diff options
Diffstat (limited to 'crypto/secp256k1')
78 files changed, 8229 insertions, 1990 deletions
diff --git a/crypto/secp256k1/curve.go b/crypto/secp256k1/curve.go index 6e44a6771..61cad5463 100644 --- a/crypto/secp256k1/curve.go +++ b/crypto/secp256k1/curve.go @@ -33,7 +33,6 @@ package secp256k1 import ( "crypto/elliptic" - "io" "math/big" "sync" "unsafe" @@ -224,6 +223,7 @@ func (BitCurve *BitCurve) ScalarMult(Bx, By *big.Int, scalar []byte) (*big.Int, if len(scalar) > 32 { panic("can't handle scalars > 256 bits") } + // NOTE: potential timing issue padded := make([]byte, 32) copy(padded[32-len(scalar):], scalar) scalar = padded @@ -257,31 +257,6 @@ func (BitCurve *BitCurve) ScalarBaseMult(k []byte) (*big.Int, *big.Int) { return BitCurve.ScalarMult(BitCurve.Gx, BitCurve.Gy, k) } -var mask = []byte{0xff, 0x1, 0x3, 0x7, 0xf, 0x1f, 0x3f, 0x7f} - -//TODO: double check if it is okay -// GenerateKey returns a public/private key pair. The private key is generated -// using the given reader, which must return random data. -func (BitCurve *BitCurve) GenerateKey(rand io.Reader) (priv []byte, x, y *big.Int, err error) { - byteLen := (BitCurve.BitSize + 7) >> 3 - priv = make([]byte, byteLen) - - for x == nil { - _, err = io.ReadFull(rand, priv) - if err != nil { - return - } - // We have to mask off any excess bits in the case that the size of the - // underlying field is not a whole number of bytes. - priv[0] &= mask[BitCurve.BitSize%8] - // This is because, in tests, rand will return all zeros and we don't - // want to get the point at infinity and loop forever. - priv[1] ^= 0x42 - x, y = BitCurve.ScalarBaseMult(priv) - } - return -} - // Marshal converts a point into the form specified in section 4.3.6 of ANSI // X9.62. func (BitCurve *BitCurve) Marshal(x, y *big.Int) []byte { diff --git a/crypto/secp256k1/ext.h b/crypto/secp256k1/ext.h new file mode 100644 index 000000000..ee759fde6 --- /dev/null +++ b/crypto/secp256k1/ext.h @@ -0,0 +1,87 @@ +// Copyright 2015 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>. + +// secp256k1_context_create_sign_verify creates a context for signing and signature verification. +static secp256k1_context* secp256k1_context_create_sign_verify() { + return secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); +} + +// secp256k1_ecdsa_recover_pubkey recovers the public key of an encoded compact signature. +// +// Returns: 1: recovery was successful +// 0: recovery was not successful +// Args: ctx: pointer to a context object (cannot be NULL) +// Out: pubkey_out: the serialized 65-byte public key of the signer (cannot be NULL) +// In: sigdata: pointer to a 65-byte signature with the recovery id at the end (cannot be NULL) +// msgdata: pointer to a 32-byte message (cannot be NULL) +static int secp256k1_ecdsa_recover_pubkey( + const secp256k1_context* ctx, + unsigned char *pubkey_out, + const unsigned char *sigdata, + const unsigned char *msgdata +) { + secp256k1_ecdsa_recoverable_signature sig; + secp256k1_pubkey pubkey; + + if (!secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &sig, sigdata, (int)sigdata[64])) { + return 0; + } + if (!secp256k1_ecdsa_recover(ctx, &pubkey, &sig, msgdata)) { + return 0; + } + size_t outputlen = 65; + return secp256k1_ec_pubkey_serialize(ctx, pubkey_out, &outputlen, &pubkey, SECP256K1_EC_UNCOMPRESSED); +} + +// secp256k1_pubkey_scalar_mul multiplies a point by a scalar in constant time. +// +// Returns: 1: multiplication was successful +// 0: scalar was invalid (zero or overflow) +// Args: ctx: pointer to a context object (cannot be NULL) +// Out: point: the multiplied point (usually secret) +// In: point: pointer to a 64-byte public point, +// encoded as two 256bit big-endian numbers. +// scalar: a 32-byte scalar with which to multiply the point +int secp256k1_pubkey_scalar_mul(const secp256k1_context* ctx, unsigned char *point, const unsigned char *scalar) { + int ret = 0; + int overflow = 0; + secp256k1_fe feX, feY; + secp256k1_gej res; + secp256k1_ge ge; + secp256k1_scalar s; + ARG_CHECK(point != NULL); + ARG_CHECK(scalar != NULL); + (void)ctx; + + secp256k1_fe_set_b32(&feX, point); + secp256k1_fe_set_b32(&feY, point+32); + secp256k1_ge_set_xy(&ge, &feX, &feY); + secp256k1_scalar_set_b32(&s, scalar, &overflow); + if (overflow || secp256k1_scalar_is_zero(&s)) { + ret = 0; + } else { + secp256k1_ecmult_const(&res, &ge, &s); + secp256k1_ge_set_gej(&ge, &res); + /* Note: can't use secp256k1_pubkey_save here because it is not constant time. */ + secp256k1_fe_normalize(&ge.x); + secp256k1_fe_normalize(&ge.y); + secp256k1_fe_get_b32(point, &ge.x); + secp256k1_fe_get_b32(point+32, &ge.y); + ret = 1; + } + secp256k1_scalar_clear(&s); + return ret; +} diff --git a/crypto/secp256k1/libsecp256k1/.gitignore b/crypto/secp256k1/libsecp256k1/.gitignore index e0b7b7a48..87fea161b 100644 --- a/crypto/secp256k1/libsecp256k1/.gitignore +++ b/crypto/secp256k1/libsecp256k1/.gitignore @@ -6,6 +6,7 @@ bench_schnorr_verify bench_recover bench_internal tests +exhaustive_tests gen_context *.exe *.so @@ -25,17 +26,24 @@ config.status libtool .deps/ .dirstamp -build-aux/ *.lo *.o *~ src/libsecp256k1-config.h src/libsecp256k1-config.h.in src/ecmult_static_context.h -m4/libtool.m4 -m4/ltoptions.m4 -m4/ltsugar.m4 -m4/ltversion.m4 -m4/lt~obsolete.m4 +build-aux/config.guess +build-aux/config.sub +build-aux/depcomp +build-aux/install-sh +build-aux/ltmain.sh +build-aux/m4/libtool.m4 +build-aux/m4/lt~obsolete.m4 +build-aux/m4/ltoptions.m4 +build-aux/m4/ltsugar.m4 +build-aux/m4/ltversion.m4 +build-aux/missing +build-aux/compile +build-aux/test-driver src/stamp-h1 libsecp256k1.pc diff --git a/crypto/secp256k1/libsecp256k1/.travis.yml b/crypto/secp256k1/libsecp256k1/.travis.yml index fba0892dd..243952924 100644 --- a/crypto/secp256k1/libsecp256k1/.travis.yml +++ b/crypto/secp256k1/libsecp256k1/.travis.yml @@ -6,25 +6,30 @@ addons: compiler: - clang - gcc +cache: + directories: + - src/java/guava/ env: global: - - FIELD=auto BIGNUM=auto SCALAR=auto ENDOMORPHISM=no STATICPRECOMPUTATION=yes ASM=no BUILD=check EXTRAFLAGS= HOST= ECDH=no schnorr=NO RECOVERY=NO + - FIELD=auto BIGNUM=auto SCALAR=auto ENDOMORPHISM=no STATICPRECOMPUTATION=yes ASM=no BUILD=check EXTRAFLAGS= HOST= ECDH=no RECOVERY=no EXPERIMENTAL=no + - GUAVA_URL=https://search.maven.org/remotecontent?filepath=com/google/guava/guava/18.0/guava-18.0.jar GUAVA_JAR=src/java/guava/guava-18.0.jar matrix: - SCALAR=32bit RECOVERY=yes - - SCALAR=32bit FIELD=32bit ECDH=yes + - SCALAR=32bit FIELD=32bit ECDH=yes EXPERIMENTAL=yes - SCALAR=64bit - FIELD=64bit RECOVERY=yes - FIELD=64bit ENDOMORPHISM=yes - - FIELD=64bit ENDOMORPHISM=yes ECDH=yes + - FIELD=64bit ENDOMORPHISM=yes ECDH=yes EXPERIMENTAL=yes - FIELD=64bit ASM=x86_64 - FIELD=64bit ENDOMORPHISM=yes ASM=x86_64 - - FIELD=32bit SCHNORR=yes - FIELD=32bit ENDOMORPHISM=yes - BIGNUM=no - - BIGNUM=no ENDOMORPHISM=yes SCHNORR=yes RECOVERY=yes + - BIGNUM=no ENDOMORPHISM=yes RECOVERY=yes EXPERIMENTAL=yes - BIGNUM=no STATICPRECOMPUTATION=no - BUILD=distcheck - - EXTRAFLAGS=CFLAGS=-DDETERMINISTIC + - EXTRAFLAGS=CPPFLAGS=-DDETERMINISTIC + - EXTRAFLAGS=CFLAGS=-O0 + - BUILD=check-java ECDH=yes EXPERIMENTAL=yes matrix: fast_finish: true include: @@ -54,9 +59,11 @@ matrix: packages: - gcc-multilib - libgmp-dev:i386 +before_install: mkdir -p `dirname $GUAVA_JAR` +install: if [ ! -f $GUAVA_JAR ]; then wget $GUAVA_URL -O $GUAVA_JAR; fi before_script: ./autogen.sh script: - if [ -n "$HOST" ]; then export USE_HOST="--host=$HOST"; fi - if [ "x$HOST" = "xi686-linux-gnu" ]; then export CC="$CC -m32"; fi - - ./configure --enable-endomorphism=$ENDOMORPHISM --with-field=$FIELD --with-bignum=$BIGNUM --with-scalar=$SCALAR --enable-ecmult-static-precomputation=$STATICPRECOMPUTATION --enable-module-ecdh=$ECDH --enable-module-schnorr=$SCHNORR $EXTRAFLAGS $USE_HOST && make -j2 $BUILD + - ./configure --enable-experimental=$EXPERIMENTAL --enable-endomorphism=$ENDOMORPHISM --with-field=$FIELD --with-bignum=$BIGNUM --with-scalar=$SCALAR --enable-ecmult-static-precomputation=$STATICPRECOMPUTATION --enable-module-ecdh=$ECDH --enable-module-recovery=$RECOVERY $EXTRAFLAGS $USE_HOST && make -j2 $BUILD os: linux diff --git a/crypto/secp256k1/libsecp256k1/Makefile.am b/crypto/secp256k1/libsecp256k1/Makefile.am index 57524fab0..c071fbe27 100644 --- a/crypto/secp256k1/libsecp256k1/Makefile.am +++ b/crypto/secp256k1/libsecp256k1/Makefile.am @@ -1,14 +1,22 @@ ACLOCAL_AMFLAGS = -I build-aux/m4 lib_LTLIBRARIES = libsecp256k1.la +if USE_JNI +JNI_LIB = libsecp256k1_jni.la +noinst_LTLIBRARIES = $(JNI_LIB) +else +JNI_LIB = +endif include_HEADERS = include/secp256k1.h noinst_HEADERS = noinst_HEADERS += src/scalar.h noinst_HEADERS += src/scalar_4x64.h noinst_HEADERS += src/scalar_8x32.h +noinst_HEADERS += src/scalar_low.h noinst_HEADERS += src/scalar_impl.h noinst_HEADERS += src/scalar_4x64_impl.h noinst_HEADERS += src/scalar_8x32_impl.h +noinst_HEADERS += src/scalar_low_impl.h noinst_HEADERS += src/group.h noinst_HEADERS += src/group_impl.h noinst_HEADERS += src/num_gmp.h @@ -32,6 +40,7 @@ noinst_HEADERS += src/field_5x52_impl.h noinst_HEADERS += src/field_5x52_int128_impl.h noinst_HEADERS += src/field_5x52_asm_impl.h noinst_HEADERS += src/java/org_bitcoin_NativeSecp256k1.h +noinst_HEADERS += src/java/org_bitcoin_Secp256k1Context.h noinst_HEADERS += src/util.h noinst_HEADERS += src/testrand.h noinst_HEADERS += src/testrand_impl.h @@ -40,41 +49,103 @@ noinst_HEADERS += src/hash_impl.h noinst_HEADERS += src/field.h noinst_HEADERS += src/field_impl.h noinst_HEADERS += src/bench.h +noinst_HEADERS += contrib/lax_der_parsing.h +noinst_HEADERS += contrib/lax_der_parsing.c +noinst_HEADERS += contrib/lax_der_privatekey_parsing.h +noinst_HEADERS += contrib/lax_der_privatekey_parsing.c + +if USE_EXTERNAL_ASM +COMMON_LIB = libsecp256k1_common.la +noinst_LTLIBRARIES = $(COMMON_LIB) +else +COMMON_LIB = +endif pkgconfigdir = $(libdir)/pkgconfig pkgconfig_DATA = libsecp256k1.pc +if USE_EXTERNAL_ASM +if USE_ASM_ARM +libsecp256k1_common_la_SOURCES = src/asm/field_10x26_arm.s +endif +endif + libsecp256k1_la_SOURCES = src/secp256k1.c -libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES) -libsecp256k1_la_LIBADD = $(SECP_LIBS) +libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES) +libsecp256k1_la_LIBADD = $(JNI_LIB) $(SECP_LIBS) $(COMMON_LIB) +libsecp256k1_jni_la_SOURCES = src/java/org_bitcoin_NativeSecp256k1.c src/java/org_bitcoin_Secp256k1Context.c +libsecp256k1_jni_la_CPPFLAGS = -DSECP256K1_BUILD $(JNI_INCLUDES) noinst_PROGRAMS = if USE_BENCHMARK noinst_PROGRAMS += bench_verify bench_sign bench_internal bench_verify_SOURCES = src/bench_verify.c -bench_verify_LDADD = libsecp256k1.la $(SECP_LIBS) -bench_verify_LDFLAGS = -static +bench_verify_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) bench_sign_SOURCES = src/bench_sign.c -bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS) -bench_sign_LDFLAGS = -static +bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) bench_internal_SOURCES = src/bench_internal.c -bench_internal_LDADD = $(SECP_LIBS) -bench_internal_LDFLAGS = -static -bench_internal_CPPFLAGS = $(SECP_INCLUDES) +bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB) +bench_internal_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES) endif +TESTS = if USE_TESTS noinst_PROGRAMS += tests tests_SOURCES = src/tests.c -tests_CPPFLAGS = -DVERIFY -I$(top_srcdir)/src $(SECP_INCLUDES) $(SECP_TEST_INCLUDES) -tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS) +tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES) +if !ENABLE_COVERAGE +tests_CPPFLAGS += -DVERIFY +endif +tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) tests_LDFLAGS = -static -TESTS = tests +TESTS += tests +endif + +if USE_EXHAUSTIVE_TESTS +noinst_PROGRAMS += exhaustive_tests +exhaustive_tests_SOURCES = src/tests_exhaustive.c +exhaustive_tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES) +if !ENABLE_COVERAGE +exhaustive_tests_CPPFLAGS += -DVERIFY +endif +exhaustive_tests_LDADD = $(SECP_LIBS) +exhaustive_tests_LDFLAGS = -static +TESTS += exhaustive_tests +endif + +JAVAROOT=src/java +JAVAORG=org/bitcoin +JAVA_GUAVA=$(srcdir)/$(JAVAROOT)/guava/guava-18.0.jar +CLASSPATH_ENV=CLASSPATH=$(JAVA_GUAVA) +JAVA_FILES= \ + $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1.java \ + $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1Test.java \ + $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1Util.java \ + $(JAVAROOT)/$(JAVAORG)/Secp256k1Context.java + +if USE_JNI + +$(JAVA_GUAVA): + @echo Guava is missing. Fetch it via: \ + wget https://search.maven.org/remotecontent?filepath=com/google/guava/guava/18.0/guava-18.0.jar -O $(@) + @false + +.stamp-java: $(JAVA_FILES) + @echo Compiling $^ + $(AM_V_at)$(CLASSPATH_ENV) javac $^ + @touch $@ + +if USE_TESTS + +check-java: libsecp256k1.la $(JAVA_GUAVA) .stamp-java + $(AM_V_at)java -Djava.library.path="./:./src:./src/.libs:.libs/" -cp "$(JAVA_GUAVA):$(JAVAROOT)" $(JAVAORG)/NativeSecp256k1Test + +endif endif if USE_ECMULT_STATIC_PRECOMPUTATION -CPPFLAGS_FOR_BUILD +=-I$(top_srcdir)/ +CPPFLAGS_FOR_BUILD +=-I$(top_srcdir) CFLAGS_FOR_BUILD += -Wall -Wextra -Wno-unused-function gen_context_OBJECTS = gen_context.o @@ -92,19 +163,15 @@ $(bench_internal_OBJECTS): src/ecmult_static_context.h src/ecmult_static_context.h: $(gen_context_BIN) ./$(gen_context_BIN) -CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h +CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h $(JAVAROOT)/$(JAVAORG)/*.class .stamp-java endif -EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h +EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h $(JAVA_FILES) if ENABLE_MODULE_ECDH include src/modules/ecdh/Makefile.am.include endif -if ENABLE_MODULE_SCHNORR -include src/modules/schnorr/Makefile.am.include -endif - if ENABLE_MODULE_RECOVERY include src/modules/recovery/Makefile.am.include endif diff --git a/crypto/secp256k1/libsecp256k1/README.md b/crypto/secp256k1/libsecp256k1/README.md index 6095db422..8cd344ea8 100644 --- a/crypto/secp256k1/libsecp256k1/README.md +++ b/crypto/secp256k1/libsecp256k1/README.md @@ -1,7 +1,7 @@ libsecp256k1 ============ -[](https://travis-ci.org/bitcoin/secp256k1) +[](https://travis-ci.org/bitcoin-core/secp256k1) Optimized C library for EC operations on curve secp256k1. diff --git a/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_jni_include_dir.m4 b/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_jni_include_dir.m4 new file mode 100644 index 000000000..1fc362761 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_jni_include_dir.m4 @@ -0,0 +1,140 @@ +# =========================================================================== +# http://www.gnu.org/software/autoconf-archive/ax_jni_include_dir.html +# =========================================================================== +# +# SYNOPSIS +# +# AX_JNI_INCLUDE_DIR +# +# DESCRIPTION +# +# AX_JNI_INCLUDE_DIR finds include directories needed for compiling +# programs using the JNI interface. +# +# JNI include directories are usually in the Java distribution. This is +# deduced from the value of $JAVA_HOME, $JAVAC, or the path to "javac", in +# that order. When this macro completes, a list of directories is left in +# the variable JNI_INCLUDE_DIRS. +# +# Example usage follows: +# +# AX_JNI_INCLUDE_DIR +# +# for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS +# do +# CPPFLAGS="$CPPFLAGS -I$JNI_INCLUDE_DIR" +# done +# +# If you want to force a specific compiler: +# +# - at the configure.in level, set JAVAC=yourcompiler before calling +# AX_JNI_INCLUDE_DIR +# +# - at the configure level, setenv JAVAC +# +# Note: This macro can work with the autoconf M4 macros for Java programs. +# This particular macro is not part of the original set of macros. +# +# LICENSE +# +# Copyright (c) 2008 Don Anderson <dda@sleepycat.com> +# +# Copying and distribution of this file, with or without modification, are +# permitted in any medium without royalty provided the copyright notice +# and this notice are preserved. This file is offered as-is, without any +# warranty. + +#serial 10 + +AU_ALIAS([AC_JNI_INCLUDE_DIR], [AX_JNI_INCLUDE_DIR]) +AC_DEFUN([AX_JNI_INCLUDE_DIR],[ + +JNI_INCLUDE_DIRS="" + +if test "x$JAVA_HOME" != x; then + _JTOPDIR="$JAVA_HOME" +else + if test "x$JAVAC" = x; then + JAVAC=javac + fi + AC_PATH_PROG([_ACJNI_JAVAC], [$JAVAC], [no]) + if test "x$_ACJNI_JAVAC" = xno; then + AC_MSG_WARN([cannot find JDK; try setting \$JAVAC or \$JAVA_HOME]) + fi + _ACJNI_FOLLOW_SYMLINKS("$_ACJNI_JAVAC") + _JTOPDIR=`echo "$_ACJNI_FOLLOWED" | sed -e 's://*:/:g' -e 's:/[[^/]]*$::'` +fi + +case "$host_os" in + darwin*) _JTOPDIR=`echo "$_JTOPDIR" | sed -e 's:/[[^/]]*$::'` + _JINC="$_JTOPDIR/Headers";; + *) _JINC="$_JTOPDIR/include";; +esac +_AS_ECHO_LOG([_JTOPDIR=$_JTOPDIR]) +_AS_ECHO_LOG([_JINC=$_JINC]) + +# On Mac OS X 10.6.4, jni.h is a symlink: +# /System/Library/Frameworks/JavaVM.framework/Versions/Current/Headers/jni.h +# -> ../../CurrentJDK/Headers/jni.h. + +AC_CACHE_CHECK(jni headers, ac_cv_jni_header_path, +[ +if test -f "$_JINC/jni.h"; then + ac_cv_jni_header_path="$_JINC" + JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path" +else + _JTOPDIR=`echo "$_JTOPDIR" | sed -e 's:/[[^/]]*$::'` + if test -f "$_JTOPDIR/include/jni.h"; then + ac_cv_jni_header_path="$_JTOPDIR/include" + JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path" + else + ac_cv_jni_header_path=none + fi +fi +]) + + + +# get the likely subdirectories for system specific java includes +case "$host_os" in +bsdi*) _JNI_INC_SUBDIRS="bsdos";; +darwin*) _JNI_INC_SUBDIRS="darwin";; +freebsd*) _JNI_INC_SUBDIRS="freebsd";; +linux*) _JNI_INC_SUBDIRS="linux genunix";; +osf*) _JNI_INC_SUBDIRS="alpha";; +solaris*) _JNI_INC_SUBDIRS="solaris";; +mingw*) _JNI_INC_SUBDIRS="win32";; +cygwin*) _JNI_INC_SUBDIRS="win32";; +*) _JNI_INC_SUBDIRS="genunix";; +esac + +if test "x$ac_cv_jni_header_path" != "xnone"; then + # add any subdirectories that are present + for JINCSUBDIR in $_JNI_INC_SUBDIRS + do + if test -d "$_JTOPDIR/include/$JINCSUBDIR"; then + JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $_JTOPDIR/include/$JINCSUBDIR" + fi + done +fi +]) + +# _ACJNI_FOLLOW_SYMLINKS <path> +# Follows symbolic links on <path>, +# finally setting variable _ACJNI_FOLLOWED +# ---------------------------------------- +AC_DEFUN([_ACJNI_FOLLOW_SYMLINKS],[ +# find the include directory relative to the javac executable +_cur="$1" +while ls -ld "$_cur" 2>/dev/null | grep " -> " >/dev/null; do + AC_MSG_CHECKING([symlink for $_cur]) + _slink=`ls -ld "$_cur" | sed 's/.* -> //'` + case "$_slink" in + /*) _cur="$_slink";; + # 'X' avoids triggering unwanted echo options. + *) _cur=`echo "X$_cur" | sed -e 's/^X//' -e 's:[[^/]]*$::'`"$_slink";; + esac + AC_MSG_RESULT([$_cur]) +done +_ACJNI_FOLLOWED="$_cur" +])# _ACJNI diff --git a/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_prog_cc_for_build.m4 b/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_prog_cc_for_build.m4 new file mode 100644 index 000000000..77fd346a7 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/build-aux/m4/ax_prog_cc_for_build.m4 @@ -0,0 +1,125 @@ +# =========================================================================== +# http://www.gnu.org/software/autoconf-archive/ax_prog_cc_for_build.html +# =========================================================================== +# +# SYNOPSIS +# +# AX_PROG_CC_FOR_BUILD +# +# DESCRIPTION +# +# This macro searches for a C compiler that generates native executables, +# that is a C compiler that surely is not a cross-compiler. This can be +# useful if you have to generate source code at compile-time like for +# example GCC does. +# +# The macro sets the CC_FOR_BUILD and CPP_FOR_BUILD macros to anything +# needed to compile or link (CC_FOR_BUILD) and preprocess (CPP_FOR_BUILD). +# The value of these variables can be overridden by the user by specifying +# a compiler with an environment variable (like you do for standard CC). +# +# It also sets BUILD_EXEEXT and BUILD_OBJEXT to the executable and object +# file extensions for the build platform, and GCC_FOR_BUILD to `yes' if +# the compiler we found is GCC. All these variables but GCC_FOR_BUILD are +# substituted in the Makefile. +# +# LICENSE +# +# Copyright (c) 2008 Paolo Bonzini <bonzini@gnu.org> +# +# Copying and distribution of this file, with or without modification, are +# permitted in any medium without royalty provided the copyright notice +# and this notice are preserved. This file is offered as-is, without any +# warranty. + +#serial 8 + +AU_ALIAS([AC_PROG_CC_FOR_BUILD], [AX_PROG_CC_FOR_BUILD]) +AC_DEFUN([AX_PROG_CC_FOR_BUILD], [dnl +AC_REQUIRE([AC_PROG_CC])dnl +AC_REQUIRE([AC_PROG_CPP])dnl +AC_REQUIRE([AC_EXEEXT])dnl +AC_REQUIRE([AC_CANONICAL_HOST])dnl + +dnl Use the standard macros, but make them use other variable names +dnl +pushdef([ac_cv_prog_CPP], ac_cv_build_prog_CPP)dnl +pushdef([ac_cv_prog_gcc], ac_cv_build_prog_gcc)dnl +pushdef([ac_cv_prog_cc_works], ac_cv_build_prog_cc_works)dnl +pushdef([ac_cv_prog_cc_cross], ac_cv_build_prog_cc_cross)dnl +pushdef([ac_cv_prog_cc_g], ac_cv_build_prog_cc_g)dnl +pushdef([ac_cv_exeext], ac_cv_build_exeext)dnl +pushdef([ac_cv_objext], ac_cv_build_objext)dnl +pushdef([ac_exeext], ac_build_exeext)dnl +pushdef([ac_objext], ac_build_objext)dnl +pushdef([CC], CC_FOR_BUILD)dnl +pushdef([CPP], CPP_FOR_BUILD)dnl +pushdef([CFLAGS], CFLAGS_FOR_BUILD)dnl +pushdef([CPPFLAGS], CPPFLAGS_FOR_BUILD)dnl +pushdef([LDFLAGS], LDFLAGS_FOR_BUILD)dnl +pushdef([host], build)dnl +pushdef([host_alias], build_alias)dnl +pushdef([host_cpu], build_cpu)dnl +pushdef([host_vendor], build_vendor)dnl +pushdef([host_os], build_os)dnl +pushdef([ac_cv_host], ac_cv_build)dnl +pushdef([ac_cv_host_alias], ac_cv_build_alias)dnl +pushdef([ac_cv_host_cpu], ac_cv_build_cpu)dnl +pushdef([ac_cv_host_vendor], ac_cv_build_vendor)dnl +pushdef([ac_cv_host_os], ac_cv_build_os)dnl +pushdef([ac_cpp], ac_build_cpp)dnl +pushdef([ac_compile], ac_build_compile)dnl +pushdef([ac_link], ac_build_link)dnl + +save_cross_compiling=$cross_compiling +save_ac_tool_prefix=$ac_tool_prefix +cross_compiling=no +ac_tool_prefix= + +AC_PROG_CC +AC_PROG_CPP +AC_EXEEXT + +ac_tool_prefix=$save_ac_tool_prefix +cross_compiling=$save_cross_compiling + +dnl Restore the old definitions +dnl +popdef([ac_link])dnl +popdef([ac_compile])dnl +popdef([ac_cpp])dnl +popdef([ac_cv_host_os])dnl +popdef([ac_cv_host_vendor])dnl +popdef([ac_cv_host_cpu])dnl +popdef([ac_cv_host_alias])dnl +popdef([ac_cv_host])dnl +popdef([host_os])dnl +popdef([host_vendor])dnl +popdef([host_cpu])dnl +popdef([host_alias])dnl +popdef([host])dnl +popdef([LDFLAGS])dnl +popdef([CPPFLAGS])dnl +popdef([CFLAGS])dnl +popdef([CPP])dnl +popdef([CC])dnl +popdef([ac_objext])dnl +popdef([ac_exeext])dnl +popdef([ac_cv_objext])dnl +popdef([ac_cv_exeext])dnl +popdef([ac_cv_prog_cc_g])dnl +popdef([ac_cv_prog_cc_cross])dnl +popdef([ac_cv_prog_cc_works])dnl +popdef([ac_cv_prog_gcc])dnl +popdef([ac_cv_prog_CPP])dnl + +dnl Finally, set Makefile variables +dnl +BUILD_EXEEXT=$ac_build_exeext +BUILD_OBJEXT=$ac_build_objext +AC_SUBST(BUILD_EXEEXT)dnl +AC_SUBST(BUILD_OBJEXT)dnl +AC_SUBST([CFLAGS_FOR_BUILD])dnl +AC_SUBST([CPPFLAGS_FOR_BUILD])dnl +AC_SUBST([LDFLAGS_FOR_BUILD])dnl +]) diff --git a/crypto/secp256k1/libsecp256k1/build-aux/m4/bitcoin_secp.m4 b/crypto/secp256k1/libsecp256k1/build-aux/m4/bitcoin_secp.m4 new file mode 100644 index 000000000..b74acb8c1 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/build-aux/m4/bitcoin_secp.m4 @@ -0,0 +1,69 @@ +dnl libsecp25k1 helper checks +AC_DEFUN([SECP_INT128_CHECK],[ +has_int128=$ac_cv_type___int128 +]) + +dnl escape "$0x" below using the m4 quadrigaph @S|@, and escape it again with a \ for the shell. +AC_DEFUN([SECP_64BIT_ASM_CHECK],[ +AC_MSG_CHECKING(for x86_64 assembly availability) +AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ + #include <stdint.h>]],[[ + uint64_t a = 11, tmp; + __asm__ __volatile__("movq \@S|@0x100000000,%1; mulq %%rsi" : "+a"(a) : "S"(tmp) : "cc", "%rdx"); + ]])],[has_64bit_asm=yes],[has_64bit_asm=no]) +AC_MSG_RESULT([$has_64bit_asm]) +]) + +dnl +AC_DEFUN([SECP_OPENSSL_CHECK],[ + has_libcrypto=no + m4_ifdef([PKG_CHECK_MODULES],[ + PKG_CHECK_MODULES([CRYPTO], [libcrypto], [has_libcrypto=yes],[has_libcrypto=no]) + if test x"$has_libcrypto" = x"yes"; then + TEMP_LIBS="$LIBS" + LIBS="$LIBS $CRYPTO_LIBS" + AC_CHECK_LIB(crypto, main,[AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed])],[has_libcrypto=no]) + LIBS="$TEMP_LIBS" + fi + ]) + if test x$has_libcrypto = xno; then + AC_CHECK_HEADER(openssl/crypto.h,[ + AC_CHECK_LIB(crypto, main,[ + has_libcrypto=yes + CRYPTO_LIBS=-lcrypto + AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed]) + ]) + ]) + LIBS= + fi +if test x"$has_libcrypto" = x"yes" && test x"$has_openssl_ec" = x; then + AC_MSG_CHECKING(for EC functions in libcrypto) + AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[ + #include <openssl/ec.h> + #include <openssl/ecdsa.h> + #include <openssl/obj_mac.h>]],[[ + EC_KEY *eckey = EC_KEY_new_by_curve_name(NID_secp256k1); + ECDSA_sign(0, NULL, 0, NULL, NULL, eckey); + ECDSA_verify(0, NULL, 0, NULL, 0, eckey); + EC_KEY_free(eckey); + ECDSA_SIG *sig_openssl; + sig_openssl = ECDSA_SIG_new(); + (void)sig_openssl->r; + ECDSA_SIG_free(sig_openssl); + ]])],[has_openssl_ec=yes],[has_openssl_ec=no]) + AC_MSG_RESULT([$has_openssl_ec]) +fi +]) + +dnl +AC_DEFUN([SECP_GMP_CHECK],[ +if test x"$has_gmp" != x"yes"; then + CPPFLAGS_TEMP="$CPPFLAGS" + CPPFLAGS="$GMP_CPPFLAGS $CPPFLAGS" + LIBS_TEMP="$LIBS" + LIBS="$GMP_LIBS $LIBS" + AC_CHECK_HEADER(gmp.h,[AC_CHECK_LIB(gmp, __gmpz_init,[has_gmp=yes; GMP_LIBS="$GMP_LIBS -lgmp"; AC_DEFINE(HAVE_LIBGMP,1,[Define this symbol if libgmp is installed])])]) + CPPFLAGS="$CPPFLAGS_TEMP" + LIBS="$LIBS_TEMP" +fi +]) diff --git a/crypto/secp256k1/libsecp256k1/configure.ac b/crypto/secp256k1/libsecp256k1/configure.ac index 786d8dcfb..e5fcbcb4e 100644 --- a/crypto/secp256k1/libsecp256k1/configure.ac +++ b/crypto/secp256k1/libsecp256k1/configure.ac @@ -20,7 +20,7 @@ AC_PATH_TOOL(STRIP, strip) AX_PROG_CC_FOR_BUILD if test "x$CFLAGS" = "x"; then - CFLAGS="-O3 -g" + CFLAGS="-g" fi AM_PROG_CC_C_O @@ -29,6 +29,7 @@ AC_PROG_CC_C89 if test x"$ac_cv_prog_cc_c89" = x"no"; then AC_MSG_ERROR([c89 compiler support required]) fi +AM_PROG_AS case $host_os in *darwin*) @@ -88,36 +89,56 @@ AC_ARG_ENABLE(benchmark, [use_benchmark=$enableval], [use_benchmark=no]) +AC_ARG_ENABLE(coverage, + AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis]), + [enable_coverage=$enableval], + [enable_coverage=no]) + AC_ARG_ENABLE(tests, AS_HELP_STRING([--enable-tests],[compile tests (default is yes)]), [use_tests=$enableval], [use_tests=yes]) +AC_ARG_ENABLE(openssl_tests, + AS_HELP_STRING([--enable-openssl-tests],[enable OpenSSL tests, if OpenSSL is available (default is auto)]), + [enable_openssl_tests=$enableval], + [enable_openssl_tests=auto]) + +AC_ARG_ENABLE(experimental, + AS_HELP_STRING([--enable-experimental],[allow experimental configure options (default is no)]), + [use_experimental=$enableval], + [use_experimental=no]) + +AC_ARG_ENABLE(exhaustive_tests, + AS_HELP_STRING([--enable-exhaustive-tests],[compile exhaustive tests (default is yes)]), + [use_exhaustive_tests=$enableval], + [use_exhaustive_tests=yes]) + AC_ARG_ENABLE(endomorphism, AS_HELP_STRING([--enable-endomorphism],[enable endomorphism (default is no)]), [use_endomorphism=$enableval], [use_endomorphism=no]) - + AC_ARG_ENABLE(ecmult_static_precomputation, AS_HELP_STRING([--enable-ecmult-static-precomputation],[enable precomputed ecmult table for signing (default is yes)]), [use_ecmult_static_precomputation=$enableval], - [use_ecmult_static_precomputation=yes]) + [use_ecmult_static_precomputation=auto]) AC_ARG_ENABLE(module_ecdh, - AS_HELP_STRING([--enable-module-ecdh],[enable ECDH shared secret computation (default is no)]), + AS_HELP_STRING([--enable-module-ecdh],[enable ECDH shared secret computation (experimental)]), [enable_module_ecdh=$enableval], [enable_module_ecdh=no]) -AC_ARG_ENABLE(module_schnorr, - AS_HELP_STRING([--enable-module-schnorr],[enable Schnorr signature module (default is no)]), - [enable_module_schnorr=$enableval], - [enable_module_schnorr=no]) - AC_ARG_ENABLE(module_recovery, AS_HELP_STRING([--enable-module-recovery],[enable ECDSA pubkey recovery module (default is no)]), [enable_module_recovery=$enableval], [enable_module_recovery=no]) +AC_ARG_ENABLE(jni, + AS_HELP_STRING([--enable-jni],[enable libsecp256k1_jni (default is auto)]), + [use_jni=$enableval], + [use_jni=auto]) + AC_ARG_WITH([field], [AS_HELP_STRING([--with-field=64bit|32bit|auto], [Specify Field Implementation. Default is auto])],[req_field=$withval], [req_field=auto]) @@ -127,8 +148,8 @@ AC_ARG_WITH([bignum], [AS_HELP_STRING([--with-bignum=gmp|no|auto], AC_ARG_WITH([scalar], [AS_HELP_STRING([--with-scalar=64bit|32bit|auto], [Specify scalar implementation. Default is auto])],[req_scalar=$withval], [req_scalar=auto]) -AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|no|auto] -[Specify assembly optimizations to use. Default is auto])],[req_asm=$withval], [req_asm=auto]) +AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto] +[Specify assembly optimizations to use. Default is auto (experimental: arm)])],[req_asm=$withval], [req_asm=auto]) AC_CHECK_TYPES([__int128]) @@ -138,6 +159,42 @@ AC_COMPILE_IFELSE([AC_LANG_SOURCE([[void myfunc() {__builtin_expect(0,0);}]])], [ AC_MSG_RESULT([no]) ]) +if test x"$enable_coverage" = x"yes"; then + AC_DEFINE(COVERAGE, 1, [Define this symbol to compile out all VERIFY code]) + CFLAGS="$CFLAGS -O0 --coverage" + LDFLAGS="--coverage" +else + CFLAGS="$CFLAGS -O3" +fi + +if test x"$use_ecmult_static_precomputation" != x"no"; then + save_cross_compiling=$cross_compiling + cross_compiling=no + TEMP_CC="$CC" + CC="$CC_FOR_BUILD" + AC_MSG_CHECKING([native compiler: ${CC_FOR_BUILD}]) + AC_RUN_IFELSE( + [AC_LANG_PROGRAM([], [return 0])], + [working_native_cc=yes], + [working_native_cc=no],[dnl]) + CC="$TEMP_CC" + cross_compiling=$save_cross_compiling + + if test x"$working_native_cc" = x"no"; then + set_precomp=no + if test x"$use_ecmult_static_precomputation" = x"yes"; then + AC_MSG_ERROR([${CC_FOR_BUILD} does not produce working binaries. Please set CC_FOR_BUILD]) + else + AC_MSG_RESULT([${CC_FOR_BUILD} does not produce working binaries. Please set CC_FOR_BUILD]) + fi + else + AC_MSG_RESULT([ok]) + set_precomp=yes + fi +else + set_precomp=no +fi + if test x"$req_asm" = x"auto"; then SECP_64BIT_ASM_CHECK if test x"$has_64bit_asm" = x"yes"; then @@ -155,6 +212,8 @@ else AC_MSG_ERROR([x86_64 assembly optimization requested but not available]) fi ;; + arm) + ;; no) ;; *) @@ -247,10 +306,15 @@ else fi # select assembly optimization +use_external_asm=no + case $set_asm in x86_64) AC_DEFINE(USE_ASM_X86_64, 1, [Define this symbol to enable x86_64 assembly optimizations]) ;; +arm) + use_external_asm=yes + ;; no) ;; *) @@ -305,16 +369,48 @@ esac if test x"$use_tests" = x"yes"; then SECP_OPENSSL_CHECK if test x"$has_openssl_ec" = x"yes"; then - AC_DEFINE(ENABLE_OPENSSL_TESTS, 1, [Define this symbol if OpenSSL EC functions are available]) - SECP_TEST_INCLUDES="$SSL_CFLAGS $CRYPTO_CFLAGS" - SECP_TEST_LIBS="$CRYPTO_LIBS" - - case $host in - *mingw*) - SECP_TEST_LIBS="$SECP_TEST_LIBS -lgdi32" - ;; - esac + if test x"$enable_openssl_tests" != x"no"; then + AC_DEFINE(ENABLE_OPENSSL_TESTS, 1, [Define this symbol if OpenSSL EC functions are available]) + SECP_TEST_INCLUDES="$SSL_CFLAGS $CRYPTO_CFLAGS" + SECP_TEST_LIBS="$CRYPTO_LIBS" + + case $host in + *mingw*) + SECP_TEST_LIBS="$SECP_TEST_LIBS -lgdi32" + ;; + esac + fi + else + if test x"$enable_openssl_tests" = x"yes"; then + AC_MSG_ERROR([OpenSSL tests requested but OpenSSL with EC support is not available]) + fi + fi +else + if test x"$enable_openssl_tests" = x"yes"; then + AC_MSG_ERROR([OpenSSL tests requested but tests are not enabled]) + fi +fi +if test x"$use_jni" != x"no"; then + AX_JNI_INCLUDE_DIR + have_jni_dependencies=yes + if test x"$enable_module_ecdh" = x"no"; then + have_jni_dependencies=no + fi + if test "x$JNI_INCLUDE_DIRS" = "x"; then + have_jni_dependencies=no + fi + if test "x$have_jni_dependencies" = "xno"; then + if test x"$use_jni" = x"yes"; then + AC_MSG_ERROR([jni support explicitly requested but headers/dependencies were not found. Enable ECDH and try again.]) + fi + AC_MSG_WARN([jni headers/dependencies not found. jni support disabled]) + use_jni=no + else + use_jni=yes + for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS; do + JNI_INCLUDES="$JNI_INCLUDES -I$JNI_INCLUDE_DIR" + done fi fi @@ -327,7 +423,7 @@ if test x"$use_endomorphism" = x"yes"; then AC_DEFINE(USE_ENDOMORPHISM, 1, [Define this symbol to use endomorphism optimization]) fi -if test x"$use_ecmult_static_precomputation" = x"yes"; then +if test x"$set_precomp" = x"yes"; then AC_DEFINE(USE_ECMULT_STATIC_PRECOMPUTATION, 1, [Define this symbol to use a statically generated ecmult table]) fi @@ -335,38 +431,59 @@ if test x"$enable_module_ecdh" = x"yes"; then AC_DEFINE(ENABLE_MODULE_ECDH, 1, [Define this symbol to enable the ECDH module]) fi -if test x"$enable_module_schnorr" = x"yes"; then - AC_DEFINE(ENABLE_MODULE_SCHNORR, 1, [Define this symbol to enable the Schnorr signature module]) -fi - if test x"$enable_module_recovery" = x"yes"; then AC_DEFINE(ENABLE_MODULE_RECOVERY, 1, [Define this symbol to enable the ECDSA pubkey recovery module]) fi AC_C_BIGENDIAN() +if test x"$use_external_asm" = x"yes"; then + AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used]) +fi + +AC_MSG_NOTICE([Using static precomputation: $set_precomp]) AC_MSG_NOTICE([Using assembly optimizations: $set_asm]) AC_MSG_NOTICE([Using field implementation: $set_field]) AC_MSG_NOTICE([Using bignum implementation: $set_bignum]) AC_MSG_NOTICE([Using scalar implementation: $set_scalar]) AC_MSG_NOTICE([Using endomorphism optimizations: $use_endomorphism]) +AC_MSG_NOTICE([Building for coverage analysis: $enable_coverage]) AC_MSG_NOTICE([Building ECDH module: $enable_module_ecdh]) - -AC_MSG_NOTICE([Building Schnorr signatures module: $enable_module_schnorr]) AC_MSG_NOTICE([Building ECDSA pubkey recovery module: $enable_module_recovery]) +AC_MSG_NOTICE([Using jni: $use_jni]) + +if test x"$enable_experimental" = x"yes"; then + AC_MSG_NOTICE([******]) + AC_MSG_NOTICE([WARNING: experimental build]) + AC_MSG_NOTICE([Experimental features do not have stable APIs or properties, and may not be safe for production use.]) + AC_MSG_NOTICE([Building ECDH module: $enable_module_ecdh]) + AC_MSG_NOTICE([******]) +else + if test x"$enable_module_ecdh" = x"yes"; then + AC_MSG_ERROR([ECDH module is experimental. Use --enable-experimental to allow.]) + fi + if test x"$set_asm" = x"arm"; then + AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.]) + fi +fi AC_CONFIG_HEADERS([src/libsecp256k1-config.h]) AC_CONFIG_FILES([Makefile libsecp256k1.pc]) +AC_SUBST(JNI_INCLUDES) AC_SUBST(SECP_INCLUDES) AC_SUBST(SECP_LIBS) AC_SUBST(SECP_TEST_LIBS) AC_SUBST(SECP_TEST_INCLUDES) +AM_CONDITIONAL([ENABLE_COVERAGE], [test x"$enable_coverage" = x"yes"]) AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"]) +AM_CONDITIONAL([USE_EXHAUSTIVE_TESTS], [test x"$use_exhaustive_tests" != x"no"]) AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"]) -AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$use_ecmult_static_precomputation" = x"yes"]) +AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$set_precomp" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"]) -AM_CONDITIONAL([ENABLE_MODULE_SCHNORR], [test x"$enable_module_schnorr" = x"yes"]) AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"]) +AM_CONDITIONAL([USE_JNI], [test x"$use_jni" == x"yes"]) +AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$use_external_asm" = x"yes"]) +AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"]) dnl make sure nothing new is exported so that we don't break the cache PKGCONFIG_PATH_TEMP="$PKG_CONFIG_PATH" diff --git a/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.c b/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.c new file mode 100644 index 000000000..5b141a994 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.c @@ -0,0 +1,150 @@ +/********************************************************************** + * Copyright (c) 2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#include <string.h> +#include <secp256k1.h> + +#include "lax_der_parsing.h" + +int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) { + size_t rpos, rlen, spos, slen; + size_t pos = 0; + size_t lenbyte; + unsigned char tmpsig[64] = {0}; + int overflow = 0; + + /* Hack to initialize sig with a correctly-parsed but invalid signature. */ + secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); + + /* Sequence tag byte */ + if (pos == inputlen || input[pos] != 0x30) { + return 0; + } + pos++; + + /* Sequence length bytes */ + if (pos == inputlen) { + return 0; + } + lenbyte = input[pos++]; + if (lenbyte & 0x80) { + lenbyte -= 0x80; + if (pos + lenbyte > inputlen) { + return 0; + } + pos += lenbyte; + } + + /* Integer tag byte for R */ + if (pos == inputlen || input[pos] != 0x02) { + return 0; + } + pos++; + + /* Integer length for R */ + if (pos == inputlen) { + return 0; + } + lenbyte = input[pos++]; + if (lenbyte & 0x80) { + lenbyte -= 0x80; + if (pos + lenbyte > inputlen) { + return 0; + } + while (lenbyte > 0 && input[pos] == 0) { + pos++; + lenbyte--; + } + if (lenbyte >= sizeof(size_t)) { + return 0; + } + rlen = 0; + while (lenbyte > 0) { + rlen = (rlen << 8) + input[pos]; + pos++; + lenbyte--; + } + } else { + rlen = lenbyte; + } + if (rlen > inputlen - pos) { + return 0; + } + rpos = pos; + pos += rlen; + + /* Integer tag byte for S */ + if (pos == inputlen || input[pos] != 0x02) { + return 0; + } + pos++; + + /* Integer length for S */ + if (pos == inputlen) { + return 0; + } + lenbyte = input[pos++]; + if (lenbyte & 0x80) { + lenbyte -= 0x80; + if (pos + lenbyte > inputlen) { + return 0; + } + while (lenbyte > 0 && input[pos] == 0) { + pos++; + lenbyte--; + } + if (lenbyte >= sizeof(size_t)) { + return 0; + } + slen = 0; + while (lenbyte > 0) { + slen = (slen << 8) + input[pos]; + pos++; + lenbyte--; + } + } else { + slen = lenbyte; + } + if (slen > inputlen - pos) { + return 0; + } + spos = pos; + pos += slen; + + /* Ignore leading zeroes in R */ + while (rlen > 0 && input[rpos] == 0) { + rlen--; + rpos++; + } + /* Copy R value */ + if (rlen > 32) { + overflow = 1; + } else { + memcpy(tmpsig + 32 - rlen, input + rpos, rlen); + } + + /* Ignore leading zeroes in S */ + while (slen > 0 && input[spos] == 0) { + slen--; + spos++; + } + /* Copy S value */ + if (slen > 32) { + overflow = 1; + } else { + memcpy(tmpsig + 64 - slen, input + spos, slen); + } + + if (!overflow) { + overflow = !secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); + } + if (overflow) { + memset(tmpsig, 0, 64); + secp256k1_ecdsa_signature_parse_compact(ctx, sig, tmpsig); + } + return 1; +} + diff --git a/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.h b/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.h new file mode 100644 index 000000000..6d27871a7 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.h @@ -0,0 +1,91 @@ +/********************************************************************** + * Copyright (c) 2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +/**** + * Please do not link this file directly. It is not part of the libsecp256k1 + * project and does not promise any stability in its API, functionality or + * presence. Projects which use this code should instead copy this header + * and its accompanying .c file directly into their codebase. + ****/ + +/* This file defines a function that parses DER with various errors and + * violations. This is not a part of the library itself, because the allowed + * violations are chosen arbitrarily and do not follow or establish any + * standard. + * + * In many places it matters that different implementations do not only accept + * the same set of valid signatures, but also reject the same set of signatures. + * The only means to accomplish that is by strictly obeying a standard, and not + * accepting anything else. + * + * Nonetheless, sometimes there is a need for compatibility with systems that + * use signatures which do not strictly obey DER. The snippet below shows how + * certain violations are easily supported. You may need to adapt it. + * + * Do not use this for new systems. Use well-defined DER or compact signatures + * instead if you have the choice (see secp256k1_ecdsa_signature_parse_der and + * secp256k1_ecdsa_signature_parse_compact). + * + * The supported violations are: + * - All numbers are parsed as nonnegative integers, even though X.609-0207 + * section 8.3.3 specifies that integers are always encoded as two's + * complement. + * - Integers can have length 0, even though section 8.3.1 says they can't. + * - Integers with overly long padding are accepted, violation section + * 8.3.2. + * - 127-byte long length descriptors are accepted, even though section + * 8.1.3.5.c says that they are not. + * - Trailing garbage data inside or after the signature is ignored. + * - The length descriptor of the sequence is ignored. + * + * Compared to for example OpenSSL, many violations are NOT supported: + * - Using overly long tag descriptors for the sequence or integers inside, + * violating section 8.1.2.2. + * - Encoding primitive integers as constructed values, violating section + * 8.3.1. + */ + +#ifndef _SECP256K1_CONTRIB_LAX_DER_PARSING_H_ +#define _SECP256K1_CONTRIB_LAX_DER_PARSING_H_ + +#include <secp256k1.h> + +# ifdef __cplusplus +extern "C" { +# endif + +/** Parse a signature in "lax DER" format + * + * Returns: 1 when the signature could be parsed, 0 otherwise. + * Args: ctx: a secp256k1 context object + * Out: sig: a pointer to a signature object + * In: input: a pointer to the signature to be parsed + * inputlen: the length of the array pointed to be input + * + * This function will accept any valid DER encoded signature, even if the + * encoded numbers are out of range. In addition, it will accept signatures + * which violate the DER spec in various ways. Its purpose is to allow + * validation of the Bitcoin blockchain, which includes non-DER signatures + * from before the network rules were updated to enforce DER. Note that + * the set of supported violations is a strict subset of what OpenSSL will + * accept. + * + * After the call, sig will always be initialized. If parsing failed or the + * encoded numbers are out of range, signature validation with it is + * guaranteed to fail for every message and public key. + */ +int ecdsa_signature_parse_der_lax( + const secp256k1_context* ctx, + secp256k1_ecdsa_signature* sig, + const unsigned char *input, + size_t inputlen +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.c b/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.c new file mode 100644 index 000000000..c2e63b4b8 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.c @@ -0,0 +1,113 @@ +/********************************************************************** + * Copyright (c) 2014, 2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#include <string.h> +#include <secp256k1.h> + +#include "lax_der_privatekey_parsing.h" + +int ec_privkey_import_der(const secp256k1_context* ctx, unsigned char *out32, const unsigned char *privkey, size_t privkeylen) { + const unsigned char *end = privkey + privkeylen; + int lenb = 0; + int len = 0; + memset(out32, 0, 32); + /* sequence header */ + if (end < privkey+1 || *privkey != 0x30) { + return 0; + } + privkey++; + /* sequence length constructor */ + if (end < privkey+1 || !