */ + {5818, 65, 64, 32, 2880, 32, 1, 91 }, + /* tcId: 92. ephemeral key has x-coordinate with repeating bit-pattern of size 112 */ + {5883, 65, 64, 32, 2912, 32, 1, 92 }, + /* tcId: 93. ephemeral key has x-coordinate with repeating bit-pattern of size 128 */ + {5948, 65, 64, 32, 2944, 32, 1, 93 }, + /* tcId: 94. ephemeral key has x-coordinate with repeating bit-pattern of size 128 */ + {6013, 65, 64, 32, 2976, 32, 1, 94 }, + /* tcId: 95. ephemeral key has an x-coordinate of approx p//3 */ + {6078, 65, 64, 32, 3008, 32, 1, 95 }, + /* tcId: 96. ephemeral key has an x-coordinate of approx p//5 */ + {6143, 65, 64, 32, 3040, 32, 1, 96 }, + /* tcId: 97. ephemeral key has an x-coordinate of approx p//7 */ + {6208, 65, 64, 32, 3072, 32, 1, 97 }, + /* tcId: 98. ephemeral key has an x-coordinate of approx p//9 */ + {6273, 65, 64, 32, 3104, 32, 1, 98 }, + /* tcId: 99. edge case for Jacobian and projective coordinates */ + {6338, 65, 96, 32, 3136, 32, 1, 99 }, + /* tcId: 100. edge case for Jacobian and projective coordinates */ + {6403, 65, 96, 32, 3168, 32, 1, 100 }, + /* tcId: 101. edge case for Jacobian and projective coordinates */ + {6468, 65, 96, 32, 3200, 32, 1, 101 }, + /* tcId: 102. edge case for Jacobian and projective coordinates */ + {6533, 65, 128, 32, 3232, 32, 1, 102 }, + /* tcId: 103. edge case for Jacobian and projective coordinates */ + {6598, 65, 128, 32, 3264, 32, 1, 103 }, + /* tcId: 104. edge case for Jacobian and projective coordinates */ + {6663, 65, 128, 32, 3296, 32, 1, 104 }, + /* tcId: 105. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6728, 65, 96, 32, 3328, 32, 1, 105 }, + /* tcId: 106. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6793, 65, 96, 32, 3360, 32, 1, 106 }, + /* tcId: 107. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6858, 65, 96, 32, 3392, 32, 1, 107 }, + /* tcId: 108. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6923, 65, 96, 32, 3424, 32, 1, 108 }, + /* tcId: 109. edge case for Jacobian and projective coordinates in left to right addition chain */ + {6988, 65, 96, 32, 3456, 32, 1, 109 }, + /* tcId: 110. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7053, 65, 96, 32, 3488, 32, 1, 110 }, + /* tcId: 111. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7118, 65, 96, 32, 3520, 32, 1, 111 }, + /* tcId: 112. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7183, 65, 96, 32, 3552, 32, 1, 112 }, + /* tcId: 113. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7248, 65, 96, 32, 3584, 32, 1, 113 }, + /* tcId: 114. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7313, 65, 96, 32, 3616, 32, 1, 114 }, + /* tcId: 115. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7378, 65, 96, 32, 3648, 32, 1, 115 }, + /* tcId: 116. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7443, 65, 96, 32, 3680, 32, 1, 116 }, + /* tcId: 117. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7508, 65, 96, 32, 3712, 32, 1, 117 }, + /* tcId: 118. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7573, 65, 96, 32, 3744, 32, 1, 118 }, + /* tcId: 119. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7638, 65, 96, 32, 3776, 32, 1, 119 }, + /* tcId: 120. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7703, 65, 96, 32, 3808, 32, 1, 120 }, + /* tcId: 121. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7768, 65, 128, 32, 3840, 32, 1, 121 }, + /* tcId: 122. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7833, 65, 128, 32, 3872, 32, 1, 122 }, + /* tcId: 123. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7898, 65, 128, 32, 3904, 32, 1, 123 }, + /* tcId: 124. edge case for Jacobian and projective coordinates in left to right addition chain */ + {7963, 65, 128, 32, 3936, 32, 1, 124 }, + /* tcId: 125. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8028, 65, 128, 32, 3968, 32, 1, 125 }, + /* tcId: 126. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8093, 65, 128, 32, 4000, 32, 1, 126 }, + /* tcId: 127. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8158, 65, 128, 32, 4032, 32, 1, 127 }, + /* tcId: 128. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8223, 65, 128, 32, 4064, 32, 1, 128 }, + /* tcId: 129. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8288, 65, 128, 32, 4096, 32, 1, 129 }, + /* tcId: 130. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8353, 65, 128, 32, 4128, 32, 1, 130 }, + /* tcId: 131. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8418, 65, 128, 32, 4160, 32, 1, 131 }, + /* tcId: 132. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8483, 65, 128, 32, 4192, 32, 1, 132 }, + /* tcId: 133. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8548, 65, 128, 32, 4224, 32, 1, 133 }, + /* tcId: 134. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8613, 65, 128, 32, 4256, 32, 1, 134 }, + /* tcId: 135. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8678, 65, 128, 32, 4288, 32, 1, 135 }, + /* tcId: 136. edge case for Jacobian and projective coordinates in left to right addition chain */ + {8743, 65, 128, 32, 4320, 32, 1, 136 }, + /* tcId: 137. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8808, 65, 128, 32, 4352, 32, 1, 137 }, + /* tcId: 138. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8873, 65, 128, 32, 4384, 32, 1, 138 }, + /* tcId: 139. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {8938, 65, 128, 32, 4416, 32, 1, 139 }, + /* tcId: 140. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9003, 65, 128, 32, 4448, 32, 1, 140 }, + /* tcId: 141. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9068, 65, 128, 32, 4480, 32, 1, 141 }, + /* tcId: 142. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9133, 65, 128, 32, 4512, 32, 1, 142 }, + /* tcId: 143. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9198, 65, 128, 32, 4544, 32, 1, 143 }, + /* tcId: 144. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9263, 65, 128, 32, 4576, 32, 1, 144 }, + /* tcId: 145. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9328, 65, 128, 32, 4608, 32, 1, 145 }, + /* tcId: 146. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9393, 65, 128, 32, 4640, 32, 1, 146 }, + /* tcId: 147. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9458, 65, 128, 32, 4672, 32, 1, 147 }, + /* tcId: 148. edge case for Jacobian and projective coordinates in precomputation or right to left addition chain */ + {9523, 65, 128, 32, 4704, 32, 1, 148 }, + /* tcId: 149. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9588, 65, 128, 32, 4736, 32, 1, 149 }, + /* tcId: 150. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9653, 65, 128, 32, 4768, 32, 1, 150 }, + /* tcId: 151. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9718, 65, 128, 32, 4800, 32, 1, 151 }, + /* tcId: 152. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9783, 65, 128, 32, 4832, 32, 1, 152 }, + /* tcId: 153. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9848, 65, 128, 32, 4864, 32, 1, 153 }, + /* tcId: 154. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9913, 65, 128, 32, 4896, 32, 1, 154 }, + /* tcId: 155. edge case for Jacobian and projective coordinates in right to left addition chain */ + {9978, 65, 128, 32, 4928, 32, 1, 155 }, + /* tcId: 156. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10043, 65, 128, 32, 4960, 32, 1, 156 }, + /* tcId: 157. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10108, 65, 128, 32, 4992, 32, 1, 157 }, + /* tcId: 158. edge case for Jacobian and projective coordinates in right to left addition chain */ + {10173, 65, 128, 32, 5024, 32, 1, 158 }, + /* tcId: 159. edge case for computation of x with projective coordinates */ + {10238, 65, 128, 32, 5056, 32, 1, 159 }, + /* tcId: 160. edge case for computation of x with projective coordinates */ + {10303, 65, 128, 32, 5088, 32, 1, 160 }, + /* tcId: 161. edge case for computation of x with projective coordinates */ + {10368, 65, 128, 32, 5120, 32, 1, 161 }, + /* tcId: 162. edge case for computation of x with projective coordinates */ + {10433, 65, 128, 32, 5152, 32, 1, 162 }, + /* tcId: 163. edge case for computation of x with projective coordinates */ + {10498, 65, 128, 32, 5184, 32, 1, 163 }, + /* tcId: 164. edge case for computation of x with projective coordinates */ + {10563, 65, 128, 32, 5216, 32, 1, 164 }, + /* tcId: 165. edge case for computation of x with projective coordinates */ + {10628, 65, 128, 32, 5248, 32, 1, 165 }, + /* tcId: 166. edge case for computation of x with projective coordinates */ + {10693, 65, 128, 32, 5280, 32, 1, 166 }, + /* tcId: 167. edge case for computation of x with projective coordinates */ + {10758, 65, 128, 32, 5312, 32, 1, 167 }, + /* tcId: 168. edge case for computation of x with projective coordinates in left to right addition chain */ + {10823, 65, 128, 32, 5344, 32, 1, 168 }, + /* tcId: 169. edge case for computation of x with projective coordinates in left to right addition chain */ + {10888, 65, 128, 32, 5376, 32, 1, 169 }, + /* tcId: 170. edge case for computation of x with projective coordinates