From 967c65b158ca73da38c4c1d16628bd4b41aa2676 Mon Sep 17 00:00:00 2001 From: dhruv <856960+dhruv@users.noreply.github.com> Date: Wed, 14 Dec 2022 13:24:55 -0800 Subject: [PATCH] Squashed 'src/secp256k1/' changes from 44c2452fd3..9a66978e87 9a66978e87 Add ellswift testing to CI f4aba16117 Add ElligatorSwift ctime tests f75ada474e Add tests for ElligatorSwift 00564207a0 Add ElligatorSwift benchmarks 92b824d570 Add ellswift module implementing ElligatorSwift 8b3b24f8d9 Add functions to test if X coordinate is valid 87681bd117 Add benchmark for key generation 2a04ee074e Add x-only ecmult_const version for x=n/d 55822babf2 doc: Describe Jacobi calculation in safegcd_implementation.md 87e7e70eb7 Native jacobi symbol algorithm a9c6aa9ed3 Make secp256k1_modinv64_det_check_pow2 support abs val 7e470f8db9 Make secp256k1_i128_check_pow2 support -(2^n) 5c789dcd73 Merge bitcoin-core/secp256k1#1168: Replace deprecated context flags with NONE in benchmarks and tests d6dc0f4ae3 tests: Switch to NONE contexts in module tests 0c8a5caddd tests: Switch to NONE contexts in tests.c 86540e9e1f tests: add test for deprecated flags and rm them from run_context caa0ad631e group: add gej_eq_var 37ba744f5b tests: Switch to NONE contexts in exhaustive and ctime tests 8d7a9a8eda benchmarks: Switch to NONE contexts e3f84777eb Merge bitcoin-core/secp256k1#1126: API cleanup with respect to contexts 4386a2306c examples: Switch to NONE contexts 7289b51d31 docs: Use doxygen style if and only if comment is user-facing e7d0185c90 docs: Get rid of "initialized for signing" terminology 06126364ad docs: Tidy and improve docs about contexts and randomization e02d6862bd selftest: Expose in public API e383fbfa66 selftest: Rename internal function to make name available for API d2c6d48de3 tests: Use new name of static context 53796d2b24 contexts: Rename static context 72fedf8a6c docs: Improve docs for static context 316ac7625a contexts: Deprecate all context flags except SECP256K1_CONTEXT_NONE 477f02c4de Merge bitcoin-core/secp256k1#1165: gitignore: Add *.sage.py files autogenerated by sage [skip ci] 092be61c5e gitignore: Add *.sage.py files autogenerated by sage 1a553ee8be docs: Change signature "validation" to "verification" ee7341fbac docs: Never require a verification context 751c4354d5 Merge bitcoin-core/secp256k1#1152: Update macOS image for CI 2286f80902 Merge bitcoin-core/secp256k1#993: Enable non-experimental modules by default e40fd277b7 Merge bitcoin-core/secp256k1#1156: Followups to int128_struct arithmetic 99bd335599 Make int128 overflow test use secp256k1_[ui]128_mul a8494b02bf Use compute credits for macOS jobs 3afce0af7c Avoid signed overflow in MSVC AMR64 secp256k1_mul128 c0ae48c995 Update macOS image for CI 9b5f589d30 Heuristically decide whether to use int128_struct 63ff064d2f int128: Add test override for testing __(u)mulh on MSVC X64 f2b7e88768 Add int128 randomized tests 6138d73be4 Merge bitcoin-core/secp256k1#1155: Add MSan CI jobs ddf2b2910e Merge bitcoin-core/secp256k1#1000: Synthetic int128 type. 86e3b38a4a Merge bitcoin-core/secp256k1#1149: Remove usage of CHECK from non-test file 00a42b91b3 Add MSan CI job 44916ae915 Merge bitcoin-core/secp256k1#1147: ci: print env to allow reproducing the job outside of CI c2ee9175e9 Merge bitcoin-core/secp256k1#1146: ci: prevent "-v/--version: not found" irrelevant error e13fae487e Merge bitcoin-core/secp256k1#1150: ci: always cat test_env.log a340d9500a ci: add int128_struct tests dceaa1f579 int128: Tidy #includes of int128.h and int128_impl.h 2914bccbc0 Simulated int128 type. 6a965b6b98 Remove usage of CHECK from non-test file 5c9f1a5c37 ci: always cat all logs_snippets 49ae843592 ci: mostly prevent "-v/--version: not found" irrelevant error 4e54c03153 ci: print env to allow reproducing the job outside of CI a43e982bca Merge bitcoin-core/secp256k1#1144: Cleanup `.gitignore` file f5039cb66c Cleanup `.gitignore` file 798727ae1e Revert "Add test logs to gitignore" 41e8704b48 build: Enable some modules by default 694ce8fb2d Merge bitcoin-core/secp256k1#1131: readme: Misc improvements 88b00897e7 readme: Fix line break 78f5296da4 readme: Sell "no runtime dependencies" ef48f088ad readme: Add IRC channel 9f8a13dc8e Merge bitcoin-core/secp256k1#1128: configure: Remove pkgconfig macros again (reintroduced by mismerge) cabe085bb4 configure: Remove pkgconfig macros again (reintroduced by mismerge) 3efeb9da21 Merge bitcoin-core/secp256k1#1121: config: Set preprocessor defaults for ECMULT_* config values 6a873cc4a9 Merge bitcoin-core/secp256k1#1122: tests: Randomize the context with probability 15/16 instead of 1/4 17065f48ae tests: Randomize the context with probability 15/16 instead of 1/4 c27ae45144 config: Remove basic-config.h da6514a04a config: Introduce DEBUG_CONFIG macro for debug output of config 63a3565e97 Merge bitcoin-core/secp256k1#1120: ecmult_gen: Skip RNG when creating blinding if no seed is available d0cf55e13a config: Set preprocessor defaults for ECMULT_* config values 55f8bc99dc ecmult_gen: Improve comments about projective blinding 7a86955800 ecmult_gen: Simplify code (no observable change) 4cc0b1b669 ecmult_gen: Skip RNG when creating blinding if no seed is available af65d30cc8 Merge bitcoin-core/secp256k1#1116: build: Fix #include "..." paths to get rid of further -I arguments 40a3473a9d build: Fix #include "..." paths to get rid of further -I arguments 43756da819 Merge bitcoin-core/secp256k1#1115: Fix sepc256k1 -> secp256k1 typo in group.h 069aba8125 Fix sepc256k1 -> secp256k1 typo in group.h accadc94df Merge bitcoin-core/secp256k1#1114: `_scratch_destroy`: move `VERIFY_CHECK` after invalid scrach space check cd47033335 Merge bitcoin-core/secp256k1#1084: ci: Add MSVC builds 1827c9bf2b scratch_destroy: move VERIFY_CHECK after invalid scrach space check 49e2acd927 configure: Improve rationale for WERROR_CFLAGS 8dc4b03341 ci: Add a C++ job that compiles the public headers without -fpermissive 51f296a46c ci: Run persistent wineserver to speed up wine 3fb3269c22 ci: Add 32-bit MinGW64 build 9efc2e5221 ci: Add MSVC builds 2be6ba0fed configure: Convince autotools to work with MSVC's archiver lib.exe bd81f4140a schnorrsig bench: Suppress a stupid warning in MSVC 09f3d71c51 configure: Add a few CFLAGS for MSVC 3b4f3d0d46 build: Reject C++ compilers in the preprocessor 1cc0941414 configure: Don't abort if the compiler does not define __STDC__ cca8cbbac8 configure: Output message when checking for valgrind 1a6be5745f bench: Make benchmarks compile on MSVC git-subtree-dir: src/secp256k1 git-subtree-split: 9a66978e87ea02c81981a71bc7ab73d5cf7df5ae --- .cirrus.yml | 173 ++-- .gitignore | 4 +- Makefile.am | 15 +- README.md | 8 +- build-aux/m4/bitcoin_secp.m4 | 2 + ci/cirrus.sh | 45 +- ci/linux-debian.Dockerfile | 31 +- configure.ac | 90 +- contrib/lax_der_privatekey_parsing.h | 3 +- doc/CHANGELOG.md | 10 + doc/safegcd_implementation.md | 31 +- examples/ecdh.c | 8 +- examples/ecdsa.c | 8 +- examples/schnorr.c | 8 +- include/secp256k1.h | 175 ++-- include/secp256k1_ellswift.h | 170 ++++ include/secp256k1_extrakeys.h | 8 +- include/secp256k1_preallocated.h | 2 + include/secp256k1_recovery.h | 4 +- include/secp256k1_schnorrsig.h | 4 +- src/assumptions.h | 7 +- src/basic-config.h | 17 - src/bench.c | 45 +- src/bench.h | 18 +- src/bench_ecmult.c | 6 +- src/bench_internal.c | 29 +- src/ecmult.h | 11 + src/ecmult_const.h | 19 + src/ecmult_const_impl.h | 54 ++ src/ecmult_gen.h | 12 + src/ecmult_gen_impl.h | 17 +- src/ecmult_impl.h | 12 +- src/field.h | 3 + src/field_10x26_impl.h | 28 + src/field_5x52_impl.h | 28 + src/field_5x52_int128_impl.h | 252 ++--- src/group.h | 11 +- src/group_impl.h | 36 + src/int128.h | 85 ++ src/int128_impl.h | 18 + src/int128_native.h | 19 + src/int128_native_impl.h | 88 ++ src/int128_struct.h | 14 + src/int128_struct_impl.h | 198 ++++ src/modinv32.h | 4 + src/modinv32_impl.h | 176 +++- src/modinv64.h | 4 + src/modinv64_impl.h | 372 ++++++-- src/modules/ecdh/bench_impl.h | 2 +- src/modules/ecdh/tests_impl.h | 2 +- src/modules/ellswift/Makefile.am.include | 4 + src/modules/ellswift/bench_impl.h | 100 ++ src/modules/ellswift/main_impl.h | 462 ++++++++++ src/modules/ellswift/tests_impl.h | 292 ++++++ src/modules/extrakeys/tests_exhaustive_impl.h | 2 +- src/modules/extrakeys/tests_impl.h | 236 +++-- src/modules/recovery/bench_impl.h | 4 +- src/modules/recovery/tests_exhaustive_impl.h | 2 +- src/modules/recovery/tests_impl.h | 84 +- src/modules/schnorrsig/bench_impl.h | 12 +- .../schnorrsig/tests_exhaustive_impl.h | 2 +- src/modules/schnorrsig/tests_impl.h | 72 +- src/precompute_ecmult.c | 3 + src/precompute_ecmult_gen.c | 3 + src/scalar_4x64_impl.h | 150 +-- src/scratch_impl.h | 2 +- src/secp256k1.c | 40 +- src/selftest.h | 2 +- src/tests.c | 872 +++++++++++++----- src/tests_exhaustive.c | 8 +- src/util.h | 41 +- src/valgrind_ctime_test.c | 29 +- 72 files changed, 3777 insertions(+), 1031 deletions(-) create mode 100644 include/secp256k1_ellswift.h delete mode 100644 src/basic-config.h create mode 100644 src/int128.h create mode 100644 src/int128_impl.h create mode 100644 src/int128_native.h create mode 100644 src/int128_native_impl.h create mode 100644 src/int128_struct.h create mode 100644 src/int128_struct_impl.h create mode 100644 src/modules/ellswift/Makefile.am.include create mode 100644 src/modules/ellswift/bench_impl.h create mode 100644 src/modules/ellswift/main_impl.h create mode 100644 src/modules/ellswift/tests_impl.h diff --git a/.cirrus.yml b/.cirrus.yml index a2e7f36d1f..a8156fb77f 100644 --- a/.cirrus.yml +++ b/.cirrus.yml @@ -18,6 +18,7 @@ env: ECDH: no RECOVERY: no SCHNORRSIG: no + ELLSWIFT: no ### test options SECP256K1_TEST_ITERS: BENCH: yes @@ -26,6 +27,11 @@ env: # Compile and run the tests EXAMPLES: yes +# https://cirrus-ci.org/pricing/#compute-credits +# Only use credits for pull requests to the main repo +credits_snippet: &CREDITS + use_compute_credits: $CIRRUS_REPO_FULL_NAME == 'bitcoin-core/secp256k1' && $CIRRUS_PR != "" + cat_logs_snippet: &CAT_LOGS always: cat_tests_log_script: @@ -36,7 +42,6 @@ cat_logs_snippet: &CAT_LOGS - cat valgrind_ctime_test.log || true cat_bench_log_script: - cat bench.log || true - on_failure: cat_config_log_script: - cat config.log || true cat_test_env_script: @@ -67,11 +72,12 @@ task: << : *LINUX_CONTAINER matrix: &ENV_MATRIX - env: {WIDEMUL: int64, RECOVERY: yes} - - env: {WIDEMUL: int64, ECDH: yes, SCHNORRSIG: yes} + - env: {WIDEMUL: int64, ECDH: yes, SCHNORRSIG: yes, ELLSWIFT: yes} - env: {WIDEMUL: int128} - - env: {WIDEMUL: int128, RECOVERY: yes, SCHNORRSIG: yes} + - env: {WIDEMUL: int128_struct, ELLSWIFT: yes} + - env: {WIDEMUL: int128, RECOVERY: yes, SCHNORRSIG: yes, ELLSWIFT: yes} - env: {WIDEMUL: int128, ECDH: yes, SCHNORRSIG: yes} - - env: {WIDEMUL: int128, ASM: x86_64} + - env: {WIDEMUL: int128, ASM: x86_64 , ELLSWIFT: yes} - env: { RECOVERY: yes, SCHNORRSIG: yes} - env: {BUILD: distcheck, WITH_VALGRIND: no, CTIMETEST: no, BENCH: no} - env: {CPPFLAGS: -DDETERMINISTIC} @@ -107,65 +113,32 @@ task: << : *CAT_LOGS task: - name: "x86_64: macOS Catalina" + name: "arm64: macOS Ventura" macos_instance: - image: catalina-base + image: ghcr.io/cirruslabs/macos-ventura-base:latest env: HOMEBREW_NO_AUTO_UPDATE: 1 HOMEBREW_NO_INSTALL_CLEANUP: 1 - # Cirrus gives us a fixed number of 12 virtual CPUs. Not that we even have that many jobs at the moment... - MAKEFLAGS: -j13 + # Cirrus gives us a fixed number of 4 virtual CPUs. Not that we even have that many jobs at the moment... + MAKEFLAGS: -j5 matrix: << : *ENV_MATRIX + env: + ASM: no + WITH_VALGRIND: no + CTIMETEST: no matrix: - env: - CC: gcc-9 + CC: gcc - env: CC: clang - # Update Command Line Tools - # Uncomment this if the Command Line Tools on the CirrusCI macOS image are too old to brew valgrind. - # See https://apple.stackexchange.com/a/195963 for the implementation. - ## update_clt_script: - ## - system_profiler SPSoftwareDataType - ## - touch /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress - ## - |- - ## PROD=$(softwareupdate -l | grep "*.*Command Line" | tail -n 1 | awk -F"*" '{print $2}' | sed -e 's/^ *//' | sed 's/Label: //g' | tr -d '\n') - ## # For debugging - ## - softwareupdate -l && echo "PROD: $PROD" - ## - softwareupdate -i "$PROD" --verbose - ## - rm /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress - ## - brew_valgrind_pre_script: - # Retry a few times because this tends to fail randomly. - - for i in {1..5}; do brew update && break || sleep 15; done - - brew config - - brew tap LouisBrunner/valgrind - # Fetch valgrind source but don't build it yet. - - brew fetch --HEAD LouisBrunner/valgrind/valgrind - brew_valgrind_cache: - # This is $(brew --cellar valgrind) but command substition does not work here. - folder: /usr/local/Cellar/valgrind - # Rebuild cache if ... - fingerprint_script: - # ... macOS version changes: - - sw_vers - # ... brew changes: - - brew config - # ... valgrind changes: - - git -C "$(brew --cache)/valgrind--git" rev-parse HEAD - populate_script: - # If there's no hit in the cache, build and install valgrind. - - brew install --HEAD LouisBrunner/valgrind/valgrind - brew_valgrind_post_script: - # If we have restored valgrind from the cache, tell brew to create symlink to the PATH. - # If we haven't restored from cached (and just run brew install), this is a no-op. - - brew link valgrind brew_script: - - brew install automake libtool gcc@9 + - brew install automake libtool gcc << : *MERGE_BASE test_script: - ./ci/cirrus.sh << : *CAT_LOGS + << : *CREDITS task: name: "s390x (big-endian): Linux (Debian stable, QEMU)" @@ -178,6 +151,7 @@ task: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes CTIMETEST: no << : *MERGE_BASE test_script: @@ -197,6 +171,7 @@ task: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes CTIMETEST: no matrix: - env: {} @@ -217,6 +192,7 @@ task: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes CTIMETEST: no << : *MERGE_BASE test_script: @@ -234,6 +210,7 @@ task: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes CTIMETEST: no << : *MERGE_BASE test_script: @@ -241,17 +218,64 @@ task: << : *CAT_LOGS task: - name: "x86_64 (mingw32-w64): Windows (Debian stable, Wine)" << : *LINUX_CONTAINER env: - WRAPPER_CMD: wine64-stable - SECP256K1_TEST_ITERS: 16 - HOST: x86_64-w64-mingw32 + WRAPPER_CMD: wine WITH_VALGRIND: no ECDH: yes RECOVERY: yes SCHNORRSIG: yes CTIMETEST: no + matrix: + - name: "x86_64 (mingw32-w64): Windows (Debian stable, Wine)" + env: + HOST: x86_64-w64-mingw32 + - name: "i686 (mingw32-w64): Windows (Debian stable, Wine)" + env: + HOST: i686-w64-mingw32 + << : *MERGE_BASE + test_script: + - ./ci/cirrus.sh + << : *CAT_LOGS + +task: + << : *LINUX_CONTAINER + env: + WRAPPER_CMD: wine + WERROR_CFLAGS: -WX + WITH_VALGRIND: no + ECDH: yes + RECOVERY: yes + EXPERIMENTAL: yes + SCHNORRSIG: yes + ELLSWIFT: yes + CTIMETEST: no + # Use a MinGW-w64 host to tell ./configure we're building for Windows. + # This will detect some MinGW-w64 tools but then make will need only + # the MSVC tools CC, AR and NM as specified below. + HOST: x86_64-w64-mingw32 + CC: /opt/msvc/bin/x64/cl + AR: /opt/msvc/bin/x64/lib + NM: /opt/msvc/bin/x64/dumpbin -symbols -headers + # Set non-essential options that affect the CLI messages here. + # (They depend on the user's taste, so we don't want to set them automatically in configure.ac.) + CFLAGS: -nologo -diagnostics:caret + LDFLAGS: -XCClinker -nologo -XCClinker -diagnostics:caret + matrix: + - name: "x86_64 (MSVC): Windows (Debian stable, Wine)" + - name: "x86_64 (MSVC): Windows (Debian stable, Wine, int128_struct)" + env: + WIDEMUL: int128_struct + - name: "x86_64 (MSVC): Windows (Debian stable, Wine, int128_struct with __(u)mulh)" + env: + WIDEMUL: int128_struct + CPPFLAGS: -DSECP256K1_MSVC_MULH_TEST_OVERRIDE + - name: "i686 (MSVC): Windows (Debian stable, Wine)" + env: + HOST: i686-w64-mingw32 + CC: /opt/msvc/bin/x86/cl + AR: /opt/msvc/bin/x86/lib + NM: /opt/msvc/bin/x86/dumpbin -symbols -headers << : *MERGE_BASE test_script: - ./ci/cirrus.sh @@ -264,6 +288,7 @@ task: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes CTIMETEST: no matrix: - name: "Valgrind (memcheck)" @@ -301,23 +326,57 @@ task: - ./ci/cirrus.sh << : *CAT_LOGS +# Memory sanitizers task: - name: "C++ -fpermissive" << : *LINUX_CONTAINER + name: "MSan" env: - # ./configure correctly errors out when given CC=g++. - # We hack around this by passing CC=g++ only to make. - CC: gcc - MAKEFLAGS: -j4 CC=g++ CFLAGS=-fpermissive\ -g + ECDH: yes + RECOVERY: yes + SCHNORRSIG: yes + CTIMETEST: no + CC: clang + SECP256K1_TEST_ITERS: 32 + ASM: no + container: + memory: 2G + matrix: + - env: + CFLAGS: "-fsanitize=memory -g" + - env: + ECMULTGENPRECISION: 2 + ECMULTWINDOW: 2 + CFLAGS: "-fsanitize=memory -g -O3" + << : *MERGE_BASE + test_script: + - ./ci/cirrus.sh + << : *CAT_LOGS + +task: + name: "C++ -fpermissive (entire project)" + << : *LINUX_CONTAINER + env: + CC: g++ + CFLAGS: -fpermissive -g + CPPFLAGS: -DSECP256K1_CPLUSPLUS_TEST_OVERRIDE WERROR_CFLAGS: ECDH: yes RECOVERY: yes SCHNORRSIG: yes + ELLSWIFT: yes << : *MERGE_BASE test_script: - ./ci/cirrus.sh << : *CAT_LOGS +task: + name: "C++ (public headers)" + << : *LINUX_CONTAINER + test_script: + - g++ -Werror include/*.h + - clang -Werror -x c++-header include/*.h + - /opt/msvc/bin/x64/cl.exe -c -WX -TP include/*.h + task: name: "sage prover" << : *LINUX_CONTAINER diff --git a/.gitignore b/.gitignore index d88627d72e..80c646b771 100644 --- a/.gitignore +++ b/.gitignore @@ -13,9 +13,9 @@ schnorr_example *.so *.a *.csv -!.gitignore *.log *.trs +*.sage.py Makefile configure @@ -34,8 +34,6 @@ libtool *.lo *.o *~ -*.log -*.trs coverage/ coverage.html diff --git a/Makefile.am b/Makefile.am index 51c5960301..a63b648169 100644 --- a/Makefile.am +++ b/Makefile.am @@ -48,6 +48,12 @@ noinst_HEADERS += src/precomputed_ecmult.h noinst_HEADERS += src/precomputed_ecmult_gen.h noinst_HEADERS += src/assumptions.h noinst_HEADERS += src/util.h +noinst_HEADERS += src/int128.h +noinst_HEADERS += src/int128_impl.h +noinst_HEADERS += src/int128_native.h +noinst_HEADERS += src/int128_native_impl.h +noinst_HEADERS += src/int128_struct.h +noinst_HEADERS += src/int128_struct_impl.h noinst_HEADERS += src/scratch.h noinst_HEADERS += src/scratch_impl.h noinst_HEADERS += src/selftest.h @@ -58,7 +64,6 @@ noinst_HEADERS += src/hash_impl.h noinst_HEADERS += src/field.h noinst_HEADERS += src/field_impl.h noinst_HEADERS += src/bench.h -noinst_HEADERS += src/basic-config.h noinst_HEADERS += contrib/lax_der_parsing.h noinst_HEADERS += contrib/lax_der_parsing.c noinst_HEADERS += contrib/lax_der_privatekey_parsing.h @@ -87,7 +92,7 @@ endif endif libsecp256k1_la_SOURCES = src/secp256k1.c -libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES) +libsecp256k1_la_CPPFLAGS = $(SECP_INCLUDES) libsecp256k1_la_LIBADD = $(SECP_LIBS) $(COMMON_LIB) $(PRECOMPUTED_LIB) libsecp256k1_la_LDFLAGS = -no-undefined -version-info $(LIB_VERSION_CURRENT):$(LIB_VERSION_REVISION):$(LIB_VERSION_AGE) @@ -112,7 +117,7 @@ TESTS = if USE_TESTS noinst_PROGRAMS += tests tests_SOURCES = src/tests.c -tests_CPPFLAGS = -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES) +tests_CPPFLAGS = $(SECP_INCLUDES) $(SECP_TEST_INCLUDES) if VALGRIND_ENABLED tests_CPPFLAGS += -DVALGRIND noinst_PROGRAMS += valgrind_ctime_test @@ -228,3 +233,7 @@ endif if ENABLE_MODULE_SCHNORRSIG include src/modules/schnorrsig/Makefile.am.include endif + +if ENABLE_MODULE_ELLSWIFT +include src/modules/ellswift/Makefile.am.include +endif diff --git a/README.md b/README.md index f5db915e83..ffdc9aeaee 100644 --- a/README.md +++ b/README.md @@ -2,6 +2,8 @@ libsecp256k1 ============ [![Build Status](https://api.cirrus-ci.com/github/bitcoin-core/secp256k1.svg?branch=master)](https://cirrus-ci.com/github/bitcoin-core/secp256k1) +![Dependencies: None](https://img.shields.io/badge/dependencies-none-success) +[![irc.libera.chat #secp256k1](https://img.shields.io/badge/irc.libera.chat-%23secp256k1-success)](https://web.libera.chat/#secp256k1) Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1. @@ -15,6 +17,7 @@ Features: * Derandomized ECDSA (via RFC6979 or with a caller provided function.) * Very efficient implementation. * Suitable for embedded systems. +* No runtime dependencies. * Optional module for public key recovery. * Optional module for ECDH key exchange. * Optional module for Schnorr signatures according to [BIP-340](https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki). @@ -72,11 +75,12 @@ To compile optional modules (such as Schnorr signatures), you need to run `./con Usage examples ----------- - Usage examples can be found in the [examples](examples) directory. To compile them you need to configure with `--enable-examples`. +Usage examples can be found in the [examples](examples) directory. To compile them you need to configure with `--enable-examples`. * [ECDSA example](examples/ecdsa.c) * [Schnorr signatures example](examples/schnorr.c) * [Deriving a shared secret (ECDH) example](examples/ecdh.c) - To compile the Schnorr signature and ECDH examples, you also need to configure with `--enable-module-schnorrsig` and `--enable-module-ecdh`. + +To compile the Schnorr signature and ECDH examples, you also need to configure with `--enable-module-schnorrsig` and `--enable-module-ecdh`. Test coverage ----------- diff --git a/build-aux/m4/bitcoin_secp.m4 b/build-aux/m4/bitcoin_secp.m4 index 9cb54de098..98be915b67 100644 --- a/build-aux/m4/bitcoin_secp.m4 +++ b/build-aux/m4/bitcoin_secp.m4 @@ -10,6 +10,7 @@ AC_MSG_RESULT([$has_64bit_asm]) ]) AC_DEFUN([SECP_VALGRIND_CHECK],[ +AC_MSG_CHECKING([for valgrind support]) if test x"$has_valgrind" != x"yes"; then CPPFLAGS_TEMP="$CPPFLAGS" CPPFLAGS="$VALGRIND_CPPFLAGS $CPPFLAGS" @@ -21,6 +22,7 @@ if test x"$has_valgrind" != x"yes"; then #endif ]])], [has_valgrind=yes; AC_DEFINE(HAVE_VALGRIND,1,[Define this symbol if valgrind is installed, and it supports the host platform])]) fi +AC_MSG_RESULT($has_valgrind) ]) dnl SECP_TRY_APPEND_CFLAGS(flags, VAR) diff --git a/ci/cirrus.sh b/ci/cirrus.sh index b85f012d3f..8ca18a0779 100755 --- a/ci/cirrus.sh +++ b/ci/cirrus.sh @@ -5,10 +5,47 @@ set -x export LC_ALL=C +# Print relevant CI environment to allow reproducing the job outside of CI. +print_environment() { + # Turn off -x because it messes up the output + set +x + # There are many ways to print variable names and their content. This one + # does not rely on bash. + for i in WERROR_CFLAGS MAKEFLAGS BUILD \ + ECMULTWINDOW ECMULTGENPRECISION ASM WIDEMUL WITH_VALGRIND EXTRAFLAGS \ + EXPERIMENTAL ECDH RECOVERY SCHNORRSIG \ + SECP256K1_TEST_ITERS BENCH SECP256K1_BENCH_ITERS CTIMETEST\ + EXAMPLES \ + WRAPPER_CMD CC AR NM HOST + do + eval 'printf "%s %s " "$i=\"${'"$i"'}\""' + done + echo "$0" + set -x +} +print_environment + +# Start persistent wineserver if necessary. +# This speeds up jobs with many invocations of wine (e.g., ./configure with MSVC) tremendously. +case "$WRAPPER_CMD" in + *wine*) + # This is apparently only reliable when we run a dummy command such as "hh.exe" afterwards. + wineserver -p && wine hh.exe + ;; +esac + env >> test_env.log -$CC -v || true -valgrind --version || true +if [ -n "$CC" ]; then + # The MSVC compiler "cl" doesn't understand "-v" + $CC -v || true +fi +if [ "$WITH_VALGRIND" = "yes" ]; then + valgrind --version +fi +if [ -n "$WRAPPER_CMD" ]; then + $WRAPPER_CMD --version +fi ./autogen.sh @@ -18,6 +55,7 @@ valgrind --version || true --with-ecmult-window="$ECMULTWINDOW" \ --with-ecmult-gen-precision="$ECMULTGENPRECISION" \ --enable-module-ecdh="$ECDH" --enable-module-recovery="$RECOVERY" \ + --enable-module-ellswift="$ELLSWIFT" \ --enable-module-schnorrsig="$SCHNORRSIG" \ --enable-examples="$EXAMPLES" \ --with-valgrind="$WITH_VALGRIND" \ @@ -63,6 +101,9 @@ then make precomp fi +# Shutdown wineserver again +wineserver -k || true + # Check that no repo files have been modified by the build. # (This fails for example if the precomp files need to be updated in the repo.) git diff --exit-code diff --git a/ci/linux-debian.Dockerfile b/ci/linux-debian.Dockerfile index 5cccbb5565..a83a4e36db 100644 --- a/ci/linux-debian.Dockerfile +++ b/ci/linux-debian.Dockerfile @@ -1,15 +1,14 @@ FROM debian:stable -RUN dpkg --add-architecture i386 -RUN dpkg --add-architecture s390x -RUN dpkg --add-architecture armhf -RUN dpkg --add-architecture arm64 -RUN dpkg --add-architecture ppc64el -RUN apt-get update +RUN dpkg --add-architecture i386 && \ + dpkg --add-architecture s390x && \ + dpkg --add-architecture armhf && \ + dpkg --add-architecture arm64 && \ + dpkg --add-architecture ppc64el # dkpg-dev: to make pkg-config work in cross-builds # llvm: for llvm-symbolizer, which is used by clang's UBSan for symbolized stack traces -RUN apt-get install --no-install-recommends --no-upgrade -y \ +RUN apt-get update && apt-get install --no-install-recommends -y \ git ca-certificates \ make automake libtool pkg-config dpkg-dev valgrind qemu-user \ gcc clang llvm libc6-dbg \ @@ -19,8 +18,20 @@ RUN apt-get install --no-install-recommends --no-upgrade -y \ gcc-arm-linux-gnueabihf libc6-dev-armhf-cross libc6-dbg:armhf \ gcc-aarch64-linux-gnu libc6-dev-arm64-cross libc6-dbg:arm64 \ gcc-powerpc64le-linux-gnu libc6-dev-ppc64el-cross libc6-dbg:ppc64el \ - wine gcc-mingw-w64-x86-64 \ + gcc-mingw-w64-x86-64-win32 wine64 wine \ + gcc-mingw-w64-i686-win32 wine32 \ sagemath -# Run a dummy command in wine to make it set up configuration -RUN wine64-stable xcopy || true +WORKDIR /root +# The "wine" package provides a convience wrapper that we need +RUN apt-get update && apt-get install --no-install-recommends -y \ + git ca-certificates wine64 wine python3-simplejson python3-six msitools winbind procps && \ + git clone https://github.com/mstorsjo/msvc-wine && \ + mkdir /opt/msvc && \ + python3 msvc-wine/vsdownload.py --accept-license --dest /opt/msvc Microsoft.VisualStudio.Workload.VCTools && \ + msvc-wine/install.sh /opt/msvc + +# Initialize the wine environment. Wait until the wineserver process has +# exited before closing the session, to avoid corrupting the wine prefix. +RUN wine64 wineboot --init && \ + while (ps -A | grep wineserver) > /dev/null; do sleep 1; done diff --git a/configure.ac b/configure.ac index 2db59a8ff3..5d4ba66904 100644 --- a/configure.ac +++ b/configure.ac @@ -33,12 +33,14 @@ AM_INIT_AUTOMAKE([1.11.2 foreign subdir-objects]) m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])]) AC_PROG_CC -if test x"$ac_cv_prog_cc_c89" = x"no"; then - AC_MSG_ERROR([c89 compiler support required]) -fi AM_PROG_AS AM_PROG_AR +# Clear some cache variables as a workaround for a bug that appears due to a bad +# interaction between AM_PROG_AR and LT_INIT when combining MSVC's archiver lib.exe. +# https://debbugs.gnu.org/cgi/bugreport.cgi?bug=54421 +AS_UNSET(ac_cv_prog_AR) +AS_UNSET(ac_cv_prog_ac_ct_AR) LT_INIT([win32-dll]) build_windows=no @@ -87,23 +89,35 @@ esac # # TODO We should analogously not touch CPPFLAGS and LDFLAGS but currently there are no issues. AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [ - # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will - # not error out if it gets unknown warning flags and the checks here will always succeed - # no matter if clang knows the flag or not. - SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS" - SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS) - - SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic. - SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic. - SECP_TRY_APPEND_CFLAGS([-Wall], $1) # GCC >= 2.95 and probably many other compilers - SECP_TRY_APPEND_CFLAGS([-Wno-unused-function], $1) # GCC >= 3.0, -Wunused-function is implied by -Wall. - SECP_TRY_APPEND_CFLAGS([-Wextra], $1) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions. - SECP_TRY_APPEND_CFLAGS([-Wcast-align], $1) # GCC >= 2.95 - SECP_TRY_APPEND_CFLAGS([-Wcast-align=strict], $1) # GCC >= 8.0 - SECP_TRY_APPEND_CFLAGS([-Wconditional-uninitialized], $1) # Clang >= 3.0 only - SECP_TRY_APPEND_CFLAGS([-fvisibility=hidden], $1) # GCC >= 4.0 - - CFLAGS="$SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS" + # GCC and compatible (incl. clang) + if test "x$GCC" = "xyes"; then + # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will + # not error out if it gets unknown warning flags and the checks here will always succeed + # no matter if clang knows the flag or not. + SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS" + SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS) + + SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic. + SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic. + SECP_TRY_APPEND_CFLAGS([-Wall], $1) # GCC >= 2.95 and probably many other compilers + SECP_TRY_APPEND_CFLAGS([-Wno-unused-function], $1) # GCC >= 3.0, -Wunused-function is implied by -Wall. + SECP_TRY_APPEND_CFLAGS([-Wextra], $1) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions. + SECP_TRY_APPEND_CFLAGS([-Wcast-align], $1) # GCC >= 2.95 + SECP_TRY_APPEND_CFLAGS([-Wcast-align=strict], $1) # GCC >= 8.0 + SECP_TRY_APPEND_CFLAGS([-Wconditional-uninitialized], $1) # Clang >= 3.0 only + SECP_TRY_APPEND_CFLAGS([-fvisibility=hidden], $1) # GCC >= 4.0 + + CFLAGS="$SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS" + fi + + # MSVC + # Assume MSVC if we're building for Windows but not with GCC or compatible; + # libtool makes the same assumption internally. + # Note that "/opt" and "-opt" are equivalent for MSVC; we use "-opt" because "/opt" looks like a path. + if test x"$GCC" != x"yes" && test x"$build_windows" = x"yes"; then + SECP_TRY_APPEND_CFLAGS([-W2 -wd4146], $1) # Moderate warning level, disable warning C4146 "unary minus operator applied to unsigned type, result still unsigned" + SECP_TRY_APPEND_CFLAGS([-external:anglebrackets -external:W0], $1) # Suppress warnings from #include <...> files + fi ]) SECP_TRY_APPEND_DEFAULT_CFLAGS(SECP_CFLAGS) @@ -141,27 +155,36 @@ AC_ARG_ENABLE(examples, [SECP_SET_DEFAULT([enable_examples], [no], [yes])]) AC_ARG_ENABLE(module_ecdh, - AS_HELP_STRING([--enable-module-ecdh],[enable ECDH module [default=no]]), [], - [SECP_SET_DEFAULT([enable_module_ecdh], [no], [yes])]) + AS_HELP_STRING([--enable-module-ecdh],[enable ECDH module [default=yes]]), [], + [SECP_SET_DEFAULT([enable_module_ecdh], [yes], [yes])]) AC_ARG_ENABLE(module_recovery, AS_HELP_STRING([--enable-module-recovery],[enable ECDSA pubkey recovery module [default=no]]), [], [SECP_SET_DEFAULT([enable_module_recovery], [no], [yes])]) AC_ARG_ENABLE(module_extrakeys, - AS_HELP_STRING([--enable-module-extrakeys],[enable extrakeys module [default=no]]), [], - [SECP_SET_DEFAULT([enable_module_extrakeys], [no], [yes])]) + AS_HELP_STRING([--enable-module-extrakeys],[enable extrakeys module [default=yes]]), [], + [SECP_SET_DEFAULT([enable_module_extrakeys], [yes], [yes])]) AC_ARG_ENABLE(module_schnorrsig, - AS_HELP_STRING([--enable-module-schnorrsig],[enable schnorrsig module [default=no]]), [], - [SECP_SET_DEFAULT([enable_module_schnorrsig], [no], [yes])]) + AS_HELP_STRING([--enable-module-schnorrsig],[enable schnorrsig module [default=yes]]), [], + [SECP_SET_DEFAULT([enable_module_schnorrsig], [yes], [yes])]) + +AC_ARG_ENABLE(module_ellswift, + AS_HELP_STRING([--enable-module-ellswift],[enable ElligatorSwift module (experimental)]), + [enable_module_ellswift=$enableval], + [enable_module_ellswift=no]) AC_ARG_ENABLE(external_default_callbacks, AS_HELP_STRING([--enable-external-default-callbacks],[enable external default callback functions [default=no]]), [], [SECP_SET_DEFAULT([enable_external_default_callbacks], [no], [no])]) # Test-only override of the (autodetected by the C code) "widemul" setting. -# Legal values are int64 (for [u]int64_t), int128 (for [unsigned] __int128), and auto (the default). +# Legal values are: +# * int64 (for [u]int64_t), +# * int128 (for [unsigned] __int128), +# * int128_struct (for int128 implemented as a structure), +# * and auto (the default). AC_ARG_WITH([test-override-wide-multiply], [] ,[set_widemul=$withval], [set_widemul=auto]) AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto], @@ -271,6 +294,9 @@ fi # Select wide multiplication implementation case $set_widemul in +int128_struct) + AC_DEFINE(USE_FORCE_WIDEMUL_INT128_STRUCT, 1, [Define this symbol to force the use of the structure for simulating (unsigned) int128 based wide multiplication]) + ;; int128) AC_DEFINE(USE_FORCE_WIDEMUL_INT128, 1, [Define this symbol to force the use of the (unsigned) __int128 based wide multiplication implementation]) ;; @@ -326,7 +352,9 @@ if test x"$enable_valgrind" = x"yes"; then SECP_INCLUDES="$SECP_INCLUDES $VALGRIND_CPPFLAGS" fi -# Add -Werror and similar flags passed from the outside (for testing, e.g., in CI) +# Add -Werror and similar flags passed from the outside (for testing, e.g., in CI). +# We don't want to set the user variable CFLAGS in CI because this would disable +# autoconf's logic for setting default CFLAGS, which we would like to test in CI. SECP_CFLAGS="$SECP_CFLAGS $WERROR_CFLAGS" ### @@ -346,6 +374,10 @@ if test x"$enable_module_schnorrsig" = x"yes"; then enable_module_extrakeys=yes fi +if test x"$enable_module_ellswift" = x"yes"; then + AC_DEFINE(ENABLE_MODULE_ELLSWIFT, 1, [Define this symbol to enable the ElligatorSwift module]) +fi + # Test if extrakeys is set after the schnorrsig module to allow the schnorrsig # module to set enable_module_extrakeys=yes if test x"$enable_module_extrakeys" = x"yes"; then @@ -391,6 +423,7 @@ AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_EXTRAKEYS], [test x"$enable_module_extrakeys" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_SCHNORRSIG], [test x"$enable_module_schnorrsig" = x"yes"]) +AM_CONDITIONAL([ENABLE_MODULE_ELLSWIFT], [test x"$enable_module_ellswift" = x"yes"]) AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$enable_external_asm" = x"yes"]) AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"]) AM_CONDITIONAL([BUILD_WINDOWS], [test "$build_windows" = "yes"]) @@ -411,6 +444,7 @@ echo " module ecdh = $enable_module_ecdh" echo " module recovery = $enable_module_recovery" echo " module extrakeys = $enable_module_extrakeys" echo " module schnorrsig = $enable_module_schnorrsig" +echo " module ellswift = $enable_module_ellswift" echo echo " asm = $set_asm" echo " ecmult window size = $set_ecmult_window" diff --git a/contrib/lax_der_privatekey_parsing.h b/contrib/lax_der_privatekey_parsing.h index 1a8ad8ae0c..3749e418fe 100644 --- a/contrib/lax_der_privatekey_parsing.h +++ b/contrib/lax_der_privatekey_parsing.h @@ -43,8 +43,7 @@ extern "C" { /** Export a private key in DER format. * * Returns: 1 if the private key was valid. - * Args: ctx: pointer to a context object, initialized for signing (cannot - * be NULL) + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: privkey: pointer to an array for storing the private key in BER. * Should have space for 279 bytes, and cannot be NULL. * privkeylen: Pointer to an int where the length of the private key in diff --git a/doc/CHANGELOG.md b/doc/CHANGELOG.md index 3c4c2e4583..1a738a5712 100644 --- a/doc/CHANGELOG.md +++ b/doc/CHANGELOG.md @@ -6,6 +6,16 @@ Each change falls into one of the following categories: Added, Changed, Deprecat ## [Unreleased] +### Changed + - Enable modules schnorrsig, extrakeys and ECDH by default in ./configure + +### Deprecated + - Deprecated context flags `SECP256K1_CONTEXT_VERIFY` and `SECP256K1_CONTEXT_SIGN`. Use `SECP256K1_CONTEXT_NONE` instead. + - Renamed `secp256k1_context_no_precomp` to `secp256k1_context_static`. + +### Added + - Added `secp256k1_selftest`, to be used in conjunction with `secp256k1_context_static`. + ## [MAJOR.MINOR.PATCH] - YYYY-MM-DD ### Added/Changed/Deprecated/Removed/Fixed/Security diff --git a/doc/safegcd_implementation.md b/doc/safegcd_implementation.md index 063aa8efae..1533999d29 100644 --- a/doc/safegcd_implementation.md +++ b/doc/safegcd_implementation.md @@ -1,7 +1,7 @@ # The safegcd implementation in libsecp256k1 explained -This document explains the modular inverse implementation in the `src/modinv*.h` files. It is based -on the paper +This document explains the modular inverse and Jacobi symbol implementations in the `src/modinv*.h` files. +It is based on the paper ["Fast constant-time gcd computation and modular inversion"](https://gcd.cr.yp.to/papers.html#safegcd) by Daniel J. Bernstein and Bo-Yin Yang. The references below are for the Date: 2019.04.13 version. @@ -769,3 +769,30 @@ def modinv_var(M, Mi, x): d, e = update_de(d, e, t, M, Mi) return normalize(f, d, Mi) ``` + +## 8. From GCDs to Jacobi symbol + +We can also use a similar approach to calculate Jacobi symbol *(x | M)* by keeping track of an extra variable *j*, for which at every step *(x | M) = j (g | f)*. As we update *f* and *g*, we make corresponding updates to *j* using [properties of the Jacobi symbol](https://en.wikipedia.org/wiki/Jacobi_symbol#Properties). In particular, we update *j* whenever we divide *g* by *2* or swap *f* and *g*; these updates depend only on the values of *f* and *g* modulo *4* or *8*, and can thus be applied very quickly. Overall, this calculation is slightly simpler than the one for modular inverse because we no longer need to keep track of *d* and *e*. + +However, one difficulty of this approach is that the Jacobi symbol *(a | n)* is only defined for positive odd integers *n*, whereas in the original safegcd algorithm, *f, g* can take negative values. We resolve this by using the following modified steps: + +```python + # Before + if delta > 0 and g & 1: + delta, f, g = 1 - delta, g, (g - f) // 2 + + # After + if delta > 0 and g & 1: + delta, f, g = 1 - delta, g, (g + f) // 2 +``` + +The algorithm is still correct, since the changed divstep, called a "posdivstep" (see section 8.4 and E.5 in the paper) preserves *gcd(f, g)*. However, there's no proof that the modified algorithm will converge. The justification for posdivsteps is completely empirical: in practice, it appears that the vast majority of inputs converge to *f=g=gcd(f0, g0)* in a number of steps proportional to their logarithm. + +Note that: +- We require inputs to satisfy *gcd(x, M) = 1*. +- We need to update the termination condition from *g=0* to *f=1*. +- We deal with the case where *g=0* on input specially. + +We account for the possibility of nonconvergence by only performing a bounded number of posdivsteps, and then falling back to square-root based Jacobi calculation if a solution has not yet been found. + +The optimizations in sections 3-7 above are described in the context of the original divsteps, but in the C implementation we also adapt most of them (not including "avoiding modulus operations", since it's not necessary to track *d, e*, and "constant-time operation", since we never calculate Jacobi symbols for secret data) to the posdivsteps version. diff --git a/examples/ecdh.c b/examples/ecdh.c index d7e8add361..027d52fd5f 100644 --- a/examples/ecdh.c +++ b/examples/ecdh.c @@ -30,12 +30,8 @@ int main(void) { secp256k1_pubkey pubkey1; secp256k1_pubkey pubkey2; - /* The specification in secp256k1.h states that `secp256k1_ec_pubkey_create` - * needs a context object initialized for signing, which is why we create - * a context with the SECP256K1_CONTEXT_SIGN flag. - * (The docs for `secp256k1_ecdh` don't require any special context, just - * some initialized context) */ - secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); + /* Before we can call actual API functions, we need to create a "context". */ + secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); return 1; diff --git a/examples/ecdsa.c b/examples/ecdsa.c index 434c856ba0..7e4f1b13ac 100644 --- a/examples/ecdsa.c +++ b/examples/ecdsa.c @@ -38,12 +38,8 @@ int main(void) { int return_val; secp256k1_pubkey pubkey; secp256k1_ecdsa_signature sig; - /* The specification in secp256k1.h states that `secp256k1_ec_pubkey_create` needs - * a context