(*privkey & 0x80)) { + return 0; + } + lenb = *privkey & ~0x80; privkey++; + if (lenb < 1 || lenb > 2) { + return 0; + } + if (end < privkey+lenb) { + return 0; + } + /* sequence length */ + len = privkey[lenb-1] | (lenb > 1 ? privkey[lenb-2] << 8 : 0); + privkey += lenb; + if (end < privkey+len) { + return 0; + } + /* sequence element 0: version number (=1) */ + if (end < privkey+3 || privkey[0] != 0x02 || privkey[1] != 0x01 || privkey[2] != 0x01) { + return 0; + } + privkey += 3; + /* sequence element 1: octet string, up to 32 bytes */ + if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) { + return 0; + } + memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]); + if (!secp256k1_ec_seckey_verify(ctx, out32)) { + memset(out32, 0, 32); + return 0; + } + return 1; +} + +int ec_privkey_export_der(const secp256k1_context *ctx, unsigned char *privkey, size_t *privkeylen, const unsigned char *key32, int compressed) { + secp256k1_pubkey pubkey; + size_t pubkeylen = 0; + if (!secp256k1_ec_pubkey_create(ctx, &pubkey, key32)) { + *privkeylen = 0; + return 0; + } + if (compressed) { + static const unsigned char begin[] = { + 0x30,0x81,0xD3,0x02,0x01,0x01,0x04,0x20 + }; + static const unsigned char middle[] = { + 0xA0,0x81,0x85,0x30,0x81,0x82,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, + 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, + 0x21,0x02,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, + 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, + 0x17,0x98,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, + 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x24,0x03,0x22,0x00 + }; + unsigned char *ptr = privkey; + memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); + memcpy(ptr, key32, 32); ptr += 32; + memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); + pubkeylen = 33; + secp256k1_ec_pubkey_serialize(ctx, ptr, &pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED); + ptr += pubkeylen; + *privkeylen = ptr - privkey; + } else { + static const unsigned char begin[] = { + 0x30,0x82,0x01,0x13,0x02,0x01,0x01,0x04,0x20 + }; + static const unsigned char middle[] = { + 0xA0,0x81,0xA5,0x30,0x81,0xA2,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, + 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, + 0x41,0x04,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, + 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, + 0x17,0x98,0x48,0x3A,0xDA,0x77,0x26,0xA3,0xC4,0x65,0x5D,0xA4,0xFB,0xFC,0x0E,0x11, + 0x08,0xA8,0xFD,0x17,0xB4,0x48,0xA6,0x85,0x54,0x19,0x9C,0x47,0xD0,0x8F,0xFB,0x10, + 0xD4,0xB8,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, + 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, + 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x44,0x03,0x42,0x00 + }; + unsigned char *ptr = privkey; + memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); + memcpy(ptr, key32, 32); ptr += 32; + memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); + pubkeylen = 65; + secp256k1_ec_pubkey_serialize(ctx, ptr, &pubkeylen, &pubkey, SECP256K1_EC_UNCOMPRESSED); + ptr += pubkeylen; + *privkeylen = ptr - privkey; + } + return 1; +} diff --git a/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.h b/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.h new file mode 100644 index 000000000..2fd088f8a --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.h @@ -0,0 +1,90 @@ +/********************************************************************** + * Copyright (c) 2014, 2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +/**** + * Please do not link this file directly. It is not part of the libsecp256k1 + * project and does not promise any stability in its API, functionality or + * presence. Projects which use this code should instead copy this header + * and its accompanying .c file directly into their codebase. + ****/ + +/* This file contains code snippets that parse DER private keys with + * various errors and violations. This is not a part of the library + * itself, because the allowed violations are chosen arbitrarily and + * do not follow or establish any standard. + * + * It also contains code to serialize private keys in a compatible + * manner. + * + * These functions are meant for compatibility with applications + * that require BER encoded keys. When working with secp256k1-specific + * code, the simple 32-byte private keys normally used by the + * library are sufficient. + */ + +#ifndef _SECP256K1_CONTRIB_BER_PRIVATEKEY_H_ +#define _SECP256K1_CONTRIB_BER_PRIVATEKEY_H_ + +#include <secp256k1.h> + +# ifdef __cplusplus +extern "C" { +# endif + +/** 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) + * 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 + * privkey will be stored. + * In: seckey: pointer to a 32-byte secret key to export. + * compressed: 1 if the key should be exported in + * compressed format, 0 otherwise + * + * This function is purely meant for compatibility with applications that + * require BER encoded keys. When working with secp256k1-specific code, the + * simple 32-byte private keys are sufficient. + * + * Note that this function does not guarantee correct DER output. It is + * guaranteed to be parsable by secp256k1_ec_privkey_import_der + */ +SECP256K1_WARN_UNUSED_RESULT int ec_privkey_export_der( + const secp256k1_context* ctx, + unsigned char *privkey, + size_t *privkeylen, + const unsigned char *seckey, + int compressed +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); + +/** Import a private key in DER format. + * Returns: 1 if a private key was extracted. + * Args: ctx: pointer to a context object (cannot be NULL). + * Out: seckey: pointer to a 32-byte array for storing the private key. + * (cannot be NULL). + * In: privkey: pointer to a private key in DER format (cannot be NULL). + * privkeylen: length of the DER private key pointed to be privkey. + * + * This function will accept more than just strict DER, and even allow some BER + * violations. The public key stored inside the DER-encoded private key is not + * verified for correctness, nor are the curve parameters. Use this function + * only if you know in advance it is supposed to contain a secp256k1 private + * key. + */ +SECP256K1_WARN_UNUSED_RESULT int ec_privkey_import_der( + const secp256k1_context* ctx, + unsigned char *seckey, + const unsigned char *privkey, + size_t privkeylen +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/crypto/secp256k1/libsecp256k1/include/secp256k1.h b/crypto/secp256k1/libsecp256k1/include/secp256k1.h index 23378de1f..f268e309d 100644 --- a/crypto/secp256k1/libsecp256k1/include/secp256k1.h +++ b/crypto/secp256k1/libsecp256k1/include/secp256k1.h @@ -47,11 +47,8 @@ typedef struct secp256k1_context_struct secp256k1_context; * The exact representation of data inside is implementation defined and not * guaranteed to be portable between different platforms or versions. It is * however guaranteed to be 64 bytes in size, and can be safely copied/moved. - * If you need to convert to a format suitable for storage or transmission, use - * secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. - * - * Furthermore, it is guaranteed that identical public keys (ignoring - * compression) will have identical representation, so they can be memcmp'ed. + * If you need to convert to a format suitable for storage, transmission, or + * comparison, use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. */ typedef struct { unsigned char data[64]; @@ -62,12 +59,9 @@ typedef struct { * The exact representation of data inside is implementation defined and not * guaranteed to be portable between different platforms or versions. It is * however guaranteed to be 64 bytes in size, and can be safely copied/moved. - * If you need to convert to a format suitable for storage or transmission, use - * the secp256k1_ecdsa_signature_serialize_* and + * If you need to convert to a format suitable for storage, transmission, or + * comparison, use the secp256k1_ecdsa_signature_serialize_* and * secp256k1_ecdsa_signature_serialize_* functions. - * - * Furthermore, it is guaranteed to identical signatures will have identical - * representation, so they can be memcmp'ed. */ typedef struct { unsigned char data[64]; @@ -147,12 +141,23 @@ typedef int (*secp256k1_nonce_function)( # define SECP256K1_ARG_NONNULL(_x) # endif +/** 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. */ +#define SECP256K1_FLAGS_BIT_CONTEXT_VERIFY (1 << 8) +#define SECP256K1_FLAGS_BIT_CONTEXT_SIGN (1 << 9) +#define SECP256K1_FLAGS_BIT_COMPRESSION (1 << 8) + /** Flags to pass to secp256k1_context_create. */ -# define SECP256K1_CONTEXT_VERIFY (1 << 0) -# define SECP256K1_CONTEXT_SIGN (1 << 1) +#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) +#define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT) /** Flag to pass to secp256k1_ec_pubkey_serialize and secp256k1_ec_privkey_export. */ -# define SECP256K1_EC_COMPRESSED (1 << 0) +#define SECP256K1_EC_COMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION | SECP256K1_FLAGS_BIT_COMPRESSION) +#define SECP256K1_EC_UNCOMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION) /** Create a secp256k1 context object. * @@ -218,7 +223,7 @@ SECP256K1_API void secp256k1_context_set_illegal_callback( * crashing. * * Args: ctx: an existing context object (cannot be NULL) - * In: fun: a pointer to a function to call when an interal error occurs, + * In: fun: a pointer to a function to call when an internal error occurs, * taking a message and an opaque pointer (NULL restores a default * handler that calls abort). * data: the opaque pointer to pass to fun above. @@ -253,15 +258,17 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse( /** Serialize a pubkey object into a serialized byte sequence. * * Returns: 1 always. - * Args: ctx: a secp256k1 context object. - * Out: output: a pointer to a 65-byte (if compressed==0) or 33-byte (if - * compressed==1) byte array to place the serialized key in. - * outputlen: a pointer to an integer which will contain the serialized - * size. - * In: pubkey: a pointer to a secp256k1_pubkey containing an initialized - * public key. - * flags: SECP256K1_EC_COMPRESSED if serialization should be in - * compressed format. + * Args: ctx: a secp256k1 context object. + * Out: output: a pointer to a 65-byte (if compressed==0) or 33-byte (if + * compressed==1) byte array to place the serialized key + * in. + * In/Out: outputlen: a pointer to an integer which is initially set to the + * size of output, and is overwritten with the written + * size. + * In: pubkey: a pointer to a secp256k1_pubkey containing an + * initialized public key. + * flags: SECP256K1_EC_COMPRESSED if serialization should be in + * compressed format, otherwise SECP256K1_EC_UNCOMPRESSED. */ SECP256K1_API int secp256k1_ec_pubkey_serialize( const secp256k1_context* ctx, @@ -271,6 +278,27 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize( unsigned int flags ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); +/** Parse an ECDSA signature in compact (64 bytes) format. + * + * Returns: 1 when the signature could be parsed, 0 otherwise. + * Args: ctx: a secp256k1 context object + * Out: sig: a pointer to a signature object + * In: input64: a pointer to the 64-byte array to parse + * + * The signature must consist of a 32-byte big endian R value, followed by a + * 32-byte big endian S value. If R or S fall outside of [0..order-1], the + * 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. + */ +SECP256K1_API int secp256k1_ecdsa_signature_parse_compact( + const secp256k1_context* ctx, + secp256k1_ecdsa_signature* sig, + const unsigned char *input64 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + /** Parse a DER ECDSA signature. * * Returns: 1 when the signature could be parsed, 0 otherwise. @@ -279,7 +307,12 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize( * In: input: a pointer to the signature to be parsed * inputlen: the length of the array pointed to be input * - * Note that this function also supports some violations of DER and even BER. + * This function will accept any valid DER encoded signature, even if the + * 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 + * guaranteed to fail for every message and public key. */ SECP256K1_API int secp256k1_ecdsa_signature_parse_der( const secp256k1_context* ctx, @@ -306,6 +339,21 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_der( const secp256k1_ecdsa_signature* sig ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); +/** Serialize an ECDSA signature in compact (64 byte) format. + * + * Returns: 1 + * Args: ctx: a secp256k1 context object + * Out: output64: a pointer to a 64-byte array to store the compact serialization + * In: sig: a pointer to an initialized signature object + * + * See secp256k1_ecdsa_signature_parse_compact for details about the encoding. + */ +SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact( + const secp256k1_context* ctx, + unsigned char *output64, + const secp256k1_ecdsa_signature* sig +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); + /** Verify an ECDSA signature. * * Returns: 1: correct signature @@ -314,6 +362,15 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_der( * In: sig: the signature being verified (cannot be NULL) * msg32: the 32-byte message hash being verified (cannot be NULL) * pubkey: pointer to an initialized public key to verify with (cannot be NULL) + * + * To avoid accepting malleable signatures, only ECDSA signatures in lower-S + * form are accepted. + * + * 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. + * + * For details, see the comments for that function. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( const secp256k1_context* ctx, @@ -322,14 +379,62 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify( const secp256k1_pubkey *pubkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); +/** Convert a signature to a normalized lower-S form. + * + * Returns: 1 if sigin was not normalized, 0 if it already was. + * Args: ctx: a secp256k1 context object + * Out: sigout: a pointer to a signature to fill with the normalized form, + * or copy if the input was already normalized. (can be NULL if + * you're only interested in whether the input was already + * normalized). + * In: sigin: a pointer to a signature to check/normalize (cannot be NULL, + * can be identical to sigout) + * + * With ECDSA a third-party can forge a second distinct signature of the same + * message, given a single initial signature, but without knowing the key. This + * is done by negating the S value modulo the order of the curve, 'flipping' + * the sign of the random point R which is not included in the signature. + * + * Forgery of the same message isn't universally problematic, but in systems + * where message malleability or uniqueness of signatures is important this can + * cause issues. This forgery can be blocked by all verifiers forcing signers + * to use a normalized form. + * + * The lower-S form reduces the size of signatures slightly on average when + * variable length encodings (such as DER) are used and is cheap to verify, + * making it a good choice. Security of always using lower-S is assured because + * anyone can trivially modify a signature after the fact to enforce this + * property anyway. + * + * The lower S value is always between 0x1 and + * 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0, + * inclusive. + * + * No other forms of ECDSA malleability are known and none seem likely, but + * there is no formal proof that ECDSA, even with this additional restriction, + * is free of other malleability. Commonly used serialization schemes will also + * accept various non-unique encodings, so care should be taken when this + * property is required for an application. + * + * The secp256k1_ecdsa_sign function will by default create signatures in the + * lower-S form, and secp256k1_ecdsa_verify will not accept others. In case + * signatures come from a system that cannot enforce this property, + * secp256k1_ecdsa_signature_normalize must be called before verification. + */ +SECP256K1_API int secp256k1_ecdsa_signature_normalize( + const secp256k1_context* ctx, + secp256k1_ecdsa_signature *sigout, + const secp256k1_ecdsa_signature *sigin +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3); + /** An implementation of RFC6979 (using HMAC-SHA256) as nonce generation function. * If a data pointer is passed, it is assumed to be a pointer to 32 bytes of * extra entropy. */ -extern const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; +SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_rfc6979; /** A default safe nonce generation function (currently equal to secp256k1_nonce_function_rfc6979). */ -extern const secp256k1_nonce_function secp256k1_nonce_function_default; +SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_default; /** Create an ECDSA signature. * @@ -342,32 +447,8 @@ extern const secp256k1_nonce_function secp256k1_nonce_function_default; * noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used * ndata: pointer to arbitrary data used by the nonce generation function (can be NULL) * - * The sig always has an s value in the lower half of the range (From 0x1 - * to 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0, - * inclusive), unlike many other implementations. - * - * With ECDSA a third-party can can forge a second distinct signature - * of the same message given a single initial signature without knowing - * the key by setting s to its additive inverse mod-order, 'flipping' the - * sign of the random point R which is not included in the signature. - * Since the forgery is of the same message this isn't universally - * problematic, but in systems where message malleability or uniqueness - * of signatures is important this can cause issues. This forgery can be - * blocked by all verifiers forcing signers to use a canonical form. The - * lower-S form reduces the size of signatures slightly on average when - * variable length encodings (such as DER) are used and is cheap to - * verify, making it a good choice. Security of always using lower-S is - * assured because anyone can trivially modify a signature after the - * fact to enforce this property. Adjusting it inside the signing - * function avoids the need to re-serialize or have curve specific - * constants outside of the library. By always using a canonical form - * even in applications where it isn't needed it becomes possible to - * impose a requirement later if a need is discovered. - * No other forms of ECDSA malleability are known and none seem likely, - * but there is no formal proof that ECDSA, even with this additional - * restriction, is free of other malleability. Commonly used serialization - * schemes will also accept various non-unique encodings, so care should - * be taken when this property is required for an application. + * The created signature is always in lower-S form. See + * secp256k1_ecdsa_signature_normalize for more details. */ SECP256K1_API int secp256k1_ecdsa_sign( const secp256k1_context* ctx, @@ -404,55 +485,6 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create( const unsigned char *seckey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); -/** Export a private key in BER format. - * - * Returns: 1 if the private key was valid. - * Args: ctx: pointer to a context object, initialized for signing (cannot - * be NULL) - * 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 - * privkey will be stored. - * In: seckey: pointer to a 32-byte secret key to export. - * flags: SECP256K1_EC_COMPRESSED if the key should be exported in - * compressed format. - * - * This function is purely meant for compatibility with applications that - * require BER encoded keys. When working with secp256k1-specific code, the - * simple 32-byte private keys are sufficient. - * - * Note that this function does not guarantee correct DER output. It is - * guaranteed to be parsable by secp256k1_ec_privkey_import. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_export( - const secp256k1_context* ctx, - unsigned char *privkey, - size_t *privkeylen, - const unsigned char *seckey, - unsigned int flags -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); - -/** Import a private key in DER format. - * Returns: 1 if a private key was extracted. - * Args: ctx: pointer to a context object (cannot be NULL). - * Out: seckey: pointer to a 32-byte array for storing the private key. - * (cannot be NULL). - * In: privkey: pointer to a private key in DER format (cannot be NULL). - * privkeylen: length of the DER private key pointed to be privkey. - * - * This function will accept more than just strict DER, and even allow some BER - * violations. The public key stored inside the DER-encoded private key is not - * verified for correctness, nor are the curve parameters. Use this function - * only if you know in advance it is supposed to contain a secp256k1 private - * key. - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_import( - const secp256k1_context* ctx, - unsigned char *seckey, - const unsigned char *privkey, - size_t privkeylen -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - /** Tweak a private key by adding tweak to it. * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for * uniformly random 32-byte arrays, or if the resulting private key @@ -526,18 +558,16 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize( * Returns: 1: the sum of the public keys is valid. * 0: the sum of the public keys is not valid. * Args: ctx: pointer to a context object - * Out: out: pointer to pubkey for placing the resulting public key + * Out: out: pointer to a public key object for placing the resulting public key * (cannot be NULL) * In: ins: pointer to array of pointers to public keys (cannot be NULL) * n: the number of public keys to add together (must be at least 1) - * Use secp256k1_ec_pubkey_compress and secp256k1_ec_pubkey_decompress if the - * uncompressed format is needed. */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine( const secp256k1_context* ctx, secp256k1_pubkey *out, const secp256k1_pubkey * const * ins, - int n + size_t n ) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); # ifdef __cplusplus diff --git a/crypto/secp256k1/libsecp256k1/include/secp256k1_ecdh.h b/crypto/secp256k1/libsecp256k1/include/secp256k1_ecdh.h index db520f446..4b84d7a96 100644 --- a/crypto/secp256k1/libsecp256k1/include/secp256k1_ecdh.h +++ b/crypto/secp256k1/libsecp256k1/include/secp256k1_ecdh.h @@ -10,17 +10,18 @@ extern "C" { /** Compute an EC Diffie-Hellman secret in constant time * Returns: 1: exponentiation was successful * 0: scalar was invalid (zero or overflow) - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: result: a 32-byte array which will be populated by an ECDH - * secret computed from the point and scalar - * In: point: pointer to a public point - * scalar: a 32-byte scalar with which to multiply the point + * Args: ctx: pointer to a context object (cannot be NULL) + * Out: result: a 32-byte array which will be populated by an ECDH + * secret computed from the point and scalar + * In: pubkey: a pointer to a secp256k1_pubkey containing an + * initialized public key + * privkey: a 32-byte scalar with which to multiply the point */ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh( const secp256k1_context* ctx, unsigned char *result, - const secp256k1_pubkey *point, - const unsigned char *scalar + const secp256k1_pubkey *pubkey, + const unsigned char *privkey ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); # ifdef __cplusplus diff --git a/crypto/secp256k1/libsecp256k1/include/secp256k1_recovery.h b/crypto/secp256k1/libsecp256k1/include/secp256k1_recovery.h index c9b8c0a30..055379725 100644 --- a/crypto/secp256k1/libsecp256k1/include/secp256k1_recovery.h +++ b/crypto/secp256k1/libsecp256k1/include/secp256k1_recovery.h @@ -65,7 +65,7 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact( unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4); +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); /** Create a recoverable ECDSA signature. * @@ -92,7 +92,7 @@ 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 (cannot be NULL) - * Out: pubkey: pointer to the recoved public key (cannot be NULL) + * Out: pubkey: pointer to the recovered public key (cannot be NULL) * In: sig: pointer to initialized signature that supports pubkey recovery (cannot be NULL) * msg32: the 32-byte message hash assumed to be signed (cannot be NULL) */ diff --git a/crypto/secp256k1/libsecp256k1/include/secp256k1_schnorr.h b/crypto/secp256k1/libsecp256k1/include/secp256k1_schnorr.h deleted file mode 100644 index 9b4f5b607..000000000 --- a/crypto/secp256k1/libsecp256k1/include/secp256k1_schnorr.h +++ /dev/null @@ -1,173 +0,0 @@ -#ifndef _SECP256K1_SCHNORR_ -# define _SECP256K1_SCHNORR_ - -# include "secp256k1.h" - -# ifdef __cplusplus -extern "C" { -# endif - -/** Create a signature using a custom EC-Schnorr-SHA256 construction. It - * produces non-malleable 64-byte signatures which support public key recovery - * batch validation, and multiparty signing. - * Returns: 1: signature created - * 0: the nonce generation function failed, or the private key was - * invalid. - * Args: ctx: pointer to a context object, initialized for signing - * (cannot be NULL) - * Out: sig64: pointer to a 64-byte array where the signature will be - * placed (cannot be NULL) - * In: msg32: the 32-byte message hash being signed (cannot be NULL) - * seckey: pointer to a 32-byte secret key (cannot be NULL) - * noncefp:pointer to a nonce generation function. If NULL, - * secp256k1_nonce_function_default is used - * ndata: pointer to arbitrary data used by the nonce generation - * function (can be NULL) - */ -SECP256K1_API int secp256k1_schnorr_sign( - const secp256k1_context* ctx, - unsigned char *sig64, - const unsigned char *msg32, - const unsigned char *seckey, - secp256k1_nonce_function noncefp, - const void *ndata -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); - -/** Verify a signature created by secp256k1_schnorr_sign. - * Returns: 1: correct signature - * 0: incorrect signature - * Args: ctx: a secp256k1 context object, initialized for verification. - * In: sig64: the 64-byte signature being verified (cannot be NULL) - * msg32: the 32-byte message hash being verified (cannot be NULL) - * pubkey: the public key to verify with (cannot be NULL) - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorr_verify( - const secp256k1_context* ctx, - const unsigned char *sig64, - const unsigned char *msg32, - const secp256k1_pubkey *pubkey -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); - -/** Recover an EC public key from a Schnorr signature created using - * secp256k1_schnorr_sign. - * Returns: 1: public key successfully recovered (which guarantees a correct - * signature). - * 0: otherwise. - * Args: ctx: pointer to a context object, initialized for - * verification (cannot be NULL) - * Out: pubkey: pointer to a pubkey to set to the recovered public key - * (cannot be NULL). - * In: sig64: signature as 64 byte array (cannot be NULL) - * msg32: the 32-byte message hash assumed to be signed (cannot - * be NULL) - */ -SECP256K1_API int secp256k1_schnorr_recover( - const secp256k1_context* ctx, - secp256k1_pubkey *pubkey, - const unsigned char *sig64, - const unsigned char *msg32 -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4); - -/** Generate a nonce pair deterministically for use with - * secp256k1_schnorr_partial_sign. - * Returns: 1: valid nonce pair was generated. - * 0: otherwise (nonce generation function failed) - * Args: ctx: pointer to a context object, initialized for signing - * (cannot be NULL) - * Out: pubnonce: public side of the nonce (cannot be NULL) - * privnonce32: private side of the nonce (32 byte) (cannot be NULL) - * In: msg32: the 32-byte message hash assumed to be signed (cannot - * be NULL) - * sec32: the 32-byte private key (cannot be NULL) - * noncefp: pointer to a nonce generation function. If NULL, - * secp256k1_nonce_function_default is used - * noncedata: pointer to arbitrary data used by the nonce generation - * function (can be NULL) - * - * Do not use the output as a private/public key pair for signing/validation. - */ -SECP256K1_API int secp256k1_schnorr_generate_nonce_pair( - const secp256k1_context* ctx, - secp256k1_pubkey *pubnonce, - unsigned char *privnonce32, - const unsigned char *msg32, - const unsigned char *sec32, - secp256k1_nonce_function noncefp, - const void* noncedata -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - -/** Produce a partial Schnorr signature, which can be combined using - * secp256k1_schnorr_partial_combine, to end up with a full signature that is - * verifiable using secp256k1_schnorr_verify. - * Returns: 1: signature created successfully. - * 0: no valid signature exists with this combination of keys, nonces - * and message (chance around 1 in 2^128) - * -1: invalid private key, nonce, or public nonces. - * Args: ctx: pointer to context object, initialized for signing (cannot - * be NULL) - * Out: sig64: pointer to 64-byte array to put partial signature in - * In: msg32: pointer to 32-byte message to sign - * sec32: pointer to 32-byte private key - * pubnonce_others: pointer to pubkey containing the sum of the other's - * nonces (see secp256k1_ec_pubkey_combine) - * secnonce32: pointer to 32-byte array containing our nonce - * - * The intended procedure for creating a multiparty signature is: - * - Each signer S[i] with private key x[i] and public key Q[i] runs - * secp256k1_schnorr_generate_nonce_pair to produce a pair (k[i],R[i]) of - * private/public nonces. - * - All signers communicate their public nonces to each other (revealing your - * private nonce can lead to discovery of your private key, so it should be - * considered secret). - * - All signers combine all the public nonces they received (excluding their - * own) using secp256k1_ec_pubkey_combine to obtain an - * Rall[i] = sum(R[0..i-1,i+1..n]). - * - All signers produce a partial signature using - * secp256k1_schnorr_partial_sign, passing in their own private key x[i], - * their own private nonce k[i], and the sum of the others' public nonces - * Rall[i]. - * - All signers communicate their partial signatures to each other. - * - Someone combines all partial signatures using - * secp256k1_schnorr_partial_combine, to obtain a full signature. - * - The resulting signature is validatable using secp256k1_schnorr_verify, with - * public key equal to the result of secp256k1_ec_pubkey_combine of the - * signers' public keys (sum(Q[0..n])). - * - * Note that secp256k1_schnorr_partial_combine and secp256k1_ec_pubkey_combine - * function take their arguments in any order, and it is possible to - * pre-combine several inputs already with one call, and add more inputs later - * by calling the function again (they are commutative and associative). - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorr_partial_sign( - const secp256k1_context* ctx, - unsigned char *sig64, - const unsigned char *msg32, - const unsigned char *sec32, - const secp256k1_pubkey *pubnonce_others, - const unsigned char *secnonce32 -) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6); - -/** Combine multiple Schnorr partial signatures. - * Returns: 1: the passed signatures were successfully combined. - * 0: the resulting signature is not valid (chance of 1 in 2^256) - * -1: some inputs were invalid, or the signatures were not created - * using the same set of nonces - * Args: ctx: pointer to a context object - * Out: sig64: pointer to a 64-byte array to place the combined signature - * (cannot be NULL) - * In: sig64sin: pointer to an array of n pointers to 64-byte input - * signatures - * n: the number of signatures to combine (at least 1) - */ -SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorr_partial_combine( - const secp256k1_context* ctx, - unsigned char *sig64, - const unsigned char * const * sig64sin, - int n -) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3); - -# ifdef __cplusplus -} -# endif - -#endif diff --git a/crypto/secp256k1/libsecp256k1/libsecp256k1.pc.in b/crypto/secp256k1/libsecp256k1/libsecp256k1.pc.in index 1c72dd000..a0d006f11 100644 --- a/crypto/secp256k1/libsecp256k1/libsecp256k1.pc.in +++ b/crypto/secp256k1/libsecp256k1/libsecp256k1.pc.in @@ -5,7 +5,7 @@ includedir=@includedir@ Name: libsecp256k1 Description: Optimized C library for EC operations on curve secp256k1 -URL: https://github.com/bitcoin/secp256k1 +URL: https://github.com/bitcoin-core/secp256k1 Version: @PACKAGE_VERSION@ Cflags: -I${includedir} Libs.private: @SECP_LIBS@ diff --git a/crypto/secp256k1/libsecp256k1/sage/group_prover.sage b/crypto/secp256k1/libsecp256k1/sage/group_prover.sage new file mode 100644 index 000000000..ab580c5b2 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/sage/group_prover.sage @@ -0,0 +1,322 @@ +# This code supports verifying group implementations which have branches +# or conditional statements (like cmovs), by allowing each execution path +# to independently set assumptions on input or intermediary variables. +# +# The general approach is: +# * A constraint is a tuple of two sets of of symbolic expressions: +# the first of which are required to evaluate to zero, the second of which +# are required to evaluate to nonzero. +# - A constraint is said to be conflicting if any of its nonzero expressions +# is in the ideal with basis the zero expressions (in other words: when the +# zero expressions imply that one of the nonzero expressions are zero). +# * There is a list of laws that describe the intended behaviour, including +# laws for addition and doubling. Each law is called with the symbolic point +# coordinates as arguments, and returns: +# - A constraint describing the assumptions under which it is applicable, +# called "assumeLaw" +# - A constraint describing the requirements of the law, called "require" +# * Implementations are transliterated into functions that operate as well on +# algebraic input points, and are called once per combination of branches +# exectured. Each execution returns: +# - A constraint describing the assumptions this implementation requires +# (such as Z1=1), called "assumeFormula" +# - A constraint describing the assumptions this specific branch requires, +# but which is by construction guaranteed to cover the entire space by +# merging the results from all branches, called "assumeBranch" +# - The result of the computation +# * All combinations of laws with implementation branches are tried, and: +# - If the combination of assumeLaw, assumeFormula, and assumeBranch results +# in a conflict, it means this law does not apply to this branch, and it is +# skipped. +# - For others, we try to prove the require constraints hold, assuming the +# information in assumeLaw + assumeFormula + assumeBranch, and if this does +# not succeed, we fail. +# + To prove an expression is zero, we check whether it belongs to the +# ideal with the assumed zero expressions as basis. This test is exact. +# + To prove an expression is nonzero, we check whether each of its +# factors is contained in the set of nonzero assumptions' factors. +# This test is not exact, so various combinations of original and +# reduced expressions' factors are tried. +# - If we succeed, we print out the assumptions from assumeFormula that +# weren't implied by assumeLaw already. Those from assumeBranch are skipped, +# as we assume that all constraints in it are complementary with each other. +# +# Based on the sage verification scripts used in the Explicit-Formulas Database +# by Tanja Lange and others, see http://hyperelliptic.org/EFD + +class fastfrac: + """Fractions over rings.""" + + def __init__(self,R,top,bot=1): + """Construct a fractional, given a ring, a numerator, and denominator.""" + self.R = R + if parent(top) == ZZ or parent(top) == R: + self.top = R(top) + self.bot = R(bot) + elif top.