in left to right addition chain */ + {10953, 65, 128, 32, 5408, 32, 1, 170 }, + /* tcId: 171. edge case for computation of x with projective coordinates in left to right addition chain */ + {11018, 65, 128, 32, 5440, 32, 1, 171 }, + /* tcId: 172. edge case for computation of x with projective coordinates in left to right addition chain */ + {11083, 65, 128, 32, 5472, 32, 1, 172 }, + /* tcId: 173. edge case for computation of x with projective coordinates in left to right addition chain */ + {11148, 65, 128, 32, 5504, 32, 1, 173 }, + /* tcId: 174. edge case for computation of x with projective coordinates in left to right addition chain */ + {11213, 65, 128, 32, 5536, 32, 1, 174 }, + /* tcId: 175. edge case for computation of x with projective coordinates in left to right addition chain */ + {11278, 65, 128, 32, 5568, 32, 1, 175 }, + /* tcId: 176. edge case for computation of x with projective coordinates in left to right addition chain */ + {11343, 65, 128, 32, 5600, 32, 1, 176 }, + /* tcId: 177. edge case for computation of x with projective coordinates in left to right addition chain */ + {11408, 65, 128, 32, 5632, 32, 1, 177 }, + /* tcId: 178. edge case for computation of x with projective coordinates in left to right addition chain */ + {11473, 65, 128, 32, 5664, 32, 1, 178 }, + /* tcId: 179. edge case for computation of x with projective coordinates in left to right addition chain */ + {11538, 65, 128, 32, 5696, 32, 1, 179 }, + /* tcId: 180. edge case for computation of x with projective coordinates in left to right addition chain */ + {11603, 65, 128, 32, 5728, 32, 1, 180 }, + /* tcId: 181. edge case for computation of x with projective coordinates in left to right addition chain */ + {11668, 65, 128, 32, 5760, 32, 1, 181 }, + /* tcId: 182. edge case for computation of x with projective coordinates in left to right addition chain */ + {11733, 65, 128, 32, 5792, 32, 1, 182 }, + /* tcId: 183. edge case for computation of x with projective coordinates in left to right addition chain */ + {11798, 65, 128, 32, 5824, 32, 1, 183 }, + /* tcId: 184. edge case for computation of x with projective coordinates in left to right addition chain */ + {11863, 65, 128, 32, 5856, 32, 1, 184 }, + /* tcId: 185. edge case for computation of x with projective coordinates in left to right addition chain */ + {11928, 65, 128, 32, 5888, 32, 1, 185 }, + /* tcId: 186. edge case for computation of x with projective coordinates in left to right addition chain */ + {11993, 65, 128, 32, 5920, 32, 1, 186 }, + /* tcId: 187. edge case for computation of x with projective coordinates in left to right addition chain */ + {12058, 65, 128, 32, 5952, 32, 1, 187 }, + /* tcId: 188. edge case for computation of x with projective coordinates in left to right addition chain */ + {12123, 65, 128, 32, 5984, 32, 1, 188 }, + /* tcId: 189. edge case for computation of x with projective coordinates in left to right addition chain */ + {12188, 65, 128, 32, 6016, 32, 1, 189 }, + /* tcId: 190. edge case for computation of x with projective coordinates in left to right addition chain */ + {12253, 65, 128, 32, 6048, 32, 1, 190 }, + /* tcId: 191. edge case for computation of x with projective coordinates in left to right addition chain */ + {12318, 65, 128, 32, 6080, 32, 1, 191 }, + /* tcId: 192. edge case for computation of x with projective coordinates in left to right addition chain */ + {12383, 65, 128, 32, 6112, 32, 1, 192 }, + /* tcId: 193. edge case for computation of x with projective coordinates in left to right addition chain */ + {12448, 65, 128, 32, 6144, 32, 1, 193 }, + /* tcId: 194. edge case for computation of x with projective coordinates in left to right addition chain */ + {12513, 65, 128, 32, 6176, 32, 1, 194 }, + /* tcId: 195. edge case for computation of x with projective coordinates in left to right addition chain */ + {12578, 65, 128, 32, 6208, 32, 1, 195 }, + /* tcId: 196. edge case for computation of x with projective coordinates in left to right addition chain */ + {12643, 65, 128, 32, 6240, 32, 1, 196 }, + /* tcId: 197. edge case for computation of x with projective coordinates in left to right addition chain */ + {12708, 65, 128, 32, 6272, 32, 1, 197 }, + /* tcId: 198. edge case for computation of x with projective coordinates in left to right addition chain */ + {12773, 65, 128, 32, 6304, 32, 1, 198 }, + /* tcId: 199. edge case for computation of x with projective coordinates in left to right addition chain */ + {12838, 65, 128, 32, 6336, 32, 1, 199 }, + /* tcId: 200. edge case for computation of x with projective coordinates in left to right addition chain */ + {12903, 65, 128, 32, 6368, 32, 1, 200 }, + /* tcId: 201. edge case for computation of x with projective coordinates in left to right addition chain */ + {12968, 65, 128, 32, 6400, 32, 1, 201 }, + /* tcId: 202. edge case for computation of x with projective coordinates in left to right addition chain */ + {13033, 65, 128, 32, 6432, 32, 1, 202 }, + /* tcId: 203. edge case for computation of x with projective coordinates in left to right addition chain */ + {13098, 65, 128, 32, 6464, 32, 1, 203 }, + /* tcId: 204. edge case for computation of x with projective coordinates in left to right addition chain */ + {13163, 65, 128, 32, 6496, 32, 1, 204 }, + /* tcId: 205. edge case for computation of x with projective coordinates in left to right addition chain */ + {13228, 65, 128, 32, 6528, 32, 1, 205 }, + /* tcId: 206. edge case for computation of x with projective coordinates in left to right addition chain */ + {13293, 65, 128, 32, 6560, 32, 1, 206 }, + /* tcId: 207. edge case for computation of x with projective coordinates in left to right addition chain */ + {13358, 65, 128, 32, 6592, 32, 1, 207 }, + /* tcId: 208. edge case for computation of x with projective coordinates in left to right addition chain */ + {13423, 65, 128, 32, 6624, 32, 1, 208 }, + /* tcId: 209. edge case for computation of x with projective coordinates in left to right addition chain */ + {13488, 65, 128, 32, 6656, 32, 1, 209 }, + /* tcId: 210. edge case for computation of x with projective coordinates in left to right addition chain */ + {13553, 65, 128, 32, 6688, 32, 1, 210 }, + /* tcId: 211. edge case for computation of x with projective coordinates in left to right addition chain */ + {13618, 65, 128, 32, 6720, 32, 1, 211 }, + /* tcId: 212. edge case for computation of x with projective coordinates in left to right addition chain */ + {13683, 65, 128, 32, 6752, 32, 1, 212 }, + /* tcId: 213. edge case for computation of x with projective coordinates in left to right addition chain */ + {13748, 65, 128, 32, 6784, 32, 1, 213 }, + /* tcId: 214. edge case for computation of x with projective coordinates in left to right addition chain */ + {13813, 65, 128, 32, 6816, 32, 1, 214 }, + /* tcId: 215. edge case for computation of x with projective coordinates in left to right addition chain */ + {13878, 65, 128, 32, 6848, 32, 1, 215 }, + /* tcId: 216. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {13943, 65, 128, 32, 6880, 32, 1, 216 }, + /* tcId: 217. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14008, 65, 128, 32, 6912, 32, 1, 217 }, + /* tcId: 218. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14073, 65, 128, 32, 6944, 32, 1, 218 }, + /* tcId: 219. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14138, 65, 128, 32, 6976, 32, 1, 219 }, + /* tcId: 220. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14203, 65, 128, 32, 7008, 32, 1, 220 }, + /* tcId: 221. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14268, 65, 128, 32, 7040, 32, 1, 221 }, + /* tcId: 222. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14333, 65, 128, 32, 7072, 32, 1, 222 }, + /* tcId: 223. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14398, 65, 128, 32, 7104, 32, 1, 223 }, + /* tcId: 224. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14463, 65, 128, 32, 7136, 32, 1, 224 }, + /* tcId: 225. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14528, 65, 128, 32, 7168, 32, 1, 225 }, + /* tcId: 226. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14593, 65, 128, 32, 7200, 32, 1, 226 }, + /* tcId: 227. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14658, 65, 128, 32, 7232, 32, 1, 227 }, + /* tcId: 228. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14723, 65, 128, 32, 7264, 32, 1, 228 }, + /* tcId: 229. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14788, 65, 128, 32, 7296, 32, 1, 229 }, + /* tcId: 230. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14853, 65, 128, 32, 7328, 32, 1, 230 }, + /* tcId: 231. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14918, 65, 128, 32, 7360, 32, 1, 231 }, + /* tcId: 232. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {14983, 65, 128, 32, 7392, 32, 1, 232 }, + /* tcId: 233. edge case for computation of x with projective coordinates in precomputation or right to left addition chain */ + {15048, 65, 128, 32, 7424, 32, 1, 233 }, + /* tcId: 234. edge case for computation of x with projective coordinates in right to left addition chain */ + {15113, 65, 128, 32, 7456, 32, 1, 234 }, + /* tcId: 235. edge case for computation of x with projective coordinates in right to left addition chain */ + {15178, 65, 128, 32, 7488, 32, 1, 235 }, + /* tcId: 236. edge case for computation of x with projective coordinates in right to left addition chain */ + {15243, 65, 128, 32, 7520, 32, 1, 236 }, + /* tcId: 237. edge case for computation of x with projective coordinates in right to left addition chain */ + {15308, 65, 128, 32, 7552, 32, 1, 237 }, + /* tcId: 238. edge case for computation of x with projective coordinates in right to left addition chain */ + {15373, 65, 128, 32, 7584, 32, 1, 238 }, + /* tcId: 239. edge case for computation of x with projective coordinates in right to left addition chain */ + {15438, 65, 128, 32, 7616, 32, 1, 239 }, + /* tcId: 240. edge case for computation of x with projective coordinates in right to left addition chain */ + {15503, 65, 128, 32, 7648, 32, 1, 240 }, + /* tcId: 241. edge case for computation of x with projective coordinates in right to left addition chain */ + {15568, 65, 128, 32, 7680, 32, 1, 241 }, + /* tcId: 242. edge case for computation of x with projective coordinates in right to left addition chain */ + {15633, 65, 128, 32, 7712, 32, 1, 242 }, + /* tcId: 243. edge case for computation of x with projective coordinates in right to left addition chain */ + {15698, 65, 128, 32, 7744, 32, 1, 243 }, + /* tcId: 244. edge case for computation of x with projective coordinates in right to left addition chain */ + {15763, 65, 128, 32, 7776, 32, 1, 244 }, + /* tcId: 245. edge case for computation of x with projective coordinates in right to left addition chain */ + {15828, 65, 128, 32, 7808, 32, 1, 245 }, + /* tcId: 246. edge case for computation of x with projective coordinates in right to left addition chain */ + {15893, 65, 128, 32, 7840, 32, 1, 246 }, + /* tcId: 247. edge case for computation of x with projective coordinates in right to left addition chain */ + {15958, 65, 128, 32, 7872, 32, 1, 247 }, + /* tcId: 248. edge case for computation of x with projective coordinates in right to left addition chain */ + {16023, 65, 128, 32, 7904, 32, 1, 248 }, + /* tcId: 249. edge case for computation of y with projective coordinates */ + {16088, 65, 128, 32, 7936, 32, 1, 249 }, + /* tcId: 250. edge case for computation of y with projective coordinates */ + {16153, 65, 128, 32, 7968, 32, 1, 250 }, + /* tcId: 251. edge case for computation of y with projective coordinates */ + {16218, 65, 128, 32, 8000, 32, 1, 251 }, + /* tcId: 252. edge case for computation of y with projective coordinates in left to right addition chain */ + {16283, 65, 128, 32, 8032, 32, 1, 252 }, + /* tcId: 253. edge case for computation of y with projective coordinates in left to right addition chain */ + {16348, 65, 128, 32, 8064, 32, 1, 253 }, + /* tcId: 254. edge case for computation of y with projective coordinates in left to right addition chain */ + {16413, 65, 128, 32, 8096, 32, 1, 254 }, + /* tcId: 255. edge case for computation of y with projective coordinates in left to right addition chain */ + {16478, 65, 128, 32, 8128, 32, 1, 255 }, + /* tcId: 256. edge case for computation of y with projective coordinates in left to right addition chain */ + {16543, 65, 128, 32, 8160, 32, 1, 256 }, + /* tcId: 257. edge case for computation of y with projective coordinates in left to right addition chain */ + {16608, 65, 128, 32, 8192, 32, 1, 257 }, + /* tcId: 258. edge case for computation of y with projective coordinates in left to right addition chain */ + {16673, 65, 128, 32, 8224, 32, 1, 258 }, + /* tcId: 259. edge case for computation of y with projective coordinates in left to right addition chain */ + {16738, 65, 128, 32, 8256, 32, 1, 259 }, + /* tcId: 260. edge case for computation of y with projective coordinates in left to right addition chain */ + {16803, 65, 128, 32, 8288, 32, 1, 260 }, + /* tcId: 261. edge case for computation of y with projective coordinates in left to right addition chain */ + {16868, 65, 128, 32, 8320, 32, 1, 261 }, + /* tcId: 262. edge case for computation of y with projective coordinates in left to right addition chain */ + {16933, 65, 128, 32, 8352, 32, 1, 262 }, + /* tcId: 263. edge case for computation of y with projective coordinates in left to right addition chain */ + {16998, 65, 128, 32, 8384, 32, 1, 263 }, + /* tcId: 264. edge case for computation of y with projective coordinates in left to right addition chain */ + {17063, 65, 128, 32, 8416, 32, 1, 264 }, + /* tcId: 265. edge case for computation of y with projective coordinates in left to right addition chain */ + {17128, 65, 128, 32, 8448, 32, 1, 265 }, + /* tcId: 266. edge case for computation of y with projective coordinates in left to right addition chain */ + {17193, 65, 128, 32, 8480, 32, 1, 266 }, + /* tcId: 267. edge case for computation of y with projective coordinates in left to right addition chain */ + {17258, 65, 128, 32, 8512, 32, 1, 267 }, + /* tcId: 268. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17323, 65, 128, 32, 8544, 32, 1, 268 }, + /* tcId: 269. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17388, 65, 128, 32, 8576, 32, 1, 269 }, + /* tcId: 270. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17453, 65, 128, 32, 8608, 32, 1, 270 }, + /* tcId: 271. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17518, 65, 128, 32, 8640, 32, 1, 271 }, + /* tcId: 272. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17583, 65, 128, 32, 8672, 32, 1, 272 }, + /* tcId: 273. edge case for computation of y with projective coordinates in precomputation or right to left addition chain */ + {17648, 65, 128, 32, 8704, 32, 1, 273 }, + /* tcId: 274. edge case for computation of y with projective coordinates in right to left addition chain */ + {17713, 65, 128, 32, 8736, 32, 1, 274 }, + /* tcId: 275. edge case for computation of y with projective coordinates in right to left addition chain */ + {17778, 65, 128, 32, 8768, 32, 1, 275 }, + /* tcId: 276. edge case for computation of y with projective coordinates in right to left addition chain */ + {17843, 65, 128, 32, 8800, 32, 1, 276 }, + /* tcId: 277. edge case for computation of y with projective coordinates in right to left addition chain */ + {17908, 65, 128, 32, 8832, 32, 1, 277 }, + /* tcId: 278. edge case for computation of y with projective coordinates in right to left addition chain */ + {17973, 65, 128, 32, 8864, 32, 1, 278 }, + /* tcId: 279. point with coordinate x = 1 */ + {3608, 65, 128, 32, 8896, 32, 1, 279 }, + /* tcId: 280. point with coordinate x = 1 */ + {18038, 65, 128, 32, 8928, 32, 1, 280 }, + /* tcId: 281. point with coordinate x = 1 */ + {18103, 65, 128, 32, 8960, 32, 1, 281 }, + /* tcId: 282. point with coordinate x = 1 in left to right addition chain */ + {18168, 65, 128, 32, 8992, 32, 1, 282 }, + /* tcId: 283. point with coordinate x = 1 in left to right addition chain */ + {18233, 65, 128, 32, 9024, 32, 1, 283 }, + /* tcId: 284. point with coordinate x = 1 in left to right addition chain */ + {18298, 65, 128, 32, 9056, 32, 1, 284 }, + /* tcId: 285. point with coordinate x = 1 in left to right addition chain */ + {18363, 65, 128, 32, 9088, 32, 1, 285 }, + /* tcId: 286. point with coordinate x = 1 in left to right addition chain */ + {18428, 65, 128, 32, 9120, 32, 1, 286 }, + /* tcId: 287. point with coordinate x = 1 in left to right addition chain */ + {18493, 65, 128, 32, 9152, 32, 1, 287 }, + /* tcId: 288. point with coordinate x = 1 in left to right addition chain */ + {18558, 65, 128, 32, 9184, 32, 1, 288 }, + /* tcId: 289. point with coordinate x = 1 in left to right addition chain */ + {18623, 65, 128, 32, 9216, 32, 1, 289 }, + /* tcId: 290. point with coordinate x = 1 in left to right addition chain */ + {18688, 65, 128, 32, 9248, 32, 1, 290 }, + /* tcId: 291. point with coordinate x = 1 in left to right addition chain */ + {18753, 65, 128, 32, 9280, 32, 1, 291 }, + /* tcId: 292. point with coordinate x = 1 in left to right addition chain */ + {18818, 65, 128, 32, 9312, 32, 1, 292 }, + /* tcId: 293. point with coordinate x = 1 in left to right addition chain */ + {18883, 65, 128, 32, 9344, 32, 1, 293 }, + /* tcId: 294. point with coordinate x = 1 in left to right addition chain */ + {18948, 65, 128, 32, 9376, 32, 1, 294 }, + /* tcId: 295. point with coordinate x = 1 in left to right addition chain */ + {19013, 65, 128, 32, 9408, 32, 1, 295 }, + /* tcId: 296. point with coordinate x = 1 in left to right addition chain */ + {19078, 65, 128, 32, 9440, 32, 1, 296 }, + /* tcId: 297. point with coordinate x = 1 in left to right addition chain */ + {19143, 65, 128, 32, 9472, 32, 1, 297 }, + /* tcId: 298. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19208, 65, 128, 32, 9504, 32, 1, 298 }, + /* tcId: 299. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19273, 65, 128, 32, 9536, 32, 1, 299 }, + /* tcId: 300. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19338, 65, 128, 32, 9568, 32, 1, 300 }, + /* tcId: 301. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19403, 65, 128, 32, 9600, 32, 1, 301 }, + /* tcId: 302. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19468, 65, 128, 32, 9632, 32, 1, 302 }, + /* tcId: 303. point with coordinate x = 1 in precomputation or right to left addition chain */ + {19533, 65, 128, 32, 9664, 32, 1, 303 }, + /* tcId: 304. point with coordinate x = 1 in right to left addition chain */ + {19598, 65, 128, 32, 9696, 32, 1, 304 }, + /* tcId: 305. point with coordinate x = 1 in right to left addition chain */ + {19663, 65, 128, 32, 9728, 32, 1, 305 }, + /* tcId: 306. point with coordinate x = 1 in right to left addition chain */ + {19728, 65, 128, 32, 9760, 32, 1, 306 }, + /* tcId: 307. point with coordinate x = 1 in right to left addition chain */ + {19793, 65, 128, 32, 9792, 32, 1, 307 }, + /* tcId: 308. point with coordinate x = 1 in right to left addition chain */ + {19858, 65, 128, 32, 9824, 32, 1, 308 }, + /* tcId: 309. point with coordinate x = 2 */ + {3673, 65, 128, 32, 9856, 32, 1, 309 }, + /* tcId: 310. point with coordinate x = 2 */ + {19923, 65, 128, 32, 9888, 32, 1, 310 }, + /* tcId: 311. point with coordinate x = 2 */ + {19988, 65, 128, 32, 9920, 32, 1, 311 }, + /* tcId: 312. point with coordinate x = 2 in left to right addition chain */ + {20053, 65, 128, 32, 9952, 32, 1, 312 }, + /* tcId: 313. point with coordinate x = 2 in left to right addition chain */ + {20118, 65, 128, 32, 9984, 32, 1, 313 }, + /* tcId: 314. point with coordinate x = 2 in left to right addition chain */ + {20183, 65, 128, 32, 10016, 32, 1, 314 }, + /* tcId: 315. point with coordinate x = 2 in left to right addition chain */ + {20248, 65, 128, 32, 10048, 32, 1, 315 }, + /* tcId: 316. point with coordinate x = 2 in left to right addition chain */ + {20313, 65, 128, 32, 10080, 32, 1, 316 }, + /* tcId: 317. point with coordinate x = 2 in left to right addition chain */ + {20378, 65, 128, 32, 10112, 32, 1, 317 }, + /* tcId: 318. point with coordinate x = 2 in left to right addition chain */ + {20443, 65, 128, 32, 10144, 32, 1, 318 }, + /* tcId: 319. point with coordinate x = 2 in left to right addition chain */ + {20508, 65, 128, 32, 10176, 32, 1, 319 }, + /* tcId: 320. point with coordinate x = 2 in left to right addition chain */ + {20573, 65, 128, 32, 10208, 32, 1, 320 }, + /* tcId: 321. point with coordinate x = 2 in left to right addition chain */ + {20638, 65, 128, 32, 10240, 32, 1, 321 }, + /* tcId: 322. point with coordinate x = 2 in left to right addition chain */ + {20703, 65, 128, 32, 10272, 32, 1, 322 }, + /* tcId: 323. point with coordinate x = 2 in left to right addition chain */ + {20768, 65, 128, 32, 10304, 32, 1, 323 }, + /* tcId: 324. point with coordinate x = 2 in left to right addition chain */ + {20833, 65, 128, 32, 10336, 32, 1, 324 }, + /* tcId: 325. point with coordinate x = 2 in left to right addition chain */ + {20898, 65, 128, 32, 10368, 32, 1, 325 }, + /* tcId: 326. point with coordinate x = 2 in left to right addition chain */ + {20963, 65, 128, 32, 10400, 32, 1, 326 }, + /* tcId: 327. point with coordinate x = 2 in left to right addition chain */ + {21028, 65, 128, 32, 10432, 32, 1, 327 }, + /* tcId: 328. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21093, 65, 128, 32, 10464, 32, 1, 328 }, + /* tcId: 329. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21158, 65, 128, 32, 10496, 32, 1, 329 }, + /* tcId: 330. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21223, 65, 128, 32, 10528, 32, 1, 330 }, + /* tcId: 331. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21288, 65, 128, 32, 10560, 32, 1, 331 }, + /* tcId: 332. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21353, 65, 128, 32, 10592, 32, 1, 332 }, + /* tcId: 333. point with coordinate x = 2 in precomputation or right to left addition chain */ + {21418, 65, 128, 32, 10624, 32, 1, 333 }, + /* tcId: 334. point with coordinate x = 2 in right to left addition chain */ + {21483, 65, 128, 32, 10656, 32, 1, 334 }, + /* tcId: 335. point with coordinate x = 2 in right to left addition chain */ + {21548, 65, 128, 32, 10688, 32, 1, 335 }, + /* tcId: 336. point with coordinate x = 2 in right to left addition chain */ + {21613, 65, 128, 32, 10720, 32, 1, 336 }, + /* tcId: 337. point with coordinate x = 2 in right to left addition chain */ + {21678, 65, 128, 32, 10752, 32, 1, 337 }, + /* tcId: 338. point with coordinate x = 2 in right to left addition chain */ + {21743, 65, 128, 32, 10784, 32, 1, 338 }, + /* tcId: 339. point with coordinate x = 3 */ + {3738, 65, 128, 32, 10816, 32, 1, 339 }, + /* tcId: 340. point with coordinate x = 3 */ + {21808, 65, 128, 32, 10848, 32, 1, 340 }, + /* tcId: 341. point with coordinate x = 3 */ + {21873, 65, 128, 32, 10880, 32, 1, 341 }, + /* tcId: 342. point with coordinate x = 3 in left to right addition chain */ + {21938, 65, 128, 32, 10912, 32, 1, 342 }, + /* tcId: 343. point with coordinate x = 3 in left to right addition chain */ + {22003, 65, 128, 32, 10944, 32, 1, 343 }, + /* tcId: 344. point with coordinate x = 3 in left to right addition chain */ + {22068, 65, 128, 32, 10976, 32, 1, 344 }, + /* tcId: 345. point with coordinate x = 3 in left to right addition chain */ + {22133, 65, 128, 32, 11008, 32, 1, 345 }, + /* tcId: 346. point with coordinate x = 3 in left to right addition chain */ + {22198, 65, 128, 32, 11040, 32, 1, 346 }, + /* tcId: 347. point with coordinate x = 3 in left to right addition chain */ + {22263, 65, 128, 32, 11072, 32, 1, 347 }, + /* tcId: 348. point with coordinate x = 3 in left to right addition chain */ + {22328, 65, 128, 32, 11104, 32, 1, 348 }, + /* tcId: 349. point with coordinate x = 3 in left to right addition chain */ + {22393, 65, 128, 32, 11136, 32, 1, 349 }, + /* tcId: 350. point with coordinate x = 3 in left to right addition chain */ + {22458, 65, 128, 32, 11168, 32, 1, 350 }, + /* tcId: 351. point with coordinate x = 3 in left to right addition chain */ + {22523, 65, 128, 32, 11200, 32, 1, 351 }, + /* tcId: 352. point with coordinate x = 3 in left to right addition chain */ + {22588, 65, 128, 32, 11232, 32, 1, 352 }, + /* tcId: 353. point with coordinate x = 3 in left to right addition chain */ + {22653, 65, 128, 32, 11264, 32, 1, 353 }, + /* tcId: 354. point with coordinate x = 3 in left to right addition chain */ + {22718, 65, 128, 32, 11296, 32, 1, 354 }, + /* tcId: 355. point with coordinate x = 3 in left to right addition chain */ + {22783, 65, 128, 32, 11328, 32, 1, 355 }, + /* tcId: 356. point with coordinate x = 3 in left to right addition chain */ + {22848, 65, 128, 32, 11360, 32, 1, 356 }, + /* tcId: 357. point with coordinate x = 3 in left to right addition chain */ + {22913, 65, 128, 32, 11392, 32, 1, 357 }, + /* tcId: 358. point with coordinate x = 3 in precomputation or right to left addition chain */ + {22978, 65, 128, 32, 11424, 32, 1, 358 }, + /* tcId: 359. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23043, 65, 128, 32, 11456, 32, 1, 359 }, + /* tcId: 360. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23108, 65, 128, 32, 11488, 32, 1, 360 }, + /* tcId: 361. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23173, 65, 128, 32, 11520, 32, 1, 361 }, + /* tcId: 362. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23238, 65, 128, 32, 11552, 32, 1, 362 }, + /* tcId: 363. point with coordinate x = 3 in precomputation or right to left addition chain */ + {23303, 65, 128, 32, 11584, 32, 1, 363 }, + /* tcId: 364. point with coordinate x = 3 in right to left addition chain */ + {23368, 65, 128, 32, 11616, 32, 1, 364 }, + /* tcId: 365. point with coordinate x = 3 in right to left addition chain */ + {23433, 65, 128, 32, 11648, 32, 1, 365 }, + /* tcId: 366. point with coordinate x = 3 in right to left addition chain */ + {23498, 65, 128, 32, 11680, 32, 1, 366 }, + /* tcId: 367. point with coordinate x = 3 in right to left addition chain */ + {23563, 65, 128, 32, 11712, 32, 1, 367 }, + /* tcId: 368. point with coordinate x = 3 in right to left addition chain */ + {23628, 65, 128, 32, 11744, 32, 1, 368 }, + /* tcId: 369. point with coordinate y = 1 */ + {23693, 65, 128, 32, 11776, 32, 1, 369 }, + /* tcId: 370. point with coordinate y = 1 */ + {23758, 65, 128, 32, 11808, 32, 1, 370 }, + /* tcId: 371. point with coordinate y = 1 */ + {23823, 65, 128, 32, 11840, 32, 1, 371 }, + /* tcId: 372. point with coordinate y = 1 */ + {23888, 65, 128, 32, 11872, 32, 1, 372 }, + /* tcId: 373. point with coordinate y = 1 */ + {23953, 65, 128, 32, 11904, 32, 1, 373 }, + /* tcId: 374. point with coordinate y = 1 */ + {24018, 65, 128, 32, 11936, 32, 1, 374 }, + /* tcId: 375. point with coordinate y = 1 */ + {24083, 65, 128, 32, 11968, 32, 1, 375 }, + /* tcId: 376. point with coordinate y = 1 */ + {24148, 65, 128, 32, 12000, 32, 1, 376 }, + /* tcId: 377. point with coordinate y = 1 */ + {24213, 