object initialized for signing and `secp256k1_ecdsa_verify` needs - * a context initialized for verification, which is why we create a context - * for both signing and verification with the SECP256K1_CONTEXT_SIGN and - * SECP256K1_CONTEXT_VERIFY flags. */ - secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + /* Before we can call actual API functions, we need to create a "context". */ + secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); return 1; diff --git a/examples/schnorr.c b/examples/schnorr.c index 82eb07d5d7..207c45c422 100644 --- a/examples/schnorr.c +++ b/examples/schnorr.c @@ -30,12 +30,8 @@ int main(void) { int return_val; secp256k1_xonly_pubkey pubkey; secp256k1_keypair keypair; - /* The specification in secp256k1_extrakeys.h states that `secp256k1_keypair_create` - * needs a context object initialized for signing. And in secp256k1_schnorrsig.h - * they state that `secp256k1_schnorrsig_verify` needs a context initialized for - * verification, which is why we create a context for both signing and verification - * with the SECP256K1_CONTEXT_SIGN and SECP256K1_CONTEXT_VERIFY flags. */ - secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + /* Before we can call actual API functions, we need to create a "context". */ + secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (!fill_random(randomize, sizeof(randomize))) { printf("Failed to generate randomness\n"); return 1; diff --git a/include/secp256k1.h b/include/secp256k1.h index dddab346ae..826ab75850 100644 --- a/include/secp256k1.h +++ b/include/secp256k1.h @@ -7,7 +7,7 @@ extern "C" { #include -/* Unless explicitly stated all pointer arguments must not be NULL. +/** Unless explicitly stated all pointer arguments must not be NULL. * * The following rules specify the order of arguments in API calls: * @@ -24,15 +24,19 @@ extern "C" { * 5. Opaque data pointers follow the function pointer they are to be passed to. */ -/** Opaque data structure that holds context information (precomputed tables etc.). +/** Opaque data structure that holds context information * - * The purpose of context structures is to cache large precomputed data tables - * that are expensive to construct, and also to maintain the randomization data - * for blinding. + * The primary purpose of context objects is to store randomization data for + * enhanced protection against side-channel leakage. This protection is only + * effective if the context is randomized after its creation. See + * secp256k1_context_create for creation of contexts and + * secp256k1_context_randomize for randomization. * - * Do not create a new context object for each operation, as construction is - * far slower than all other API calls (~100 times slower than an ECDSA - * verification). + * A secondary purpose of context objects is to store pointers to callback + * functions that the library will call when certain error states arise. See + * secp256k1_context_set_error_callback as well as + * secp256k1_context_set_illegal_callback for details. Future library versions + * may use context objects for additional purposes. * * A constructed context can safely be used from multiple threads * simultaneously, but API calls that take a non-const pointer to a context @@ -45,7 +49,7 @@ extern "C" { */ typedef struct secp256k1_context_struct secp256k1_context; -/** Opaque data structure that holds rewriteable "scratch space" +/** Opaque data structure that holds rewritable "scratch space" * * The purpose of this structure is to replace dynamic memory allocations, * because we target architectures where this may not be available. It is @@ -130,7 +134,7 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_INLINE inline # endif -/** When this header is used at build-time the SECP256K1_BUILD define needs to be set +/* When this header is used at build-time the SECP256K1_BUILD define needs to be set * to correctly setup export attributes and nullness checks. This is normally done * by secp256k1.c but to guard against this header being included before secp256k1.c * has had a chance to set the define (e.g. via test harnesses that just includes @@ -159,9 +163,9 @@ typedef int (*secp256k1_nonce_function)( # endif #endif -/**Warning attributes - * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out - * some paranoid null checks. */ +/* Warning attributes + * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out + * some paranoid null checks. */ # if defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4) # define SECP256K1_WARN_UNUSED_RESULT __attribute__ ((__warn_unused_result__)) # else @@ -173,7 +177,7 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_ARG_NONNULL(_x) # endif -/** Attribute for marking functions, types, and variables as deprecated */ +/* Attribute for marking functions, types, and variables as deprecated */ #if !defined(SECP256K1_BUILD) && defined(__has_attribute) # if __has_attribute(__deprecated__) # define SECP256K1_DEPRECATED(_msg) __attribute__ ((__deprecated__(_msg))) @@ -184,22 +188,26 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_DEPRECATED(_msg) #endif -/** All flags' lower 8 bits indicate what they're for. Do not use directly. */ +/* All flags' lower 8 bits indicate what they're for. Do not use directly. */ #define SECP256K1_FLAGS_TYPE_MASK ((1 << 8) - 1) #define SECP256K1_FLAGS_TYPE_CONTEXT (1 << 0) #define SECP256K1_FLAGS_TYPE_COMPRESSION (1 << 1) -/** The higher bits contain the actual data. Do not use directly. */ +/* The higher bits contain the actual data. Do not use directly. */ #define SECP256K1_FLAGS_BIT_CONTEXT_VERIFY (1 << 8) #define SECP256K1_FLAGS_BIT_CONTEXT_SIGN (1 << 9) #define SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY (1 << 10) #define SECP256K1_FLAGS_BIT_COMPRESSION (1 << 8) -/** Flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and +/** Context flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and * secp256k1_context_preallocated_create. */ +#define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT) + +/** Deprecated context flags. These flags are treated equivalent to SECP256K1_CONTEXT_NONE. */ #define SECP256K1_CONTEXT_VERIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) #define SECP256K1_CONTEXT_SIGN (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_SIGN) + +/* Testing flag. Do not use. */ #define SECP256K1_CONTEXT_DECLASSIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY) -#define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT) /** Flag to pass to secp256k1_ec_pubkey_serialize. */ #define SECP256K1_EC_COMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION | SECP256K1_FLAGS_BIT_COMPRESSION) @@ -212,23 +220,66 @@ typedef int (*secp256k1_nonce_function)( #define SECP256K1_TAG_PUBKEY_HYBRID_EVEN 0x06 #define SECP256K1_TAG_PUBKEY_HYBRID_ODD 0x07 -/** A simple secp256k1 context object with no precomputed tables. These are useful for - * type serialization/parsing functions which require a context object to maintain - * API consistency, but currently do not require expensive precomputations or dynamic - * allocations. +/** A built-in constant secp256k1 context object with static storage duration, to be + * used in conjunction with secp256k1_selftest. + * + * This context object offers *only limited functionality* , i.e., it cannot be used + * for API functions that perform computations involving secret keys, e.g., signing + * and public key generation. If this restriction applies to a specific API function, + * it is mentioned in its documentation. See secp256k1_context_create if you need a + * full context object that supports all functionality offered by the library. + * + * It is highly recommended to call secp256k1_selftest before using this context. + */ +SECP256K1_API extern const secp256k1_context *secp256k1_context_static; + +/** Deprecated alias for secp256k1_context_static. */ +SECP256K1_API extern const secp256k1_context *secp256k1_context_no_precomp +SECP256K1_DEPRECATED("Use secp256k1_context_static instead"); + +/** Perform basic self tests (to be used in conjunction with secp256k1_context_static) + * + * This function performs self tests that detect some serious usage errors and + * similar conditions, e.g., when the library is compiled for the wrong endianness. + * This is a last resort measure to be used in production. The performed tests are + * very rudimentary and are not intended as a replacement for running the test + * binaries. + * + * It is highly recommended to call this before using secp256k1_context_static. + * It is not necessary to call this function before using a context created with + * secp256k1_context_create (or secp256k1_context_preallocated_create), which will + * take care of performing the self tests. + * + * If the tests fail, this function will call the default error handler to abort the + * program (see secp256k1_context_set_error_callback). */ -SECP256K1_API extern const secp256k1_context *secp256k1_context_no_precomp; +SECP256K1_API void secp256k1_selftest(void); + /** Create a secp256k1 context object (in dynamically allocated memory). * * This function uses malloc to allocate memory. It is guaranteed that malloc is * called at most once for every call of this function. If you need to avoid dynamic - * memory allocation entirely, see the functions in secp256k1_preallocated.h. + * memory allocation entirely, see secp256k1_context_static and the functions in + * secp256k1_preallocated.h. * * Returns: a newly created context object. - * In: flags: which parts of the context to initialize. + * In: flags: Always set to SECP256K1_CONTEXT_NONE (see below). + * + * The only valid non-deprecated flag in recent library versions is + * SECP256K1_CONTEXT_NONE, which will create a context sufficient for all functionality + * offered by the library. All other (deprecated) flags will be treated as equivalent + * to the SECP256K1_CONTEXT_NONE flag. Though the flags parameter primarily exists for + * historical reasons, future versions of the library may introduce new flags. * - * See also secp256k1_context_randomize. + * If the context is intended to be used for API functions that perform computations + * involving secret keys, e.g., signing and public key generation, then it is highly + * recommended to call secp256k1_context_randomize on the context before calling + * those API functions. This will provide enhanced protection against side-channel + * leakage, see secp256k1_context_randomize for details. + * + * Do not create a new context object for each operation, as construction and + * randomization can take non-negligible time. */ SECP256K1_API secp256k1_context* secp256k1_context_create( unsigned int flags @@ -308,7 +359,10 @@ SECP256K1_API void secp256k1_context_set_illegal_callback( ) SECP256K1_ARG_NONNULL(1); /** Set a callback function to be called when an internal consistency check - * fails. The default is crashing. + * fails. + * + * The default callback writes an error message to stderr and calls abort + * to abort the program. * * This can only trigger in case of a hardware failure, miscompilation, * memory corruption, serious bug in the library, or other error would can @@ -426,8 +480,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp( * encoding is invalid. R and S with value 0 are allowed in the encoding. * * After the call, sig will always be initialized. If parsing failed or R or - * S are zero, the resulting sig value is guaranteed to fail validation for any - * message and public key. + * S are zero, the resulting sig value is guaranteed to fail verification for + * any message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( const secp256k1_context* ctx, @@ -447,7 +501,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( * encoded numbers are out of range. * * After the call, sig will always be initialized. If parsing failed or the - * encoded numbers are out of range, signature validation with it is + * encoded numbers are out of range, signature verification with it is * guaranteed to fail for every message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( @@ -494,7 +548,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( * * Returns: 1: correct signature * 0: incorrect or unparseable signature - * Args: ctx: a secp256k1 context object, initialized for verification. + * Args: ctx: a secp256k1 context object. * In: sig: the signature being verified. * msghash32: the 32-byte message hash being verified. * The verifier must make sure to apply a cryptographic @@ -511,7 +565,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( * * If you need to accept ECDSA signatures from sources that do not obey this * rule, apply secp256k1_ecdsa_signature_normalize to the signature prior to - * validation, but be aware that doing so results in malleable signatures. + * verification, but be aware that doing so results in malleable signatures. * * For details, see the comments for that function. */ @@ -582,7 +636,7 @@ SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_def * * Returns: 1: signature created * 0: the nonce generation function failed, or the secret key was invalid. - * Args: ctx: pointer to a context object, initialized for signing. + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: sig: pointer to an array where the signature will be placed. * In: msghash32: the 32-byte message hash being signed. * seckey: pointer to a 32-byte secret key. @@ -626,7 +680,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify( * * Returns: 1: secret was valid, public key stores. * 0: secret was invalid, try again. - * Args: ctx: pointer to a context object, initialized for signing. + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: pubkey: pointer to the created public key. * In: seckey: pointer to a 32-byte secret key. */ @@ -705,7 +759,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add( * Returns: 0 if the arguments are invalid or the resulting public key would be * invalid (only when the tweak is the negation of the corresponding * secret key). 1 otherwise. - * Args: ctx: pointer to a context object initialized for validation. + * Args: ctx: pointer to a context object. * In/Out: pubkey: pointer to a public key object. pubkey will be set to an * invalid value if this function returns 0. * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to @@ -750,7 +804,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul( /** Tweak a public key by multiplying it by a tweak value. * * Returns: 0 if the arguments are invalid. 1 otherwise. - * Args: ctx: pointer to a context object initialized for validation. + * Args: ctx: pointer to a context object. * In/Out: pubkey: pointer to a public key object. pubkey will be set to an * invalid value if this function returns 0. * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to @@ -764,30 +818,41 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul( const unsigned char *tweak32 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Updates the context randomization to protect against side-channel leakage. - * Returns: 1: randomization successfully updated or nothing to randomize +/** Randomizes the context to provide enhanced protection against side-channel leakage. + * + * Returns: 1: randomization successful (or called on copy of secp256k1_context_static) * 0: error * Args: ctx: pointer to a context object. * In: seed32: pointer to a 32-byte random seed (NULL resets to initial state) * - * While secp256k1 code is written to be constant-time no matter what secret - * values are, it's possible that a future compiler may output code which isn't, + * While secp256k1 code is written and tested to be constant-time no matter what + * secret values are, it is possible that a compiler may output code which is not, * and also that the CPU may not emit the same radio frequencies or draw the same - * amount power for all values. - * - * This function provides a seed which is combined into the blinding value: that - * blinding value is added before each multiplication (and removed afterwards) so - * that it does not affect function results, but shields against attacks which - * rely on any input-dependent behaviour. - * - * This function has currently an effect only on contexts initialized for signing - * because randomization is currently used only for signing. However, this is not - * guaranteed and may change in the future. It is safe to call this function on - * contexts not initialized for signing; then it will have no effect and return 1. - * - * You should call this after secp256k1_context_create or - * secp256k1_context_clone (and secp256k1_context_preallocated_create or - * secp256k1_context_clone, resp.), and you may call this repeatedly afterwards. + * amount of power for all values. Randomization of the context shields against + * side-channel observations which aim to exploit secret-dependent behaviour in + * certain computations which involve secret keys. + * + * It is highly recommended to call this function on contexts returned from + * secp256k1_context_create or secp256k1_context_clone (or from the corresponding + * functions in secp256k1_preallocated.h) before using these contexts to call API + * functions that perform computations involving secret keys, e.g., signing and + * public key generation. It is possible to call this function more than once on + * the same context, and doing so before every few computations involving secret + * keys is recommended as a defense-in-depth measure. + * + * Currently, the random seed is mainly used for blinding multiplications of a + * secret scalar with the elliptic curve base point. Multiplications of this + * kind are performed by exactly those API functions which are documented to + * require a context that is not the secp256k1_context_static. As a rule of thumb, + * these are all functions which take a secret key (or a keypair) as an input. + * A notable exception to that rule is the ECDH module, which relies on a different + * kind of elliptic curve point multiplication and thus does not benefit from + * enhanced protection against side-channel leakage currently. + * + * It is safe call this function on a copy of secp256k1_context_static in writable + * memory (e.g., obtained via secp256k1_context_clone). In that case, this + * function is guaranteed to return 1, but the call will have no effect because + * the static context (or a copy thereof) is not meant to be randomized. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize( secp256k1_context* ctx, diff --git a/include/secp256k1_ellswift.h b/include/secp256k1_ellswift.h new file mode 100644 index 0000000000..995402cf97 --- /dev/null +++ b/include/secp256k1_ellswift.h @@ -0,0 +1,170 @@ +#ifndef SECP256K1_ELLSWIFT_H +#define SECP256K1_ELLSWIFT_H + +#include "secp256k1.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* This module provides an implementation of ElligatorSwift as well as + * a version of x-only ECDH using it. + * + * ElligatorSwift is described in https://eprint.iacr.org/2022/759 by + * Chavez-Saab, Rodriguez-Henriquez, and Tibouchi. It permits encoding + * public keys in 64-byte objects which are indistinguishable from + * uniformly random. + * + * Let f be the function from pairs of field elements to point X coordinates, + * defined as follows (all operations modulo p = 2^256 - 2^32 - 977) + * f(u,t): + * - Let C = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852, + * a square root of -3. + * - If u=0, set u=1 instead. + * - If t=0, set t=1 instead. + * - If u^3 + t^2 + 7 = 0, multiply t by 2. + * - Let X = (u^3 + 7 - t^2) / (2 * t) + * - Let Y = (X + t) / (C * u) + * - Return the first of [u + 4 * Y^2, (-X/Y - u) / 2, (X/Y - u) / 2] that is an + * X coordinate on the curve (at least one of them is, for any inputs u and t). + * + * Then an ElligatorSwift encoding of x consists of the 32-byte big-endian + * encodings of field elements u and t concatenated, where f(u,t) = x. + * The encoding algorithm is described in the paper, and effectively picks a + * uniformly random pair (u,t) among those which encode x. + * + * If the Y coordinate is relevant, it is given the same parity as t. + * + * Changes w.r.t. the the paper: + * - The u=0, t=0, and u^3+t^2+7=0 conditions result in decoding to the point + * at infinity in the paper. Here they are remapped to finite points. + * - The paper uses an additional encoding bit for the parity of y. Here the + * parity of t is used (negating t does not affect the decoded x coordinate, + * so this is possible). + */ + +/** A pointer to a function used for hashing the shared X coordinate along + * with the encoded public keys to a uniform shared secret. + * + * Returns: 1 if a shared secret was was successfully computed. + * 0 will cause secp256k1_ellswift_xdh to fail and return 0. + * Other return values are not allowed, and the behaviour of + * secp256k1_ellswift_xdh is undefined for other return values. + * Out: output: pointer to an array to be filled by the function + * In: x32: pointer to the 32-byte serialized X coordinate + * of the resulting shared point + * ours64: pointer to the 64-byte encoded public key we sent + * to the other party + * theirs64: pointer to the 64-byte encoded public key we received + * from the other party + * data: arbitrary data pointer that is passed through + */ +typedef int (*secp256k1_ellswift_xdh_hash_function)( + unsigned char *output, + const unsigned char *x32, + const unsigned char *ours64, + const unsigned char *theirs64, + void *data +); + +/** An implementation of an secp256k1_ellswift_xdh_hash_function which uses + * SHA256(key1 || key2 || x32), where (key1, key2) = sorted([ours64, theirs64]), and + * ignores data. The sorting is lexicographic. */ +SECP256K1_API extern const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_sha256; + +/** A default secp256k1_ellswift_xdh_hash_function, currently secp256k1_ellswift_xdh_hash_function_sha256. */ +SECP256K1_API extern const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_default; + +/* Construct a 64-byte ElligatorSwift encoding of a given pubkey. + * + * Returns: 1 when pubkey is valid. + * Args: ctx: pointer to a context object + * Out: ell64: pointer to a 64-byte array to be filled + * In: pubkey: a pointer to a secp256k1_pubkey containing an + * initialized public key + * rnd32: pointer to 32 bytes of entropy (must be unpredictable) + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_encode( + const secp256k1_context* ctx, + unsigned char *ell64, + const secp256k1_pubkey *pubkey, + const unsigned char *rnd32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Decode a 64-bytes ElligatorSwift encoded public key. + * + * Returns: always 1 + * Args: ctx: pointer to a context object + * Out: pubkey: pointer to a secp256k1_pubkey that will be filled + * In: ell64: pointer to a 64-byte array to decode + * + * This function runs in variable time. + */ +SECP256K1_API int secp256k1_ellswift_decode( + const secp256k1_context* ctx, + secp256k1_pubkey *pubkey, + const unsigned char *ell64 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Compute an ElligatorSwift public key for a secret key. + * + * Returns: 1: secret was valid, public key was stored. + * 0: secret was invalid, try again. + * Args: ctx: pointer to a context object, initialized for signing. + * Out: ell64: pointer to a 64-byte area to receive the ElligatorSwift public key + * In: seckey32: pointer to a 32-byte secret key. + * auxrand32: (optional) pointer to 32 bytes of additional randomness + * + * Constant time in seckey and auxrand32, but not in the resulting public key. + * + * This function can be used instead of calling secp256k1_ec_pubkey_create followed + * by secp256k1_ellswift_encode. It is safer, as it can use the secret key as + * entropy for the encoding. That means that if the secret key itself is + * unpredictable, no additional auxrand32 is needed to achieve indistinguishability + * of the encoding. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_create( + const secp256k1_context* ctx, + unsigned char *ell64, + const unsigned char *seckey32, + const unsigned char *auxrand32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +/** Given a private key, and ElligatorSwift public keys sent in both directions, + * compute a shared secret using x-only Diffie-Hellman. + * + * Returns: 1: shared secret was succesfully computed + * 0: secret was invalid or hashfp returned 0 + * Args: ctx: pointer to a context object. + * Out: output: pointer to an array to be filled by hashfp. + * In: theirs64: a pointer to the 64-byte ElligatorSwift public key received from the other party. + * ours64: a pointer to the 64-byte ElligatorSwift public key sent to the other party. + * seckey32: a pointer to the 32-byte private key corresponding to ours64. + * hashfp: pointer to a hash function. If NULL, + * secp256k1_elswift_xdh_hash_function_default is used + * (in which case, 32 bytes will be written to output). + * data: arbitrary data pointer that is passed through to hashfp + * (ignored for secp256k1_ellswift_xdh_hash_function_default). + * + * Constant time in seckey32. + * + * This function is more efficient than decoding the public keys, and performing ECDH on them. + */ +SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ellswift_xdh( + const secp256k1_context* ctx, + unsigned char *output, + const unsigned char* theirs64, + const unsigned char* ours64, + const unsigned char* seckey32, + secp256k1_ellswift_xdh_hash_function hashfp, + void *data +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5); + + +#ifdef __cplusplus +} +#endif + +#endif /* SECP256K1_ELLSWIFT_H */ diff --git a/include/secp256k1_extrakeys.h b/include/secp256k1_extrakeys.h index 09cbeaaa80..3591bc0012 100644 --- a/include/secp256k1_extrakeys.h +++ b/include/secp256k1_extrakeys.h @@ -108,7 +108,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubke * invalid (only when the tweak is the negation of the corresponding * secret key). 1 otherwise. * - * Args: ctx: pointer to a context object initialized for verification. + * Args: ctx: pointer to a context object. * Out: output_pubkey: pointer to a public key to store the result. Will be set * to an invalid value if this function returns 0. * In: internal_pubkey: pointer to an x-only pubkey to apply the tweak to. @@ -137,7 +137,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add( * * Returns: 0 if the arguments are invalid or the tweaked pubkey is not the * result of tweaking the internal_pubkey with tweak32. 1 otherwise. - * Args: ctx: pointer to a context object initialized for verification. + * Args: ctx: pointer to a context object. * In: tweaked_pubkey32: pointer to a serialized xonly_pubkey. * tweaked_pk_parity: the parity of the tweaked pubkey (whose serialization * is passed in as tweaked_pubkey32). This must match the @@ -159,7 +159,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_ * * Returns: 1: secret was valid, keypair is ready to use * 0: secret was invalid, try again with a different secret - * Args: ctx: pointer to a context object, initialized for signing. + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: keypair: pointer to the created keypair. * In: seckey: pointer to a 32-byte secret key. */ @@ -228,7 +228,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub( * invalid (only when the tweak is the negation of the keypair's * secret key). 1 otherwise. * - * Args: ctx: pointer to a context object initialized for verification. + * Args: ctx: pointer to a context object. * In/Out: keypair: pointer to a keypair to apply the tweak to. Will be set to * an invalid value if this function returns 0. * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according diff --git a/include/secp256k1_preallocated.h b/include/secp256k1_preallocated.h index d2d9014f02..ed846f75f9 100644 --- a/include/secp256k1_preallocated.h +++ b/include/secp256k1_preallocated.h @@ -58,6 +58,8 @@ SECP256K1_API size_t secp256k1_context_preallocated_size( * bytes, as detailed above. * flags: which parts of the context to initialize. * + * See secp256k1_context_create (in secp256k1.h) for further details. + * * See also secp256k1_context_randomize (in secp256k1.h) * and secp256k1_context_preallocated_destroy. */ diff --git a/include/secp256k1_recovery.h b/include/secp256k1_recovery.h index 0e2847db96..824c604025 100644 --- a/include/secp256k1_recovery.h +++ b/include/secp256k1_recovery.h @@ -72,7 +72,7 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact( * * Returns: 1: signature created * 0: the nonce generation function failed, or the secret key was invalid. - * Args: ctx: pointer to a context object, initialized for signing. + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: sig: pointer to an array where the signature will be placed. * In: msghash32: the 32-byte message hash being signed. * seckey: pointer to a 32-byte secret key. @@ -94,7 +94,7 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable( * * Returns: 1: public key successfully recovered (which guarantees a correct signature). * 0: otherwise. - * Args: ctx: pointer to a context object, initialized for verification. + * Args: ctx: pointer to a context object. * Out: pubkey: pointer to the recovered public key. * In: sig: pointer to initialized signature that supports pubkey recovery. * msghash32: the 32-byte message hash assumed to be signed. diff --git a/include/secp256k1_schnorrsig.h b/include/secp256k1_schnorrsig.h index 5fedcb07b0..e579e1b1d8 100644 --- a/include/secp256k1_schnorrsig.h +++ b/include/secp256k1_schnorrsig.h @@ -106,7 +106,7 @@ typedef struct { * signatures from being valid in multiple contexts by accident. * * Returns 1 on success, 0 on failure. - * Args: ctx: pointer to a context object, initialized for signing. + * Args: ctx: pointer to a context object (not secp256k1_context_static). * Out: sig64: pointer to a 64-byte array to store the serialized signature. * In: msg32: the 32-byte message being signed. * keypair: pointer to an initialized keypair. @@ -161,7 +161,7 @@ SECP256K1_API int secp256k1_schnorrsig_sign_custom( * * Returns: 1: correct signature * 0: incorrect signature - * Args: ctx: a secp256k1 context object, initialized for verification. + * Args: ctx: a secp256k1 context object. * In: sig64: pointer to the 64-byte signature to verify. * msg: the message being verified. Can only be NULL if msglen is 0. * msglen: length of the message diff --git a/src/assumptions.h b/src/assumptions.h index 6dc527b288..8ed04209e9 100644 --- a/src/assumptions.h +++ b/src/assumptions.h @@ -10,6 +10,9 @@ #include #include "util.h" +#if defined(SECP256K1_INT128_NATIVE) +#include "int128_native.h" +#endif /* This library, like most software, relies on a number of compiler implementation defined (but not undefined) behaviours. Although the behaviours we require are essentially universal we test them specifically here to @@ -55,7 +58,7 @@ struct secp256k1_assumption_checker { /* To int64_t. */ ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) && -#if defined(SECP256K1_WIDEMUL_INT128) +#if defined(SECP256K1_INT128_NATIVE) ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) && (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) && (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) && @@ -71,7 +74,7 @@ struct secp256k1_assumption_checker { ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) && ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) && ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) && -#if defined(SECP256K1_WIDEMUL_INT128) +#if defined(SECP256K1_INT128_NATIVE) ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) && #endif 1) * 2 - 1]; diff --git a/src/basic-config.h b/src/basic-config.h deleted file mode 100644 index 6f7693cb8f..0000000000 --- a/src/basic-config.h +++ /dev/null @@ -1,17 +0,0 @@ -/*********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or https://www.opensource.org/licenses/mit-license.php.* - ***********************************************************************/ - -#ifndef SECP256K1_BASIC_CONFIG_H -#define SECP256K1_BASIC_CONFIG_H - -#ifdef USE_BASIC_CONFIG - -#define ECMULT_WINDOW_SIZE 15 -#define ECMULT_GEN_PREC_BITS 4 - -#endif /* USE_BASIC_CONFIG */ - -#endif /* SECP256K1_BASIC_CONFIG_H */ diff --git a/src/bench.c b/src/bench.c index d5937b763f..6aaa2ee513 100644 --- a/src/bench.c +++ b/src/bench.c @@ -121,6 +121,22 @@ static void bench_sign_run(void* arg, int iters) { } } +static void bench_keygen_run(void* arg, int iters) { + int i; + bench_sign_data *data = (bench_sign_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char pub33[33]; + size_t len = 33; + secp256k1_pubkey pubkey; + CHECK(secp256k1_ec_pubkey_create(data->ctx, &pubkey, data->key)); + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, pub33, &len, &pubkey, SECP256K1_EC_COMPRESSED)); + memcpy(data->key, pub33 + 1, 32); + data->key[17] ^= i; + } +} + + #ifdef ENABLE_MODULE_ECDH # include "modules/ecdh/bench_impl.h" #endif @@ -133,6 +149,10 @@ static void bench_sign_run(void* arg, int iters) { # include "modules/schnorrsig/bench_impl.h" #endif +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/bench_impl.h" +#endif + int main(int argc, char** argv) { int i; secp256k1_pubkey pubkey; @@ -145,7 +165,9 @@ int main(int argc, char** argv) { /* Check for invalid user arguments */ char* valid_args[] = {"ecdsa", "verify", "ecdsa_verify", "sign", "ecdsa_sign", "ecdh", "recover", - "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign"}; + "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign", "ec", + "keygen", "ec_keygen", "ellswift", "encode", "ellswift_encode", "decode", + "ellswift_decode", "ellswift_keygen", "ellswift_ecdh"}; size_t valid_args_size = sizeof(valid_args)/sizeof(valid_args[0]); int invalid_args = have_invalid_args(argc, argv, valid_args, valid_args_size); @@ -164,7 +186,7 @@ int main(int argc, char** argv) { /* Check if the user tries to benchmark optional module without building it */ #ifndef ENABLE_MODULE_ECDH - if (have_flag(argc, argv, "ecdh")) { + if (have_flag(argc, argv, "ecdh")) { fprintf(stderr, "./bench: ECDH module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-ecdh.\n\n"); return 1; @@ -172,7 +194,7 @@ int main(int argc, char** argv) { #endif #ifndef ENABLE_MODULE_RECOVERY - if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) { + if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) { fprintf(stderr, "./bench: Public key recovery module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-recovery.\n\n"); return 1; @@ -180,15 +202,15 @@ int main(int argc, char** argv) { #endif #ifndef ENABLE_MODULE_SCHNORRSIG - if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) { + if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) { fprintf(stderr, "./bench: Schnorr signatures module not enabled.\n"); fprintf(stderr, "Use ./configure --enable-module-schnorrsig.