__class__ == fastfrac: + self.top = top.top + self.bot = top.bot * bot + else: + self.top = R(numerator(top)) + self.bot = R(denominator(top)) * bot + + def iszero(self,I): + """Return whether this fraction is zero given an ideal.""" + return self.top in I and self.bot not in I + + def reduce(self,assumeZero): + zero = self.R.ideal(map(numerator, assumeZero)) + return fastfrac(self.R, zero.reduce(self.top)) / fastfrac(self.R, zero.reduce(self.bot)) + + def __add__(self,other): + """Add two fractions.""" + if parent(other) == ZZ: + return fastfrac(self.R,self.top + self.bot * other,self.bot) + if other.__class__ == fastfrac: + return fastfrac(self.R,self.top * other.bot + self.bot * other.top,self.bot * other.bot) + return NotImplemented + + def __sub__(self,other): + """Subtract two fractions.""" + if parent(other) == ZZ: + return fastfrac(self.R,self.top - self.bot * other,self.bot) + if other.__class__ == fastfrac: + return fastfrac(self.R,self.top * other.bot - self.bot * other.top,self.bot * other.bot) + return NotImplemented + + def __neg__(self): + """Return the negation of a fraction.""" + return fastfrac(self.R,-self.top,self.bot) + + def __mul__(self,other): + """Multiply two fractions.""" + if parent(other) == ZZ: + return fastfrac(self.R,self.top * other,self.bot) + if other.__class__ == fastfrac: + return fastfrac(self.R,self.top * other.top,self.bot * other.bot) + return NotImplemented + + def __rmul__(self,other): + """Multiply something else with a fraction.""" + return self.__mul__(other) + + def __div__(self,other): + """Divide two fractions.""" + if parent(other) == ZZ: + return fastfrac(self.R,self.top,self.bot * other) + if other.__class__ == fastfrac: + return fastfrac(self.R,self.top * other.bot,self.bot * other.top) + return NotImplemented + + def __pow__(self,other): + """Compute a power of a fraction.""" + if parent(other) == ZZ: + if other < 0: + # Negative powers require flipping top and bottom + return fastfrac(self.R,self.bot ^ (-other),self.top ^ (-other)) + else: + return fastfrac(self.R,self.top ^ other,self.bot ^ other) + return NotImplemented + + def __str__(self): + return "fastfrac((" + str(self.top) + ") / (" + str(self.bot) + "))" + def __repr__(self): + return "%s" % self + + def numerator(self): + return self.top + +class constraints: + """A set of constraints, consisting of zero and nonzero expressions. + + Constraints can either be used to express knowledge or a requirement. + + Both the fields zero and nonzero are maps from expressions to description + strings. The expressions that are the keys in zero are required to be zero, + and the expressions that are the keys in nonzero are required to be nonzero. + + Note that (a != 0) and (b != 0) is the same as (a*b != 0), so all keys in + nonzero could be multiplied into a single key. This is often much less + efficient to work with though, so we keep them separate inside the + constraints. This allows higher-level code to do fast checks on the individual + nonzero elements, or combine them if needed for stronger checks. + + We can't multiply the different zero elements, as it would suffice for one of + the factors to be zero, instead of all of them. Instead, the zero elements are + typically combined into an ideal first. + """ + + def __init__(self, **kwargs): + if 'zero' in kwargs: + self.zero = dict(kwargs['zero']) + else: + self.zero = dict() + if 'nonzero' in kwargs: + self.nonzero = dict(kwargs['nonzero']) + else: + self.nonzero = dict() + + def negate(self): + return constraints(zero=self.nonzero, nonzero=self.zero) + + def __add__(self, other): + zero = self.zero.copy() + zero.update(other.zero) + nonzero = self.nonzero.copy() + nonzero.update(other.nonzero) + return constraints(zero=zero, nonzero=nonzero) + + def __str__(self): + return "constraints(zero=%s,nonzero=%s)" % (self.zero, self.nonzero) + + def __repr__(self): + return "%s" % self + + +def conflicts(R, con): + """Check whether any of the passed non-zero assumptions is implied by the zero assumptions""" + zero = R.ideal(map(numerator, con.zero)) + if 1 in zero: + return True + # First a cheap check whether any of the individual nonzero terms conflict on + # their own. + for nonzero in con.nonzero: + if nonzero.iszero(zero): + return True + # It can be the case that entries in the nonzero set do not individually + # conflict with the zero set, but their combination does. For example, knowing + # that either x or y is zero is equivalent to having x*y in the zero set. + # Having x or y individually in the nonzero set is not a conflict, but both + # simultaneously is, so that is the right thing to check for. + if reduce(lambda a,b: a * b, con.nonzero, fastfrac(R, 1)).iszero(zero): + return True + return False + + +def get_nonzero_set(R, assume): + """Calculate a simple set of nonzero expressions""" + zero = R.ideal(map(numerator, assume.zero)) + nonzero = set() + for nz in map(numerator, assume.nonzero): + for (f,n) in nz.factor(): + nonzero.add(f) + rnz = zero.reduce(nz) + for (f,n) in rnz.factor(): + nonzero.add(f) + return nonzero + + +def prove_nonzero(R, exprs, assume): + """Check whether an expression is provably nonzero, given assumptions""" + zero = R.ideal(map(numerator, assume.zero)) + nonzero = get_nonzero_set(R, assume) + expl = set() + ok = True + for expr in exprs: + if numerator(expr) in zero: + return (False, [exprs[expr]]) + allexprs = reduce(lambda a,b: numerator(a)*numerator(b), exprs, 1) + for (f, n) in allexprs.factor(): + if f not in nonzero: + ok = False + if ok: + return (True, None) + ok = True + for (f, n) in zero.reduce(numerator(allexprs)).factor(): + if f not in nonzero: + ok = False + if ok: + return (True, None) + ok = True + for expr in exprs: + for (f,n) in numerator(expr).factor(): + if f not in nonzero: + ok = False + if ok: + return (True, None) + ok = True + for expr in exprs: + for (f,n) in zero.reduce(numerator(expr)).factor(): + if f not in nonzero: + expl.add(exprs[expr]) + if expl: + return (False, list(expl)) + else: + return (True, None) + + +def prove_zero(R, exprs, assume): + """Check whether all of the passed expressions are provably zero, given assumptions""" + r, e = prove_nonzero(R, dict(map(lambda x: (fastfrac(R, x.bot, 1), exprs[x]), exprs)), assume) + if not r: + return (False, map(lambda x: "Possibly zero denominator: %s" % x, e)) + zero = R.ideal(map(numerator, assume.zero)) + nonzero = prod(x for x in assume.nonzero) + expl = [] + for expr in exprs: + if not expr.iszero(zero): + expl.append(exprs[expr]) + if not expl: + return (True, None) + return (False, expl) + + +def describe_extra(R, assume, assumeExtra): + """Describe what assumptions are added, given existing assumptions""" + zerox = assume.zero.copy() + zerox.update(assumeExtra.zero) + zero = R.ideal(map(numerator, assume.zero)) + zeroextra = R.ideal(map(numerator, zerox)) + nonzero = get_nonzero_set(R, assume) + ret = set() + # Iterate over the extra zero expressions + for base in assumeExtra.zero: + if base not in zero: + add = [] + for (f, n) in numerator(base).factor(): + if f not in nonzero: + add += ["%s" % f] + if add: + ret.add((" * ".join(add)) + " = 0 [%s]" % assumeExtra.zero[base]) + # Iterate over the extra nonzero expressions + for nz in assumeExtra.nonzero: + nzr = zeroextra.reduce(numerator(nz)) + if nzr not in zeroextra: + for (f,n) in nzr.factor(): + if zeroextra.reduce(f) not in nonzero: + ret.add("%s != 0" % zeroextra.reduce(f)) + return ", ".join(x for x in ret) + + +def check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require): + """Check a set of zero and nonzero requirements, given a set of zero and nonzero assumptions""" + assume = assumeLaw + assumeAssert + assumeBranch + + if conflicts(R, assume): + # This formula does not apply + return None + + describe = describe_extra(R, assumeLaw + assumeBranch, assumeAssert) + + ok, msg = prove_zero(R, require.zero, assume) + if not ok: + return "FAIL, %s fails (assuming %s)" % (str(msg), describe) + + res, expl = prove_nonzero(R, require.nonzero, assume) + if not res: + return "FAIL, %s fails (assuming %s)" % (str(expl), describe) + + if describe != "": + return "OK (assuming %s)" % describe + else: + return "OK" + + +def concrete_verify(c): + for k in c.zero: + if k != 0: + return (False, c.zero[k]) + for k in c.nonzero: + if k == 0: + return (False, c.nonzero[k]) + return (True, None) diff --git a/crypto/secp256k1/libsecp256k1/sage/secp256k1.sage b/crypto/secp256k1/libsecp256k1/sage/secp256k1.sage new file mode 100644 index 000000000..a97e732f7 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/sage/secp256k1.sage @@ -0,0 +1,306 @@ +# Test libsecp256k1' group operation implementations using prover.sage + +import sys + +load("group_prover.sage") +load("weierstrass_prover.sage") + +def formula_secp256k1_gej_double_var(a): + """libsecp256k1's secp256k1_gej_double_var, used by various addition functions""" + rz = a.Z * a.Y + rz = rz * 2 + t1 = a.X^2 + t1 = t1 * 3 + t2 = t1^2 + t3 = a.Y^2 + t3 = t3 * 2 + t4 = t3^2 + t4 = t4 * 2 + t3 = t3 * a.X + rx = t3 + rx = rx * 4 + rx = -rx + rx = rx + t2 + t2 = -t2 + t3 = t3 * 6 + t3 = t3 + t2 + ry = t1 * t3 + t2 = -t4 + ry = ry + t2 + return jacobianpoint(rx, ry, rz) + +def formula_secp256k1_gej_add_var(branch, a, b): + """libsecp256k1's secp256k1_gej_add_var""" + if branch == 0: + return (constraints(), constraints(nonzero={a.Infinity : 'a_infinite'}), b) + if branch == 1: + return (constraints(), constraints(zero={a.Infinity : 'a_finite'}, nonzero={b.Infinity : 'b_infinite'}), a) + z22 = b.Z^2 + z12 = a.Z^2 + u1 = a.X * z22 + u2 = b.X * z12 + s1 = a.Y * z22 + s1 = s1 * b.Z + s2 = b.Y * z12 + s2 = s2 * a.Z + h = -u1 + h = h + u2 + i = -s1 + i = i + s2 + if branch == 2: + r = formula_secp256k1_gej_double_var(a) + return (constraints(), constraints(zero={h : 'h=0', i : 'i=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}), r) + if branch == 3: + return (constraints(), constraints(zero={h : 'h=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={i : 'i!=0'}), point_at_infinity()) + i2 = i^2 + h2 = h^2 + h3 = h2 * h + h = h * b.Z + rz = a.Z * h + t = u1 * h2 + rx = t + rx = rx * 2 + rx = rx + h3 + rx = -rx + rx = rx + i2 + ry = -rx + ry = ry + t + ry = ry * i + h3 = h3 * s1 + h3 = -h3 + ry = ry + h3 + return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) + +def formula_secp256k1_gej_add_ge_var(branch, a, b): + """libsecp256k1's secp256k1_gej_add_ge_var, which assume bz==1""" + if branch == 0: + return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(nonzero={a.Infinity : 'a_infinite'}), b) + if branch == 1: + return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite'}, nonzero={b.Infinity : 'b_infinite'}), a) + z12 = a.Z^2 + u1 = a.X + u2 = b.X * z12 + s1 = a.Y + s2 = b.Y * z12 + s2 = s2 * a.Z + h = -u1 + h = h + u2 + i = -s1 + i = i + s2 + if (branch == 2): + r = formula_secp256k1_gej_double_var(a) + return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r) + if (branch == 3): + return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity()) + i2 = i^2 + h2 = h^2 + h3 = h * h2 + rz = a.Z * h + t = u1 * h2 + rx = t + rx = rx * 2 + rx = rx + h3 + rx = -rx + rx = rx + i2 + ry = -rx + ry = ry + t + ry = ry * i + h3 = h3 * s1 + h3 = -h3 + ry = ry + h3 + return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) + +def formula_secp256k1_gej_add_zinv_var(branch, a, b): + """libsecp256k1's secp256k1_gej_add_zinv_var""" + bzinv = b.Z^(-1) + if branch == 0: + return (constraints(), constraints(nonzero={b.Infinity : 'b_infinite'}), a) + if branch == 1: + bzinv2 = bzinv^2 + bzinv3 = bzinv2 * bzinv + rx = b.X * bzinv2 + ry = b.Y * bzinv3 + rz = 1 + return (constraints(), constraints(zero={b.Infinity : 'b_finite'}, nonzero={a.Infinity : 'a_infinite'}), jacobianpoint(rx, ry, rz)) + azz = a.Z * bzinv + z12 = azz^2 + u1 = a.X + u2 = b.X * z12 + s1 = a.Y + s2 = b.Y * z12 + s2 = s2 * azz + h = -u1 + h = h + u2 + i = -s1 + i = i + s2 + if branch == 2: + r = formula_secp256k1_gej_double_var(a) + return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r) + if branch == 3: + return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity()) + i2 = i^2 + h2 = h^2 + h3 = h * h2 + rz = a.Z + rz = rz * h + t = u1 * h2 + rx = t + rx = rx * 2 + rx = rx + h3 + rx = -rx + rx = rx + i2 + ry = -rx + ry = ry + t + ry = ry * i + h3 = h3 * s1 + h3 = -h3 + ry = ry + h3 + return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz)) + +def formula_secp256k1_gej_add_ge(branch, a, b): + """libsecp256k1's secp256k1_gej_add_ge""" + zeroes = {} + nonzeroes = {} + a_infinity = False + if (branch & 4) != 0: + nonzeroes.update({a.Infinity : 'a_infinite'}) + a_infinity = True + else: + zeroes.update({a.Infinity : 'a_finite'}) + zz = a.Z^2 + u1 = a.X + u2 = b.X * zz + s1 = a.Y + s2 = b.Y * zz + s2 = s2 * a.Z + t = u1 + t = t + u2 + m = s1 + m = m + s2 + rr = t^2 + m_alt = -u2 + tt = u1 * m_alt + rr = rr + tt + degenerate = (branch & 3) == 3 + if (branch & 1) != 0: + zeroes.update({m : 'm_zero'}) + else: + nonzeroes.update({m : 'm_nonzero'}) + if (branch & 2) != 0: + zeroes.update({rr : 'rr_zero'}) + else: + nonzeroes.update({rr : 'rr_nonzero'}) + rr_alt = s1 + rr_alt = rr_alt * 2 + m_alt = m_alt + u1 + if not degenerate: + rr_alt = rr + m_alt = m + n = m_alt^2 + q = n * t + n = n^2 + if degenerate: + n = m + t = rr_alt^2 + rz = a.Z * m_alt + infinity = False + if (branch & 8) != 0: + if not a_infinity: + infinity = True + zeroes.update({rz : 'r.z=0'}) + else: + nonzeroes.update({rz : 'r.z!=0'}) + rz = rz * 2 + q = -q + t = t + q + rx = t + t = t * 2 + t = t + q + t = t * rr_alt + t = t + n + ry = -t + rx = rx * 4 + ry = ry * 4 + if a_infinity: + rx = b.X + ry = b.Y + rz = 1 + if infinity: + return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zeroes, nonzero=nonzeroes), point_at_infinity()) + return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zeroes, nonzero=nonzeroes), jacobianpoint(rx, ry, rz)) + +def formula_secp256k1_gej_add_ge_old(branch, a, b): + """libsecp256k1's old secp256k1_gej_add_ge, which fails when ay+by=0 but ax!=bx""" + a_infinity = (branch & 1) != 0 + zero = {} + nonzero = {} + if a_infinity: + nonzero.update({a.Infinity : 'a_infinite'}) + else: + zero.update({a.Infinity : 'a_finite'}) + zz = a.Z^2 + u1 = a.X + u2 = b.X * zz + s1 = a.Y + s2 = b.Y * zz + s2 = s2 * a.Z + z = a.Z + t = u1 + t = t + u2 + m = s1 + m = m + s2 + n = m^2 + q = n * t + n = n^2 + rr = t^2 + t = u1 * u2 + t = -t + rr = rr + t + t = rr^2 + rz = m * z + infinity = False + if (branch & 2) != 0: + if not a_infinity: + infinity = True + else: + return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(nonzero={z : 'conflict_a'}, zero={z : 'conflict_b'}), point_at_infinity()) + zero.update({rz : 'r.z=0'}) + else: + nonzero.update({rz : 'r.z!=0'}) + rz = rz * (0 if a_infinity else 2) + rx = t + q = -q + rx = rx + q + q = q * 3 + t = t * 2 + t = t + q + t = t * rr + t = t + n + ry = -t + rx = rx * (0 if a_infinity else 4) + ry = ry * (0 if a_infinity else 4) + t = b.X + t = t * (1 if a_infinity else 0) + rx = rx + t + t = b.Y + t = t * (1 if a_infinity else 0) + ry = ry + t + t = (1 if a_infinity else 0) + rz = rz + t + if infinity: + return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), point_at_infinity()) + return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), jacobianpoint(rx, ry, rz)) + +if __name__ == "__main__": + check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var) + check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var) + check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var) + check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge) + check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old) + + if len(sys.argv) >= 2 and sys.argv[1] == "--exhaustive": + check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43) + check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43) + check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43) + check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43) + check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43) diff --git a/crypto/secp256k1/libsecp256k1/sage/weierstrass_prover.sage b/crypto/secp256k1/libsecp256k1/sage/weierstrass_prover.sage new file mode 100644 index 000000000..03ef2ec90 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/sage/weierstrass_prover.sage @@ -0,0 +1,264 @@ +# Prover implementation for Weierstrass curves of the form +# y^2 = x^3 + A * x + B, specifically with a = 0 and b = 7, with group laws +# operating on affine and Jacobian coordinates, including the point at infinity +# represented by a 4th variable in coordinates. + +load("group_prover.sage") + + +class affinepoint: + def __init__(self, x, y, infinity=0): + self.x = x + self.y = y + self.infinity = infinity + def __str__(self): + return "affinepoint(x=%s,y=%s,inf=%s)" % (self.x, self.y, self.infinity) + + +class jacobianpoint: + def __init__(self, x, y, z, infinity=0): + self.X = x + self.Y = y + self.Z = z + self.Infinity = infinity + def __str__(self): + return "jacobianpoint(X=%s,Y=%s,Z=%s,inf=%s)" % (self.X, self.Y, self.Z, self.Infinity) + + +def point_at_infinity(): + return jacobianpoint(1, 1, 1, 1) + + +def negate(p): + if p.__class__ == affinepoint: + return affinepoint(p.x, -p.y) + if p.__class__ == jacobianpoint: + return jacobianpoint(p.X, -p.Y, p.Z) + assert(False) + + +def on_weierstrass_curve(A, B, p): + """Return a set of zero-expressions for an affine point to be on the curve""" + return constraints(zero={p.x^3 + A*p.x + B - p.y^2: 'on_curve'}) + + +def tangential_to_weierstrass_curve(A, B, p12, p3): + """Return a set of zero-expressions for ((x12,y12),(x3,y3)) to be a line that is tangential to the curve at (x12,y12)""" + return constraints(zero={ + (p12.y - p3.y) * (p12.y * 2) - (p12.x^2 * 3 + A) * (p12.x - p3.x): 'tangential_to_curve' + }) + + +def colinear(p1, p2, p3): + """Return a set of zero-expressions for ((x1,y1),(x2,y2),(x3,y3)) to be collinear""" + return constraints(zero={ + (p1.y - p2.y) * (p1.x - p3.x) - (p1.y - p3.y) * (p1.x - p2.x): 'colinear_1', + (p2.y - p3.y) * (p2.x - p1.x) - (p2.y - p1.y) * (p2.x - p3.x): 'colinear_2', + (p3.y - p1.y) * (p3.x - p2.x) - (p3.y - p2.y) * (p3.x - p1.x): 'colinear_3' + }) + + +def good_affine_point(p): + return constraints(nonzero={p.x : 'nonzero_x', p.y : 'nonzero_y'}) + + +def good_jacobian_point(p): + return constraints(nonzero={p.X : 'nonzero_X', p.Y : 'nonzero_Y', p.Z^6 : 'nonzero_Z'}) + + +def good_point(p): + return constraints(nonzero={p.Z^6 : 'nonzero_X'}) + + +def finite(p, *affine_fns): + con = good_point(p) + constraints(zero={p.Infinity : 'finite_point'}) + if p.Z != 0: + return con + reduce(lambda a, b: a + b, (f(affinepoint(p.X / p.Z^2, p.Y / p.Z^3)) for f in affine_fns), con) + else: + return con + +def infinite(p): + return constraints(nonzero={p.Infinity : 'infinite_point'}) + + +def law_jacobian_weierstrass_add(A, B, pa, pb, pA, pB, pC): + """Check whether the passed set of coordinates is a valid Jacobian add, given assumptions""" + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + on_weierstrass_curve(A, B, pa) + + on_weierstrass_curve(A, B, pb) + + finite(pA) + + finite(pB) + + constraints(nonzero={pa.x - pb.x : 'different_x'})) + require = (finite(pC, lambda pc: on_weierstrass_curve(A, B, pc) + + colinear(pa, pb, negate(pc)))) + return (assumeLaw, require) + + +def law_jacobian_weierstrass_double(A, B, pa, pb, pA, pB, pC): + """Check whether the passed set of coordinates is a valid Jacobian doubling, given assumptions""" + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + on_weierstrass_curve(A, B, pa) + + on_weierstrass_curve(A, B, pb) + + finite(pA) + + finite(pB) + + constraints(zero={pa.x - pb.x : 'equal_x', pa.y - pb.y : 'equal_y'})) + require = (finite(pC, lambda pc: on_weierstrass_curve(A, B, pc) + + tangential_to_weierstrass_curve(A, B, pa, negate(pc)))) + return (assumeLaw, require) + + +def law_jacobian_weierstrass_add_opposites(A, B, pa, pb, pA, pB, pC): + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + on_weierstrass_curve(A, B, pa) + + on_weierstrass_curve(A, B, pb) + + finite(pA) + + finite(pB) + + constraints(zero={pa.x - pb.x : 'equal_x', pa.y + pb.y : 'opposite_y'})) + require = infinite(pC) + return (assumeLaw, require) + + +def law_jacobian_weierstrass_add_infinite_a(A, B, pa, pb, pA, pB, pC): + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + on_weierstrass_curve(A, B, pb) + + infinite(pA) + + finite(pB)) + require = finite(pC, lambda pc: constraints(zero={pc.x - pb.x : 'c.x=b.x', pc.y - pb.y : 'c.y=b.y'})) + return (assumeLaw, require) + + +def law_jacobian_weierstrass_add_infinite_b(A, B, pa, pb, pA, pB, pC): + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + on_weierstrass_curve(A, B, pa) + + infinite(pB) + + finite(pA)) + require = finite(pC, lambda pc: constraints(zero={pc.x - pa.x : 'c.x=a.x', pc.y - pa.y : 'c.y=a.y'})) + return (assumeLaw, require) + + +def law_jacobian_weierstrass_add_infinite_ab(A, B, pa, pb, pA, pB, pC): + assumeLaw = (good_affine_point(pa) + + good_affine_point(pb) + + good_jacobian_point(pA) + + good_jacobian_point(pB) + + infinite(pA) + + infinite(pB)) + require = infinite(pC) + return (assumeLaw, require) + + +laws_jacobian_weierstrass = { + 'add': law_jacobian_weierstrass_add, + 'double': law_jacobian_weierstrass_double, + 'add_opposite': law_jacobian_weierstrass_add_opposites, + 'add_infinite_a': law_jacobian_weierstrass_add_infinite_a, + 'add_infinite_b': law_jacobian_weierstrass_add_infinite_b, + 'add_infinite_ab': law_jacobian_weierstrass_add_infinite_ab +} + + +def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p): + """Verify an implementation of addition of Jacobian points on a Weierstrass curve, by executing and validating the result for every possible addition in a prime field""" + F = Integers(p) + print "Formula %s on Z%i:" % (name, p) + points = [] + for x in xrange(0, p): + for y in xrange(0, p): + point = affinepoint(F(x), F(y)) + r, e = concrete_verify(on_weierstrass_curve(A, B, point)) + if r: + points.append(point) + + for za in xrange(1, p): + for zb in xrange(1, p): + for pa in points: + for pb in points: + for ia in xrange(2): + for ib in xrange(2): + pA = jacobianpoint(pa.x * F(za)^2, pa.y * F(za)^3, F(za), ia) + pB = jacobianpoint(pb.x * F(zb)^2, pb.y * F(zb)^3, F(zb), ib) + for branch in xrange(0, branches): + assumeAssert, assumeBranch, pC = formula(branch, pA, pB) + pC.X = F(pC.X) + pC.Y = F(pC.Y) + pC.Z = F(pC.Z) + pC.Infinity = F(pC.Infinity) + r, e = concrete_verify(assumeAssert + assumeBranch) + if r: + match = False + for key in laws_jacobian_weierstrass: + assumeLaw, require = laws_jacobian_weierstrass[key](A, B, pa, pb, pA, pB, pC) + r, e = concrete_verify(assumeLaw) + if r: + if match: + print " multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity) + else: + match = True + r, e = concrete_verify(require) + if not r: + print " failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e) + print + + +def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC): + assumeLaw, require = f(A, B, pa, pb, pA, pB, pC) + return check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require) + +def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula): + """Verify an implementation of addition of Jacobian points on a Weierstrass curve symbolically""" + R.<ax,bx,ay,by,Az,Bz,Ai,Bi> = PolynomialRing(QQ,8,order='invlex') + lift = lambda x: fastfrac(R,x) + ax = lift(ax) + ay = lift(ay) + Az = lift(Az) + bx = lift(bx) + by = lift(by) + Bz = lift(Bz) + Ai = lift(Ai) + Bi = lift(Bi) + + pa = affinepoint(ax, ay, Ai) + pb = affinepoint(bx, by, Bi) + pA = jacobianpoint(ax * Az^2, ay * Az^3, Az, Ai) + pB = jacobianpoint(bx * Bz^2, by * Bz^3, Bz, Bi) + + res = {} + + for key in laws_jacobian_weierstrass: + res[key] = [] + + print ("Formula " + name + ":") + count = 0 + for branch in xrange(branches): + assumeFormula, assumeBranch, pC = formula(branch, pA, pB) + pC.X = lift(pC.X) + pC.Y = lift(pC.Y) + pC.Z = lift(pC.Z) + pC.Infinity = lift(pC.Infinity) + + for key in laws_jacobian_weierstrass: + res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch)) + + for key in res: + print " %s:" % key + val = res[key] + for x in val: + if x[0] is not None: + print " branch %i: %s" % (x[1], x[0]) + + print diff --git a/crypto/secp256k1/libsecp256k1/src/asm/field_10x26_arm.s b/crypto/secp256k1/libsecp256k1/src/asm/field_10x26_arm.s new file mode 100644 index 000000000..5df561f2f --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/asm/field_10x26_arm.s @@ -0,0 +1,919 @@ +@ vim: set tabstop=8 softtabstop=8 shiftwidth=8 noexpandtab syntax=armasm: +/********************************************************************** + * Copyright (c) 2014 Wladimir J. van der Laan * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ +/* +ARM implementation of field_10x26 inner loops. + +Note: + +- To avoid unnecessary loads and make use of available registers, two + 'passes' have every time been interleaved, with the odd passes accumulating c' and d' + which will be added to c and d respectively in the the even passes + +*/ + + .syntax unified + .arch armv7-a + @ eabi attributes - see readelf -A + .eabi_attribute 8, 1 @ Tag_ARM_ISA_use = yes + .eabi_attribute 9, 0 @ Tag_Thumb_ISA_use = no + .eabi_attribute 10, 0 @ Tag_FP_arch = none + .eabi_attribute 24, 1 @ Tag_ABI_align_needed = 8-byte + .eabi_attribute 25, 1 @ Tag_ABI_align_preserved = 8-byte, except leaf SP + .eabi_attribute 30, 2 @ Tag_ABI_optimization_goals = Agressive Speed + .eabi_attribute 34, 1 @ Tag_CPU_unaligned_access = v6 + .text + + @ Field constants + .set field_R0, 0x3d10 + .set field_R1, 0x400 + .set field_not_M, 0xfc000000 @ ~M = ~0x3ffffff + + .align 2 + .global secp256k1_fe_mul_inner + .type secp256k1_fe_mul_inner, %function + @ Arguments: + @ r0 r Restrict: can overlap with a, not with b + @ r1 a + @ r2 b + @ Stack (total 4+10*4 = 44) + @ sp + #0 saved 'r' pointer + @ sp + #4 + 4*X t0,t1,t2,t3,t4,t5,t6,t7,u8,t9 +secp256k1_fe_mul_inner: + stmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, r14} + sub sp, sp, #48 @ frame=44 + alignment + str r0, [sp, #0] @ save result address, we need it only at the end + + /****************************************** + * Main computation code. + ****************************************** + + Allocation: + r0,r14,r7,r8 scratch + r1 a (pointer) + r2 b (pointer) + r3:r4 c + r5:r6 d + r11:r12 c' + r9:r10 d' + + Note: do not write to r[] here, it may overlap with a[] + */ + + /* A - interleaved with B */ + ldr r7, [r1, #0*4] @ a[0] + ldr r8, [r2, #9*4] @ b[9] + ldr r0, [r1, #1*4] @ a[1] + umull r5, r6, r7, r8 @ d = a[0] * b[9] + ldr r14, [r2, #8*4] @ b[8] + umull r9, r10, r0, r8 @ d' = a[1] * b[9] + ldr r7, [r1, #2*4] @ a[2] + umlal r5, r6, r0, r14 @ d += a[1] * b[8] + ldr r8, [r2, #7*4] @ b[7] + umlal r9, r10, r7, r14 @ d' += a[2] * b[8] + ldr r0, [r1, #3*4] @ a[3] + umlal r5, r6, r7, r8 @ d += a[2] * b[7] + ldr r14, [r2, #6*4] @ b[6] + umlal r9, r10, r0, r8 @ d' += a[3] * b[7] + ldr r7, [r1, #4*4] @ a[4] + umlal r5, r6, r0, r14 @ d += a[3] * b[6] + ldr r8, [r2, #5*4] @ b[5] + umlal r9, r10, r7, r14 @ d' += a[4] * b[6] + ldr r0, [r1, #5*4] @ a[5] + umlal r5, r6, r7, r8 @ d += a[4] * b[5] + ldr r14, [r2, #4*4] @ b[4] + umlal r9, r10, r0, r8 @ d' += a[5] * b[5] + ldr r7, [r1, #6*4] @ a[6] + umlal r5, r6, r0, r14 @ d += a[5] * b[4] + ldr r8, [r2, #3*4] @ b[3] + umlal r9, r10, r7, r14 @ d' += a[6] * b[4] + ldr r0, [r1, #7*4] @ a[7] + umlal r5, r6, r7, r8 @ d += a[6] * b[3] + ldr r14, [r2, #2*4] @ b[2] + umlal r9, r10, r0, r8 @ d' += a[7] * b[3] + ldr r7, [r1, #8*4] @ a[8] + umlal r5, r6, r0, r14 @ d += a[7] * b[2] + ldr r8, [r2, #1*4] @ b[1] + umlal r9, r10, r7, r14 @ d' += a[8] * b[2] + ldr r0, [r1, #9*4] @ a[9] + umlal r5, r6, r7, r8 @ d += a[8] * b[1] + ldr r14, [r2, #0*4] @ b[0] + umlal r9, r10, r0, r8 @ d' += a[9] * b[1] + ldr r7, [r1, #0*4] @ a[0] + umlal r5, r6, r0, r14 @ d += a[9] * b[0] + @ r7,r14 used in B + + bic r0, r5, field_not_M @ t9 = d & M + str r0, [sp, #4 + 4*9] + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + + /* B */ + umull r3, r4, r7, r14 @ c = a[0] * b[0] + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u0 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u0 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t0 = c & M + str r14, [sp, #4 + 0*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u0 * R1 + umlal r3, r4, r0, r14 + + /* C - interleaved with D */ + ldr r7, [r1, #0*4] @ a[0] + ldr r8, [r2, #2*4] @ b[2] + ldr r14, [r2, #1*4] @ b[1] + umull r11, r12, r7, r8 @ c' = a[0] * b[2] + ldr r0, [r1, #1*4] @ a[1] + umlal r3, r4, r7, r14 @ c += a[0] * b[1] + ldr r8, [r2, #0*4] @ b[0] + umlal r11, r12, r0, r14 @ c' += a[1] * b[1] + ldr r7, [r1, #2*4] @ a[2] + umlal r3, r4, r0, r8 @ c += a[1] * b[0] + ldr r14, [r2, #9*4] @ b[9] + umlal r11, r12, r7, r8 @ c' += a[2] * b[0] + ldr r0, [r1, #3*4] @ a[3] + umlal r5, r6, r7, r14 @ d += a[2] * b[9] + ldr r8, [r2, #8*4] @ b[8] + umull r9, r10, r0, r14 @ d' = a[3] * b[9] + ldr r7, [r1, #4*4] @ a[4] + umlal r5, r6, r0, r8 @ d += a[3] * b[8] + ldr r14, [r2, #7*4] @ b[7] + umlal r9, r10, r7, r8 @ d' += a[4] * b[8] + ldr r0, [r1, #5*4] @ a[5] + umlal r5, r6, r7, r14 @ d += a[4] * b[7] + ldr r8, [r2, #6*4] @ b[6] + umlal r9, r10, r0, r14 @ d' += a[5] * b[7] + ldr r7, [r1, #6*4] @ a[6] + umlal r5, r6, r0, r8 @ d += a[5] * b[6] + ldr r14, [r2, #5*4] @ b[5] + umlal r9, r10, r7, r8 @ d' += a[6] * b[6] + ldr r0, [r1, #7*4] @ a[7] + umlal r5, r6, r7, r14 @ d += a[6] * b[5] + ldr r8, [r2, #4*4] @ b[4] + umlal r9, r10, r0, r14 @ d' += a[7] * b[5] + ldr r7, [r1, #8*4] @ a[8] + umlal r5, r6, r0, r8 @ d += a[7] * b[4] + ldr r14, [r2, #3*4] @ b[3] + umlal r9, r10, r7, r8 @ d' += a[8] * b[4] + ldr r0, [r1, #9*4] @ a[9] + umlal r5, r6, r7, r14 @ d += a[8] * b[3] + ldr r8, [r2, #2*4] @ b[2] + umlal r9, r10, r0, r14 @ d' += a[9] * b[3] + umlal r5, r6, r0, r8 @ d += a[9] * b[2] + + bic r0, r5, field_not_M @ u1 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u1 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t1 = c & M + str r14, [sp, #4 + 1*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u1 * R1 + umlal r3, r4, r0, r14 + + /* D */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u2 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u2 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t2 = c & M + str r14, [sp, #4 + 2*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u2 * R1 + umlal r3, r4, r0, r14 + + /* E - interleaved with F */ + ldr r7, [r1, #0*4] @ a[0] + ldr r8, [r2, #4*4] @ b[4] + umull r11, r12, r7, r8 @ c' = a[0] * b[4] + ldr r8, [r2, #3*4] @ b[3] + umlal r3, r4, r7, r8 @ c += a[0] * b[3] + ldr r7, [r1, #1*4] @ a[1] + umlal r11, r12, r7, r8 @ c' += a[1] * b[3] + ldr r8, [r2, #2*4] @ b[2] + umlal r3, r4, r7, r8 @ c += a[1] * b[2] + ldr r7, [r1, #2*4] @ a[2] + umlal r11, r12, r7, r8 @ c' += a[2] * b[2] + ldr r8, [r2, #1*4] @ b[1] + umlal r3, r4, r7, r8 @ c += a[2] * b[1] + ldr r7, [r1, #3*4] @ a[3] + umlal r11, r12, r7, r8 @ c' += a[3] * b[1] + ldr r8, [r2, #0*4] @ b[0] + umlal r3, r4, r7, r8 @ c += a[3] * b[0] + ldr r7, [r1, #4*4] @ a[4] + umlal r11, r12, r7, r8 @ c' += a[4] * b[0] + ldr r8, [r2, #9*4] @ b[9] + umlal r5, r6, r7, r8 @ d += a[4] * b[9] + ldr r7, [r1, #5*4] @ a[5] + umull r9, r10, r7, r8 @ d' = a[5] * b[9] + ldr r8, [r2, #8*4] @ b[8] + umlal r5, r6, r7, r8 @ d += a[5] * b[8] + ldr r7, [r1, #6*4] @ a[6] + umlal r9, r10, r7, r8 @ d' += a[6] * b[8] + ldr r8, [r2, #7*4] @ b[7] + umlal r5, r6, r7, r8 @ d += a[6] * b[7] + ldr r7, [r1, #7*4] @ a[7] + umlal r9, r10, r7, r8 @ d' += a[7] * b[7] + ldr r8, [r2, #6*4] @ b[6] + umlal r5, r6, r7, r8 @ d += a[7] * b[6] + ldr r7, [r1, #8*4] @ a[8] + umlal r9, r10, r7, r8 @ d' += a[8] * b[6] + ldr r8, [r2, #5*4] @ b[5] + umlal r5, r6, r7, r8 @ d += a[8] * b[5] + ldr r7, [r1, #9*4] @ a[9] + umlal r9, r10, r7, r8 @ d' += a[9] * b[5] + ldr r8, [r2, #4*4] @ b[4] + umlal r5, r6, r7, r8 @ d += a[9] * b[4] + + bic r0, r5, field_not_M @ u3 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u3 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t3 = c & M + str r14, [sp, #4 + 3*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u3 * R1 + umlal r3, r4, r0, r14 + + /* F */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u4 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u4 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t4 = c & M + str r14, [sp, #4 + 4*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u4 * R1 + umlal r3, r4, r0, r14 + + /* G - interleaved with H */ + ldr r7, [r1, #0*4] @ a[0] + ldr r8, [r2, #6*4] @ b[6] + ldr r14, [r2, #5*4] @ b[5] + umull r11, r12, r7, r8 @ c' = a[0] * b[6] + ldr r0, [r1, #1*4] @ a[1] + umlal r3, r4, r7, r14 @ c += a[0] * b[5] + ldr r8, [r2, #4*4] @ b[4] + umlal r11, r12, r0, r14 @ c' += a[1] * b[5] + ldr r7, [r1, #2*4] @ a[2] + umlal r3, r4, r0, r8 @ c += a[1] * b[4] + ldr r14, [r2, #3*4] @ b[3] + umlal r11, r12, r7, r8 @ c' += a[2] * b[4] + ldr r0, [r1, #3*4] @ a[3] + umlal r3, r4, r7, r14 @ c += a[2] * b[3] + ldr r8, [r2, #2*4] @ b[2] + umlal r11, r12, r0, r14 @ c' += a[3] * b[3] + ldr r7, [r1, #4*4] @ a[4] + umlal r3, r4, r0, r8 @ c += a[3] * b[2] + ldr r14, [r2, #1*4] @ b[1] + umlal r11, r12, r7, r8 @ c' += a[4] * b[2] + ldr r0, [r1, #5*4] @ a[5] + umlal r3, r4, r7, r14 @ c += a[4] * b[1] + ldr r8, [r2, #0*4] @ b[0] + umlal r11, r12, r0, r14 @ c' += a[5] * b[1] + ldr r7, [r1, #6*4] @ a[6] + umlal r3, r4, r0, r8 @ c += a[5] * b[0] + ldr r14, [r2, #9*4] @ b[9] + umlal r11, r12, r7, r8 @ c' += a[6] * b[0] + ldr r0, [r1, #7*4] @ a[7] + umlal r5, r6, r7, r14 @ d += a[6] * b[9] + ldr r8, [r2, #8*4] @ b[8] + umull r9, r10, r0, r14 @ d' = a[7] * b[9] + ldr r7, [r1, #8*4] @ a[8] + umlal r5, r6, r0, r8 @ d += a[7] * b[8] + ldr r14, [r2, #7*4] @ b[7] + umlal r9, r10, r7, r8 @ d' += a[8] * b[8] + ldr r0, [r1, #9*4] @ a[9] + umlal r5, r6, r7, r14 @ d += a[8] * b[7] + ldr r8, [r2, #6*4] @ b[6] + umlal r9, r10, r0, r14 @ d' += a[9] * b[7] + umlal r5, r6, r0, r8 @ d += a[9] * b[6] + + bic r0, r5, field_not_M @ u5 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u5 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t5 = c & M + str r14, [sp, #4 + 5*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u5 * R1 + umlal r3, r4, r0, r14 + + /* H */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u6 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u6 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t6 = c & M + str r14, [sp, #4 + 6*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u6 * R1 + umlal r3, r4, r0, r14 + + /* I - interleaved with J */ + ldr r8, [r2, #8*4] @ b[8] + ldr r7, [r1, #0*4] @ a[0] + ldr r14, [r2, #7*4] @ b[7] + umull r11, r12, r7, r8 @ c' = a[0] * b[8] + ldr r0, [r1, #1*4] @ a[1] + umlal r3, r4, r7, r14 @ c += a[0] * b[7] + ldr r8, [r2, #6*4] @ b[6] + umlal r11, r12, r0, r14 @ c' += a[1] * b[7] + ldr r7, [r1, #2*4] @ a[2] + umlal r3, r4, r0, r8 @ c += a[1] * b[6] + ldr r14, [r2, #5*4] @ b[5] + umlal r11, r12, r7, r8 @ c' += a[2] * b[6] + ldr r0, [r1, #3*4] @ a[3] + umlal r3, r4, r7, r14 @ c += a[2] * b[5] + ldr r8, [r2, #4*4] @ b[4] + umlal r11, r12, r0, r14 @ c' += a[3] * b[5] + ldr r7, [r1, #4*4] @ a[4] + umlal r3, r4, r0, r8 @ c += a[3] * b[4] + ldr r14, [r2, #3*4] @ b[3] + umlal r11, r12, r7, r8 @ c' += a[4] * b[4] + ldr r0, [r1, #5*4] @ a[5] + umlal r3, r4, r7, r14 @ c += a[4] * b[3] + ldr r8, [r2, #2*4] @ b[2] + umlal r11, r12, r0, r14 @ c' += a[5] * b[3] + ldr r7, [r1, #6*4] @ a[6] + umlal r3, r4, r0, r8 @ c += a[5] * b[2] + ldr r14, [r2, #1*4] @ b[1] + umlal r11, r12, r7, r8 @ c' += a[6] * b[2] + ldr r0, [r1, #7*4] @ a[7] + umlal r3, r4, r7, r14 @ c += a[6] * b[1] + ldr r8, [r2, #0*4] @ b[0] + umlal r11, r12, r0, r14 @ c' += a[7] * b[1] + ldr r7, [r1, #8*4] @ a[8] + umlal r3, r4, r0, r8 @ c += a[7] * b[0] + ldr r14, [r2, #9*4] @ b[9] + umlal r11, r12, r7, r8 @ c' += a[8] * b[0] + ldr r0, [r1, #9*4] @ a[9] + umlal r5, r6, r7, r14 @ d += a[8] * b[9] + ldr r8, [r2, #8*4] @ b[8] + umull r9, r10, r0, r14 @ d' = a[9] * b[9] + umlal r5, r6, r0, r8 @ d += a[9] * b[8] + + bic r0, r5, field_not_M @ u7 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u7 * R0 + umlal r3, r4, r0, r14 + + bic r14, r3, field_not_M @ t7 = c & M + str r14, [sp, #4 + 7*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u7 * R1 + umlal r3, r4, r0, r14 + + /* J */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u8 = d & M + str r0, [sp, #4 + 8*4] + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u8 * R0 + umlal r3, r4, r0, r14 + + /****************************************** + * compute and write back result + ****************************************** + Allocation: + r0 r + r3:r4 c + r5:r6 d + r7 t0 + r8 t1 + r9 t2 + r11 u8 + r12 t9 + r1,r2,r10,r14 scratch + + Note: do not read from a[] after here, it may overlap with r[] + */ + ldr r0, [sp, #0] + add r1, sp, #4 + 3*4 @ r[3..7] = t3..7, r11=u8, r12=t9 + ldmia r1, {r2,r7,r8,r9,r10,r11,r12} + add r1, r0, #3*4 + stmia r1, {r2,r7,r8,r9,r10} + + bic r2, r3, field_not_M @ r[8] = c & M + str r2, [r0, #8*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u8 * R1 + umlal r3, r4, r11, r14 + movw r14, field_R0 @ c += d * R0 + umlal r3, r4, r5, r14 + adds r3, r3, r12 @ c += t9 + adc r4, r4, #0 + + add r1, sp, #4 + 0*4 @ r7,r8,r9 = t0,t1,t2 + ldmia r1, {r7,r8,r9} + + ubfx r2, r3, #0, #22 @ r[9] = c & (M >> 4) + str r2, [r0, #9*4] + mov r3, r3, lsr #22 @ c >>= 22 + orr r3, r3, r4, asl #10 + mov r4, r4, lsr #22 + movw r14, field_R1 << 4 @ c += d * (R1 << 4) + umlal r3, r4, r5, r14 + + movw r14, field_R0 >> 4 @ d = c * (R0 >> 4) + t0 (64x64 multiply+add) + umull r5, r6, r3, r14 @ d = c.lo * (R0 >> 4) + adds r5, r5, r7 @ d.lo += t0 + mla r6, r14, r4, r6 @ d.hi += c.hi * (R0 >> 4) + adc r6, r6, 0 @ d.hi += carry + + bic r2, r5, field_not_M @ r[0] = d & M + str r2, [r0, #0*4] + + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + + movw r14, field_R1 >> 4 @ d += c * (R1 >> 4) + t1 (64x64 multiply+add) + umull r1, r2, r3, r14 @ tmp = c.lo * (R1 >> 4) + adds r5, r5, r8 @ d.lo += t1 + adc r6, r6, #0 @ d.hi += carry + adds r5, r5, r1 @ d.lo += tmp.lo + mla r2, r14, r4, r2 @ tmp.hi += c.hi * (R1 >> 4) + adc r6, r6, r2 @ d.hi += carry + tmp.hi + + bic r2, r5, field_not_M @ r[1] = d & M + str r2, [r0, #1*4] + mov r5, r5, lsr #26 @ d >>= 26 (ignore hi) + orr r5, r5, r6, asl #6 + + add r5, r5, r9 @ d += t2 + str r5, [r0, #2*4] @ r[2] = d + + add sp, sp, #48 + ldmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, pc} + .size secp256k1_fe_mul_inner, .