65, 128, 32, 12032, 32, 1, 377 }, + /* tcId: 378. point with coordinate y = 1 in left to right addition chain */ + {24278, 65, 128, 32, 12064, 32, 1, 378 }, + /* tcId: 379. point with coordinate y = 1 in left to right addition chain */ + {24343, 65, 128, 32, 12096, 32, 1, 379 }, + /* tcId: 380. point with coordinate y = 1 in left to right addition chain */ + {24408, 65, 128, 32, 12128, 32, 1, 380 }, + /* tcId: 381. point with coordinate y = 1 in left to right addition chain */ + {24473, 65, 128, 32, 12160, 32, 1, 381 }, + /* tcId: 382. point with coordinate y = 1 in left to right addition chain */ + {24538, 65, 128, 32, 12192, 32, 1, 382 }, + /* tcId: 383. point with coordinate y = 1 in left to right addition chain */ + {24603, 65, 128, 32, 12224, 32, 1, 383 }, + /* tcId: 384. point with coordinate y = 1 in left to right addition chain */ + {24668, 65, 128, 32, 12256, 32, 1, 384 }, + /* tcId: 385. point with coordinate y = 1 in left to right addition chain */ + {24733, 65, 128, 32, 12288, 32, 1, 385 }, + /* tcId: 386. point with coordinate y = 1 in left to right addition chain */ + {24798, 65, 128, 32, 12320, 32, 1, 386 }, + /* tcId: 387. point with coordinate y = 1 in left to right addition chain */ + {24863, 65, 128, 32, 12352, 32, 1, 387 }, + /* tcId: 388. point with coordinate y = 1 in left to right addition chain */ + {24928, 65, 128, 32, 12384, 32, 1, 388 }, + /* tcId: 389. point with coordinate y = 1 in left to right addition chain */ + {24993, 65, 128, 32, 12416, 32, 1, 389 }, + /* tcId: 390. point with coordinate y = 1 in left to right addition chain */ + {25058, 65, 128, 32, 12448, 32, 1, 390 }, + /* tcId: 391. point with coordinate y = 1 in left to right addition chain */ + {25123, 65, 128, 32, 12480, 32, 1, 391 }, + /* tcId: 392. point with coordinate y = 1 in left to right addition chain */ + {25188, 65, 128, 32, 12512, 32, 1, 392 }, + /* tcId: 393. point with coordinate y = 1 in left to right addition chain */ + {25253, 65, 128, 32, 12544, 32, 1, 393 }, + /* tcId: 394. point with coordinate y = 1 in left to right addition chain */ + {25318, 65, 128, 32, 12576, 32, 1, 394 }, + /* tcId: 395. point with coordinate y = 1 in left to right addition chain */ + {25383, 65, 128, 32, 12608, 32, 1, 395 }, + /* tcId: 396. point with coordinate y = 1 in left to right addition chain */ + {25448, 65, 128, 32, 12640, 32, 1, 396 }, + /* tcId: 397. point with coordinate y = 1 in left to right addition chain */ + {25513, 65, 128, 32, 12672, 32, 1, 397 }, + /* tcId: 398. point with coordinate y = 1 in left to right addition chain */ + {25578, 65, 128, 32, 12704, 32, 1, 398 }, + /* tcId: 399. point with coordinate y = 1 in left to right addition chain */ + {25643, 65, 128, 32, 12736, 32, 1, 399 }, + /* tcId: 400. point with coordinate y = 1 in left to right addition chain */ + {25708, 65, 128, 32, 12768, 32, 1, 400 }, + /* tcId: 401. point with coordinate y = 1 in left to right addition chain */ + {25773, 65, 128, 32, 12800, 32, 1, 401 }, + /* tcId: 402. point with coordinate y = 1 in left to right addition chain */ + {25838, 65, 128, 32, 12832, 32, 1, 402 }, + /* tcId: 403. point with coordinate y = 1 in left to right addition chain */ + {25903, 65, 128, 32, 12864, 32, 1, 403 }, + /* tcId: 404. point with coordinate y = 1 in left to right addition chain */ + {25968, 65, 128, 32, 12896, 32, 1, 404 }, + /* tcId: 405. point with coordinate y = 1 in left to right addition chain */ + {26033, 65, 128, 32, 12928, 32, 1, 405 }, + /* tcId: 406. point with coordinate y = 1 in left to right addition chain */ + {26098, 65, 128, 32, 12960, 32, 1, 406 }, + /* tcId: 407. point with coordinate y = 1 in left to right addition chain */ + {26163, 65, 128, 32, 12992, 32, 1, 407 }, + /* tcId: 408. point with coordinate y = 1 in left to right addition chain */ + {26228, 65, 128, 32, 13024, 32, 1, 408 }, + /* tcId: 409. point with coordinate y = 1 in left to right addition chain */ + {26293, 65, 128, 32, 13056, 32, 1, 409 }, + /* tcId: 410. point with coordinate y = 1 in left to right addition chain */ + {26358, 65, 128, 32, 13088, 32, 1, 410 }, + /* tcId: 411. point with coordinate y = 1 in left to right addition chain */ + {26423, 65, 128, 32, 13120, 32, 1, 411 }, + /* tcId: 412. point with coordinate y = 1 in left to right addition chain */ + {26488, 65, 128, 32, 13152, 32, 1, 412 }, + /* tcId: 413. point with coordinate y = 1 in left to right addition chain */ + {26553, 65, 128, 32, 13184, 32, 1, 413 }, + /* tcId: 414. point with coordinate y = 1 in left to right addition chain */ + {26618, 65, 128, 32, 13216, 32, 1, 414 }, + /* tcId: 415. point with coordinate y = 1 in left to right addition chain */ + {26683, 65, 128, 32, 13248, 32, 1, 415 }, + /* tcId: 416. point with coordinate y = 1 in left to right addition chain */ + {26748, 65, 128, 32, 13280, 32, 1, 416 }, + /* tcId: 417. point with coordinate y = 1 in left to right addition chain */ + {26813, 65, 128, 32, 13312, 32, 1, 417 }, + /* tcId: 418. point with coordinate y = 1 in left to right addition chain */ + {26878, 65, 128, 32, 13344, 32, 1, 418 }, + /* tcId: 419. point with coordinate y = 1 in left to right addition chain */ + {26943, 65, 128, 32, 13376, 32, 1, 419 }, + /* tcId: 420. point with coordinate y = 1 in left to right addition chain */ + {27008, 65, 128, 32, 13408, 32, 1, 420 }, + /* tcId: 421. point with coordinate y = 1 in left to right addition chain */ + {27073, 65, 128, 32, 13440, 32, 1, 421 }, + /* tcId: 422. point with coordinate y = 1 in left to right addition chain */ + {27138, 65, 128, 32, 13472, 32, 1, 422 }, + /* tcId: 423. point with coordinate y = 1 in left to right addition chain */ + {27203, 65, 128, 32, 13504, 32, 1, 423 }, + /* tcId: 424. point with coordinate y = 1 in left to right addition chain */ + {27268, 65, 128, 32, 13536, 32, 1, 424 }, + /* tcId: 425. point with coordinate y = 1 in left to right addition chain */ + {27333, 65, 128, 32, 13568, 32, 1, 425 }, + /* tcId: 426. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27398, 65, 128, 32, 13600, 32, 1, 426 }, + /* tcId: 427. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27463, 65, 128, 32, 13632, 32, 1, 427 }, + /* tcId: 428. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27528, 65, 128, 32, 13664, 32, 1, 428 }, + /* tcId: 429. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27593, 65, 128, 32, 13696, 32, 1, 429 }, + /* tcId: 430. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27658, 65, 128, 32, 13728, 32, 1, 430 }, + /* tcId: 431. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27723, 65, 128, 32, 13760, 32, 1, 431 }, + /* tcId: 432. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27788, 65, 128, 32, 13792, 32, 1, 432 }, + /* tcId: 433. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27853, 65, 128, 32, 13824, 32, 1, 433 }, + /* tcId: 434. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27918, 65, 128, 32, 13856, 32, 1, 434 }, + /* tcId: 435. point with coordinate y = 1 in precomputation or right to left addition chain */ + {27983, 65, 128, 32, 13888, 32, 1, 435 }, + /* tcId: 436. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28048, 65, 128, 32, 13920, 32, 1, 436 }, + /* tcId: 437. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28113, 65, 128, 32, 13952, 32, 1, 437 }, + /* tcId: 438. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28178, 65, 128, 32, 13984, 32, 1, 438 }, + /* tcId: 439. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28243, 65, 128, 32, 14016, 32, 1, 439 }, + /* tcId: 440. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28308, 65, 128, 32, 14048, 32, 1, 440 }, + /* tcId: 441. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28373, 65, 128, 32, 14080, 32, 1, 441 }, + /* tcId: 442. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28438, 65, 128, 32, 14112, 32, 1, 442 }, + /* tcId: 443. point with coordinate y = 1 in precomputation or right to left addition chain */ + {28503, 65, 128, 32, 14144, 32, 1, 443 }, + /* tcId: 444. point with coordinate y = 1 in right to left addition chain */ + {28568, 65, 128, 32, 14176, 32, 1, 444 }, + /* tcId: 445. point with coordinate y = 1 in right to left addition chain */ + {28633, 65, 128, 32, 14208, 32, 1, 445 }, + /* tcId: 446. point with coordinate y = 1 in right to left addition chain */ + {28698, 65, 128, 32, 14240, 32, 1, 446 }, + /* tcId: 447. point with coordinate y = 1 in right to left addition chain */ + {28763, 65, 128, 32, 14272, 32, 1, 447 }, + /* tcId: 448. point with coordinate y = 1 in right to left addition chain */ + {28828, 65, 128, 32, 14304, 32, 1, 448 }, + /* tcId: 449. point with coordinate y = 1 in right to left addition chain */ + {28893, 65, 128, 32, 14336, 32, 1, 449 }, + /* tcId: 450. point with coordinate y = 1 in right to left addition chain */ + {28958, 65, 128, 32, 14368, 32, 1, 450 }, + /* tcId: 451. point with coordinate y = 1 in right to left addition chain */ + {29023, 65, 128, 32, 14400, 32, 1, 451 }, + /* tcId: 452. point with coordinate y = 1 in right to left addition chain */ + {29088, 65, 128, 32, 14432, 32, 1, 452 }, + /* tcId: 453. point with coordinate y = 1 in right to left addition chain */ + {29153, 65, 128, 32, 14464, 32, 1, 453 }, + /* tcId: 454. point with coordinate y = 1 in right to left addition chain */ + {29218, 65, 128, 32, 14496, 32, 1, 454 }, + /* tcId: 455. point with coordinate y = 1 in right to left addition chain */ + {29283, 65, 128, 32, 14528, 32, 1, 455 }, + /* tcId: 456. point with coordinate y = 1 in right to left addition chain */ + {29348, 65, 128, 32, 14560, 32, 1, 456 }, + /* tcId: 457. point with coordinate y = 1 in right to left addition chain */ + {29413, 65, 128, 32, 14592, 32, 1, 457 }, + /* tcId: 458. point with coordinate y = 1 in right to left addition chain */ + {29478, 65, 128, 32, 14624, 32, 1, 458 }, + /* tcId: 459. edge case private key */ + {29543, 65, 160, 32, 14656, 32, 1, 459 }, + /* tcId: 460. edge case private key */ + {29543, 65, 192, 32, 14688, 32, 1, 460 }, + /* tcId: 461. edge case private key */ + {29543, 65, 224, 32, 14720, 32, 1, 461 }, + /* tcId: 462. edge case private key */ + {29543, 65, 256, 32, 14752, 32, 1, 462 }, + /* tcId: 463. edge case private key */ + {29543, 65, 288, 32, 14784, 32, 1, 463 }, + /* tcId: 464. edge case private key */ + {29543, 65, 320, 32, 14816, 32, 1, 464 }, + /* tcId: 465. edge case private key */ + {29543, 65, 352, 32, 14848, 32, 1, 465 }, + /* tcId: 466. edge case private key */ + {29543, 65, 384, 32, 14880, 32, 1, 466 }, + /* tcId: 467. edge case private key */ + {29543, 65, 416, 32, 14912, 32, 1, 467 }, + /* tcId: 468. edge case private key */ + {29543, 65, 448, 32, 14944, 32, 1, 468 }, + /* tcId: 469. edge case private key */ + {29543, 65, 480, 32, 14976, 32, 1, 469 }, + /* tcId: 470. edge case private key */ + {29543, 65, 512, 32, 15008, 32, 1, 470 }, + /* tcId: 471. edge case private key */ + {29543, 65, 544, 32, 15040, 32, 1, 471 }, + /* tcId: 472. edge case private key */ + {29543, 65, 576, 32, 15072, 32, 1, 472 }, + /* tcId: 473. edge case private key */ + {29543, 65, 608, 32, 15104, 32, 1, 473 }, + /* tcId: 474. edge case private key */ + {29543, 65, 640, 32, 15136, 32, 1, 474 }, + /* tcId: 475. point is not on curve */ + {29608, 65, 672, 32, 15168, 0, 0, 475 }, + /* tcId: 476. point is not on curve */ + {29673, 65, 672, 32, 15168, 0, 0, 476 }, + /* tcId: 477. point is not on curve */ + {29738, 65, 672, 32, 15168, 0, 0, 477 }, + /* tcId: 478. point is not on curve */ + {29803, 65, 672, 32, 15168, 0, 0, 478 }, + /* tcId: 479. point is not on curve */ + {29868, 65, 672, 32, 15168, 0, 0, 479 }, + /* tcId: 480. point is not on curve */ + {29933, 65, 672, 32, 15168, 0, 0, 480 }, + /* tcId: 481. point is not on curve */ + {29998, 65, 672, 32, 15168, 0, 0, 481 }, + /* tcId: 482. point is not on curve */ + {30063, 65, 672, 32, 15168, 0, 0, 482 }, + /* tcId: 483. point is not on curve */ + {30128, 65, 672, 32, 15168, 0, 0, 483 }, + /* tcId: 484. point is not on curve */ + {30193, 65, 672, 32, 15168, 0, 0, 484 }, + /* tcId: 485. point is not on curve */ + {30258, 65, 672, 32, 15168, 0, 0, 485 }, + /* tcId: 486. point is not on curve */ + {30323, 65, 672, 32, 15168, 0, 0, 486 }, + /* tcId: 487. point is not on curve */ + {30388, 65, 672, 32, 15168, 0, 0, 487 }, + /* tcId: 488. point is not on curve */ + {30453, 65, 672, 32, 15168, 0, 0, 488 }, + /* tcId: 489. point is not on curve */ + {30518, 65, 672, 32, 15168, 0, 0, 489 }, + /* tcId: 490. point is not on curve */ + {30583, 65, 672, 32, 15168, 0, 0, 490 }, + /* tcId: 491. */ + {30648, 0, 672, 32, 15168, 0, 0, 491 }, + /* tcId: 494. public point not on curve */ + {30648, 65, 704, 32, 15168, 0, 0, 494 }, + /* tcId: 495. public point = (0,0) */ + {29608, 65, 704, 32, 15168, 0, 0, 495 }, + /* tcId: 498. order = 1 */ + {30713, 65, 704, 32, 15168, 32, 1, 498 }, + /* tcId: 499. order = 26959946667150639794667015087019630673536463705607434823784316690060 */ + {30713, 65, 704, 32, 15200, 32, 1, 499 }, + /* tcId: 500. generator = (0,0) */ + {30713, 65, 704, 32, 15232, 32, 1, 500 }, + /* tcId: 501. generator not on curve */ + {30713, 65, 704, 32, 15264, 32, 1, 501 }, + /* tcId: 506. cofactor = None */ + {30713, 65, 704, 32, 15296, 32, 1, 506 }, + /* tcId: 508. using secp224r1 */ + {30778, 57, 704, 32, 15328, 0, 0, 508 }, + /* tcId: 509. using secp256r1 */ + {30835, 65, 704, 32, 15328, 0, 0, 509 }, + /* tcId: 510. a = 0 */ + {30713, 65, 704, 32, 15328, 32, 1, 510 }, + /* tcId: 511. public key of order 3 */ + {30900, 65, 704, 32, 15360, 0, 0, 511 }, + /* tcId: 528. invalid public key */ + {30965, 33, 736, 32, 15360, 0, 0, 528 }, + +}; diff --git a/src/wycheproof/ecdh_secp256k1_test.json b/src/wycheproof/ecdh_secp256k1_test.json new file mode 100644 index 000000000..71da94723 --- /dev/null +++ b/src/wycheproof/ecdh_secp256k1_test.json @@ -0,0 +1,8444 @@ +{ + "algorithm" : "ECDH", + "schema" : "ecdh_test_schema.json", + "numberOfTests" : 752, + "header" : [ + "Test vectors of type EcdhTest are intended for", + "testing an ECDH implementations using X509 encoded", + "public keys and integers for private keys.", + "Test vectors of this format are useful for testing", + "Java providers." + ], + "notes" : { + "AdditionChain" : { + "bugType" : "KNOWN_BUG", + "description" : "The private key has an unusual bit pattern, such as high or low Hamming weight. The goal is to test edge cases for addition chain implementations." + }, + "CompressedPoint" : { + "bugType" : "UNKNOWN", + "description" : "The point in the public key is compressed. Not every library supports points in compressed format." + }, + "CompressedPublic" : { + "bugType" : "FUNCTIONALITY", + "description" : "The public key in the test vector is compressed. Some implementations do not support compressed points." + }, + "EdgeCaseDoubling" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an EC point that hits an edge case (e.g. a coordinate 0) when doubled. The goal of the test vector is to check for arithmetic errors in these test cases.", + "effect" : "The effect of such arithmetic errors is unclear and requires further analysis." + }, + "EdgeCaseEphemeralKey" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains an ephemeral public key that is an edge case." + }, + "EdgeCaseSharedSecret" : { + "bugType" : "EDGE_CASE", + "description" : "The test vector contains a public key and private key such that the shared ECDH secret is a special case. The goal of this test vector is to detect arithmetic errors.", + "effect" : "The seriousness of an arithmetic error is unclear. It requires further analysis to determine if the bug is exploitable." + }, + "InvalidAsn" : { + "bugType" : "UNKNOWN", + "description" : "The public key in this test uses an invalid ASN encoding. Some cases where the ASN parser is not strictly checking the ASN format are benign as long as the ECDH computation still returns the correct shared value." + }, + "InvalidCompressedPublic" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a compressed public key that does not exist. I.e., it contains an x-coordinate that does not correspond to any points on the curve. Such keys should be rejected " + }, + "InvalidCurveAttack" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The point of the public key is not on the curve. ", + "effect" : "If an implementation does not check whether a point is on the curve then it is likely that the implementation is susceptible to an invalid curve attack. Many implementations compute the shared ECDH secret over a curve defined by the point on the public key. This curve can be weak and hence leak information about the private key." + }, + "InvalidEncoding" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The test vector contains a public key with an invalid encoding." + }, + "InvalidPublic" : { + "bugType" : "CAN_OF_WORMS", + "description" : "The public key has been modified and is invalid. An implementation should always check whether the public key is valid and on the same curve as the private key. The test vector includes the shared secret computed with the original public key if the public point is on the curve of the private key.", + "effect" : "Generating a shared secret other than the one with the original key likely indicates that the bug is exploitable." + }, + "LargeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor is larger than the limits specified in FIPS-PUB 186-4 table 1, p.36." + }, + "Modified curve parameter" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The parameters a and b of the curve have been modified. The parameters haven been chosen so that public key or generator still are also valid points on the new curve." + }, + "ModifiedCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor has been modified. ", + "effect" : "The seriousness of accepting a key with modified cofactor depends on whether the primitive using the key actually uses the cofactor." + }, + "ModifiedGenerator" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The