\n\n"); return 1; } #endif - /* ECDSA verification benchmark */ - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + /* ECDSA benchmark */ + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); for (i = 0; i < 32; i++) { data.msg[i] = 1 + i; @@ -206,12 +228,8 @@ int main(int argc, char** argv) { print_output_table_header_row(); if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "ecdsa_verify")) run_benchmark("ecdsa_verify", bench_verify, NULL, NULL, &data, 10, iters); - secp256k1_context_destroy(data.ctx); - - /* ECDSA signing benchmark */ - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "ecdsa_sign")) run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ec") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ec_keygen")) run_benchmark("ec_keygen", bench_keygen_run, bench_sign_setup, NULL, &data, 10, iters); secp256k1_context_destroy(data.ctx); @@ -230,5 +248,10 @@ int main(int argc, char** argv) { run_schnorrsig_bench(iters, argc, argv); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + /* ElligatorSwift benchmarks */ + run_ellswift_bench(iters, argc, argv); +#endif + return 0; } diff --git a/src/bench.h b/src/bench.h index aa275fe919..611ba11f04 100644 --- a/src/bench.h +++ b/src/bench.h @@ -7,15 +7,31 @@ #ifndef SECP256K1_BENCH_H #define SECP256K1_BENCH_H +#include #include #include #include -#include "sys/time.h" + +#if (defined(_MSC_VER) && _MSC_VER >= 1900) +# include +#else +# include "sys/time.h" +#endif static int64_t gettime_i64(void) { +#if (defined(_MSC_VER) && _MSC_VER >= 1900) + /* C11 way to get wallclock time */ + struct timespec tv; + if (!timespec_get(&tv, TIME_UTC)) { + fputs("timespec_get failed!", stderr); + exit(1); + } + return (int64_t)tv.tv_nsec / 1000 + (int64_t)tv.tv_sec * 1000000LL; +#else struct timeval tv; gettimeofday(&tv, NULL); return (int64_t)tv.tv_usec + (int64_t)tv.tv_sec * 1000000LL; +#endif } #define FP_EXP (6) diff --git a/src/bench_ecmult.c b/src/bench_ecmult.c index 4030e0263f..9d0db340e1 100644 --- a/src/bench_ecmult.c +++ b/src/bench_ecmult.c @@ -84,9 +84,7 @@ static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset } } secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &tmp, &sum_scalars); - secp256k1_gej_neg(&tmp, &tmp); - secp256k1_gej_add_var(&tmp, &tmp, &sum_output, NULL); - CHECK(secp256k1_gej_is_infinity(&tmp)); + CHECK(secp256k1_gej_eq_var(&tmp, &sum_output)); } static void bench_ecmult_setup(void* arg) { @@ -308,7 +306,7 @@ int main(int argc, char **argv) { } } - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16; if (!have_flag(argc, argv, "simple")) { data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size); diff --git a/src/bench_internal.c b/src/bench_internal.c index 7eb3af28d7..811025748a 100644 --- a/src/bench_internal.c +++ b/src/bench_internal.c @@ -218,6 +218,19 @@ void bench_field_sqrt(void* arg, int iters) { CHECK(j <= iters); } +void bench_field_jacobi_var(void* arg, int iters) { + int i, j = 0; + bench_inv *data = (bench_inv*)arg; + secp256k1_fe t = data->fe[0]; + + for (i = 0; i < iters; i++) { + j += secp256k1_fe_jacobi_var(&t); + secp256k1_fe_add(&t, &data->fe[1]); + secp256k1_fe_normalize_var(&t); + } + CHECK(j <= iters); +} + void bench_group_double_var(void* arg, int iters) { int i; bench_inv *data = (bench_inv*)arg; @@ -343,19 +356,11 @@ void bench_rfc6979_hmac_sha256(void* arg, int iters) { } } -void bench_context_verify(void* arg, int iters) { - int i; - (void)arg; - for (i = 0; i < iters; i++) { - secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_VERIFY)); - } -} - -void bench_context_sign(void* arg, int iters) { +void bench_context(void* arg, int iters) { int i; (void)arg; for (i = 0; i < iters; i++) { - secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_SIGN)); + secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_NONE)); } } @@ -379,6 +384,7 @@ int main(int argc, char **argv) { if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, iters*10); if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "jacobi")) run_benchmark("field_jacobi_var", bench_field_jacobi_var, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, iters*10); @@ -395,8 +401,7 @@ int main(int argc, char **argv) { if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, iters); if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, iters); - if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 1 + iters/1000); - if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 1 + iters/100); + if (d || have_flag(argc, argv, "context")) run_benchmark("context_create", bench_context, bench_setup, NULL, &data, 10, iters); return 0; } diff --git a/src/ecmult.h b/src/ecmult.h index b47d8f494a..e28c602506 100644 --- a/src/ecmult.h +++ b/src/ecmult.h @@ -11,6 +11,17 @@ #include "scalar.h" #include "scratch.h" +#ifndef ECMULT_WINDOW_SIZE +# define ECMULT_WINDOW_SIZE 15 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("ECMULT_WINDOW_SIZE undefined, assuming default value") +# endif +#endif + +#ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_DEF(ECMULT_WINDOW_SIZE) +#endif + /* Noone will ever need more than a window size of 24. The code might * be correct for larger values of ECMULT_WINDOW_SIZE but this is not * tested. diff --git a/src/ecmult_const.h b/src/ecmult_const.h index f891f3f306..aae902743b 100644 --- a/src/ecmult_const.h +++ b/src/ecmult_const.h @@ -18,4 +18,23 @@ */ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits); +/** + * Same as secp256k1_ecmult_const, but takes in an x coordinate of the base point + * only, specified as fraction n/d. Only the x coordinate of the result is returned. + * + * If known_on_curve is 0, a verification is performed that n/d is a valid X + * coordinate, and 0 is returned if not. Otherwise, 1 is returned. + * + * d being NULL is interpreted as d=1. + * + * Constant time in the value of q, but not any other inputs. + */ +static int secp256k1_ecmult_const_xonly( + secp256k1_fe* r, + const secp256k1_fe *n, + const secp256k1_fe *d, + const secp256k1_scalar *q, + int bits, + int known_on_curve); + #endif /* SECP256K1_ECMULT_CONST_H */ diff --git a/src/ecmult_const_impl.h b/src/ecmult_const_impl.h index 12dbcc6c5b..1940ee7f08 100644 --- a/src/ecmult_const_impl.h +++ b/src/ecmult_const_impl.h @@ -228,4 +228,58 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons secp256k1_fe_mul(&r->z, &r->z, &Z); } +static int secp256k1_ecmult_const_xonly(secp256k1_fe* r, const secp256k1_fe *n, const secp256k1_fe *d, const secp256k1_scalar *q, int bits, int known_on_curve) { + + /* This algorithm is a generalization of Peter Dettman's technique for + * avoiding the square root in a random-basepoint x-only multiplication + * on a Weierstrass curve: + * https://mailarchive.ietf.org/arch/msg/cfrg/7DyYY6gg32wDgHAhgSb6XxMDlJA/ + */ + secp256k1_fe g, i; + secp256k1_ge p; + secp256k1_gej rj; + + /* Compute g = (n^3 + B*d^3). */ + secp256k1_fe_sqr(&g, n); + secp256k1_fe_mul(&g, &g, n); + if (d) { + secp256k1_fe b; + secp256k1_fe_sqr(&b, d); + secp256k1_fe_mul(&b, &b, d); + secp256k1_fe_mul(&b, &b, &secp256k1_fe_const_b); + secp256k1_fe_add(&g, &b); + if (!known_on_curve) { + secp256k1_fe c; + secp256k1_fe_mul(&c, &g, d); + if (secp256k1_fe_jacobi_var(&c) < 0) return 0; + } + } else { + secp256k1_fe_add(&g, &secp256k1_fe_const_b); + if (!known_on_curve) { + if (secp256k1_fe_jacobi_var(&g) < 0) return 0; + } + } + + /* Compute base point P = (n*g, g^2), the effective affine version of + * (n*g, g^2, sqrt(d*g)), which has corresponding affine X coordinate + * n/d. */ + secp256k1_fe_mul(&p.x, &g, n); + secp256k1_fe_sqr(&p.y, &g); + p.infinity = 0; + + /* Perform x-only EC multiplication of P with q. */ + secp256k1_ecmult_const(&rj, &p, q, bits); + + /* The resulting (X, Y, Z) point on the effective-affine isomorphic curve + * corresponds to (X, Y, Z*sqrt(d*g)) on the secp256k1 curve. The affine + * version of that has X coordinate (X / (Z^2*d*g)). */ + secp256k1_fe_sqr(&i, &rj.z); + secp256k1_fe_mul(&i, &i, &g); + if (d) secp256k1_fe_mul(&i, &i, d); + secp256k1_fe_inv(&i, &i); + secp256k1_fe_mul(r, &rj.x, &i); + + return 1; +} + #endif /* SECP256K1_ECMULT_CONST_IMPL_H */ diff --git a/src/ecmult_gen.h b/src/ecmult_gen.h index f48f266461..a430e8d5d9 100644 --- a/src/ecmult_gen.h +++ b/src/ecmult_gen.h @@ -10,9 +10,21 @@ #include "scalar.h" #include "group.h" +#ifndef ECMULT_GEN_PREC_BITS +# define ECMULT_GEN_PREC_BITS 4 +# ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_MSG("ECMULT_GEN_PREC_BITS undefined, assuming default value") +# endif +#endif + +#ifdef DEBUG_CONFIG +# pragma message DEBUG_CONFIG_DEF(ECMULT_GEN_PREC_BITS) +#endif + #if ECMULT_GEN_PREC_BITS != 2 && ECMULT_GEN_PREC_BITS != 4 && ECMULT_GEN_PREC_BITS != 8 # error "Set ECMULT_GEN_PREC_BITS to 2, 4 or 8." #endif + #define ECMULT_GEN_PREC_G(bits) (1 << bits) #define ECMULT_GEN_PREC_N(bits) (256 / bits) diff --git a/src/ecmult_gen_impl.h b/src/ecmult_gen_impl.h index 2c8a503acc..4f5ea9f3c0 100644 --- a/src/ecmult_gen_impl.h +++ b/src/ecmult_gen_impl.h @@ -88,31 +88,31 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const unsigned char nonce32[32]; secp256k1_rfc6979_hmac_sha256 rng; int overflow; - unsigned char keydata[64] = {0}; + unsigned char keydata[64]; if (seed32 == NULL) { /* When seed is NULL, reset the initial point and blinding value. */ secp256k1_gej_set_ge(&ctx->initial, &secp256k1_ge_const_g); secp256k1_gej_neg(&ctx->initial, &ctx->initial); secp256k1_scalar_set_int(&ctx->blind, 1); + return; } /* The prior blinding value (if not reset) is chained forward by including it in the hash. */ - secp256k1_scalar_get_b32(nonce32, &ctx->blind); + secp256k1_scalar_get_b32(keydata, &ctx->blind); /** Using a CSPRNG allows a failure free interface, avoids needing large amounts of random data, * and guards against weak or adversarial seeds. This is a simpler and safer interface than * asking the caller for blinding values directly and expecting them to retry on failure. */ - memcpy(keydata, nonce32, 32); - if (seed32 != NULL) { - memcpy(keydata + 32, seed32, 32); - } - secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, seed32 ? 64 : 32); + VERIFY_CHECK(seed32 != NULL); + memcpy(keydata + 32, seed32, 32); + secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, 64); memset(keydata, 0, sizeof(keydata)); /* Accept unobservably small non-uniformity. */ secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); overflow = !secp256k1_fe_set_b32(&s, nonce32); overflow |= secp256k1_fe_is_zero(&s); secp256k1_fe_cmov(&s, &secp256k1_fe_one, overflow); - /* Randomize the projection to defend against multiplier sidechannels. */ + /* Randomize the projection to defend against multiplier sidechannels. + Do this before our own call to secp256k1_ecmult_gen below. */ secp256k1_gej_rescale(&ctx->initial, &s); secp256k1_fe_clear(&s); secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); @@ -121,6 +121,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const secp256k1_scalar_cmov(&b, &secp256k1_scalar_one, secp256k1_scalar_is_zero(&b)); secp256k1_rfc6979_hmac_sha256_finalize(&rng); memset(nonce32, 0, 32); + /* The random projection in ctx->initial ensures that gb will have a random projection. */ secp256k1_ecmult_gen(ctx, &gb, &b); secp256k1_scalar_negate(&b, &b); ctx->blind = b; diff --git a/src/ecmult_impl.h b/src/ecmult_impl.h index bbc820c77c..3776fe73fc 100644 --- a/src/ecmult_impl.h +++ b/src/ecmult_impl.h @@ -200,9 +200,15 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, bit += now; } #ifdef VERIFY - CHECK(carry == 0); - while (bit < 256) { - CHECK(secp256k1_scalar_get_bits(&s, bit++, 1) == 0); + { + int verify_bit = bit; + + VERIFY_CHECK(carry == 0); + + while (verify_bit < 256) { + VERIFY_CHECK(secp256k1_scalar_get_bits(&s, verify_bit, 1) == 0); + verify_bit++; + } } #endif return last_set_bit + 1; diff --git a/src/field.h b/src/field.h index 2584a494ee..c9bafeb481 100644 --- a/src/field.h +++ b/src/field.h @@ -139,4 +139,7 @@ static void secp256k1_fe_half(secp256k1_fe *r); * magnitude set to 'm' and is normalized if (and only if) 'm' is zero. */ static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m); +/** Compute the Jacobi symbol of a / p. 0 if a=0; 1 if a square; -1 if a non-square. */ +static int secp256k1_fe_jacobi_var(const secp256k1_fe *a); + #endif /* SECP256K1_FIELD_H */ diff --git a/src/field_10x26_impl.h b/src/field_10x26_impl.h index 21742bf6eb..61a86190c5 100644 --- a/src/field_10x26_impl.h +++ b/src/field_10x26_impl.h @@ -1364,4 +1364,32 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); } +static int secp256k1_fe_jacobi_var(const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv32_signed30 s; + int ret; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed30(&s, &tmp); + ret = secp256k1_jacobi32_maybe_var(&s, &secp256k1_const_modinfo_fe); + if (ret == -2) { + /* secp256k1_jacobi32_maybe_var failed to compute the Jacobi symbol. Fall back + * to computing a square root. This should be extremely rare with random + * input. */ + secp256k1_fe dummy; + ret = 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1; +#ifdef VERIFY + } else { + secp256k1_fe dummy; + if (secp256k1_fe_is_zero(&tmp)) { + VERIFY_CHECK(ret == 0); + } else { + VERIFY_CHECK(ret == 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1); + } +#endif + } + return ret; +} + #endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/src/field_5x52_impl.h b/src/field_5x52_impl.h index 6bd202f587..26e89123a0 100644 --- a/src/field_5x52_impl.h +++ b/src/field_5x52_impl.h @@ -667,4 +667,32 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { #endif } +static int secp256k1_fe_jacobi_var(const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv64_signed62 s; + int ret; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed62(&s, &tmp); + ret = secp256k1_jacobi64_maybe_var(&s, &secp256k1_const_modinfo_fe); + if (ret == -2) { + /* secp256k1_jacobi64_maybe_var failed to compute the Jacobi symbol. Fall back + * to computing a square root. This should be extremely rare with random + * input. */ + secp256k1_fe dummy; + ret = 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1; +#ifdef VERIFY + } else { + secp256k1_fe dummy; + if (secp256k1_fe_is_zero(&tmp)) { + VERIFY_CHECK(ret == 0); + } else { + VERIFY_CHECK(ret == 2*secp256k1_fe_sqrt(&dummy, &tmp) - 1); + } +#endif + } + return ret; +} + #endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/src/field_5x52_int128_impl.h b/src/field_5x52_int128_impl.h index 0ed6118cc9..18567b95f3 100644 --- a/src/field_5x52_int128_impl.h +++ b/src/field_5x52_int128_impl.h @@ -9,14 +9,18 @@ #include +#include "int128.h" + #ifdef VERIFY #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) +#define VERIFY_BITS_128(x, n) VERIFY_CHECK(secp256k1_u128_check_bits((x), (n))) #else #define VERIFY_BITS(x, n) do { } while(0) +#define VERIFY_BITS_128(x, n) do { } while(0) #endif SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { - uint128_t c, d; + secp256k1_uint128 c, d; uint64_t t3, t4, tx, u0; uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; @@ -40,121 +44,119 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t * Note that [x 0 0 0 0 0] = [x*R]. */ - d = (uint128_t)a0 * b[3] - + (uint128_t)a1 * b[2] - + (uint128_t)a2 * b[1] - + (uint128_t)a3 * b[0]; - VERIFY_BITS(d, 114); + secp256k1_u128_mul(&d, a0, b[3]); + secp256k1_u128_accum_mul(&d, a1, b[2]); + secp256k1_u128_accum_mul(&d, a2, b[1]); + secp256k1_u128_accum_mul(&d, a3, b[0]); + VERIFY_BITS_128(&d, 114); /* [d 0 0 0] = [p3 0 0 0] */ - c = (uint128_t)a4 * b[4]; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a4, b[4]); + VERIFY_BITS_128(&c, 112); /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (uint128_t)R * (uint64_t)c; c >>= 64; - VERIFY_BITS(d, 115); - VERIFY_BITS(c, 48); + secp256k1_u128_accum_mul(&d, R, secp256k1_u128_to_u64(&c)); secp256k1_u128_rshift(&c, 64); + VERIFY_BITS_128(&d, 115); + VERIFY_BITS_128(&c, 48); /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - t3 = d & M; d >>= 52; + t3 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t3, 52); - VERIFY_BITS(d, 63); + VERIFY_BITS_128(&d, 63); /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (uint128_t)a0 * b[4] - + (uint128_t)a1 * b[3] - + (uint128_t)a2 * b[2] - + (uint128_t)a3 * b[1] - + (uint128_t)a4 * b[0]; - VERIFY_BITS(d, 115); + secp256k1_u128_accum_mul(&d, a0, b[4]); + secp256k1_u128_accum_mul(&d, a1, b[3]); + secp256k1_u128_accum_mul(&d, a2, b[2]); + secp256k1_u128_accum_mul(&d, a3, b[1]); + secp256k1_u128_accum_mul(&d, a4, b[0]); + VERIFY_BITS_128(&d, 115); /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - d += (uint128_t)(R << 12) * (uint64_t)c; - VERIFY_BITS(d, 116); + secp256k1_u128_accum_mul(&d, R << 12, secp256k1_u128_to_u64(&c)); + VERIFY_BITS_128(&d, 116); /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - t4 = d & M; d >>= 52; + t4 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t4, 52); - VERIFY_BITS(d, 64); + VERIFY_BITS_128(&d, 64); /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ tx = (t4 >> 48); t4 &= (M >> 4); VERIFY_BITS(tx, 4); VERIFY_BITS(t4, 48); /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - c = (uint128_t)a0 * b[0]; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a0, b[0]); + VERIFY_BITS_128(&c, 112); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ - d += (uint128_t)a1 * b[4] - + (uint128_t)a2 * b[3] - + (uint128_t)a3 * b[2] - + (uint128_t)a4 * b[1]; - VERIFY_BITS(d, 115); + secp256k1_u128_accum_mul(&d, a1, b[4]); + secp256k1_u128_accum_mul(&d, a2, b[3]); + secp256k1_u128_accum_mul(&d, a3, b[2]); + secp256k1_u128_accum_mul(&d, a4, b[1]); + VERIFY_BITS_128(&d, 115); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - u0 = d & M; d >>= 52; + u0 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(u0, 52); - VERIFY_BITS(d, 63); + VERIFY_BITS_128(&d, 63); /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = (u0 << 4) | tx; VERIFY_BITS(u0, 56); /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)u0 * (R >> 4); - VERIFY_BITS(c, 115); + secp256k1_u128_accum_mul(&c, u0, R >> 4); + VERIFY_BITS_128(&c, 115); /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - r[0] = c & M; c >>= 52; + r[0] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[0], 52); - VERIFY_BITS(c, 61); + VERIFY_BITS_128(&c, 61); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)a0 * b[1] - + (uint128_t)a1 * b[0]; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, b[1]); + secp256k1_u128_accum_mul(&c, a1, b[0]); + VERIFY_BITS_128(&c, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ - d += (uint128_t)a2 * b[4] - + (uint128_t)a3 * b[3] - + (uint128_t)a4 * b[2]; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a2, b[4]); + secp256k1_u128_accum_mul(&d, a3, b[3]); + secp256k1_u128_accum_mul(&d, a4, b[2]); + VERIFY_BITS_128(&d, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); + secp256k1_u128_accum_mul(&c, secp256k1_u128_to_u64(&d) & M, R); secp256k1_u128_rshift(&d, 52); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 62); /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - r[1] = c & M; c >>= 52; + r[1] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[1], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (uint128_t)a0 * b[2] - + (uint128_t)a1 * b[1] - + (uint128_t)a2 * b[0]; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, b[2]); + secp256k1_u128_accum_mul(&c, a1, b[1]); + secp256k1_u128_accum_mul(&c, a2, b[0]); + VERIFY_BITS_128(&c, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ - d += (uint128_t)a3 * b[4] - + (uint128_t)a4 * b[3]; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a3, b[4]); + secp256k1_u128_accum_mul(&d, a4, b[3]); + VERIFY_BITS_128(&d, 114); /* [d 0 0 t4 t3 c t1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (uint128_t)R * (uint64_t)d; d >>= 64; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 50); + secp256k1_u128_accum_mul(&c, R, secp256k1_u128_to_u64(&d)); secp256k1_u128_rshift(&d, 64); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 50); /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[2] = c & M; c >>= 52; + r[2] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[2], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (uint128_t)(R << 12) * (uint64_t)d + t3; - VERIFY_BITS(c, 100); + secp256k1_u128_accum_mul(&c, R << 12, secp256k1_u128_to_u64(&d)); + secp256k1_u128_accum_u64(&c, t3); + VERIFY_BITS_128(&c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[3] = c & M; c >>= 52; + r[3] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[3], 52); - VERIFY_BITS(c, 48); + VERIFY_BITS_128(&c, 48); /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += t4; - VERIFY_BITS(c, 49); - /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[4] = c; + r[4] = secp256k1_u128_to_u64(&c) + t4; VERIFY_BITS(r[4], 49); /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ } SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { - uint128_t c, d; + secp256k1_uint128 c, d; uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; int64_t t3, t4, tx, u0; const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; @@ -170,107 +172,105 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t * Note that [x 0 0 0 0 0] = [x*R]. */ - d = (uint128_t)(a0*2) * a3 - + (uint128_t)(a1*2) * a2; - VERIFY_BITS(d, 114); + secp256k1_u128_mul(&d, a0*2, a3); + secp256k1_u128_accum_mul(&d, a1*2, a2); + VERIFY_BITS_128(&d, 114); /* [d 0 0 0] = [p3 0 0 0] */ - c = (uint128_t)a4 * a4; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a4, a4); + VERIFY_BITS_128(&c, 112); /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - d += (uint128_t)R * (uint64_t)c; c >>= 64; - VERIFY_BITS(d, 115); - VERIFY_BITS(c, 48); + secp256k1_u128_accum_mul(&d, R, secp256k1_u128_to_u64(&c)); secp256k1_u128_rshift(&c, 64); + VERIFY_BITS_128(&d, 115); + VERIFY_BITS_128(&c, 48); /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ - t3 = d & M; d >>= 52; + t3 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t3, 52); - VERIFY_BITS(d, 63); + VERIFY_BITS_128(&d, 63); /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ a4 *= 2; - d += (uint128_t)a0 * a4 - + (uint128_t)(a1*2) * a3 - + (uint128_t)a2 * a2; - VERIFY_BITS(d, 115); + secp256k1_u128_accum_mul(&d, a0, a4); + secp256k1_u128_accum_mul(&d, a1*2, a3); + secp256k1_u128_accum_mul(&d, a2, a2); + VERIFY_BITS_128(&d, 115); /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - d += (uint128_t)(R << 12) * (uint64_t)c; - VERIFY_BITS(d, 116); + secp256k1_u128_accum_mul(&d, R << 12, secp256k1_u128_to_u64(&c)); + VERIFY_BITS_128(&d, 116); /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - t4 = d & M; d >>= 52; + t4 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(t4, 52); - VERIFY_BITS(d, 64); + VERIFY_BITS_128(&d, 64); /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ tx = (t4 >> 48); t4 &= (M >> 4); VERIFY_BITS(tx, 4); VERIFY_BITS(t4, 48); /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ - c = (uint128_t)a0 * a0; - VERIFY_BITS(c, 112); + secp256k1_u128_mul(&c, a0, a0); + VERIFY_BITS_128(&c, 112); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ - d += (uint128_t)a1 * a4 - + (uint128_t)(a2*2) * a3; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a1, a4); + secp256k1_u128_accum_mul(&d, a2*2, a3); + VERIFY_BITS_128(&d, 114); /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - u0 = d & M; d >>= 52; + u0 = secp256k1_u128_to_u64(&d) & M; secp256k1_u128_rshift(&d, 52); VERIFY_BITS(u0, 52); - VERIFY_BITS(d, 62); + VERIFY_BITS_128(&d, 62); /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ u0 = (u0 << 4) | tx; VERIFY_BITS(u0, 56); /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - c += (uint128_t)u0 * (R >> 4); - VERIFY_BITS(c, 113); + secp256k1_u128_accum_mul(&c, u0, R >> 4); + VERIFY_BITS_128(&c, 113); /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ - r[0] = c & M; c >>= 52; + r[0] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[0], 52); - VERIFY_BITS(c, 61); + VERIFY_BITS_128(&c, 61); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ a0 *= 2; - c += (uint128_t)a0 * a1; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, a1); + VERIFY_BITS_128(&c, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ - d += (uint128_t)a2 * a4 - + (uint128_t)a3 * a3; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a2, a4); + secp256k1_u128_accum_mul(&d, a3, a3); + VERIFY_BITS_128(&d, 114); /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (d & M) * R; d >>= 52; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 62); + secp256k1_u128_accum_mul(&c, secp256k1_u128_to_u64(&d) & M, R); secp256k1_u128_rshift(&d, 52); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 62); /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - r[1] = c & M; c >>= 52; + r[1] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[1], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ - c += (uint128_t)a0 * a2 - + (uint128_t)a1 * a1; - VERIFY_BITS(c, 114); + secp256k1_u128_accum_mul(&c, a0, a2); + secp256k1_u128_accum_mul(&c, a1, a1); + VERIFY_BITS_128(&c, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ - d += (uint128_t)a3 * a4; - VERIFY_BITS(d, 114); + secp256k1_u128_accum_mul(&d, a3, a4); + VERIFY_BITS_128(&d, 114); /* [d 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (uint128_t)R * (uint64_t)d; d >>= 64; - VERIFY_BITS(c, 115); - VERIFY_BITS(d, 50); + secp256k1_u128_accum_mul(&c, R, secp256k1_u128_to_u64(&d)); secp256k1_u128_rshift(&d, 64); + VERIFY_BITS_128(&c, 115); + VERIFY_BITS_128(&d, 50); /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[2] = c & M; c >>= 52; + r[2] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[2], 52); - VERIFY_BITS(c, 63); + VERIFY_BITS_128(&c, 63); /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += (uint128_t)(R << 12) * (uint64_t)d + t3; - VERIFY_BITS(c, 100); + secp256k1_u128_accum_mul(&c, R << 12, secp256k1_u128_to_u64(&d)); + secp256k1_u128_accum_u64(&c, t3); + VERIFY_BITS_128(&c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[3] = c & M; c >>= 52; + r[3] = secp256k1_u128_to_u64(&c) & M; secp256k1_u128_rshift(&c, 52); VERIFY_BITS(r[3], 52); - VERIFY_BITS(c, 48); + VERIFY_BITS_128(&c, 48); /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += t4; - VERIFY_BITS(c, 49); - /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - r[4] = c; + r[4] = secp256k1_u128_to_u64(&c) + t4; VERIFY_BITS(r[4], 49); /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ } diff --git a/src/group.h b/src/group.h index bb7dae1cf7..e966c2ba78 100644 --- a/src/group.h +++ b/src/group.h @@ -23,7 +23,7 @@ typedef struct { #define SECP256K1_GE_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} /** A group element of the secp256k1 curve, in jacobian coordinates. - * Note: For exhastive test mode, sepc256k1 is replaced by a small subgroup of a different curve. + * Note: For exhastive test mode, secp256k1 is replaced by a small subgroup of a different curve. */ typedef struct { secp256k1_fe x; /* actual X: x/z^2 */ @@ -51,6 +51,12 @@ static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const se * for Y. Return value indicates whether the result is valid. */ static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd); +/** Determine whether x is a valid X coordinate on the curve. */ +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe *x); + +/** Determine whether fraction xn/xd is a valid X coordinate on the curve. */ +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe *xn, const secp256k1_fe *xd); + /** Check whether a group element is the point at infinity. */ static int secp256k1_ge_is_infinity(const secp256k1_ge *a); @@ -97,6 +103,9 @@ static void secp256k1_gej_set_infinity(secp256k1_gej *r); /** Set a group element (jacobian) equal to another which is given in affine coordinates. */ static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a); +/** Check two group elements (jacobian) for equality in variable time. */ +static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b); + /** Compare the X coordinate of a group element (jacobian). */ static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a); diff --git a/src/group_impl.h b/src/group_impl.h index 63735ab682..c32a764778 100644 --- a/src/group_impl.h +++ b/src/group_impl.h @@ -236,6 +236,13 @@ static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { secp256k1_fe_set_int(&r->z, 1); } +static int secp256k1_gej_eq_var(const secp256k1_gej *a, const secp256k1_gej *b) { + secp256k1_gej tmp; + secp256k1_gej_neg(&tmp, a); + secp256k1_gej_add_var(&tmp, &tmp, b, NULL); + return secp256k1_gej_is_infinity(&tmp); +} + static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a) { secp256k1_fe r, r2; VERIFY_CHECK(!a->infinity); @@ -695,4 +702,33 @@ static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) { #endif } +static int secp256k1_ge_x_on_curve_var(const secp256k1_fe* x) +{ + secp256k1_fe c; + secp256k1_fe_sqr(&c, x); + secp256k1_fe_mul(&c, &c, x); + secp256k1_fe_add(&c, &secp256k1_fe_const_b); + return secp256k1_fe_jacobi_var(&c) >= 0; +} + +static int secp256k1_ge_x_frac_on_curve_var(const secp256k1_fe* xn, const secp256k1_fe* xd) { + /* We want to determine whether (xn/xd) is on the curve. + * + * (xn/xd)^3 + 7 is square <=> xd*xn^3 + 7*xd^4 is square (multiplying by xd^4, a square). + */ + secp256k1_fe r, t; + secp256k1_fe_mul(&r, xd, xn); /* r = xd*xn */ + secp256k1_fe_sqr(&t, xn); /* t = xn^2 */ + secp256k1_fe_mul(&r, &r, &t); /* r = xd*xn^3 */ + secp256k1_fe_sqr(&t, xd); /* t = xd^2 */ + secp256k1_fe_sqr(&t, &t); /* t = xd^4 */ +#if defined(EXHAUSTIVE_GROUP_ORDER) + secp256k1_fe_mul(&t, &t, &secp256k1_fe_const_b); /* t = 7*xd^4 */ +#else + secp256k1_fe_mul_int(&t, 7); +#endif + secp256k1_fe_add(&r, &t); /* r = xd*xn^3 + 7*xd^4 */ + return secp256k1_fe_jacobi_var(&r) >= 0; +} + #endif /* SECP256K1_GROUP_IMPL_H */ diff --git a/src/int128.h b/src/int128.h new file mode 100644 index 0000000000..3dc079f7d1 --- /dev/null +++ b/src/int128.h @@ -0,0 +1,85 @@ +#ifndef SECP256K1_INT128_H +#define SECP256K1_INT128_H + +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +# if defined(SECP256K1_INT128_NATIVE) +# include "int128_native.h" +# elif defined(SECP256K1_INT128_STRUCT) +# include "int128_struct.h" +# else +# error "Please select int128 implementation" +# endif + +/* Construct an unsigned 128-bit value from a high and a low 64-bit value. */ +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo); + +/* Multiply two unsigned 64-bit values a and b and write the result to r. */ +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b); + +/* Multiply two unsigned 64-bit values a and b and add the result to r. + * The final result is taken modulo 2^128. + */ +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b); + +/* Add an unsigned 64-bit value a to r. + * The final result is taken modulo 2^128. + */ +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a); + +/* Unsigned (logical) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n); + +/* Return the low 64-bits of a 128-bit value as an unsigned 64-bit value. */ +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a); + +/* Return the high 64-bits of a 128-bit value as an unsigned 64-bit value. */ +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a); + +/* Write an unsigned 64-bit value to r. */ +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a); + +/* Tests if r is strictly less than to 2^n. + * n must be strictly less than 128. + */ +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n); + +/* Construct an signed 128-bit value from a high and a low 64-bit value. */ +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo); + +/* Multiply two signed 64-bit values a and b and write the result to r. */ +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b); + +/* Multiply two signed 64-bit values a and b and add the result to r. + * Overflow or underflow from the addition is undefined behaviour. + */ +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b); + +/* Compute a*d - b*c from signed 64-bit values and write the result to r. */ +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d); + +/* Signed (arithmetic) right shift. + * Non-constant time in b. + */ +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int b); + +/* Return the low 64-bits of a 128-bit value interpreted as an signed 64-bit value. */ +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a); + +/* Write a signed 64-bit value to r. */ +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a); + +/* Compare two 128-bit values for equality. */ +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b); + +/* Tests if r is equal to sign*2^n (sign must be 1 or -1). + * n must be strictly less than 127. + */ +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign); + +#endif + +#endif diff --git a/src/int128_impl.h b/src/int128_impl.h new file mode 100644 index 0000000000..cfc573408a --- /dev/null +++ b/src/int128_impl.h @@ -0,0 +1,18 @@ +#ifndef SECP256K1_INT128_IMPL_H +#define SECP256K1_INT128_IMPL_H + +#include "util.h" + +#include "int128.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +# if defined(SECP256K1_INT128_NATIVE) +# include "int128_native_impl.h" +# elif defined(SECP256K1_INT128_STRUCT) +# include "int128_struct_impl.h" +# else +# error "Please select int128 implementation" +# endif +#endif + +#endif diff --git a/src/int128_native.h b/src/int128_native.h new file mode 100644 index 0000000000..7c97aafc74 --- /dev/null +++ b/src/int128_native.h @@ -0,0 +1,19 @@ +#ifndef SECP256K1_INT128_NATIVE_H +#define SECP256K1_INT128_NATIVE_H + +#include +#include "util.h" + +#if !defined(UINT128_MAX) && defined(__SIZEOF_INT128__) +SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t; +SECP256K1_GNUC_EXT typedef __int128 int128_t; +# define UINT128_MAX ((uint128_t)(-1)) +# define INT128_MAX ((int128_t)(UINT128_MAX >> 1)) +# define INT128_MIN (-INT128_MAX - 1) +/* No (U)INT128_C macros because compilers providing __int128 do not support 128-bit literals. */ +#endif + +typedef uint128_t secp256k1_uint128; +typedef int128_t secp256k1_int128; + +#endif diff --git a/src/int128_native_impl.h b/src/int128_native_impl.h new file mode 100644 index 0000000000..ca86f3e8f3 --- /dev/null +++ b/src/int128_native_impl.h @@ -0,0 +1,88 @@ +#ifndef SECP256K1_INT128_NATIVE_IMPL_H +#define SECP256K1_INT128_NATIVE_IMPL_H + +#include "int128.h" + +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { + *r = (((uint128_t)hi) << 64) + lo; +} + +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + *r = (uint128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + *r += (uint128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) { + *r += a; +} + +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + *r >>= n; +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) { + return (uint64_t)(*a); +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) { + return (uint64_t)(*a >> 64); +} + +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) { + *r = a; +} + +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + return (*r >> n == 0); +} + +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) { + *r = (((uint128_t)(uint64_t)hi) << 64) + lo; +} + +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + *r = (int128_t)a * b; +} + +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int128_t ab = (int128_t)a * b; + VERIFY_CHECK(0 <= ab ? *r <= INT128_MAX - ab : INT128_MIN - ab <= *r); + *r += ab; +} + +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) { + int128_t ad = (int128_t)a * d; + int128_t bc = (int128_t)b * c; + VERIFY_CHECK(0 <= bc ? INT128_MIN + bc <= ad : ad <= INT128_MAX + bc); + *r = ad - bc; +} + +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + *r >>= n; +} + +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) { + return *a; +} + +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) { + *r = a; +} + +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) { + return *a == *b; +} + +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) { + VERIFY_CHECK(n < 127); + VERIFY_CHECK(sign == 1 || sign == -1); + return (*r == (int128_t)((uint128_t)sign << n)); +} + +#endif diff --git a/src/int128_struct.h b/src/int128_struct.h new file mode 100644 index 0000000000..6156f82cc2 --- /dev/null +++ b/src/int128_struct.h @@ -0,0 +1,14 @@ +#ifndef SECP256K1_INT128_STRUCT_H +#define SECP256K1_INT128_STRUCT_H + +#include +#include "util.h" + +typedef struct { + uint64_t lo; + uint64_t hi; +} secp256k1_uint128; + +typedef secp256k1_uint128 secp256k1_int128; + +#endif diff --git a/src/int128_struct_impl.h b/src/int128_struct_impl.h new file mode 100644 index 0000000000..7aee21ac56 --- /dev/null +++ b/src/int128_struct_impl.h @@ -0,0 +1,198 @@ +#ifndef SECP256K1_INT128_STRUCT_IMPL_H +#define SECP256K1_INT128_STRUCT_IMPL_H + +#include "int128.h" + +#if defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) /* MSVC */ +# include +# if defined(_M_ARM64) || defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) +/* On ARM64 MSVC, use __(u)mulh for the upper half of 64x64 multiplications. + (Define SECP256K1_MSVC_MULH_TEST_OVERRIDE to test this code path on X64, + which supports both __(u)mulh and _umul128.) */ +# if defined(SECP256K1_MSVC_MULH_TEST_OVERRIDE) +# pragma message(__FILE__ ": SECP256K1_MSVC_MULH_TEST_OVERRIDE is defined, forcing use of __(u)mulh.") +# endif +static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { + *hi = __umulh(a, b); + return a * b; +} + +static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { + *hi = __mulh(a, b); + return (uint64_t)a * (uint64_t)b; +} +# else +/* On x84_64 MSVC, use native _(u)mul128 for 64x64->128 multiplications. */ +# define secp256k1_umul128 _umul128 +# define secp256k1_mul128 _mul128 +# endif +#else +/* On other systems, emulate 64x64->128 multiplications using 32x32->64 multiplications. */ +static SECP256K1_INLINE uint64_t secp256k1_umul128(uint64_t a, uint64_t b, uint64_t* hi) { + uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; + uint64_t lh = (uint32_t)a * (b >> 32); + uint64_t hl = (a >> 32) * (uint32_t)b; + uint64_t hh = (a >> 32) * (b >> 32); + uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; + *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32); + return (mid34 << 32) + (uint32_t)ll; +} + +static SECP256K1_INLINE int64_t secp256k1_mul128(int64_t a, int64_t b, int64_t* hi) { + uint64_t ll = (uint64_t)(uint32_t)a * (uint32_t)b; + int64_t lh = (uint32_t)a * (b >> 32); + int64_t hl = (a >> 32) * (uint32_t)b; + int64_t hh = (a >> 32) * (b >> 32); + uint64_t mid34 = (ll >> 32) + (uint32_t)lh + (uint32_t)hl; + *hi = hh + (lh >> 32) + (hl >> 32) + (mid34 >> 32); + return (mid34 << 32) + (uint32_t)ll; +} +#endif + +static SECP256K1_INLINE void secp256k1_u128_load(secp256k1_uint128 *r, uint64_t hi, uint64_t lo) { + r->hi = hi; + r->lo = lo; +} + +static SECP256K1_INLINE void secp256k1_u128_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + r->lo = secp256k1_umul128(a, b, &r->hi); +} + +static SECP256K1_INLINE void secp256k1_u128_accum_mul(secp256k1_uint128 *r, uint64_t a, uint64_t b) { + uint64_t lo, hi; + lo = secp256k1_umul128(a, b, &hi); + r->lo += lo; + r->hi += hi + (r->lo < lo); +} + +static SECP256K1_INLINE void secp256k1_u128_accum_u64(secp256k1_uint128 *r, uint64_t a) { + r->lo += a; + r->hi += r->lo < a; +} + +/* Unsigned (logical) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_u128_rshift(secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + if (n >= 64) { + r->lo = r->hi >> (n-64); + r->hi = 0; + } else if (n > 0) { + r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; + r->hi >>= n; + } +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_to_u64(const secp256k1_uint128 *a) { + return a->lo; +} + +static SECP256K1_INLINE uint64_t secp256k1_u128_hi_u64(const secp256k1_uint128 *a) { + return a->hi; +} + +static SECP256K1_INLINE void secp256k1_u128_from_u64(secp256k1_uint128 *r, uint64_t a) { + r->hi = 0; + r->lo = a; +} + +static SECP256K1_INLINE int secp256k1_u128_check_bits(const secp256k1_uint128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + return n >= 64 ? r->hi >> (n - 64) == 0 + : r->hi == 0 && r->lo >> n == 0; +} + +static SECP256K1_INLINE void secp256k1_i128_load(secp256k1_int128 *r, int64_t hi, uint64_t lo) { + r->hi = hi; + r->lo = lo; +} + +static SECP256K1_INLINE void secp256k1_i128_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + r->lo = (uint64_t)secp256k1_mul128(a, b, &hi); + r->hi = (uint64_t)hi; +} + +static SECP256K1_INLINE void secp256k1_i128_accum_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi); + r->lo += lo; + hi += r->lo < lo; + /* Verify no overflow. + * If r represents a positive value (the sign bit is not set) and the value we are adding is a positive value (the sign bit is not set), + * then we require that the resulting value also be positive (the sign bit is not set). + * Note that (X <= Y) means (X implies Y) when X and Y are boolean values (i.e. 0 or 1). + */ + VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi <= 0x7fffffffffffffffu)); + /* Verify no underflow. + * If r represents a negative value (the sign bit is set) and the value we are adding is a negative value (the sign bit is set), + * then we require that the resulting value also be negative (the sign bit is set). + */ + VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi + (uint64_t)hi > 0x7fffffffffffffffu)); + r->hi += hi; +} + +static SECP256K1_INLINE void secp256k1_i128_dissip_mul(secp256k1_int128 *r, int64_t a, int64_t b) { + int64_t hi; + uint64_t lo = (uint64_t)secp256k1_mul128(a, b, &hi); + hi += r->lo < lo; + /* Verify no overflow. + * If r represents a positive value (the sign bit is not set) and the value we are subtracting is a negative value (the sign bit is set), + * then we require that the resulting value also be positive (the sign bit is not set). + */ + VERIFY_CHECK((r->hi <= 0x7fffffffffffffffu && (uint64_t)hi > 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi <= 0x7fffffffffffffffu)); + /* Verify no underflow. + * If r represents a negative value (the sign bit is set) and the value we are subtracting is a positive value (the sign sign bit is not set), + * then we require that the resulting value also be negative (the sign bit is set). + */ + VERIFY_CHECK((r->hi > 0x7fffffffffffffffu && (uint64_t)hi <= 0x7fffffffffffffffu) <= (r->hi - (uint64_t)hi > 0x7fffffffffffffffu)); + r->hi -= hi; + r->lo -= lo; +} + +static SECP256K1_INLINE void secp256k1_i128_det(secp256k1_int128 *r, int64_t a, int64_t b, int64_t c, int64_t d) { + secp256k1_i128_mul(r, a, d); + secp256k1_i128_dissip_mul(r, b, c); +} + +/* Signed (arithmetic) right shift. + * Non-constant time in n. + */ +static SECP256K1_INLINE void secp256k1_i128_rshift(secp256k1_int128 *r, unsigned int n) { + VERIFY_CHECK(n < 128); + if (n >= 64) { + r->lo = (uint64_t)((int64_t)(r->hi) >> (n-64)); + r->hi = (uint64_t)((int64_t)(r->hi) >> 63); + } else if (n > 0) { + r->lo = ((1U * r->hi) << (64-n)) | r->lo >> n; + r->hi = (uint64_t)((int64_t)(r->hi) >> n); + } +} + +static SECP256K1_INLINE int64_t secp256k1_i128_to_i64(const secp256k1_int128 *a) { + return (int64_t)a->lo; +} + +static SECP256K1_INLINE void secp256k1_i128_from_i64(secp256k1_int128 *r, int64_t a) { + r->hi = (uint64_t)(a >> 63); + r->lo = (uint64_t)a; +} + +static SECP256K1_INLINE int secp256k1_i128_eq_var(const secp256k1_int128 *a, const secp256k1_int128 *b) { + return a->hi == b->hi && a->lo == b->lo; +} + +static SECP256K1_INLINE int secp256k1_i128_check_pow2(const secp256k1_int128 *r, unsigned int n, int sign) { + VERIFY_CHECK(n < 127); + VERIFY_CHECK(sign == 1 || sign == -1); + if (sign == 1) { + return n >= 64 ? r->hi == (uint64_t)1 << (n - 64) && r->lo == 0 + : r->hi == 0 && r->lo == (uint64_t)1 << n; + } else { + return n >= 64 ? r->hi == (~(uint64_t)0) << (n - 64) && r->lo == 0 + : r->hi == (~(uint64_t)0) && r->lo == (~(uint64_t)0) << n; + } +} + +#endif diff --git a/src/modinv32.h b/src/modinv32.h index 0efdda9ab5..263bda20b8 100644 --- a/src/modinv32.h +++ b/src/modinv32.h @@ -39,4 +39,8 @@ static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256 /* Same as secp256k1_modinv32_var, but constant time in x (not in the modulus). */ static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); +/* Compute the Jacobi symbol for (x | modinfo->modulus). Either x must be 0, or x must be coprime with + * modulus. All limbs of x must be non-negative. Returns -2 if the result cannot be computed. */ +static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); + #endif /* SECP256K1_MODINV32_H */ diff --git a/src/modinv32_impl.h b/src/modinv32_impl.h index 661c5fc04c..d61424c4e8 100644 --- a/src/modinv32_impl.h +++ b/src/modinv32_impl.h @@ -232,6 +232,21 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_ return zeta; } +/* inv256[i] = -(2*i+1)^-1 (mod 256) */ +static const uint8_t secp256k1_modinv32_inv256[128] = { + 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59, + 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31, + 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89, + 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61, + 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9, + 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91, + 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9, + 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1, + 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19, + 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1, + 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01 +}; + /* Compute the transition matrix and eta for 30 divsteps (variable time). * * Input: eta: initial eta @@ -243,21 +258,6 @@ static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_ * Implements the divsteps_n_matrix_var function from the explanation. */ static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) { - /* inv256[i] = -(2*i+1)^-1 (mod 256) */ - static const uint8_t inv256[128] = { - 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59, - 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31, - 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89, - 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61, - 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9, - 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91, - 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9, - 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1, - 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19, - 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1, - 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01 - }; - /* Transformation matrix; see comments in secp256k1_modinv32_divsteps_30. */ uint32_t u = 1, v = 0, q = 0, r = 1; uint32_t f = f0, g = g0, m; @@ -297,7 +297,7 @@ static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint VERIFY_CHECK(limit > 0 && limit <= 30); m = (UINT32_MAX >> (32 - limit)) & 255U; /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */ - w = (g * inv256[(f >> 1) & 127]) & m; + w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m; /* Do so. */ g += f * w; q += u * w; @@ -317,6 +317,83 @@ static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint return eta; } +/* Compute the transition matrix and eta for 30 posdivsteps (variable time, eta=-delta), and keeps track + * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^32 rather than 2^30, because + * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + */ +static int32_t secp256k1_modinv32_posdivsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t, int *jacp) { + /* Transformation matrix. */ + uint32_t u = 1, v = 0, q = 0, r = 1; + uint32_t f = f0, g = g0, m; + uint16_t w; + int i = 30, limit, zeros; + int jac = *jacp; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* Update the bottom bit of jac: when dividing g by an odd power of 2, + * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */ + jac ^= (zeros & ((f >> 1) ^ (f >> 2))); + /* We're done once we've done 30 posdivsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i)); + /* If eta is negative, negate it and replace f,g with g,f. */ + if (eta < 0) { + uint32_t tmp; + eta = -eta; + /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign + * if both f and g are 3 mod 4. */ + jac ^= ((f & g) >> 1); + tmp = f; f = g; g = tmp; + tmp = u; u = q; q = tmp; + tmp = v; v = r; r = tmp; + } + /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more + * than i can be cancelled out (as we'd be done before that point), and no more than eta+1 + * can be done as its sign will flip once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */ + VERIFY_CHECK(limit > 0 && limit <= 30); + m = (UINT32_MAX >> (32 - limit)) & 255U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */ + w = (g * secp256k1_modinv32_inv256[(f >> 1) & 127]) & m; + /* Do so. */ + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int32_t)u; + t->v = (int32_t)v; + t->q = (int32_t)q; + t->r = (int32_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2 or -2, + * the aggregate of 30 of them will have determinant 2^30 or -2^30. */ + VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30 || + (int64_t)t->u * t->r - (int64_t)t->v * t->q == -(((int64_t)1) << 30)); + *jacp = jac; + return eta; +} + /* Compute (t/2^30) * [d, e] mod modulus, where t is a transition matrix for 30 divsteps. * * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range @@ -584,4 +661,71 @@ static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256 *x = d; } +/* Do up to 50 iterations of 30 posdivsteps (up to 1500 steps; more is extremely rare) each until f=1. + * In VERIFY mode use a lower number of iterations (750, close to the median 756), so failure actually occurs. */ +#ifdef VERIFY +#define JACOBI32_ITERATIONS 25 +#else +#define JACOBI32_ITERATIONS 50 +#endif + +/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1, or x must be 0. */ +static int secp256k1_jacobi32_maybe_var(const secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) { + /* Start with f=modulus, g=x, eta=-1. */ + secp256k1_modinv32_signed30 f = modinfo->modulus; + secp256k1_modinv32_signed30 g = *x; + int j, len = 9; + int32_t eta = -1; /* eta = -delta; delta is initially 1 */ + int32_t cond, fn, gn; + int jac = 0; + int count; + + VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0 && g.v[5] >= 0 && g.v[6] >= 0 && g.v[7] >= 0 && g.v[8] >= 0); + + /* The loop below does not converge for input g=0. Deal with this case specifically. */ + if (!