-secp256k1_fe_mul_inner + + .align 2 + .global secp256k1_fe_sqr_inner + .type secp256k1_fe_sqr_inner, %function + @ Arguments: + @ r0 r Can overlap with a + @ r1 a + @ Stack (total 4+10*4 = 44) + @ sp + #0 saved 'r' pointer + @ sp + #4 + 4*X t0,t1,t2,t3,t4,t5,t6,t7,u8,t9 +secp256k1_fe_sqr_inner: + stmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, r14} + sub sp, sp, #48 @ frame=44 + alignment + str r0, [sp, #0] @ save result address, we need it only at the end + /****************************************** + * Main computation code. + ****************************************** + + Allocation: + r0,r14,r2,r7,r8 scratch + r1 a (pointer) + r3:r4 c + r5:r6 d + r11:r12 c' + r9:r10 d' + + Note: do not write to r[] here, it may overlap with a[] + */ + /* A interleaved with B */ + ldr r0, [r1, #1*4] @ a[1]*2 + ldr r7, [r1, #0*4] @ a[0] + mov r0, r0, asl #1 + ldr r14, [r1, #9*4] @ a[9] + umull r3, r4, r7, r7 @ c = a[0] * a[0] + ldr r8, [r1, #8*4] @ a[8] + mov r7, r7, asl #1 + umull r5, r6, r7, r14 @ d = a[0]*2 * a[9] + ldr r7, [r1, #2*4] @ a[2]*2 + umull r9, r10, r0, r14 @ d' = a[1]*2 * a[9] + ldr r14, [r1, #7*4] @ a[7] + umlal r5, r6, r0, r8 @ d += a[1]*2 * a[8] + mov r7, r7, asl #1 + ldr r0, [r1, #3*4] @ a[3]*2 + umlal r9, r10, r7, r8 @ d' += a[2]*2 * a[8] + ldr r8, [r1, #6*4] @ a[6] + umlal r5, r6, r7, r14 @ d += a[2]*2 * a[7] + mov r0, r0, asl #1 + ldr r7, [r1, #4*4] @ a[4]*2 + umlal r9, r10, r0, r14 @ d' += a[3]*2 * a[7] + ldr r14, [r1, #5*4] @ a[5] + mov r7, r7, asl #1 + umlal r5, r6, r0, r8 @ d += a[3]*2 * a[6] + umlal r9, r10, r7, r8 @ d' += a[4]*2 * a[6] + umlal r5, r6, r7, r14 @ d += a[4]*2 * a[5] + umlal r9, r10, r14, r14 @ d' += a[5] * a[5] + + bic r0, r5, field_not_M @ t9 = d & M + str r0, [sp, #4 + 9*4] + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + + /* B */ + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u0 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u0 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t0 = c & M + str r14, [sp, #4 + 0*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u0 * R1 + umlal r3, r4, r0, r14 + + /* C interleaved with D */ + ldr r0, [r1, #0*4] @ a[0]*2 + ldr r14, [r1, #1*4] @ a[1] + mov r0, r0, asl #1 + ldr r8, [r1, #2*4] @ a[2] + umlal r3, r4, r0, r14 @ c += a[0]*2 * a[1] + mov r7, r8, asl #1 @ a[2]*2 + umull r11, r12, r14, r14 @ c' = a[1] * a[1] + ldr r14, [r1, #9*4] @ a[9] + umlal r11, r12, r0, r8 @ c' += a[0]*2 * a[2] + ldr r0, [r1, #3*4] @ a[3]*2 + ldr r8, [r1, #8*4] @ a[8] + umlal r5, r6, r7, r14 @ d += a[2]*2 * a[9] + mov r0, r0, asl #1 + ldr r7, [r1, #4*4] @ a[4]*2 + umull r9, r10, r0, r14 @ d' = a[3]*2 * a[9] + ldr r14, [r1, #7*4] @ a[7] + umlal r5, r6, r0, r8 @ d += a[3]*2 * a[8] + mov r7, r7, asl #1 + ldr r0, [r1, #5*4] @ a[5]*2 + umlal r9, r10, r7, r8 @ d' += a[4]*2 * a[8] + ldr r8, [r1, #6*4] @ a[6] + mov r0, r0, asl #1 + umlal r5, r6, r7, r14 @ d += a[4]*2 * a[7] + umlal r9, r10, r0, r14 @ d' += a[5]*2 * a[7] + umlal r5, r6, r0, r8 @ d += a[5]*2 * a[6] + umlal r9, r10, r8, r8 @ d' += a[6] * a[6] + + bic r0, r5, field_not_M @ u1 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u1 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t1 = c & M + str r14, [sp, #4 + 1*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u1 * R1 + umlal r3, r4, r0, r14 + + /* D */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u2 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u2 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t2 = c & M + str r14, [sp, #4 + 2*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u2 * R1 + umlal r3, r4, r0, r14 + + /* E interleaved with F */ + ldr r7, [r1, #0*4] @ a[0]*2 + ldr r0, [r1, #1*4] @ a[1]*2 + ldr r14, [r1, #2*4] @ a[2] + mov r7, r7, asl #1 + ldr r8, [r1, #3*4] @ a[3] + ldr r2, [r1, #4*4] + umlal r3, r4, r7, r8 @ c += a[0]*2 * a[3] + mov r0, r0, asl #1 + umull r11, r12, r7, r2 @ c' = a[0]*2 * a[4] + mov r2, r2, asl #1 @ a[4]*2 + umlal r11, r12, r0, r8 @ c' += a[1]*2 * a[3] + ldr r8, [r1, #9*4] @ a[9] + umlal r3, r4, r0, r14 @ c += a[1]*2 * a[2] + ldr r0, [r1, #5*4] @ a[5]*2 + umlal r11, r12, r14, r14 @ c' += a[2] * a[2] + ldr r14, [r1, #8*4] @ a[8] + mov r0, r0, asl #1 + umlal r5, r6, r2, r8 @ d += a[4]*2 * a[9] + ldr r7, [r1, #6*4] @ a[6]*2 + umull r9, r10, r0, r8 @ d' = a[5]*2 * a[9] + mov r7, r7, asl #1 + ldr r8, [r1, #7*4] @ a[7] + umlal r5, r6, r0, r14 @ d += a[5]*2 * a[8] + umlal r9, r10, r7, r14 @ d' += a[6]*2 * a[8] + umlal r5, r6, r7, r8 @ d += a[6]*2 * a[7] + umlal r9, r10, r8, r8 @ d' += a[7] * a[7] + + bic r0, r5, field_not_M @ u3 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u3 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t3 = c & M + str r14, [sp, #4 + 3*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u3 * R1 + umlal r3, r4, r0, r14 + + /* F */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u4 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u4 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t4 = c & M + str r14, [sp, #4 + 4*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u4 * R1 + umlal r3, r4, r0, r14 + + /* G interleaved with H */ + ldr r7, [r1, #0*4] @ a[0]*2 + ldr r0, [r1, #1*4] @ a[1]*2 + mov r7, r7, asl #1 + ldr r8, [r1, #5*4] @ a[5] + ldr r2, [r1, #6*4] @ a[6] + umlal r3, r4, r7, r8 @ c += a[0]*2 * a[5] + ldr r14, [r1, #4*4] @ a[4] + mov r0, r0, asl #1 + umull r11, r12, r7, r2 @ c' = a[0]*2 * a[6] + ldr r7, [r1, #2*4] @ a[2]*2 + umlal r11, r12, r0, r8 @ c' += a[1]*2 * a[5] + mov r7, r7, asl #1 + ldr r8, [r1, #3*4] @ a[3] + umlal r3, r4, r0, r14 @ c += a[1]*2 * a[4] + mov r0, r2, asl #1 @ a[6]*2 + umlal r11, r12, r7, r14 @ c' += a[2]*2 * a[4] + ldr r14, [r1, #9*4] @ a[9] + umlal r3, r4, r7, r8 @ c += a[2]*2 * a[3] + ldr r7, [r1, #7*4] @ a[7]*2 + umlal r11, r12, r8, r8 @ c' += a[3] * a[3] + mov r7, r7, asl #1 + ldr r8, [r1, #8*4] @ a[8] + umlal r5, r6, r0, r14 @ d += a[6]*2 * a[9] + umull r9, r10, r7, r14 @ d' = a[7]*2 * a[9] + umlal r5, r6, r7, r8 @ d += a[7]*2 * a[8] + umlal r9, r10, r8, r8 @ d' += a[8] * a[8] + + bic r0, r5, field_not_M @ u5 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u5 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t5 = c & M + str r14, [sp, #4 + 5*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u5 * R1 + umlal r3, r4, r0, r14 + + /* H */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + adds r5, r5, r9 @ d += d' + adc r6, r6, r10 + + bic r0, r5, field_not_M @ u6 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u6 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t6 = c & M + str r14, [sp, #4 + 6*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u6 * R1 + umlal r3, r4, r0, r14 + + /* I interleaved with J */ + ldr r7, [r1, #0*4] @ a[0]*2 + ldr r0, [r1, #1*4] @ a[1]*2 + mov r7, r7, asl #1 + ldr r8, [r1, #7*4] @ a[7] + ldr r2, [r1, #8*4] @ a[8] + umlal r3, r4, r7, r8 @ c += a[0]*2 * a[7] + ldr r14, [r1, #6*4] @ a[6] + mov r0, r0, asl #1 + umull r11, r12, r7, r2 @ c' = a[0]*2 * a[8] + ldr r7, [r1, #2*4] @ a[2]*2 + umlal r11, r12, r0, r8 @ c' += a[1]*2 * a[7] + ldr r8, [r1, #5*4] @ a[5] + umlal r3, r4, r0, r14 @ c += a[1]*2 * a[6] + ldr r0, [r1, #3*4] @ a[3]*2 + mov r7, r7, asl #1 + umlal r11, r12, r7, r14 @ c' += a[2]*2 * a[6] + ldr r14, [r1, #4*4] @ a[4] + mov r0, r0, asl #1 + umlal r3, r4, r7, r8 @ c += a[2]*2 * a[5] + mov r2, r2, asl #1 @ a[8]*2 + umlal r11, r12, r0, r8 @ c' += a[3]*2 * a[5] + umlal r3, r4, r0, r14 @ c += a[3]*2 * a[4] + umlal r11, r12, r14, r14 @ c' += a[4] * a[4] + ldr r8, [r1, #9*4] @ a[9] + umlal r5, r6, r2, r8 @ d += a[8]*2 * a[9] + @ r8 will be used in J + + bic r0, r5, field_not_M @ u7 = d & M + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u7 * R0 + umlal r3, r4, r0, r14 + bic r14, r3, field_not_M @ t7 = c & M + str r14, [sp, #4 + 7*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u7 * R1 + umlal r3, r4, r0, r14 + + /* J */ + adds r3, r3, r11 @ c += c' + adc r4, r4, r12 + umlal r5, r6, r8, r8 @ d += a[9] * a[9] + + bic r0, r5, field_not_M @ u8 = d & M + str r0, [sp, #4 + 8*4] + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + movw r14, field_R0 @ c += u8 * R0 + umlal r3, r4, r0, r14 + + /****************************************** + * compute and write back result + ****************************************** + Allocation: + r0 r + r3:r4 c + r5:r6 d + r7 t0 + r8 t1 + r9 t2 + r11 u8 + r12 t9 + r1,r2,r10,r14 scratch + + Note: do not read from a[] after here, it may overlap with r[] + */ + ldr r0, [sp, #0] + add r1, sp, #4 + 3*4 @ r[3..7] = t3..7, r11=u8, r12=t9 + ldmia r1, {r2,r7,r8,r9,r10,r11,r12} + add r1, r0, #3*4 + stmia r1, {r2,r7,r8,r9,r10} + + bic r2, r3, field_not_M @ r[8] = c & M + str r2, [r0, #8*4] + mov r3, r3, lsr #26 @ c >>= 26 + orr r3, r3, r4, asl #6 + mov r4, r4, lsr #26 + mov r14, field_R1 @ c += u8 * R1 + umlal r3, r4, r11, r14 + movw r14, field_R0 @ c += d * R0 + umlal r3, r4, r5, r14 + adds r3, r3, r12 @ c += t9 + adc r4, r4, #0 + + add r1, sp, #4 + 0*4 @ r7,r8,r9 = t0,t1,t2 + ldmia r1, {r7,r8,r9} + + ubfx r2, r3, #0, #22 @ r[9] = c & (M >> 4) + str r2, [r0, #9*4] + mov r3, r3, lsr #22 @ c >>= 22 + orr r3, r3, r4, asl #10 + mov r4, r4, lsr #22 + movw r14, field_R1 << 4 @ c += d * (R1 << 4) + umlal r3, r4, r5, r14 + + movw r14, field_R0 >> 4 @ d = c * (R0 >> 4) + t0 (64x64 multiply+add) + umull r5, r6, r3, r14 @ d = c.lo * (R0 >> 4) + adds r5, r5, r7 @ d.lo += t0 + mla r6, r14, r4, r6 @ d.hi += c.hi * (R0 >> 4) + adc r6, r6, 0 @ d.hi += carry + + bic r2, r5, field_not_M @ r[0] = d & M + str r2, [r0, #0*4] + + mov r5, r5, lsr #26 @ d >>= 26 + orr r5, r5, r6, asl #6 + mov r6, r6, lsr #26 + + movw r14, field_R1 >> 4 @ d += c * (R1 >> 4) + t1 (64x64 multiply+add) + umull r1, r2, r3, r14 @ tmp = c.lo * (R1 >> 4) + adds r5, r5, r8 @ d.lo += t1 + adc r6, r6, #0 @ d.hi += carry + adds r5, r5, r1 @ d.lo += tmp.lo + mla r2, r14, r4, r2 @ tmp.hi += c.hi * (R1 >> 4) + adc r6, r6, r2 @ d.hi += carry + tmp.hi + + bic r2, r5, field_not_M @ r[1] = d & M + str r2, [r0, #1*4] + mov r5, r5, lsr #26 @ d >>= 26 (ignore hi) + orr r5, r5, r6, asl #6 + + add r5, r5, r9 @ d += t2 + str r5, [r0, #2*4] @ r[2] = d + + add sp, sp, #48 + ldmfd sp!, {r4, r5, r6, r7, r8, r9, r10, r11, pc} + .size secp256k1_fe_sqr_inner, .-secp256k1_fe_sqr_inner + diff --git a/crypto/secp256k1/libsecp256k1/src/bench_ecdh.c b/crypto/secp256k1/libsecp256k1/src/bench_ecdh.c index 5a7c6376e..cde5e2dbb 100644 --- a/crypto/secp256k1/libsecp256k1/src/bench_ecdh.c +++ b/crypto/secp256k1/libsecp256k1/src/bench_ecdh.c @@ -28,7 +28,8 @@ static void bench_ecdh_setup(void* arg) { 0xa2, 0xba, 0xd1, 0x84, 0xf8, 0x83, 0xc6, 0x9f }; - data->ctx = secp256k1_context_create(0); + /* create a context with no capabilities */ + data->ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT); for (i = 0; i < 32; i++) { data->scalar[i] = i + 1; } diff --git a/crypto/secp256k1/libsecp256k1/src/bench_internal.c b/crypto/secp256k1/libsecp256k1/src/bench_internal.c index 7809f5f8c..0809f77bd 100644 --- a/crypto/secp256k1/libsecp256k1/src/bench_internal.c +++ b/crypto/secp256k1/libsecp256k1/src/bench_internal.c @@ -181,12 +181,12 @@ void bench_field_inverse_var(void* arg) { } } -void bench_field_sqrt_var(void* arg) { +void bench_field_sqrt(void* arg) { int i; bench_inv_t *data = (bench_inv_t*)arg; for (i = 0; i < 20000; i++) { - secp256k1_fe_sqrt_var(&data->fe_x, &data->fe_x); + secp256k1_fe_sqrt(&data->fe_x, &data->fe_x); secp256k1_fe_add(&data->fe_x, &data->fe_y); } } @@ -227,6 +227,15 @@ void bench_group_add_affine_var(void* arg) { } } +void bench_group_jacobi_var(void* arg) { + int i; + bench_inv_t *data = (bench_inv_t*)arg; + + for (i = 0; i < 20000; i++) { + secp256k1_gej_has_quad_y_var(&data->gej_x); + } +} + void bench_ecmult_wnaf(void* arg) { int i; bench_inv_t *data = (bench_inv_t*)arg; @@ -299,6 +308,21 @@ void bench_context_sign(void* arg) { } } +#ifndef USE_NUM_NONE +void bench_num_jacobi(void* arg) { + int i; + bench_inv_t *data = (bench_inv_t*)arg; + secp256k1_num nx, norder; + + secp256k1_scalar_get_num(&nx, &data->scalar_x); + secp256k1_scalar_order_get_num(&norder); + secp256k1_scalar_get_num(&norder, &data->scalar_y); + + for (i = 0; i < 200000; i++) { + secp256k1_num_jacobi(&nx, &norder); + } +} +#endif int have_flag(int argc, char** argv, char *flag) { char** argm = argv + argc; @@ -333,12 +357,13 @@ int main(int argc, char **argv) { if (have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, 200000); if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, 20000); - if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt_var", bench_field_sqrt_var, bench_setup, NULL, &data, 10, 20000); + if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, 200000); if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, 200000); if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, 200000); if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, 200000); + if (have_flag(argc, argv, "group") || have_flag(argc, argv, "jacobi")) run_benchmark("group_jacobi_var", bench_group_jacobi_var, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, 20000); if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, 20000); @@ -350,5 +375,8 @@ int main(int argc, char **argv) { if (have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 20); if (have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 200); +#ifndef USE_NUM_NONE + if (have_flag(argc, argv, "num") || have_flag(argc, argv, "jacobi")) run_benchmark("num_jacobi", bench_num_jacobi, bench_setup, NULL, &data, 10, 200000); +#endif return 0; } diff --git a/crypto/secp256k1/libsecp256k1/src/bench_verify.c b/crypto/secp256k1/libsecp256k1/src/bench_verify.c index 0cafbdc4e..418defa0a 100644 --- a/crypto/secp256k1/libsecp256k1/src/bench_verify.c +++ b/crypto/secp256k1/libsecp256k1/src/bench_verify.c @@ -11,6 +11,12 @@ #include "util.h" #include "bench.h" +#ifdef ENABLE_OPENSSL_TESTS +#include <openssl/bn.h> +#include <openssl/ecdsa.h> +#include <openssl/obj_mac.h> +#endif + typedef struct { secp256k1_context *ctx; unsigned char msg[32]; @@ -19,6 +25,9 @@ typedef struct { size_t siglen; unsigned char pubkey[33]; size_t pubkeylen; +#ifdef ENABLE_OPENSSL_TESTS + EC_GROUP* ec_group; +#endif } benchmark_verify_t; static void benchmark_verify(void* arg) { @@ -40,6 +49,36 @@ static void benchmark_verify(void* arg) { } } +#ifdef ENABLE_OPENSSL_TESTS +static void benchmark_verify_openssl(void* arg) { + int i; + benchmark_verify_t* data = (benchmark_verify_t*)arg; + + for (i = 0; i < 20000; i++) { + data->sig[data->siglen - 1] ^= (i & 0xFF); + data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); + data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); + { + EC_KEY *pkey = EC_KEY_new(); + const unsigned char *pubkey = &data->pubkey[0]; + int result; + + CHECK(pkey != NULL); + result = EC_KEY_set_group(pkey, data->ec_group); + CHECK(result); + result = (o2i_ECPublicKey(&pkey, &pubkey, data->pubkeylen)) != NULL; + CHECK(result); + result = ECDSA_verify(0, &data->msg[0], sizeof(data->msg), &data->sig[0], data->siglen, pkey) == (i == 0); + CHECK(result); + EC_KEY_free(pkey); + } + data->sig[data->siglen - 1] ^= (i & 0xFF); + data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF); + data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF); + } +} +#endif + int main(void) { int i; secp256k1_pubkey pubkey; @@ -58,9 +97,15 @@ int main(void) { CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL)); CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig)); CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key)); + data.pubkeylen = 33; CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1); run_benchmark("ecdsa_verify", benchmark_verify, NULL, NULL, &data, 10, 20000); +#ifdef ENABLE_OPENSSL_TESTS + data.ec_group = EC_GROUP_new_by_curve_name(NID_secp256k1); + run_benchmark("ecdsa_verify_openssl", benchmark_verify_openssl, NULL, NULL, &data, 10, 20000); + EC_GROUP_free(data.ec_group); +#endif secp256k1_context_destroy(data.ctx); return 0; diff --git a/crypto/secp256k1/libsecp256k1/src/ecdsa.h b/crypto/secp256k1/libsecp256k1/src/ecdsa.h index 4c0a4a89e..54ae101b9 100644 --- a/crypto/secp256k1/libsecp256k1/src/ecdsa.h +++ b/crypto/secp256k1/libsecp256k1/src/ecdsa.h @@ -17,6 +17,5 @@ static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, c static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s); static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid); -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid); #endif diff --git a/crypto/secp256k1/libsecp256k1/src/ecdsa_impl.h b/crypto/secp256k1/libsecp256k1/src/ecdsa_impl.h index 4a172b3c5..453bb1188 100644 --- a/crypto/secp256k1/libsecp256k1/src/ecdsa_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/ecdsa_impl.h @@ -1,5 +1,5 @@ /********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * + * Copyright (c) 2013-2015 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ @@ -46,66 +46,133 @@ static const secp256k1_fe secp256k1_ecdsa_const_p_minus_order = SECP256K1_FE_CON 0, 0, 0, 1, 0x45512319UL, 0x50B75FC4UL, 0x402DA172UL, 0x2FC9BAEEUL ); -static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *rr, secp256k1_scalar *rs, const unsigned char *sig, size_t size) { - unsigned char ra[32] = {0}, sa[32] = {0}; - const unsigned char *rp; - const unsigned char *sp; - size_t lenr; - size_t lens; - int overflow; - if (sig[0] != 0x30) { - return 0; +static int secp256k1_der_read_len(const unsigned char **sigp, const unsigned char *sigend) { + int lenleft, b1; + size_t ret = 0; + if (*sigp >= sigend) { + return -1; } - lenr = sig[3]; - if (5+lenr >= size) { - return 0; + b1 = *((*sigp)++); + if (b1 == 0xFF) { + /* X.690-0207 8.1.3.5.c the value 0xFF shall not be used. */ + return -1; } - lens = sig[lenr+5]; - if (sig[1] != lenr+lens+4) { - return 0; + if ((b1 & 0x80) == 0) { + /* X.690-0207 8.1.3.4 short form length octets */ + return b1; } - if (lenr+lens+6 > size) { - return 0; + if (b1 == 0x80) { + /* Indefinite length is not allowed in DER. */ + return -1; + } + /* X.690-207 8.1.3.5 long form length octets */ + lenleft = b1 & 0x7F; + if (lenleft > sigend - *sigp) { + return -1; + } + if (**sigp == 0) { + /* Not the shortest possible length encoding. */ + return -1; } - if (sig[2] != 0x02) { + if ((size_t)lenleft > sizeof(size_t)) { + /* The resulting length would exceed the range of a size_t, so + * certainly longer than the passed array size. + */ + return -1; + } + while (lenleft > 0) { + if ((ret >> ((sizeof(size_t) - 1) * 8)) != 0) { + } + ret = (ret << 8) | **sigp; + if (ret + lenleft > (size_t)(sigend - *sigp)) { + /* Result exceeds the length of the passed array. */ + return -1; + } + (*sigp)++; + lenleft--; + } + if (ret < 128) { + /* Not the shortest possible length encoding. */ + return -1; + } + return ret; +} + +static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char **sig, const unsigned char *sigend) { + int overflow = 0; + unsigned char ra[32] = {0}; + int rlen; + + if (*sig == sigend || **sig != 0x02) { + /* Not a primitive integer (X.690-0207 8.3.1). */ return 0; } - if (lenr == 0) { + (*sig)++; + rlen = secp256k1_der_read_len(sig, sigend); + if (rlen <= 0 || (*sig) + rlen > sigend) { + /* Exceeds bounds or not at least length 1 (X.690-0207 8.3.1). */ return 0; } - if (sig[lenr+4] != 0x02) { + if (**sig == 0x00 && rlen > 1 && (((*sig)[1]) & 0x80) == 0x00) { + /* Excessive 0x00 padding. */ return 0; } - if (lens == 0) { + if (**sig == 0xFF && rlen > 1 && (((*sig)[1]) & 0x80) == 0x80) { + /* Excessive 0xFF padding. */ return 0; } - sp = sig + 6 + lenr; - while (lens > 0 && sp[0] == 0) { - lens--; - sp++; + if ((**sig & 0x80) == 0x80) { + /* Negative. */ + overflow = 1; + } + while (rlen > 0 && **sig == 0) { + /* Skip leading zero bytes */ + rlen--; + (*sig)++; + } + if (rlen > 32) { + overflow = 1; + } + if (!overflow) { + memcpy(ra + 32 - rlen, *sig, rlen); + secp256k1_scalar_set_b32(r, ra, &overflow); + } + if (overflow) { + secp256k1_scalar_set_int(r, 0); + } + (*sig) += rlen; + return 1; +} + +static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *rr, secp256k1_scalar *rs, const unsigned char *sig, size_t size) { + const unsigned char *sigend = sig + size; + int rlen; + if (sig == sigend || *(sig++) != 0x30) { + /* The encoding doesn't start with a constructed sequence (X.690-0207 8.9.1). */ + return 0; } - if (lens > 32) { + rlen = secp256k1_der_read_len(&sig, sigend); + if (rlen < 0 || sig + rlen > sigend) { + /* Tuple exceeds bounds */ return 0; } - rp = sig + 4; - while (lenr > 0 && rp[0] == 0) { - lenr--; - rp++; + if (sig + rlen != sigend) { + /* Garbage after tuple. */ + return 0; } - if (lenr > 32) { + + if (!secp256k1_der_parse_integer(rr, &sig, sigend)) { return 0; } - memcpy(ra + 32 - lenr, rp, lenr); - memcpy(sa + 32 - lens, sp, lens); - overflow = 0; - secp256k1_scalar_set_b32(rr, ra, &overflow); - if (overflow) { + if (!secp256k1_der_parse_integer(rs, &sig, sigend)) { return 0; } - secp256k1_scalar_set_b32(rs, sa, &overflow); - if (overflow) { + + if (sig != sigend) { + /* Trailing garbage inside tuple. */ return 0; } + return 1; } @@ -136,7 +203,9 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { unsigned char c[32]; secp256k1_scalar sn, u1, u2; +#if !defined(EXHAUSTIVE_TEST_ORDER) secp256k1_fe xr; +#endif secp256k1_gej pubkeyj; secp256k1_gej pr; @@ -152,6 +221,19 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const if (secp256k1_gej_is_infinity(&pr)) { return 0; } + +#if defined(EXHAUSTIVE_TEST_ORDER) +{ + secp256k1_scalar computed_r; + secp256k1_ge pr_ge; + secp256k1_ge_set_gej(&pr_ge, &pr); + secp256k1_fe_normalize(&pr_ge.x); + + secp256k1_fe_get_b32(c, &pr_ge.x); + secp256k1_scalar_set_b32(&computed_r, c, NULL); + return secp256k1_scalar_eq(sigr, &computed_r); +} +#else secp256k1_scalar_get_b32(c, sigr); secp256k1_fe_set_b32(&xr, c); @@ -172,11 +254,11 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const * secp256k1_gej_eq_x implements the (xr * pr.z^2 mod p == pr.x) test. */ if (secp256k1_gej_eq_x_var(&xr, &pr)) { - /* xr.x == xr * xr.z^2 mod p, so the signature is valid. */ + /* xr * pr.z^2 mod p == pr.x, so the signature is valid. */ return 1; } if (secp256k1_fe_cmp_var(&xr, &secp256k1_ecdsa_const_p_minus_order) >= 0) { - /* xr + p >= n, so we can skip testing the second case. */ + /* xr + n >= p, so we can skip testing the second case. */ return 0; } secp256k1_fe_add(&xr, &secp256k1_ecdsa_const_order_as_fe); @@ -185,39 +267,7 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const return 1; } return 0; -} - -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { - unsigned char brx[32]; - secp256k1_fe fx; - secp256k1_ge x; - secp256k1_gej xj; - secp256k1_scalar rn, u1, u2; - secp256k1_gej qj; - - if (secp256k1_scalar_is_zero(sigr) || secp256k1_scalar_is_zero(sigs)) { - return 0; - } - - secp256k1_scalar_get_b32(brx, sigr); - VERIFY_CHECK(secp256k1_fe_set_b32(&fx, brx)); /* brx comes from a scalar, so is less than the order; certainly less than p */ - if (recid & 2) { - if (secp256k1_fe_cmp_var(&fx, &secp256k1_ecdsa_const_p_minus_order) >= 0) { - return 0; - } - secp256k1_fe_add(&fx, &secp256k1_ecdsa_const_order_as_fe); - } - if (!secp256k1_ge_set_xo_var(&x, &fx, recid & 1)) { - return 0; - } - secp256k1_gej_set_ge(&xj, &x); - secp256k1_scalar_inverse_var(&rn, sigr); - secp256k1_scalar_mul(&u1, &rn, message); - secp256k1_scalar_negate(&u1, &u1); - secp256k1_scalar_mul(&u2, &rn, sigs); - secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); - secp256k1_ge_set_gej_var(pubkey, &qj); - return !secp256k1_gej_is_infinity(&qj); +#endif } static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid) { @@ -233,13 +283,14 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec secp256k1_fe_normalize(&r.y); secp256k1_fe_get_b32(b, &r.x); secp256k1_scalar_set_b32(sigr, b, &overflow); - if (secp256k1_scalar_is_zero(sigr)) { - /* P.x = order is on the curve, so technically sig->r could end up zero, which would be an invalid signature. */ - secp256k1_gej_clear(&rp); - secp256k1_ge_clear(&r); - return 0; - } + /* These two conditions should be checked before calling */ + VERIFY_CHECK(!secp256k1_scalar_is_zero(sigr)); + VERIFY_CHECK(overflow == 0); + if (recid) { + /* The overflow condition is cryptographically unreachable as hitting it requires finding the discrete log + * of some P where P.x >= order, and only 1 in about 2^127 points meet this criteria. + */ *recid = (overflow ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0); } secp256k1_scalar_mul(&n, sigr, seckey); diff --git a/crypto/secp256k1/libsecp256k1/src/eckey.h b/crypto/secp256k1/libsecp256k1/src/eckey.h index 71c4096df..42739a3be 100644 --- a/crypto/secp256k1/libsecp256k1/src/eckey.h +++ b/crypto/secp256k1/libsecp256k1/src/eckey.h @@ -15,10 +15,7 @@ #include "ecmult_gen.h" static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char *pub, size_t size); -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, unsigned int flags); - -static int secp256k1_eckey_privkey_parse(secp256k1_scalar *key, const unsigned char *privkey, size_t privkeylen); -static int secp256k1_eckey_privkey_serialize(const secp256k1_ecmult_gen_context *ctx, unsigned char *privkey, size_t *privkeylen, const secp256k1_scalar *key, unsigned int flags); +static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed); static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak); static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); diff --git a/crypto/secp256k1/libsecp256k1/src/eckey_impl.h b/crypto/secp256k1/libsecp256k1/src/eckey_impl.h index ae4424015..ce38071ac 100644 --- a/crypto/secp256k1/libsecp256k1/src/eckey_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/eckey_impl.h @@ -33,14 +33,14 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char } } -static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, unsigned int flags) { +static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed) { if (secp256k1_ge_is_infinity(elem)) { return 0; } secp256k1_fe_normalize_var(&elem->x); secp256k1_fe_normalize_var(&elem->y); secp256k1_fe_get_b32(&pub[1], &elem->x); - if (flags & SECP256K1_EC_COMPRESSED) { + if (compressed) { *size = 33; pub[0] = 0x02 | (secp256k1_fe_is_odd(&elem->y) ? 0x01 : 0x00); } else { @@ -51,109 +51,6 @@ static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *p return 1; } -static int secp256k1_eckey_privkey_parse(secp256k1_scalar *key, const unsigned char *privkey, size_t privkeylen) { - unsigned char c[32] = {0}; - const unsigned char *end = privkey + privkeylen; - int lenb = 0; - int len = 0; - int overflow = 0; - /* sequence header */ - if (end < privkey+1 || *privkey != 0x30) { - return 0; - } - privkey++; - /* sequence length constructor */ - if (end < privkey+1 || !(*privkey & 0x80)) { - return 0; - } - lenb = *privkey & ~0x80; privkey++; - if (lenb < 1 || lenb > 2) { - return 0; - } - if (end < privkey+lenb) { - return 0; - } - /* sequence length */ - len = privkey[lenb-1] | (lenb > 1 ? privkey[lenb-2] << 8 : 0); - privkey += lenb; - if (end < privkey+len) { - return 0; - } - /* sequence element 0: version number (=1) */ - if (end < privkey+3 || privkey[0] != 0x02 || privkey[1] != 0x01 || privkey[2] != 0x01) { - return 0; - } - privkey += 3; - /* sequence element 1: octet string, up to 32 bytes */ - if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) { - return 0; - } - memcpy(c + 32 - privkey[1], privkey + 2, privkey[1]); - secp256k1_scalar_set_b32(key, c, &overflow); - memset(c, 0, 32); - return !overflow; -} - -static int secp256k1_eckey_privkey_serialize(const secp256k1_ecmult_gen_context *ctx, unsigned char *privkey, size_t *privkeylen, const secp256k1_scalar *key, unsigned int flags) { - secp256k1_gej rp; - secp256k1_ge r; - size_t pubkeylen = 0; - secp256k1_ecmult_gen(ctx, &rp, key); - secp256k1_ge_set_gej(&r, &rp); - if (flags & SECP256K1_EC_COMPRESSED) { - static const unsigned char begin[] = { - 0x30,0x81,0xD3,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0x85,0x30,0x81,0x82,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x21,0x02,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, - 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, - 0x17,0x98,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, - 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x24,0x03,0x22,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - secp256k1_scalar_get_b32(ptr, key); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - if (!secp256k1_eckey_pubkey_serialize(&r, ptr, &pubkeylen, 1)) { - return 0; - } - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } else { - static const unsigned char begin[] = { - 0x30,0x82,0x01,0x13,0x02,0x01,0x01,0x04,0x20 - }; - static const unsigned char middle[] = { - 0xA0,0x81,0xA5,0x30,0x81,0xA2,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48, - 0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04, - 0x41,0x04,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87, - 0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8, - 0x17,0x98,0x48,0x3A,0xDA,0x77,0x26,0xA3,0xC4,0x65,0x5D,0xA4,0xFB,0xFC,0x0E,0x11, - 0x08,0xA8,0xFD,0x17,0xB4,0x48,0xA6,0x85,0x54,0x19,0x9C,0x47,0xD0,0x8F,0xFB,0x10, - 0xD4,0xB8,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, - 0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E, - 0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x44,0x03,0x42,0x00 - }; - unsigned char *ptr = privkey; - memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin); - secp256k1_scalar_get_b32(ptr, key); ptr += 32; - memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle); - if (!secp256k1_eckey_pubkey_serialize(&r, ptr, &pubkeylen, 0)) { - return 0; - } - ptr += pubkeylen; - *privkeylen = ptr - privkey; - } - return 1; -} - static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak) { secp256k1_scalar_add(key, key, tweak); if (secp256k1_scalar_is_zero(key)) { diff --git a/crypto/secp256k1/libsecp256k1/src/ecmult_const_impl.h b/crypto/secp256k1/libsecp256k1/src/ecmult_const_impl.h index 90ac94770..0db314c48 100644 --- a/crypto/secp256k1/libsecp256k1/src/ecmult_const_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/ecmult_const_impl.h @@ -58,25 +58,27 @@ static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) { int global_sign; int skew = 0; int word = 0; + /* 1 2 3 */ int u_last; int u; -#ifdef USE_ENDOMORPHISM int flip; int bit; secp256k1_scalar neg_s; int not_neg_one; - /* If we are using the endomorphism, we cannot handle even numbers by negating - * them, since we are working with 128-bit numbers whose negations would be 256 - * bits, eliminating the performance advantage. Instead we use a technique from + /* Note that we cannot handle even numbers by negating them to be odd, as is + * done in other implementations, since if our scalars were specified to have + * width < 256 for performance reasons, their negations would have width 256 + * and we'd lose any performance benefit. Instead, we use a technique from * Section 4.2 of the Okeya/Tagaki paper, which is to add either 1 (for even) - * or 2 (for odd) to the number we are encoding, then compensating after the - * multiplication. */ - /* Negative 128-bit numbers will be negated, since otherwise they are 256-bit */ + * or 2 (for odd) to the number we are encoding, returning a skew value indicating + * this, and having the caller compensate after doing the multiplication. */ + + /* Negative numbers will be negated to keep their bit representation below the maximum width */ flip = secp256k1_scalar_is_high(&s); /* We add 1 to even numbers, 2 to odd ones, noting that negation flips parity */ - bit = flip ^ (s.d[0] & 1); + bit = flip ^ !secp256k1_scalar_is_even(&s); /* We check for negative one, since adding 2 to it will cause an overflow */ secp256k1_scalar_negate(&neg_s, &s); not_neg_one = !secp256k1_scalar_is_one(&neg_s); @@ -89,11 +91,6 @@ static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) { global_sign = secp256k1_scalar_cond_negate(&s, flip); global_sign *= not_neg_one * 2 - 1; skew = 1 << bit; -#else - /* Otherwise, we just negate to force oddness */ - int is_even = secp256k1_scalar_is_even(&s); - global_sign = secp256k1_scalar_cond_negate(&s, is_even); -#endif /* 4 */ u_last = secp256k1_scalar_shr_int(&s, w); @@ -127,15 +124,13 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons secp256k1_ge tmpa; secp256k1_fe Z; + int skew_1; + int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)]; #ifdef USE_ENDOMORPHISM secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; - int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)]; int wnaf_lam[1 + WNAF_SIZE(WINDOW_A - 1)]; - int skew_1; int skew_lam; secp256k1_scalar q_1, q_lam; -#else - int wnaf[1 + WNAF_SIZE(WINDOW_A - 1)]; #endif int i; @@ -145,18 +140,10 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons #ifdef USE_ENDOMORPHISM /* split q into q_1 and q_lam (where q = q_1 + q_lam*lambda, and q_1 and q_lam are ~128 bit) */ secp256k1_scalar_split_lambda(&q_1, &q_lam, &sc); - /* no need for zero correction when using endomorphism since even - * numbers have one added to them anyway */ skew_1 = secp256k1_wnaf_const(wnaf_1, q_1, WINDOW_A - 1); skew_lam = secp256k1_wnaf_const(wnaf_lam, q_lam, WINDOW_A - 1); #else - int is_zero = secp256k1_scalar_is_zero(scalar); - /* the wNAF ladder cannot handle zero, so bump this to one .. we will - * correct the result after the fact */ - sc.d[0] += is_zero; - VERIFY_CHECK(!secp256k1_scalar_is_zero(&sc)); - - secp256k1_wnaf_const(wnaf, sc, WINDOW_A - 1); + skew_1 = secp256k1_wnaf_const(wnaf_1, sc, WINDOW_A - 1); #endif /* Calculate odd multiples of a. @@ -179,21 +166,15 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons /* first loop iteration (separated out so we can directly set r, rather * than having it start at infinity, get doubled several times, then have * its new value added to it) */ -#ifdef USE_ENDOMORPHISM i = wnaf_1[WNAF_SIZE(WINDOW_A - 1)]; VERIFY_CHECK(i != 0); ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); secp256k1_gej_set_ge(r, &tmpa); - +#ifdef USE_ENDOMORPHISM i = wnaf_lam[WNAF_SIZE(WINDOW_A - 1)]; VERIFY_CHECK(i != 0); ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, i, WINDOW_A); secp256k1_gej_add_ge(r, r, &tmpa); -#else - i = wnaf[WNAF_SIZE(WINDOW_A - 1)]; - VERIFY_CHECK(i != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A); - secp256k1_gej_set_ge(r, &tmpa); #endif /* remaining loop iterations */ for (i = WNAF_SIZE(WINDOW_A - 1) - 1; i >= 0; i--) { @@ -202,59 +183,57 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons for (j = 0; j < WINDOW_A - 1; ++j) { secp256k1_gej_double_nonzero(r, r, NULL); } -#ifdef USE_ENDOMORPHISM + n = wnaf_1[i]; ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); VERIFY_CHECK(n != 0); secp256k1_gej_add_ge(r, r, &tmpa); - +#ifdef USE_ENDOMORPHISM n = wnaf_lam[i]; ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A); VERIFY_CHECK(n != 0); secp256k1_gej_add_ge(r, r, &tmpa); -#else - n = wnaf[i]; - VERIFY_CHECK(n != 0); - ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A); - secp256k1_gej_add_ge(r, r, &tmpa); #endif } secp256k1_fe_mul(&r->z, &r->z, &Z); -#ifdef USE_ENDOMORPHISM { /* Correct for wNAF skew */ secp256k1_ge correction = *a; secp256k1_ge_storage correction_1_stor; +#ifdef USE_ENDOMORPHISM secp256k1_ge_storage correction_lam_stor; +#endif secp256k1_ge_storage a2_stor; secp256k1_gej tmpj; secp256k1_gej_set_ge(&tmpj, &correction); secp256k1_gej_double_var(&tmpj, &tmpj, NULL); secp256k1_ge_set_gej(&correction, &tmpj); secp256k1_ge_to_storage(&correction_1_stor, a); +#ifdef USE_ENDOMORPHISM secp256k1_ge_to_storage(&correction_lam_stor, a); +#endif secp256k1_ge_to_storage(&a2_stor, &correction); /* For odd numbers this is 2a (so replace it), for even ones a (so no-op) */ secp256k1_ge_storage_cmov(&correction_1_stor, &a2_stor, skew_1 == 2); +#ifdef USE_ENDOMORPHISM secp256k1_ge_storage_cmov(&correction_lam_stor, &a2_stor, skew_lam == 2); +#endif /* Apply the correction */ secp256k1_ge_from_storage(&correction, &correction_1_stor); secp256k1_ge_neg(&correction, &correction); secp256k1_gej_add_ge(r, r, &correction); +#ifdef USE_ENDOMORPHISM secp256k1_ge_from_storage(&correction, &correction_lam_stor); secp256k1_ge_neg(&correction, &correction); secp256k1_ge_mul_lambda(&correction, &correction); secp256k1_gej_add_ge(r, r, &correction); - } -#else - /* correct for zero */ - r->infinity |= is_zero; #endif + } } #endif diff --git a/crypto/secp256k1/libsecp256k1/src/ecmult_gen_impl.h b/crypto/secp256k1/libsecp256k1/src/ecmult_gen_impl.h index 2ee27377f..35f254607 100644 --- a/crypto/secp256k1/libsecp256k1/src/ecmult_gen_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/ecmult_gen_impl.h @@ -40,8 +40,13 @@ static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx static const unsigned char nums_b32[33] = "The scalar for this x is unknown"; secp256k1_fe nums_x; secp256k1_ge nums_ge; - VERIFY_CHECK(secp256k1_fe_set_b32(&nums_x, nums_b32)); - VERIFY_CHECK(secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0)); + int r; + r = secp256k1_fe_set_b32(&nums_x, nums_b32); + (void)r; + VERIFY_CHECK(r); + r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0); + (void)r; + VERIFY_CHECK(r); secp256k1_gej_set_ge(&nums_gej, &nums_ge); /* Add G to make the bits in x uniformly distributed. */ secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g, NULL); @@ -72,7 +77,7 @@ static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL); } } - secp256k1_ge_set_all_gej_var(1024, prec, precj, cb); + secp256k1_ge_set_all_gej_var(prec, precj, 1024, cb); } for (j = 0; j < 64; j++) { for (i = 0; i < 16; i++) { @@ -182,7 +187,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32); retry = !secp256k1_fe_set_b32(&s, nonce32); retry |= secp256k1_fe_is_zero(&s); - } while (retry); + } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > Fp. */ /* Randomize the projection to defend against multiplier sidechannels. */ secp256k1_gej_rescale(&ctx->initial, &s); secp256k1_fe_clear(&s); @@ -191,7 +196,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const secp256k1_scalar_set_b32(&b, nonce32, &retry); /* A blinding value of 0 works, but would undermine the projection hardening. */ retry |= secp256k1_scalar_is_zero(&b); - } while (retry); + } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > order. */ secp256k1_rfc6979_hmac_sha256_finalize(&rng); memset(nonce32, 0, 32); secp256k1_ecmult_gen(ctx, &gb, &b); diff --git a/crypto/secp256k1/libsecp256k1/src/ecmult_impl.h b/crypto/secp256k1/libsecp256k1/src/ecmult_impl.h index e6e5f4718..4e40104ad 100644 --- a/crypto/secp256k1/libsecp256k1/src/ecmult_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/ecmult_impl.h @@ -7,13 +7,29 @@ #ifndef _SECP256K1_ECMULT_IMPL_H_ #define _SECP256K1_ECMULT_IMPL_H_ +#include <string.h> + #include "group.h" #include "scalar.h" #include "ecmult.h" +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need to lower these values for exhaustive tests because + * the tables cannot have infinities in them (this breaks the + * affine-isomorphism stuff which tracks z-ratios) */ +# if EXHAUSTIVE_TEST_ORDER > 128 +# define WINDOW_A 5 +# define WINDOW_G 8 +# elif EXHAUSTIVE_TEST_ORDER > 8 +# define WINDOW_A 4 +# define WINDOW_G 4 +# else +# define WINDOW_A 2 +# define WINDOW_G 2 +# endif +#else /* optimal for 128-bit and 256-bit exponents. */ #define WINDOW_A 5 - /** larger numbers may result in slightly better performance, at the cost of exponentially larger precomputed tables. */ #ifdef USE_ENDOMORPHISM @@ -23,6 +39,7 @@ /** One table for window size 16: 1.375 MiB. */ #define WINDOW_G 16 #endif +#endif /** The number of entries a table with precomputed multiples needs to have. */ #define ECMULT_TABLE_SIZE(w) (1 << ((w)-2)) @@ -101,7 +118,7 @@ static void secp256k1_ecmult_odd_multiples_table_storage_var(int n, secp256k1_ge /* Compute the odd multiples in Jacobian form. */ secp256k1_ecmult_odd_multiples_table(n, prej, zr, a); /* Convert them in batch to affine coordinates. */ - secp256k1_ge_set_table_gej_var(n, prea, prej, zr); + secp256k1_ge_set_table_gej_var(prea, prej, zr, n); /* Convert them to compact storage form. */ for (i = 0; i < n; i++) { secp256k1_ge_to_storage(&pre[i], &prea[i]); diff --git a/crypto/secp256k1/libsecp256k1/src/field.h b/crypto/secp256k1/libsecp256k1/src/field.h index 311329b92..bbb1ee866 100644 --- a/crypto/secp256k1/libsecp256k1/src/field.h +++ b/crypto/secp256k1/libsecp256k1/src/field.h @@ -10,7 +10,7 @@ /** Field element module. * * Field elements can be represented in several ways, but code accessing - * it (and implementations) need to take certain properaties into account: + * it (and implementations) need to take certain properties into account: * - Each field element can be normalized or not. * - Each field element has a magnitude, which represents how far away * its representation is away from normalization. Normalized elements @@ -30,6 +30,8 @@ #error "Please select field implementation" #endif +#include "util.h" + /** Normalize a field element. */ static void secp256k1_fe_normalize(secp256k1_fe *r); @@ -50,6 +52,9 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r); /** Set a field element equal to a small integer. Resulting field element is normalized. */ static void secp256k1_fe_set_int(secp256k1_fe *r, int a); +/** Sets a field element equal to zero, initializing all fields. */ +static void secp256k1_fe_clear(secp256k1_fe *a); + /** Verify whether a field element is zero. Requires the input to be normalized. */ static int secp256k1_fe_is_zero(const secp256k1_fe *a); @@ -57,6 +62,9 @@ static int secp256k1_fe_is_zero(const secp256k1_fe *a); static int secp256k1_fe_is_odd(const secp256k1_fe *a); /** Compare two field elements. Requires magnitude-1 inputs. */ +static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b); + +/** Same as secp256k1_fe_equal, but may be variable time. */ static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b); /** Compare two field elements. Requires both inputs to be normalized */ @@ -87,10 +95,15 @@ static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp2 * The output magnitude is 1 (but not guaranteed to be normalized). */ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a); -/** Sets a field element to be the (modular) square root (if any exist) of another. Requires the - * input's magnitude to be at most 8. The output magnitude is 1 (but not guaranteed to be - * normalized). Return value indicates whether a square root was found. */ -static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a); +/** If a has a square root, it is computed in r and 1 is returned. If a does not + * have a square root, the root of its negation is computed and 0 is returned. + * The input's magnitude can be at most 8. The output magnitude is 1 (but not + * guaranteed to be normalized). The result in r will always be a square + * itself. */ +static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a); + +/** Checks whether a field element is a quadratic residue. */ +static int secp256k1_fe_is_quad_var(const secp256k1_fe *a); /** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be * at most 8. The output magnitude is 1 (but not guaranteed to be normalized). */ @@ -102,7 +115,7 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a); /** Calculate the (modular) inverses of a batch of field elements. Requires the inputs' magnitudes to be * at most 8. The output magnitudes are 1 (but not guaranteed to be normalized). The inputs and * outputs must not overlap in memory. */ -static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k1_fe *a); +static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len); /** Convert a field element to the storage type. */ static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); diff --git a/crypto/secp256k1/libsecp256k1/src/field_10x26_impl.h b/crypto/secp256k1/libsecp256k1/src/field_10x26_impl.h index 212cc5396..5fb092f1b 100644 --- a/crypto/secp256k1/libsecp256k1/src/field_10x26_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/field_10x26_impl.h @@ -7,8 +7,6 @@ #ifndef _SECP256K1_FIELD_REPR_IMPL_H_ #define _SECP256K1_FIELD_REPR_IMPL_H_ -#include <stdio.h> -#include <string.h> #include "util.h" #include "num.h" #include "field.h" @@ -40,10 +38,6 @@ static void secp256k1_fe_verify(const secp256k1_fe *a) { } VERIFY_CHECK(r == 1); } -#else -static void secp256k1_fe_verify(const secp256k1_fe *a) { - (void)a; -} #endif static void secp256k1_fe_normalize(secp256k1_fe *r) { @@ -429,6 +423,14 @@ SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_f #endif } +#if defined(USE_EXTERNAL_ASM) + +/* External assembler implementation */ +void secp256k1_fe_mul_inner(uint32_t *r, const uint32_t *a, const uint32_t * SECP256K1_RESTRICT b); +void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t *a); + +#else + #ifdef VERIFY #define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) #else @@ -1037,7 +1039,7 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t VERIFY_BITS(r[2], 27); /* [r9 r8 r7 r6 r5 r4 r3 r2 r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ } - +#endif static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { #ifdef VERIFY diff --git a/crypto/secp256k1/libsecp256k1/src/field_5x52_impl.h b/crypto/secp256k1/libsecp256k1/src/field_5x52_impl.h index b31e24ab8..dd88f38c7 100644 --- a/crypto/secp256k1/libsecp256k1/src/field_5x52_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/field_5x52_impl.h @@ -11,7 +11,6 @@ #include "libsecp256k1-config.h" #endif -#include <string.h> #include "util.h" #include "num.h" #include "field.h" @@ -50,10 +49,6 @@ static void secp256k1_fe_verify(const secp256k1_fe *a) { } VERIFY_CHECK(r == 1); } -#else -static void secp256k1_fe_verify(const secp256k1_fe *a) { - (void)a; -} #endif static void secp256k1_fe_normalize(secp256k1_fe *r) { diff --git a/crypto/secp256k1/libsecp256k1/src/field_5x52_int128_impl.h b/crypto/secp256k1/libsecp256k1/src/field_5x52_int128_impl.h index 9280bb5ea..0bf22bdd3 100644 --- a/crypto/secp256k1/libsecp256k1/src/field_5x52_int128_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/field_5x52_int128_impl.h @@ -137,7 +137,7 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t VERIFY_BITS(r[2], 52); VERIFY_BITS(c, 63); /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += d * R + t3;; + c += d * R + t3; VERIFY_BITS(c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ r[3] = c & M; c >>= 52; @@ -259,7 +259,7 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t VERIFY_BITS(c, 63); /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ - c += d * R + t3;; + c += d * R + t3; VERIFY_BITS(c, 100); /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ r[3] = c & M; c >>= 52; diff --git a/crypto/secp256k1/libsecp256k1/src/field_impl.h b/crypto/secp256k1/libsecp256k1/src/field_impl.h index 551a6243e..5127b279b 100644 --- a/crypto/secp256k1/libsecp256k1/src/field_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/field_impl.h @@ -21,6 +21,13 @@ #error "Please select field implementation" #endif +SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { + secp256k1_fe na; + secp256k1_fe_negate(&na, a, 1); + secp256k1_fe_add(&na, b); + return secp256k1_fe_normalizes_to_zero(&na); +} + SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b) { secp256k1_fe na; secp256k1_fe_negate(&na, a, 1); @@ -28,7 +35,16 @@ SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const return secp256k1_fe_normalizes_to_zero_var(&na); } -static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a) { +static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) { + /** Given that p is congruent to 3 mod 4, we can compute the square root of + * a mod p as the (p+1)/4'th power of a. + * + * As (p+1)/4 is an even number, it will have the same result for a and for + * (-a). Only one of these two numbers actually has a square root however, + * so we test at the end by squaring and comparing to the input. + * Also because (p+1)/4 is an even number, the computed square root is + * itself always a square (a ** ((p+1)/4) is the square of a ** ((p+1)/8)). + */ secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; int j; @@ -114,7 +130,7 @@ static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a) { /* Check that a square root was actually calculated */ secp256k1_fe_sqr(&t1, r); - return secp256k1_fe_equal_var(&t1, a); + return secp256k1_fe_equal(&t1, a); } static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a) { @@ -224,6 +240,7 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) { 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F }; unsigned char b[32]; + int res; secp256k1_fe c = *a; secp256k1_fe_normalize_var(&c); secp256k1_fe_get_b32(b, &c); @@ -231,7 +248,9 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) { secp256k1_num_set_bin(&m, prime, 32); secp256k1_num_mod_inverse(&n, &n, &m); secp256k1_num_get_bin(b, 32, &n); - VERIFY_CHECK(secp256k1_fe_set_b32(r, b)); + res = secp256k1_fe_set_b32(r, b); + (void)res; + VERIFY_CHECK(res); /* Verify the result is the (unique) valid inverse using non-GMP code. */ secp256k1_fe_mul(&c, &c, r); secp256k1_fe_add(&c, &negone); @@ -241,7 +260,7 @@ static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) { #endif } -static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k1_fe *a) { +static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len) { secp256k1_fe u; size_t i; if (len < 1) { @@ -268,4 +287,29 @@ static void secp256k1_fe_inv_all_var(size_t len, secp256k1_fe *r, const secp256k r[0] = u; } +static int secp256k1_fe_is_quad_var(const secp256k1_fe *a) { +#ifndef USE_NUM_NONE + unsigned char b[32]; + secp256k1_num n; + secp256k1_num m; + /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ + static const unsigned char prime[32] = { + 0xFF,0xFF,0xFF,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 c = *a; + secp256k1_fe_normalize_var(&c); + secp256k1_fe_get_b32(b, &c); + secp256k1_num_set_bin(&n, b, 32); + secp256k1_num_set_bin(&m, prime, 32); + return secp256k1_num_jacobi(&n, &m) >= 0; +#else + secp256k1_fe r; + return secp256k1_fe_sqrt(&r, a); +#endif +} + #endif diff --git a/crypto/secp256k1/libsecp256k1/src/group.h b/crypto/secp256k1/libsecp256k1/src/group.h index 89b079d5c..4957b248f 100644 --- a/crypto/secp256k1/libsecp256k1/src/group.h +++ b/crypto/secp256k1/libsecp256k1/src/group.h @@ -40,12 +40,15 @@ typedef struct { #define SECP256K1_GE_STORAGE_CONST_GET(t) SECP256K1_FE_STORAGE_CONST_GET(t.x), SECP256K1_FE_STORAGE_CONST_GET(t.y) -/** Set a group element equal to the point at infinity */ -static void secp256k1_ge_set_infinity(secp256k1_ge *r); - /** Set a group element equal to the point with given X and Y coordinates */ static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y); +/** Set a group element (affine) equal to the point with the given X coordinate + * and a Y coordinate that is a quadratic residue modulo p. The return value + * is true iff a coordinate with the given X coordinate exists. + */ +static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x); + /** Set a group element (affine) equal to the point with the given X coordinate, and given oddness * 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); @@ -62,12 +65,12 @@ static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a); static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a); /** Set a batch of group elements equal to the inputs given in jacobian coordinates */ -static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_callback *cb); +static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len, const secp256k1_callback *cb); /** Set a batch of group elements equal to the inputs given in jacobian * coordinates (with known z-ratios). zr must contain the known z-ratios such * that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. */ -static void secp256k1_ge_set_table_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr); +static void secp256k1_ge_set_table_gej_var(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr, size_t len); /** Bring a batch inputs given in jacobian coordinates (with known z-ratios) to * the same global z "denominator". zr must contain the known z-ratios such @@ -79,9 +82,6 @@ static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp /** Set a group element (jacobian) equal to the point at infinity. */ static void secp256k1_gej_set_infinity(secp256k1_gej *r); -/** Set a group element (jacobian) equal to the point with given X and Y coordinates. */ -static void secp256k1_gej_set_xy(secp256k1_gej *r, const secp256k1_fe *x, const secp256k1_fe *y); - /** 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); @@ -94,6 +94,9 @@ static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a); /** Check whether a group element is the point at infinity. */ static int secp256k1_gej_is_infinity(const secp256k1_gej *a); +/** Check whether a group element's y coordinate is a quadratic residue. */ +static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a); + /** Set r equal to the double of a. If rzr is not-NULL, r->z = a->z * *rzr (where infinity means an implicit z = 0). * a may not be zero. Constant time. */ static void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr); diff --git a/crypto/secp256k1/libsecp256k1/src/group_impl.h b/crypto/secp256k1/libsecp256k1/src/group_impl.h index fe0a35929..7d723532f 100644 --- a/crypto/secp256k1/libsecp256k1/src/group_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/group_impl.h @@ -7,12 +7,57 @@ #ifndef _SECP256K1_GROUP_IMPL_H_ #define _SECP256K1_GROUP_IMPL_H_ -#include <string.h> - #include "num.h" #include "field.h" #include "group.h" +/* These points can be generated in sage as follows: + * + * 0. Setup a worksheet with the following parameters. + * b = 4 # whatever CURVE_B will be set to + * F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F) + * C = EllipticCurve ([F (0), F (b)]) + * + * 1. Determine all the small orders available to you. (If there are + * no satisfactory ones, go back and change b.) + * print C.order().factor(limit=1000) + * + * 2. Choose an order as one of the prime factors listed in the above step. + * (You can also multiply some to get a composite order, though the + * tests will crash trying to invert scalars during signing.) We take a + * random point and scale it to drop its order to the desired value. + * There is some probability this won't work; just try again. + * order = 199 + * P = C.random_point() + * P = (int(P.order()) / int(order)) * P + * assert(P.order() == order) + * + * 3. Print the values. You'll need to use a vim macro or something to + * split the hex output into 4-byte chunks. + * print "%x %x" % P.xy() + */ +#if defined(EXHAUSTIVE_TEST_ORDER) +# if EXHAUSTIVE_TEST_ORDER == 199 +const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( + 0xFA7CC9A7, 0x0737F2DB, 0xA749DD39, 0x2B4FB069, + 0x3B017A7D, 0xA808C2F1, 0xFB12940C, 0x9EA66C18, + 0x78AC123A, 0x5ED8AEF3, 0x8732BC91, 0x1F3A2868, + 0x48DF246C, 0x808DAE72, 0xCFE52572, 0x7F0501ED +); + +const int CURVE_B = 4; +# elif EXHAUSTIVE_TEST_ORDER == 13 +const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( + 0xedc60018, 0xa51a786b, 0x2ea91f4d, 0x4c9416c0, + 0x9de54c3b, 0xa1316554, 0x6cf4345c, 0x7277ef15, + 0x54cb1b6b, 0xdc8c1273, 0x087844ea, 0x43f4603e, + 0x0eaf9a43, 0xf6effe55, 0x939f806d, 0x37adf8ac +); +const int CURVE_B = 2; +# else +# error No known generator for the specified exhaustive test group order. +# endif +#else /** Generator for secp256k1, value 'g' defined in * "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ @@ -23,8 +68,11 @@ static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL ); +const int CURVE_B = 7; +#endif + static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) { - secp256k1_fe zi2; + secp256k1_fe zi2; secp256k1_fe zi3; secp256k1_fe_sqr(&zi2, zi); secp256k1_fe_mul(&zi3, &zi2, zi); @@ -33,10 +81,6 @@ static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, c r->infinity = a->infinity; } -static void secp256k1_ge_set_infinity(secp256k1_ge *r) { - r->infinity = 1; -} - static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y) { r->infinity = 0; r->x = *x; @@ -82,7 +126,7 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { r->y = a->y; } -static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_callback *cb) { +static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len, const secp256k1_callback *cb) { secp256k1_fe *az; secp256k1_fe *azi; size_t i; @@ -95,7 +139,7 @@ static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp } azi = (secp256k1_fe *)checked_malloc(cb, sizeof(secp256k1_fe) * count); - secp256k1_fe_inv_all_var(count, azi, az); + secp256k1_fe_inv_all_var(azi, az, count); free(az); count = 0; @@ -108,7 +152,7 @@ static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge *r, const secp free(azi); } -static void secp256k1_ge_set_table_gej_var(size_t len, secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr) { +static void secp256k1_ge_set_table_gej_var(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr, size_t len) { size_t i = len - 1; secp256k1_fe zi; @@ -151,16 +195,9 @@ static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp static void secp256k1_gej_set_infinity(secp256k1_gej *r) { r->infinity = 1; - secp256k1_fe_set_int(&r->x, 0); - secp256k1_fe_set_int(&r->y, 0); - secp256k1_fe_set_int(&r->z, 0); -} - -static void secp256k1_gej_set_xy(secp256k1_gej *r, const secp256k1_fe *x, const secp256k1_fe *y) { - r->infinity = 0; - r->x = *x; - r->y = *y; - secp256k1_fe_set_int(&r->z, 1); + secp256k1_fe_clear(&r->x); + secp256k1_fe_clear(&r->y); + secp256k1_fe_clear(&r->z); } static void secp256k1_gej_clear(secp256k1_gej *r) { @@ -176,15 +213,19 @@ static void secp256k1_ge_clear(secp256k1_ge *r) { secp256k1_fe_clear(&r->y); } -static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { +static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x) { secp256k1_fe x2, x3, c; r->x = *x; secp256k1_fe_sqr(&x2, x); secp256k1_fe_mul(&x3, x, &x2); r->infinity = 0; - secp256k1_fe_set_int(&c, 7); + secp256k1_fe_set_int(&c, CURVE_B); secp256k1_fe_add(&c, &x3); - if (!secp256k1_fe_sqrt_var(&r->y, &c)) { + return secp256k1_fe_sqrt(&r->y, &c); +} + +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { + if (!secp256k1_ge_set_xquad(r, x)) { return 0; } secp256k1_fe_normalize_var(&r->y); @@ -192,6 +233,7 @@ static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int o secp256k1_fe_negate(&r->y, &r->y, 1); } return 1; + } static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { @@ -236,7 +278,7 @@ static int secp256k1_gej_is_valid_var(const secp256k1_gej *a) { secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); secp256k1_fe_sqr(&z2, &a->z); secp256k1_fe_sqr(&z6, &z2); secp256k1_fe_mul(&z6, &z6, &z2); - secp256k1_fe_mul_int(&z6, 7); + secp256k1_fe_mul_int(&z6, CURVE_B); secp256k1_fe_add(&x3, &z6); secp256k1_fe_normalize_weak(&x3); return secp256k1_fe_equal_var(&y2, &x3); @@ -250,18 +292,30 @@ static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { /* y^2 = x^3 + 7 */ secp256k1_fe_sqr(&y2, &a->y); secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); - secp256k1_fe_set_int(&c, 7); + secp256k1_fe_set_int(&c, CURVE_B); secp256k1_fe_add(&x3, &c); secp256k1_fe_normalize_weak(&x3); return secp256k1_fe_equal_var(&y2, &x3); } static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { - /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate */ + /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate. + * + * Note that there is an implementation described at + * https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l + * which trades a multiply for a square, but in practice this is actually slower, + * mainly because it requires more normalizations. + */ secp256k1_fe t1,t2,t3,t4; /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p. + * + * Having said this, if this function receives a point on a sextic twist, e.g. by + * a fault attack, it is possible for y to be 0. This happens for y^2 = x^3 + 6, + * since -6 does have a cube root mod p. For this point, this function will not set + * the infinity flag even though the point doubles to infinity, and the result + * point will be gibberish (z = 0 but infinity = 0). */ r->infinity = a->infinity; if (r->infinity) { @@ -629,4 +683,18 @@ static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) { } #endif +static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a) { + secp256k1_fe yz; + + if (a->infinity) { + return 0; + } + + /* We rely on the fact that the Jacobi symbol of 1 / a->z^3 is the same as + * that of a->z. Thus a->y / a->z^3 is a quadratic residue iff a->y * a->z + is */ + secp256k1_fe_mul(&yz, &a->y, &a->z); + return secp256k1_fe_is_quad_var(&yz); +} + #endif diff --git a/crypto/secp256k1/libsecp256k1/src/hash.h b/crypto/secp256k1/libsecp256k1/src/hash.h index 0ff01e63f..fca98cab9 100644 --- a/crypto/secp256k1/libsecp256k1/src/hash.h +++ b/crypto/secp256k1/libsecp256k1/src/hash.h @@ -11,7 +11,7 @@ #include <stdint.h> typedef struct { - uint32_t s[32]; + uint32_t s[8]; uint32_t buf[16]; /* In big endian */ size_t bytes; } secp256k1_sha256_t; diff --git a/crypto/secp256k1/libsecp256k1/src/hash_impl.h b/crypto/secp256k1/libsecp256k1/src/hash_impl.h index ae55df6d8..b47e65f83 100644 --- a/crypto/secp256k1/libsecp256k1/src/hash_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/hash_impl.h @@ -269,15 +269,13 @@ static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 rng->retry = 0; } - +#undef BE32 #undef Round -#undef sigma0 #undef sigma1 -#undef Sigma0 +#undef sigma0 #undef Sigma1 -#undef Ch +#undef Sigma0 #undef Maj -#undef ReadBE32 -#undef WriteBE32 +#undef Ch #endif diff --git a/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java index 90a498eaa..1c67802fb 100644 --- a/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java +++ b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java @@ -1,60 +1,446 @@ +/* + * Copyright 2013 Google Inc. + * Copyright 2014-2016 the libsecp256k1 contributors + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + package org.bitcoin; import java.nio.ByteBuffer; import java.nio.ByteOrder; +import java.math.BigInteger; import com.google.common.base.Preconditions; - +import java.util.concurrent.locks.Lock; +import java.util.concurrent.locks.ReentrantReadWriteLock; +import static org.bitcoin.NativeSecp256k1Util.*; /** - * This class holds native methods to handle ECDSA verification. - * You can find an example library that can be used for this at - * https://github.com/sipa/secp256k1 + * <p>This class holds native methods to handle ECDSA verification.</p> + * + * <p>You can find an example library that can be used for this at https://github.com/bitcoin/secp256k1</p> + * + * <p>To build secp256k1 for use with bitcoinj, run + * `./configure --enable-jni --enable-experimental --enable-module-ecdh` + * and `make` then copy `.libs/libsecp256k1.so` to your system library path + * or point the JVM to the folder containing it with -Djava.library.path + * </p> */ public class NativeSecp256k1 { - public static final boolean enabled; - static { - boolean isEnabled = true; - try { - System.loadLibrary("javasecp256k1"); - } catch (UnsatisfiedLinkError e) { - isEnabled = false; - } - enabled = isEnabled; - } - + + private static final ReentrantReadWriteLock rwl = new ReentrantReadWriteLock(); + private static final Lock r = rwl.readLock(); + private static final Lock w = rwl.writeLock(); private static ThreadLocal<ByteBuffer> nativeECDSABuffer = new ThreadLocal<ByteBuffer>(); /** * Verifies the given secp256k1 signature in native code. * Calling when enabled == false is undefined (probably library not loaded) - * + * * @param data The data which was signed, must be exactly 32 bytes * @param signature The signature * @param pub The public key which did the signing */ - public static boolean verify(byte[] data, byte[] signature, byte[] pub) { + public static boolean verify(byte[] data, byte[] signature, byte[] pub) throws AssertFailException{ Preconditions.checkArgument(data.length == 32 && signature.length <= 520 && pub.length <= 520); ByteBuffer byteBuff = nativeECDSABuffer.get(); - if (byteBuff == null) { - byteBuff = ByteBuffer.allocateDirect(32 + 8 + 520 + 520); + if (byteBuff == null || byteBuff.capacity() < 520) { + byteBuff = ByteBuffer.allocateDirect(520); byteBuff.order(ByteOrder.nativeOrder()); nativeECDSABuffer.set(byteBuff); } byteBuff.rewind(); byteBuff.put(data); - byteBuff.putInt(signature.length); - byteBuff.putInt(pub.length); byteBuff.put(signature); byteBuff.put(pub); - return secp256k1_ecdsa_verify(byteBuff) == 1; + + byte[][] retByteArray; + + r.lock(); + try { + return secp256k1_ecdsa_verify(byteBuff, Secp256k1Context.getContext(), signature.length, pub.length) == 1; + } finally { + r.unlock(); + } + } + + /** + * libsecp256k1 Create an ECDSA signature. + * + * @param data Message hash, 32 bytes + * @param key Secret key, 32 bytes + * + * Return values + * @param sig byte array of signature + */ + public static byte[] sign(byte[] data, byte[] sec) throws AssertFailException{ + Preconditions.checkArgument(data.length == 32 && sec.length <= 32); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < 32 + 32) { + byteBuff = ByteBuffer.allocateDirect(32 + 32); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(data); + byteBuff.put(sec); + + byte[][] retByteArray; + + r.lock(); + try { + retByteArray = secp256k1_ecdsa_sign(byteBuff, Secp256k1Context.getContext()); + } finally { + r.unlock(); + } + + byte[] sigArr = retByteArray[0]; + int sigLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(sigArr.length, sigLen, "Got bad signature length."); + + return retVal == 0 ? new byte[0] : sigArr; + } + + /** + * libsecp256k1 Seckey Verify - returns 1 if valid, 0 if invalid + * + * @param seckey ECDSA Secret key, 32 bytes + */ + public static boolean secKeyVerify(byte[] seckey) { + Preconditions.checkArgument(seckey.length == 32); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < seckey.length) { + byteBuff = ByteBuffer.allocateDirect(seckey.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(seckey); + + r.lock(); + try { + return secp256k1_ec_seckey_verify(byteBuff,Secp256k1Context.getContext()) == 1; + } finally { + r.unlock(); + } + } + + + /** + * libsecp256k1 Compute Pubkey - computes public key from secret key + * + * @param seckey ECDSA Secret key, 32 bytes + * + * Return values + * @param pubkey ECDSA Public key, 33 or 65 bytes + */ + //TODO add a 'compressed' arg + public static byte[] computePubkey(byte[] seckey) throws AssertFailException{ + Preconditions.checkArgument(seckey.length == 32); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < seckey.length) { + byteBuff = ByteBuffer.allocateDirect(seckey.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(seckey); + + byte[][] retByteArray; + + r.lock(); + try { + retByteArray = secp256k1_ec_pubkey_create(byteBuff, Secp256k1Context.getContext()); + } finally { + r.unlock(); + } + + byte[] pubArr = retByteArray[0]; + int pubLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); + + return retVal == 0 ? new byte[0]: pubArr; + } + + /** + * libsecp256k1 Cleanup - This destroys the secp256k1 context object + * This should be called at the end of the program for proper cleanup of the context. + */ + public static synchronized void cleanup() { + w.lock(); + try { + secp256k1_destroy_context(Secp256k1Context.getContext()); + } finally { + w.unlock(); + } + } + + public static long cloneContext() { + r.lock(); + try { + return secp256k1_ctx_clone(Secp256k1Context.getContext()); + } finally { r.unlock(); } + } + + /** + * libsecp256k1 PrivKey Tweak-Mul - Tweak privkey by multiplying to it + * + * @param tweak some bytes to tweak with + * @param seckey 32-byte seckey + */ + public static byte[] privKeyTweakMul(byte[] privkey, byte[] tweak) throws AssertFailException{ + Preconditions.checkArgument(privkey.length == 32); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) { + byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(privkey); + byteBuff.put(tweak); + + byte[][] retByteArray; + r.lock(); + try { + retByteArray = secp256k1_privkey_tweak_mul(byteBuff,Secp256k1Context.getContext()); + } finally { + r.unlock(); + } + + byte[] privArr = retByteArray[0]; + + int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(privArr.length, privLen, "Got bad pubkey length."); + + assertEquals(retVal, 1, "Failed return value check."); + + return privArr; + } + + /** + * libsecp256k1 PrivKey Tweak-Add - Tweak privkey by adding to it + * + * @param tweak some bytes to tweak with + * @param seckey 32-byte seckey + */ + public static byte[] privKeyTweakAdd(byte[] privkey, byte[] tweak) throws AssertFailException{ + Preconditions.checkArgument(privkey.length == 32); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) { + byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(privkey); + byteBuff.put(tweak); + + byte[][] retByteArray; + r.lock(); + try { + retByteArray = secp256k1_privkey_tweak_add(byteBuff,Secp256k1Context.getContext()); + } finally { + r.unlock(); + } + + byte[] privArr = retByteArray[0]; + + int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(privArr.length, privLen, "Got bad pubkey length."); + + assertEquals(retVal, 1, "Failed return value check."); + + return privArr; + } + + /** + * libsecp256k1 PubKey Tweak-Add - Tweak pubkey by adding to it + * + * @param tweak some bytes to tweak with + * @param pubkey 32-byte seckey + */ + public static byte[] pubKeyTweakAdd(byte[] pubkey, byte[] tweak) throws AssertFailException{ + Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) { + byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(pubkey); + byteBuff.put(tweak); + + byte[][] retByteArray; + r.lock(); + try { + retByteArray = secp256k1_pubkey_tweak_add(byteBuff,Secp256k1Context.getContext(), pubkey.length); + } finally { + r.unlock(); + } + + byte[] pubArr = retByteArray[0]; + + int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); + + assertEquals(retVal, 1, "Failed return value check."); + + return pubArr; + } + + /** + * libsecp256k1 PubKey Tweak-Mul - Tweak pubkey by multiplying to it + * + * @param tweak some bytes to tweak with + * @param pubkey 32-byte seckey + */ + public static byte[] pubKeyTweakMul(byte[] pubkey, byte[] tweak) throws AssertFailException{ + Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) { + byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(pubkey); + byteBuff.put(tweak); + + byte[][] retByteArray; + r.lock(); + try { + retByteArray = secp256k1_pubkey_tweak_mul(byteBuff,Secp256k1Context.getContext(), pubkey.length); + } finally { + r.unlock(); + } + + byte[] pubArr = retByteArray[0]; + + int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF; + int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue(); + + assertEquals(pubArr.length, pubLen, "Got bad pubkey length."); + + assertEquals(retVal, 1, "Failed return value check."); + + return pubArr; } /** - * @param byteBuff signature format is byte[32] data, - * native-endian int signatureLength, native-endian int pubkeyLength, - * byte[signatureLength] signature, byte[pubkeyLength] pub - * @returns 1 for valid signature, anything else for invalid + * libsecp256k1 create ECDH secret - constant time ECDH calculation + * + * @param seckey byte array of secret key used in exponentiaion + * @param pubkey byte array of public key used in exponentiaion */ - private static native int secp256k1_ecdsa_verify(ByteBuffer byteBuff); + public static byte[] createECDHSecret(byte[] seckey, byte[] pubkey) throws AssertFailException{ + Preconditions.checkArgument(seckey.length <= 32 && pubkey.length <= 65); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < 32 + pubkey.length) { + byteBuff = ByteBuffer.allocateDirect(32 + pubkey.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(seckey); + byteBuff.put(pubkey); + + byte[][] retByteArray; + r.lock(); + try { + retByteArray = secp256k1_ecdh(byteBuff, Secp256k1Context.getContext(), pubkey.length); + } finally { + r.unlock(); + } + + byte[] resArr = retByteArray[0]; + int retVal = new BigInteger(new byte[] { retByteArray[1][0] }).intValue(); + + assertEquals(resArr.length, 32, "Got bad result length."); + assertEquals(retVal, 1, "Failed return value check."); + + return resArr; + } + + /** + * libsecp256k1 randomize - updates the context randomization + * + * @param seed 32-byte random seed + */ + public static synchronized boolean randomize(byte[] seed) throws AssertFailException{ + Preconditions.checkArgument(seed.length == 32 || seed == null); + + ByteBuffer byteBuff = nativeECDSABuffer.get(); + if (byteBuff == null || byteBuff.capacity() < seed.length) { + byteBuff = ByteBuffer.allocateDirect(seed.length); + byteBuff.order(ByteOrder.nativeOrder()); + nativeECDSABuffer.set(byteBuff); + } + byteBuff.rewind(); + byteBuff.put(seed); + + w.lock(); + try { + return secp256k1_context_randomize(byteBuff, Secp256k1Context.getContext()) == 1; + } finally { + w.unlock(); + } + } + + private static native long secp256k1_ctx_clone(long context); + + private static native int secp256k1_context_randomize(ByteBuffer byteBuff, long context); + + private static native byte[][] secp256k1_privkey_tweak_add(ByteBuffer byteBuff, long context); + + private static native byte[][] secp256k1_privkey_tweak_mul(ByteBuffer byteBuff, long context); + + private static native byte[][] secp256k1_pubkey_tweak_add(ByteBuffer byteBuff, long context, int pubLen); + + private static native byte[][] secp256k1_pubkey_tweak_mul(ByteBuffer byteBuff, long context, int pubLen); + + private static native void secp256k1_destroy_context(long context); + + private static native int secp256k1_ecdsa_verify(ByteBuffer byteBuff, long context, int sigLen, int pubLen); + + private static native byte[][] secp256k1_ecdsa_sign(ByteBuffer byteBuff, long context); + + private static native int secp256k1_ec_seckey_verify(ByteBuffer byteBuff, long context); + + private static native byte[][] secp256k1_ec_pubkey_create(ByteBuffer byteBuff, long context); + + private static native byte[][] secp256k1_ec_pubkey_parse(ByteBuffer byteBuff, long context, int inputLen); + + private static native byte[][] secp256k1_ecdh(ByteBuffer byteBuff, long context, int inputLen); + } diff --git a/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java new file mode 100644 index 000000000..c00d08899 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java @@ -0,0 +1,226 @@ +package org.bitcoin; + +import com.google.common.io.BaseEncoding; +import java.util.Arrays; +import java.math.BigInteger; +import javax.xml.bind.DatatypeConverter; +import static org.bitcoin.NativeSecp256k1Util.