generator of the EC group has been modified.", + "effect" : "The seriousness of the modification depends on whether the cryptographic primitive uses the generator. In the worst case such a modification allows an invalid curve attack." + }, + "ModifiedGroup" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The EC curve of the public key has been modified. EC curve primitives should always check that the keys are on the expected curve." + }, + "ModifiedPrime" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The modulus of the public key has been modified. The public point of the public key has been chosen so that it is both a point on both the curve of the modified public key and the private key." + }, + "ModifiedPublicPoint" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The public point of the key has been modified and is not on the curve.", + "effect" : "Not checking that a public point is on the curve may allow an invalid curve attack." + }, + "NegativeCofactor" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The cofactor of the curve is negative." + }, + "Normal" : { + "bugType" : "BASIC", + "description" : "The test vector contains a pseudorandomly generated, valid test case. Implementations are expected to pass this test." + }, + "UnnamedCurve" : { + "bugType" : "UNKNOWN", + "description" : "The public key does not use a named curve. RFC 3279 allows to encode such curves by explicitly encoding, the parameters of the curve equation, modulus, generator, order and cofactor. However, many crypto libraries only support named curves. Modifying some of the EC parameters and encoding the corresponding public key as an unnamed curve is a potential attack vector." + }, + "UnusedParam" : { + "bugType" : "MALLEABILITY", + "description" : "A parameter that is typically not used for ECDH has been modified. Sometimes libraries ignore small differences between public and private key. For example, a library might ignore an incorrect cofactor in the public key. We consider ignoring such changes as acceptable as long as these differences do not change the outcome of the ECDH computation, i.e. as long as the computation is done on the curve from the private key." + }, + "WeakPublicKey" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The vector contains a weak public key. The curve is not a named curve, the public key point has order 3 and has been chosen to be on the same curve as the private key. This test vector is used to check ECC implementations for missing steps in the verification of the public key." + }, + "WrongCurve" : { + "bugType" : "CONFIDENTIALITY", + "description" : "The public key and private key use distinct curves. Implementations are expected to reject such parameters.", + "effect" : "Computing an ECDH key exchange with public and private keys can in the worst case lead to an invalid curve attack. Hence, it is important that ECDH implementations check the input parameters. The severity of such bugs is typically smaller if an implementation ensures that the point is on the curve and that the ECDH computation is performed on the curve of the private key. Some of the test vectors with modified public key contain shared ECDH secrets, that were computed over the curve of the private key." + }, + "WrongOrder" : { + "bugType" : "MODIFIED_PARAMETER", + "description" : "The order of the public key has been modified.", + "effect" : "If this order is used in a cryptographic primitive instead of the correct order then an invalid curve attack is possible and the private keys may leak. E.g. ECDHC in BC 1.52 suffered from this." + } + }, + "testGroups" : [ + { + "type" : "EcdhTest", + "source" : { + "name" : "google-wycheproof", + "version" : "0.9rc5" + }, + "curve" : "secp256k1", + "encoding" : "asn", + "tests" : [ + { + "tcId" : 1, + "comment" : "normal case", + "flags" : [ + "Normal" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b396812ea1686e7472e9692eaf3e958e50e9500d3b4c77243db1f2acd67ba9cc4", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "valid" + }, + { + "tcId" : 2, + "comment" : "compressed public key", + "flags" : [ + "CompressedPublic", + "CompressedPoint" + ], + "public" : "3036301006072a8648ce3d020106052b8104000a03220002d8096af8a11e0b80037e1ee68246b5dcbb0aeb1cf1244fd767db80f3fa27da2b", + "private" : "00f4b7ff7cccc98813a69fae3df222bfe3f4e28f764bf91b4a10d8096ce446b254", + "shared" : "544dfae22af6af939042b1d85b71a1e49e9a5614123c4d6ad0c8af65baf87d65", + "result" : "acceptable" + }, + { + "tcId" : 3, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = 1", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004965ff42d654e058ee7317cced7caf093fbb180d8d3a74b0dcd9d8cd47a39d5cb9c2aa4daac01a4be37c20467ede964662f12983e0b5272a47a5f2785685d8087", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000001", + "result" : "valid" + }, + { + "tcId" : 4, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = 4", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a0342000406c4b87ba76c6dcb101f54a050a086aa2cb0722f03137df5a922472f1bdc11b982e3c735c4b6c481d09269559f080ad08632f370a054af12c1fd1eced2ea9211", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000002", + "result" : "valid" + }, + { + "tcId" : 5, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = 9", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004bba30eef7967a2f2f08a2ffadac0e41fd4db12a93cef0b045b5706f2853821e6d50b2bf8cbf530e619869e07c021ef16f693cfc0a4b0d4ed5a8f464692bf3d6e", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000000003", + "result" : "valid" + }, + { + "tcId" : 6, + "comment" : "shared secret has x-coordinate p-3", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a034200046da9eb2cdac02122d5f05cf6a8cd768e378f664ea4a7871d10e25f57eb1ee1cc5b2b5abf9c6c6596f8f383ddbcb3bcc2d5a7cc605984931239ca9669946032ee", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2c", + "result" : "valid" + }, + { + "tcId" : 7, + "comment" : "shared secret has x-coordinate 2**16 + 0", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004f2976154c4f53ce392d1fe39a891a4611ba8cf046023cd8f1bcd9fdd2e921191b25cf31caedfbb415381637bc3f599a34fba3e1413f644cb1668469f4558a772", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000000010000", + "result" : "valid" + }, + { + "tcId" : 8, + "comment" : "shared secret has x-coordinate 2**32 + 7", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a034200045e422fea67cca5ebaeac87745c81b10ef807030367e6fce012254176ec8cf199881592f42c264371e19e3037388ab64f32fa8870e62905e7af205e43b02aad12", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000000000000100000007", + "result" : "valid" + }, + { + "tcId" : 9, + "comment" : "shared secret has x-coordinate 2**64 + 1", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004bb57b9a1231be042d185c03eda6926a6def177fe6745eda000c520d66581f0cdf1d73c80453f2fe30725adf951390c739e36fc8677691db107881342613d00ab", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000000000000010000000000000001", + "result" : "valid" + }, + { + "tcId" : 10, + "comment" : "shared secret has x-coordinate 2**96 + 1", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a034200045563c76c19377638f7d517bdbe0ace467eb5d4dd9fb4bf18332bab8f07b1d80c261332d46e316711278bacccd88005ee4c115fa84089fd190674626e5ed1ebfe", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0000000000000000000000000000000000000001000000000000000000000001", + "result" : "valid" + }, + { + "tcId" : 11, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = -6", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a034200048983aae8c002f2b555acb2370adb9b50ba4cac1bfcc9039a125c70ca7c5fc0d1f6efeb8ae4ba8c69429d93244382447ac534891c66090025282655719bd72512", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "0b7beba34feb647da200bed05fad57c0348d249e2a90c88f31f9948bb65d5207", + "result" : "valid" + }, + { + "tcId" : 12, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = 2", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a0342000423556564850c50fba51f1e64ef98378ef5c22feafa29499ca27600c473cace889d5679e917daa7f4c7899517d37826284f031de01a60bc813696414d04531a21", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "210c790573632359b1edb4302c117d8a132654692c3feeb7de3a86ac3f3b53f7", + "result" : "valid" + }, + { + "tcId" : 13, + "comment" : "shared secret has x-coordinate that satisfies x**2 + a = 8", + "flags" : [ + "EdgeCaseSharedSecret" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420004ddbf807e22c56a19cf6c472829150350781034a5eddec365694d4bd5c865ead14e674127028c91d3394cac37293a866055d10f0f40a3706ad16b64fc9d5998bd", + "private" : "00a2b6442a37f8a3764aeff4011a4c422b389a1e509669c43f279c8b7e32d80c3a", + "shared" : "4218f20ae6c646b363db68605822fb14264ca8d2587fdd6fbc750d587e76a7ee", + "result" : "valid" 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+ "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 749, + "comment" : "declaring bits as unused in bit string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03420104e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 