(g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4] | g.v[5] | g.v[6] | g.v[7] | g.v[8])) return 0; + + for (count = 0; count < JACOBI32_ITERATIONS; ++count) { + /* Compute transition matrix and new eta after 30 posdivsteps. */ + secp256k1_modinv32_trans2x2 t; + eta = secp256k1_modinv32_posdivsteps_30_var(eta, f.v[0] | ((uint32_t)f.v[1] << 30), g.v[0] | ((uint32_t)g.v[1] << 30), &t, &jac); + /* Update f,g using that transition matrix. */ +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); + /* If the bottom limb of f is 1, there is a chance that f=1. */ + if (f.v[0] == 1) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= f.v[j]; + } + /* If so, we're done. */ + if (cond == 0) return 1 - 2*(jac & 1); + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int32_t)len - 2) >> 31; + cond |= fn; + cond |= gn; + /* If so, reduce length. */ + if (cond == 0) --len; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + } + + /* The loop failed to converge to f=g after 1500 iterations. Return -2, indicating unknown result. */ + return -2; +} + #endif /* SECP256K1_MODINV32_IMPL_H */ diff --git a/src/modinv64.h b/src/modinv64.h index da506dfa9f..e432fcbe8d 100644 --- a/src/modinv64.h +++ b/src/modinv64.h @@ -43,4 +43,8 @@ static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256 /* Same as secp256k1_modinv64_var, but constant time in x (not in the modulus). */ static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); +/* Compute the Jacobi symbol for (x | modinfo->modulus). Either x must be 0, or x must be coprime with + * modulus. All limbs of x must be non-negative. Returns -2 if the result cannot be computed. */ +static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); + #endif /* SECP256K1_MODINV64_H */ diff --git a/src/modinv64_impl.h b/src/modinv64_impl.h index 0743a9c821..1aa4950c21 100644 --- a/src/modinv64_impl.h +++ b/src/modinv64_impl.h @@ -7,10 +7,9 @@ #ifndef SECP256K1_MODINV64_IMPL_H #define SECP256K1_MODINV64_IMPL_H +#include "int128.h" #include "modinv64.h" -#include "util.h" - /* This file implements modular inversion based on the paper "Fast constant-time gcd computation and * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang. * @@ -18,6 +17,15 @@ * implementation for N=62, using 62-bit signed limbs represented as int64_t. */ +/* Data type for transition matrices (see section 3 of explanation). + * + * t = [ u v ] + * [ q r ] + */ +typedef struct { + int64_t u, v, q, r; +} secp256k1_modinv64_trans2x2; + #ifdef VERIFY /* Helper function to compute the absolute value of an int64_t. * (we don't use abs/labs/llabs as it depends on the int sizes). */ @@ -32,15 +40,17 @@ static const secp256k1_modinv64_signed62 SECP256K1_SIGNED62_ONE = {{1}}; /* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^62). */ static void secp256k1_modinv64_mul_62(secp256k1_modinv64_signed62 *r, const secp256k1_modinv64_signed62 *a, int alen, int64_t factor) { const int64_t M62 = (int64_t)(UINT64_MAX >> 2); - int128_t c = 0; + secp256k1_int128 c, d; int i; + secp256k1_i128_from_i64(&c, 0); for (i = 0; i < 4; ++i) { - if (i < alen) c += (int128_t)a->v[i] * factor; - r->v[i] = (int64_t)c & M62; c >>= 62; + if (i < alen) secp256k1_i128_accum_mul(&c, a->v[i], factor); + r->v[i] = secp256k1_i128_to_i64(&c) & M62; secp256k1_i128_rshift(&c, 62); } - if (4 < alen) c += (int128_t)a->v[4] * factor; - VERIFY_CHECK(c == (int64_t)c); - r->v[4] = (int64_t)c; + if (4 < alen) secp256k1_i128_accum_mul(&c, a->v[4], factor); + secp256k1_i128_from_i64(&d, secp256k1_i128_to_i64(&c)); + VERIFY_CHECK(secp256k1_i128_eq_var(&c, &d)); + r->v[4] = secp256k1_i128_to_i64(&c); } /* Return -1 for ab*factor. A has alen limbs; b has 5. */ @@ -60,6 +70,15 @@ static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, i } return 0; } + +/* Check if the determinant of t is equal to 1 << n. If abs, |det| == 1 << n. */ +static int secp256k1_modinv64_det_check_pow2(const secp256k1_modinv64_trans2x2 *t, unsigned int n, int abs) { + secp256k1_int128 a; + secp256k1_i128_det(&a, t->u, t->v, t->q, t->r); + if (secp256k1_i128_check_pow2(&a, n, 1)) return 1; + if (abs && secp256k1_i128_check_pow2(&a, n, -1)) return 1; + return 0; +} #endif /* Take as input a signed62 number in range (-2*modulus,modulus), and add a multiple of the modulus @@ -136,15 +155,6 @@ static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int6 #endif } -/* Data type for transition matrices (see section 3 of explanation). - * - * t = [ u v ] - * [ q r ] - */ -typedef struct { - int64_t u, v, q, r; -} secp256k1_modinv64_trans2x2; - /* Compute the transition matrix and eta for 59 divsteps (where zeta=-(delta+1/2)). * Note that the transformation matrix is scaled by 2^62 and not 2^59. * @@ -203,13 +213,15 @@ static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_ t->v = (int64_t)v; t->q = (int64_t)q; t->r = (int64_t)r; +#ifdef VERIFY /* The determinant of t must be a power of two. This guarantees that multiplication with t * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which * will be divided out again). As each divstep's individual matrix has determinant 2, the * aggregate of 59 of them will have determinant 2^59. Multiplying with the initial * 8*identity (which has determinant 2^6) means the overall outputs has determinant * 2^65. */ - VERIFY_CHECK((int128_t)t->u * t->r - (int128_t)t->v * t->q == ((int128_t)1) << 65); + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 65, 0)); +#endif return zeta; } @@ -256,7 +268,7 @@ static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint tmp = v; v = r; r = -tmp; /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled * out (as we'd be done before that point), and no more than eta+1 can be done as its - * will flip again once that happens. */ + * sign will flip again once that happens. */ limit = ((int)eta + 1) > i ? i : ((int)eta + 1); VERIFY_CHECK(limit > 0 && limit <= 62); /* m is a mask for the bottom min(limit, 6) bits. */ @@ -286,11 +298,102 @@ static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint t->v = (int64_t)v; t->q = (int64_t)q; t->r = (int64_t)r; +#ifdef VERIFY /* The determinant of t must be a power of two. This guarantees that multiplication with t * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which * will be divided out again). As each divstep's individual matrix has determinant 2, the * aggregate of 62 of them will have determinant 2^62. */ - VERIFY_CHECK((int128_t)t->u * t->r - (int128_t)t->v * t->q == ((int128_t)1) << 62); + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 0)); +#endif + return eta; +} + +/* Compute the transition matrix and eta for 62 posdivsteps (variable time, eta=-delta), and keeps track + * of the Jacobi symbol along the way. f0 and g0 must be f and g mod 2^64 rather than 2^62, because + * Jacobi tracking requires knowing (f mod 8) rather than just (f mod 2). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + */ +static int64_t secp256k1_modinv64_posdivsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t, int *jacp) { + /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */ + uint64_t u = 1, v = 0, q = 0, r = 1; + uint64_t f = f0, g = g0, m; + uint32_t w; + int i = 62, limit, zeros; + int jac = *jacp; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* Update the bottom bit of jac: when dividing g by an odd power of 2, + * if (f mod 8) is 3 or 5, the Jacobi symbol changes sign. */ + jac ^= (zeros & ((f >> 1) ^ (f >> 2))); + /* We're done once we've done 62 posdivsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i)); + /* If eta is negative, negate it and replace f,g with g,f. */ + if (eta < 0) { + uint64_t tmp; + eta = -eta; + tmp = f; f = g; g = tmp; + tmp = u; u = q; q = tmp; + tmp = v; v = r; r = tmp; + /* Update bottom bit of jac: when swapping f and g, the Jacobi symbol changes sign + * if both f and g are 3 mod 4. */ + jac ^= ((f & g) >> 1); + /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled + * out (as we'd be done before that point), and no more than eta+1 can be done as its + * sign will flip again once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 6) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 63U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6) + * bits. */ + w = (f * g * (f * f - 2)) & m; + } else { + /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as + * eta tends to be smaller here. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 4) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 15U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4) + * bits. */ + w = f + (((f + 1) & 4) << 1); + w = (-w * g) & m; + } + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int64_t)u; + t->v = (int64_t)v; + t->q = (int64_t)q; + t->r = (int64_t)r; +#ifdef VERIFY + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2 or -2, + * the aggregate of 62 of them will have determinant 2^62 or -2^62. */ + VERIFY_CHECK(secp256k1_modinv64_det_check_pow2(t, 62, 1)); +#endif + *jacp = jac; return eta; } @@ -307,7 +410,7 @@ static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp const int64_t e0 = e->v[0], e1 = e->v[1], e2 = e->v[2], e3 = e->v[3], e4 = e->v[4]; const int64_t u = t->u, v = t->v, q = t->q, r = t->r; int64_t md, me, sd, se; - int128_t cd, ce; + secp256k1_int128 cd, ce; #ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ @@ -324,54 +427,64 @@ static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp md = (u & sd) + (v & se); me = (q & sd) + (r & se); /* Begin computing t*[d,e]. */ - cd = (int128_t)u * d0 + (int128_t)v * e0; - ce = (int128_t)q * d0 + (int128_t)r * e0; + secp256k1_i128_mul(&cd, u, d0); + secp256k1_i128_accum_mul(&cd, v, e0); + secp256k1_i128_mul(&ce, q, d0); + secp256k1_i128_accum_mul(&ce, r, e0); /* Correct md,me so that t*[d,e]+modulus*[md,me] has 62 zero bottom bits. */ - md -= (modinfo->modulus_inv62 * (uint64_t)cd + md) & M62; - me -= (modinfo->modulus_inv62 * (uint64_t)ce + me) & M62; + md -= (modinfo->modulus_inv62 * (uint64_t)secp256k1_i128_to_i64(&cd) + md) & M62; + me -= (modinfo->modulus_inv62 * (uint64_t)secp256k1_i128_to_i64(&ce) + me) & M62; /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */ - cd += (int128_t)modinfo->modulus.v[0] * md; - ce += (int128_t)modinfo->modulus.v[0] * me; + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[0], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[0], me); /* Verify that the low 62 bits of the computation are indeed zero, and then throw them away. */ - VERIFY_CHECK(((int64_t)cd & M62) == 0); cd >>= 62; - VERIFY_CHECK(((int64_t)ce & M62) == 0); ce >>= 62; + VERIFY_CHECK((secp256k1_i128_to_i64(&cd) & M62) == 0); secp256k1_i128_rshift(&cd, 62); + VERIFY_CHECK((secp256k1_i128_to_i64(&ce) & M62) == 0); secp256k1_i128_rshift(&ce, 62); /* Compute limb 1 of t*[d,e]+modulus*[md,me], and store it as output limb 0 (= down shift). */ - cd += (int128_t)u * d1 + (int128_t)v * e1; - ce += (int128_t)q * d1 + (int128_t)r * e1; + secp256k1_i128_accum_mul(&cd, u, d1); + secp256k1_i128_accum_mul(&cd, v, e1); + secp256k1_i128_accum_mul(&ce, q, d1); + secp256k1_i128_accum_mul(&ce, r, e1); if (modinfo->modulus.v[1]) { /* Optimize for the case where limb of modulus is zero. */ - cd += (int128_t)modinfo->modulus.v[1] * md; - ce += (int128_t)modinfo->modulus.v[1] * me; + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[1], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[1], me); } - d->v[0] = (int64_t)cd & M62; cd >>= 62; - e->v[0] = (int64_t)ce & M62; ce >>= 62; + d->v[0] = secp256k1_i128_to_i64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[0] = secp256k1_i128_to_i64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); /* Compute limb 2 of t*[d,e]+modulus*[md,me], and store it as output limb 1. */ - cd += (int128_t)u * d2 + (int128_t)v * e2; - ce += (int128_t)q * d2 + (int128_t)r * e2; + secp256k1_i128_accum_mul(&cd, u, d2); + secp256k1_i128_accum_mul(&cd, v, e2); + secp256k1_i128_accum_mul(&ce, q, d2); + secp256k1_i128_accum_mul(&ce, r, e2); if (modinfo->modulus.v[2]) { /* Optimize for the case where limb of modulus is zero. */ - cd += (int128_t)modinfo->modulus.v[2] * md; - ce += (int128_t)modinfo->modulus.v[2] * me; + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[2], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[2], me); } - d->v[1] = (int64_t)cd & M62; cd >>= 62; - e->v[1] = (int64_t)ce & M62; ce >>= 62; + d->v[1] = secp256k1_i128_to_i64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[1] = secp256k1_i128_to_i64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); /* Compute limb 3 of t*[d,e]+modulus*[md,me], and store it as output limb 2. */ - cd += (int128_t)u * d3 + (int128_t)v * e3; - ce += (int128_t)q * d3 + (int128_t)r * e3; + secp256k1_i128_accum_mul(&cd, u, d3); + secp256k1_i128_accum_mul(&cd, v, e3); + secp256k1_i128_accum_mul(&ce, q, d3); + secp256k1_i128_accum_mul(&ce, r, e3); if (modinfo->modulus.v[3]) { /* Optimize for the case where limb of modulus is zero. */ - cd += (int128_t)modinfo->modulus.v[3] * md; - ce += (int128_t)modinfo->modulus.v[3] * me; + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[3], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[3], me); } - d->v[2] = (int64_t)cd & M62; cd >>= 62; - e->v[2] = (int64_t)ce & M62; ce >>= 62; + d->v[2] = secp256k1_i128_to_i64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[2] = secp256k1_i128_to_i64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); /* Compute limb 4 of t*[d,e]+modulus*[md,me], and store it as output limb 3. */ - cd += (int128_t)u * d4 + (int128_t)v * e4; - ce += (int128_t)q * d4 + (int128_t)r * e4; - cd += (int128_t)modinfo->modulus.v[4] * md; - ce += (int128_t)modinfo->modulus.v[4] * me; - d->v[3] = (int64_t)cd & M62; cd >>= 62; - e->v[3] = (int64_t)ce & M62; ce >>= 62; + secp256k1_i128_accum_mul(&cd, u, d4); + secp256k1_i128_accum_mul(&cd, v, e4); + secp256k1_i128_accum_mul(&ce, q, d4); + secp256k1_i128_accum_mul(&ce, r, e4); + secp256k1_i128_accum_mul(&cd, modinfo->modulus.v[4], md); + secp256k1_i128_accum_mul(&ce, modinfo->modulus.v[4], me); + d->v[3] = secp256k1_i128_to_i64(&cd) & M62; secp256k1_i128_rshift(&cd, 62); + e->v[3] = secp256k1_i128_to_i64(&ce) & M62; secp256k1_i128_rshift(&ce, 62); /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */ - d->v[4] = (int64_t)cd; - e->v[4] = (int64_t)ce; + d->v[4] = secp256k1_i128_to_i64(&cd); + e->v[4] = secp256k1_i128_to_i64(&ce); #ifdef VERIFY VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ @@ -389,36 +502,46 @@ static void secp256k1_modinv64_update_fg_62(secp256k1_modinv64_signed62 *f, secp const int64_t f0 = f->v[0], f1 = f->v[1], f2 = f->v[2], f3 = f->v[3], f4 = f->v[4]; const int64_t g0 = g->v[0], g1 = g->v[1], g2 = g->v[2], g3 = g->v[3], g4 = g->v[4]; const int64_t u = t->u, v = t->v, q = t->q, r = t->r; - int128_t cf, cg; + secp256k1_int128 cf, cg; /* Start computing t*[f,g]. */ - cf = (int128_t)u * f0 + (int128_t)v * g0; - cg = (int128_t)q * f0 + (int128_t)r * g0; + secp256k1_i128_mul(&cf, u, f0); + secp256k1_i128_accum_mul(&cf, v, g0); + secp256k1_i128_mul(&cg, q, f0); + secp256k1_i128_accum_mul(&cg, r, g0); /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ - VERIFY_CHECK(((int64_t)cf & M62) == 0); cf >>= 62; - VERIFY_CHECK(((int64_t)cg & M62) == 0); cg >>= 62; + VERIFY_CHECK((secp256k1_i128_to_i64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62); + VERIFY_CHECK((secp256k1_i128_to_i64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62); /* Compute limb 1 of t*[f,g], and store it as output limb 0 (= down shift). */ - cf += (int128_t)u * f1 + (int128_t)v * g1; - cg += (int128_t)q * f1 + (int128_t)r * g1; - f->v[0] = (int64_t)cf & M62; cf >>= 62; - g->v[0] = (int64_t)cg & M62; cg >>= 62; + secp256k1_i128_accum_mul(&cf, u, f1); + secp256k1_i128_accum_mul(&cf, v, g1); + secp256k1_i128_accum_mul(&cg, q, f1); + secp256k1_i128_accum_mul(&cg, r, g1); + f->v[0] = secp256k1_i128_to_i64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[0] = secp256k1_i128_to_i64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); /* Compute limb 2 of t*[f,g], and store it as output limb 1. */ - cf += (int128_t)u * f2 + (int128_t)v * g2; - cg += (int128_t)q * f2 + (int128_t)r * g2; - f->v[1] = (int64_t)cf & M62; cf >>= 62; - g->v[1] = (int64_t)cg & M62; cg >>= 62; + secp256k1_i128_accum_mul(&cf, u, f2); + secp256k1_i128_accum_mul(&cf, v, g2); + secp256k1_i128_accum_mul(&cg, q, f2); + secp256k1_i128_accum_mul(&cg, r, g2); + f->v[1] = secp256k1_i128_to_i64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[1] = secp256k1_i128_to_i64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); /* Compute limb 3 of t*[f,g], and store it as output limb 2. */ - cf += (int128_t)u * f3 + (int128_t)v * g3; - cg += (int128_t)q * f3 + (int128_t)r * g3; - f->v[2] = (int64_t)cf & M62; cf >>= 62; - g->v[2] = (int64_t)cg & M62; cg >>= 62; + secp256k1_i128_accum_mul(&cf, u, f3); + secp256k1_i128_accum_mul(&cf, v, g3); + secp256k1_i128_accum_mul(&cg, q, f3); + secp256k1_i128_accum_mul(&cg, r, g3); + f->v[2] = secp256k1_i128_to_i64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[2] = secp256k1_i128_to_i64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); /* Compute limb 4 of t*[f,g], and store it as output limb 3. */ - cf += (int128_t)u * f4 + (int128_t)v * g4; - cg += (int128_t)q * f4 + (int128_t)r * g4; - f->v[3] = (int64_t)cf & M62; cf >>= 62; - g->v[3] = (int64_t)cg & M62; cg >>= 62; + secp256k1_i128_accum_mul(&cf, u, f4); + secp256k1_i128_accum_mul(&cf, v, g4); + secp256k1_i128_accum_mul(&cg, q, f4); + secp256k1_i128_accum_mul(&cg, r, g4); + f->v[3] = secp256k1_i128_to_i64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[3] = secp256k1_i128_to_i64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); /* What remains is limb 5 of t*[f,g]; store it as output limb 4. */ - f->v[4] = (int64_t)cf; - g->v[4] = (int64_t)cg; + f->v[4] = secp256k1_i128_to_i64(&cf); + g->v[4] = secp256k1_i128_to_i64(&cg); } /* Compute (t/2^62) * [f, g], where t is a transition matrix for 62 divsteps. @@ -431,30 +554,34 @@ static void secp256k1_modinv64_update_fg_62_var(int len, secp256k1_modinv64_sign const int64_t M62 = (int64_t)(UINT64_MAX >> 2); const int64_t u = t->u, v = t->v, q = t->q, r = t->r; int64_t fi, gi; - int128_t cf, cg; + secp256k1_int128 cf, cg; int i; VERIFY_CHECK(len > 0); /* Start computing t*[f,g]. */ fi = f->v[0]; gi = g->v[0]; - cf = (int128_t)u * fi + (int128_t)v * gi; - cg = (int128_t)q * fi + (int128_t)r * gi; + secp256k1_i128_mul(&cf, u, fi); + secp256k1_i128_accum_mul(&cf, v, gi); + secp256k1_i128_mul(&cg, q, fi); + secp256k1_i128_accum_mul(&cg, r, gi); /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ - VERIFY_CHECK(((int64_t)cf & M62) == 0); cf >>= 62; - VERIFY_CHECK(((int64_t)cg & M62) == 0); cg >>= 62; + VERIFY_CHECK((secp256k1_i128_to_i64(&cf) & M62) == 0); secp256k1_i128_rshift(&cf, 62); + VERIFY_CHECK((secp256k1_i128_to_i64(&cg) & M62) == 0); secp256k1_i128_rshift(&cg, 62); /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting * down by 62 bits). */ for (i = 1; i < len; ++i) { fi = f->v[i]; gi = g->v[i]; - cf += (int128_t)u * fi + (int128_t)v * gi; - cg += (int128_t)q * fi + (int128_t)r * gi; - f->v[i - 1] = (int64_t)cf & M62; cf >>= 62; - g->v[i - 1] = (int64_t)cg & M62; cg >>= 62; + secp256k1_i128_accum_mul(&cf, u, fi); + secp256k1_i128_accum_mul(&cf, v, gi); + secp256k1_i128_accum_mul(&cg, q, fi); + secp256k1_i128_accum_mul(&cg, r, gi); + f->v[i - 1] = secp256k1_i128_to_i64(&cf) & M62; secp256k1_i128_rshift(&cf, 62); + g->v[i - 1] = secp256k1_i128_to_i64(&cg) & M62; secp256k1_i128_rshift(&cg, 62); } /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */ - f->v[len - 1] = (int64_t)cf; - g->v[len - 1] = (int64_t)cg; + f->v[len - 1] = secp256k1_i128_to_i64(&cf); + g->v[len - 1] = secp256k1_i128_to_i64(&cg); } /* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */ @@ -590,4 +717,71 @@ static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256 *x = d; } +/* Do up to 25 iterations of 62 posdivsteps (up to 1550 steps; more is extremely rare) each until f=1. + * In VERIFY mode use a lower number of iterations (744, close to the median 756), so failure actually occurs. */ +#ifdef VERIFY +#define JACOBI64_ITERATIONS 12 +#else +#define JACOBI64_ITERATIONS 25 +#endif + +/* Compute the Jacobi symbol of x modulo modinfo->modulus (variable time). gcd(x,modulus) must be 1, or x must be 0. */ +static int secp256k1_jacobi64_maybe_var(const secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) { + /* Start with f=modulus, g=x, eta=-1. */ + secp256k1_modinv64_signed62 f = modinfo->modulus; + secp256k1_modinv64_signed62 g = *x; + int j, len = 5; + int64_t eta = -1; /* eta = -delta; delta is initially 1 */ + int64_t cond, fn, gn; + int jac = 0; + int count; + + VERIFY_CHECK(g.v[0] >= 0 && g.v[1] >= 0 && g.v[2] >= 0 && g.v[3] >= 0 && g.v[4] >= 0); + + /* The loop below does not converge for input g=0. Deal with this case specifically. */ + if (!(g.v[0] | g.v[1] | g.v[2] | g.v[3] | g.v[4])) return 0; + + for (count = 0; count < JACOBI64_ITERATIONS; ++count) { + /* Compute transition matrix and new eta after 62 posdivsteps. */ + secp256k1_modinv64_trans2x2 t; + eta = secp256k1_modinv64_posdivsteps_62_var(eta, f.v[0] | ((uint64_t)f.v[1] << 62), g.v[0] | ((uint64_t)g.v[1] << 62), &t, &jac); + /* Update f,g using that transition matrix. */ +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); + /* If the bottom limb of f is 1, there is a chance that f=1. */ + if (f.v[0] == 1) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= f.v[j]; + } + /* If so, we're done. */ + if (cond == 0) return 1 - 2*(jac & 1); + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int64_t)len - 2) >> 63; + cond |= fn; + cond |= gn; + /* If so, reduce length. */ + if (cond == 0) --len; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 0) > 0); /* f > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 0) > 0); /* g > 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + } + + /* The loop failed to converge to f=g after 1550 iterations. Return -2, indicating unknown result. */ + return -2; +} + #endif /* SECP256K1_MODINV64_IMPL_H */ diff --git a/src/modules/ecdh/bench_impl.h b/src/modules/ecdh/bench_impl.h index 94d833462f..8df15bcf43 100644 --- a/src/modules/ecdh/bench_impl.h +++ b/src/modules/ecdh/bench_impl.h @@ -7,7 +7,7 @@ #ifndef SECP256K1_MODULE_ECDH_BENCH_H #define SECP256K1_MODULE_ECDH_BENCH_H -#include "../include/secp256k1_ecdh.h" +#include "../../../include/secp256k1_ecdh.h" typedef struct { secp256k1_context *ctx; diff --git a/src/modules/ecdh/tests_impl.h b/src/modules/ecdh/tests_impl.h index 10b7075c38..ce644d572a 100644 --- a/src/modules/ecdh/tests_impl.h +++ b/src/modules/ecdh/tests_impl.h @@ -26,7 +26,7 @@ int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, con void test_ecdh_api(void) { /* Setup context that just counts errors */ - secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); + secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); secp256k1_pubkey point; unsigned char res[32]; unsigned char s_one[32] = { 0 }; diff --git a/src/modules/ellswift/Makefile.am.include b/src/modules/ellswift/Makefile.am.include new file mode 100644 index 0000000000..e7efea2981 --- /dev/null +++ b/src/modules/ellswift/Makefile.am.include @@ -0,0 +1,4 @@ +include_HEADERS += include/secp256k1_ellswift.h +noinst_HEADERS += src/modules/ellswift/bench_impl.h +noinst_HEADERS += src/modules/ellswift/main_impl.h +noinst_HEADERS += src/modules/ellswift/tests_impl.h diff --git a/src/modules/ellswift/bench_impl.h b/src/modules/ellswift/bench_impl.h new file mode 100644 index 0000000000..0345511e12 --- /dev/null +++ b/src/modules/ellswift/bench_impl.h @@ -0,0 +1,100 @@ +/*********************************************************************** + * Copyright (c) 2022 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_BENCH_H +#define SECP256K1_MODULE_ELLSWIFT_BENCH_H + +#include "../include/secp256k1_ellswift.h" + +typedef struct { + secp256k1_context *ctx; + secp256k1_pubkey point[256]; + unsigned char rnd64[64]; +} bench_ellswift_data; + +static void bench_ellswift_setup(void* arg) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + static const unsigned char init[64] = { + 0x78, 0x1f, 0xb7, 0xd4, 0x67, 0x7f, 0x08, 0x68, + 0xdb, 0xe3, 0x1d, 0x7f, 0x1b, 0xb0, 0xf6, 0x9e, + 0x0a, 0x64, 0xca, 0x32, 0x9e, 0xc6, 0x20, 0x79, + 0x03, 0xf3, 0xd0, 0x46, 0x7a, 0x0f, 0xd2, 0x21, + 0xb0, 0x2c, 0x46, 0xd8, 0xba, 0xca, 0x26, 0x4f, + 0x8f, 0x8c, 0xd4, 0xdd, 0x2d, 0x04, 0xbe, 0x30, + 0x48, 0x51, 0x1e, 0xd4, 0x16, 0xfd, 0x42, 0x85, + 0x62, 0xc9, 0x02, 0xf9, 0x89, 0x84, 0xff, 0xdc + }; + memcpy(data->rnd64, init, 64); + for (i = 0; i < 256; ++i) { + int j; + CHECK(secp256k1_ellswift_decode(data->ctx, &data->point[i], data->rnd64)); + for (j = 0; j < 64; ++j) { + data->rnd64[j] += 1; + } + } + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[255], init + 16)); +} + +static void bench_ellswift_encode(void* arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_encode(data->ctx, data->rnd64, &data->point[i & 255], data->rnd64 + 16)); + } +} + +static void bench_ellswift_create(void* arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + unsigned char buf[64]; + CHECK(secp256k1_ellswift_create(data->ctx, buf, data->rnd64, data->rnd64 + 32)); + memcpy(data->rnd64, buf, 64); + } +} + +static void bench_ellswift_decode(void* arg, int iters) { + int i; + secp256k1_pubkey out; + size_t len; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_decode(data->ctx, &out, data->rnd64) == 1); + len = 33; + CHECK(secp256k1_ec_pubkey_serialize(data->ctx, data->rnd64 + (i % 32), &len, &out, SECP256K1_EC_COMPRESSED)); + } +} + +static void bench_ellswift_xdh(void* arg, int iters) { + int i; + bench_ellswift_data *data = (bench_ellswift_data*)arg; + + for (i = 0; i < iters; i++) { + CHECK(secp256k1_ellswift_xdh(data->ctx, data->rnd64 + (i % 33), data->rnd64, data->rnd64, data->rnd64 + ((i + 16) % 33), NULL, NULL) == 1); + } +} + +void run_ellswift_bench(int iters, int argc, char** argv) { + bench_ellswift_data data; + int d = argc == 1; + + /* create a context with signing capabilities */ + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); + memset(data.rnd64, 11, sizeof(data.rnd64)); + + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "encode") || have_flag(argc, argv, "ellswift_encode")) run_benchmark("ellswift_encode", bench_ellswift_encode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "decode") || have_flag(argc, argv, "ellswift_decode")) run_benchmark("ellswift_decode", bench_ellswift_decode, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "keygen") || have_flag(argc, argv, "ellswift_keygen")) run_benchmark("ellswift_keygen", bench_ellswift_create, bench_ellswift_setup, NULL, &data, 10, iters); + if (d || have_flag(argc, argv, "ellswift") || have_flag(argc, argv, "ecdh") || have_flag(argc, argv, "ellswift_ecdh")) run_benchmark("ellswift_ecdh", bench_ellswift_xdh, bench_ellswift_setup, NULL, &data, 10, iters); + + secp256k1_context_destroy(data.ctx); +} + +#endif /* SECP256K1_MODULE_ellswift_BENCH_H */ diff --git a/src/modules/ellswift/main_impl.h b/src/modules/ellswift/main_impl.h new file mode 100644 index 0000000000..5795b717a9 --- /dev/null +++ b/src/modules/ellswift/main_impl.h @@ -0,0 +1,462 @@ +/*********************************************************************** + * Copyright (c) 2022 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_MAIN_H +#define SECP256K1_MODULE_ELLSWIFT_MAIN_H + +#include "../../../include/secp256k1.h" +#include "../../../include/secp256k1_ellswift.h" +#include "../../hash.h" + +/** c1 = (sqrt(-3)-1)/2 */ +static const secp256k1_fe secp256k1_ellswift_c1 = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa40); +/** c2 = (-sqrt(-3)-1)/2 = -(c1+1) */ +static const secp256k1_fe secp256k1_ellswift_c2 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ee); +/** c3 = (-sqrt(-3)+1)/2 = -c1 = c2+1 */ +static const secp256k1_fe secp256k1_ellswift_c3 = SECP256K1_FE_CONST(0x7ae96a2b, 0x657c0710, 0x6e64479e, 0xac3434e9, 0x9cf04975, 0x12f58995, 0xc1396c28, 0x719501ef); + +/** Decode ElligatorSwift encoding (u, t) to a fraction xn/xd representing a curve X coordinate. */ +static void secp256k1_ellswift_xswiftec_frac_var(secp256k1_fe* xn, secp256k1_fe* xd, const secp256k1_fe* u, const secp256k1_fe* t) { + /* The implemented algorithm is the following (all operations in GF(p)): + * + * - c0 = sqrt(-3) = 0xa2d2ba93507f1df233770c2a797962cc61f6d15da14ecd47d8d27ae1cd5f852 + * - If u=0, set u=1. + * - If t=0, set t=1. + * - If u^3+7+t^2 = 0, set t=2*t. + * - Let X=(u^3+7-t^2)/(2*t) + * - Let Y=(X+t)/(c0*u) + * - If x3=u+4*Y^2 is a valid x coordinate, return x3. + * - If x2=(-X/Y-u)/2 is a valid x coordinare, return x2. + * - Return x1=(X/Y-u)/2 (which is now guaranteed to be a valid x coordinate). + * + * Introducing s=t^2, g=u^3+7, and simplifying x1=-(x2+u) we get: + * + * - ... + * - Let s=t^2 + * - Let g=u^3+7 + * - If g+s=0, set t=2*t, s=4*s + * - Let X=(g-s)/(2*t) + * - Let Y=(X+t)/(c0*u) = (g+s)/(2*c0*t*u) + * - If x3=u+4*Y^2 is a valid x coordinate, return x3. + * - If x2=(-X/Y-u)/2 is a valid x coordinate, return it. + * - Return x1=-(x2+u). + * + * Now substitute Y^2 = -(g+s)^2/(12*s*u^2) and X/Y = c0*u*(g-s)/(g+s) + * + * - ... + * - If g+s=0, set s=4*s + * - If x3=u-(g+s)^2/(3*s*u^2) is a valid x coordinate, return it. + * - If x2=(-c0*u*(g-s)/(g+s)-u)/2 is a valid x coordinate, return it. + * - Return x1=(c0*u*(g-s)/(g+s)-u)/2. + * + * Simplifying x2 using 2 additional constants: + * + * - c1 = (c0-1)/2 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40 + * - c2 = (-c0-1)/2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee + * - ... + * - If x2=u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - ... + * + * Writing x3 as a fraction: + * + * - ... + * - If x3=(3*s*u^3-(g+s)^2)/(3*s*u^2) + * - ... + + * Overall, we get: + * + * - c1 = 0x851695d49a83f8ef919bb86153cbcb16630fb68aed0a766a3ec693d68e6afa40 + * - c2 = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee + * - If u=0, set u=1. + * - If t=0, set s=1, else set s=t^2 + * - Let g=u^3+7 + * - If g+s=0, set s=4*s + * - If x3=(3*s*u^3-(g+s)^2)/(3*s*u^2) is a valid x coordinate, return it. + * - If x2=u*(c1*s+c2*g)/(g+s) is a valid x coordinate, return it. + * - Return x1=-(x2+u) + */ + secp256k1_fe u1, s, g, p, d, n, l; + u1 = *u; + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&u1), 0)) u1 = secp256k1_fe_one; + secp256k1_fe_sqr(&s, t); + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(t), 0)) s = secp256k1_fe_one; + secp256k1_fe_sqr(&l, &u1); /* l = u^2 */ + secp256k1_fe_mul(&g, &l, &u1); /* g = u^3 */ + secp256k1_fe_add(&g, &secp256k1_fe_const_b); /* g = u^3 + 7 */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + if (EXPECT(secp256k1_fe_normalizes_to_zero_var(&p), 0)) { + secp256k1_fe_mul_int(&s, 4); /* s = 4*s */ + /* recompute p = g+s */ + p = g; /* p = g */ + secp256k1_fe_add(&p, &s); /* p = g+s */ + } + secp256k1_fe_mul(&d, &s, &l); /* d = s*u^2 */ + secp256k1_fe_mul_int(&d, 3); /* d = 3*s*u^2 */ + secp256k1_fe_sqr(&l, &p); /* l = (g+s)^2 */ + secp256k1_fe_negate(&l, &l, 1); /* l = -(g+s)^2 */ + secp256k1_fe_mul(&n, &d, &u1); /* n = 3*s*u^3 */ + secp256k1_fe_add(&n, &l); /* n = 3*s*u^3-(g+s)^2 */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &d)) { + /* Return n/d = (3*s*u^3-(g+s)^2)/(3*s*u^2) */ + *xn = n; + *xd = d; + return; + } + *xd = p; + secp256k1_fe_mul(&l, &secp256k1_ellswift_c1, &s); /* l = c1*s */ + secp256k1_fe_mul(&n, &secp256k1_ellswift_c2, &g); /* n = c2*g */ + secp256k1_fe_add(&n, &l); /* n = c1*s+c2*g */ + secp256k1_fe_mul(&n, &n, &u1); /* n = u*(c1*s+c2*g) */ + /* Possible optimization: in the invocation below, d^2 = (g+s)^2 is computed, + * which we already have computed above. This could be deduplicated. */ + if (secp256k1_ge_x_frac_on_curve_var(&n, &p)) { + /* Return n/p = u*(c1*s+c2*g)/(g+s) */ + *xn = n; + return; + } + secp256k1_fe_mul(&l, &p, &u1); /* l = u*(g+s) */ + secp256k1_fe_add(&n, &l); /* n = u*(c1*s+c2*g)+u*g*s */ + secp256k1_fe_negate(xn, &n, 2); /* n = -u*(c1*s+c2*g)+u*g*s */ +#ifdef VERIFY + VERIFY_CHECK(secp256k1_ge_x_frac_on_curve_var(xn, &p)); +#endif + /* Return n/p = -(u*(c1*s+c2*g)/(g+s)+u) */ +} + +/** Decode ElligatorSwift encoding (u, t) to X coordinate. */ +static void secp256k1_ellswift_xswiftec_var(secp256k1_fe* x, const secp256k1_fe* u, const secp256k1_fe* t) { + secp256k1_fe xn, xd; + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, u, t); + secp256k1_fe_inv_var(&xd, &xd); + secp256k1_fe_mul(x, &xn, &xd); +} + +/** Decode ElligatorSwift encoding (u, t) to point P. */ +static void secp256k1_ellswift_swiftec_var(secp256k1_ge* p, const secp256k1_fe* u, const secp256k1_fe* t) { + secp256k1_fe x; + secp256k1_ellswift_xswiftec_var(&x, u, t); + secp256k1_ge_set_xo_var(p, &x, secp256k1_fe_is_odd(t)); +} + +/* Try to complete an ElligatorSwift encoding (u, t) for X coordinate x, given u and x. + * + * There may be up to 8 distinct t values such that (u, t) decodes back to x, but also + * fewer, or none at all. Each such partial inverse can be accessed individually using a + * distinct input argument c (in range 0-7), and some or all of these may return failure. + * The following guarantees exist: + * - Given (x, u), no two distinct c values give the same successful result t. + * - Every successful result maps back to x through secp256k1_ellswift_xswiftec_var. + * - Given (x, u), all t values that map back to x can be reached by combining the + * successful results from this function over all c values, with the exception of: + * - this function cannot be called with u=0 + * - no result with t=0 will be returned + * - no result for which u^3 + t^2 + 7 = 0 will be returned. + */ +static int secp256k1_ellswift_xswiftec_inv_var(secp256k1_fe* t, const secp256k1_fe* x, const secp256k1_fe* u, int c) { + /* The implemented algorithm is this (all arithmetic, except involving c, is mod p): + * + * - If (c & 2) = 0: + * - If (-x-u) is a valid X coordinate, fail. + * - If (c & 1) = 0, let v=x; otherwise, let v=-x-u. + * - Let s=-(u^3+7)/(u^2+u*v+v^2) + * - If (c & 2) = 2: + * - Let s=x-u + * - If s=0, fail. + * - Let r=sqrt(-s*(4*(u^3+7)+3*u^2*s)); fail if it doesn't exist + * - If (c & 1) = 1: + * - If r=0, fail. + * - Let r=-r. + * - Let v=(r/s-u)/2. + * - Let w=sqrt(s); fail if it doesn't exist. + * - If (c & 4) = 4, let w=-w. + * - Return w*(c1*u-v). + */ + secp256k1_fe v = *x, um = *u; /* v = x; um = u */ + secp256k1_fe g, m, s, w; + secp256k1_fe_normalize_weak(&v); + secp256k1_fe_normalize_weak(&um); + secp256k1_fe_sqr(&g, u); /* g = u^2 */ + secp256k1_fe_mul(&g, &g, u); /* g = u^3 */ + secp256k1_fe_add(&g, &secp256k1_fe_const_b); /* g = u^3+7 */ + if (!