*; + +/** + * This class holds test cases defined for testing this library. + */ +public class NativeSecp256k1Test { + + //TODO improve comments/add more tests + /** + * This tests verify() for a valid signature + */ + public static void testVerifyPos() throws AssertFailException{ + boolean result = false; + byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing" + byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase()); + byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase()); + + result = NativeSecp256k1.verify( data, sig, pub); + assertEquals( result, true , "testVerifyPos"); + } + + /** + * This tests verify() for a non-valid signature + */ + public static void testVerifyNeg() throws AssertFailException{ + boolean result = false; + byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A91".toLowerCase()); //sha256hash of "testing" + byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase()); + byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase()); + + result = NativeSecp256k1.verify( data, sig, pub); + //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16)); + assertEquals( result, false , "testVerifyNeg"); + } + + /** + * This tests secret key verify() for a valid secretkey + */ + public static void testSecKeyVerifyPos() throws AssertFailException{ + boolean result = false; + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + + result = NativeSecp256k1.secKeyVerify( sec ); + //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16)); + assertEquals( result, true , "testSecKeyVerifyPos"); + } + + /** + * This tests secret key verify() for a invalid secretkey + */ + public static void testSecKeyVerifyNeg() throws AssertFailException{ + boolean result = false; + byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase()); + + result = NativeSecp256k1.secKeyVerify( sec ); + //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16)); + assertEquals( result, false , "testSecKeyVerifyNeg"); + } + + /** + * This tests public key create() for a valid secretkey + */ + public static void testPubKeyCreatePos() throws AssertFailException{ + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + + byte[] resultArr = NativeSecp256k1.computePubkey( sec); + String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( pubkeyString , "04C591A8FF19AC9C4E4E5793673B83123437E975285E7B442F4EE2654DFFCA5E2D2103ED494718C697AC9AEBCFD19612E224DB46661011863ED2FC54E71861E2A6" , "testPubKeyCreatePos"); + } + + /** + * This tests public key create() for a invalid secretkey + */ + public static void testPubKeyCreateNeg() throws AssertFailException{ + byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase()); + + byte[] resultArr = NativeSecp256k1.computePubkey( sec); + String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( pubkeyString, "" , "testPubKeyCreateNeg"); + } + + /** + * This tests sign() for a valid secretkey + */ + public static void testSignPos() throws AssertFailException{ + + byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing" + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + + byte[] resultArr = NativeSecp256k1.sign(data, sec); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString, "30440220182A108E1448DC8F1FB467D06A0F3BB8EA0533584CB954EF8DA112F1D60E39A202201C66F36DA211C087F3AF88B50EDF4F9BDAA6CF5FD6817E74DCA34DB12390C6E9" , "testSignPos"); + } + + /** + * This tests sign() for a invalid secretkey + */ + public static void testSignNeg() throws AssertFailException{ + byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing" + byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase()); + + byte[] resultArr = NativeSecp256k1.sign(data, sec); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString, "" , "testSignNeg"); + } + + /** + * This tests private key tweak-add + */ + public static void testPrivKeyTweakAdd_1() throws AssertFailException { + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak" + + byte[] resultArr = NativeSecp256k1.privKeyTweakAdd( sec , data ); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString , "A168571E189E6F9A7E2D657A4B53AE99B909F7E712D1C23CED28093CD57C88F3" , "testPrivKeyAdd_1"); + } + + /** + * This tests private key tweak-mul + */ + public static void testPrivKeyTweakMul_1() throws AssertFailException { + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak" + + byte[] resultArr = NativeSecp256k1.privKeyTweakMul( sec , data ); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString , "97F8184235F101550F3C71C927507651BD3F1CDB4A5A33B8986ACF0DEE20FFFC" , "testPrivKeyMul_1"); + } + + /** + * This tests private key tweak-add uncompressed + */ + public static void testPrivKeyTweakAdd_2() throws AssertFailException { + byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase()); + byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak" + + byte[] resultArr = NativeSecp256k1.pubKeyTweakAdd( pub , data ); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString , "0411C6790F4B663CCE607BAAE08C43557EDC1A4D11D88DFCB3D841D0C6A941AF525A268E2A863C148555C48FB5FBA368E88718A46E205FABC3DBA2CCFFAB0796EF" , "testPrivKeyAdd_2"); + } + + /** + * This tests private key tweak-mul uncompressed + */ + public static void testPrivKeyTweakMul_2() throws AssertFailException { + byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase()); + byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak" + + byte[] resultArr = NativeSecp256k1.pubKeyTweakMul( pub , data ); + String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( sigString , "04E0FE6FE55EBCA626B98A807F6CAF654139E14E5E3698F01A9A658E21DC1D2791EC060D4F412A794D5370F672BC94B722640B5F76914151CFCA6E712CA48CC589" , "testPrivKeyMul_2"); + } + + /** + * This tests seed randomization + */ + public static void testRandomize() throws AssertFailException { + byte[] seed = BaseEncoding.base16().lowerCase().decode("A441B15FE9A3CF56661190A0B93B9DEC7D04127288CC87250967CF3B52894D11".toLowerCase()); //sha256hash of "random" + boolean result = NativeSecp256k1.randomize(seed); + assertEquals( result, true, "testRandomize"); + } + + public static void testCreateECDHSecret() throws AssertFailException{ + + byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase()); + byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase()); + + byte[] resultArr = NativeSecp256k1.createECDHSecret(sec, pub); + String ecdhString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr); + assertEquals( ecdhString, "2A2A67007A926E6594AF3EB564FC74005B37A9C8AEF2033C4552051B5C87F043" , "testCreateECDHSecret"); + } + + public static void main(String[] args) throws AssertFailException{ + + + System.out.println("\n libsecp256k1 enabled: " + Secp256k1Context.isEnabled() + "\n"); + + assertEquals( Secp256k1Context.isEnabled(), true, "isEnabled" ); + + //Test verify() success/fail + testVerifyPos(); + testVerifyNeg(); + + //Test secKeyVerify() success/fail + testSecKeyVerifyPos(); + testSecKeyVerifyNeg(); + + //Test computePubkey() success/fail + testPubKeyCreatePos(); + testPubKeyCreateNeg(); + + //Test sign() success/fail + testSignPos(); + testSignNeg(); + + //Test privKeyTweakAdd() 1 + testPrivKeyTweakAdd_1(); + + //Test privKeyTweakMul() 2 + testPrivKeyTweakMul_1(); + + //Test privKeyTweakAdd() 3 + testPrivKeyTweakAdd_2(); + + //Test privKeyTweakMul() 4 + testPrivKeyTweakMul_2(); + + //Test randomize() + testRandomize(); + + //Test ECDH + testCreateECDHSecret(); + + NativeSecp256k1.cleanup(); + + System.out.println(" All tests passed." ); + + } +} diff --git a/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java new file mode 100644 index 000000000..04732ba04 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java @@ -0,0 +1,45 @@ +/* + * Copyright 2014-2016 the libsecp256k1 contributors + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +package org.bitcoin; + +public class NativeSecp256k1Util{ + + public static void assertEquals( int val, int val2, String message ) throws AssertFailException{ + if( val != val2 ) + throw new AssertFailException("FAIL: " + message); + } + + public static void assertEquals( boolean val, boolean val2, String message ) throws AssertFailException{ + if( val != val2 ) + throw new AssertFailException("FAIL: " + message); + else + System.out.println("PASS: " + message); + } + + public static void assertEquals( String val, String val2, String message ) throws AssertFailException{ + if( !val.equals(val2) ) + throw new AssertFailException("FAIL: " + message); + else + System.out.println("PASS: " + message); + } + + public static class AssertFailException extends Exception { + public AssertFailException(String message) { + super( message ); + } + } +} diff --git a/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java new file mode 100644 index 000000000..216c986a8 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java @@ -0,0 +1,51 @@ +/* + * Copyright 2014-2016 the libsecp256k1 contributors + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +package org.bitcoin; + +/** + * This class holds the context reference used in native methods + * to handle ECDSA operations. + */ +public class Secp256k1Context { + private static final boolean enabled; //true if the library is loaded + private static final long context; //ref to pointer to context obj + + static { //static initializer + boolean isEnabled = true; + long contextRef = -1; + try { + System.loadLibrary("secp256k1"); + contextRef = secp256k1_init_context(); + } catch (UnsatisfiedLinkError e) { + System.out.println("UnsatisfiedLinkError: " + e.toString()); + isEnabled = false; + } + enabled = isEnabled; + context = contextRef; + } + + public static boolean isEnabled() { + return enabled; + } + + public static long getContext() { + if(!enabled) return -1; //sanity check + return context; + } + + private static native long secp256k1_init_context(); +} diff --git a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c index bb4cd7072..bcef7b32c 100644 --- a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c +++ b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c @@ -1,23 +1,377 @@ +#include <stdlib.h> +#include <stdint.h> +#include <string.h> #include "org_bitcoin_NativeSecp256k1.h" #include "include/secp256k1.h" +#include "include/secp256k1_ecdh.h" +#include "include/secp256k1_recovery.h" -JNIEXPORT jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify - (JNIEnv* env, jclass classObject, jobject byteBufferObject) + +SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone + (JNIEnv* env, jclass classObject, jlong ctx_l) +{ + const secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + + jlong ctx_clone_l = (uintptr_t) secp256k1_context_clone(ctx); + + (void)classObject;(void)env; + + return ctx_clone_l; + +} + +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) { - unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); - int sigLen = *((int*)(data + 32)); - int pubLen = *((int*)(data + 32 + 4)); + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + + const unsigned char* seed = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + + (void)classObject; + + return secp256k1_context_randomize(ctx, seed); - return secp256k1_ecdsa_verify(data, 32, data+32+8, sigLen, data+32+8+sigLen, pubLen); } -static void __javasecp256k1_attach(void) __attribute__((constructor)); -static void __javasecp256k1_detach(void) __attribute__((destructor)); +SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context + (JNIEnv* env, jclass classObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + + secp256k1_context_destroy(ctx); -static void __javasecp256k1_attach(void) { - secp256k1_start(SECP256K1_START_VERIFY); + (void)classObject;(void)env; } -static void __javasecp256k1_detach(void) { - secp256k1_stop(); +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint siglen, jint publen) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + + unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* sigdata = { (unsigned char*) (data + 32) }; + const unsigned char* pubdata = { (unsigned char*) (data + siglen + 32) }; + + secp256k1_ecdsa_signature sig; + secp256k1_pubkey pubkey; + + int ret = secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigdata, siglen); + + if( ret ) { + ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen); + + if( ret ) { + ret = secp256k1_ecdsa_verify(ctx, &sig, data, &pubkey); + } + } + + (void)classObject; + + return ret; +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + unsigned char* secKey = (unsigned char*) (data + 32); + + jobjectArray retArray; + jbyteArray sigArray, intsByteArray; + unsigned char intsarray[2]; + + secp256k1_ecdsa_signature sig[72]; + + int ret = secp256k1_ecdsa_sign(ctx, sig, data, secKey, NULL, NULL ); + + unsigned char outputSer[72]; + size_t outputLen = 72; + + if( ret ) { + int ret2 = secp256k1_ecdsa_signature_serialize_der(ctx,outputSer, &outputLen, sig ); (void)ret2; + } + + intsarray[0] = outputLen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + sigArray = (*env)->NewByteArray(env, outputLen); + (*env)->SetByteArrayRegion(env, sigArray, 0, outputLen, (jbyte*)outputSer); + (*env)->SetObjectArrayElement(env, retArray, 0, sigArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; +} + +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + + (void)classObject; + + return secp256k1_ec_seckey_verify(ctx, secKey); +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + const unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + + secp256k1_pubkey pubkey; + + jobjectArray retArray; + jbyteArray pubkeyArray, intsByteArray; + unsigned char intsarray[2]; + + int ret = secp256k1_ec_pubkey_create(ctx, &pubkey, secKey); + + unsigned char outputSer[65]; + size_t outputLen = 65; + + if( ret ) { + int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; + } + + intsarray[0] = outputLen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + pubkeyArray = (*env)->NewByteArray(env, outputLen); + (*env)->SetByteArrayRegion(env, pubkeyArray, 0, outputLen, (jbyte*)outputSer); + (*env)->SetObjectArrayElement(env, retArray, 0, pubkeyArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; + +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* tweak = (unsigned char*) (privkey + 32); + + jobjectArray retArray; + jbyteArray privArray, intsByteArray; + unsigned char intsarray[2]; + + int privkeylen = 32; + + int ret = secp256k1_ec_privkey_tweak_add(ctx, privkey, tweak); + + intsarray[0] = privkeylen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + privArray = (*env)->NewByteArray(env, privkeylen); + (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey); + (*env)->SetObjectArrayElement(env, retArray, 0, privArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* tweak = (unsigned char*) (privkey + 32); + + jobjectArray retArray; + jbyteArray privArray, intsByteArray; + unsigned char intsarray[2]; + + int privkeylen = 32; + + int ret = secp256k1_ec_privkey_tweak_mul(ctx, privkey, tweak); + + intsarray[0] = privkeylen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + privArray = (*env)->NewByteArray(env, privkeylen); + (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey); + (*env)->SetObjectArrayElement(env, retArray, 0, privArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; +/* secp256k1_pubkey* pubkey = (secp256k1_pubkey*) (*env)->GetDirectBufferAddress(env, byteBufferObject);*/ + unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* tweak = (unsigned char*) (pkey + publen); + + jobjectArray retArray; + jbyteArray pubArray, intsByteArray; + unsigned char intsarray[2]; + unsigned char outputSer[65]; + size_t outputLen = 65; + + secp256k1_pubkey pubkey; + int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen); + + if( ret ) { + ret = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, tweak); + } + + if( ret ) { + int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; + } + + intsarray[0] = outputLen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + pubArray = (*env)->NewByteArray(env, outputLen); + (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer); + (*env)->SetObjectArrayElement(env, retArray, 0, pubArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* tweak = (unsigned char*) (pkey + publen); + + jobjectArray retArray; + jbyteArray pubArray, intsByteArray; + unsigned char intsarray[2]; + unsigned char outputSer[65]; + size_t outputLen = 65; + + secp256k1_pubkey pubkey; + int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen); + + if ( ret ) { + ret = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, tweak); + } + + if( ret ) { + int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2; + } + + intsarray[0] = outputLen; + intsarray[1] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + pubArray = (*env)->NewByteArray(env, outputLen); + (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer); + (*env)->SetObjectArrayElement(env, retArray, 0, pubArray); + + intsByteArray = (*env)->NewByteArray(env, 2); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; +} + +SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1pubkey_1combine + (JNIEnv * env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint numkeys) +{ + (void)classObject;(void)env;(void)byteBufferObject;(void)ctx_l;(void)numkeys; + + return 0; +} + +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen) +{ + secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l; + const unsigned char* secdata = (*env)->GetDirectBufferAddress(env, byteBufferObject); + const unsigned char* pubdata = (const unsigned char*) (secdata + 32); + + jobjectArray retArray; + jbyteArray outArray, intsByteArray; + unsigned char intsarray[1]; + secp256k1_pubkey pubkey; + unsigned char nonce_res[32]; + size_t outputLen = 32; + + int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen); + + if (ret) { + ret = secp256k1_ecdh( + ctx, + nonce_res, + &pubkey, + secdata + ); + } + + intsarray[0] = ret; + + retArray = (*env)->NewObjectArray(env, 2, + (*env)->FindClass(env, "[B"), + (*env)->NewByteArray(env, 1)); + + outArray = (*env)->NewByteArray(env, outputLen); + (*env)->SetByteArrayRegion(env, outArray, 0, 32, (jbyte*)nonce_res); + (*env)->SetObjectArrayElement(env, retArray, 0, outArray); + + intsByteArray = (*env)->NewByteArray(env, 1); + (*env)->SetByteArrayRegion(env, intsByteArray, 0, 1, (jbyte*)intsarray); + (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray); + + (void)classObject; + + return retArray; } diff --git a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h index d7fb004fa..fe613c9e9 100644 --- a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h +++ b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h @@ -1,5 +1,6 @@ /* DO NOT EDIT THIS FILE - it is machine generated */ #include <jni.h> +#include "include/secp256k1.h" /* Header for class org_bitcoin_NativeSecp256k1 */ #ifndef _Included_org_bitcoin_NativeSecp256k1 @@ -9,11 +10,108 @@ extern "C" { #endif /* * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ctx_clone + * Signature: (J)J + */ +SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone + (JNIEnv *, jclass, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_context_randomize + * Signature: (Ljava/nio/ByteBuffer;J)I + */ +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_privkey_tweak_add + * Signature: (Ljava/nio/ByteBuffer;J)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_privkey_tweak_mul + * Signature: (Ljava/nio/ByteBuffer;J)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_pubkey_tweak_add + * Signature: (Ljava/nio/ByteBuffer;JI)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add + (JNIEnv *, jclass, jobject, jlong, jint); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_pubkey_tweak_mul + * Signature: (Ljava/nio/ByteBuffer;JI)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul + (JNIEnv *, jclass, jobject, jlong, jint); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_destroy_context + * Signature: (J)V + */ +SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context + (JNIEnv *, jclass, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 * Method: secp256k1_ecdsa_verify - * Signature: (Ljava/nio/ByteBuffer;)I + * Signature: (Ljava/nio/ByteBuffer;JII)I + */ +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify + (JNIEnv *, jclass, jobject, jlong, jint, jint); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ecdsa_sign + * Signature: (Ljava/nio/ByteBuffer;J)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ec_seckey_verify + * Signature: (Ljava/nio/ByteBuffer;J)I + */ +SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ec_pubkey_create + * Signature: (Ljava/nio/ByteBuffer;J)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create + (JNIEnv *, jclass, jobject, jlong); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ec_pubkey_parse + * Signature: (Ljava/nio/ByteBuffer;JI)[[B + */ +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1parse + (JNIEnv *, jclass, jobject, jlong, jint); + +/* + * Class: org_bitcoin_NativeSecp256k1 + * Method: secp256k1_ecdh + * Signature: (Ljava/nio/ByteBuffer;JI)[[B */ -JNIEXPORT jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify - (JNIEnv *, jclass, jobject); +SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh + (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen); + #ifdef __cplusplus } diff --git a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c new file mode 100644 index 000000000..a52939e7e --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c @@ -0,0 +1,15 @@ +#include <stdlib.h> +#include <stdint.h> +#include "org_bitcoin_Secp256k1Context.h" +#include "include/secp256k1.h" + +SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context + (JNIEnv* env, jclass classObject) +{ + secp256k1_context *ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + + (void)classObject;(void)env; + + return (uintptr_t)ctx; +} + diff --git a/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h new file mode 100644 index 000000000..0d2bc84b7 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h @@ -0,0 +1,22 @@ +/* DO NOT EDIT THIS FILE - it is machine generated */ +#include <jni.h> +#include "include/secp256k1.h" +/* Header for class org_bitcoin_Secp256k1Context */ + +#ifndef _Included_org_bitcoin_Secp256k1Context +#define _Included_org_bitcoin_Secp256k1Context +#ifdef __cplusplus +extern "C" { +#endif +/* + * Class: org_bitcoin_Secp256k1Context + * Method: secp256k1_init_context + * Signature: ()J + */ +SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context + (JNIEnv *, jclass); + +#ifdef __cplusplus +} +#endif +#endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include index 8ef3aff92..e3088b469 100644 --- a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include +++ b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include @@ -4,6 +4,5 @@ noinst_HEADERS += src/modules/ecdh/tests_impl.h if USE_BENCHMARK noinst_PROGRAMS += bench_ecdh bench_ecdh_SOURCES = src/bench_ecdh.c -bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) -bench_ecdh_LDFLAGS = -static +bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB) endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h index c23e4f82f..9e30fb73d 100644 --- a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h @@ -16,10 +16,10 @@ int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *result, const se secp256k1_gej res; secp256k1_ge pt; secp256k1_scalar s; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(result != NULL); ARG_CHECK(point != NULL); ARG_CHECK(scalar != NULL); - (void)ctx; secp256k1_pubkey_load(ctx, &pt, point); secp256k1_scalar_set_b32(&s, scalar, &overflow); diff --git a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h index 7badc9033..85a5d0a9a 100644 --- a/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h @@ -7,6 +7,35 @@ #ifndef _SECP256K1_MODULE_ECDH_TESTS_ #define _SECP256K1_MODULE_ECDH_TESTS_ +void test_ecdh_api(void) { + /* Setup context that just counts errors */ + secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN); + secp256k1_pubkey point; + unsigned char res[32]; + unsigned char s_one[32] = { 0 }; + int32_t ecount = 0; + s_one[31] = 1; + + secp256k1_context_set_error_callback(tctx, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(tctx, counting_illegal_callback_fn, &ecount); + CHECK(secp256k1_ec_pubkey_create(tctx, &point, s_one) == 1); + + /* Check all NULLs are detected */ + CHECK(secp256k1_ecdh(tctx, res, &point, s_one) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdh(tctx, res, NULL, s_one) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdh(tctx, res, &point, NULL) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_ecdh(tctx, res, &point, s_one) == 1); + CHECK(ecount == 3); + + /* Cleanup */ + secp256k1_context_destroy(tctx); +} + void test_ecdh_generator_basepoint(void) { unsigned char s_one[32] = { 0 }; secp256k1_pubkey point[2]; @@ -68,6 +97,7 @@ void test_bad_scalar(void) { } void run_ecdh_tests(void) { + test_ecdh_api(); test_ecdh_generator_basepoint(); test_bad_scalar(); } diff --git a/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include b/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include index 754469eeb..bf23c26e7 100644 --- a/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include +++ b/crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include @@ -4,6 +4,5 @@ noinst_HEADERS += src/modules/recovery/tests_impl.h if USE_BENCHMARK noinst_PROGRAMS += bench_recover bench_recover_SOURCES = src/bench_recover.c -bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) -bench_recover_LDFLAGS = -static +bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB) endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h index 75b695894..c6fbe2398 100644..100755 --- a/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h @@ -63,6 +63,7 @@ int secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_cont (void)ctx; ARG_CHECK(output64 != NULL); ARG_CHECK(sig != NULL); + ARG_CHECK(recid != NULL); secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, recid, sig); secp256k1_scalar_get_b32(&output64[0], &r); @@ -83,6 +84,42 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, return 1; } +static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { + unsigned char brx[32]; + secp256k1_fe fx; + secp256k1_ge x; + secp256k1_gej xj; + secp256k1_scalar rn, u1, u2; + secp256k1_gej qj; + int r; + + if (secp256k1_scalar_is_zero(sigr) || secp256k1_scalar_is_zero(sigs)) { + return 0; + } + + secp256k1_scalar_get_b32(brx, sigr); + r = secp256k1_fe_set_b32(&fx, brx); + (void)r; + VERIFY_CHECK(r); /* brx comes from a scalar, so is less than the order; certainly less than p */ + if (recid & 2) { + if (secp256k1_fe_cmp_var(&fx, &secp256k1_ecdsa_const_p_minus_order) >= 0) { + return 0; + } + secp256k1_fe_add(&fx, &secp256k1_ecdsa_const_order_as_fe); + } + if (!secp256k1_ge_set_xo_var(&x, &fx, recid & 1)) { + return 0; + } + secp256k1_gej_set_ge(&xj, &x); + secp256k1_scalar_inverse_var(&rn, sigr); + secp256k1_scalar_mul(&u1, &rn, message); + secp256k1_scalar_negate(&u1, &u1); + secp256k1_scalar_mul(&u2, &rn, sigs); + secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); + secp256k1_ge_set_gej_var(pubkey, &qj); + return !secp256k1_gej_is_infinity(&qj); +} + int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { secp256k1_scalar r, s; secp256k1_scalar sec, non, msg; @@ -101,16 +138,15 @@ int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecd secp256k1_scalar_set_b32(&sec, seckey, &overflow); /* Fail if the secret key is invalid. */ if (!overflow && !secp256k1_scalar_is_zero(&sec)) { + unsigned char nonce32[32]; unsigned int count = 0; secp256k1_scalar_set_b32(&msg, msg32, NULL); while (1) { - unsigned char nonce32[32]; - ret = noncefp(nonce32, seckey, msg32, NULL, (void*)noncedata, count); + ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count); if (!ret) { break; } secp256k1_scalar_set_b32(&non, nonce32, &overflow); - memset(nonce32, 0, 32); if (!secp256k1_scalar_is_zero(&non) && !overflow) { if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, &recid)) { break; @@ -118,6 +154,7 @@ int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecd } count++; } + memset(nonce32, 0, 32); secp256k1_scalar_clear(&msg); secp256k1_scalar_clear(&non); secp256k1_scalar_clear(&sec); @@ -142,7 +179,7 @@ int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubk ARG_CHECK(pubkey != NULL); secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature); - ARG_CHECK(recid >= 0 && recid < 4); + VERIFY_CHECK(recid >= 0 && recid < 4); /* should have been caught in parse_compact */ secp256k1_scalar_set_b32(&m, msg32, NULL); if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) { secp256k1_pubkey_save(pubkey, &q); diff --git a/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h index 5a78fae92..765c7dd81 100644 --- a/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h @@ -7,6 +7,146 @@ #ifndef _SECP256K1_MODULE_RECOVERY_TESTS_ #define _SECP256K1_MODULE_RECOVERY_TESTS_ +static int recovery_test_nonce_function(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) { + (void) msg32; + (void) key32; + (void) algo16; + (void) data; + + /* On the first run, return 0 to force a second run */ + if (counter == 0) { + memset(nonce32, 0, 32); + return 1; + } + /* On the second run, return an overflow to force a third run */ + if (counter == 1) { + memset(nonce32, 0xff, 32); + return 1; + } + /* On the next run, return a valid nonce, but flip a coin as to whether or not to fail signing. */ + memset(nonce32, 1, 32); + return secp256k1_rand_bits(1); +} + +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_pubkey pubkey; + secp256k1_pubkey recpubkey; + secp256k1_ecdsa_signature normal_sig; + secp256k1_ecdsa_recoverable_signature recsig; + unsigned char privkey[32] = { 1 }; + unsigned char message[32] = { 2 }; + int32_t ecount = 0; + int recid = 0; + unsigned char sig[74]; + unsigned char zero_privkey[32] = { 0 }; + unsigned char over_privkey[32] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 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_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); + + /* Construct and verify corresponding public key. */ + CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); + + /* Check bad contexts and NULLs for signing */ + ecount = 0; + CHECK(secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(sign, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_sign_recoverable(both, NULL, message, privkey, NULL, NULL) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, NULL, privkey, NULL, NULL) == 0); + CHECK(ecount == 4); + CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, NULL, NULL, NULL) == 0); + CHECK(ecount == 5); + /* 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); + CHECK(ecount == 5); + /* 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); + /* This one will succeed. */ + CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); + CHECK(ecount == 5); + + /* Check signing with a goofy nonce function */ + + /* Check bad contexts and NULLs for recovery */ + ecount = 0; + CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0); + CHECK(ecount == 4); + CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0); + CHECK(ecount == 5); + + /* Check NULLs for conversion */ + CHECK(secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1); + ecount = 0; + CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, NULL, &recsig) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, NULL) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recoverable_signature_convert(both, &normal_sig, &recsig) == 1); + + /* Check NULLs for de/serialization */ + CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1); + ecount = 0; + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, NULL, &recid, &recsig) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, NULL, &recsig) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, NULL) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(both, sig, &recid, &recsig) == 1); + + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, NULL, sig, recid) == 0); + CHECK(ecount == 4); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, NULL, recid) == 0); + CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &recsig, sig, -1) == 0); + CHECK(ecount == 6); + CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(both, &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(ecount == 7); + + /* cleanup */ + secp256k1_context_destroy(none); + secp256k1_context_destroy(sign); + secp256k1_context_destroy(vrfy); + secp256k1_context_destroy(both); +} + void test_ecdsa_recovery_end_to_end(void) { unsigned char extra[32] = {0x00}; unsigned char privkey[32]; @@ -34,6 +174,7 @@ void test_ecdsa_recovery_end_to_end(void) { /* Serialize/parse compact and verify/recover. */ extra[0] = 0; CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[0], message, privkey, NULL, NULL) == 1); + CHECK(secp256k1_ecdsa_sign(ctx, &signature[0], message, privkey, NULL, NULL) == 1); CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[4], message, privkey, NULL, NULL) == 1); CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[1], message, privkey, NULL, extra) == 1); extra[31] = 1; @@ -43,6 +184,7 @@ void test_ecdsa_recovery_end_to_end(void) { CHECK(secp256k1_ecdsa_sign_recoverable(ctx, &rsignature[3], message, privkey, NULL, extra) == 1); CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); + CHECK(memcmp(&signature[4], &signature[0], 64) == 0); CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 1); memset(&rsignature[4], 0, sizeof(rsignature[4])); CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); @@ -54,7 +196,7 @@ void test_ecdsa_recovery_end_to_end(void) { CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0); /* Serialize/destroy/parse signature and verify again. */ CHECK(secp256k1_ecdsa_recoverable_signature_serialize_compact(ctx, sig, &recid, &rsignature[4]) == 1); - sig[secp256k1_rand32() % 64] += 1 + (secp256k1_rand32() % 255); + sig[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsignature[4], sig, recid) == 1); CHECK(secp256k1_ecdsa_recoverable_signature_convert(ctx, &signature[4], &rsignature[4]) == 1); CHECK(secp256k1_ecdsa_verify(ctx, &signature[4], message, &pubkey) == 0); @@ -161,25 +303,24 @@ void test_ecdsa_recovery_edge_cases(void) { CHECK(secp256k1_ecdsa_recoverable_signature_parse_compact(ctx, &rsig, sigb64, recid2) == 1); CHECK(secp256k1_ecdsa_recover(ctx, &pubkey2b, &rsig, msg32) == 1); /* Verifying with (order + r,4) should always fail. */ - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderlong, sizeof(sigbderlong)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderlong, sizeof(sigbderlong)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); } /* DER parsing tests. */ /* Zero length r/s. */ CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zr, sizeof(sigcder_zr)) == 0); CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigcder_zs, sizeof(sigcder_zs)) == 0); /* Leading zeros. */ - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt1, sizeof(sigbderalt1)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt2, sizeof(sigbderalt2)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); - CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1); - CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 1); - sigbderalt3[4] = 1; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt1, sizeof(sigbderalt1)) == 0); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt2, sizeof(sigbderalt2)) == 0); CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 0); - sigbderalt4[7] = 1; CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 0); + sigbderalt3[4] = 1; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt3, sizeof(sigbderalt3)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); + sigbderalt4[7] = 1; + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbderalt4, sizeof(sigbderalt4)) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg32, &pubkeyb) == 0); /* Damage signature. */ sigbder[7]++; CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigbder, sizeof(sigbder)) == 1); @@ -240,6 +381,9 @@ void test_ecdsa_recovery_edge_cases(void) { void run_recovery_tests(void) { int i; + for (i = 0; i < count; i++) { + test_ecdsa_recovery_api(); + } for (i = 0; i < 64*count; i++) { test_ecdsa_recovery_end_to_end(); } diff --git a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/Makefile.am.include b/crypto/secp256k1/libsecp256k1/src/modules/schnorr/Makefile.am.include deleted file mode 100644 index bad4cb7c5..000000000 --- a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/Makefile.am.include +++ /dev/null @@ -1,11 +0,0 @@ -include_HEADERS += include/secp256k1_schnorr.h -noinst_HEADERS += src/modules/schnorr/main_impl.h -noinst_HEADERS += src/modules/schnorr/schnorr.h -noinst_HEADERS += src/modules/schnorr/schnorr_impl.h -noinst_HEADERS += src/modules/schnorr/tests_impl.h -if USE_BENCHMARK -noinst_PROGRAMS += bench_schnorr_verify -bench_schnorr_verify_SOURCES = src/bench_schnorr_verify.c -bench_schnorr_verify_LDADD = libsecp256k1.la $(SECP_LIBS) -bench_schnorr_verify_LDFLAGS = -static -endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/main_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/schnorr/main_impl.h deleted file mode 100644 index c10fd259f..000000000 --- a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/main_impl.h +++ /dev/null @@ -1,164 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_MODULE_SCHNORR_MAIN -#define SECP256K1_MODULE_SCHNORR_MAIN - -#include "include/secp256k1_schnorr.h" -#include "modules/schnorr/schnorr_impl.h" - -static void secp256k1_schnorr_msghash_sha256(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32) { - secp256k1_sha256_t sha; - secp256k1_sha256_initialize(&sha); - secp256k1_sha256_write(&sha, r32, 32); - secp256k1_sha256_write(&sha, msg32, 32); - secp256k1_sha256_finalize(&sha, h32); -} - -static const unsigned char secp256k1_schnorr_algo16[17] = "Schnorr+SHA256 "; - -int secp256k1_schnorr_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) { - secp256k1_scalar sec, non; - int ret = 0; - int overflow = 0; - unsigned int count = 0; - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(sig64 != NULL); - ARG_CHECK(seckey != NULL); - if (noncefp == NULL) { - noncefp = secp256k1_nonce_function_default; - } - - secp256k1_scalar_set_b32(&sec, seckey, NULL); - while (1) { - unsigned char nonce32[32]; - ret = noncefp(nonce32, msg32, seckey, secp256k1_schnorr_algo16, (void*)noncedata, count); - if (!ret) { - break; - } - secp256k1_scalar_set_b32(&non, nonce32, &overflow); - memset(nonce32, 0, 32); - if (!secp256k1_scalar_is_zero(&non) && !overflow) { - if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, &sec, &non, NULL, secp256k1_schnorr_msghash_sha256, msg32)) { - break; - } - } - count++; - } - if (!ret) { - memset(sig64, 0, 64); - } - secp256k1_scalar_clear(&non); - secp256k1_scalar_clear(&sec); - return ret; -} - -int secp256k1_schnorr_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg32, const secp256k1_pubkey *pubkey) { - secp256k1_ge q; - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(sig64 != NULL); - ARG_CHECK(pubkey != NULL); - - secp256k1_pubkey_load(ctx, &q, pubkey); - return secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &q, secp256k1_schnorr_msghash_sha256, msg32); -} - -int secp256k1_schnorr_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *sig64, const unsigned char *msg32) { - secp256k1_ge q; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(sig64 != NULL); - ARG_CHECK(pubkey != NULL); - - if (secp256k1_schnorr_sig_recover(&ctx->ecmult_ctx, sig64, &q, secp256k1_schnorr_msghash_sha256, msg32)) { - secp256k1_pubkey_save(pubkey, &q); - return 1; - } else { - memset(pubkey, 0, sizeof(*pubkey)); - return 0; - } -} - -int secp256k1_schnorr_generate_nonce_pair(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, unsigned char *privnonce32, const unsigned char *sec32, const unsigned char *msg32, secp256k1_nonce_function noncefp, const void* noncedata) { - int count = 0; - int ret = 1; - secp256k1_gej Qj; - secp256k1_ge Q; - secp256k1_scalar sec; - - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(sec32 != NULL); - ARG_CHECK(pubnonce != NULL); - ARG_CHECK(privnonce32 != NULL); - - if (noncefp == NULL) { - noncefp = secp256k1_nonce_function_default; - } - - do { - int overflow; - ret = noncefp(privnonce32, sec32, msg32, secp256k1_schnorr_algo16, (void*)noncedata, count++); - if (!ret) { - break; - } - secp256k1_scalar_set_b32(&sec, privnonce32, &overflow); - if (overflow || secp256k1_scalar_is_zero(&sec)) { - continue; - } - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &Qj, &sec); - secp256k1_ge_set_gej(&Q, &Qj); - - secp256k1_pubkey_save(pubnonce, &Q); - break; - } while(1); - - secp256k1_scalar_clear(&sec); - if (!ret) { - memset(pubnonce, 0, sizeof(*pubnonce)); - } - return ret; -} - -int secp256k1_schnorr_partial_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const unsigned char *sec32, const secp256k1_pubkey *pubnonce_others, const unsigned char *secnonce32) { - int overflow = 0; - secp256k1_scalar sec, non; - secp256k1_ge pubnon; - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - ARG_CHECK(msg32 != NULL); - ARG_CHECK(sig64 != NULL); - ARG_CHECK(sec32 != NULL); - ARG_CHECK(secnonce32 != NULL); - ARG_CHECK(pubnonce_others != NULL); - - secp256k1_scalar_set_b32(&sec, sec32, &overflow); - if (overflow || secp256k1_scalar_is_zero(&sec)) { - return -1; - } - secp256k1_scalar_set_b32(&non, secnonce32, &overflow); - if (overflow || secp256k1_scalar_is_zero(&non)) { - return -1; - } - secp256k1_pubkey_load(ctx, &pubnon, pubnonce_others); - return secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, &sec, &non, &pubnon, secp256k1_schnorr_msghash_sha256, msg32); -} - -int secp256k1_schnorr_partial_combine(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char * const *sig64sin, int n) { - ARG_CHECK(sig64 != NULL); - ARG_CHECK(n >= 1); - ARG_CHECK(sig64sin != NULL); - return secp256k1_schnorr_sig_combine(sig64, n, sig64sin); -} - -#endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr.h b/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr.h deleted file mode 100644 index d227433d4..000000000 --- a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr.h +++ /dev/null @@ -1,20 +0,0 @@ -/*********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php. * - ***********************************************************************/ - -#ifndef _SECP256K1_MODULE_SCHNORR_H_ -#define _SECP256K1_MODULE_SCHNORR_H_ - -#include "scalar.h" -#include "group.h" - -typedef void (*secp256k1_schnorr_msghash)(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32); - -static int secp256k1_schnorr_sig_sign(const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, const secp256k1_scalar *key, const secp256k1_scalar *nonce, const secp256k1_ge *pubnonce, secp256k1_schnorr_msghash hash, const unsigned char *msg32); -static int secp256k1_schnorr_sig_verify(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, const secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32); -static int secp256k1_schnorr_sig_recover(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32); -static int secp256k1_schnorr_sig_combine(unsigned char *sig64, int n, const unsigned char * const *sig64ins); - -#endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr_impl.h deleted file mode 100644 index ed70390bb..000000000 --- a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr_impl.h +++ /dev/null @@ -1,207 +0,0 @@ -/*********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php. * - ***********************************************************************/ - -#ifndef _SECP256K1_SCHNORR_IMPL_H_ -#define _SECP256K1_SCHNORR_IMPL_H_ - -#include <string.h> - -#include "schnorr.h" -#include "num.h" -#include "field.h" -#include "group.h" -#include "ecmult.h" -#include "ecmult_gen.h" - -/** - * Custom Schnorr-based signature scheme. They support multiparty signing, public key - * recovery and batch validation. - * - * Rationale for verifying R's y coordinate: - * In order to support batch validation and public key recovery, the full R point must - * be known to verifiers, rather than just its x coordinate. In order to not risk - * being more strict in batch validation than normal validation, validators must be - * required to reject signatures with incorrect y coordinate. This is only possible - * by including a (relatively slow) field inverse, or a field square root. However, - * batch validation offers potentially much higher benefits than this cost. - * - * Rationale for having an implicit y coordinate oddness: - * If we commit to having the full R point known to verifiers, there are two mechanism. - * Either include its oddness in the signature, or give it an implicit fixed value. - * As the R y coordinate can be flipped by a simple negation of the nonce, we choose the - * latter, as it comes with nearly zero impact on signing or validation performance, and - * saves a byte in the signature. - * - * Signing: - * Inputs: 32-byte message m, 32-byte scalar key x (!