750, + "comment" : "unused bits in bit string", + "flags" : [ + "InvalidAsn" + ], + "public" : "305a301006072a8648ce3d020106052b8104000a03462004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da326701020304", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 751, + "comment" : "unused bits in empty bit-string", + "flags" : [ + "InvalidAsn" + ], + "public" : "3015301006072a8648ce3d020106052b8104000a030103", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + }, + { + "tcId" : 752, + "comment" : "128 unused bits", + "flags" : [ + "InvalidAsn" + ], + "public" : "3056301006072a8648ce3d020106052b8104000a03428004e03faca42a8b811759211d49b69dd0e0a686b28ff7b5817789a2f80050791335bf34cf495029075de25603fd56dd3cef36ee8503b9f3b0c1340c8e4012da3267", + "private" : "0495800a83e6c1d61886d332e2613aa3f70df22865b0387ca6ca195cfcd2b2b1", + "shared" : "ebdca74dbf2c8ef63af8d86e0e0ee4511399bc08a395c4ea050bab43a29d2646", + "result" : "acceptable" + } + ] + } + ] +} diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h index 736737fd6..556c23568 100644 --- a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h +++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h @@ -1,4 +1,4 @@ -/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */ +/* Note: this file was autogenerated using tests_wycheproof_generate_ecdsa.py. Do not edit. */ #define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS (463) typedef struct { diff --git a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json index 9c9074799..aa0cc8a42 100644 --- a/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json +++ b/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json @@ -10,7 +10,7 @@ "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.", + "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 occurrences.", "cves" : [ "CVE-2017-18146" ] @@ -95,7 +95,7 @@ }, "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.", + "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 implementation 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", diff --git a/tools/tests_wycheproof_generate_ecdh.py b/tools/tests_wycheproof_generate_ecdh.py new file mode 100755 index 000000000..97551d01a --- /dev/null +++ b/tools/tests_wycheproof_generate_ecdh.py @@ -0,0 +1,166 @@ +#!/usr/bin/env python3 +# Copyright (c) 2024 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 ECDH testvectors from the Wycheproof project. +''' + +import json +import sys + +from binascii import hexlify, unhexlify +from wycheproof_utils import to_c_array + +def should_skip_flags(test_vector_flags): + # skip these vectors because they are for ASN.1 encoding issues and other curves. + # for more details, see https://github.com/bitcoin-core/secp256k1/pull/1492#discussion_r1572491546 + flags_to_skip = {"InvalidAsn", "WrongCurve"} + return any(flag in test_vector_flags for flag in flags_to_skip) + +def should_skip_tcid(test_vector_tcid): + # We skip some test case IDs that have a public key whose custom ASN.1 representation explicitly + # encodes some curve parameters that are invalid. libsecp256k1 never parses this part so we do + # not care testing those. See https://github.com/bitcoin-core/secp256k1/pull/1492#discussion_r1572491546 + tcids_to_skip = [496, 497, 502, 503, 504, 505, 507] + return test_vector_tcid in tcids_to_skip + +# Rudimentary ASN.1 DER public key parser. +# This should not be used for anything other than parsing Wycheproof test vectors. +def parse_der_pk(s): + tag = s[0] + L = int(s[1]) + offset = 0 + if L & 0x80: + if L == 0x81: + L = int(s[2]) + offset = 1 + elif L == 0x82: + L = 256 * int(s[2]) + int(s[3]) + offset = 2 + else: + raise ValueError("invalid L") + value = s[(offset + 2):(L + 2 + offset)] + rest = s[(L + 2 + offset):] + + if len(rest) > 0 or tag == 0x06: # OBJECT IDENTIFIER + return parse_der_pk(rest) + if tag == 0x03: # BIT STRING + return value + if tag == 0x30: # SEQUENCE + return parse_der_pk(value) + raise ValueError("unknown tag") + +def parse_public_key(pk): + der_pub_key = parse_der_pk(unhexlify(pk)) # Convert back to str and strip off the `0x` + return hexlify(der_pub_key).decode()[2:] + +def normalize_private_key(sk): + # Ensure the private key is at most 64 characters long, retaining the last 64 if longer. + # In the wycheproof test vectors, some private keys have leading zeroes + normalized = sk[-64:].zfill(64) + if len(normalized) != 64: + raise ValueError("private key must be exactly 64 characters long.") + return normalized + +def normalize_expected_result(er): + result_mapping = {"invalid": 0, "valid": 1, "acceptable": 1} + return result_mapping[er] + +filename_input = sys.argv[1] + +with open(filename_input) as f: + doc = json.load(f) + +num_vectors = 0 +offset_sk_running, offset_pk_running, offset_shared = 0, 0, 0 +test_vectors_out = "" +private_keys = "" +shared_secrets = "" +public_keys = "" +cache_sks = {} +cache_public_keys = {} + +for group in doc['testGroups']: + assert group["type"] == "EcdhTest" + assert group["curve"] == "secp256k1" + for test_vector in group['tests']: + if should_skip_flags(test_vector['flags']) or should_skip_tcid(test_vector['tcId']): + continue + + public_key = parse_public_key(test_vector['public']) + private_key = normalize_private_key(test_vector['private']) + expected_result = normalize_expected_result(test_vector['result']) + + # // 2 to convert hex to byte length + shared_size = len(test_vector['shared']) // 2 + sk_size = len(private_key) // 2 + pk_size = len(public_key) // 2 + + new_sk = False + sk = to_c_array(private_key) + sk_offset = offset_sk_running + + # check for repeated sk + if sk not in cache_sks: + if num_vectors != 0 and sk_size != 0: + private_keys += ",\n " + cache_sks[sk] = offset_sk_running + private_keys += sk + new_sk = True + else: + sk_offset = cache_sks[sk] + + new_pk = False + pk = to_c_array(public_key) if public_key != '0x' else '' + + pk_offset = offset_pk_running + # check for repeated pk + if pk not in cache_public_keys: + if num_vectors != 0 and len(pk) != 0: + public_keys += ",\n " + cache_public_keys[pk] = offset_pk_running + public_keys += pk + new_pk = True + else: + pk_offset = cache_public_keys[pk] + + + shared_secrets += ",\n " if num_vectors and shared_size else "" + shared_secrets += to_c_array(test_vector['shared']) + wycheproof_tcid = test_vector['tcId'] + + test_vectors_out += " /" + "* tcId: " + str(test_vector['tcId']) + ". " + test_vector['comment'] + " *" + "/\n" + test_vectors_out += f" {{{pk_offset}, {pk_size}, {sk_offset}, {sk_size}, {offset_shared}, {shared_size}, {expected_result}, {wycheproof_tcid} }},\n" + if new_sk: + offset_sk_running += sk_size + if new_pk: + offset_pk_running += pk_size + offset_shared += shared_size + num_vectors += 1 + +struct_definition = """ +typedef struct { + size_t pk_offset; + size_t pk_len; + size_t sk_offset; + size_t sk_len; + size_t shared_offset; + size_t shared_len; + int expected_result; + int wycheproof_tcid; +} wycheproof_ecdh_testvector; +""" + +print("/* Note: this file was autogenerated using tests_wycheproof_ecdh.py. Do not edit. */") +print(f"#define SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS ({num_vectors})") + +print(struct_definition) + +print("static const unsigned char wycheproof_ecdh_private_keys[] = { " + private_keys + "};\n") +print("static const unsigned char wycheproof_ecdh_public_keys[] = { " + public_keys + "};\n") +print("static const unsigned char wycheproof_ecdh_shared_secrets[] = { " + shared_secrets + "};\n") + +print("static const wycheproof_ecdh_testvector testvectors[SECP256K1_ECDH_WYCHEPROOF_NUMBER_TESTVECTORS] = {") +print(test_vectors_out) +print("};") diff --git a/tools/tests_wycheproof_generate.py b/tools/tests_wycheproof_generate_ecdsa.py similarity index 95% rename from tools/tests_wycheproof_generate.py rename to tools/tests_wycheproof_generate_ecdsa.py index b26dfa89d..91ff9e318 100755 --- a/tools/tests_wycheproof_generate.py +++ b/tools/tests_wycheproof_generate_ecdsa.py @@ -9,6 +9,8 @@ import json import sys +from wycheproof_utils import to_c_array + filename_input = sys.argv[1] with open(filename_input) as f: @@ -16,12 +18,6 @@ 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 @@ -101,7 +97,7 @@ def to_c_array(x): """ -print("/* Note: this file was autogenerated using tests_wycheproof_generate.py. Do not edit. */") +print("/* Note: this file was autogenerated using tests_wycheproof_generate_ecdsa.py. Do not edit. */") print(f"#define SECP256K1_ECDSA_WYCHEPROOF_NUMBER_TESTVECTORS ({num_vectors})") print(struct_definition) diff --git a/tools/wycheproof_utils.py b/tools/wycheproof_utils.py new file mode 100644 index 000000000..e8d2edd08 --- /dev/null +++ b/tools/wycheproof_utils.py @@ -0,0 +1,12 @@ +# Copyright (c) 2024 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. +''' +Utility functions for generating C files for testvectors from the Wycheproof project. +''' + +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