(c & 2)) { + secp256k1_fe o; + m = v; /* m = x */ + secp256k1_fe_add(&m, &um); /* m = x+u */ + secp256k1_fe_negate(&m, &m, 2); /* m = -(x+u) */ + if (secp256k1_ge_x_on_curve_var(&m)) return 0; /* test if -(x+u) on curve */ + if (c & 1) v = m; /* if c&1, v = -x-u */ + /* v = algorithm v */ + o = um; /* o = u */ + secp256k1_fe_add(&o, &v); /* o = u+v */ + secp256k1_fe_sqr(&o, &o); /* o = (u+v)^2 */ + secp256k1_fe_negate(&o, &o, 1); /* o = -(u+v)^2 */ + secp256k1_fe_mul(&s, &um, &v); /* s = u*v */ + secp256k1_fe_add(&s, &o); /* s = u*v-(u+v)^2 = -(u^2+u*v+v^2) */ + secp256k1_fe_mul(&m, &s, &g); /* m = -(u^3+7)*(u^2+u*v+v^2) [= algorithm s*(u^2+u*v+v^2)^2] */ + if (secp256k1_fe_jacobi_var(&m) < 0) return 0; /* algorithm s is square iff m is square */ + secp256k1_fe_inv_var(&s, &s); /* s = -1/(u^2+u*v+v^2) */ + secp256k1_fe_mul(&s, &s, &g); /* s = -(u^3+7)/(u^2+u*v+v^2) [= algorithm s] */ + } else { + secp256k1_fe r2, r; + secp256k1_fe_negate(&m, &um, 1); /* m = -u */ + s = m; + secp256k1_fe_add(&s, &v); /* s = x-u [= algorithm s] */ + if (secp256k1_fe_normalizes_to_zero_var(&s)) return 0; /* test s=0 */ + if (secp256k1_fe_jacobi_var(&s) < 0) return 0; /* early squareness check of s */ + secp256k1_fe_normalize_weak(&g); + secp256k1_fe_mul_int(&g, 4); /* g = 4*(u^3+7) */ + secp256k1_fe_sqr(&r2, &um); /* r2 = u^2 */ + secp256k1_fe_mul_int(&r2, 3); /* r2 = 3*u^2 */ + secp256k1_fe_mul(&r2, &r2, &s); /* r2 = 3*u^2*s */ + secp256k1_fe_add(&r2, &g); /* r2 = 4*(u^3+7)+3*u^2*s */ + secp256k1_fe_mul(&r2, &r2, &s); /* r2 = s*(4*(u^3+7)+3*u^2*s) */ + secp256k1_fe_negate(&r2, &r2, 1); /* r2 = -s*(4*(u^3+7)+3*u^2*s) */ + if (secp256k1_fe_jacobi_var(&r2) < 0) return 0; + VERIFY_CHECK(secp256k1_fe_sqrt(&r, &r2)); /* r = sqrt(r2) [= algorithm r] */ + if (c & 1) { + if (secp256k1_fe_normalizes_to_zero_var(&r)) return 0; /* test r=0 */ + secp256k1_fe_negate(&r, &r, 1); /* r=-r [= algorithm r] */ + } + secp256k1_fe_inv_var(&v, &s); /* v = 1/s */ + secp256k1_fe_mul(&v, &v, &r); /* v = r/s */ + secp256k1_fe_add(&v, &m); /* v = r/s-u */ + secp256k1_fe_half(&v); /* v = (r/s-u)/2 [= algorithm v] */ + } + VERIFY_CHECK(secp256k1_fe_sqrt(&w, &s)); /* w = sqrt(s) [= algorithm w] */ + if (!(c & 4)) secp256k1_fe_negate(&w, &w, 1); /* w = -w [= algorithm -w] */ + secp256k1_fe_mul(&um, &um, &secp256k1_ellswift_c3); /* um = c3*u = -c1*u */ + secp256k1_fe_add(&um, &v); /* um = v-c1*u */ + secp256k1_fe_mul(t, &w, &um); /* t = -w*(v-c1*u) = w*(c1-u) */ + return 1; +} + +/** Find an ElligatorSwift encoding (u, t) for X coordinate x. + * + * hasher is a SHA256 object which a incrementing 4-byte counter is added to to + * generate randomness for the rejection sampling in this function. Its size plus + * 4 (for the counter) plus 9 (for the SHA256 padding) must be a multiple of 64 + * for efficiency reasons. + */ +static void secp256k1_ellswift_xelligatorswift_var(secp256k1_fe* u, secp256k1_fe* t, const secp256k1_fe* x, const secp256k1_sha256* hasher) { + /* Pool of 3-bit branch values. */ + unsigned char branch_hash[32]; + /* Number of 3-bit values in branch_hash left. */ + int branches_left = 0; + /* Field elements u and branch values are extracted from + * SHA256(hasher || cnt) for consecutive values of cnt. cnt==0 + * is first used to populate a pool of 64 4-bit branch values. The 64 cnt + * values that follow are used to generate field elements u. cnt==65 (and + * multiples thereof) are used to repopulate the pool and start over, if + * that were ever necessary. */ + uint32_t cnt = 0; + VERIFY_CHECK((hasher->bytes + 4 + 9) % 64 == 0); + while (1) { + int branch; + /* If the pool of branch values is empty, populate it. */ + if (branches_left == 0) { + secp256k1_sha256 hash = *hasher; + unsigned char buf4[4]; + buf4[0] = cnt; + buf4[1] = cnt >> 8; + buf4[2] = cnt >> 16; + buf4[3] = cnt >> 24; + ++cnt; + secp256k1_sha256_write(&hash, buf4, 4); + secp256k1_sha256_finalize(&hash, branch_hash); + branches_left = 64; + } + /* Take a 3-bit branch value from the branch pool (top bit is discarded). */ + --branches_left; + branch = (branch_hash[branches_left >> 1] >> ((branches_left & 1) << 2)) & 7; + /* Compute a new u value by hashing. */ + { + secp256k1_sha256 hash = *hasher; + unsigned char buf4[4]; + unsigned char u32[32]; + buf4[0] = cnt; + buf4[1] = cnt >> 8; + buf4[2] = cnt >> 16; + buf4[3] = cnt >> 24; + ++cnt; + secp256k1_sha256_write(&hash, buf4, 4); + secp256k1_sha256_finalize(&hash, u32); + if (!secp256k1_fe_set_b32(u, u32)) continue; + if (secp256k1_fe_is_zero(u)) continue; + } + /* Find a remainder t, and return it if found. */ + if (secp256k1_ellswift_xswiftec_inv_var(t, x, u, branch)) { + secp256k1_fe_normalize_var(t); + break; + } + } +} + +/** Find an ElligatorSwift encoding (u, t) for point P. */ +static void secp256k1_ellswift_elligatorswift_var(secp256k1_fe* u, secp256k1_fe* t, const secp256k1_ge* p, const secp256k1_sha256* hasher) { + secp256k1_ellswift_xelligatorswift_var(u, t, &p->x, hasher); + if (secp256k1_fe_is_odd(t) != secp256k1_fe_is_odd(&p->y)) { + secp256k1_fe_negate(t, t, 1); + secp256k1_fe_normalize_var(t); + } +} + +int secp256k1_ellswift_encode(const secp256k1_context* ctx, unsigned char *ell64, const secp256k1_pubkey *pubkey, const unsigned char *rnd32) { + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(rnd32 != NULL); + + if (secp256k1_pubkey_load(ctx, &p, pubkey)) { + static const unsigned char PREFIX[128 - 9 - 4 - 32 - 33] = "secp256k1_ellswift_encode"; + secp256k1_fe u, t; + unsigned char p33[33]; + secp256k1_sha256 hash; + + /* Set up hasher state */ + secp256k1_sha256_initialize(&hash); + secp256k1_sha256_write(&hash, PREFIX, sizeof(PREFIX)); + secp256k1_sha256_write(&hash, rnd32, 32); + secp256k1_fe_get_b32(p33, &p.x); + p33[32] = secp256k1_fe_is_odd(&p.y); + secp256k1_sha256_write(&hash, p33, sizeof(p33)); + VERIFY_CHECK(hash.bytes == 128 - 9 - 4); + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(&u, &t, &p, &hash); + secp256k1_fe_get_b32(ell64, &u); + secp256k1_fe_get_b32(ell64 + 32, &t); + return 1; + } + /* Only returned in case the provided pubkey is invalid. */ + return 0; +} + +int secp256k1_ellswift_create(const secp256k1_context* ctx, unsigned char *ell64, const unsigned char *seckey32, const unsigned char *rnd32) { + secp256k1_ge p; + secp256k1_fe u, t; + secp256k1_sha256 hash; + secp256k1_scalar seckey_scalar; + static const unsigned char PREFIX[32] = "secp256k1_ellswift_create"; + static const unsigned char ZERO[32] = {0}; + int ret = 0; + + /* Sanity check inputs. */ + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(ell64 != NULL); + memset(ell64, 0, 64); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); + ARG_CHECK(seckey32 != NULL); + + /* Compute (affine) public key */ + ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey32); + secp256k1_declassify(ctx, &p, sizeof(p)); /* not constant time in produced pubkey */ + secp256k1_fe_normalize_var(&p.x); + secp256k1_fe_normalize_var(&p.y); + + /* Set up hasher state */ + secp256k1_sha256_initialize(&hash); + secp256k1_sha256_write(&hash, PREFIX, sizeof(PREFIX)); + secp256k1_sha256_write(&hash, seckey32, 32); + secp256k1_sha256_write(&hash, rnd32 ? rnd32 : ZERO, 32); + secp256k1_sha256_write(&hash, ZERO, 32 - 9 - 4); + secp256k1_declassify(ctx, &hash, sizeof(hash)); /* hasher gets to declassify private key */ + + /* Compute ElligatorSwift encoding and construct output. */ + secp256k1_ellswift_elligatorswift_var(&u, &t, &p, &hash); + secp256k1_fe_get_b32(ell64, &u); + secp256k1_fe_get_b32(ell64 + 32, &t); + + secp256k1_memczero(ell64, 64, !ret); + secp256k1_scalar_clear(&seckey_scalar); + + return ret; +} + +int secp256k1_ellswift_decode(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *ell64) { + secp256k1_fe u, t; + secp256k1_ge p; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + ARG_CHECK(ell64 != NULL); + + secp256k1_fe_set_b32(&u, ell64); + secp256k1_fe_normalize_var(&u); + secp256k1_fe_set_b32(&t, ell64 + 32); + secp256k1_fe_normalize_var(&t); + secp256k1_ellswift_swiftec_var(&p, &u, &t); + secp256k1_pubkey_save(pubkey, &p); + return 1; +} + +static int ellswift_xdh_hash_function_sha256(unsigned char *output, const unsigned char *x32, const unsigned char *ours64, const unsigned char *theirs64, void *data) { + secp256k1_sha256 sha; + + (void)data; + + secp256k1_sha256_initialize(&sha); + if (secp256k1_memcmp_var(ours64, theirs64, 64) <= 0) { + secp256k1_sha256_write(&sha, ours64, 64); + secp256k1_sha256_write(&sha, theirs64, 64); + } else { + secp256k1_sha256_write(&sha, theirs64, 64); + secp256k1_sha256_write(&sha, ours64, 64); + } + secp256k1_sha256_write(&sha, x32, 32); + secp256k1_sha256_finalize(&sha, output); + + return 1; +} + +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_sha256 = ellswift_xdh_hash_function_sha256; +const secp256k1_ellswift_xdh_hash_function secp256k1_ellswift_xdh_hash_function_default = ellswift_xdh_hash_function_sha256; + +int secp256k1_ellswift_xdh(const secp256k1_context* ctx, unsigned char *output, const unsigned char* theirs64, const unsigned char* ours64, const unsigned char* seckey32, secp256k1_ellswift_xdh_hash_function hashfp, void *data) { + int ret = 0; + int overflow; + secp256k1_scalar s; + secp256k1_fe xn, xd, px, u, t; + unsigned char sx[32]; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output != NULL); + ARG_CHECK(theirs64 != NULL); + ARG_CHECK(ours64 != NULL); + ARG_CHECK(seckey32 != NULL); + + if (hashfp == NULL) { + hashfp = secp256k1_ellswift_xdh_hash_function_default; + } + + /* Load remote public key (as fraction). */ + secp256k1_fe_set_b32(&u, theirs64); + secp256k1_fe_normalize_var(&u); + secp256k1_fe_set_b32(&t, theirs64 + 32); + secp256k1_fe_normalize_var(&t); + secp256k1_ellswift_xswiftec_frac_var(&xn, &xd, &u, &t); + + /* Load private key (using one if invalid). */ + secp256k1_scalar_set_b32(&s, seckey32, &overflow); + overflow = secp256k1_scalar_is_zero(&s); + secp256k1_scalar_cmov(&s, &secp256k1_scalar_one, overflow); + + /* Compute shared X coordinate. */ + secp256k1_ecmult_const_xonly(&px, &xn, &xd, &s, 256, 1); + secp256k1_fe_normalize(&px); + secp256k1_fe_get_b32(sx, &px); + + /* Invoke hasher */ + ret = hashfp(output, sx, ours64, theirs64, data); + + memset(sx, 0, 32); + secp256k1_fe_clear(&px); + secp256k1_scalar_clear(&s); + + return !!ret & !overflow; +} + +#endif diff --git a/src/modules/ellswift/tests_impl.h b/src/modules/ellswift/tests_impl.h new file mode 100644 index 0000000000..cd73eb03cf --- /dev/null +++ b/src/modules/ellswift/tests_impl.h @@ -0,0 +1,292 @@ +/*********************************************************************** + * Copyright (c) 2022 Pieter Wuile * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_MODULE_ELLSWIFT_TESTS_H +#define SECP256K1_MODULE_ELLSWIFT_TESTS_H + +#include "../../../include/secp256k1_ellswift.h" + +struct ellswift_xswiftec_inv_test { + int enc_bitmap; + secp256k1_fe u; + secp256k1_fe x; + secp256k1_fe encs[8]; +}; + +struct ellswift_decode_test { + unsigned char enc[64]; + secp256k1_fe x; + int odd_y; +}; + +/* Set of (point, encodings) test vectors, selected to maximize branch coverage. + * Created using an independent implementation, and tested against paper author's code. */ +static const struct ellswift_xswiftec_inv_test ellswift_xswiftec_inv_tests[] = { + {0xcc, SECP256K1_FE_CONST(0x05ff6bda, 0xd900fc32, 0x61bc7fe3, 0x4e2fb0f5, 0x69f06e09, 0x1ae437d3, 0xa52e9da0, 0xcbfb9590), SECP256K1_FE_CONST(0x80cdf637, 0x74ec7022, 0xc89a5a85, 0x58e373a2, 0x79170285, 0xe0ab2741, 0x2dbce510, 0xbdfe23fc), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x45654798, 0xece071ba, 0x79286d04, 0xf7f3eb1c, 0x3f1d17dd, 0x883610f2, 0xad2efd82, 0xa287466b), SECP256K1_FE_CONST(0x0aeaa886, 0xf6b76c71, 0x58452418, 0xcbf5033a, 0xdc5747e9, 0xe9b5d3b2, 0x303db969, 0x36528557), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xba9ab867, 0x131f8e45, 0x86d792fb, 0x080c14e3, 0xc0e2e822, 0x77c9ef0d, 0x52d1027c, 0x5d78b5c4), SECP256K1_FE_CONST(0xf5155779, 0x0948938e, 0xa7badbe7, 0x340afcc5, 0x23a8b816, 0x164a2c4d, 0xcfc24695, 0xc9ad76d8)}}, + {0x33, SECP256K1_FE_CONST(0x1737a85f, 0x4c8d146c, 0xec96e3ff, 0xdca76d99, 0x03dcf3bd, 0x53061868, 0xd478c78c, 0x63c2aa9e), SECP256K1_FE_CONST(0x39e48dd1, 0x50d2f429, 0xbe088dfd, 0x5b61882e, 0x7e840748, 0x3702ae9a, 0x5ab35927, 0xb15f85ea), {SECP256K1_FE_CONST(0x1be8cc0b, 0x04be0c68, 0x1d0c6a68, 0xf733f82c, 0x6c896e0c, 0x8a262fcd, 0x392918e3, 0x03a7abf4), SECP256K1_FE_CONST(0x605b5814, 0xbf9b8cb0, 0x66667c9e, 0x5480d22d, 0xc5b6c92f, 0x14b4af3e, 0xe0a9eb83, 0xb03685e3), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xe41733f4, 0xfb41f397, 0xe2f39597, 0x08cc07d3, 0x937691f3, 0x75d9d032, 0xc6d6e71b, 0xfc58503b), SECP256K1_FE_CONST(0x9fa4a7eb, 0x4064734f, 0x99998361, 0xab7f2dd2, 0x3a4936d0, 0xeb4b50c1, 0x1f56147b, 0x4fc9764c), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x1aaa1cce, 0xbf9c7241, 0x91033df3, 0x66b36f69, 0x1c4d902c, 0x228033ff, 0x4516d122, 0xb2564f68), SECP256K1_FE_CONST(0xc7554125, 0x9d3ba98f, 0x207eaa30, 0xc69634d1, 0x87d0b6da, 0x594e719e, 0x420f4898, 0x638fc5b0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2323a1d0, 0x79b0fd72, 0xfc8bb62e, 0xc34230a8, 0x15cb0596, 0xc2bfac99, 0x8bd6b842, 0x60f5dc26), SECP256K1_FE_CONST(0x239342df, 0xb675500a, 0x34a19631, 0x0b8d87d5, 0x4f49dcac, 0x9da50c17, 0x43ceab41, 0xa7b249ff), {SECP256K1_FE_CONST(0xf63580b8, 0xaa49c484, 0x6de56e39, 0xe1b3e73f, 0x171e881e, 0xba8c66f6, 0x14e67e5c, 0x975dfc07), SECP256K1_FE_CONST(0xb6307b33, 0x2e699f1c, 0xf77841d9, 0x0af25365, 0x404deb7f, 0xed5edb30, 0x90db49e6, 0x42a156b6), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x09ca7f47, 0x55b63b7b, 0x921a91c6, 0x1e4c18c0, 0xe8e177e1, 0x45739909, 0xeb1981a2, 0x68a20028), SECP256K1_FE_CONST(0x49cf84cc, 0xd19660e3, 0x0887be26, 0xf50dac9a, 0xbfb21480, 0x12a124cf, 0x6f24b618, 0xbd5ea579), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x2dc90e64, 0x0cb646ae, 0x9164c0b5, 0xa9ef0169, 0xfebe34dc, 0x4437d6e4, 0x6acb0e27, 0xe219d1e8), SECP256K1_FE_CONST(0xd236f19b, 0xf349b951, 0x6e9b3f4a, 0x5610fe96, 0x0141cb23, 0xbbc8291b, 0x9534f1d7, 0x1de62a47), {SECP256K1_FE_CONST(0xe69df7d9, 0xc026c366, 0x00ebdf58, 0x80726758, 0x47c0c431, 0xc8eb7306, 0x82533e96, 0x4b6252c9), SECP256K1_FE_CONST(0x4f18bbdf, 0x7c2d6c5f, 0x818c1880, 0x2fa35cd0, 0x69eaa79f, 0xff74e4fc, 0x837c80d9, 0x3fece2f8), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x19620826, 0x3fd93c99, 0xff1420a7, 0x7f8d98a7, 0xb83f3bce, 0x37148cf9, 0x7dacc168, 0xb49da966), SECP256K1_FE_CONST(0xb0e74420, 0x83d293a0, 0x7e73e77f, 0xd05ca32f, 0x96155860, 0x008b1b03, 0x7c837f25, 0xc0131937), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0x3edd7b39, 0x80e2f2f3, 0x4d1409a2, 0x07069f88, 0x1fda5f96, 0xf08027ac, 0x4465b63d, 0xc278d672), SECP256K1_FE_CONST(0x053a98de, 0x4a27b196, 0x1155822b, 0x3a3121f0, 0x3b2a1445, 0x8bd80eb4, 0xa560c4c7, 0xa85c149c), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb3dae4b7, 0xdcf858e4, 0xc6968057, 0xcef2b156, 0x46543152, 0x6538199c, 0xf52dc1b2, 0xd62fda30), SECP256K1_FE_CONST(0x4aa77dd5, 0x5d6b6d3c, 0xfa10cc9d, 0x0fe42f79, 0x232e4575, 0x661049ae, 0x36779c1d, 0x0c666d88), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x4c251b48, 0x2307a71b, 0x39697fa8, 0x310d4ea9, 0xb9abcead, 0x9ac7e663, 0x0ad23e4c, 0x29d021ff), SECP256K1_FE_CONST(0xb558822a, 0xa29492c3, 0x05ef3362, 0xf01bd086, 0xdcd1ba8a, 0x99efb651, 0xc98863e1, 0xf3998ea7)}}, + {0x00, SECP256K1_FE_CONST(0x4295737e, 0xfcb1da6f, 0xb1d96b9c, 0xa7dcd1e3, 0x20024b37, 0xa736c494, 0x8b625981, 0x73069f70), SECP256K1_FE_CONST(0xfa7ffe4f, 0x25f88362, 0x831c087a, 0xfe2e8a9b, 0x0713e2ca, 0xc1ddca6a, 0x383205a2, 0x66f14307), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0x587c1a0c, 0xee91939e, 0x7f784d23, 0xb963004a, 0x3bf44f5d, 0x4e32a008, 0x1995ba20, 0xb0fca59e), SECP256K1_FE_CONST(0x2ea98853, 0x0715e8d1, 0x0363907f, 0xf2512452, 0x4d471ba2, 0x454d5ce3, 0xbe3f0419, 0x4dfd3a3c), {SECP256K1_FE_CONST(0xcfd5a094, 0xaa0b9b88, 0x91b76c6a, 0xb9438f66, 0xaa1c095a, 0x65f9f701, 0x35e81712, 0x92245e74), SECP256K1_FE_CONST(0xa89057d7, 0xc6563f0d, 0x6efa19ae, 0x84412b8a, 0x7b47e791, 0xa191ecdf, 0xdf2af84f, 0xd97bc339), SECP256K1_FE_CONST(0x475d0ae9, 0xef46920d, 0xf07b3411, 0x7be5a081, 0x7de1023e, 0x3cc32689, 0xe9be145b, 0x406b0aef), SECP256K1_FE_CONST(0xa0759178, 0xad802324, 0x54f827ef, 0x05ea3e72, 0xad8d7541, 0x8e6d4cc1, 0xcd4f5306, 0xc5e7c453), SECP256K1_FE_CONST(0x302a5f6b, 0x55f46477, 0x6e489395, 0x46bc7099, 0x55e3f6a5, 0x9a0608fe, 0xca17e8ec, 0x6ddb9dbb), SECP256K1_FE_CONST(0x576fa828, 0x39a9c0f2, 0x9105e651, 0x7bbed475, 0x84b8186e, 0x5e6e1320, 0x20d507af, 0x268438f6), SECP256K1_FE_CONST(0xb8a2f516, 0x10b96df2, 0x0f84cbee, 0x841a5f7e, 0x821efdc1, 0xc33cd976, 0x1641eba3, 0xbf94f140), SECP256K1_FE_CONST(0x5f8a6e87, 0x527fdcdb, 0xab07d810, 0xfa15c18d, 0x52728abe, 0x7192b33e, 0x32b0acf8, 0x3a1837dc)}}, + {0xcc, SECP256K1_FE_CONST(0x5fa88b33, 0x65a635cb, 0xbcee003c, 0xce9ef51d, 0xd1a310de, 0x277e441a, 0xbccdb7be, 0x1e4ba249), SECP256K1_FE_CONST(0x79461ff6, 0x2bfcbcac, 0x4249ba84, 0xdd040f2c, 0xec3c63f7, 0x25204dc7, 0xf464c16b, 0xf0ff3170), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x6bb700e1, 0xf4d7e236, 0xe8d193ff, 0x4a76c1b3, 0xbcd4e2b2, 0x5acac3d5, 0x1c8dac65, 0x3fe909a0), SECP256K1_FE_CONST(0xf4c73410, 0x633da7f6, 0x3a4f1d55, 0xaec6dd32, 0xc4c6d89e, 0xe74075ed, 0xb5515ed9, 0x0da9e683), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x9448ff1e, 0x0b281dc9, 0x172e6c00, 0xb5893e4c, 0x432b1d4d, 0xa5353c2a, 0xe3725399, 0xc016f28f), SECP256K1_FE_CONST(0x0b38cbef, 0x9cc25809, 0xc5b0e2aa, 0x513922cd, 0x3b392761, 0x18bf8a12, 0x4aaea125, 0xf25615ac)}}, + {0xcc, SECP256K1_FE_CONST(0x6fb31c75, 0x31f03130, 0xb42b155b, 0x952779ef, 0xbb46087d, 0xd9807d24, 0x1a48eac6, 0x3c3d96d6), SECP256K1_FE_CONST(0x56f81be7, 0x53e8d4ae, 0x4940ea6f, 0x46f6ec9f, 0xda66a6f9, 0x6cc95f50, 0x6cb2b574, 0x90e94260), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x59059774, 0x795bdb7a, 0x837fbe11, 0x40a5fa59, 0x984f48af, 0x8df95d57, 0xdd6d1c05, 0x437dcec1), SECP256K1_FE_CONST(0x22a644db, 0x79376ad4, 0xe7b3a009, 0xe58b3f13, 0x137c54fd, 0xf911122c, 0xc93667c4, 0x7077d784), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xa6fa688b, 0x86a42485, 0x7c8041ee, 0xbf5a05a6, 0x67b0b750, 0x7206a2a8, 0x2292e3f9, 0xbc822d6e), SECP256K1_FE_CONST(0xdd59bb24, 0x86c8952b, 0x184c5ff6, 0x1a74c0ec, 0xec83ab02, 0x06eeedd3, 0x36c9983a, 0x8f8824ab)}}, + {0x00, SECP256K1_FE_CONST(0x704cd226, 0xe71cb682, 0x6a590e80, 0xdac90f2d, 0x2f5830f0, 0xfdf135a3, 0xeae3965b, 0xff25ff12), SECP256K1_FE_CONST(0x138e0afa, 0x68936ee6, 0x70bd2b8d, 0xb53aedbb, 0x7bea2a85, 0x97388b24, 0xd0518edd, 0x22ad66ec), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x725e9147, 0x92cb8c89, 0x49e7e116, 0x8b7cdd8a, 0x8094c91c, 0x6ec2202c, 0xcd53a6a1, 0x8771edeb), SECP256K1_FE_CONST(0x8da16eb8, 0x6d347376, 0xb6181ee9, 0x74832275, 0x7f6b36e3, 0x913ddfd3, 0x32ac595d, 0x788e0e44), {SECP256K1_FE_CONST(0xdd357786, 0xb9f68733, 0x30391aa5, 0x62580965, 0x4e43116e, 0x82a5a5d8, 0x2ffd1d66, 0x24101fc4), SECP256K1_FE_CONST(0xa0b7efca, 0x01814594, 0xc59c9aae, 0x8e497001, 0x86ca5d95, 0xe88bcc80, 0x399044d9, 0xc2d8613d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x22ca8879, 0x460978cc, 0xcfc6e55a, 0x9da7f69a, 0xb1bcee91, 0x7d5a5a27, 0xd002e298, 0xdbefdc6b), SECP256K1_FE_CONST(0x5f481035, 0xfe7eba6b, 0x3a636551, 0x71b68ffe, 0x7935a26a, 0x1774337f, 0xc66fbb25, 0x3d279af2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x78fe6b71, 0x7f2ea4a3, 0x2708d79c, 0x151bf503, 0xa5312a18, 0xc0963437, 0xe865cc6e, 0xd3f6ae97), SECP256K1_FE_CONST(0x8701948e, 0x80d15b5c, 0xd8f72863, 0xeae40afc, 0x5aced5e7, 0x3f69cbc8, 0x179a3390, 0x2c094d98), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x44, SECP256K1_FE_CONST(0x7c37bb9c, 0x5061dc07, 0x413f11ac, 0xd5a34006, 0xe64c5c45, 0x7fdb9a43, 0x8f217255, 0xa961f50d), SECP256K1_FE_CONST(0x5c1a76b4, 0x4568eb59, 0xd6789a74, 0x42d9ed7c, 0xdc6226b7, 0x752b4ff8, 0xeaf8e1a9, 0x5736e507), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb94d30cd, 0x7dbff60b, 0x64620c17, 0xca0fafaa, 0x40b3d1f5, 0x2d077a60, 0xa2e0cafd, 0x145086c2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x46b2cf32, 0x824009f4, 0x9b9df3e8, 0x35f05055, 0xbf4c2e0a, 0xd2f8859f, 0x5d1f3501, 0xebaf756d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0x82388888, 0x967f82a6, 0xb444438a, 0x7d44838e, 0x13c0d478, 0xb9ca060d, 0xa95a41fb, 0x94303de6), SECP256K1_FE_CONST(0x29e96541, 0x70628fec, 0x8b497289, 0x8b113cf9, 0x8807f460, 0x9274f4f3, 0x140d0674, 0x157c90a0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0x91298f57, 0x70af7a27, 0xf0a47188, 0xd24c3b7b, 0xf98ab299, 0x0d84b0b8, 0x98507e3c, 0x561d6472), SECP256K1_FE_CONST(0x144f4ccb, 0xd9a74698, 0xa88cbf6f, 0xd00ad886, 0xd339d29e, 0xa19448f2, 0xc572cac0, 0xa07d5562), {SECP256K1_FE_CONST(0xe6a0ffa3, 0x807f09da, 0xdbe71e0f, 0x4be4725f, 0x2832e76c, 0xad8dc1d9, 0x43ce8393, 0x75eff248), SECP256K1_FE_CONST(0x837b8e68, 0xd4917544, 0x764ad090, 0x3cb11f86, 0x15d2823c, 0xefbb06d8, 0x9049dbab, 0xc69befda), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x195f005c, 0x7f80f625, 0x2418e1f0, 0xb41b8da0, 0xd7cd1893, 0x52723e26, 0xbc317c6b, 0x8a1009e7), SECP256K1_FE_CONST(0x7c847197, 0x2b6e8abb, 0x89b52f6f, 0xc34ee079, 0xea2d7dc3, 0x1044f927, 0x6fb62453, 0x39640c55), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xb682f3d0, 0x3bbb5dee, 0x4f54b5eb, 0xfba931b4, 0xf52f6a19, 0x1e5c2f48, 0x3c73c66e, 0x9ace97e1), SECP256K1_FE_CONST(0x904717bf, 0x0bc0cb78, 0x73fcdc38, 0xaa97f19e, 0x3a626309, 0x72acff92, 0xb24cc6dd, 0xa197cb96), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x77, SECP256K1_FE_CONST(0xc17ec69e, 0x665f0fb0, 0xdbab48d9, 0xc2f94d12, 0xec8a9d7e, 0xacb58084, 0x83309180, 0x1eb0b80b), SECP256K1_FE_CONST(0x147756e6, 0x6d96e31c, 0x426d3cc8, 0x5ed0c4cf, 0xbef6341d, 0xd8b28558, 0x5aa574ea, 0x0204b55e), {SECP256K1_FE_CONST(0x6f4aea43, 0x1a0043bd, 0xd03134d6, 0xd9159119, 0xce034b88, 0xc32e50e8, 0xe36c4ee4, 0x5eac7ae9), SECP256K1_FE_CONST(0xfd5be16d, 0x4ffa2690, 0x126c67c3, 0xef7cb9d2, 0x9b74d397, 0xc78b06b3, 0x605fda34, 0xdc9696a6), SECP256K1_FE_CONST(0x5e9c6079, 0x2a2f000e, 0x45c6250f, 0x296f875e, 0x174efc0e, 0x9703e628, 0x706103a9, 0xdd2d82c7), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x90b515bc, 0xe5ffbc42, 0x2fcecb29, 0x26ea6ee6, 0x31fcb477, 0x3cd1af17, 0x1c93b11a, 0xa1538146), SECP256K1_FE_CONST(0x02a41e92, 0xb005d96f, 0xed93983c, 0x1083462d, 0x648b2c68, 0x3874f94c, 0x9fa025ca, 0x23696589), SECP256K1_FE_CONST(0xa1639f86, 0xd5d0fff1, 0xba39daf0, 0xd69078a1, 0xe8b103f1, 0x68fc19d7, 0x8f9efc55, 0x22d27968), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xc25172fc, 0x3f29b6fc, 0x4a1155b8, 0x57523315, 0x5486b274, 0x64b74b8b, 0x260b499a, 0x3f53cb14), SECP256K1_FE_CONST(0x1ea9cbdb, 0x35cf6e03, 0x29aa31b0, 0xbb0a702a, 0x65123ed0, 0x08655a93, 0xb7dcd528, 0x0e52e1ab), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x7422edc7, 0x843136af, 0x0053bb88, 0x54448a82, 0x99994f9d, 0xdcefd3a9, 0xa92d4546, 0x2c59298a), SECP256K1_FE_CONST(0x78c7774a, 0x266f8b97, 0xea23d05d, 0x064f033c, 0x77319f92, 0x3f6b78bc, 0xe4e20bf0, 0x5fa5398d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x8bdd1238, 0x7bcec950, 0xffac4477, 0xabbb757d, 0x6666b062, 0x23102c56, 0x56d2bab8, 0xd3a6d2a5), SECP256K1_FE_CONST(0x873888b5, 0xd9907468, 0x15dc2fa2, 0xf9b0fcc3, 0x88ce606d, 0xc0948743, 0x1b1df40e, 0xa05ac2a2)}}, + {0x00, SECP256K1_FE_CONST(0xcab6626f, 0x832a4b12, 0x80ba7add, 0x2fc5322f, 0xf011caed, 0xedf7ff4d, 0xb6735d50, 0x26dc0367), SECP256K1_FE_CONST(0x2b2bef08, 0x52c6f7c9, 0x5d72ac99, 0xa23802b8, 0x75029cd5, 0x73b248d1, 0xf1b3fc80, 0x33788eb6), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x33, SECP256K1_FE_CONST(0xd8621b4f, 0xfc85b9ed, 0x56e99d8d, 0xd1dd24ae, 0xdcecb147, 0x63b861a1, 0x7112dc77, 0x1a104fd2), SECP256K1_FE_CONST(0x812cabe9, 0x72a22aa6, 0x7c7da0c9, 0x4d8a9362, 0x96eb9949, 0xd70c37cb, 0x2b248757, 0x4cb3ce58), {SECP256K1_FE_CONST(0xfbc5febc, 0x6fdbc9ae, 0x3eb88a93, 0xb982196e, 0x8b6275a6, 0xd5a73c17, 0x387e000c, 0x711bd0e3), SECP256K1_FE_CONST(0x8724c96b, 0xd4e5527f, 0x2dd195a5, 0x1c468d2d, 0x211ba2fa, 0xc7cbe0b4, 0xb3434253, 0x409fb42d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x043a0143, 0x90243651, 0xc147756c, 0x467de691, 0x749d8a59, 0x2a58c3e8, 0xc781fff2, 0x8ee42b4c), SECP256K1_FE_CONST(0x78db3694, 0x2b1aad80, 0xd22e6a5a, 0xe3b972d2, 0xdee45d05, 0x38341f4b, 0x4cbcbdab, 0xbf604802), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xda463164, 0xc6f4bf71, 0x29ee5f0e, 0xc00f65a6, 0x75a8adf1, 0xbd931b39, 0xb64806af, 0xdcda9a22), SECP256K1_FE_CONST(0x25b9ce9b, 0x390b408e, 0xd611a0f1, 0x3ff09a59, 0x8a57520e, 0x426ce4c6, 0x49b7f94f, 0x2325620d), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xdafc971e, 0x4a3a7b6d, 0xcfb42a08, 0xd9692d82, 0xad9e7838, 0x523fcbda, 0x1d4827e1, 0x4481ae2d), SECP256K1_FE_CONST(0x250368e1, 0xb5c58492, 0x304bd5f7, 0x2696d27d, 0x526187c7, 0xadc03425, 0xe2b7d81d, 0xbb7e4e02), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x370c28f1, 0xbe665efa, 0xcde6aa43, 0x6bf86fe2, 0x1e6e314c, 0x1e53dd04, 0x0e6c73a4, 0x6b4c8c49), SECP256K1_FE_CONST(0xcd8acee9, 0x8ffe5653, 0x1a84d7eb, 0x3e48fa40, 0x34206ce8, 0x25ace907, 0xd0edf0ea, 0xeb5e9ca2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xc8f3d70e, 0x4199a105, 0x321955bc, 0x9407901d, 0xe191ceb3, 0xe1ac22fb, 0xf1938c5a, 0x94b36fe6), SECP256K1_FE_CONST(0x32753116, 0x7001a9ac, 0xe57b2814, 0xc1b705bf, 0xcbdf9317, 0xda5316f8, 0x2f120f14, 0x14a15f8d)}}, + {0x44, SECP256K1_FE_CONST(0xe0294c8b, 0xc1a36b41, 0x66ee92bf, 0xa70a5c34, 0x976fa982, 0x9405efea, 0x8f9cd54d, 0xcb29b99e), SECP256K1_FE_CONST(0xae9690d1, 0x3b8d20a0, 0xfbbf37be, 0xd8474f67, 0xa04e142f, 0x56efd787, 0x70a76b35, 0x9165d8a1), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xdcd45d93, 0x5613916a, 0xf167b029, 0x058ba3a7, 0x00d37150, 0xb9df3472, 0x8cb05412, 0xc16d4182), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x232ba26c, 0xa9ec6e95, 0x0e984fd6, 0xfa745c58, 0xff2c8eaf, 0x4620cb8d, 0x734fabec, 0x3e92baad), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0x00, SECP256K1_FE_CONST(0xe148441c, 0xd7b92b8b, 0x0e4fa3bd, 0x68712cfd, 0x0d709ad1, 0x98cace61, 0x1493c10e, 0x97f5394e), SECP256K1_FE_CONST(0x164a6397, 0x94d74c53, 0xafc4d329, 0x4e79cdb3, 0xcd25f99f, 0x6df45c00, 0x0f758aba, 0x54d699c0), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe4b00ec9, 0x7aadcca9, 0x7644d3b0, 0xc8a931b1, 0x4ce7bcf7, 0xbc877954, 0x6d6e35aa, 0x5937381c), SECP256K1_FE_CONST(0x94e9588d, 0x41647b3f, 0xcc772dc8, 0xd83c67ce, 0x3be00353, 0x8517c834, 0x103d2cd4, 0x9d62ef4d), {SECP256K1_FE_CONST(0xc88d25f4, 0x1407376b, 0xb2c03a7f, 0xffeb3ec7, 0x811cc434, 0x91a0c3aa, 0xc0378cdc, 0x78357bee), SECP256K1_FE_CONST(0x51c02636, 0xce00c234, 0x5ecd89ad, 0xb6089fe4, 0xd5e18ac9, 0x24e3145e, 0x6669501c, 0xd37a00d4), SECP256K1_FE_CONST(0x205b3512, 0xdb40521c, 0xb200952e, 0x67b46f67, 0xe09e7839, 0xe0de4400, 0x4138329e, 0xbd9138c5), SECP256K1_FE_CONST(0x58aab390, 0xab6fb55c, 0x1d1b8089, 0x7a207ce9, 0x4a78fa5b, 0x4aa61a33, 0x398bcae9, 0xadb20d3e), SECP256K1_FE_CONST(0x3772da0b, 0xebf8c894, 0x4d3fc580, 0x0014c138, 0x7ee33bcb, 0x6e5f3c55, 0x3fc87322, 0x87ca8041), SECP256K1_FE_CONST(0xae3fd9c9, 0x31ff3dcb, 0xa1327652, 0x49f7601b, 0x2a1e7536, 0xdb1ceba1, 0x9996afe2, 0x2c85fb5b), SECP256K1_FE_CONST(0xdfa4caed, 0x24bfade3, 0x4dff6ad1, 0x984b9098, 0x1f6187c6, 0x1f21bbff, 0xbec7cd60, 0x426ec36a), SECP256K1_FE_CONST(0xa7554c6f, 0x54904aa3, 0xe2e47f76, 0x85df8316, 0xb58705a4, 0xb559e5cc, 0xc6743515, 0x524deef1)}}, + {0x00, SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), SECP256K1_FE_CONST(0xe5bbb9ef, 0x360d0a50, 0x1618f006, 0x7d36dceb, 0x75f5be9a, 0x620232aa, 0x9fd5139d, 0x0863fde5), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xff, SECP256K1_FE_CONST(0xe6bcb5c3, 0xd63467d4, 0x90bfa54f, 0xbbc6092a, 0x7248c25e, 0x11b248dc, 0x2964a6e1, 0x5edb1457), SECP256K1_FE_CONST(0x19434a3c, 0x29cb982b, 0x6f405ab0, 0x4439f6d5, 0x8db73da1, 0xee4db723, 0xd69b591d, 0xa124e7d8), {SECP256K1_FE_CONST(0x67119877, 0x832ab8f4, 0x59a82165, 0x6d8261f5, 0x44a553b8, 0x9ae4f25c, 0x52a97134, 0xb70f3426), SECP256K1_FE_CONST(0xffee02f5, 0xe649c07f, 0x0560eff1, 0x867ec7b3, 0x2d0e595e, 0x9b1c0ea6, 0xe2a4fc70, 0xc97cd71f), SECP256K1_FE_CONST(0xb5e0c189, 0xeb5b4bac, 0xd025b744, 0x4d74178b, 0xe8d5246c, 0xfa4a9a20, 0x7964a057, 0xee969992), SECP256K1_FE_CONST(0x5746e459, 0x1bf7f4c3, 0x044609ea, 0x372e9086, 0x03975d27, 0x9fdef834, 0x9f0b08d3, 0x2f07619d), SECP256K1_FE_CONST(0x98ee6788, 0x7cd5470b, 0xa657de9a, 0x927d9e0a, 0xbb5aac47, 0x651b0da3, 0xad568eca, 0x48f0c809), SECP256K1_FE_CONST(0x0011fd0a, 0x19b63f80, 0xfa9f100e, 0x7981384c, 0xd2f1a6a1, 0x64e3f159, 0x1d5b038e, 0x36832510), SECP256K1_FE_CONST(0x4a1f3e76, 0x14a4b453, 0x2fda48bb, 0xb28be874, 0x172adb93, 0x05b565df, 0x869b5fa7, 0x1169629d), SECP256K1_FE_CONST(0xa8b91ba6, 0xe4080b3c, 0xfbb9f615, 0xc8d16f79, 0xfc68a2d8, 0x602107cb, 0x60f4f72b, 0xd0f89a92)}}, + {0x33, SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), SECP256K1_FE_CONST(0xf28fba64, 0xaf766845, 0xeb2f4302, 0x456e2b9f, 0x8d80affe, 0x57e7aae4, 0x2738d7cd, 0xdb1c2ce6), {SECP256K1_FE_CONST(0x4f867ad8, 0xbb3d8404, 0x09d26b67, 0x307e6210, 0x0153273f, 0x72fa4b74, 0x84becfa1, 0x4ebe7408), SECP256K1_FE_CONST(0x5bbc4f59, 0xe452cc5f, 0x22a99144, 0xb10ce898, 0x9a89a995, 0xec3cea1c, 0x91ae10e8, 0xf721bb5d), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xb0798527, 0x44c27bfb, 0xf62d9498, 0xcf819def, 0xfeacd8c0, 0x8d05b48b, 0x7b41305d, 0xb1418827), SECP256K1_FE_CONST(0xa443b0a6, 0x1bad33a0, 0xdd566ebb, 0x4ef31767, 0x6576566a, 0x13c315e3, 0x6e51ef16, 0x08de40d2), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, + {0xcc, SECP256K1_FE_CONST(0xf455605b, 0xc85bf48e, 0x3a908c31, 0x023faf98, 0x381504c6, 0xc6d3aeb9, 0xede55f8d, 0xd528924d), SECP256K1_FE_CONST(0xd31fbcd5, 0xcdb798f6, 0xc00db669, 0x2f8fe896, 0x7fa9c79d, 0xd10958f4, 0xa194f013, 0x74905e99), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0x0c00c571, 0x5b56fe63, 0x2d814ad8, 0xa77f8e66, 0x628ea47a, 0x6116834f, 0x8c1218f3, 0xa03cbd50), SECP256K1_FE_CONST(0xdf88e44f, 0xac84fa52, 0xdf4d59f4, 0x8819f18f, 0x6a8cd415, 0x1d162afa, 0xf773166f, 0x57c7ff46), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0xf3ff3a8e, 0xa4a9019c, 0xd27eb527, 0x58807199, 0x9d715b85, 0x9ee97cb0, 0x73ede70b, 0x5fc33edf), SECP256K1_FE_CONST(0x20771bb0, 0x537b05ad, 0x20b2a60b, 0x77e60e70, 0x95732bea, 0xe2e9d505, 0x088ce98f, 0xa837fce9)}}, + {0xff, SECP256K1_FE_CONST(0xf58cd4d9, 0x830bad32, 0x2699035e, 0x8246007d, 0x4be27e19, 0xb6f53621, 0x317b4f30, 0x9b3daa9d), SECP256K1_FE_CONST(0x78ec2b3d, 0xc0948de5, 0x60148bbc, 0x7c6dc963, 0x3ad5df70, 0xa5a5750c, 0xbed72180, 0x4f082a3b), {SECP256K1_FE_CONST(0x6c4c580b, 0x76c75940, 0x43569f9d, 0xae16dc28, 0x01c16a1f, 0xbe128608, 0x81b75f8e, 0xf929bce5), SECP256K1_FE_CONST(0x94231355, 0xe7385c5f, 0x25ca436a, 0xa6419147, 0x1aea4393, 0xd6e86ab7, 0xa35fe2af, 0xacaefd0d), SECP256K1_FE_CONST(0xdff2a195, 0x1ada6db5, 0x74df8340, 0x48149da3, 0x397a75b8, 0x29abf58c, 0x7e69db1b, 0x41ac0989), SECP256K1_FE_CONST(0xa52b66d3, 0xc9070355, 0x48028bf8, 0x04711bf4, 0x22aba95f, 0x1a666fc8, 0x6f4648e0, 0x5f29caae), SECP256K1_FE_CONST(0x93b3a7f4, 0x8938a6bf, 0xbca96062, 0x51e923d7, 0xfe3e95e0, 0x41ed79f7, 0x7e48a070, 0x06d63f4a), SECP256K1_FE_CONST(0x6bdcecaa, 0x18c7a3a0, 0xda35bc95, 0x59be6eb8, 0xe515bc6c, 0x29179548, 0x5ca01d4f, 0x5350ff22), SECP256K1_FE_CONST(0x200d5e6a, 0xe525924a, 0x8b207cbf, 0xb7eb625c, 0xc6858a47, 0xd6540a73, 0x819624e3, 0xbe53f2a6), SECP256K1_FE_CONST(0x5ad4992c, 0x36f8fcaa, 0xb7fd7407, 0xfb8ee40b, 0xdd5456a0, 0xe5999037, 0x90b9b71e, 0xa0d63181)}}, + {0x00, SECP256K1_FE_CONST(0xfd7d912a, 0x40f182a3, 0x588800d6, 0x9ebfb504, 0x8766da20, 0x6fd7ebc8, 0xd2436c81, 0xcbef6421), SECP256K1_FE_CONST(0x8d37c862, 0x054debe7, 0x31694536, 0xff46b273, 0xec122b35, 0xa9bf1445, 0xac3c4ff9, 0xf262c952), {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)}}, +}; + +/* Set of (encoding, xcoord) test vectors, selected to maximize branch coverage. + * Created using an independent implementation, and tested against paper author's code. */ +static const struct ellswift_decode_test ellswift_decode_tests[] = { + {{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, 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}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{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, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{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, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{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, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{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, 0xbd, 0xe7, 0x0d, 0xf5, 0x19, 0x39, 0xb9, 0x4c, 0x9c, 0x24, 0x97, 0x9f, 0xa7, 0xdd, 0x04, 0xeb, 0xd9, 0xb3, 0x57, 0x2d, 0xa7, 0x80, 0x22, 0x90, 0x43, 0x8a, 0xf2, 0xa6, 0x81, 0x89, 0x54, 0x41}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 1}, + {{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, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{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, 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}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{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, 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, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{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, 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, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{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, 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, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{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, 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, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 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}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0a, 0x2d, 0x2b, 0xa9, 0x35, 0x07, 0xf1, 0xdf, 0x23, 0x37, 0x70, 0xc2, 0xa7, 0x97, 0x96, 0x2c, 0xc6, 0x1f, 0x6d, 0x15, 0xda, 0x14, 0xec, 0xd4, 0x7d, 0x8d, 0x27, 0xae, 0x1c, 0xd5, 0xf8, 0x53, 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}, SECP256K1_FE_CONST(0x532167c1, 0x1200b08c, 0x0e84a354, 0xe74dcc40, 0xf8b25f4f, 0xe686e308, 0x69526366, 0x278a0688), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x74e880b3, 0xffd18fe3, 0xcddf7902, 0x522551dd, 0xf97fa4a3, 0x5a3cfda8, 0x197f9470, 0x81a57b8f), 0}, + {{0x0f, 0xfd, 0xe9, 0xca, 0x81, 0xd7, 0x51, 0xe9, 0xcd, 0xaf, 0xfc, 0x1a, 0x50, 0x77, 0x92, 0x45, 0x32, 0x0b, 0x28, 0x99, 0x6d, 0xba, 0xf3, 0x2f, 0x82, 0x2f, 0x20, 0x11, 0x7c, 0x22, 0xfb, 0xd6, 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, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x377b643f, 0xce2271f6, 0x4e5c8101, 0x566107c1, 0xbe498074, 0x50917838, 0x04f65478, 0x1ac9217c), 1}, + {{0x12, 0x36, 0x58, 0x44, 0x4f, 0x32, 0xbe, 0x8f, 0x02, 0xea, 0x20, 0x34, 0xaf, 0xa7, 0xef, 0x4b, 0xbe, 0x8a, 0xdc, 0x91, 0x8c, 0xeb, 0x49, 0xb1, 0x27, 0x73, 0xb6, 0x25, 0xf4, 0x90, 0xb3, 0x68, 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, 0x8d, 0xc5, 0xfe, 0x11}, SECP256K1_FE_CONST(0xed16d65c, 0xf3a9538f, 0xcb2c139f, 0x1ecbc143, 0xee148271, 0x20cbc265, 0x9e667256, 0x800b8142), 0}, + {{0x14, 0x6f, 0x92, 0x46, 0x4d, 0x15, 0xd3, 0x6e, 0x35, 0x38, 0x2b, 0xd3, 0xca, 0x5b, 0x0f, 0x97, 0x6c, 0x95, 0xcb, 0x08, 0xac, 0xdc, 0xf2, 0xd5, 0xb3, 0x57, 0x06, 0x17, 0x99, 0x08, 0x39, 0xd7, 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, 0x31, 0x45, 0xe9, 0x3b}, SECP256K1_FE_CONST(0x0d5cd840, 0x427f941f, 0x65193079, 0xab8e2e83, 0x024ef2ee, 0x7ca558d8, 0x8879ffd8, 0x79fb6657), 0}, + {{0x15, 0xfd, 0xf5, 0xcf, 0x09, 0xc9, 0x07, 0x59, 0xad, 0xd2, 0x27, 0x2d, 0x57, 0x4d, 0x2b, 0xb5, 0xfe, 0x14, 0x29, 0xf9, 0xf3, 0xc1, 0x4c, 0x65, 0xe3, 0x19, 0x4b, 0xf6, 0x1b, 0x82, 0xaa, 0x73, 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, 0x04, 0xcf, 0xd9, 0x06}, SECP256K1_FE_CONST(0x16d0e439, 0x46aec93f, 0x62d57eb8, 0xcde68951, 0xaf136cf4, 0xb307938d, 0xd1447411, 0xe07bffe1), 1}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 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}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0x67, 0xed, 0xf7, 0x79, 0xa8, 0xa6, 0x49, 0xd6, 0xde, 0xf6, 0x00, 0x35, 0xf2, 0xfa, 0x22, 0xd0, 0x22, 0xdd, 0x35, 0x90, 0x79, 0xa1, 0xa1, 0x44, 0x07, 0x3d, 0x84, 0xf1, 0x9b, 0x92, 0xd5, 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}, SECP256K1_FE_CONST(0x025661f9, 0xaba9d15c, 0x3118456b, 0xbe980e3e, 0x1b8ba2e0, 0x47c737a4, 0xeb48a040, 0xbb566f6c), 0}, + {{0x1f, 0xe1, 0xe5, 0xef, 0x3f, 0xce, 0xb5, 0xc1, 0x35, 0xab, 0x77, 0x41, 0x33, 0x3c, 0xe5, 0xa6, 0xe8, 0x0d, 0x68, 0x16, 0x76, 0x53, 0xf6, 0xb2, 0xb2, 0x4b, 0xcb, 0xcf, 0xaa, 0xaf, 0xf5, 0x07, 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}, SECP256K1_FE_CONST(0x98bec3b2, 0xa351fa96, 0xcfd191c1, 0x77835193, 0x1b9e9ba9, 0xad1149f6, 0xd9eadca8, 0x0981b801), 0}, + {{0x40, 0x56, 0xa3, 0x4a, 0x21, 0x0e, 0xec, 0x78, 0x92, 0xe8, 0x82, 0x06, 0x75, 0xc8, 0x60, 0x09, 0x9f, 0x85, 0x7b, 0x26, 0xaa, 0xd8, 0x54, 0x70, 0xee, 0x6d, 0x3c, 0xf1, 0x30, 0x4a, 0x9d, 0xcf, 0x37, 0x5e, 0x70, 0x37, 0x42, 0x71, 0xf2, 0x0b, 0x13, 0xc9, 0x98, 0x6e, 0xd7, 0xd3, 0xc1, 0x77, 0x99, 0x69, 0x8c, 0xfc, 0x43, 0x5d, 0xbe, 0xd3, 0xa9, 0xf3, 0x4b, 0x38, 0xc8, 0x23, 0xc2, 0xb4}, SECP256K1_FE_CONST(0x868aac20, 0x03b29dbc, 0xad1a3e80, 0x3855e078, 0xa89d1654, 0x3ac64392, 0xd1224172, 0x98cec76e), 0}, + {{0x41, 0x97, 0xec, 0x37, 0x23, 0xc6, 0x54, 0xcf, 0xdd, 0x32, 0xab, 0x07, 0x55, 0x06, 0x64, 0x8b, 0x2f, 0xf5, 0x07, 0x03, 0x62, 0xd0, 0x1a, 0x4f, 0xff, 0x14, 0xb3, 0x36, 0xb7, 0x8f, 0x96, 0x3f, 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, 0xb3, 0xab, 0x1e, 0x95}, SECP256K1_FE_CONST(0xba5a6314, 0x502a8952, 0xb8f456e0, 0x85928105, 0xf665377a, 0x8ce27726, 0xa5b0eb7e, 0xc1ac0286), 0}, + {{0x47, 0xeb, 0x3e, 0x20, 0x8f, 0xed, 0xcd, 0xf8, 0x23, 0x4c, 0x94, 0x21, 0xe9, 0xcd, 0x9a, 0x7a, 0xe8, 0x73, 0xbf, 0xbd, 0xbc, 0x39, 0x37, 0x23, 0xd1, 0xba, 0x1e, 0x1e, 0x6a, 0x8e, 0x6b, 0x24, 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, 0x7c, 0xd1, 0x2c, 0xb1}, SECP256K1_FE_CONST(0xd192d520, 0x07e541c9, 0x807006ed, 0x0468df77, 0xfd214af0, 0xa795fe11, 0x9359666f, 0xdcf08f7c), 0}, + {{0x5e, 0xb9, 0x69, 0x6a, 0x23, 0x36, 0xfe, 0x2c, 0x3c, 0x66, 0x6b, 0x02, 0xc7, 0x55, 0xdb, 0x4c, 0x0c, 0xfd, 0x62, 0x82, 0x5c, 0x7b, 0x58, 0x9a, 0x7b, 0x7b, 0xb4, 0x42, 0xe1, 0x41, 0xc1, 0xd6, 0x93, 0x41, 0x3f, 0x00, 0x52, 0xd4, 0x9e, 0x64, 0xab, 0xec, 0x6d, 0x58, 0x31, 0xd6, 0x6c, 0x43, 0x61, 0x28, 0x30, 0xa1, 0x7d, 0xf1, 0xfe, 0x43, 0x83, 0xdb, 0x89, 0x64, 0x68, 0x10, 0x02, 0x21}, SECP256K1_FE_CONST(0xef6e1da6, 0xd6c7627e, 0x80f7a723, 0x4cb08a02, 0x2c1ee1cf, 0x29e4d0f9, 0x642ae924, 0xcef9eb38), 1}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 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}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x7b, 0xf9, 0x6b, 0x7b, 0x6d, 0xa1, 0x5d, 0x34, 0x76, 0xa2, 0xb1, 0x95, 0x93, 0x4b, 0x69, 0x0a, 0x3a, 0x3d, 0xe3, 0xe8, 0xab, 0x84, 0x74, 0x85, 0x68, 0x63, 0xb0, 0xde, 0x3a, 0xf9, 0x0b, 0x0e, 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}, SECP256K1_FE_CONST(0x50851dfc, 0x9f418c31, 0x4a437295, 0xb24feeea, 0x27af3d0c, 0xd2308348, 0xfda6e21c, 0x463e46ff), 0}, + {{0x85, 0x1b, 0x1c, 0xa9, 0x45, 0x49, 0x37, 0x1c, 0x4f, 0x1f, 0x71, 0x87, 0x32, 0x1d, 0x39, 0xbf, 0x51, 0xc6, 0xb7, 0xfb, 0x61, 0xf7, 0xcb, 0xf0, 0x27, 0xc9, 0xda, 0x62, 0x02, 0x1b, 0x7a, 0x65, 0xfc, 0x54, 0xc9, 0x68, 0x37, 0xfb, 0x22, 0xb3, 0x62, 0xed, 0xa6, 0x3e, 0xc5, 0x2e, 0xc8, 0x3d, 0x81, 0xbe, 0xdd, 0x16, 0x0c, 0x11, 0xb2, 0x2d, 0x96, 0x5d, 0x9f, 0x4a, 0x6d, 0x64, 0xd2, 0x51}, SECP256K1_FE_CONST(0x3e731051, 0xe12d3323, 0x7eb324f2, 0xaa5b16bb, 0x868eb49a, 0x1aa1fadc, 0x19b6e876, 0x1b5a5f7b), 1}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 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}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0x94, 0x3c, 0x2f, 0x77, 0x51, 0x08, 0xb7, 0x37, 0xfe, 0x65, 0xa9, 0x53, 0x1e, 0x19, 0xf2, 0xfc, 0x2a, 0x19, 0x7f, 0x56, 0x03, 0xe3, 0xa2, 0x88, 0x1d, 0x1d, 0x83, 0xe4, 0x00, 0x8f, 0x91, 0x25, 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}, SECP256K1_FE_CONST(0x311c61f0, 0xab2f32b7, 0xb1f0223f, 0xa72f0a78, 0x752b8146, 0xe46107f8, 0x876dd9c4, 0xf92b2942), 0}, + {{0xa0, 0xf1, 0x84, 0x92, 0x18, 0x3e, 0x61, 0xe8, 0x06, 0x3e, 0x57, 0x36, 0x06, 0x59, 0x14, 0x21, 0xb0, 0x6b, 0xc3, 0x51, 0x36, 0x31, 0x57, 0x8a, 0x73, 0xa3, 0x9c, 0x1c, 0x33, 0x06, 0x23, 0x9f, 0x2f, 0x32, 0x90, 0x4f, 0x0d, 0x2a, 0x33, 0xec, 0xca, 0x8a, 0x54, 0x51, 0x70, 0x5b, 0xb5, 0x37, 0xd3, 0xbf, 0x44, 0xe0, 0x71, 0x22, 0x60, 0x25, 0xcd, 0xbf, 0xd2, 0x49, 0xfe, 0x0f, 0x7a, 0xd6}, SECP256K1_FE_CONST(0x97a09cf1, 0xa2eae7c4, 0x94df3c6f, 0x8a9445bf, 0xb8c09d60, 0x832f9b0b, 0x9d5eabe2, 0x5fbd14b9), 0}, + {{0xa1, 0xed, 0x0a, 0x0b, 0xd7, 0x9d, 0x8a, 0x23, 0xcf, 0xe4, 0xec, 0x5f, 0xef, 0x5b, 0xa5, 0xcc, 0xcf, 0xd8, 0x44, 0xe4, 0xff, 0x5c, 0xb4, 0xb0, 0xf2, 0xe7, 0x16, 0x27, 0x34, 0x1f, 0x1c, 0x5b, 0x17, 0xc4, 0x99, 0x24, 0x9e, 0x0a, 0xc0, 0x8d, 0x5d, 0x11, 0xea, 0x1c, 0x2c, 0x8c, 0xa7, 0x00, 0x16, 0x16, 0x55, 0x9a, 0x79, 0x94, 0xea, 0xde, 0xc9, 0xca, 0x10, 0xfb, 0x4b, 0x85, 0x16, 0xdc}, SECP256K1_FE_CONST(0x65a89640, 0x744192cd, 0xac64b2d2, 0x1ddf989c, 0xdac75007, 0x25b645be, 0xf8e2200a, 0xe39691f2), 0}, + {{0xba, 0x94, 0x59, 0x4a, 0x43, 0x27, 0x21, 0xaa, 0x35, 0x80, 0xb8, 0x4c, 0x16, 0x1d, 0x0d, 0x13, 0x4b, 0xc3, 0x54, 0xb6, 0x90, 0x40, 0x4d, 0x7c, 0xd4, 0xec, 0x57, 0xc1, 0x6d, 0x3f, 0xbe, 0x98, 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, 0xea, 0x50, 0x7d, 0xd7}, SECP256K1_FE_CONST(0x5e0d7656, 0x4aae92cb, 0x347e01a6, 0x2afd389a, 0x9aa401c7, 0x6c8dd227, 0x543dc9cd, 0x0efe685a), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x2d97f96c, 0xac882dfe, 0x73dc44db, 0x6ce0f1d3, 0x1d624135, 0x8dd5d74e, 0xb3d3b500, 0x03d24c2b), 0}, + {{0xbc, 0xaf, 0x72, 0x19, 0xf2, 0xf6, 0xfb, 0xf5, 0x5f, 0xe5, 0xe0, 0x62, 0xdc, 0xe0, 0xe4, 0x8c, 0x18, 0xf6, 0x81, 0x03, 0xf1, 0x0b, 0x81, 0x98, 0xe9, 0x74, 0xc1, 0x84, 0x75, 0x0e, 0x1b, 0xe3, 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, 0x65, 0x07, 0xd0, 0x9a}, SECP256K1_FE_CONST(0xe7008afe, 0x6e8cbd50, 0x55df120b, 0xd748757c, 0x686dadb4, 0x1cce75e4, 0xaddcc5e0, 0x2ec02b44), 1}, + {{0xc5, 0x98, 0x1b, 0xae, 0x27, 0xfd, 0x84, 0x40, 0x1c, 0x72, 0xa1, 0x55, 0xe5, 0x70, 0x7f, 0xbb, 0x81, 0x1b, 0x2b, 0x62, 0x06, 0x45, 0xd1, 0x02, 0x8e, 0xa2, 0x70, 0xcb, 0xe0, 0xee, 0x22, 0x5d, 0x4b, 0x62, 0xaa, 0x4d, 0xca, 0x65, 0x06, 0xc1, 0xac, 0xdb, 0xec, 0xc0, 0x55, 0x25, 0x69, 0xb4, 0xb2, 0x14, 0x36, 0xa5, 0x69, 0x2e, 0x25, 0xd9, 0x0d, 0x3b, 0xc2, 0xeb, 0x7c, 0xe2, 0x40, 0x78}, SECP256K1_FE_CONST(0x948b40e7, 0x181713bc, 0x018ec170, 0x2d3d054d, 0x15746c59, 0xa7020730, 0xdd13ecf9, 0x85a010d7), 0}, + {{0xc8, 0x94, 0xce, 0x48, 0xbf, 0xec, 0x43, 0x30, 0x14, 0xb9, 0x31, 0xa6, 0xad, 0x42, 0x26, 0xd7, 0xdb, 0xd8, 0xea, 0xa7, 0xb6, 0xe3, 0xfa, 0xa8, 0xd0, 0xef, 0x94, 0x05, 0x2b, 0xcf, 0x8c, 0xff, 0x33, 0x6e, 0xeb, 0x39, 0x19, 0xe2, 0xb4, 0xef, 0xb7, 0x46, 0xc7, 0xf7, 0x1b, 0xbc, 0xa7, 0xe9, 0x38, 0x32, 0x30, 0xfb, 0xbc, 0x48, 0xff, 0xaf, 0xe7, 0x7e, 0x8b, 0xcc, 0x69, 0x54, 0x24, 0x71}, SECP256K1_FE_CONST(0xf1c91acd, 0xc2525330, 0xf9b53158, 0x434a4d43, 0xa1c547cf, 0xf29f1550, 0x6f5da4eb, 0x4fe8fa5a), 1}, + {{0xcb, 0xb0, 0xde, 0xab, 0x12, 0x57, 0x54, 0xf1, 0xfd, 0xb2, 0x03, 0x8b, 0x04, 0x34, 0xed, 0x9c, 0xb3, 0xfb, 0x53, 0xab, 0x73, 0x53, 0x91, 0x12, 0x99, 0x94, 0xa5, 0x35, 0xd9, 0x25, 0xf6, 0x73, 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}, SECP256K1_FE_CONST(0x872d81ed, 0x8831d999, 0x8b67cb71, 0x05243edb, 0xf86c10ed, 0xfebb786c, 0x110b02d0, 0x7b2e67cd), 0}, + {{0xd9, 0x17, 0xb7, 0x86, 0xda, 0xc3, 0x56, 0x70, 0xc3, 0x30, 0xc9, 0xc5, 0xae, 0x59, 0x71, 0xdf, 0xb4, 0x95, 0xc8, 0xae, 0x52, 0x3e, 0xd9, 0x7e, 0xe2, 0x42, 0x01, 0x17, 0xb1, 0x71, 0xf4, 0x1e, 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, 0x20, 0x01, 0xf6, 0xf6}, SECP256K1_FE_CONST(0xe45b71e1, 0x10b831f2, 0xbdad8651, 0x994526e5, 0x8393fde4, 0x328b1ec0, 0x4d598971, 0x42584691), 1}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 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}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe2, 0x8b, 0xd8, 0xf5, 0x92, 0x9b, 0x46, 0x7e, 0xb7, 0x0e, 0x04, 0x33, 0x23, 0x74, 0xff, 0xb7, 0xe7, 0x18, 0x02, 0x18, 0xad, 0x16, 0xea, 0xa4, 0x6b, 0x71, 0x61, 0xaa, 0x67, 0x9e, 0xb4, 0x26, 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}, SECP256K1_FE_CONST(0x66b8c980, 0xa75c72e5, 0x98d383a3, 0x5a62879f, 0x844242ad, 0x1e73ff12, 0xedaa59f4, 0xe58632b5), 0}, + {{0xe7, 0xee, 0x58, 0x14, 0xc1, 0x70, 0x6b, 0xf8, 0xa8, 0x93, 0x96, 0xa9, 0xb0, 0x32, 0xbc, 0x01, 0x4c, 0x2c, 0xac, 0x9c, 0x12, 0x11, 0x27, 0xdb, 0xf6, 0xc9, 0x92, 0x78, 0xf8, 0xbb, 0x53, 0xd1, 0xdf, 0xd0, 0x4d, 0xbc, 0xda, 0x8e, 0x35, 0x24, 0x66, 0xb6, 0xfc, 0xd5, 0xf2, 0xde, 0xa3, 0xe1, 0x7d, 0x5e, 0x13, 0x31, 0x15, 0x88, 0x6e, 0xda, 0x20, 0xdb, 0x8a, 0x12, 0xb5, 0x4d, 0xe7, 0x1b}, SECP256K1_FE_CONST(0xe842c6e3, 0x529b2342, 0x70a5e977, 0x44edc34a, 0x04d7ba94, 0xe44b6d25, 0x23c9cf01, 0x95730a50), 1}, + {{0xf2, 0x92, 0xe4, 0x68, 0x25, 0xf9, 0x22, 0x5a, 0xd2, 0x3d, 0xc0, 0x57, 0xc1, 0xd9, 0x1c, 0x4f, 0x57, 0xfc, 0xb1, 0x38, 0x6f, 0x29, 0xef, 0x10, 0x48, 0x1c, 0xb1, 0xd2, 0x25, 0x18, 0x59, 0x3f, 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, 0x70, 0x11, 0xc9, 0x89}, SECP256K1_FE_CONST(0x3cea2c53, 0xb8b01701, 0x66ac7da6, 0x7194694a, 0xdacc84d5, 0x6389225e, 0x330134da, 0xb85a4d55), 0}, + {{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}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{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, 0x01, 0xd3, 0x47, 0x5b, 0xf7, 0x65, 0x5b, 0x0f, 0xb2, 0xd8, 0x52, 0x92, 0x10, 0x35, 0xb2, 0xef, 0x60, 0x7f, 0x49, 0x06, 0x9b, 0x97, 0x45, 0x4e, 0x67, 0x95, 0x25, 0x10, 0x62, 0x74, 0x17, 0x71}, SECP256K1_FE_CONST(0xb5da00b7, 0x3cd65605, 0x20e7c364, 0x086e7cd2, 0x3a34bf60, 0xd0e707be, 0x9fc34d4c, 0xd5fdfa2c), 1}, + {{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, 0x42, 0x18, 0xf2, 0x0a, 0xe6, 0xc6, 0x46, 0xb3, 0x63, 0xdb, 0x68, 0x60, 0x58, 0x22, 0xfb, 0x14, 0x26, 0x4c, 0xa8, 0xd2, 0x58, 0x7f, 0xdd, 0x6f, 0xbc, 0x75, 0x0d, 0x58, 0x7e, 0x76, 0xa7, 0xee}, SECP256K1_FE_CONST(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaa9, 0xfffffd6b), 0}, + {{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, 0x82, 0x27, 0x7c, 0x4a, 0x71, 0xf9, 0xd2, 0x2e, 0x66, 0xec, 0xe5, 0x23, 0xf8, 0xfa, 0x08, 0x74, 0x1a, 0x7c, 0x09, 0x12, 0xc6, 0x6a, 0x69, 0xce, 0x68, 0x51, 0x4b, 0xfd, 0x35, 0x15, 0xb4, 0x9f}, SECP256K1_FE_CONST(0xf482f2e2, 0x41753ad0, 0xfb89150d, 0x8491dc1e, 0x34ff0b8a, 0xcfbb442c, 0xfe999e2e, 0x5e6fd1d2), 1}, + {{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, 0x84, 0x21, 0xcc, 0x93, 0x0e, 0x77, 0xc9, 0xf5, 0x14, 0xb6, 0x91, 0x5c, 0x3d, 0xbe, 0x2a, 0x94, 0xc6, 0xd8, 0xf6, 0x90, 0xb5, 0xb7, 0x39, 0x86, 0x4b, 0xa6, 0x78, 0x9f, 0xb8, 0xa5, 0x5d, 0xd0}, SECP256K1_FE_CONST(0x9f59c402, 0x75f5085a, 0x006f05da, 0xe77eb98c, 0x6fd0db1a, 0xb4a72ac4, 0x7eae90a4, 0xfc9e57e0), 0}, + {{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, 0xd1, 0x9c, 0x18, 0x2d, 0x27, 0x59, 0xcd, 0x99, 0x82, 0x42, 0x28, 0xd9, 0x47, 0x99, 0xf8, 0xc6, 0x55, 0x7c, 0x38, 0xa1, 0xc0, 0xd6, 0x77, 0x9b, 0x9d, 0x4b, 0x72, 0x9c, 0x6f, 0x1c, 0xcc, 0x42}, SECP256K1_FE_CONST(0x70720db7, 0xe238d041, 0x21f5b1af, 0xd8cc5ad9, 0xd18944c6, 0xbdc94881, 0xf502b7a3, 0xaf3aecff), 0}, + {{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}, SECP256K1_FE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c), 0}, + {{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, 0xff, 0x26, 0x64, 0xbb, 0xd5}, SECP256K1_FE_CONST(0x50873db3, 0x1badcc71, 0x890e4f67, 0x753a6575, 0x7f97aaa7, 0xdd5f1e82, 0xb753ace3, 0x2219064b), 0}, + {{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, 0xff, 0x70, 0x28, 0xde, 0x7d}, SECP256K1_FE_CONST(0x1eea9cc5, 0x9cfcf2fa, 0x151ac6c2, 0x74eea411, 0x0feb4f7b, 0x68c59657, 0x32e9992e, 0x976ef68e), 0}, + {{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, 0xff, 0xcb, 0xcf, 0xb7, 0xe7}, SECP256K1_FE_CONST(0x12303941, 0xaedc2088, 0x80735b1f, 0x1795c8e5, 0x5be520ea, 0x93e10335, 0x7b5d2adb, 0x7ed59b8e), 0}, + {{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, 0xff, 0xf3, 0x11, 0x3a, 0xd9}, SECP256K1_FE_CONST(0x7eed6b70, 0xe7b0767c, 0x7d7feac0, 0x4e57aa2a, 0x12fef5e0, 0xf48f878f, 0xcbb88b3b, 0x6b5e0783), 0}, + {{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, 0x13, 0xce, 0xa4, 0xa7, 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}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{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, 0x13, 0xce, 0xa4, 0xa7, 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}, SECP256K1_FE_CONST(0x64998443, 0x5b62b4a2, 0x5d40c613, 0x3e8d9ab8, 0xc53d4b05, 0x9ee8a154, 0xa3be0fcf, 0x4e892edb), 0}, + {{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, 0x15, 0x02, 0x8c, 0x59, 0x00, 0x63, 0xf6, 0x4d, 0x5a, 0x7f, 0x1c, 0x14, 0x91, 0x5c, 0xd6, 0x1e, 0xac, 0x88, 0x6a, 0xb2, 0x95, 0xbe, 0xbd, 0x91, 0x99, 0x25, 0x04, 0xcf, 0x77, 0xed, 0xb0, 0x28, 0xbd, 0xd6, 0x26, 0x7f}, SECP256K1_FE_CONST(0x3fde5713, 0xf8282eea, 0xd7d39d42, 0x01f44a7c, 0x85a5ac8a, 0x0681f35e, 0x54085c6b, 0x69543374), 1}, + {{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, 0x27, 0x15, 0xde, 0x86, 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}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{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, 0x27, 0x15, 0xde, 0x86, 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}, SECP256K1_FE_CONST(0x3524f77f, 0xa3a6eb43, 0x89c3cb5d, 0x27f1f914, 0x62086429, 0xcd6c0cb0, 0xdf43ea8f, 0x1e7b3fb4), 0}, + {{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, 0x2c, 0x2c, 0x57, 0x09, 0xe7, 0x15, 0x6c, 0x41, 0x77, 0x17, 0xf2, 0xfe, 0xab, 0x14, 0x71, 0x41, 0xec, 0x3d, 0xa1, 0x9f, 0xb7, 0x59, 0x57, 0x5c, 0xc6, 0xe3, 0x7b, 0x2e, 0xa5, 0xac, 0x93, 0x09, 0xf2, 0x6f, 0x0f, 0x66}, SECP256K1_FE_CONST(0xd2469ab3, 0xe04acbb2, 0x1c65a180, 0x9f39caaf, 0xe7a77c13, 0xd10f9dd3, 0x8f391c01, 0xdc499c52), 0}, + {{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, 0x3a, 0x08, 0xcc, 0x1e, 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, 0xf7, 0x60, 0xe9, 0xf0}, SECP256K1_FE_CONST(0x38e2a5ce, 0x6a93e795, 0xe16d2c39, 0x8bc99f03, 0x69202ce2, 0x1e8f09d5, 0x6777b40f, 0xc512bccc), 1}, + {{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, 0x3e, 0x91, 0x25, 0x7d, 0x93, 0x20, 0x16, 0xcb, 0xf6, 0x9c, 0x44, 0x71, 0xbd, 0x1f, 0x65, 0x6c, 0x6a, 0x10, 0x7f, 0x19, 0x73, 0xde, 0x4a, 0xf7, 0x08, 0x6d, 0xb8, 0x97, 0x27, 0x70, 0x60, 0xe2, 0x56, 0x77, 0xf1, 0x9a}, SECP256K1_FE_CONST(0x864b3dc9, 0x02c37670, 0x9c10a93a, 0xd4bbe29f, 0xce0012f3, 0xdc8672c6, 0x286bba28, 0xd7d6d6fc), 0}, + {{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, 0x79, 0x5d, 0x6c, 0x1c, 0x32, 0x2c, 0xad, 0xf5, 0x99, 0xdb, 0xb8, 0x64, 0x81, 0x52, 0x2b, 0x3c, 0xc5, 0x5f, 0x15, 0xa6, 0x79, 0x32, 0xdb, 0x2a, 0xfa, 0x01, 0x11, 0xd9, 0xed, 0x69, 0x81, 0xbc, 0xd1, 0x24, 0xbf, 0x44}, SECP256K1_FE_CONST(0x766dfe4a, 0x700d9bee, 0x288b903a, 0xd58870e3, 0xd4fe2f0e, 0xf780bcac, 0x5c823f32, 0x0d9a9bef), 0}, + {{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, 0x8e, 0x42, 0x6f, 0x03, 0x92, 0x38, 0x90, 0x78, 0xc1, 0x2b, 0x1a, 0x89, 0xe9, 0x54, 0x2f, 0x05, 0x93, 0xbc, 0x96, 0xb6, 0xbf, 0xde, 0x82, 0x24, 0xf8, 0x65, 0x4e, 0xf5, 0xd5, 0xcd, 0xa9, 0x35, 0xa3, 0x58, 0x21, 0x94}, SECP256K1_FE_CONST(0xfaec7bc1, 0x987b6323, 0x3fbc5f95, 0x6edbf37d, 0x54404e74, 0x61c58ab8, 0x631bc68e, 0x451a0478), 0}, + {{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, 0x91, 0x19, 0x21, 0x39, 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, 0x45, 0xf0, 0xf1, 0xeb}, SECP256K1_FE_CONST(0xec29a50b, 0xae138dbf, 0x7d8e2482, 0x5006bb5f, 0xc1a2cc12, 0x43ba335b, 0xc6116fb9, 0xe498ec1f), 0}, + {{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, 0x98, 0xeb, 0x9a, 0xb7, 0x6e, 0x84, 0x49, 0x9c, 0x48, 0x3b, 0x3b, 0xf0, 0x62, 0x14, 0xab, 0xfe, 0x06, 0x5d, 0xdd, 0xf4, 0x3b, 0x86, 0x01, 0xde, 0x59, 0x6d, 0x63, 0xb9, 0xe4, 0x5a, 0x16, 0x6a, 0x58, 0x05, 0x41, 0xfe}, SECP256K1_FE_CONST(0x1e0ff2de, 0xe9b09b13, 0x6292a9e9, 0x10f0d6ac, 0x3e552a64, 0x4bba39e6, 0x4e9dd3e3, 0xbbd3d4d4), 0}, + {{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, 0x9b, 0x77, 0xb7, 0xf2, 0xc7, 0x4d, 0x99, 0xef, 0xce, 0xaa, 0x55, 0x0f, 0x1a, 0xd1, 0xc0, 0xf4, 0x3f, 0x46, 0xe7, 0xff, 0x1e, 0xe3, 0xbd, 0x01, 0x62, 0xb7, 0xbf, 0x55, 0xf2, 0x96, 0x5d, 0xa9, 0xc3, 0x45, 0x06, 0x46}, SECP256K1_FE_CONST(0x8b7dd5c3, 0xedba9ee9, 0x7b70eff4, 0x38f22dca, 0x9849c825, 0x4a2f3345, 0xa0a572ff, 0xeaae0928), 0}, + {{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, 0x9b, 0x77, 0xb7, 0xf2, 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, 0x15, 0x6c, 0xa8, 0x96}, SECP256K1_FE_CONST(0x0881950c, 0x8f51d6b9, 0xa6387465, 0xd5f12609, 0xef1bb254, 0x12a08a74, 0xcb2dfb20, 0x0c74bfbf), 1}, + {{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, 0xa2, 0xf5, 0xcd, 0x83, 0x88, 0x16, 0xc1, 0x6c, 0x4f, 0xe8, 0xa1, 0x66, 0x1d, 0x60, 0x6f, 0xdb, 0x13, 0xcf, 0x9a, 0xf0, 0x4b, 0x97, 0x9a, 0x2e, 0x15, 0x9a, 0x09, 0x40, 0x9e, 0xbc, 0x86, 0x45, 0xd5, 0x8f, 0xde, 0x02}, SECP256K1_FE_CONST(0x2f083207, 0xb9fd9b55, 0x0063c31c, 0xd62b8746, 0xbd543bdc, 0x5bbf10e3, 0xa35563e9, 0x27f440c8), 0}, + {{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, 0xb1, 0x3f, 0x75, 0xc0, 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}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{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, 0xb1, 0x3f, 0x75, 0xc0, 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}, SECP256K1_FE_CONST(0x4f51e0be, 0x078e0cdd, 0xab274215, 0x6adba7e7, 0xa148e731, 0x57072fd6, 0x18cd6094, 0x2b146bd0), 0}, + {{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, 0xe7, 0xbc, 0x1f, 0x8d, 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}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{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, 0xe7, 0xbc, 0x1f, 0x8d, 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}, SECP256K1_FE_CONST(0x16c2ccb5, 0x4352ff4b, 0xd794f6ef, 0xd613c721, 0x97ab7082, 0xda5b563b, 0xdf9cb3ed, 0xaafe74c2), 0}, + {{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, 0xef, 0x64, 0xd1, 0x62, 0x75, 0x05, 0x46, 0xce, 0x42, 0xb0, 0x43, 0x13, 0x61, 0xe5, 0x2d, 0x4f, 0x52, 0x42, 0xd8, 0xf2, 0x4f, 0x33, 0xe6, 0xb1, 0xf9, 0x9b, 0x59, 0x16, 0x47, 0xcb, 0xc8, 0x08, 0xf4, 0x62, 0xaf, 0x51}, SECP256K1_FE_CONST(0xd41244d1, 0x1ca4f652, 0x40687759, 0xf95ca9ef, 0xbab767ed, 0xedb38fd1, 0x8c36e18c, 0xd3b6f6a9), 1}, + {{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, 0xf0, 0xe5, 0xbe, 0x52, 0x37, 0x2d, 0xd6, 0xe8, 0x94, 0xb2, 0xa3, 0x26, 0xfc, 0x36, 0x05, 0xa6, 0xe8, 0xf3, 0xc6, 0x9c, 0x71, 0x0b, 0xf2, 0x7d, 0x63, 0x0d, 0xfe, 0x20, 0x04, 0x98, 0x8b, 0x78, 0xeb, 0x6e, 0xab, 0x36}, SECP256K1_FE_CONST(0x64bf84dd, 0x5e03670f, 0xdb24c0f5, 0xd3c2c365, 0x736f51db, 0x6c92d950, 0x10716ad2, 0xd36134c8), 0}, + {{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, 0xfe, 0xfb, 0xb9, 0x82, 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, 0xf6, 0xd6, 0xdb, 0x1f}, SECP256K1_FE_CONST(0x1c92ccdf, 0xcf4ac550, 0xc28db57c, 0xff0c8515, 0xcb26936c, 0x786584a7, 0x0114008d, 0x6c33a34b), 0}, +}; + +/** This is a hasher for ellswift_xdh which just returns the shared X coordinate. + * + * This is generally a bad idea as it means changes to the encoding of the + * exchanged public keys do not affect the shared secret. However, it's used here + * in tests to be able to verify the X coordinate through other means. + */ +static int ellswift_xdh_hash_x32(unsigned char *output, const unsigned char *x32, const unsigned char *ours64, const unsigned char *theirs64, void *data) { + (void)ours64; + (void)theirs64; + (void)data; + memcpy(output, x32, 32); + return 1; +} + +void run_ellswift_tests(void) { + int i = 0; + /* Test vectors. */ + for (i = 0; (unsigned)i < sizeof(ellswift_xswiftec_inv_tests) / sizeof(ellswift_xswiftec_inv_tests[0]); ++i) { + const struct ellswift_xswiftec_inv_test* testcase = &ellswift_xswiftec_inv_tests[i]; + int c; + for (c = 0; c < 8; ++c) { + secp256k1_fe t; + int ret = secp256k1_ellswift_xswiftec_inv_var(&t, &testcase->x, &testcase->u, c); + CHECK(ret == ((testcase->enc_bitmap >> c) & 1)); + if (ret) { + secp256k1_fe x2; + CHECK(check_fe_equal(&t, &testcase->encs[c])); + secp256k1_ellswift_xswiftec_var(&x2, &testcase->u, &testcase->encs[c]); + CHECK(check_fe_equal(&testcase->x, &x2)); + } + } + } + for (i = 0; (unsigned)i < sizeof(ellswift_decode_tests) / sizeof(ellswift_decode_tests[0]); ++i) { + const struct ellswift_decode_test* testcase = &ellswift_decode_tests[i]; + secp256k1_pubkey pubkey; + secp256k1_ge ge; + int ret; + ret = secp256k1_ellswift_decode(ctx, &pubkey, testcase->enc); + CHECK(ret); + ret = secp256k1_pubkey_load(ctx, &ge, &pubkey); + CHECK(ret); + CHECK(check_fe_equal(&testcase->x, &ge.x)); + CHECK(secp256k1_fe_is_odd(&ge.y) == testcase->odd_y); + } + /* Verify that secp256k1_ellswift_encode + decode roundtrips. */ + for (i = 0; i < 1000 * count; i++) { + unsigned char rnd32[32]; + unsigned char ell64[64]; + secp256k1_ge g, g2; + secp256k1_pubkey pubkey, pubkey2; + /* Generate random public key and random randomizer. */ + random_group_element_test(&g); + secp256k1_pubkey_save(&pubkey, &g); + secp256k1_testrand256(rnd32); + /* Convert the public key to ElligatorSwift and back. */ + secp256k1_ellswift_encode(ctx, ell64, &pubkey, rnd32); + secp256k1_ellswift_decode(ctx, &pubkey2, ell64); + secp256k1_pubkey_load(ctx, &g2, &pubkey2); + /* Compare with original. */ + ge_equals_ge(&g, &g2); + } + /* Verify the behavior of secp256k1_ellswift_create */ + for (i = 0; i < 400 * count; i++) { + unsigned char rnd32[32], sec32[32]; + secp256k1_scalar sec; + secp256k1_gej res; + secp256k1_ge dec; + secp256k1_pubkey pub; + unsigned char ell64[64]; + int ret; + /* Generate random secret key and random randomizer. */ + secp256k1_testrand256_test(rnd32); + random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Construct ElligatorSwift-encoded public keys for that key. */ + ret = secp256k1_ellswift_create(ctx, ell64, sec32, rnd32); + CHECK(ret); + /* Decode it, and compare with traditionally-computed public key. */ + secp256k1_ellswift_decode(ctx, &pub, ell64); + secp256k1_pubkey_load(ctx, &dec, &pub); + secp256k1_ecmult(&res, NULL, &secp256k1_scalar_zero, &sec); + ge_equals_gej(&dec, &res); + } + /* Verify that secp256k1_ellswift_xdh computes the right shared X coordinate. */ + for (i = 0; i < 800 * count; i++) { + unsigned char ell64[64], sec32[32], share32[32]; + secp256k1_scalar sec; + secp256k1_ge dec, res; + secp256k1_fe share_x; + secp256k1_gej decj, resj; + secp256k1_pubkey pub; + int ret; + /* Generate random secret key. */ + random_scalar_order_test(&sec); + secp256k1_scalar_get_b32(sec32, &sec); + /* Generate random ElligatorSwift encoding for the remote key and decode it. */ + secp256k1_testrand256_test(ell64); + secp256k1_testrand256_test(ell64 + 32); + secp256k1_ellswift_decode(ctx, &pub, ell64); + secp256k1_pubkey_load(ctx, &dec, &pub); + secp256k1_gej_set_ge(&decj, &dec); + /* Compute the X coordinate of seckey*pubkey using ellswift_xdh. Note that we + * pass ell64 as claimed (but incorrect) encoding for sec32 here; this works + * because the "hasher" function we use here ignores the ours64 argument. */ + ret = secp256k1_ellswift_xdh(ctx, share32, ell64, ell64, sec32, &ellswift_xdh_hash_x32, NULL); + CHECK(ret); + secp256k1_fe_set_b32(&share_x, share32); + /* Compute seckey*pubkey directly. */ + secp256k1_ecmult(&resj, &decj, &sec, NULL); + secp256k1_ge_set_gej(&res, &resj); + /* Compare. */ + CHECK(check_fe_equal(&res.x, &share_x)); + } + /* Verify the joint behavior of secp256k1_ellswift_xdh */ + for (i = 0; i < 200 * count; i++) { + unsigned char rnd32a[32], rnd32b[32], sec32a[32], sec32b[32]; + secp256k1_scalar seca, secb; + unsigned char ell64a[64], ell64b[64]; + unsigned char share32a[32], share32b[32]; + int ret; + /* Generate random secret keys and random randomizers. */ + secp256k1_testrand256_test(rnd32a); + secp256k1_testrand256_test(rnd32b); + random_scalar_order_test(&seca); + random_scalar_order_test(&secb); + secp256k1_scalar_get_b32(sec32a, &seca); + secp256k1_scalar_get_b32(sec32b, &secb); + /* Construct ElligatorSwift-encoded public keys for those keys. */ + ret = secp256k1_ellswift_create(ctx, ell64a, sec32a, rnd32a); + CHECK(ret); + ret = secp256k1_ellswift_create(ctx, ell64b, sec32b, rnd32b); + CHECK(ret); + /* Compute the shared secret both ways and compare with each other. */ + ret = secp256k1_ellswift_xdh(ctx, share32a, ell64a, ell64b, sec32b, NULL, NULL); + CHECK(ret); + ret = secp256k1_ellswift_xdh(ctx, share32b, ell64b, ell64a, sec32a, NULL, NULL); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32a, share32b, 32) == 0); + /* Verify that the shared secret doesn't match if a secret key or remote pubkey changes. */ + secp256k1_testrand_flip(ell64a, 64); + ret = secp256k1_ellswift_xdh(ctx, share32a, ell64a, ell64b, sec32b, NULL, NULL); + CHECK(ret); + CHECK(secp256k1_memcmp_var(share32a, share32b, 32) != 0); + secp256k1_testrand_flip(sec32a, 32); + ret = secp256k1_ellswift_xdh(ctx, share32a, ell64a, ell64b, sec32b, NULL, NULL); + CHECK(!ret || secp256k1_memcmp_var(share32a, share32b, 32) != 0); + } +} + +#endif diff --git a/src/modules/extrakeys/tests_exhaustive_impl.h b/src/modules/extrakeys/tests_exhaustive_impl.h index d4a2f5bdf4..5ecc90d50f 100644 --- a/src/modules/extrakeys/tests_exhaustive_impl.h +++ b/src/modules/extrakeys/tests_exhaustive_impl.h @@ -7,8 +7,8 @@ #ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H #define SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H -#include "src/modules/extrakeys/main_impl.h" #include "../../../include/secp256k1_extrakeys.h" +#include "main_impl.h" static void test_exhaustive_extrakeys(const secp256k1_context *ctx, const secp256k1_ge* group) { secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1]; diff --git a/src/modules/extrakeys/tests_impl.h b/src/modules/extrakeys/tests_impl.h index c8a99f4466..8030aedad6 100644 --- a/src/modules/extrakeys/tests_impl.h +++ b/src/modules/extrakeys/tests_impl.h @@ -9,11 +9,9 @@ #include "../../../include/secp256k1_extrakeys.h" -static secp256k1_context* api_test_context(int flags, int *ecount) { - secp256k1_context *ctx0 = secp256k1_context_create(flags); +static void set_counting_callbacks(secp256k1_context *ctx0, int *ecount) { secp256k1_context_set_error_callback(ctx0, counting_illegal_callback_fn, ecount); secp256k1_context_set_illegal_callback(ctx0, counting_illegal_callback_fn, ecount); - return ctx0; } void test_xonly_pubkey(void) { @@ -31,28 +29,25 @@ void test_xonly_pubkey(void) { int i; int ecount; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount); - secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount); + + set_counting_callbacks(ctx, &ecount); secp256k1_testrand256(sk); memset(ones32, 0xFF, 32); secp256k1_testrand256(xy_sk); - CHECK(secp256k1_ec_pubkey_create(sign, &pk, sk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, &pk_parity, &pk) == 1); /* Test xonly_pubkey_from_pubkey */ ecount = 0; - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, &pk_parity, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(sign, &xonly_pk, &pk_parity, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(verify, &xonly_pk, &pk_parity, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, NULL, &pk_parity, &pk) == 0); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, NULL, &pk_parity, &pk) == 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, NULL, &pk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, &pk_parity, NULL) == 0); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, NULL, &pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, &pk_parity, NULL) == 0); CHECK(ecount == 2); memset(&pk, 0, sizeof(pk)); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, &pk_parity, &pk) == 0); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, &pk_parity, &pk) == 0); CHECK(ecount == 3); /* Choose a secret key such that the resulting pubkey and xonly_pubkey match. */ @@ -78,9 +73,9 @@ void test_xonly_pubkey(void) { /* Test xonly_pubkey_serialize and xonly_pubkey_parse */ ecount = 0; - CHECK(secp256k1_xonly_pubkey_serialize(none, NULL, &xonly_pk) == 0); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, NULL, &xonly_pk) == 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_serialize(none, buf32, NULL) == 0); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, NULL) == 0); CHECK(secp256k1_memcmp_var(buf32, zeros64, 32) == 0); CHECK(ecount == 2); { @@ -88,20 +83,20 @@ void test_xonly_pubkey(void) { * special casing. */ secp256k1_xonly_pubkey pk_tmp; memset(&pk_tmp, 0, sizeof(pk_tmp)); - CHECK(secp256k1_xonly_pubkey_serialize(none, buf32, &pk_tmp) == 0); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &pk_tmp) == 0); } /* pubkey_load called illegal callback */ CHECK(ecount == 3); - CHECK(secp256k1_xonly_pubkey_serialize(none, buf32, &xonly_pk) == 1); + CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &xonly_pk) == 1); ecount = 0; - CHECK(secp256k1_xonly_pubkey_parse(none, NULL, buf32) == 0); + CHECK(secp256k1_xonly_pubkey_parse(ctx, NULL, buf32) == 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_parse(none, &xonly_pk, NULL) == 0); + CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pk, NULL) == 0); CHECK(ecount == 2); /* Serialization and parse roundtrip */ - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, NULL, &pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, NULL, &pk) == 1); CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &xonly_pk) == 1); CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pk_tmp, buf32) == 1); CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(xonly_pk)) == 0); @@ -109,11 +104,11 @@ void test_xonly_pubkey(void) { /* Test parsing invalid field elements */ memset(&xonly_pk, 1, sizeof(xonly_pk)); /* Overflowing field element */ - CHECK(secp256k1_xonly_pubkey_parse(none, &xonly_pk, ones32) == 0); + CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pk, ones32) == 0); CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0); memset(&xonly_pk, 1, sizeof(xonly_pk)); /* There's no point with x-coordinate 0 on secp256k1 */ - CHECK(secp256k1_xonly_pubkey_parse(none, &xonly_pk, zeros64) == 0); + CHECK(secp256k1_xonly_pubkey_parse(ctx, &xonly_pk, zeros64) == 0); CHECK(secp256k1_memcmp_var(&xonly_pk, zeros64, sizeof(xonly_pk)) == 0); /* If a random 32-byte string can not be parsed with ec_pubkey_parse * (because interpreted as X coordinate it does not correspond to a point on @@ -131,10 +126,6 @@ void test_xonly_pubkey(void) { } } CHECK(ecount == 2); - - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(verify); } void test_xonly_pubkey_comparison(void) { @@ -149,29 +140,28 @@ void test_xonly_pubkey_comparison(void) { secp256k1_xonly_pubkey pk1; secp256k1_xonly_pubkey pk2; int ecount = 0; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - CHECK(secp256k1_xonly_pubkey_parse(none, &pk1, pk1_ser) == 1); - CHECK(secp256k1_xonly_pubkey_parse(none, &pk2, pk2_ser) == 1); + set_counting_callbacks(ctx, &ecount); - CHECK(secp256k1_xonly_pubkey_cmp(none, NULL, &pk2) < 0); + CHECK(secp256k1_xonly_pubkey_parse(ctx, &pk1, pk1_ser) == 1); + CHECK(secp256k1_xonly_pubkey_parse(ctx, &pk2, pk2_ser) == 1); + + CHECK(secp256k1_xonly_pubkey_cmp(ctx, NULL, &pk2) < 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, NULL) > 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk1, NULL) > 0); CHECK(ecount == 2); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk2) < 0); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk1) > 0); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk1) == 0); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk2) == 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk1, &pk2) < 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk2, &pk1) > 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk1, &pk1) == 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk2, &pk2) == 0); CHECK(ecount == 2); memset(&pk1, 0, sizeof(pk1)); /* illegal pubkey */ - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk2) < 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk1, &pk2) < 0); CHECK(ecount == 3); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk1) == 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk1, &pk1) == 0); CHECK(ecount == 5); - CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk1) > 0); + CHECK(secp256k1_xonly_pubkey_cmp(ctx, &pk2, &pk1) > 0); CHECK(ecount == 6); - - secp256k1_context_destroy(none); } void test_xonly_pubkey_tweak(void) { @@ -186,39 +176,38 @@ void test_xonly_pubkey_tweak(void) { int i; int ecount; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount); - secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount); + + set_counting_callbacks(ctx, &ecount); memset(overflows, 0xff, sizeof(overflows)); secp256k1_testrand256(tweak); secp256k1_testrand256(sk); CHECK(secp256k1_ec_pubkey_create(ctx, &internal_pk, sk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); ecount = 0; - CHECK(secp256k1_xonly_pubkey_tweak_add(none, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add(sign, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, NULL, &internal_xonly_pk, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, NULL, &internal_xonly_pk, tweak) == 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, NULL, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, NULL, tweak) == 0); CHECK(ecount == 2); /* NULL internal_xonly_pk zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, NULL) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, NULL) == 0); CHECK(ecount == 3); /* NULL tweak zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); /* Invalid tweak zeroes the output_pk */ - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, overflows) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); /* A zero tweak is fine */ - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, zeros64) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, zeros64) == 1); /* Fails if the resulting key was infinity */ for (i = 0; i < count; i++) { @@ -228,8 +217,8 @@ void test_xonly_pubkey_tweak(void) { secp256k1_scalar_set_b32(&scalar_tweak, sk, NULL); secp256k1_scalar_negate(&scalar_tweak, &scalar_tweak); secp256k1_scalar_get_b32(tweak, &scalar_tweak); - CHECK((secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, sk) == 0) - || (secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 0)); + CHECK((secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, sk) == 0) + || (secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 0)); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); } @@ -237,13 +226,9 @@ void test_xonly_pubkey_tweak(void) { memset(&internal_xonly_pk, 0, sizeof(internal_xonly_pk)); secp256k1_testrand256(tweak); ecount = 0; - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 0); CHECK(ecount == 1); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); - - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(verify); } void test_xonly_pubkey_tweak_check(void) { @@ -260,33 +245,32 @@ void test_xonly_pubkey_tweak_check(void) { unsigned char tweak[32]; int ecount; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount); - secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount); + + set_counting_callbacks(ctx, &ecount); memset(overflows, 0xff, sizeof(overflows)); secp256k1_testrand256(tweak); secp256k1_testrand256(sk); CHECK(secp256k1_ec_pubkey_create(ctx, &internal_pk, sk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); ecount = 0; - CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(verify, &output_xonly_pk, &pk_parity, &output_pk) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &output_xonly_pk, &pk_parity, &output_pk) == 1); CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &output_xonly_pk) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(none, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(sign, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, NULL, pk_parity, &internal_xonly_pk, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, NULL, pk_parity, &internal_xonly_pk, tweak) == 0); CHECK(ecount == 1); /* invalid pk_parity value */ - CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, 2, &internal_xonly_pk, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, 2, &internal_xonly_pk, tweak) == 0); CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, NULL, tweak) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, pk_parity, NULL, tweak) == 0); CHECK(ecount == 2); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, NULL) == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, buf32, pk_parity, &internal_xonly_pk, NULL) == 0); CHECK(ecount == 3); memset(tweak, 1, sizeof(tweak)); @@ -307,10 +291,6 @@ void test_xonly_pubkey_tweak_check(void) { CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); CHECK(ecount == 3); - - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(verify); } /* Starts with an initial pubkey and recursively creates N_PUBKEYS - 1 @@ -356,12 +336,10 @@ void test_keypair(void) { secp256k1_xonly_pubkey xonly_pk, xonly_pk_tmp; int pk_parity, pk_parity_tmp; int ecount; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount); - secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount); - secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp); - secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount); + secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_static); + + set_counting_callbacks(ctx, &ecount); + set_counting_callbacks(sttc, &ecount); CHECK(sizeof(zeros96) == sizeof(keypair)); memset(overflows, 0xFF, sizeof(overflows)); @@ -369,75 +347,75 @@ void test_keypair(void) { /* Test keypair_create */ ecount = 0; secp256k1_testrand256(sk); - CHECK(secp256k1_keypair_create(none, &keypair, sk) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); CHECK(ecount == 0); - CHECK(secp256k1_keypair_create(verify, &keypair, sk) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0); CHECK(ecount == 0); - CHECK(secp256k1_keypair_create(sign, NULL, sk) == 0); + CHECK(secp256k1_keypair_create(ctx, NULL, sk) == 0); CHECK(ecount == 1); - CHECK(secp256k1_keypair_create(sign, &keypair, NULL) == 0); + CHECK(secp256k1_keypair_create(ctx, &keypair, NULL) == 0); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); CHECK(ecount == 2); - CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); CHECK(ecount == 2); CHECK(secp256k1_keypair_create(sttc, &keypair, sk) == 0); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); CHECK(ecount == 3); /* Invalid secret key */ - CHECK(secp256k1_keypair_create(sign, &keypair, zeros96) == 0); + CHECK(secp256k1_keypair_create(ctx, &keypair, zeros96) == 0); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); - CHECK(secp256k1_keypair_create(sign, &keypair, overflows) == 0); + CHECK(secp256k1_keypair_create(ctx, &keypair, overflows) == 0); CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0); /* Test keypair_pub */ ecount = 0; secp256k1_testrand256(sk); CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); - CHECK(secp256k1_keypair_pub(none, &pk, &keypair) == 1); - CHECK(secp256k1_keypair_pub(none, NULL, &keypair) == 0); + CHECK(secp256k1_keypair_pub(ctx, &pk, &keypair) == 1); + CHECK(secp256k1_keypair_pub(ctx, NULL, &keypair) == 0); CHECK(ecount == 1); - CHECK(secp256k1_keypair_pub(none, &pk, NULL) == 0); + CHECK(secp256k1_keypair_pub(ctx, &pk, NULL) == 0); CHECK(ecount == 2); CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0); /* Using an invalid keypair is fine for keypair_pub */ memset(&keypair, 0, sizeof(keypair)); - CHECK(secp256k1_keypair_pub(none, &pk, &keypair) == 1); + CHECK(secp256k1_keypair_pub(ctx, &pk, &keypair) == 1); CHECK(secp256k1_memcmp_var(zeros96, &pk, sizeof(pk)) == 0); /* keypair holds the same pubkey as pubkey_create */ - CHECK(secp256k1_ec_pubkey_create(sign, &pk, sk) == 1); - CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1); - CHECK(secp256k1_keypair_pub(none, &pk_tmp, &keypair) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pk, sk) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); + CHECK(secp256k1_keypair_pub(ctx, &pk_tmp, &keypair) == 1); CHECK(secp256k1_memcmp_var(&pk, &pk_tmp, sizeof(pk)) == 0); /** Test keypair_xonly_pub **/ ecount = 0; secp256k1_testrand256(sk); CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk, &pk_parity, &keypair) == 1); - CHECK(secp256k1_keypair_xonly_pub(none, NULL, &pk_parity, &keypair) == 0); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk, &pk_parity, &keypair) == 1); + CHECK(secp256k1_keypair_xonly_pub(ctx, NULL, &pk_parity, &keypair) == 0); CHECK(ecount == 1); - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk, NULL, &keypair) == 1); - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk, &pk_parity, NULL) == 0); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk, NULL, &keypair) == 1); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk, &pk_parity, NULL) == 0); CHECK(ecount == 2); CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); /* Using an invalid keypair will set the xonly_pk to 0 (first reset * xonly_pk). */ - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk, &pk_parity, &keypair) == 1); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk, &pk_parity, &keypair) == 1); memset(&keypair, 0, sizeof(keypair)); - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk, &pk_parity, &keypair) == 0); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk, &pk_parity, &keypair) == 0); CHECK(secp256k1_memcmp_var(zeros96, &xonly_pk, sizeof(xonly_pk)) == 0); CHECK(ecount == 3); /** keypair holds the same xonly pubkey as pubkey_create **/ - CHECK(secp256k1_ec_pubkey_create(sign, &pk, sk) == 1); - CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &xonly_pk, &pk_parity, &pk) == 1); - CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1); - CHECK(secp256k1_keypair_xonly_pub(none, &xonly_pk_tmp, &pk_parity_tmp, &keypair) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pk, sk) == 1); + CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &xonly_pk, &pk_parity, &pk) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); + CHECK(secp256k1_keypair_xonly_pub(ctx, &xonly_pk_tmp, &pk_parity_tmp, &keypair) == 1); CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(pk)) == 0); CHECK(pk_parity == pk_parity_tmp); @@ -445,27 +423,23 @@ void test_keypair(void) { ecount = 0; secp256k1_testrand256(sk); CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); - CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1); - CHECK(secp256k1_keypair_sec(none, NULL, &keypair) == 0); + CHECK(secp256k1_keypair_sec(ctx, sk_tmp, &keypair) == 1); + CHECK(secp256k1_keypair_sec(ctx, NULL, &keypair) == 0); CHECK(ecount == 1); - CHECK(secp256k1_keypair_sec(none, sk_tmp, NULL) == 0); + CHECK(secp256k1_keypair_sec(ctx, sk_tmp, NULL) == 0); CHECK(ecount == 2); CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); /* keypair returns the same seckey it got */ - CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1); - CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1); + CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); + CHECK(secp256k1_keypair_sec(ctx, sk_tmp, &keypair) == 1); CHECK(secp256k1_memcmp_var(sk, sk_tmp, sizeof(sk_tmp)) == 0); /* Using an invalid keypair is fine for keypair_seckey */ memset(&keypair, 0, sizeof(keypair)); - CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1); + CHECK(secp256k1_keypair_sec(ctx, sk_tmp, &keypair) == 1); CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0); - - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(verify); secp256k1_context_destroy(sttc); } @@ -477,9 +451,8 @@ void test_keypair_add(void) { unsigned char tweak[32]; int i; int ecount = 0; - secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount); - secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount); - secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount); + + set_counting_callbacks(ctx, &ecount); CHECK(sizeof(zeros96) == sizeof(keypair)); secp256k1_testrand256(sk); @@ -487,14 +460,14 @@ void test_keypair_add(void) { memset(overflows, 0xFF, 32); CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(none, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_keypair_xonly_tweak_add(sign, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 1); CHECK(ecount == 0); - CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(verify, NULL, tweak) == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 1); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, NULL, tweak) == 0); CHECK(ecount == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, NULL) == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, NULL) == 0); CHECK(ecount == 2); /* This does not set the keypair to zeroes */ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0); @@ -530,18 +503,18 @@ void test_keypair_add(void) { memset(&keypair, 0, sizeof(keypair)); secp256k1_testrand256(tweak); ecount = 0; - CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 0); CHECK(ecount == 1); CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) == 0); /* Only seckey part of keypair invalid */ CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); memset(&keypair, 0, 32); - CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 0); CHECK(ecount == 2); /* Only pubkey part of keypair invalid */ CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); memset(&keypair.data[32], 0, 64); - CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(ctx, &keypair, tweak) == 0); CHECK(ecount == 3); /* Check that the keypair_tweak_add implementation is correct */ @@ -570,13 +543,10 @@ void test_keypair_add(void) { CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0); /* Check that the secret key in the keypair is tweaked correctly */ - CHECK(secp256k1_keypair_sec(none, sk32, &keypair) == 1); + CHECK(secp256k1_keypair_sec(ctx, sk32, &keypair) == 1); CHECK(secp256k1_ec_pubkey_create(ctx, &output_pk_expected, sk32) == 1); CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0); } - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(verify); } void run_extrakeys_tests(void) { diff --git a/src/modules/recovery/bench_impl.h b/src/modules/recovery/bench_impl.h index 4a9e886910..ffa00df479 100644 --- a/src/modules/recovery/bench_impl.h +++ b/src/modules/recovery/bench_impl.h @@ -7,7 +7,7 @@ #ifndef SECP256K1_MODULE_RECOVERY_BENCH_H #define SECP256K1_MODULE_RECOVERY_BENCH_H -#include "../include/secp256k1_recovery.h" +#include "../../../include/secp256k1_recovery.h" typedef struct { secp256k1_context *ctx; @@ -52,7 +52,7 @@ void run_recovery_bench(int iters, int argc, char** argv) { bench_recover_data data; int d = argc == 1; - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters); diff --git a/src/modules/recovery/tests_exhaustive_impl.h b/src/modules/recovery/tests_exhaustive_impl.h index 590a972ed3..ed9386b6f8 100644 --- a/src/modules/recovery/tests_exhaustive_impl.h +++ b/src/modules/recovery/tests_exhaustive_impl.h @@ -7,7 +7,7 @@ #ifndef SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H #define SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H -#include "src/modules/recovery/main_impl.h" +#include "main_impl.h" #include "../../../include/secp256k1_recovery.h" void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group) { diff --git a/src/modules/recovery/tests_impl.h b/src/modules/recovery/tests_impl.h index abf62f7f3a..0ff9294e38 100644 --- a/src/modules/recovery/tests_impl.h +++ b/src/modules/recovery/tests_impl.h @@ -30,11 +30,7 @@ static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned c void test_ecdsa_recovery_api(void) { /* Setup contexts that just count errors */ - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp); + secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_static); secp256k1_pubkey pubkey; secp256k1_pubkey recpubkey; secp256k1_ecdsa_signature normal_sig; @@ -50,15 +46,9 @@ void test_ecdsa_recovery_api(void) { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; - secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_error_callback(ctx, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount); secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount); /* Construct and verify corresponding public key. */ @@ -67,89 +57,73 @@ void test_ecdsa_recovery_api(void) { /* Check bad contexts and NULLs for signing */ ecount = 0; - CHECK(secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, privkey, NULL, NULL) == 1); CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(sign, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(both, NULL, message, privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, NULL, message, privkey, NULL, NULL) == 0); CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, NULL, privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, NULL, privkey, NULL, NULL) == 0); CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, NULL, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, NULL, NULL, NULL) == 0); CHECK(ecount == 3); CHECK(secp256k1_ecdsa_sign_recoverable(sttc, &recsig, message, privkey, NULL, NULL) == 0); CHECK(ecount == 4); /* This will fail or succeed randomly, and in either case will not ARG_CHECK failure */ - secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, recovery_test_nonce_function, NULL); + secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, privkey, recovery_test_nonce_function, NULL); CHECK(ecount == 4); /* These will all fail, but not in ARG_CHECK way */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, zero_privkey, NULL, NULL) == 0); - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, over_privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, zero_privkey, NULL, NULL) == 0); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, over_privkey, NULL, NULL) == 0); /* This one will succeed. */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, privkey, NULL, NULL) == 1); CHECK(ecount == 4); /* Check signing with a goofy nonce function */ /* Check bad contexts and NULLs for recovery */ ecount = 0; - CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1); + CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &recsig, message) == 1); CHECK(ecount == 0); - CHECK(secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0); + CHECK(secp256k1_ecdsa_recover(ctx, NULL, &recsig, message) == 0); CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0); + CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, NULL, message) == 0); CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0); + CHECK(secp256k1_ecdsa_recover(ctx, &recpubkey, &recsig, NULL) == 0); CHECK(ecount == 3); /* Check NULLs for conversion */ - CHECK(secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(ctx, &normal_sig, message, privkey, NULL, NULL) == 1); ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, NULL, &recsig) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, NULL, &recsig) == 0); CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, NULL) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &normal_sig, NULL) == 0); CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, &recsig) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &normal_sig, &recsig) == 1); /* Check NULLs for de/serialization */ - CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &recsig, message, privkey, NULL, NULL) == 1); ecount = 0; - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, NULL, &recid, &recsig) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, NULL, &recid, &recsig) == 0); CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, NULL, &recsig) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, NULL, &recsig) == 0); CHECK(ecount == 2); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, NULL) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, NULL) == 0); CHECK(ecount == 3); - CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, &recsig) == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &recsig) == 1); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, NULL, sig, recid) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, NULL, sig, recid) == 0); CHECK(ecount == 4); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, NULL, recid) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &recsig, NULL, recid) == 0); CHECK(ecount == 5); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, -1) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &recsig, sig, -1) == 0); CHECK(ecount == 6); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, 5) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &recsig, sig, 5) == 0); CHECK(ecount == 7); /* overflow in signature will fail but not affect ecount */ memcpy(sig, over_privkey, 32); - CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, recid) == 0); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &recsig, sig, recid) == 0); CHECK(ecount == 7); /* cleanup */ - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); secp256k1_context_destroy(sttc); } diff --git a/src/modules/schnorrsig/bench_impl.h b/src/modules/schnorrsig/bench_impl.h index 41f393c84d..f0b0d3de75 100644 --- a/src/modules/schnorrsig/bench_impl.h +++ b/src/modules/schnorrsig/bench_impl.h @@ -50,7 +50,7 @@ void run_schnorrsig_bench(int iters, int argc, char** argv) { bench_schnorrsig_data data; int d = argc == 1; - data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY | SECP256K1_CONTEXT_SIGN); + data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); data.keypairs = (const secp256k1_keypair **)malloc(iters * sizeof(secp256k1_keypair *)); data.pk = (const unsigned char **)malloc(iters * sizeof(unsigned char *)); data.msgs = (const unsigned char **)malloc(iters * sizeof(unsigned char *)); @@ -91,10 +91,12 @@ void run_schnorrsig_bench(int iters, int argc, char** argv) { free((void *)data.msgs[i]); free((void *)data.sigs[i]); } - free(data.keypairs); - free(data.pk); - free(data.msgs); - free(data.sigs); + + /* Casting to (void *) avoids a stupid warning in MSVC. */ + free((void *)data.keypairs); + free((void *)data.pk); + free((void *)data.msgs); + free((void *)data.sigs); secp256k1_context_destroy(data.ctx); } diff --git a/src/modules/schnorrsig/tests_exhaustive_impl.h b/src/modules/schnorrsig/tests_exhaustive_impl.h index d8df9dd2df..55f9028a63 100644 --- a/src/modules/schnorrsig/tests_exhaustive_impl.h +++ b/src/modules/schnorrsig/tests_exhaustive_impl.h @@ -8,7 +8,7 @@ #define SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H #include "../../../include/secp256k1_schnorrsig.h" -#include "src/modules/schnorrsig/main_impl.h" +#include "main_impl.h" static const unsigned char invalid_pubkey_bytes[][32] = { /* 0 */ diff --git a/src/modules/schnorrsig/tests_impl.h b/src/modules/schnorrsig/tests_impl.h index 25840b8fa7..06cc097cc1 100644 --- a/src/modules/schnorrsig/tests_impl.h +++ b/src/modules/schnorrsig/tests_impl.h @@ -128,22 +128,12 @@ void test_schnorrsig_api(void) { secp256k1_schnorrsig_extraparams invalid_extraparams = {{ 0 }, NULL, NULL}; /** setup **/ - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp); + secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_static); int ecount; - secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_error_callback(ctx, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount); secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount); secp256k1_testrand256(sk1); @@ -160,70 +150,54 @@ void test_schnorrsig_api(void) { /** main test body **/ ecount = 0; - CHECK(secp256k1_schnorrsig_sign32(none, sig, msg, &keypairs[0], NULL) == 1); + CHECK(secp256k1_schnorrsig_sign32(ctx, sig, msg, &keypairs[0], NULL) == 1); CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign32(vrfy, sig, msg, &keypairs[0], NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign32(sign, sig, msg, &keypairs[0], NULL) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign32(sign, NULL, msg, &keypairs[0], NULL) == 0); + CHECK(secp256k1_schnorrsig_sign32(ctx, NULL, msg, &keypairs[0], NULL) == 0); CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_sign32(sign, sig, NULL, &keypairs[0], NULL) == 0); + CHECK(secp256k1_schnorrsig_sign32(ctx, sig, NULL, &keypairs[0], NULL) == 0); CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_sign32(sign, sig, msg, NULL, NULL) == 0); + CHECK(secp256k1_schnorrsig_sign32(ctx, sig, msg, NULL, NULL) == 0); CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_sign32(sign, sig, msg, &invalid_keypair, NULL) == 0); + CHECK(secp256k1_schnorrsig_sign32(ctx, sig, msg, &invalid_keypair, NULL) == 0); CHECK(ecount == 4); CHECK(secp256k1_schnorrsig_sign32(sttc, sig, msg, &keypairs[0], NULL) == 0); CHECK(ecount == 5); ecount = 0; - CHECK(secp256k1_schnorrsig_sign_custom(none, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign_custom(vrfy, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_sign_custom(sign, NULL, msg, sizeof(msg), &keypairs[0], &extraparams) == 0); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, NULL, msg, sizeof(msg), &keypairs[0], &extraparams) == 0); CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, NULL, sizeof(msg), &keypairs[0], &extraparams) == 0); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, NULL, sizeof(msg), &keypairs[0], &extraparams) == 0); CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, NULL, 0, &keypairs[0], &extraparams) == 1); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, NULL, 0, &keypairs[0], &extraparams) == 1); CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), NULL, &extraparams) == 0); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), NULL, &extraparams) == 0); CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &invalid_keypair, &extraparams) == 0); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &invalid_keypair, &extraparams) == 0); CHECK(ecount == 4); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1); CHECK(ecount == 4); - CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams) == 0); + CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams) == 0); CHECK(ecount == 5); CHECK(secp256k1_schnorrsig_sign_custom(sttc, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 0); CHECK(ecount == 6); ecount = 0; - CHECK(secp256k1_schnorrsig_sign32(sign, sig, msg, &keypairs[0], NULL) == 1); - CHECK(secp256k1_schnorrsig_verify(none, sig, msg, sizeof(msg), &pk[0]) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_verify(sign, sig, msg, sizeof(msg), &pk[0]) == 1); - CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &pk[0]) == 1); + CHECK(secp256k1_schnorrsig_sign32(ctx, sig, msg, &keypairs[0], NULL) == 1); + CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &pk[0]) == 1); CHECK(ecount == 0); - CHECK(secp256k1_schnorrsig_verify(vrfy, NULL, msg, sizeof(msg), &pk[0]) == 0); + CHECK(secp256k1_schnorrsig_verify(ctx, NULL, msg, sizeof(msg), &pk[0]) == 0); CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, sizeof(msg), &pk[0]) == 0); + CHECK(secp256k1_schnorrsig_verify(ctx, sig, NULL, sizeof(msg), &pk[0]) == 0); CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, 0, &pk[0]) == 0); + CHECK(secp256k1_schnorrsig_verify(ctx, sig, NULL, 0, &pk[0]) == 0); CHECK(ecount == 2); - CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), NULL) == 0); + CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), NULL) == 0); CHECK(ecount == 3); - CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &zero_pk) == 0); + CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &zero_pk) == 0); CHECK(ecount == 4); - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); secp256k1_context_destroy(sttc); } diff --git a/src/precompute_ecmult.c b/src/precompute_ecmult.c index 5ccbcb3c57..2aa37b8fe3 100644 --- a/src/precompute_ecmult.c +++ b/src/precompute_ecmult.c @@ -14,10 +14,13 @@ #endif #include "../include/secp256k1.h" + #include "assumptions.h" #include "util.h" + #include "field_impl.h" #include "group_impl.h" +#include "int128_impl.h" #include "ecmult.h" #include "ecmult_compute_table_impl.h" diff --git a/src/precompute_ecmult_gen.c b/src/precompute_ecmult_gen.c index 7c6359c402..a4ec8e0dc6 100644 --- a/src/precompute_ecmult_gen.c +++ b/src/precompute_ecmult_gen.c @@ -8,9 +8,12 @@ #include #include "../include/secp256k1.h" + #include "assumptions.h" #include "util.h" + #include "group.h" +#include "int128_impl.h" #include "ecmult_gen.h" #include "ecmult_gen_compute_table_impl.h" diff --git a/src/scalar_4x64_impl.h b/src/scalar_4x64_impl.h index a1def26fca..4588219d3a 100644 --- a/src/scalar_4x64_impl.h +++ b/src/scalar_4x64_impl.h @@ -7,6 +7,7 @@ #ifndef SECP256K1_SCALAR_REPR_IMPL_H #define SECP256K1_SCALAR_REPR_IMPL_H +#include "int128.h" #include "modinv64_impl.h" /* Limbs of the secp256k1 order. */ @@ -69,50 +70,61 @@ SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scal } SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) { - uint128_t t; + secp256k1_uint128 t; VERIFY_CHECK(overflow <= 1); - t = (uint128_t)r->d[0] + overflow * SECP256K1_N_C_0; - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[1] + overflow * SECP256K1_N_C_1; - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[2] + overflow * SECP256K1_N_C_2; - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint64_t)r->d[3]; - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; + secp256k1_u128_from_u64(&t, r->d[0]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_0); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_1); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2]); + secp256k1_u128_accum_u64(&t, overflow * SECP256K1_N_C_2); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3]); + r->d[3] = secp256k1_u128_to_u64(&t); return overflow; } static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { int overflow; - uint128_t t = (uint128_t)a->d[0] + b->d[0]; - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[1] + b->d[1]; - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[2] + b->d[2]; - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)a->d[3] + b->d[3]; - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - overflow = t + secp256k1_scalar_check_overflow(r); + secp256k1_uint128 t; + secp256k1_u128_from_u64(&t, a->d[0]); + secp256k1_u128_accum_u64(&t, b->d[0]); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[1]); + secp256k1_u128_accum_u64(&t, b->d[1]); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[2]); + secp256k1_u128_accum_u64(&t, b->d[2]); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, a->d[3]); + secp256k1_u128_accum_u64(&t, b->d[3]); + r->d[3] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + overflow = secp256k1_u128_to_u64(&t) + secp256k1_scalar_check_overflow(r); VERIFY_CHECK(overflow == 0 || overflow == 1); secp256k1_scalar_reduce(r, overflow); return overflow; } static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { - uint128_t t; + secp256k1_uint128 t; VERIFY_CHECK(bit < 256); bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ - t = (uint128_t)r->d[0] + (((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); - r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[1] + (((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); - r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[2] + (((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F)); - r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; - t += (uint128_t)r->d[3] + (((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); - r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; + secp256k1_u128_from_u64(&t, r->d[0]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); + r->d[0] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); + r->d[1] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F)); + r->d[2] = secp256k1_u128_to_u64(&t); secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3]); + secp256k1_u128_accum_u64(&t, ((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); + r->d[3] = secp256k1_u128_to_u64(&t); #ifdef VERIFY - VERIFY_CHECK((t >> 64) == 0); - VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); + VERIFY_CHECK(secp256k1_u128_hi_u64(&t) == 0); #endif } @@ -141,14 +153,19 @@ SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0); - uint128_t t = (uint128_t)(~a->d[0]) + SECP256K1_N_0 + 1; - r->d[0] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[1]) + SECP256K1_N_1; - r->d[1] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[2]) + SECP256K1_N_2; - r->d[2] = t & nonzero; t >>= 64; - t += (uint128_t)(~a->d[3]) + SECP256K1_N_3; - r->d[3] = t & nonzero; + secp256k1_uint128 t; + secp256k1_u128_from_u64(&t, ~a->d[0]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_0 + 1); + r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[1]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_1); + r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[2]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_2); + r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, ~a->d[3]); + secp256k1_u128_accum_u64(&t, SECP256K1_N_3); + r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; } SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { @@ -172,14 +189,19 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { * if we are flag = 1, mask = 11...11 and this is identical to secp256k1_scalar_negate */ uint64_t mask = !flag - 1; uint64_t nonzero = (secp256k1_scalar_is_zero(r) != 0) - 1; - uint128_t t = (uint128_t)(r->d[0] ^ mask) + ((SECP256K1_N_0 + 1) & mask); - r->d[0] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[1] ^ mask) + (SECP256K1_N_1 & mask); - r->d[1] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[2] ^ mask) + (SECP256K1_N_2 & mask); - r->d[2] = t & nonzero; t >>= 64; - t += (uint128_t)(r->d[3] ^ mask) + (SECP256K1_N_3 & mask); - r->d[3] = t & nonzero; + secp256k1_uint128 t; + secp256k1_u128_from_u64(&t, r->d[0] ^ mask); + secp256k1_u128_accum_u64(&t, (SECP256K1_N_0 + 1) & mask); + r->d[0] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[1] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_1 & mask); + r->d[1] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[2] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_2 & mask); + r->d[2] = secp256k1_u128_to_u64(&t) & nonzero; secp256k1_u128_rshift(&t, 64); + secp256k1_u128_accum_u64(&t, r->d[3] ^ mask); + secp256k1_u128_accum_u64(&t, SECP256K1_N_3 & mask); + r->d[3] = secp256k1_u128_to_u64(&t) & nonzero; return 2 * (mask == 0) - 1; } @@ -189,9 +211,10 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { #define muladd(a,b) { \ uint64_t tl, th; \ { \ - uint128_t t = (uint128_t)a * b; \ - th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ - tl = t; \ + secp256k1_uint128 t; \ + secp256k1_u128_mul(&t, a, b); \ + th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = secp256k1_u128_to_u64(&t); \ } \ c0 += tl; /* overflow is handled on the next line */ \ th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ @@ -204,9 +227,10 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { #define muladd_fast(a,b) { \ uint64_t tl, th; \ { \ - uint128_t t = (uint128_t)a * b; \ - th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ - tl = t; \ + secp256k1_uint128 t; \ + secp256k1_u128_mul(&t, a, b); \ + th = secp256k1_u128_hi_u64(&t); /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = secp256k1_u128_to_u64(&t); \ } \ c0 += tl; /* overflow is handled on the next line */ \ th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ @@ -484,8 +508,8 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) : "g"(p0), "g"(p1), "g"(p2), "g"(p3), "g"(p4), "D"(r), "i"(SECP256K1_N_C_0), "i"(SECP256K1_N_C_1) : "rax", "rdx", "r8", "r9", "r10", "cc", "memory"); #else - uint128_t c; - uint64_t c0, c1, c2; + secp256k1_uint128 c128; + uint64_t c, c0, c1, c2; uint64_t n0 = l[4], n1 = l[5], n2 = l[6], n3 = l[7]; uint64_t m0, m1, m2, m3, m4, m5; uint32_t m6; @@ -542,14 +566,18 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) /* Reduce 258 bits into 256. */ /* r[0..3] = p[0..3] + p[4] * SECP256K1_N_C. */ - c = p0 + (uint128_t)SECP256K1_N_C_0 * p4; - r->d[0] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p1 + (uint128_t)SECP256K1_N_C_1 * p4; - r->d[1] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p2 + (uint128_t)p4; - r->d[2] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; - c += p3; - r->d[3] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + secp256k1_u128_from_u64(&c128, p0); + secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_0, p4); + r->d[0] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p1); + secp256k1_u128_accum_mul(&c128, SECP256K1_N_C_1, p4); + r->d[1] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p2); + secp256k1_u128_accum_u64(&c128, p4); + r->d[2] = secp256k1_u128_to_u64(&c128); secp256k1_u128_rshift(&c128, 64); + secp256k1_u128_accum_u64(&c128, p3); + r->d[3] = secp256k1_u128_to_u64(&c128); + c = secp256k1_u128_hi_u64(&c128); #endif /* Final reduction of r. */ diff --git a/src/scratch_impl.h b/src/scratch_impl.h index 688e18eb66..f71a20b963 100644 --- a/src/scratch_impl.h +++ b/src/scratch_impl.h @@ -25,11 +25,11 @@ static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* err static void secp256k1_scratch_destroy(const secp256k1_callback* error_callback, secp256k1_scratch* scratch) { if (scratch != NULL) { - VERIFY_CHECK(scratch->alloc_size == 0); /* all checkpoints should be applied */ if (secp256k1_memcmp_var(scratch->magic, "scratch", 8) != 0) { secp256k1_callback_call(error_callback, "invalid scratch space"); return; } + VERIFY_CHECK(scratch->alloc_size == 0); /* all checkpoints should be applied */ memset(scratch->magic, 0, sizeof(scratch->magic)); free(scratch); } diff --git a/src/secp256k1.c b/src/secp256k1.c index 8f34c35283..6ece3f140d 100644 --- a/src/secp256k1.c +++ b/src/secp256k1.c @@ -4,6 +4,17 @@ * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ +/* This is a C project. It should not be compiled with a C++ compiler, + * and we error out if we detect one. + * + * We still want to be able to test the project with a C++ compiler + * because it is still good to know if this will lead to real trouble, so + * there is a possibility to override the check. But be warned that + * compiling with a C++ compiler is not supported. */ +#if defined(__cplusplus) && !defined(SECP256K1_CPLUSPLUS_TEST_OVERRIDE) +#error Trying to compile a C project with a C++ compiler. +#endif + #define SECP256K1_BUILD #include "../include/secp256k1.h" @@ -11,6 +22,7 @@ #include "assumptions.h" #include "util.h" + #include "field_impl.h" #include "scalar_impl.h" #include "group_impl.h" @@ -20,6 +32,7 @@ #include "ecdsa_impl.h" #include "eckey_impl.h" #include "hash_impl.h" +#include "int128_impl.h" #include "scratch_impl.h" #include "selftest.h" @@ -44,6 +57,8 @@ } \ } while(0) +/* Note that whenever you change the context struct, you must also change the + * context_eq function. */ struct secp256k1_context_struct { secp256k1_ecmult_gen_context ecmult_gen_ctx; secp256k1_callback illegal_callback; @@ -51,13 +66,20 @@ struct secp256k1_context_struct { int declassify; }; -static const secp256k1_context secp256k1_context_no_precomp_ = { +static const secp256k1_context secp256k1_context_static_ = { { 0 }, { secp256k1_default_illegal_callback_fn, 0 }, { secp256k1_default_error_callback_fn, 0 }, 0 }; -const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_no_precomp_; +const secp256k1_context *secp256k1_context_static = &secp256k1_context_static_; +const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_static_; + +void secp256k1_selftest(void) { + if (!secp256k1_selftest_passes()) { + secp256k1_callback_call(&default_error_callback, "self test failed"); + } +} size_t secp256k1_context_preallocated_size(unsigned int flags) { size_t ret = sizeof(secp256k1_context); @@ -83,9 +105,7 @@ secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigne size_t prealloc_size; secp256k1_context* ret; - if (!secp256k1_selftest()) { - secp256k1_callback_call(&default_error_callback, "self test failed"); - } + secp256k1_selftest(); prealloc_size = secp256k1_context_preallocated_size(flags); if (prealloc_size == 0) { @@ -137,7 +157,7 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) { } void secp256k1_context_preallocated_destroy(secp256k1_context* ctx) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); + ARG_CHECK_NO_RETURN(ctx != secp256k1_context_static); if (ctx != NULL) { secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); } @@ -151,7 +171,7 @@ void secp256k1_context_destroy(secp256k1_context* ctx) { } void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); + ARG_CHECK_NO_RETURN(ctx != secp256k1_context_static); if (fun == NULL) { fun = secp256k1_default_illegal_callback_fn; } @@ -160,7 +180,7 @@ void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)( } void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) { - ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); + ARG_CHECK_NO_RETURN(ctx != secp256k1_context_static); if (fun == NULL) { fun = secp256k1_default_error_callback_fn; } @@ -765,3 +785,7 @@ int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, #ifdef ENABLE_MODULE_SCHNORRSIG # include "modules/schnorrsig/main_impl.h" #endif + +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/main_impl.h" +#endif diff --git a/src/selftest.h b/src/selftest.h index 52f1b8442e..d083ac9524 100644 --- a/src/selftest.h +++ b/src/selftest.h @@ -25,7 +25,7 @@ static int secp256k1_selftest_sha256(void) { return secp256k1_memcmp_var(out, output32, 32) == 0; } -static int secp256k1_selftest(void) { +static int secp256k1_selftest_passes(void) { return secp256k1_selftest_sha256(); } diff --git a/src/tests.c b/src/tests.c index dd53173930..b5668b595d 100644 --- a/src/tests.c +++ b/src/tests.c @@ -26,6 +26,7 @@ #include "modinv32_impl.h" #ifdef SECP256K1_WIDEMUL_INT128 #include "modinv64_impl.h" +#include "int128_impl.h" #endif #define CONDITIONAL_TEST(cnt, nam) if (count < (cnt)) { printf("Skipping %s (iteration count too low)\n", nam); } else @@ -140,6 +141,43 @@ void random_scalar_order_b32(unsigned char *b32) { secp256k1_scalar_get_b32(b32, &num); } +void run_selftest_tests(void) { + /* Test public API */ + secp256k1_selftest(); +} + +int ecmult_gen_context_eq(const secp256k1_ecmult_gen_context *a, const secp256k1_ecmult_gen_context *b) { + return a->built == b->built + && secp256k1_scalar_eq(&a->blind, &b->blind) + && secp256k1_gej_eq_var(&a->initial, &b->initial); +} + +int context_eq(const secp256k1_context *a, const secp256k1_context *b) { + return a->declassify == b->declassify + && ecmult_gen_context_eq(&a->ecmult_gen_ctx, &b->ecmult_gen_ctx) + && a->illegal_callback.fn == b->illegal_callback.fn + && a->illegal_callback.data == b->illegal_callback. +data + && a->error_callback.fn == b->error_callback.fn + && a->error_callback.data == b->error_callback.data; +} + +void test_deprecated_flags(void) { + unsigned int flags[] = { SECP256K1_CONTEXT_SIGN, + SECP256K1_CONTEXT_VERIFY, + SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY }; + int i; + /* Check that a context created with any of the flags in the flags array is + * identical to the NONE context. */ + for (i = 0; i < (int)(sizeof(flags)/sizeof(flags[0])); i++) { + secp256k1_context *tmp_ctx; + CHECK(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE) == secp256k1_context_preallocated_size(flags[i])); + tmp_ctx = secp256k1_context_create(flags[i]); + CHECK(context_eq(ctx, tmp_ctx)); + secp256k1_context_destroy(tmp_ctx); + } +} + void run_context_tests(int use_prealloc) { secp256k1_pubkey pubkey; secp256k1_pubkey zero_pubkey; @@ -147,15 +185,8 @@ void run_context_tests(int use_prealloc) { unsigned char ctmp[32]; int32_t ecount; int32_t ecount2; - secp256k1_context *none; - secp256k1_context *sign; - secp256k1_context *vrfy; - secp256k1_context *both; secp256k1_context *sttc; - void *none_prealloc = NULL; - void *sign_prealloc = NULL; - void *vrfy_prealloc = NULL; - void *both_prealloc = NULL; + void *ctx_prealloc = NULL; void *sttc_prealloc = NULL; secp256k1_gej pubj; @@ -163,46 +194,36 @@ void run_context_tests(int use_prealloc) { secp256k1_scalar msg, key, nonce; secp256k1_scalar sigr, sigs; + /* Check that deprecated secp256k1_context_no_precomp is an alias to secp256k1_context_static. */ + CHECK(secp256k1_context_no_precomp == secp256k1_context_static); + if (use_prealloc) { - none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); - sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); - vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); - both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); - sttc_prealloc = malloc(secp256k1_context_preallocated_clone_size(secp256k1_context_no_precomp)); - CHECK(none_prealloc != NULL); - CHECK(sign_prealloc != NULL); - CHECK(vrfy_prealloc != NULL); - CHECK(both_prealloc != NULL); + ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); + CHECK(ctx_prealloc != NULL); + ctx = secp256k1_context_preallocated_create(ctx_prealloc, SECP256K1_CONTEXT_NONE); + sttc_prealloc = malloc(secp256k1_context_preallocated_clone_size(secp256k1_context_static)); CHECK(sttc_prealloc != NULL); - none = secp256k1_context_preallocated_create(none_prealloc, SECP256K1_CONTEXT_NONE); - sign = secp256k1_context_preallocated_create(sign_prealloc, SECP256K1_CONTEXT_SIGN); - vrfy = secp256k1_context_preallocated_create(vrfy_prealloc, SECP256K1_CONTEXT_VERIFY); - both = secp256k1_context_preallocated_create(both_prealloc, SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - sttc = secp256k1_context_preallocated_clone(secp256k1_context_no_precomp, sttc_prealloc); + sttc = secp256k1_context_preallocated_clone(secp256k1_context_static, sttc_prealloc); } else { - none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); - sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); - vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY); - both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - sttc = secp256k1_context_clone(secp256k1_context_no_precomp); + sttc = secp256k1_context_clone(secp256k1_context_static); + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); } + test_deprecated_flags(); + memset(&zero_pubkey, 0, sizeof(zero_pubkey)); ecount = 0; ecount2 = 10; secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount2); /* set error callback (to a function that still aborts in case malloc() fails in secp256k1_context_clone() below) */ - secp256k1_context_set_error_callback(sign, secp256k1_default_illegal_callback_fn, NULL); - CHECK(sign->error_callback.fn != vrfy->error_callback.fn); - CHECK(sign->error_callback.fn == secp256k1_default_illegal_callback_fn); + secp256k1_context_set_error_callback(ctx, secp256k1_default_illegal_callback_fn, NULL); + CHECK(ctx->error_callback.fn != sttc->error_callback.fn); + CHECK(ctx->error_callback.fn == secp256k1_default_illegal_callback_fn); /* check if sizes for cloning are consistent */ - CHECK(secp256k1_context_preallocated_clone_size(none) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); - CHECK(secp256k1_context_preallocated_clone_size(sign) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); - CHECK(secp256k1_context_preallocated_clone_size(vrfy) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); - CHECK(secp256k1_context_preallocated_clone_size(both) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); + CHECK(secp256k1_context_preallocated_clone_size(ctx) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(secp256k1_context_preallocated_clone_size(sttc) >= sizeof(secp256k1_context)); /*** clone and destroy all of them to make sure cloning was complete ***/ @@ -211,58 +232,31 @@ void run_context_tests(int use_prealloc) { if (use_prealloc) { /* clone into a non-preallocated context and then again into a new preallocated one. */ - ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp); - free(none_prealloc); none_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(none_prealloc != NULL); - ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, none_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp); - free(sign_prealloc); sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(sign_prealloc != NULL); - ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, sign_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp); - free(vrfy_prealloc); vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(vrfy_prealloc != NULL); - ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, vrfy_prealloc); secp256k1_context_destroy(ctx_tmp); - - ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp); - free(both_prealloc); both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(both_prealloc != NULL); - ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, both_prealloc); secp256k1_context_destroy(ctx_tmp); + ctx_tmp = ctx; ctx = secp256k1_context_clone(ctx); secp256k1_context_preallocated_destroy(ctx_tmp); + free(ctx_prealloc); ctx_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(ctx_prealloc != NULL); + ctx_tmp = ctx; ctx = secp256k1_context_preallocated_clone(ctx, ctx_prealloc); secp256k1_context_destroy(ctx_tmp); } else { /* clone into a preallocated context and then again into a new non-preallocated one. */ void *prealloc_tmp; prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_NONE)); CHECK(prealloc_tmp != NULL); - ctx_tmp = none; none = secp256k1_context_preallocated_clone(none, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = none; none = secp256k1_context_clone(none); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN)); CHECK(prealloc_tmp != NULL); - ctx_tmp = sign; sign = secp256k1_context_preallocated_clone(sign, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = sign; sign = secp256k1_context_clone(sign); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL); - ctx_tmp = vrfy; vrfy = secp256k1_context_preallocated_clone(vrfy, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = vrfy; vrfy = secp256k1_context_clone(vrfy); secp256k1_context_preallocated_destroy(ctx_tmp); - free(prealloc_tmp); - - prealloc_tmp = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY)); CHECK(prealloc_tmp != NULL); - ctx_tmp = both; both = secp256k1_context_preallocated_clone(both, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); - ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_preallocated_destroy(ctx_tmp); + ctx_tmp = ctx; ctx = secp256k1_context_preallocated_clone(ctx, prealloc_tmp); secp256k1_context_destroy(ctx_tmp); + ctx_tmp = ctx; ctx = secp256k1_context_clone(ctx); secp256k1_context_preallocated_destroy(ctx_tmp); free(prealloc_tmp); } } /* Verify that the error callback makes it across the clone. */ - CHECK(sign->error_callback.fn != vrfy->error_callback.fn); - CHECK(sign->error_callback.fn == secp256k1_default_illegal_callback_fn); + CHECK(ctx->error_callback.fn != sttc->error_callback.fn); + CHECK(ctx->error_callback.fn == secp256k1_default_illegal_callback_fn); /* And that it resets back to default. */ - secp256k1_context_set_error_callback(sign, NULL, NULL); - CHECK(vrfy->error_callback.fn == sign->error_callback.fn); + secp256k1_context_set_error_callback(ctx, NULL, NULL); + CHECK(ctx->error_callback.fn == sttc->error_callback.fn); /*** attempt to use them ***/ random_scalar_order_test(&msg); random_scalar_order_test(&key); - secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key); + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); /* Verify context-type checking illegal-argument errors. */ @@ -270,29 +264,29 @@ void run_context_tests(int use_prealloc) { CHECK(secp256k1_ec_pubkey_create(sttc, &pubkey, ctmp) == 0); CHECK(ecount == 1); VG_UNDEF(&pubkey, sizeof(pubkey)); - CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); VG_CHECK(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ecdsa_sign(sttc, &sig, ctmp, ctmp, NULL, NULL) == 0); CHECK(ecount == 2); VG_UNDEF(&sig, sizeof(sig)); - CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(ctx, &sig, ctmp, ctmp, NULL, NULL) == 1); VG_CHECK(&sig, sizeof(sig)); CHECK(ecount2 == 10); - CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, ctmp, &pubkey) == 1); CHECK(ecount2 == 10); CHECK(secp256k1_ecdsa_verify(sttc, &sig, ctmp, &pubkey) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp) == 1); CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_tweak_add(sttc, &pubkey, ctmp) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 1); + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, ctmp) == 1); CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_negate(sttc, &pubkey) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1); + CHECK(secp256k1_ec_pubkey_negate(ctx, &pubkey) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0); + CHECK(secp256k1_ec_pubkey_negate(ctx, NULL) == 0); CHECK(ecount2 == 11); CHECK(secp256k1_ec_pubkey_negate(sttc, &zero_pubkey) == 0); CHECK(ecount == 3); @@ -302,49 +296,37 @@ void run_context_tests(int use_prealloc) { CHECK(ecount == 3); CHECK(secp256k1_context_randomize(sttc, NULL) == 1); CHECK(ecount == 3); - CHECK(secp256k1_context_randomize(sign, ctmp) == 1); + CHECK(secp256k1_context_randomize(ctx, ctmp) == 1); CHECK(ecount2 == 11); - CHECK(secp256k1_context_randomize(sign, NULL) == 1); + CHECK(secp256k1_context_randomize(ctx, NULL) == 1); CHECK(ecount2 == 11); secp256k1_context_set_illegal_callback(sttc, NULL, NULL); - secp256k1_context_set_illegal_callback(sign, NULL, NULL); + secp256k1_context_set_illegal_callback(ctx, NULL, NULL); /* obtain a working nonce */ do { random_scalar_order_test(&nonce); - } while(!secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); + } while(!secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try signing */ - CHECK(secp256k1_ecdsa_sig_sign(&sign->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); - CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); + CHECK(secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try verifying */ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); - CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); /* cleanup */ if (use_prealloc) { - secp256k1_context_preallocated_destroy(none); - secp256k1_context_preallocated_destroy(sign); - secp256k1_context_preallocated_destroy(vrfy); - secp256k1_context_preallocated_destroy(both); + secp256k1_context_preallocated_destroy(ctx); secp256k1_context_preallocated_destroy(sttc); - free(none_prealloc); - free(sign_prealloc); - free(vrfy_prealloc); - free(both_prealloc); + free(ctx_prealloc); free(sttc_prealloc); } else { - secp256k1_context_destroy(none); - secp256k1_context_destroy(sign); - secp256k1_context_destroy(vrfy); - secp256k1_context_destroy(both); + secp256k1_context_destroy(ctx); secp256k1_context_destroy(sttc); } /* Defined as no-op. */ secp256k1_context_destroy(NULL); secp256k1_context_preallocated_destroy(NULL); - } void run_scratch_tests(void) { @@ -353,83 +335,85 @@ void run_scratch_tests(void) { int32_t ecount = 0; size_t checkpoint; size_t checkpoint_2; - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); secp256k1_scratch_space *scratch; secp256k1_scratch_space local_scratch; + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + /* Test public API */ - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); - secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_error_callback(ctx, counting_illegal_callback_fn, &ecount); - scratch = secp256k1_scratch_space_create(none, 1000); + scratch = secp256k1_scratch_space_create(ctx, 1000); CHECK(scratch != NULL); CHECK(ecount == 0); /* Test internal API */ - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1)); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 0) == 1000); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 1) == 1000 - (ALIGNMENT - 1)); CHECK(scratch->alloc_size == 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); /* Allocating 500 bytes succeeds */ - checkpoint = secp256k1_scratch_checkpoint(&none->error_callback, scratch); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); + checkpoint = secp256k1_scratch_checkpoint(&ctx->error_callback, scratch); + CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, 500) != NULL); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 0) == 1000 - adj_alloc); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); CHECK(scratch->alloc_size != 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); /* Allocating another 501 bytes fails */ - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 501) == NULL); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000 - adj_alloc); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); + CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, 501) == NULL); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 0) == 1000 - adj_alloc); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 1) == 1000 - adj_alloc - (ALIGNMENT - 1)); CHECK(scratch->alloc_size != 0); CHECK(scratch->alloc_size % ALIGNMENT == 0); /* ...but it succeeds once we apply the checkpoint to undo it */ - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint); + secp256k1_scratch_apply_checkpoint(&ctx->error_callback, scratch, checkpoint); CHECK(scratch->alloc_size == 0); - CHECK(secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0) == 1000); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) != NULL); + CHECK(secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 0) == 1000); + CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, 500) != NULL); CHECK(scratch->alloc_size != 0); /* try to apply a bad checkpoint */ - checkpoint_2 = secp256k1_scratch_checkpoint(&none->error_callback, scratch); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint); + checkpoint_2 = secp256k1_scratch_checkpoint(&ctx->error_callback, scratch); + secp256k1_scratch_apply_checkpoint(&ctx->error_callback, scratch, checkpoint); CHECK(ecount == 0); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, checkpoint_2); /* checkpoint_2 is after checkpoint */ + secp256k1_scratch_apply_checkpoint(&ctx->error_callback, scratch, checkpoint_2); /* checkpoint_2 is after checkpoint */ CHECK(ecount == 1); - secp256k1_scratch_apply_checkpoint(&none->error_callback, scratch, (size_t) -1); /* this is just wildly invalid */ + secp256k1_scratch_apply_checkpoint(&ctx->error_callback, scratch, (size_t) -1); /* this is just wildly invalid */ CHECK(ecount == 2); /* try to use badly initialized scratch space */ - secp256k1_scratch_space_destroy(none, scratch); + secp256k1_scratch_space_destroy(ctx, scratch); memset(&local_scratch, 0, sizeof(local_scratch)); scratch = &local_scratch; - CHECK(!secp256k1_scratch_max_allocation(&none->error_callback, scratch, 0)); + CHECK(!secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, 0)); CHECK(ecount == 3); - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, 500) == NULL); + CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, 500) == NULL); CHECK(ecount == 4); - secp256k1_scratch_space_destroy(none, scratch); + secp256k1_scratch_space_destroy(ctx, scratch); CHECK(ecount == 5); /* Test that large integers do not wrap around in a bad way */ - scratch = secp256k1_scratch_space_create(none, 1000); + scratch = secp256k1_scratch_space_create(ctx, 1000); /* Try max allocation with a large number of objects. Only makes sense if * ALIGNMENT is greater than 1 because otherwise the objects take no extra * space. */ - CHECK(ALIGNMENT <= 1 || !secp256k1_scratch_max_allocation(&none->error_callback, scratch, (SIZE_MAX / (ALIGNMENT - 1)) + 1)); + CHECK(ALIGNMENT <= 1 || !secp256k1_scratch_max_allocation(&ctx->error_callback, scratch, (SIZE_MAX / (ALIGNMENT - 1)) + 1)); /* Try allocating SIZE_MAX to test wrap around which only happens if * ALIGNMENT > 1, otherwise it returns NULL anyway because the scratch * space is too small. */ - CHECK(secp256k1_scratch_alloc(&none->error_callback, scratch, SIZE_MAX) == NULL); - secp256k1_scratch_space_destroy(none, scratch); + CHECK(secp256k1_scratch_alloc(&ctx->error_callback, scratch, SIZE_MAX) == NULL); + secp256k1_scratch_space_destroy(ctx, scratch); /* cleanup */ - secp256k1_scratch_space_destroy(none, NULL); /* no-op */ - secp256k1_context_destroy(none); + secp256k1_scratch_space_destroy(ctx, NULL); /* no-op */ + secp256k1_context_destroy(ctx); } + void run_ctz_tests(void) { static const uint32_t b32[] = {1, 0xffffffff, 0x5e56968f, 0xe0d63129}; static const uint64_t b64[] = {1, 0xffffffffffffffff, 0xbcd02462139b3fc3, 0x98b5f80c769693ef}; @@ -697,7 +681,6 @@ void run_rfc6979_hmac_sha256_tests(void) { void run_tagged_sha256_tests(void) { int ecount = 0; - secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE); unsigned char tag[32] = { 0 }; unsigned char msg[32] = { 0 }; unsigned char hash32[32]; @@ -708,23 +691,22 @@ void run_tagged_sha256_tests(void) { 0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3 }; - secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); /* API test */ - CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1); - CHECK(secp256k1_tagged_sha256(none, NULL, tag, sizeof(tag), msg, sizeof(msg)) == 0); + CHECK(secp256k1_tagged_sha256(ctx, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1); + CHECK(secp256k1_tagged_sha256(ctx, NULL, tag, sizeof(tag), msg, sizeof(msg)) == 0); CHECK(ecount == 1); - CHECK(secp256k1_tagged_sha256(none, hash32, NULL, 0, msg, sizeof(msg)) == 0); + CHECK(secp256k1_tagged_sha256(ctx, hash32, NULL, 0, msg, sizeof(msg)) == 0); CHECK(ecount == 2); - CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), NULL, 0) == 0); + CHECK(secp256k1_tagged_sha256(ctx, hash32, tag, sizeof(tag), NULL, 0) == 0); CHECK(ecount == 3); /* Static test vector */ memcpy(tag, "tag", 3); memcpy(msg, "msg", 3); - CHECK(secp256k1_tagged_sha256(none, hash32, tag, 3, msg, 3) == 1); + CHECK(secp256k1_tagged_sha256(ctx, hash32, tag, 3, msg, 3) == 1); CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0); - secp256k1_context_destroy(none); } /***** RANDOM TESTS *****/ @@ -814,7 +796,8 @@ uint64_t modinv2p64(uint64_t x) { return w; } -/* compute out = (a*b) mod m; if b=NULL, treat b=1. + +/* compute out = (a*b) mod m; if b=NULL, treat b=1; if m=NULL, treat m=infinity. * * Out is a 512-bit number (represented as 32 uint16_t's in LE order). The other * arguments are 256-bit numbers (represented as 16 uint16_t's in LE order). */ @@ -856,46 +839,48 @@ void mulmod256(uint16_t* out, const uint16_t* a, const uint16_t* b, const uint16 } } - /* Compute the highest set bit in m. */ - for (i = 255; i >= 0; --i) { - if ((m[i >> 4] >> (i & 15)) & 1) { - m_bitlen = i; - break; + if (m) { + /* Compute the highest set bit in m. */ + for (i = 255; i >= 0; --i) { + if ((m[i >> 4] >> (i & 15)) & 1) { + m_bitlen = i; + break; + } } - } - /* Try do mul -= m<= 0; --i) { - uint16_t mul2[32]; - int64_t cs; - - /* Compute mul2 = mul - m<= 0 && bitpos < 256) { - sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p; + /* Try do mul -= m<= 0; --i) { + uint16_t mul2[32]; + int64_t cs; + + /* Compute mul2 = mul - m<= 0 && bitpos < 256) { + sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p; + } } + /* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */ + cs += mul[j]; + cs -= sub; + mul2[j] = (cs & 0xFFFF); + cs >>= 16; + } + /* If remainder of subtraction is 0, set mul = mul2. */ + if (cs == 0) { + memcpy(mul, mul2, sizeof(mul)); } - /* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */ - cs += mul[j]; - cs -= sub; - mul2[j] = (cs & 0xFFFF); - cs >>= 16; } - /* If remainder of subtraction is 0, set mul = mul2. */ - if (cs == 0) { - memcpy(mul, mul2, sizeof(mul)); + /* Sanity check: test that all limbs higher than m's highest are zero */ + for (i = (m_bitlen >> 4) + 1; i < 32; ++i) { + CHECK(mul[i] == 0); } } - /* Sanity check: test that all limbs higher than m's highest are zero */ - for (i = (m_bitlen >> 4) + 1; i < 32; ++i) { - CHECK(mul[i] == 0); - } memcpy(out, mul, 32); } @@ -942,12 +927,32 @@ void test_modinv32_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod uint16_to_signed30(&x, in); nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4] | x.v[5] | x.v[6] | x.v[7] | x.v[8]) != 0; uint16_to_signed30(&m.modulus, mod); - mutate_sign_signed30(&m.modulus); /* compute 1/modulus mod 2^30 */ m.modulus_inv30 = modinv2p64(m.modulus.v[0]) & 0x3fffffff; CHECK(((m.modulus_inv30 * m.modulus.v[0]) & 0x3fffffff) == 1); + /* Test secp256k1_jacobi32_maybe_var. */ + { + int jac; + uint16_t sqr[16], negone[16]; + mulmod256(sqr, in, in, mod); + uint16_to_signed30(&x, sqr); + /* Compute jacobi symbol of in^2, which must be 0 or 1 (or uncomputable). */ + jac = secp256k1_jacobi32_maybe_var(&x, &m); + CHECK(jac == -2 || jac == nonzero); + /* Then compute the jacobi symbol of -(in^2). x and -x have opposite + * jacobi symbols if and only if (mod % 4) == 3. */ + negone[0] = mod[0] - 1; + for (i = 1; i < 16; ++i) negone[i] = mod[i]; + mulmod256(sqr, sqr, negone, mod); + uint16_to_signed30(&x, sqr); + jac = secp256k1_jacobi32_maybe_var(&x, &m); + CHECK(jac == -2 || jac == (1 - (mod[0] & 2)) * nonzero); + } + + uint16_to_signed30(&x, in); + mutate_sign_signed30(&m.modulus); for (vartime = 0; vartime < 2; ++vartime) { /* compute inverse */ (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m); @@ -1015,12 +1020,32 @@ void test_modinv64_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod uint16_to_signed62(&x, in); nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4]) != 0; uint16_to_signed62(&m.modulus, mod); - mutate_sign_signed62(&m.modulus); /* compute 1/modulus mod 2^62 */ m.modulus_inv62 = modinv2p64(m.modulus.v[0]) & M62; CHECK(((m.modulus_inv62 * m.modulus.v[0]) & M62) == 1); + /* Test secp256k1_jacobi64_maybe_var. */ + { + int jac; + uint16_t sqr[16], negone[16]; + mulmod256(sqr, in, in, mod); + uint16_to_signed62(&x, sqr); + /* Compute jacobi symbol of in^2, which must be 0 or 1 (or uncomputable). */ + jac = secp256k1_jacobi64_maybe_var(&x, &m); + CHECK(jac == -2 || jac == nonzero); + /* Then compute the jacobi symbol of -(in^2). x and -x have opposite + * jacobi symbols if and only if (mod % 4) == 3. */ + negone[0] = mod[0] - 1; + for (i = 1; i < 16; ++i) negone[i] = mod[i]; + mulmod256(sqr, sqr, negone, mod); + uint16_to_signed62(&x, sqr); + jac = secp256k1_jacobi64_maybe_var(&x, &m); + CHECK(jac == -2 || jac == (1 - (mod[0] & 2)) * nonzero); + } + + uint16_to_signed62(&x, in); + mutate_sign_signed62(&m.modulus); for (vartime = 0; vartime < 2; ++vartime) { /* compute inverse */ (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m); @@ -1710,8 +1735,331 @@ void run_modinv_tests(void) { } } -/***** SCALAR TESTS *****/ +/***** INT128 TESTS *****/ + +#ifdef SECP256K1_WIDEMUL_INT128 +/* Add two 256-bit numbers (represented as 16 uint16_t's in LE order) together mod 2^256. */ +void add256(uint16_t* out, const uint16_t* a, const uint16_t* b) { + int i; + uint32_t carry = 0; + for (i = 0; i < 16; ++i) { + carry += a[i]; + carry += b[i]; + out[i] = carry; + carry >>= 16; + } +} + +/* Negate a 256-bit number (represented as 16 uint16_t's in LE order) mod 2^256. */ +void neg256(uint16_t* out, const uint16_t* a) { + int i; + uint32_t carry = 1; + for (i = 0; i < 16; ++i) { + carry += (uint16_t)~a[i]; + out[i] = carry; + carry >>= 16; + } +} + +/* Right-shift a 256-bit number (represented as 16 uint16_t's in LE order). */ +void rshift256(uint16_t* out, const uint16_t* a, int n, int sign_extend) { + uint16_t sign = sign_extend && (a[15] >> 15); + int i, j; + for (i = 15; i >= 0; --i) { + uint16_t v = 0; + for (j = 0; j < 16; ++j) { + int frompos = i*16 + j + n; + if (frompos >= 256) { + v |= sign << j; + } else { + v |= ((uint16_t)((a[frompos >> 4] >> (frompos & 15)) & 1)) << j; + } + } + out[i] = v; + } +} +/* Load a 64-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */ +void load256u64(uint16_t* out, uint64_t v, int is_signed) { + int i; + uint64_t sign = is_signed && (v >> 63) ? UINT64_MAX : 0; + for (i = 0; i < 4; ++i) { + out[i] = v >> (16 * i); + } + for (i = 4; i < 16; ++i) { + out[i] = sign; + } +} + +/* Load a 128-bit unsigned integer into an array of 16 uint16_t's in LE order representing a 256-bit value. */ +void load256two64(uint16_t* out, uint64_t hi, uint64_t lo, int is_signed) { + int i; + uint64_t sign = is_signed && (hi >> 63) ? UINT64_MAX : 0; + for (i = 0; i < 4; ++i) { + out[i] = lo >> (16 * i); + } + for (i = 4; i < 8; ++i) { + out[i] = hi >> (16 * (i - 4)); + } + for (i = 8; i < 16; ++i) { + out[i] = sign; + } +} + +/* Check whether the 256-bit value represented by array of 16-bit values is in range -2^127 < v < 2^127. */ +int int256is127(const uint16_t* v) { + int all_0 = ((v[7] & 0x8000) == 0), all_1 = ((v[7] & 0x8000) == 0x8000); + int i; + for (i = 8; i < 16; ++i) { + if (v[i] != 0) all_0 = 0; + if (v[i] != 0xffff) all_1 = 0; + } + return all_0 || all_1; +} + +void load256u128(uint16_t* out, const secp256k1_uint128* v) { + uint64_t lo = secp256k1_u128_to_u64(v), hi = secp256k1_u128_hi_u64(v); + load256two64(out, hi, lo, 0); +} + +void load256i128(uint16_t* out, const secp256k1_int128* v) { + uint64_t lo; + int64_t hi; + secp256k1_int128 c = *v; + lo = secp256k1_i128_to_i64(&c); + secp256k1_i128_rshift(&c, 64); + hi = secp256k1_i128_to_i64(&c); + load256two64(out, hi, lo, 1); +} + +void run_int128_test_case(void) { + unsigned char buf[32]; + uint64_t v[4]; + secp256k1_int128 swa, swz; + secp256k1_uint128 uwa, uwz; + uint64_t ub, uc; + int64_t sb, sc; + uint16_t rswa[16], rswz[32], rswr[32], ruwa[16], ruwz[32], ruwr[32]; + uint16_t rub[16], ruc[16], rsb[16], rsc[16]; + int i; + + /* Generate 32-byte random value. */ + secp256k1_testrand256_test(buf); + /* Convert into 4 64-bit integers. */ + for (i = 0; i < 4; ++i) { + uint64_t vi = 0; + int j; + for (j = 0; j < 8; ++j) vi = (vi << 8) + buf[8*i + j]; + v[i] = vi; + } + /* Convert those into a 128-bit value and two 64-bit values (signed and unsigned). */ + secp256k1_u128_load(&uwa, v[1], v[0]); + secp256k1_i128_load(&swa, v[1], v[0]); + ub = v[2]; + sb = v[2]; + uc = v[3]; + sc = v[3]; + /* Load those also into 16-bit array representations. */ + load256u128(ruwa, &uwa); + load256i128(rswa, &swa); + load256u64(rub, ub, 0); + load256u64(rsb, sb, 1); + load256u64(ruc, uc, 0); + load256u64(rsc, sc, 1); + /* test secp256k1_u128_mul */ + mulmod256(ruwr, rub, ruc, NULL); + secp256k1_u128_mul(&uwz, ub, uc); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_accum_mul */ + mulmod256(ruwr, rub, ruc, NULL); + add256(ruwr, ruwr, ruwa); + uwz = uwa; + secp256k1_u128_accum_mul(&uwz, ub, uc); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_accum_u64 */ + add256(ruwr, rub, ruwa); + uwz = uwa; + secp256k1_u128_accum_u64(&uwz, ub); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_rshift */ + rshift256(ruwr, ruwa, uc % 128, 0); + uwz = uwa; + secp256k1_u128_rshift(&uwz, uc % 128); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(ruwr, ruwz, 16) == 0); + /* test secp256k1_u128_to_u64 */ + CHECK(secp256k1_u128_to_u64(&uwa) == v[0]); + /* test secp256k1_u128_hi_u64 */ + CHECK(secp256k1_u128_hi_u64(&uwa) == v[1]); + /* test secp256k1_u128_from_u64 */ + secp256k1_u128_from_u64(&uwz, ub); + load256u128(ruwz, &uwz); + CHECK(secp256k1_memcmp_var(rub, ruwz, 16) == 0); + /* test secp256k1_u128_check_bits */ + { + int uwa_bits = 0; + int j; + for (j = 0; j < 128; ++j) { + if (ruwa[j / 16] >> (j % 16)) uwa_bits = 1 + j; + } + for (j = 0; j < 128; ++j) { + CHECK(secp256k1_u128_check_bits(&uwa, j) == (uwa_bits <= j)); + } + } + /* test secp256k1_i128_mul */ + mulmod256(rswr, rsb, rsc, NULL); + secp256k1_i128_mul(&swz, sb, sc); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + /* test secp256k1_i128_accum_mul */ + mulmod256(rswr, rsb, rsc, NULL); + add256(rswr, rswr, rswa); + if (int256is127(rswr)) { + swz = swa; + secp256k1_i128_accum_mul(&swz, sb, sc); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + } + /* test secp256k1_i128_det */ + { + uint16_t rsd[16], rse[16], rst[32]; + int64_t sd = v[0], se = v[1]; + load256u64(rsd, sd, 1); + load256u64(rse, se, 1); + mulmod256(rst, rsc, rsd, NULL); + neg256(rst, rst); + mulmod256(rswr, rsb, rse, NULL); + add256(rswr, rswr, rst); + secp256k1_i128_det(&swz, sb, sc, sd, se); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + } + /* test secp256k1_i128_rshift */ + rshift256(rswr, rswa, uc % 127, 1); + swz = swa; + secp256k1_i128_rshift(&swz, uc % 127); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rswr, rswz, 16) == 0); + /* test secp256k1_i128_to_i64 */ + CHECK((uint64_t)secp256k1_i128_to_i64(&swa) == v[0]); + /* test secp256k1_i128_from_i64 */ + secp256k1_i128_from_i64(&swz, sb); + load256i128(rswz, &swz); + CHECK(secp256k1_memcmp_var(rsb, rswz, 16) == 0); + /* test secp256k1_i128_eq_var */ + { + int expect = (uc & 1); + swz = swa; + if (!expect) { + /* Make sure swz != swa */ + uint64_t v0c = v[0], v1c = v[1]; + if (ub & 64) { + v1c ^= (((uint64_t)1) << (ub & 63)); + } else { + v0c ^= (((uint64_t)1) << (ub & 63)); + } + secp256k1_i128_load(&swz, v1c, v0c); + } + CHECK(secp256k1_i128_eq_var(&swa, &swz) == expect); + } + /* test secp256k1_i128_check_pow2 (sign == 1) */ + { + int expect = (uc & 1); + int pos = ub % 127; + if (expect) { + /* If expect==1, set swz to exactly (2 << pos). */ + uint64_t hi = 0; + uint64_t lo = 0; + if (pos & 64) { + hi = (((uint64_t)1) << (pos & 63)); + } else { + lo = (((uint64_t)1) << (pos & 63)); + } + secp256k1_i128_load(&swz, hi, lo); + } else { + /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal (2 << pos). */ + if (pos & 64) { + if ((v[1] == (((uint64_t)1) << (pos & 63))) && v[0] == 0) expect = 1; + } else { + if ((v[0] == (((uint64_t)1) << (pos & 63))) && v[1] == 0) expect = 1; + } + swz = swa; + } + CHECK(secp256k1_i128_check_pow2(&swz, pos, 1) == expect); + } + /* test secp256k1_i128_check_pow2 (sign == -1) */ + { + int expect = (uc & 1); + int pos = ub % 127; + if (expect) { + /* If expect==1, set swz to exactly -(2 << pos). */ + uint64_t hi = ~(uint64_t)0; + uint64_t lo = ~(uint64_t)0; + if (pos & 64) { + hi <<= (pos & 63); + lo = 0; + } else { + lo <<= (pos & 63); + } + secp256k1_i128_load(&swz, hi, lo); + } else { + /* If expect==0, set swz = swa, but update expect=1 if swa happens to equal -(2 << pos). */ + if (pos & 64) { + if ((v[1] == ((~(uint64_t)0) << (pos & 63))) && v[0] == 0) expect = 1; + } else { + if ((v[0] == ((~(uint64_t)0) << (pos & 63))) && v[1] == ~(uint64_t)0) expect = 1; + } + swz = swa; + } + CHECK(secp256k1_i128_check_pow2(&swz, pos, -1) == expect); + } +} + +void run_int128_tests(void) { + { /* secp256k1_u128_accum_mul */ + secp256k1_uint128 res; + + /* Check secp256k1_u128_accum_mul overflow */ + secp256k1_u128_mul(&res, UINT64_MAX, UINT64_MAX); + secp256k1_u128_accum_mul(&res, UINT64_MAX, UINT64_MAX); + CHECK(secp256k1_u128_to_u64(&res) == 2); + CHECK(secp256k1_u128_hi_u64(&res) == 18446744073709551612U); + } + { /* secp256k1_u128_accum_mul */ + secp256k1_int128 res; + + /* Compute INT128_MAX = 2^127 - 1 with secp256k1_i128_accum_mul */ + secp256k1_i128_mul(&res, INT64_MAX, INT64_MAX); + secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MAX); + CHECK(secp256k1_i128_to_i64(&res) == 2); + secp256k1_i128_accum_mul(&res, 4, 9223372036854775807); + secp256k1_i128_accum_mul(&res, 1, 1); + CHECK((uint64_t)secp256k1_i128_to_i64(&res) == UINT64_MAX); + secp256k1_i128_rshift(&res, 64); + CHECK(secp256k1_i128_to_i64(&res) == INT64_MAX); + + /* Compute INT128_MIN = - 2^127 with secp256k1_i128_accum_mul */ + secp256k1_i128_mul(&res, INT64_MAX, INT64_MIN); + CHECK(secp256k1_i128_to_i64(&res) == INT64_MIN); + secp256k1_i128_accum_mul(&res, INT64_MAX, INT64_MIN); + CHECK(secp256k1_i128_to_i64(&res) == 0); + secp256k1_i128_accum_mul(&res, 2, INT64_MIN); + CHECK(secp256k1_i128_to_i64(&res) == 0); + secp256k1_i128_rshift(&res, 64); + CHECK(secp256k1_i128_to_i64(&res) == INT64_MIN); + } + { + /* Randomized tests. */ + int i; + for (i = 0; i < 256 * count; ++i) run_int128_test_case(); + } +} +#endif + +/***** SCALAR TESTS *****/ void scalar_test(void) { secp256k1_scalar s; @@ -2854,8 +3202,10 @@ void run_sqrt(void) { for (j = 0; j < count; j++) { random_fe(&x); secp256k1_fe_sqr(&s, &x); + CHECK(secp256k1_fe_jacobi_var(&s) == 1); test_sqrt(&s, &x); secp256k1_fe_negate(&t, &s, 1); + CHECK(secp256k1_fe_jacobi_var(&t) == -1); test_sqrt(&t, NULL); secp256k1_fe_mul(&t, &s, &ns); test_sqrt(&t, NULL); @@ -3236,7 +3586,7 @@ void test_ge(void) { */ secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs)); secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs)); - secp256k1_fe zf; + secp256k1_fe zf, r; secp256k1_fe zfi2, zfi3; secp256k1_gej_set_infinity(&gej[0]); @@ -3278,6 +3628,11 @@ void test_ge(void) { secp256k1_fe_sqr(&zfi2, &zfi3); secp256k1_fe_mul(&zfi3, &zfi3, &zfi2); + /* Generate random r */ + do { + random_field_element_test(&r); + } while(secp256k1_fe_is_zero(&r)); + for (i1 = 0; i1 < 1 + 4 * runs; i1++) { int i2; for (i2 = 0; i2 < 1 + 4 * runs; i2++) { @@ -3390,6 +3745,29 @@ void test_ge(void) { free(ge_set_all); } + /* Test all elements have X coordinates on the curve. */ + for (i = 1; i < 4 * runs + 1; i++) { + secp256k1_fe n; + CHECK(secp256k1_ge_x_on_curve_var(&ge[i].x)); + /* And the same holds after random rescaling. */ + secp256k1_fe_mul(&n, &zf, &ge[i].x); + CHECK(secp256k1_ge_x_frac_on_curve_var(&n, &zf)); + } + + /* Test correspondence secp256k1_ge_x{,_frac}_on_curve_var with ge_set_xo. */ + { + secp256k1_fe n; + secp256k1_ge q; + int ret_on_curve, ret_frac_on_curve, ret_set_xo; + secp256k1_fe_mul(&n, &zf, &r); + ret_on_curve = secp256k1_ge_x_on_curve_var(&r); + ret_frac_on_curve = secp256k1_ge_x_frac_on_curve_var(&n, &zf); + ret_set_xo = secp256k1_ge_set_xo_var(&q, &r, 0); + CHECK(ret_on_curve == ret_frac_on_curve); + CHECK(ret_on_curve == ret_set_xo); + if (ret_set_xo) CHECK(secp256k1_fe_equal_var(&r, &q.x)); + } + /* Test batch gej -> ge conversion with many infinities. */ for (i = 0; i < 4 * runs + 1; i++) { int odd; @@ -3562,6 +3940,22 @@ void run_gej(void) { test_gej_cmov(&a, &b); test_gej_cmov(&b, &a); } + + /* Tests for secp256k1_gej_eq_var */ + for (i = 0; i < count; i++) { + secp256k1_fe fe; + random_gej_test(&a); + random_gej_test(&b); + CHECK(!secp256k1_gej_eq_var(&a, &b)); + + b = a; + random_field_element_test(&fe); + if (secp256k1_fe_is_zero(&fe)) { + continue; + } + secp256k1_gej_rescale(&a, &fe); + CHECK(secp256k1_gej_eq_var(&a, &b)); + } } void test_ec_combine(void) { @@ -3767,17 +4161,12 @@ void run_ecmult_chain(void) { 0xB95CBCA2, 0xC77DA786, 0x539BE8FD, 0x53354D2D, 0x3B4F566A, 0xE6580454, 0x07ED6015, 0xEE1B2A88 ); - - secp256k1_gej_neg(&rp, &rp); - secp256k1_gej_add_var(&rp, &rp, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&rp)); + CHECK(secp256k1_gej_eq_var(&rp, &x)); } } /* redo the computation, but directly with the resulting ae and ge coefficients: */ secp256k1_ecmult(&x2, &a, &ae, &ge); - secp256k1_gej_neg(&x2, &x2); - secp256k1_gej_add_var(&x2, &x2, &x, NULL); - CHECK(secp256k1_gej_is_infinity(&x2)); + CHECK(secp256k1_gej_eq_var(&x, &x2)); } void test_point_times_order(const secp256k1_gej *point) { @@ -3986,6 +4375,68 @@ void ecmult_const_mult_zero_one(void) { ge_equals_ge(&res2, &point); } +void ecmult_const_mult_xonly(void) { + int i; + + /* Test correspondence between secp256k1_ecmult_const and secp256k1_ecmult_const_xonly. */ + for (i = 0; i < 2*count; ++i) { + secp256k1_ge base; + secp256k1_gej basej, resj; + secp256k1_fe n, d, resx, v; + secp256k1_scalar q; + int res; + /* Random base point. */ + random_group_element_test(&base); + /* Random scalar to multiply it with. */ + random_scalar_order_test(&q); + /* If i is odd, n=d*base.x for random non-zero d */ + if (i & 1) { + do { + random_field_element_test(&d); + } while (secp256k1_fe_normalizes_to_zero_var(&d)); + secp256k1_fe_mul(&n, &base.x, &d); + } else { + n = base.x; + } + /* Perform x-only multiplication. */ + res = secp256k1_ecmult_const_xonly(&resx, &n, (i & 1) ? &d : NULL, &q, 256, i & 2); + CHECK(res); + /* Perform normal multiplication. */ + secp256k1_gej_set_ge(&basej, &base); + secp256k1_ecmult(&resj, &basej, &q, NULL); + /* Check that resj's X coordinate corresponds with resx. */ + secp256k1_fe_sqr(&v, &resj.z); + secp256k1_fe_mul(&v, &v, &resx); + CHECK(check_fe_equal(&v, &resj.x)); + } + + /* Test that secp256k1_ecmult_const_xonly correctly rejects X coordinates not on curve. */ + for (i = 0; i < 2*count; ++i) { + secp256k1_fe x, n, d, c, r; + int res; + secp256k1_scalar q; + random_scalar_order_test(&q); + /* Generate random X coordinate not on the curve. */ + do { + random_field_element_test(&x); + secp256k1_fe_sqr(&c, &x); + secp256k1_fe_mul(&c, &c, &x); + secp256k1_fe_add(&c, &secp256k1_fe_const_b); + } while (secp256k1_fe_jacobi_var(&c) >= 0); + /* If i is odd, n=d*x for random non-zero d. */ + if (i & 1) { + do { + random_field_element_test(&d); + } while (secp256k1_fe_normalizes_to_zero_var(&d)); + secp256k1_fe_mul(&n, &x, &d); + } else { + n = x; + } + res = secp256k1_ecmult_const_xonly(&r, &n, (i & 1) ? &d : NULL, &q, 256, 0); + CHECK(res == 0); + } +} + void ecmult_const_chain_multiply(void) { /* Check known result (randomly generated test problem from sage) */ const secp256k1_scalar scalar = SECP256K1_SCALAR_CONST( @@ -4017,6 +4468,7 @@ void run_ecmult_const_tests(void) { ecmult_const_random_mult(); ecmult_const_commutativity(); ecmult_const_chain_multiply(); + ecmult_const_mult_xonly(); } typedef struct { @@ -4070,16 +4522,12 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e /* only G scalar */ secp256k1_ecmult(&r2, &ptgj, &szero, &sc[0]); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 1-point */ secp256k1_ecmult(&r2, &ptgj, &sc[0], &szero); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 1)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* Try to multiply 1 point, but callback returns false */ CHECK(!ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1)); @@ -4087,16 +4535,12 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e /* 2-point */ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 2)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); /* 2-point with G scalar */ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Check infinite outputs of various forms */ @@ -4181,9 +4625,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_ecmult(&r2, &r, &sc[0], &szero); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Check random scalars, constant point */ @@ -4204,9 +4646,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_gej_set_ge(&p0j, &pt[0]); secp256k1_ecmult(&r2, &p0j, &rs, &szero); CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); - secp256k1_gej_neg(&r2, &r2); - secp256k1_gej_add_var(&r, &r, &r2, NULL); - CHECK(secp256k1_gej_is_infinity(&r)); + CHECK(secp256k1_gej_eq_var(&r, &r2)); } /* Sanity check that zero scalars don't cause problems */ @@ -4268,9 +4708,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_ecmult(&expected, &ptgj, &tmp1, &szero); CHECK(ecmult_multi(&ctx->error_callback, scratch, &actual, &szero, ecmult_multi_callback, &data, 2)); - secp256k1_gej_neg(&expected, &expected); - secp256k1_gej_add_var(&actual, &actual, &expected, NULL); - CHECK(secp256k1_gej_is_infinity(&actual)); + CHECK(secp256k1_gej_eq_var(&actual, &expected)); } } } @@ -4440,9 +4878,7 @@ int test_ecmult_multi_random(secp256k1_scratch *scratch) { CHECK(ecmult_multi(&ctx->error_callback, scratch, &computed, g_scalar_ptr, ecmult_multi_callback, &data, filled)); mults += num_nonzero + g_nonzero; /* Compare with expected result. */ - secp256k1_gej_neg(&computed, &computed); - secp256k1_gej_add_var(&computed, &computed, &expected, NULL); - CHECK(secp256k1_gej_is_infinity(&computed)); + CHECK(secp256k1_gej_eq_var(&computed, &expected)); return mults; } @@ -5497,7 +5933,7 @@ void run_ec_pubkey_parse_test(void) { ecount = 0; VG_UNDEF(&pubkey, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1); - CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_no_precomp, &pubkey, pubkeyc, 65) == 1); + CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_static, &pubkey, pubkeyc, 65) == 1); VG_CHECK(&pubkey, sizeof(pubkey)); CHECK(ecount == 0); VG_UNDEF(&ge, sizeof(ge)); @@ -6872,6 +7308,10 @@ void run_ecdsa_edge_cases(void) { # include "modules/schnorrsig/tests_impl.h" #endif +#ifdef ENABLE_MODULE_ELLSWIFT +# include "modules/ellswift/tests_impl.h" +#endif + void run_secp256k1_memczero_test(void) { unsigned char buf1[6] = {1, 2, 3, 4, 5, 6}; unsigned char buf2[sizeof(buf1)]; @@ -7083,19 +7523,27 @@ int main(int argc, char **argv) { secp256k1_testrand_init(argc > 2 ? argv[2] : NULL); /* initialize */ + run_selftest_tests(); run_context_tests(0); run_context_tests(1); run_scratch_tests(); - ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - if (secp256k1_testrand_bits(1)) { + + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); + /* Randomize the context only with probability 15/16 + to make sure we test without context randomization from time to time. + TODO Reconsider this when recalibrating the tests. */ + if (secp256k1_testrand_bits(4)) { unsigned char rand32[32]; secp256k1_testrand256(rand32); - CHECK(secp256k1_context_randomize(ctx, secp256k1_testrand_bits(1) ? rand32 : NULL)); + CHECK(secp256k1_context_randomize(ctx, rand32)); } run_rand_bits(); run_rand_int(); +#ifdef SECP256K1_WIDEMUL_INT128 + run_int128_tests(); +#endif run_ctz_tests(); run_modinv_tests(); run_inverse_tests(); @@ -7172,6 +7620,10 @@ int main(int argc, char **argv) { run_schnorrsig_tests(); #endif +#ifdef ENABLE_MODULE_ELLSWIFT + run_ellswift_tests(); +#endif + /* util tests */ run_secp256k1_memczero_test(); run_secp256k1_byteorder_tests(); diff --git a/src/tests_exhaustive.c b/src/tests_exhaustive.c index 6a4e2340f2..c001dcb80b 100644 --- a/src/tests_exhaustive.c +++ b/src/tests_exhaustive.c @@ -342,15 +342,15 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou } #ifdef ENABLE_MODULE_RECOVERY -#include "src/modules/recovery/tests_exhaustive_impl.h" +#include "modules/recovery/tests_exhaustive_impl.h" #endif #ifdef ENABLE_MODULE_EXTRAKEYS -#include "src/modules/extrakeys/tests_exhaustive_impl.h" +#include "modules/extrakeys/tests_exhaustive_impl.h" #endif #ifdef ENABLE_MODULE_SCHNORRSIG -#include "src/modules/schnorrsig/tests_exhaustive_impl.h" +#include "modules/schnorrsig/tests_exhaustive_impl.h" #endif int main(int argc, char** argv) { @@ -396,7 +396,7 @@ int main(int argc, char** argv) { while (count--) { /* Build context */ - ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + ctx = secp256k1_context_create(SECP256K1_CONTEXT_NONE); secp256k1_testrand256(rand32); CHECK(secp256k1_context_randomize(ctx, rand32)); diff --git a/src/util.h b/src/util.h index dac86bd77f..864baaee4d 100644 --- a/src/util.h +++ b/src/util.h @@ -16,6 +16,11 @@ #include #include +#define STR_(x) #x +#define STR(x) STR_(x) +#define DEBUG_CONFIG_MSG(x) "DEBUG_CONFIG: " x +#define DEBUG_CONFIG_DEF(x) DEBUG_CONFIG_MSG(#x "=" STR(x)) + typedef struct { void (*fn)(const char *text, void* data); const void* data; @@ -225,28 +230,36 @@ static SECP256K1_INLINE void secp256k1_int_cmov(int *r, const int *a, int flag) *r = (int)(r_masked | a_masked); } -/* If USE_FORCE_WIDEMUL_{INT128,INT64} is set, use that wide multiplication implementation. - * Otherwise use the presence of __SIZEOF_INT128__ to decide. - */ -#if defined(USE_FORCE_WIDEMUL_INT128) +#if defined(USE_FORCE_WIDEMUL_INT128_STRUCT) +/* If USE_FORCE_WIDEMUL_INT128_STRUCT is set, use int128_struct. */ # define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 +#elif defined(USE_FORCE_WIDEMUL_INT128) +/* If USE_FORCE_WIDEMUL_INT128 is set, use int128. */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_NATIVE 1 #elif defined(USE_FORCE_WIDEMUL_INT64) +/* If USE_FORCE_WIDEMUL_INT64 is set, use int64. */ # define SECP256K1_WIDEMUL_INT64 1 #elif defined(UINT128_MAX) || defined(__SIZEOF_INT128__) +/* If a native 128-bit integer type exists, use int128. */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_NATIVE 1 +#elif defined(_MSC_VER) && (defined(_M_X64) || defined(_M_ARM64)) +/* On 64-bit MSVC targets (x86_64 and arm64), use int128_struct + * (which has special logic to implement using intrinsics on those systems). */ # define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 +#elif SIZE_MAX > 0xffffffff +/* Systems with 64-bit pointers (and thus registers) very likely benefit from + * using 64-bit based arithmetic (even if we need to fall back to 32x32->64 based + * multiplication logic). */ +# define SECP256K1_WIDEMUL_INT128 1 +# define SECP256K1_INT128_STRUCT 1 #else +/* Lastly, fall back to int64 based arithmetic. */ # define SECP256K1_WIDEMUL_INT64 1 #endif -#if defined(SECP256K1_WIDEMUL_INT128) -# if !defined(UINT128_MAX) && defined(__SIZEOF_INT128__) -SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t; -SECP256K1_GNUC_EXT typedef __int128 int128_t; -#define UINT128_MAX ((uint128_t)(-1)) -#define INT128_MAX ((int128_t)(UINT128_MAX >> 1)) -#define INT128_MIN (-INT128_MAX - 1) -/* No (U)INT128_C macros because compilers providing __int128 do not support 128-bit literals. */ -# endif -#endif #ifndef __has_builtin #define __has_builtin(x) 0 diff --git a/src/valgrind_ctime_test.c b/src/valgrind_ctime_test.c index 6ff0085d34..2c97f691e7 100644 --- a/src/valgrind_ctime_test.c +++ b/src/valgrind_ctime_test.c @@ -27,6 +27,10 @@ #include "../include/secp256k1_schnorrsig.h" #endif +#ifdef ENABLE_MODULE_ELLSWIFT +#include "../include/secp256k1_ellswift.h" +#endif + void run_tests(secp256k1_context *ctx, unsigned char *key); int main(void) { @@ -39,9 +43,7 @@ int main(void) { fprintf(stderr, "Usage: libtool --mode=execute valgrind ./valgrind_ctime_test\n"); return 1; } - ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN - | SECP256K1_CONTEXT_VERIFY - | SECP256K1_CONTEXT_DECLASSIFY); + ctx = secp256k1_context_create(SECP256K1_CONTEXT_DECLASSIFY); /** In theory, testing with a single secret input should be sufficient: * If control flow depended on secrets the tool would generate an error. */ @@ -79,6 +81,9 @@ void run_tests(secp256k1_context *ctx, unsigned char *key) { #ifdef ENABLE_MODULE_EXTRAKEYS secp256k1_keypair keypair; #endif +#ifdef ENABLE_MODULE_ELLSWIFT + unsigned char ellswift[64]; +#endif for (i = 0; i < 32; i++) { msg[i] = i + 1; @@ -170,4 +175,22 @@ void run_tests(secp256k1_context *ctx, unsigned char *key) { VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret)); CHECK(ret == 1); #endif + +#ifdef ENABLE_MODULE_ELLSWIFT + VALGRIND_MAKE_MEM_UNDEFINED(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, NULL); + VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret)); + CHECK(ret == 1); + + VALGRIND_MAKE_MEM_UNDEFINED(key, 32); + ret = secp256k1_ellswift_create(ctx, ellswift, key, key); + VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret)); + CHECK(ret == 1); + + VALGRIND_MAKE_MEM_UNDEFINED(key, 32); + VALGRIND_MAKE_MEM_DEFINED(&ellswift, sizeof(ellswift)); + ret = secp256k1_ellswift_xdh(ctx, msg, ellswift, ellswift, key, NULL, NULL); + VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret)); + CHECK(ret == 1); +#endif }