=0), 32-byte scalar nonce k (!=0) - * - * Compute point R = k * G. Reject nonce if R's y coordinate is odd (or negate nonce). - * Compute 32-byte r, the serialization of R's x coordinate. - * Compute scalar h = Hash(r || m). Reject nonce if h == 0 or h >= order. - * Compute scalar s = k - h * x. - * The signature is (r, s). - * - * - * Verification: - * Inputs: 32-byte message m, public key point Q, signature: (32-byte r, scalar s) - * - * Signature is invalid if s >= order. - * Signature is invalid if r >= p. - * Compute scalar h = Hash(r || m). Signature is invalid if h == 0 or h >= order. - * Option 1 (faster for single verification): - * Compute point R = h * Q + s * G. Signature is invalid if R is infinity or R's y coordinate is odd. - * Signature is valid if the serialization of R's x coordinate equals r. - * Option 2 (allows batch validation and pubkey recovery): - * Decompress x coordinate r into point R, with odd y coordinate. Fail if R is not on the curve. - * Signature is valid if R + h * Q + s * G == 0. - */ - -static int secp256k1_schnorr_sig_sign(const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, const secp256k1_scalar *key, const secp256k1_scalar *nonce, const secp256k1_ge *pubnonce, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { - secp256k1_gej Rj; - secp256k1_ge Ra; - unsigned char h32[32]; - secp256k1_scalar h, s; - int overflow; - secp256k1_scalar n; - - if (secp256k1_scalar_is_zero(key) || secp256k1_scalar_is_zero(nonce)) { - return 0; - } - n = *nonce; - - secp256k1_ecmult_gen(ctx, &Rj, &n); - if (pubnonce != NULL) { - secp256k1_gej_add_ge(&Rj, &Rj, pubnonce); - } - secp256k1_ge_set_gej(&Ra, &Rj); - secp256k1_fe_normalize(&Ra.y); - if (secp256k1_fe_is_odd(&Ra.y)) { - /* R's y coordinate is odd, which is not allowed (see rationale above). - Force it to be even by negating the nonce. Note that this even works - for multiparty signing, as the R point is known to all participants, - which can all decide to flip the sign in unison, resulting in the - overall R point to be negated too. */ - secp256k1_scalar_negate(&n, &n); - } - secp256k1_fe_normalize(&Ra.x); - secp256k1_fe_get_b32(sig64, &Ra.x); - hash(h32, sig64, msg32); - overflow = 0; - secp256k1_scalar_set_b32(&h, h32, &overflow); - if (overflow || secp256k1_scalar_is_zero(&h)) { - secp256k1_scalar_clear(&n); - return 0; - } - secp256k1_scalar_mul(&s, &h, key); - secp256k1_scalar_negate(&s, &s); - secp256k1_scalar_add(&s, &s, &n); - secp256k1_scalar_clear(&n); - secp256k1_scalar_get_b32(sig64 + 32, &s); - return 1; -} - -static int secp256k1_schnorr_sig_verify(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, const secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { - secp256k1_gej Qj, Rj; - secp256k1_ge Ra; - secp256k1_fe Rx; - secp256k1_scalar h, s; - unsigned char hh[32]; - int overflow; - - if (secp256k1_ge_is_infinity(pubkey)) { - return 0; - } - hash(hh, sig64, msg32); - overflow = 0; - secp256k1_scalar_set_b32(&h, hh, &overflow); - if (overflow || secp256k1_scalar_is_zero(&h)) { - return 0; - } - overflow = 0; - secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); - if (overflow) { - return 0; - } - if (!secp256k1_fe_set_b32(&Rx, sig64)) { - return 0; - } - secp256k1_gej_set_ge(&Qj, pubkey); - secp256k1_ecmult(ctx, &Rj, &Qj, &h, &s); - if (secp256k1_gej_is_infinity(&Rj)) { - return 0; - } - secp256k1_ge_set_gej_var(&Ra, &Rj); - secp256k1_fe_normalize_var(&Ra.y); - if (secp256k1_fe_is_odd(&Ra.y)) { - return 0; - } - return secp256k1_fe_equal_var(&Rx, &Ra.x); -} - -static int secp256k1_schnorr_sig_recover(const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, secp256k1_schnorr_msghash hash, const unsigned char *msg32) { - secp256k1_gej Qj, Rj; - secp256k1_ge Ra; - secp256k1_fe Rx; - secp256k1_scalar h, s; - unsigned char hh[32]; - int overflow; - - hash(hh, sig64, msg32); - overflow = 0; - secp256k1_scalar_set_b32(&h, hh, &overflow); - if (overflow || secp256k1_scalar_is_zero(&h)) { - return 0; - } - overflow = 0; - secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); - if (overflow) { - return 0; - } - if (!secp256k1_fe_set_b32(&Rx, sig64)) { - return 0; - } - if (!secp256k1_ge_set_xo_var(&Ra, &Rx, 0)) { - return 0; - } - secp256k1_gej_set_ge(&Rj, &Ra); - secp256k1_scalar_inverse_var(&h, &h); - secp256k1_scalar_negate(&s, &s); - secp256k1_scalar_mul(&s, &s, &h); - secp256k1_ecmult(ctx, &Qj, &Rj, &h, &s); - if (secp256k1_gej_is_infinity(&Qj)) { - return 0; - } - secp256k1_ge_set_gej(pubkey, &Qj); - return 1; -} - -static int secp256k1_schnorr_sig_combine(unsigned char *sig64, int n, const unsigned char * const *sig64ins) { - secp256k1_scalar s = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); - int i; - for (i = 0; i < n; i++) { - secp256k1_scalar si; - int overflow; - secp256k1_scalar_set_b32(&si, sig64ins[i] + 32, &overflow); - if (overflow) { - return -1; - } - if (i) { - if (memcmp(sig64ins[i - 1], sig64ins[i], 32) != 0) { - return -1; - } - } - secp256k1_scalar_add(&s, &s, &si); - } - if (secp256k1_scalar_is_zero(&s)) { - return 0; - } - memcpy(sig64, sig64ins[0], 32); - secp256k1_scalar_get_b32(sig64 + 32, &s); - secp256k1_scalar_clear(&s); - return 1; -} - -#endif diff --git a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/tests_impl.h b/crypto/secp256k1/libsecp256k1/src/modules/schnorr/tests_impl.h deleted file mode 100644 index 79737f748..000000000 --- a/crypto/secp256k1/libsecp256k1/src/modules/schnorr/tests_impl.h +++ /dev/null @@ -1,175 +0,0 @@ -/********************************************************************** - * Copyright (c) 2014-2015 Pieter Wuille * - * Distributed under the MIT software license, see the accompanying * - * file COPYING or http://www.opensource.org/licenses/mit-license.php.* - **********************************************************************/ - -#ifndef SECP256K1_MODULE_SCHNORR_TESTS -#define SECP256K1_MODULE_SCHNORR_TESTS - -#include "include/secp256k1_schnorr.h" - -void test_schnorr_end_to_end(void) { - unsigned char privkey[32]; - unsigned char message[32]; - unsigned char schnorr_signature[64]; - secp256k1_pubkey pubkey, recpubkey; - - /* Generate a random key and message. */ - { - secp256k1_scalar key; - random_scalar_order_test(&key); - secp256k1_scalar_get_b32(privkey, &key); - secp256k1_rand256_test(message); - } - - /* Construct and verify corresponding public key. */ - CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); - CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); - - /* Schnorr sign. */ - CHECK(secp256k1_schnorr_sign(ctx, schnorr_signature, message, privkey, NULL, NULL) == 1); - CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 1); - CHECK(secp256k1_schnorr_recover(ctx, &recpubkey, schnorr_signature, message) == 1); - CHECK(memcmp(&pubkey, &recpubkey, sizeof(pubkey)) == 0); - /* Destroy signature and verify again. */ - schnorr_signature[secp256k1_rand32() % 64] += 1 + (secp256k1_rand32() % 255); - CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 0); - CHECK(secp256k1_schnorr_recover(ctx, &recpubkey, schnorr_signature, message) != 1 || - memcmp(&pubkey, &recpubkey, sizeof(pubkey)) != 0); -} - -/** Horribly broken hash function. Do not use for anything but tests. */ -void test_schnorr_hash(unsigned char *h32, const unsigned char *r32, const unsigned char *msg32) { - int i; - for (i = 0; i < 32; i++) { - h32[i] = r32[i] ^ msg32[i]; - } -} - -void test_schnorr_sign_verify(void) { - unsigned char msg32[32]; - unsigned char sig64[3][64]; - secp256k1_gej pubkeyj[3]; - secp256k1_ge pubkey[3]; - secp256k1_scalar nonce[3], key[3]; - int i = 0; - int k; - - secp256k1_rand256_test(msg32); - - for (k = 0; k < 3; k++) { - random_scalar_order_test(&key[k]); - - do { - random_scalar_order_test(&nonce[k]); - if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64[k], &key[k], &nonce[k], NULL, &test_schnorr_hash, msg32)) { - break; - } - } while(1); - - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubkeyj[k], &key[k]); - secp256k1_ge_set_gej_var(&pubkey[k], &pubkeyj[k]); - CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[k], &pubkey[k], &test_schnorr_hash, msg32)); - - for (i = 0; i < 4; i++) { - int pos = secp256k1_rand32() % 64; - int mod = 1 + (secp256k1_rand32() % 255); - sig64[k][pos] ^= mod; - CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[k], &pubkey[k], &test_schnorr_hash, msg32) == 0); - sig64[k][pos] ^= mod; - } - } -} - -void test_schnorr_threshold(void) { - unsigned char msg[32]; - unsigned char sec[5][32]; - secp256k1_pubkey pub[5]; - unsigned char nonce[5][32]; - secp256k1_pubkey pubnonce[5]; - unsigned char sig[5][64]; - const unsigned char* sigs[5]; - unsigned char allsig[64]; - const secp256k1_pubkey* pubs[5]; - secp256k1_pubkey allpub; - int n, i; - int damage; - int ret = 0; - - damage = (secp256k1_rand32() % 2) ? (1 + (secp256k1_rand32() % 4)) : 0; - secp256k1_rand256_test(msg); - n = 2 + (secp256k1_rand32() % 4); - for (i = 0; i < n; i++) { - do { - secp256k1_rand256_test(sec[i]); - } while (!secp256k1_ec_seckey_verify(ctx, sec[i])); - CHECK(secp256k1_ec_pubkey_create(ctx, &pub[i], sec[i])); - CHECK(secp256k1_schnorr_generate_nonce_pair(ctx, &pubnonce[i], nonce[i], msg, sec[i], NULL, NULL)); - pubs[i] = &pub[i]; - } - if (damage == 1) { - nonce[secp256k1_rand32() % n][secp256k1_rand32() % 32] ^= 1 + (secp256k1_rand32() % 255); - } else if (damage == 2) { - sec[secp256k1_rand32() % n][secp256k1_rand32() % 32] ^= 1 + (secp256k1_rand32() % 255); - } - for (i = 0; i < n; i++) { - secp256k1_pubkey allpubnonce; - const secp256k1_pubkey *pubnonces[4]; - int j; - for (j = 0; j < i; j++) { - pubnonces[j] = &pubnonce[j]; - } - for (j = i + 1; j < n; j++) { - pubnonces[j - 1] = &pubnonce[j]; - } - CHECK(secp256k1_ec_pubkey_combine(ctx, &allpubnonce, pubnonces, n - 1)); - ret |= (secp256k1_schnorr_partial_sign(ctx, sig[i], msg, sec[i], &allpubnonce, nonce[i]) != 1) * 1; - sigs[i] = sig[i]; - } - if (damage == 3) { - sig[secp256k1_rand32() % n][secp256k1_rand32() % 64] ^= 1 + (secp256k1_rand32() % 255); - } - ret |= (secp256k1_ec_pubkey_combine(ctx, &allpub, pubs, n) != 1) * 2; - if ((ret & 1) == 0) { - ret |= (secp256k1_schnorr_partial_combine(ctx, allsig, sigs, n) != 1) * 4; - } - if (damage == 4) { - allsig[secp256k1_rand32() % 32] ^= 1 + (secp256k1_rand32() % 255); - } - if ((ret & 7) == 0) { - ret |= (secp256k1_schnorr_verify(ctx, allsig, msg, &allpub) != 1) * 8; - } - CHECK((ret == 0) == (damage == 0)); -} - -void test_schnorr_recovery(void) { - unsigned char msg32[32]; - unsigned char sig64[64]; - secp256k1_ge Q; - - secp256k1_rand256_test(msg32); - secp256k1_rand256_test(sig64); - secp256k1_rand256_test(sig64 + 32); - if (secp256k1_schnorr_sig_recover(&ctx->ecmult_ctx, sig64, &Q, &test_schnorr_hash, msg32) == 1) { - CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &Q, &test_schnorr_hash, msg32) == 1); - } -} - -void run_schnorr_tests(void) { - int i; - for (i = 0; i < 32*count; i++) { - test_schnorr_end_to_end(); - } - for (i = 0; i < 32 * count; i++) { - test_schnorr_sign_verify(); - } - for (i = 0; i < 16 * count; i++) { - test_schnorr_recovery(); - } - for (i = 0; i < 10 * count; i++) { - test_schnorr_threshold(); - } -} - -#endif diff --git a/crypto/secp256k1/libsecp256k1/src/num.h b/crypto/secp256k1/libsecp256k1/src/num.h index ebfa71eb4..7bb9c5be8 100644 --- a/crypto/secp256k1/libsecp256k1/src/num.h +++ b/crypto/secp256k1/libsecp256k1/src/num.h @@ -32,6 +32,9 @@ static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsi /** Compute a modular inverse. The input must be less than the modulus. */ static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m); +/** Compute the jacobi symbol (a|b). b must be positive and odd. */ +static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b); + /** Compare the absolute value of two numbers. */ static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b); @@ -57,6 +60,9 @@ static void secp256k1_num_shift(secp256k1_num *r, int bits); /** Check whether a number is zero. */ static int secp256k1_num_is_zero(const secp256k1_num *a); +/** Check whether a number is one. */ +static int secp256k1_num_is_one(const secp256k1_num *a); + /** Check whether a number is strictly negative. */ static int secp256k1_num_is_neg(const secp256k1_num *a); diff --git a/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h b/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h index f43e7a56c..3a46495ee 100644 --- a/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h @@ -70,6 +70,7 @@ static void secp256k1_num_add_abs(secp256k1_num *r, const secp256k1_num *a, cons static void secp256k1_num_sub_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) { mp_limb_t c = mpn_sub(r->data, a->data, a->limbs, b->data, b->limbs); + (void)c; VERIFY_CHECK(c == 0); r->limbs = a->limbs; while (r->limbs > 1 && r->data[r->limbs-1]==0) { @@ -125,6 +126,7 @@ static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, } sn = NUM_LIMBS+1; gn = mpn_gcdext(g, r->data, &sn, u, m->limbs, v, m->limbs); + (void)gn; VERIFY_CHECK(gn == 1); VERIFY_CHECK(g[0] == 1); r->neg = a->neg ^ m->neg; @@ -142,6 +144,32 @@ static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, memset(v, 0, sizeof(v)); } +static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b) { + int ret; + mpz_t ga, gb; + secp256k1_num_sanity(a); + secp256k1_num_sanity(b); + VERIFY_CHECK(!b->neg && (b->limbs > 0) && (b->data[0] & 1)); + + mpz_inits(ga, gb, NULL); + + mpz_import(gb, b->limbs, -1, sizeof(mp_limb_t), 0, 0, b->data); + mpz_import(ga, a->limbs, -1, sizeof(mp_limb_t), 0, 0, a->data); + if (a->neg) { + mpz_neg(ga, ga); + } + + ret = mpz_jacobi(ga, gb); + + mpz_clears(ga, gb, NULL); + + return ret; +} + +static int secp256k1_num_is_one(const secp256k1_num *a) { + return (a->limbs == 1 && a->data[0] == 1); +} + static int secp256k1_num_is_zero(const secp256k1_num *a) { return (a->limbs == 1 && a->data[0] == 0); } diff --git a/crypto/secp256k1/libsecp256k1/src/scalar.h b/crypto/secp256k1/libsecp256k1/src/scalar.h index b590ccd6d..27e9d8375 100644 --- a/crypto/secp256k1/libsecp256k1/src/scalar.h +++ b/crypto/secp256k1/libsecp256k1/src/scalar.h @@ -13,7 +13,9 @@ #include "libsecp256k1-config.h" #endif -#if defined(USE_SCALAR_4X64) +#if defined(EXHAUSTIVE_TEST_ORDER) +#include "scalar_low.h" +#elif defined(USE_SCALAR_4X64) #include "scalar_4x64.h" #elif defined(USE_SCALAR_8X32) #include "scalar_8x32.h" diff --git a/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h b/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h index cbec34d71..56e7bd82a 100644 --- a/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h @@ -282,8 +282,8 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "movq 56(%%rsi), %%r14\n" /* Initialize r8,r9,r10 */ "movq 0(%%rsi), %%r8\n" - "movq $0, %%r9\n" - "movq $0, %%r10\n" + "xorq %%r9, %%r9\n" + "xorq %%r10, %%r10\n" /* (r8,r9) += n0 * c0 */ "movq %8, %%rax\n" "mulq %%r11\n" @@ -291,7 +291,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq %%rdx, %%r9\n" /* extract m0 */ "movq %%r8, %q0\n" - "movq $0, %%r8\n" + "xorq %%r8, %%r8\n" /* (r9,r10) += l1 */ "addq 8(%%rsi), %%r9\n" "adcq $0, %%r10\n" @@ -309,7 +309,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq $0, %%r8\n" /* extract m1 */ "movq %%r9, %q1\n" - "movq $0, %%r9\n" + "xorq %%r9, %%r9\n" /* (r10,r8,r9) += l2 */ "addq 16(%%rsi), %%r10\n" "adcq $0, %%r8\n" @@ -332,7 +332,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq $0, %%r9\n" /* extract m2 */ "movq %%r10, %q2\n" - "movq $0, %%r10\n" + "xorq %%r10, %%r10\n" /* (r8,r9,r10) += l3 */ "addq 24(%%rsi), %%r8\n" "adcq $0, %%r9\n" @@ -355,7 +355,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq $0, %%r10\n" /* extract m3 */ "movq %%r8, %q3\n" - "movq $0, %%r8\n" + "xorq %%r8, %%r8\n" /* (r9,r10,r8) += n3 * c1 */ "movq %9, %%rax\n" "mulq %%r14\n" @@ -387,8 +387,8 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "movq %q11, %%r13\n" /* Initialize (r8,r9,r10) */ "movq %q5, %%r8\n" - "movq $0, %%r9\n" - "movq $0, %%r10\n" + "xorq %%r9, %%r9\n" + "xorq %%r10, %%r10\n" /* (r8,r9) += m4 * c0 */ "movq %12, %%rax\n" "mulq %%r11\n" @@ -396,7 +396,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq %%rdx, %%r9\n" /* extract p0 */ "movq %%r8, %q0\n" - "movq $0, %%r8\n" + "xorq %%r8, %%r8\n" /* (r9,r10) += m1 */ "addq %q6, %%r9\n" "adcq $0, %%r10\n" @@ -414,7 +414,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq $0, %%r8\n" /* extract p1 */ "movq %%r9, %q1\n" - "movq $0, %%r9\n" + "xorq %%r9, %%r9\n" /* (r10,r8,r9) += m2 */ "addq %q7, %%r10\n" "adcq $0, %%r8\n" @@ -472,7 +472,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "movq %%rax, 0(%q6)\n" /* Move to (r8,r9) */ "movq %%rdx, %%r8\n" - "movq $0, %%r9\n" + "xorq %%r9, %%r9\n" /* (r8,r9) += p1 */ "addq %q2, %%r8\n" "adcq $0, %%r9\n" @@ -483,7 +483,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq %%rdx, %%r9\n" /* Extract r1 */ "movq %%r8, 8(%q6)\n" - "movq $0, %%r8\n" + "xorq %%r8, %%r8\n" /* (r9,r8) += p4 */ "addq %%r10, %%r9\n" "adcq $0, %%r8\n" @@ -492,7 +492,7 @@ static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) "adcq $0, %%r8\n" /* Extract r2 */ "movq %%r9, 16(%q6)\n" - "movq $0, %%r9\n" + "xorq %%r9, %%r9\n" /* (r8,r9) += p3 */ "addq %q4, %%r8\n" "adcq $0, %%r9\n" @@ -912,6 +912,7 @@ static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) secp256k1_scalar_reduce_512(r, l); } +#ifdef USE_ENDOMORPHISM static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { r1->d[0] = a->d[0]; r1->d[1] = a->d[1]; @@ -922,6 +923,7 @@ static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r r2->d[2] = 0; r2->d[3] = 0; } +#endif SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0; diff --git a/crypto/secp256k1/libsecp256k1/src/scalar_impl.h b/crypto/secp256k1/libsecp256k1/src/scalar_impl.h index 88ea97de8..f5b237640 100644 --- a/crypto/secp256k1/libsecp256k1/src/scalar_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/scalar_impl.h @@ -7,8 +7,6 @@ #ifndef _SECP256K1_SCALAR_IMPL_H_ #define _SECP256K1_SCALAR_IMPL_H_ -#include <string.h> - #include "group.h" #include "scalar.h" @@ -16,7 +14,9 @@ #include "libsecp256k1-config.h" #endif -#if defined(USE_SCALAR_4X64) +#if defined(EXHAUSTIVE_TEST_ORDER) +#include "scalar_low_impl.h" +#elif defined(USE_SCALAR_4X64) #include "scalar_4x64_impl.h" #elif defined(USE_SCALAR_8X32) #include "scalar_8x32_impl.h" @@ -33,17 +33,37 @@ static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a /** secp256k1 curve order, see secp256k1_ecdsa_const_order_as_fe in ecdsa_impl.h */ static void secp256k1_scalar_order_get_num(secp256k1_num *r) { +#if defined(EXHAUSTIVE_TEST_ORDER) + static const unsigned char order[32] = { + 0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,0, + 0,0,0,0,0,0,0,EXHAUSTIVE_TEST_ORDER + }; +#else static const unsigned char order[32] = { 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE, 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B, 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41 }; +#endif secp256k1_num_set_bin(r, order, 32); } #endif static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) { +#if defined(EXHAUSTIVE_TEST_ORDER) + int i; + *r = 0; + for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++) + if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1) + *r = i; + /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus + * have a composite group order; fix it in exhaustive_tests.c). */ + VERIFY_CHECK(*r != 0); +} +#else secp256k1_scalar *t; int i; /* First compute x ^ (2^N - 1) for some values of N. */ @@ -235,9 +255,9 @@ static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar } SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { - /* d[0] is present and is the lowest word for all representations */ return !(a->d[0] & 1); } +#endif static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { #if defined(USE_SCALAR_INV_BUILTIN) @@ -261,6 +281,18 @@ static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_sc } #ifdef USE_ENDOMORPHISM +#if defined(EXHAUSTIVE_TEST_ORDER) +/** + * Find k1 and k2 given k, such that k1 + k2 * lambda == k mod n; unlike in the + * full case we don't bother making k1 and k2 be small, we just want them to be + * nontrivial to get full test coverage for the exhaustive tests. We therefore + * (arbitrarily) set k2 = k + 5 and k1 = k - k2 * lambda. + */ +static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { + *r2 = (*a + 5) % EXHAUSTIVE_TEST_ORDER; + *r1 = (*a + (EXHAUSTIVE_TEST_ORDER - *r2) * EXHAUSTIVE_TEST_LAMBDA) % EXHAUSTIVE_TEST_ORDER; +} +#else /** * The Secp256k1 curve has an endomorphism, where lambda * (x, y) = (beta * x, y), where * lambda is {0x53,0x63,0xad,0x4c,0xc0,0x5c,0x30,0xe0,0xa5,0x26,0x1c,0x02,0x88,0x12,0x64,0x5a, @@ -333,5 +365,6 @@ static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar secp256k1_scalar_add(r1, r1, a); } #endif +#endif #endif diff --git a/crypto/secp256k1/libsecp256k1/src/scalar_low.h b/crypto/secp256k1/libsecp256k1/src/scalar_low.h new file mode 100644 index 000000000..5574c44c7 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/scalar_low.h @@ -0,0 +1,15 @@ +/********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_SCALAR_REPR_ +#define _SECP256K1_SCALAR_REPR_ + +#include <stdint.h> + +/** A scalar modulo the group order of the secp256k1 curve. */ +typedef uint32_t secp256k1_scalar; + +#endif diff --git a/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h b/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h new file mode 100644 index 000000000..4f94441f4 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h @@ -0,0 +1,114 @@ +/********************************************************************** + * Copyright (c) 2015 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef _SECP256K1_SCALAR_REPR_IMPL_H_ +#define _SECP256K1_SCALAR_REPR_IMPL_H_ + +#include "scalar.h" + +#include <string.h> + +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + return !(*a & 1); +} + +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { *r = 0; } +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { *r = v; } + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + if (offset < 32) + return ((*a >> offset) & ((((uint32_t)1) << count) - 1)); + else + return 0; +} + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + return secp256k1_scalar_get_bits(a, offset, count); +} + +SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { return *a >= EXHAUSTIVE_TEST_ORDER; } + +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + *r = (*a + *b) % EXHAUSTIVE_TEST_ORDER; + return *r < *b; +} + +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { + if (flag && bit < 32) + *r += (1 << bit); +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); +#endif +} + +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { + const int base = 0x100 % EXHAUSTIVE_TEST_ORDER; + int i; + *r = 0; + for (i = 0; i < 32; i++) { + *r = ((*r * base) + b32[i]) % EXHAUSTIVE_TEST_ORDER; + } + /* just deny overflow, it basically always happens */ + if (overflow) *overflow = 0; +} + +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { + memset(bin, 0, 32); + bin[28] = *a >> 24; bin[29] = *a >> 16; bin[30] = *a >> 8; bin[31] = *a; +} + +SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + return *a == 0; +} + +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { + if (*a == 0) { + *r = 0; + } else { + *r = EXHAUSTIVE_TEST_ORDER - *a; + } +} + +SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + return *a == 1; +} + +static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { + return *a > EXHAUSTIVE_TEST_ORDER / 2; +} + +static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) { + if (flag) secp256k1_scalar_negate(r, r); + return flag ? -1 : 1; +} + +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER; +} + +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { + int ret; + VERIFY_CHECK(n > 0); + VERIFY_CHECK(n < 16); + ret = *r & ((1 << n) - 1); + *r >>= n; + return ret; +} + +static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) { + *r = (*a * *a) % EXHAUSTIVE_TEST_ORDER; +} + +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) { + *r1 = *a; + *r2 = 0; +} + +SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + return *a == *b; +} + +#endif diff --git a/crypto/secp256k1/libsecp256k1/src/secp256k1.c b/crypto/secp256k1/libsecp256k1/src/secp256k1.c index 203f880af..fb8b882fa 100644..100755 --- a/crypto/secp256k1/libsecp256k1/src/secp256k1.c +++ b/crypto/secp256k1/libsecp256k1/src/secp256k1.c @@ -4,8 +4,6 @@ * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ -#define SECP256K1_BUILD (1) - #include "include/secp256k1.h" #include "util.h" @@ -62,13 +60,20 @@ secp256k1_context* secp256k1_context_create(unsigned int flags) { ret->illegal_callback = default_illegal_callback; ret->error_callback = default_error_callback; + if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) { + secp256k1_callback_call(&ret->illegal_callback, + "Invalid flags"); + free(ret); + return NULL; + } + secp256k1_ecmult_context_init(&ret->ecmult_ctx); secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx); - if (flags & SECP256K1_CONTEXT_SIGN) { + if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &ret->error_callback); } - if (flags & SECP256K1_CONTEXT_VERIFY) { + if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { secp256k1_ecmult_context_build(&ret->ecmult_ctx, &ret->error_callback); } @@ -145,9 +150,11 @@ static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) { int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pubkey, const unsigned char *input, size_t inputlen) { secp256k1_ge Q; - (void)ctx; + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(input != NULL); if (!secp256k1_eckey_pubkey_parse(&Q, input, inputlen)) { - memset(pubkey, 0, sizeof(*pubkey)); return 0; } secp256k1_pubkey_save(pubkey, &Q); @@ -157,10 +164,25 @@ int secp256k1_ec_pubkey_parse(const secp256k1_context* ctx, secp256k1_pubkey* pu int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_pubkey* pubkey, unsigned int flags) { secp256k1_ge Q; + size_t len; + int ret = 0; - (void)ctx; - return (secp256k1_pubkey_load(ctx, &Q, pubkey) && - secp256k1_eckey_pubkey_serialize(&Q, output, outputlen, flags)); + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(outputlen != NULL); + ARG_CHECK(*outputlen >= ((flags & SECP256K1_FLAGS_BIT_COMPRESSION) ? 33 : 65)); + len = *outputlen; + *outputlen = 0; + ARG_CHECK(output != NULL); + memset(output, 0, len); + ARG_CHECK(pubkey != NULL); + ARG_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_COMPRESSION); + if (secp256k1_pubkey_load(ctx, &Q, pubkey)) { + ret = secp256k1_eckey_pubkey_serialize(&Q, output, &len, flags & SECP256K1_FLAGS_BIT_COMPRESSION); + if (ret) { + *outputlen = len; + } + } + return ret; } static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) { @@ -190,7 +212,7 @@ static void secp256k1_ecdsa_signature_save(secp256k1_ecdsa_signature* sig, const int secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input, size_t inputlen) { secp256k1_scalar r, s; - (void)ctx; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(input != NULL); @@ -203,10 +225,31 @@ int secp256k1_ecdsa_signature_parse_der(const secp256k1_context* ctx, secp256k1_ } } +int secp256k1_ecdsa_signature_parse_compact(const secp256k1_context* ctx, secp256k1_ecdsa_signature* sig, const unsigned char *input64) { + secp256k1_scalar r, s; + int ret = 1; + int overflow = 0; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sig != NULL); + ARG_CHECK(input64 != NULL); + + secp256k1_scalar_set_b32(&r, &input64[0], &overflow); + ret &= !overflow; + secp256k1_scalar_set_b32(&s, &input64[32], &overflow); + ret &= !overflow; + if (ret) { + secp256k1_ecdsa_signature_save(sig, &r, &s); + } else { + memset(sig, 0, sizeof(*sig)); + } + return ret; +} + int secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_ecdsa_signature* sig) { secp256k1_scalar r, s; - (void)ctx; + VERIFY_CHECK(ctx != NULL); ARG_CHECK(output != NULL); ARG_CHECK(outputlen != NULL); ARG_CHECK(sig != NULL); @@ -215,6 +258,38 @@ int secp256k1_ecdsa_signature_serialize_der(const secp256k1_context* ctx, unsign return secp256k1_ecdsa_sig_serialize(output, outputlen, &r, &s); } +int secp256k1_ecdsa_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, const secp256k1_ecdsa_signature* sig) { + secp256k1_scalar r, s; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(output64 != NULL); + ARG_CHECK(sig != NULL); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); + secp256k1_scalar_get_b32(&output64[0], &r); + secp256k1_scalar_get_b32(&output64[32], &s); + return 1; +} + +int secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_ecdsa_signature *sigout, const secp256k1_ecdsa_signature *sigin) { + secp256k1_scalar r, s; + int ret = 0; + + VERIFY_CHECK(ctx != NULL); + ARG_CHECK(sigin != NULL); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, sigin); + ret = secp256k1_scalar_is_high(&s); + if (sigout != NULL) { + if (ret) { + secp256k1_scalar_negate(&s, &s); + } + secp256k1_ecdsa_signature_save(sigout, &r, &s); + } + + return ret; +} + int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msg32, const secp256k1_pubkey *pubkey) { secp256k1_ge q; secp256k1_scalar r, s; @@ -227,7 +302,8 @@ int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_s secp256k1_scalar_set_b32(&m, msg32, NULL); secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); - return (secp256k1_pubkey_load(ctx, &q, pubkey) && + return (!secp256k1_scalar_is_high(&s) && + secp256k1_pubkey_load(ctx, &q, pubkey) && secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m)); } @@ -239,8 +315,10 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m /* We feed a byte array to the PRNG as input, consisting of: * - the private key (32 bytes) and message (32 bytes), see RFC 6979 3.2d. * - optionally 32 extra bytes of data, see RFC 6979 3.6 Additional Data. - * - optionally 16 extra bytes with the algorithm name (the extra data bytes - * are set to zeroes when not present, while the algorithm name is). + * - optionally 16 extra bytes with the algorithm name. + * Because the arguments have distinct fixed lengths it is not possible for + * different argument mixtures to emulate each other and result in the same + * nonces. */ memcpy(keydata, key32, 32); memcpy(keydata + 32, msg32, 32); @@ -249,9 +327,8 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m keylen = 96; } if (algo16 != NULL) { - memset(keydata + keylen, 0, 96 - keylen); - memcpy(keydata + 96, algo16, 16); - keylen = 112; + memcpy(keydata + keylen, algo16, 16); + keylen += 16; } secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, keylen); memset(keydata, 0, sizeof(keydata)); @@ -282,16 +359,15 @@ int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature secp256k1_scalar_set_b32(&sec, seckey, &overflow); /* Fail if the secret key is invalid. */ if (!overflow && !secp256k1_scalar_is_zero(&sec)) { + unsigned char nonce32[32]; unsigned int count = 0; secp256k1_scalar_set_b32(&msg, msg32, NULL); while (1) { - unsigned char nonce32[32]; ret = noncefp(nonce32, msg32, seckey, NULL, (void*)noncedata, count); if (!ret) { break; } secp256k1_scalar_set_b32(&non, nonce32, &overflow); - memset(nonce32, 0, 32); if (!overflow && !secp256k1_scalar_is_zero(&non)) { if (secp256k1_ecdsa_sig_sign(&ctx->ecmult_gen_ctx, &r, &s, &sec, &msg, &non, NULL)) { break; @@ -299,6 +375,7 @@ int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature } count++; } + memset(nonce32, 0, 32); secp256k1_scalar_clear(&msg); secp256k1_scalar_clear(&non); secp256k1_scalar_clear(&sec); @@ -317,7 +394,6 @@ int secp256k1_ec_seckey_verify(const secp256k1_context* ctx, const unsigned char int overflow; VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); - (void)ctx; secp256k1_scalar_set_b32(&sec, seckey, &overflow); ret = !overflow && !secp256k1_scalar_is_zero(&sec); @@ -332,19 +408,19 @@ int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *p int overflow; int ret = 0; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); ARG_CHECK(seckey != NULL); secp256k1_scalar_set_b32(&sec, seckey, &overflow); ret = (!overflow) & (!secp256k1_scalar_is_zero(&sec)); - secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pj, &sec); - secp256k1_ge_set_gej(&p, &pj); - secp256k1_pubkey_save(pubkey, &p); - secp256k1_scalar_clear(&sec); - if (!ret) { - memset(pubkey, 0, sizeof(*pubkey)); + if (ret) { + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pj, &sec); + secp256k1_ge_set_gej(&p, &pj); + secp256k1_pubkey_save(pubkey, &p); } + secp256k1_scalar_clear(&sec); return ret; } @@ -356,12 +432,12 @@ int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char * VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); ARG_CHECK(tweak != NULL); - (void)ctx; secp256k1_scalar_set_b32(&term, tweak, &overflow); secp256k1_scalar_set_b32(&sec, seckey, NULL); ret = !overflow && secp256k1_eckey_privkey_tweak_add(&sec, &term); + memset(seckey, 0, 32); if (ret) { secp256k1_scalar_get_b32(seckey, &sec); } @@ -382,12 +458,13 @@ int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey ARG_CHECK(tweak != NULL); secp256k1_scalar_set_b32(&term, tweak, &overflow); - if (!overflow && secp256k1_pubkey_load(ctx, &p, pubkey)) { - ret = secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term); - if (ret) { + ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); + memset(pubkey, 0, sizeof(*pubkey)); + if (ret) { + if (secp256k1_eckey_pubkey_tweak_add(&ctx->ecmult_ctx, &p, &term)) { secp256k1_pubkey_save(pubkey, &p); } else { - memset(pubkey, 0, sizeof(*pubkey)); + ret = 0; } } @@ -402,11 +479,11 @@ int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char * VERIFY_CHECK(ctx != NULL); ARG_CHECK(seckey != NULL); ARG_CHECK(tweak != NULL); - (void)ctx; secp256k1_scalar_set_b32(&factor, tweak, &overflow); secp256k1_scalar_set_b32(&sec, seckey, NULL); ret = !overflow && secp256k1_eckey_privkey_tweak_mul(&sec, &factor); + memset(seckey, 0, 32); if (ret) { secp256k1_scalar_get_b32(seckey, &sec); } @@ -427,48 +504,19 @@ int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey ARG_CHECK(tweak != NULL); secp256k1_scalar_set_b32(&factor, tweak, &overflow); - if (!overflow && secp256k1_pubkey_load(ctx, &p, pubkey)) { - ret = secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor); - if (ret) { + ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); + memset(pubkey, 0, sizeof(*pubkey)); + if (ret) { + if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) { secp256k1_pubkey_save(pubkey, &p); } else { - memset(pubkey, 0, sizeof(*pubkey)); + ret = 0; } } return ret; } -int secp256k1_ec_privkey_export(const secp256k1_context* ctx, unsigned char *privkey, size_t *privkeylen, const unsigned char *seckey, unsigned int flags) { - secp256k1_scalar key; - int ret = 0; - VERIFY_CHECK(ctx != NULL); - ARG_CHECK(seckey != NULL); - ARG_CHECK(privkey != NULL); - ARG_CHECK(privkeylen != NULL); - ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); - - secp256k1_scalar_set_b32(&key, seckey, NULL); - ret = secp256k1_eckey_privkey_serialize(&ctx->ecmult_gen_ctx, privkey, privkeylen, &key, flags); - secp256k1_scalar_clear(&key); - return ret; -} - -int secp256k1_ec_privkey_import(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *privkey, size_t privkeylen) { - secp256k1_scalar key; - int ret = 0; - ARG_CHECK(seckey != NULL); - ARG_CHECK(privkey != NULL); - (void)ctx; - - ret = secp256k1_eckey_privkey_parse(&key, privkey, privkeylen); - if (ret) { - secp256k1_scalar_get_b32(seckey, &key); - } - secp256k1_scalar_clear(&key); - return ret; -} - int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) { VERIFY_CHECK(ctx != NULL); ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); @@ -476,12 +524,13 @@ int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *see return 1; } -int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, const secp256k1_pubkey * const *pubnonces, int n) { - int i; +int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *pubnonce, const secp256k1_pubkey * const *pubnonces, size_t n) { + size_t i; secp256k1_gej Qj; secp256k1_ge Q; ARG_CHECK(pubnonce != NULL); + memset(pubnonce, 0, sizeof(*pubnonce)); ARG_CHECK(n >= 1); ARG_CHECK(pubnonces != NULL); @@ -492,7 +541,6 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey * secp256k1_gej_add_ge(&Qj, &Qj, &Q); } if (secp256k1_gej_is_infinity(&Qj)) { - memset(pubnonce, 0, sizeof(*pubnonce)); return 0; } secp256k1_ge_set_gej(&Q, &Qj); diff --git a/crypto/secp256k1/libsecp256k1/src/testrand.h b/crypto/secp256k1/libsecp256k1/src/testrand.h index 041bb92c4..f8efa93c7 100644 --- a/crypto/secp256k1/libsecp256k1/src/testrand.h +++ b/crypto/secp256k1/libsecp256k1/src/testrand.h @@ -16,13 +16,23 @@ /** Seed the pseudorandom number generator for testing. */ SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16); -/** Generate a pseudorandom 32-bit number. */ +/** Generate a pseudorandom number in the range [0..2**32-1]. */ static uint32_t secp256k1_rand32(void); +/** Generate a pseudorandom number in the range [0..2**bits-1]. Bits must be 1 or + * more. */ +static uint32_t secp256k1_rand_bits(int bits); + +/** Generate a pseudorandom number in the range [0..range-1]. */ +static uint32_t secp256k1_rand_int(uint32_t range); + /** Generate a pseudorandom 32-byte array. */ static void secp256k1_rand256(unsigned char *b32); /** Generate a pseudorandom 32-byte array with long sequences of zero and one bits. */ static void secp256k1_rand256_test(unsigned char *b32); +/** Generate pseudorandom bytes with long sequences of zero and one bits. */ +static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len); + #endif diff --git a/crypto/secp256k1/libsecp256k1/src/testrand_impl.h b/crypto/secp256k1/libsecp256k1/src/testrand_impl.h index 7c3554266..15c7b9f12 100644 --- a/crypto/secp256k1/libsecp256k1/src/testrand_impl.h +++ b/crypto/secp256k1/libsecp256k1/src/testrand_impl.h @@ -1,5 +1,5 @@ /********************************************************************** - * Copyright (c) 2013, 2014 Pieter Wuille * + * Copyright (c) 2013-2015 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ @@ -16,6 +16,8 @@ static secp256k1_rfc6979_hmac_sha256_t secp256k1_test_rng; static uint32_t secp256k1_test_rng_precomputed[8]; static int secp256k1_test_rng_precomputed_used = 8; +static uint64_t secp256k1_test_rng_integer; +static int secp256k1_test_rng_integer_bits_left = 0; SECP256K1_INLINE static void secp256k1_rand_seed(const unsigned char *seed16) { secp256k1_rfc6979_hmac_sha256_initialize(&secp256k1_test_rng, seed16, 16); @@ -29,32 +31,80 @@ SECP256K1_INLINE static uint32_t secp256k1_rand32(void) { return secp256k1_test_rng_precomputed[secp256k1_test_rng_precomputed_used++]; } +static uint32_t secp256k1_rand_bits(int bits) { + uint32_t ret; + if (secp256k1_test_rng_integer_bits_left < bits) { + secp256k1_test_rng_integer |= (((uint64_t)secp256k1_rand32()) << secp256k1_test_rng_integer_bits_left); + secp256k1_test_rng_integer_bits_left += 32; + } + ret = secp256k1_test_rng_integer; + secp256k1_test_rng_integer >>= bits; + secp256k1_test_rng_integer_bits_left -= bits; + ret &= ((~((uint32_t)0)) >> (32 - bits)); + return ret; +} + +static uint32_t secp256k1_rand_int(uint32_t range) { + /* We want a uniform integer between 0 and range-1, inclusive. + * B is the smallest number such that range <= 2**B. + * two mechanisms implemented here: + * - generate B bits numbers until one below range is found, and return it + * - find the largest multiple M of range that is <= 2**(B+A), generate B+A + * bits numbers until one below M is found, and return it modulo range + * The second mechanism consumes A more bits of entropy in every iteration, + * but may need fewer iterations due to M being closer to 2**(B+A) then + * range is to 2**B. The array below (indexed by B) contains a 0 when the + * first mechanism is to be used, and the number A otherwise. + */ + static const int addbits[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0}; + uint32_t trange, mult; + int bits = 0; + if (range <= 1) { + return 0; + } + trange = range - 1; + while (trange > 0) { + trange >>= 1; + bits++; + } + if (addbits[bits]) { + bits = bits + addbits[bits]; + mult = ((~((uint32_t)0)) >> (32 - bits)) / range; + trange = range * mult; + } else { + trange = range; + mult = 1; + } + while(1) { + uint32_t x = secp256k1_rand_bits(bits); + if (x < trange) { + return (mult == 1) ? x : (x % range); + } + } +} + static void secp256k1_rand256(unsigned char *b32) { secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, b32, 32); } -static void secp256k1_rand256_test(unsigned char *b32) { - int bits=0; - uint64_t ent = 0; - int entleft = 0; - memset(b32, 0, 32); - while (bits < 256) { +static void secp256k1_rand_bytes_test(unsigned char *bytes, size_t len) { + size_t bits = 0; + memset(bytes, 0, len); + while (bits < len * 8) { int now; uint32_t val; - if (entleft < 12) { - ent |= ((uint64_t)secp256k1_rand32()) << entleft; - entleft += 32; - } - now = 1 + ((ent % 64)*((ent >> 6) % 32)+16)/31; - val = 1 & (ent >> 11); - ent >>= 12; - entleft -= 12; - while (now > 0 && bits < 256) { - b32[bits / 8] |= val << (bits % 8); + now = 1 + (secp256k1_rand_bits(6) * secp256k1_rand_bits(5) + 16) / 31; + val = secp256k1_rand_bits(1); + while (now > 0 && bits < len * 8) { + bytes[bits / 8] |= val << (bits % 8); now--; bits++; } } } +static void secp256k1_rand256_test(unsigned char *b32) { + secp256k1_rand_bytes_test(b32, 32); +} + #endif diff --git a/crypto/secp256k1/libsecp256k1/src/tests.c b/crypto/secp256k1/libsecp256k1/src/tests.c index 3366d90fc..9ae7d3028 100644 --- a/crypto/secp256k1/libsecp256k1/src/tests.c +++ b/crypto/secp256k1/libsecp256k1/src/tests.c @@ -13,8 +13,8 @@ #include <time.h> -#include "include/secp256k1.h" #include "secp256k1.c" +#include "include/secp256k1.h" #include "testrand_impl.h" #ifdef ENABLE_OPENSSL_TESTS @@ -24,9 +24,39 @@ #include "openssl/obj_mac.h" #endif +#include "contrib/lax_der_parsing.c" +#include "contrib/lax_der_privatekey_parsing.c" + +#if !defined(VG_CHECK) +# if defined(VALGRIND) +# include <valgrind/memcheck.h> +# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y)) +# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y)) +# else +# define VG_UNDEF(x,y) +# define VG_CHECK(x,y) +# endif +#endif + static int count = 64; static secp256k1_context *ctx = NULL; +static void counting_illegal_callback_fn(const char* str, void* data) { + /* Dummy callback function that just counts. */ + int32_t *p; + (void)str; + p = data; + (*p)++; +} + +static void uncounting_illegal_callback_fn(const char* str, void* data) { + /* Dummy callback function that just counts (backwards). */ + int32_t *p; + (void)str; + p = data; + (*p)--; +} + void random_field_element_test(secp256k1_fe *fe) { do { unsigned char b32[32]; @@ -39,7 +69,7 @@ void random_field_element_test(secp256k1_fe *fe) { void random_field_element_magnitude(secp256k1_fe *fe) { secp256k1_fe zero; - int n = secp256k1_rand32() % 9; + int n = secp256k1_rand_int(9); secp256k1_fe_normalize(fe); if (n == 0) { return; @@ -55,7 +85,7 @@ void random_group_element_test(secp256k1_ge *ge) { secp256k1_fe fe; do { random_field_element_test(&fe); - if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand32() & 1)) { + if (secp256k1_ge_set_xo_var(ge, &fe, secp256k1_rand_bits(1))) { secp256k1_fe_normalize(&ge->y); break; } @@ -104,7 +134,12 @@ void random_scalar_order(secp256k1_scalar *num) { } void run_context_tests(void) { - secp256k1_context *none = secp256k1_context_create(0); + secp256k1_pubkey pubkey; + secp256k1_ecdsa_signature sig; + unsigned char ctmp[32]; + int32_t ecount; + int32_t ecount2; + 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); @@ -114,6 +149,13 @@ void run_context_tests(void) { secp256k1_scalar msg, key, nonce; secp256k1_scalar sigr, sigs; + ecount = 0; + ecount2 = 10; + secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount); + secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2); + secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, NULL); + CHECK(vrfy->error_callback.fn != sign->error_callback.fn); + /*** clone and destroy all of them to make sure cloning was complete ***/ { secp256k1_context *ctx_tmp; @@ -124,12 +166,54 @@ void run_context_tests(void) { ctx_tmp = both; both = secp256k1_context_clone(both); secp256k1_context_destroy(ctx_tmp); } + /* Verify that the error callback makes it across the clone. */ + CHECK(vrfy->error_callback.fn != sign->error_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); + /*** attempt to use them ***/ random_scalar_order_test(&msg); random_scalar_order_test(&key); secp256k1_ecmult_gen(&both->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); + /* Verify context-type checking illegal-argument errors. */ + memset(ctmp, 1, 32); + CHECK(secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0); + CHECK(ecount == 1); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ecdsa_sign(vrfy, &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); + VG_CHECK(&sig, sizeof(sig)); + CHECK(ecount2 == 10); + CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0); + CHECK(ecount2 == 11); + CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0); + CHECK(ecount2 == 12); + CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0); + CHECK(ecount2 == 13); + CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1); + CHECK(ecount == 2); + CHECK(secp256k1_context_randomize(vrfy, ctmp) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_context_randomize(sign, NULL) == 1); + CHECK(ecount2 == 13); + secp256k1_context_set_illegal_callback(vrfy, NULL, NULL); + secp256k1_context_set_illegal_callback(sign, NULL, NULL); + + /* This shouldn't leak memory, due to already-set tests. */ + secp256k1_ecmult_gen_context_build(&sign->ecmult_gen_ctx, NULL); + secp256k1_ecmult_context_build(&vrfy->ecmult_ctx, NULL); + /* obtain a working nonce */ do { random_scalar_order_test(&nonce); @@ -148,6 +232,8 @@ void run_context_tests(void) { secp256k1_context_destroy(sign); secp256k1_context_destroy(vrfy); secp256k1_context_destroy(both); + /* Defined as no-op. */ + secp256k1_context_destroy(NULL); } /***** HASH TESTS *****/ @@ -178,7 +264,7 @@ void run_sha256_tests(void) { secp256k1_sha256_finalize(&hasher, out); CHECK(memcmp(out, outputs[i], 32) == 0); if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand32() % strlen(inputs[i]); + int split = secp256k1_rand_int(strlen(inputs[i])); secp256k1_sha256_initialize(&hasher); secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); @@ -222,7 +308,7 @@ void run_hmac_sha256_tests(void) { secp256k1_hmac_sha256_finalize(&hasher, out); CHECK(memcmp(out, outputs[i], 32) == 0); if (strlen(inputs[i]) > 0) { - int split = secp256k1_rand32() % strlen(inputs[i]); + int split = secp256k1_rand_int(strlen(inputs[i])); secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i])); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), split); secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i] + split), strlen(inputs[i]) - split); @@ -273,11 +359,83 @@ void run_rfc6979_hmac_sha256_tests(void) { secp256k1_rfc6979_hmac_sha256_finalize(&rng); } +/***** RANDOM TESTS *****/ + +void test_rand_bits(int rand32, int bits) { + /* (1-1/2^B)^rounds[B] < 1/10^9, so rounds is the number of iterations to + * get a false negative chance below once in a billion */ + static const unsigned int rounds[7] = {1, 30, 73, 156, 322, 653, 1316}; + /* We try multiplying the results with various odd numbers, which shouldn't + * influence the uniform distribution modulo a power of 2. */ + static const uint32_t mults[6] = {1, 3, 21, 289, 0x9999, 0x80402011}; + /* We only select up to 6 bits from the output to analyse */ + unsigned int usebits = bits > 6 ? 6 : bits; + unsigned int maxshift = bits - usebits; + /* For each of the maxshift+1 usebits-bit sequences inside a bits-bit + number, track all observed outcomes, one per bit in a uint64_t. */ + uint64_t x[6][27] = {{0}}; + unsigned int i, shift, m; + /* Multiply the output of all rand calls with the odd number m, which + should not change the uniformity of its distribution. */ + for (i = 0; i < rounds[usebits]; i++) { + uint32_t r = (rand32 ? secp256k1_rand32() : secp256k1_rand_bits(bits)); + CHECK((((uint64_t)r) >> bits) == 0); + for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { + uint32_t rm = r * mults[m]; + for (shift = 0; shift <= maxshift; shift++) { + x[m][shift] |= (((uint64_t)1) << ((rm >> shift) & ((1 << usebits) - 1))); + } + } + } + for (m = 0; m < sizeof(mults) / sizeof(mults[0]); m++) { + for (shift = 0; shift <= maxshift; shift++) { + /* Test that the lower usebits bits of x[shift] are 1 */ + CHECK(((~x[m][shift]) << (64 - (1 << usebits))) == 0); + } + } +} + +/* Subrange must be a whole divisor of range, and at most 64 */ +void test_rand_int(uint32_t range, uint32_t subrange) { + /* (1-1/subrange)^rounds < 1/10^9 */ + int rounds = (subrange * 2073) / 100; + int i; + uint64_t x = 0; + CHECK((range % subrange) == 0); + for (i = 0; i < rounds; i++) { + uint32_t r = secp256k1_rand_int(range); + CHECK(r < range); + r = r % subrange; + x |= (((uint64_t)1) << r); + } + /* Test that the lower subrange bits of x are 1. */ + CHECK(((~x) << (64 - subrange)) == 0); +} + +void run_rand_bits(void) { + size_t b; + test_rand_bits(1, 32); + for (b = 1; b <= 32; b++) { + test_rand_bits(0, b); + } +} + +void run_rand_int(void) { + static const uint32_t ms[] = {1, 3, 17, 1000, 13771, 999999, 33554432}; + static const uint32_t ss[] = {1, 3, 6, 9, 13, 31, 64}; + unsigned int m, s; + for (m = 0; m < sizeof(ms) / sizeof(ms[0]); m++) { + for (s = 0; s < sizeof(ss) / sizeof(ss[0]); s++) { + test_rand_int(ms[m] * ss[s], ss[s]); + } + } +} + /***** NUM TESTS *****/ #ifndef USE_NUM_NONE void random_num_negate(secp256k1_num *num) { - if (secp256k1_rand32() & 1) { + if (secp256k1_rand_bits(1)) { secp256k1_num_negate(num); } } @@ -315,16 +473,17 @@ void test_num_negate(void) { } void test_num_add_sub(void) { + int i; + secp256k1_scalar s; secp256k1_num n1; secp256k1_num n2; secp256k1_num n1p2, n2p1, n1m2, n2m1; - int r = secp256k1_rand32(); random_num_order_test(&n1); /* n1 = R1 */ - if (r & 1) { + if (secp256k1_rand_bits(1)) { random_num_negate(&n1); } random_num_order_test(&n2); /* n2 = R2 */ - if (r & 2) { + if (secp256k1_rand_bits(1)) { random_num_negate(&n2); } secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */ @@ -341,6 +500,110 @@ void test_num_add_sub(void) { CHECK(!secp256k1_num_eq(&n2p1, &n1)); secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */ CHECK(secp256k1_num_eq(&n2p1, &n1)); + + /* check is_one */ + secp256k1_scalar_set_int(&s, 1); + secp256k1_scalar_get_num(&n1, &s); + CHECK(secp256k1_num_is_one(&n1)); + /* check that 2^n + 1 is never 1 */ + secp256k1_scalar_get_num(&n2, &s); + for (i = 0; i < 250; ++i) { + secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */ + secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */ + CHECK(!secp256k1_num_is_one(&n1p2)); + } +} + +void test_num_mod(void) { + int i; + secp256k1_scalar s; + secp256k1_num order, n; + + /* check that 0 mod anything is 0 */ + random_scalar_order_test(&s); + secp256k1_scalar_get_num(&order, &s); + secp256k1_scalar_set_int(&s, 0); + secp256k1_scalar_get_num(&n, &s); + secp256k1_num_mod(&n, &order); + CHECK(secp256k1_num_is_zero(&n)); + + /* check that anything mod 1 is 0 */ + secp256k1_scalar_set_int(&s, 1); + secp256k1_scalar_get_num(&order, &s); + secp256k1_scalar_get_num(&n, &s); + secp256k1_num_mod(&n, &order); + CHECK(secp256k1_num_is_zero(&n)); + + /* check that increasing the number past 2^256 does not break this */ + random_scalar_order_test(&s); + secp256k1_scalar_get_num(&n, &s); + /* multiply by 2^8, which'll test this case with high probability */ + for (i = 0; i < 8; ++i) { + secp256k1_num_add(&n, &n, &n); + } + secp256k1_num_mod(&n, &order); + CHECK(secp256k1_num_is_zero(&n)); +} + +void test_num_jacobi(void) { + secp256k1_scalar sqr; + secp256k1_scalar small; + secp256k1_scalar five; /* five is not a quadratic residue */ + secp256k1_num order, n; + int i; + /* squares mod 5 are 1, 4 */ + const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 }; + + /* check some small values with 5 as the order */ + secp256k1_scalar_set_int(&five, 5); + secp256k1_scalar_get_num(&order, &five); + for (i = 0; i < 10; ++i) { + secp256k1_scalar_set_int(&small, i); + secp256k1_scalar_get_num(&n, &small); + CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]); + } + + /** test large values with 5 as group order */ + secp256k1_scalar_get_num(&order, &five); + /* we first need a scalar which is not a multiple of 5 */ + do { + secp256k1_num fiven; + random_scalar_order_test(&sqr); + secp256k1_scalar_get_num(&fiven, &five); + secp256k1_scalar_get_num(&n, &sqr); + secp256k1_num_mod(&n, &fiven); + } while (secp256k1_num_is_zero(&n)); + /* next force it to be a residue. 2 is a nonresidue mod 5 so we can + * just multiply by two, i.e. add the number to itself */ + if (secp256k1_num_jacobi(&n, &order) == -1) { + secp256k1_num_add(&n, &n, &n); + } + + /* test residue */ + CHECK(secp256k1_num_jacobi(&n, &order) == 1); + /* test nonresidue */ + secp256k1_num_add(&n, &n, &n); + CHECK(secp256k1_num_jacobi(&n, &order) == -1); + + /** test with secp group order as order */ + secp256k1_scalar_order_get_num(&order); + random_scalar_order_test(&sqr); + secp256k1_scalar_sqr(&sqr, &sqr); + /* test residue */ + secp256k1_scalar_get_num(&n, &sqr); + CHECK(secp256k1_num_jacobi(&n, &order) == 1); + /* test nonresidue */ + secp256k1_scalar_mul(&sqr, &sqr, &five); + secp256k1_scalar_get_num(&n, &sqr); + CHECK(secp256k1_num_jacobi(&n, &order) == -1); + /* test multiple of the order*/ + CHECK(secp256k1_num_jacobi(&order, &order) == 0); + + /* check one less than the order */ + secp256k1_scalar_set_int(&small, 1); + secp256k1_scalar_get_num(&n, &small); + secp256k1_num_sub(&n, &order, &n); + CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */ } void run_num_smalltests(void) { @@ -348,6 +611,8 @@ void run_num_smalltests(void) { for (i = 0; i < 100*count; i++) { test_num_negate(); test_num_add_sub(); + test_num_mod(); + test_num_jacobi(); } } #endif @@ -409,7 +674,7 @@ void scalar_test(void) { while (i < 256) { secp256k1_scalar t; int j; - int now = (secp256k1_rand32() % 15) + 1; + int now = secp256k1_rand_int(15) + 1; if (now + i > 256) { now = 256 - i; } @@ -437,7 +702,7 @@ void scalar_test(void) { } { - /* Test that multipying the scalars is equal to multiplying their numbers modulo the order. */ + /* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */ secp256k1_scalar r; secp256k1_num r2num; secp256k1_num rnum; @@ -486,7 +751,7 @@ void scalar_test(void) { secp256k1_num rnum; secp256k1_num rnum2; unsigned char cone[1] = {0x01}; - unsigned int shift = 256 + (secp256k1_rand32() % 257); + unsigned int shift = 256 + secp256k1_rand_int(257); secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift); secp256k1_num_mul(&rnum, &s1num, &s2num); secp256k1_num_shift(&rnum, shift - 1); @@ -504,7 +769,7 @@ void scalar_test(void) { random_scalar_order_test(&r); for (i = 0; i < 100; ++i) { int low; - int shift = 1 + (secp256k1_rand32() % 15); + int shift = 1 + secp256k1_rand_int(15); int expected = r.d[0] % (1 << shift); low = secp256k1_scalar_shr_int(&r, shift); CHECK(expected == low); @@ -532,6 +797,10 @@ void scalar_test(void) { secp256k1_scalar_inverse(&inv, &inv); /* Inverting one must result in one. */ CHECK(secp256k1_scalar_is_one(&inv)); +#ifndef USE_NUM_NONE + secp256k1_scalar_get_num(&invnum, &inv); + CHECK(secp256k1_num_is_one(&invnum)); +#endif } } @@ -548,7 +817,7 @@ void scalar_test(void) { secp256k1_scalar b; int i; /* Test add_bit. */ - int bit = secp256k1_rand32() % 256; + int bit = secp256k1_rand_bits(8); secp256k1_scalar_set_int(&b, 1); CHECK(secp256k1_scalar_is_one(&b)); for (i = 0; i < bit; i++) { @@ -671,6 +940,600 @@ void run_scalar_tests(void) { CHECK(secp256k1_scalar_is_zero(&zero)); } #endif + + { + /* Does check_overflow check catch all ones? */ + static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL + ); + CHECK(secp256k1_scalar_check_overflow(&overflowed)); + } + + { + /* Static test vectors. + * These were reduced from ~10^12 random vectors based on comparison-decision + * and edge-case coverage on 32-bit and 64-bit implementations. + * The responses were generated with Sage 5.9. + */ + secp256k1_scalar x; + secp256k1_scalar y; + secp256k1_scalar z; + secp256k1_scalar zz; + secp256k1_scalar one; + secp256k1_scalar r1; + secp256k1_scalar r2; +#if defined(USE_SCALAR_INV_NUM) + secp256k1_scalar zzv; +#endif + int overflow; + unsigned char chal[33][2][32] = { + {{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, + 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, + 0xff, 0xff, 0x03, 0x00, 0xc0, 0xff, 0xff, 0xff}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff}}, + {{0xef, 0xff, 0x1f, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, + {0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, + 0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x80, 0xff}}, + {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x06, 0x00, 0x00, + 0x80, 0x00, 0x00, 0x80, 0xff, 0x3f, 0x00, 0x00, + 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0x00}, + {0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, 0x00, 0xe0, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x00, 0x1e, 0xf8, 0xff, 0xff, 0xff, 0xfd, 0xff}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, + 0x00, 0x00, 0x00, 0xf8, 0xff, 0x03, 0x00, 0xe0, + 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0xf0, 0xff, + 0xf3, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00, + 0x00, 0x1c, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff, 0x00, + 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, + 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x1f, 0x00, 0x00, 0x80, 0xff, 0xff, 0x3f, + 0x00, 0xfe, 0xff, 0xff, 0xff, 0xdf, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0xff, 0x00, 0x0f, 0xfc, 0x9f, + 0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0x0f, 0xfc, 0xff, 0x7f, 0x00, 0x00, 0x00, + 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, + {0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + 0x00, 0x00, 0xf8, 0xff, 0x0f, 0xc0, 0xff, 0xff, + 0xff, 0x1f, 0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, + 0xff, 0xff, 0xff, 0x07, 0x80, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, + 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, + 0xf7, 0xff, 0xff, 0xef, 0xff, 0xff, 0xff, 0x00, + 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0xf0}, + {0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, + {{0x00, 0xf8, 0xff, 0x03, 0xff, 0xff, 0xff, 0x00, + 0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x03, 0xc0, 0xff, 0x0f, 0xfc, 0xff}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xe0, 0xff, 0xff, + 0xff, 0x01, 0x00, 0x00, 0x00, 0x3f, 0x00, 0xc0, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, + {{0x8f, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x7f, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x03, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0x00, 0x00, 0x80, 0xff, 0x7f}, + {0xff, 0xcf, 0xff, 0xff, 0x01, 0x00, 0x00, 0x00, + 0x00, 0xc0, 0xff, 0xcf, 0xff, 0xff, 0xff, 0xff, + 0xbf, 0xff, 0x0e, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x80, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff, + 0xff, 0xff, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0x01, 0xfc, 0xff, 0x01, 0x00, 0xfe, 0xff}, + {0xff, 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xc0, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00}}, + {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0x7f, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0xf8, 0xff, 0x01, 0x00, 0xf0, 0xff, 0xff, + 0xe0, 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, 0x00}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0xfc, 0xff, 0xff, 0x3f, 0xf0, 0xff, 0xff, 0x3f, + 0x00, 0x00, 0xf8, 0x07, 0x00, 0x00, 0x00, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x0f, 0x7e, 0x00, 0x00}}, + {{0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x1f, 0x00, 0x00, 0xfe, 0x07, 0x00}, + {0x00, 0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfb, 0xff, 0x07, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x60}}, + {{0xff, 0x01, 0x00, 0xff, 0xff, 0xff, 0x0f, 0x00, + 0x80, 0x7f, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x03, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, + {0xff, 0xff, 0x1f, 0x00, 0xf0, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x00, 0x00}}, + {{0x80, 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}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xf1, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, + 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x7e, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xc0, 0xff, 0xff, 0xcf, 0xff, 0x1f, 0x00, 0x00, + 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x7e, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7c, 0x00}, + {0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + 0xff, 0xff, 0x7f, 0x00, 0x80, 0x00, 0x00, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x00, 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, + {0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x3f, 0x00, 0x00, 0x80, + 0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0x7f, 0xf8, 0xff, 0xff, 0x1f, 0x00, 0xfe}}, + {{0xff, 0xff, 0xff, 0x3f, 0xf8, 0xff, 0xff, 0xff, + 0xff, 0x03, 0xfe, 0x01, 0x00, 0x00, 0x00, 0x00, + 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0x01, 0x80, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, + {0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0xc0, + 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, 0x00, + 0xf0, 0xff, 0xff, 0xff, 0xff, 0x07, 0x00, 0x00, + 0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x01, 0xff, 0xff, 0xff}}, + {{0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0x7e, 0x00, 0x00, 0xc0, 0xff, 0xff, 0x07, 0x00, + 0x80, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, + 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, + {0xff, 0x01, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}, + {{0xff, 0xff, 0xf0, 0xff, 0xff, 0xff, 0xff, 0x00, + 0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x00, 0xe0, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, + 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0xe0, 0xff, 0xff, + 0xff, 0xff, 0x3f, 0x00, 0xf8, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0x3f, 0x00, 0x00, 0xc0, 0xf1, 0x7f, 0x00}}, + {{0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0xc0, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x80, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0x00}, + {0x00, 0xf8, 0xff, 0xff, 0xff, 0xff, 0xff, 0x01, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, + 0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0x80, 0x1f, + 0x00, 0x00, 0xfc, 0xff, 0xff, 0x01, 0xff, 0xff}}, + {{0x00, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x80, 0x00, 0x00, 0x80, 0xff, 0x03, 0xe0, 0x01, + 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0xfc, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00}, + {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, + 0xfe, 0xff, 0xff, 0xf0, 0x07, 0x00, 0x3c, 0x80, + 0xff, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x07, 0xe0, 0xff, 0x00, 0x00, 0x00}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, + 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x07, 0xf8, + 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80}, + {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x0c, 0x80, 0x00, + 0x00, 0x00, 0x00, 0xc0, 0x7f, 0xfe, 0xff, 0x1f, + 0x00, 0xfe, 0xff, 0x03, 0x00, 0x00, 0xfe, 0xff}}, + {{0xff, 0xff, 0x81, 0xff, 0xff, 0xff, 0xff, 0x00, + 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x83, + 0xff, 0xff, 0x00, 0x00, 0x80, 0x00, 0x00, 0x80, + 0xff, 0xff, 0x7f, 0x00, 0x00, 0x00, 0x00, 0xf0}, + {0xff, 0x01, 0x00, 0x00, 0x00, 0x00, 0xf8, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x1f, 0x00, 0x00, + 0xf8, 0x07, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xc7, 0xff, 0xff, 0xe0, 0xff, 0xff, 0xff}}, + {{0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, + 0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x6f, 0x03, 0xfb, + 0xfa, 0x8a, 0x7d, 0xdf, 0x13, 0x86, 0xe2, 0x03}, + {0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, + 0x82, 0xc9, 0xfa, 0xb0, 0x68, 0x04, 0xa0, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x6f, 0x03, 0xfb, + 0xfa, 0x8a, 0x7d, 0xdf, 0x13, 0x86, 0xe2, 0x03}} + }; + unsigned char res[33][2][32] = { + {{0x0c, 0x3b, 0x0a, 0xca, 0x8d, 0x1a, 0x2f, 0xb9, + 0x8a, 0x7b, 0x53, 0x5a, 0x1f, 0xc5, 0x22, 0xa1, + 0x07, 0x2a, 0x48, 0xea, 0x02, 0xeb, 0xb3, 0xd6, + 0x20, 0x1e, 0x86, 0xd0, 0x95, 0xf6, 0x92, 0x35}, + {0xdc, 0x90, 0x7a, 0x07, 0x2e, 0x1e, 0x44, 0x6d, + 0xf8, 0x15, 0x24, 0x5b, 0x5a, 0x96, 0x37, 0x9c, + 0x37, 0x7b, 0x0d, 0xac, 0x1b, 0x65, 0x58, 0x49, + 0x43, 0xb7, 0x31, 0xbb, 0xa7, 0xf4, 0x97, 0x15}}, + {{0xf1, 0xf7, 0x3a, 0x50, 0xe6, 0x10, 0xba, 0x22, + 0x43, 0x4d, 0x1f, 0x1f, 0x7c, 0x27, 0xca, 0x9c, + 0xb8, 0xb6, 0xa0, 0xfc, 0xd8, 0xc0, 0x05, 0x2f, + 0xf7, 0x08, 0xe1, 0x76, 0xdd, 0xd0, 0x80, 0xc8}, + {0xe3, 0x80, 0x80, 0xb8, 0xdb, 0xe3, 0xa9, 0x77, + 0x00, 0xb0, 0xf5, 0x2e, 0x27, 0xe2, 0x68, 0xc4, + 0x88, 0xe8, 0x04, 0xc1, 0x12, 0xbf, 0x78, 0x59, + 0xe6, 0xa9, 0x7c, 0xe1, 0x81, 0xdd, 0xb9, 0xd5}}, + {{0x96, 0xe2, 0xee, 0x01, 0xa6, 0x80, 0x31, 0xef, + 0x5c, 0xd0, 0x19, 0xb4, 0x7d, 0x5f, 0x79, 0xab, + 0xa1, 0x97, 0xd3, 0x7e, 0x33, 0xbb, 0x86, 0x55, + 0x60, 0x20, 0x10, 0x0d, 0x94, 0x2d, 0x11, 0x7c}, + {0xcc, 0xab, 0xe0, 0xe8, 0x98, 0x65, 0x12, 0x96, + 0x38, 0x5a, 0x1a, 0xf2, 0x85, 0x23, 0x59, 0x5f, + 0xf9, 0xf3, 0xc2, 0x81, 0x70, 0x92, 0x65, 0x12, + 0x9c, 0x65, 0x1e, 0x96, 0x00, 0xef, 0xe7, 0x63}}, + {{0xac, 0x1e, 0x62, 0xc2, 0x59, 0xfc, 0x4e, 0x5c, + 0x83, 0xb0, 0xd0, 0x6f, 0xce, 0x19, 0xf6, 0xbf, + 0xa4, 0xb0, 0xe0, 0x53, 0x66, 0x1f, 0xbf, 0xc9, + 0x33, 0x47, 0x37, 0xa9, 0x3d, 0x5d, 0xb0, 0x48}, + {0x86, 0xb9, 0x2a, 0x7f, 0x8e, 0xa8, 0x60, 0x42, + 0x26, 0x6d, 0x6e, 0x1c, 0xa2, 0xec, 0xe0, 0xe5, + 0x3e, 0x0a, 0x33, 0xbb, 0x61, 0x4c, 0x9f, 0x3c, + 0xd1, 0xdf, 0x49, 0x33, 0xcd, 0x72, 0x78, 0x18}}, + {{0xf7, 0xd3, 0xcd, 0x49, 0x5c, 0x13, 0x22, 0xfb, + 0x2e, 0xb2, 0x2f, 0x27, 0xf5, 0x8a, 0x5d, 0x74, + 0xc1, 0x58, 0xc5, 0xc2, 0x2d, 0x9f, 0x52, 0xc6, + 0x63, 0x9f, 0xba, 0x05, 0x76, 0x45, 0x7a, 0x63}, + {0x8a, 0xfa, 0x55, 0x4d, 0xdd, 0xa3, 0xb2, 0xc3, + 0x44, 0xfd, 0xec, 0x72, 0xde, 0xef, 0xc0, 0x99, + 0xf5, 0x9f, 0xe2, 0x52, 0xb4, 0x05, 0x32, 0x58, + 0x57, 0xc1, 0x8f, 0xea, 0xc3, 0x24, 0x5b, 0x94}}, + {{0x05, 0x83, 0xee, 0xdd, 0x64, 0xf0, 0x14, 0x3b, + 0xa0, 0x14, 0x4a, 0x3a, 0x41, 0x82, 0x7c, 0xa7, + 0x2c, 0xaa, 0xb1, 0x76, 0xbb, 0x59, 0x64, 0x5f, + 0x52, 0xad, 0x25, 0x29, 0x9d, 0x8f, 0x0b, 0xb0}, + {0x7e, 0xe3, 0x7c, 0xca, 0xcd, 0x4f, 0xb0, 0x6d, + 0x7a, 0xb2, 0x3e, 0xa0, 0x08, 0xb9, 0xa8, 0x2d, + 0xc2, 0xf4, 0x99, 0x66, 0xcc, 0xac, 0xd8, 0xb9, + 0x72, 0x2a, 0x4a, 0x3e, 0x0f, 0x7b, 0xbf, 0xf4}}, + {{0x8c, 0x9c, 0x78, 0x2b, 0x39, 0x61, 0x7e, 0xf7, + 0x65, 0x37, 0x66, 0x09, 0x38, 0xb9, 0x6f, 0x70, + 0x78, 0x87, 0xff, 0xcf, 0x93, 0xca, 0x85, 0x06, + 0x44, 0x84, 0xa7, 0xfe, 0xd3, 0xa4, 0xe3, 0x7e}, + {0xa2, 0x56, 0x49, 0x23, 0x54, 0xa5, 0x50, 0xe9, + 0x5f, 0xf0, 0x4d, 0xe7, 0xdc, 0x38, 0x32, 0x79, + 0x4f, 0x1c, 0xb7, 0xe4, 0xbb, 0xf8, 0xbb, 0x2e, + 0x40, 0x41, 0x4b, 0xcc, 0xe3, 0x1e, 0x16, 0x36}}, + {{0x0c, 0x1e, 0xd7, 0x09, 0x25, 0x40, 0x97, 0xcb, + 0x5c, 0x46, 0xa8, 0xda, 0xef, 0x25, 0xd5, 0xe5, + 0x92, 0x4d, 0xcf, 0xa3, 0xc4, 0x5d, 0x35, 0x4a, + 0xe4, 0x61, 0x92, 0xf3, 0xbf, 0x0e, 0xcd, 0xbe}, + {0xe4, 0xaf, 0x0a, 0xb3, 0x30, 0x8b, 0x9b, 0x48, + 0x49, 0x43, 0xc7, 0x64, 0x60, 0x4a, 0x2b, 0x9e, + 0x95, 0x5f, 0x56, 0xe8, 0x35, 0xdc, 0xeb, 0xdc, + 0xc7, 0xc4, 0xfe, 0x30, 0x40, 0xc7, 0xbf, 0xa4}}, + {{0xd4, 0xa0, 0xf5, 0x81, 0x49, 0x6b, 0xb6, 0x8b, + 0x0a, 0x69, 0xf9, 0xfe, 0xa8, 0x32, 0xe5, 0xe0, + 0xa5, 0xcd, 0x02, 0x53, 0xf9, 0x2c, 0xe3, 0x53, + 0x83, 0x36, 0xc6, 0x02, 0xb5, 0xeb, 0x64, 0xb8}, + {0x1d, 0x42, 0xb9, 0xf9, 0xe9, 0xe3, 0x93, 0x2c, + 0x4c, 0xee, 0x6c, 0x5a, 0x47, 0x9e, 0x62, 0x01, + 0x6b, 0x04, 0xfe, 0xa4, 0x30, 0x2b, 0x0d, 0x4f, + 0x71, 0x10, 0xd3, 0x55, 0xca, 0xf3, 0x5e, 0x80}}, + {{0x77, 0x05, 0xf6, 0x0c, 0x15, 0x9b, 0x45, 0xe7, + 0xb9, 0x11, 0xb8, 0xf5, 0xd6, 0xda, 0x73, 0x0c, + 0xda, 0x92, 0xea, 0xd0, 0x9d, 0xd0, 0x18, 0x92, + 0xce, 0x9a, 0xaa, 0xee, 0x0f, 0xef, 0xde, 0x30}, + {0xf1, 0xf1, 0xd6, 0x9b, 0x51, 0xd7, 0x77, 0x62, + 0x52, 0x10, 0xb8, 0x7a, 0x84, 0x9d, 0x15, 0x4e, + 0x07, 0xdc, 0x1e, 0x75, 0x0d, 0x0c, 0x3b, 0xdb, + 0x74, 0x58, 0x62, 0x02, 0x90, 0x54, 0x8b, 0x43}}, + {{0xa6, 0xfe, 0x0b, 0x87, 0x80, 0x43, 0x67, 0x25, + 0x57, 0x5d, 0xec, 0x40, 0x50, 0x08, 0xd5, 0x5d, + 0x43, 0xd7, 0xe0, 0xaa, 0xe0, 0x13, 0xb6, 0xb0, + 0xc0, 0xd4, 0xe5, 0x0d, 0x45, 0x83, 0xd6, 0x13}, + {0x40, 0x45, 0x0a, 0x92, 0x31, 0xea, 0x8c, 0x60, + 0x8c, 0x1f, 0xd8, 0x76, 0x45, 0xb9, 0x29, 0x00, + 0x26, 0x32, 0xd8, 0xa6, 0x96, 0x88, 0xe2, 0xc4, + 0x8b, 0xdb, 0x7f, 0x17, 0x87, 0xcc, 0xc8, 0xf2}}, + {{0xc2, 0x56, 0xe2, 0xb6, 0x1a, 0x81, 0xe7, 0x31, + 0x63, 0x2e, 0xbb, 0x0d, 0x2f, 0x81, 0x67, 0xd4, + 0x22, 0xe2, 0x38, 0x02, 0x25, 0x97, 0xc7, 0x88, + 0x6e, 0xdf, 0xbe, 0x2a, 0xa5, 0x73, 0x63, 0xaa}, + {0x50, 0x45, 0xe2, 0xc3, 0xbd, 0x89, 0xfc, 0x57, + 0xbd, 0x3c, 0xa3, 0x98, 0x7e, 0x7f, 0x36, 0x38, + 0x92, 0x39, 0x1f, 0x0f, 0x81, 0x1a, 0x06, 0x51, + 0x1f, 0x8d, 0x6a, 0xff, 0x47, 0x16, 0x06, 0x9c}}, + {{0x33, 0x95, 0xa2, 0x6f, 0x27, 0x5f, 0x9c, 0x9c, + 0x64, 0x45, 0xcb, 0xd1, 0x3c, 0xee, 0x5e, 0x5f, + 0x48, 0xa6, 0xaf, 0xe3, 0x79, 0xcf, 0xb1, 0xe2, + 0xbf, 0x55, 0x0e, 0xa2, 0x3b, 0x62, 0xf0, 0xe4}, + {0x14, 0xe8, 0x06, 0xe3, 0xbe, 0x7e, 0x67, 0x01, + 0xc5, 0x21, 0x67, 0xd8, 0x54, 0xb5, 0x7f, 0xa4, + 0xf9, 0x75, 0x70, 0x1c, 0xfd, 0x79, 0xdb, 0x86, + 0xad, 0x37, 0x85, 0x83, 0x56, 0x4e, 0xf0, 0xbf}}, + {{0xbc, 0xa6, 0xe0, 0x56, 0x4e, 0xef, 0xfa, 0xf5, + 0x1d, 0x5d, 0x3f, 0x2a, 0x5b, 0x19, 0xab, 0x51, + 0xc5, 0x8b, 0xdd, 0x98, 0x28, 0x35, 0x2f, 0xc3, + 0x81, 0x4f, 0x5c, 0xe5, 0x70, 0xb9, 0xeb, 0x62}, + {0xc4, 0x6d, 0x26, 0xb0, 0x17, 0x6b, 0xfe, 0x6c, + 0x12, 0xf8, 0xe7, 0xc1, 0xf5, 0x2f, 0xfa, 0x91, + 0x13, 0x27, 0xbd, 0x73, 0xcc, 0x33, 0x31, 0x1c, + 0x39, 0xe3, 0x27, 0x6a, 0x95, 0xcf, 0xc5, 0xfb}}, + {{0x30, 0xb2, 0x99, 0x84, 0xf0, 0x18, 0x2a, 0x6e, + 0x1e, 0x27, 0xed, 0xa2, 0x29, 0x99, 0x41, 0x56, + 0xe8, 0xd4, 0x0d, 0xef, 0x99, 0x9c, 0xf3, 0x58, + 0x29, 0x55, 0x1a, 0xc0, 0x68, 0xd6, 0x74, 0xa4}, + {0x07, 0x9c, 0xe7, 0xec, 0xf5, 0x36, 0x73, 0x41, + 0xa3, 0x1c, 0xe5, 0x93, 0x97, 0x6a, 0xfd, 0xf7, + 0x53, 0x18, 0xab, 0xaf, 0xeb, 0x85, 0xbd, 0x92, + 0x90, 0xab, 0x3c, 0xbf, 0x30, 0x82, 0xad, 0xf6}}, + {{0xc6, 0x87, 0x8a, 0x2a, 0xea, 0xc0, 0xa9, 0xec, + 0x6d, 0xd3, 0xdc, 0x32, 0x23, 0xce, 0x62, 0x19, + 0xa4, 0x7e, 0xa8, 0xdd, 0x1c, 0x33, 0xae, 0xd3, + 0x4f, 0x62, 0x9f, 0x52, 0xe7, 0x65, 0x46, 0xf4}, + {0x97, 0x51, 0x27, 0x67, 0x2d, 0xa2, 0x82, 0x87, + 0x98, 0xd3, 0xb6, 0x14, 0x7f, 0x51, 0xd3, 0x9a, + 0x0b, 0xd0, 0x76, 0x81, 0xb2, 0x4f, 0x58, 0x92, + 0xa4, 0x86, 0xa1, 0xa7, 0x09, 0x1d, 0xef, 0x9b}}, + {{0xb3, 0x0f, 0x2b, 0x69, 0x0d, 0x06, 0x90, 0x64, + 0xbd, 0x43, 0x4c, 0x10, 0xe8, 0x98, 0x1c, 0xa3, + 0xe1, 0x68, 0xe9, 0x79, 0x6c, 0x29, 0x51, 0x3f, + 0x41, 0xdc, 0xdf, 0x1f, 0xf3, 0x60, 0xbe, 0x33}, + {0xa1, 0x5f, 0xf7, 0x1d, 0xb4, 0x3e, 0x9b, 0x3c, + 0xe7, 0xbd, 0xb6, 0x06, 0xd5, 0x60, 0x06, 0x6d, + 0x50, 0xd2, 0xf4, 0x1a, 0x31, 0x08, 0xf2, 0xea, + 0x8e, 0xef, 0x5f, 0x7d, 0xb6, 0xd0, 0xc0, 0x27}}, + {{0x62, 0x9a, 0xd9, 0xbb, 0x38, 0x36, 0xce, 0xf7, + 0x5d, 0x2f, 0x13, 0xec, 0xc8, 0x2d, 0x02, 0x8a, + 0x2e, 0x72, 0xf0, 0xe5, 0x15, 0x9d, 0x72, 0xae, + 0xfc, 0xb3, 0x4f, 0x02, 0xea, 0xe1, 0x09, 0xfe}, + {0x00, 0x00, 0x00, 0x00, 0xfa, 0x0a, 0x3d, 0xbc, + 0xad, 0x16, 0x0c, 0xb6, 0xe7, 0x7c, 0x8b, 0x39, + 0x9a, 0x43, 0xbb, 0xe3, 0xc2, 0x55, 0x15, 0x14, + 0x75, 0xac, 0x90, 0x9b, 0x7f, 0x9a, 0x92, 0x00}}, + {{0x8b, 0xac, 0x70, 0x86, 0x29, 0x8f, 0x00, 0x23, + 0x7b, 0x45, 0x30, 0xaa, 0xb8, 0x4c, 0xc7, 0x8d, + 0x4e, 0x47, 0x85, 0xc6, 0x19, 0xe3, 0x96, 0xc2, + 0x9a, 0xa0, 0x12, 0xed, 0x6f, 0xd7, 0x76, 0x16}, + {0x45, 0xaf, 0x7e, 0x33, 0xc7, 0x7f, 0x10, 0x6c, + 0x7c, 0x9f, 0x29, 0xc1, 0xa8, 0x7e, 0x15, 0x84, + 0xe7, 0x7d, 0xc0, 0x6d, 0xab, 0x71, 0x5d, 0xd0, + 0x6b, 0x9f, 0x97, 0xab, 0xcb, 0x51, 0x0c, 0x9f}}, + {{0x9e, 0xc3, 0x92, 0xb4, 0x04, 0x9f, 0xc8, 0xbb, + 0xdd, 0x9e, 0xc6, 0x05, 0xfd, 0x65, 0xec, 0x94, + 0x7f, 0x2c, 0x16, 0xc4, 0x40, 0xac, 0x63, 0x7b, + 0x7d, 0xb8, 0x0c, 0xe4, 0x5b, 0xe3, 0xa7, 0x0e}, + {0x43, 0xf4, 0x44, 0xe8, 0xcc, 0xc8, 0xd4, 0x54, + 0x33, 0x37, 0x50, 0xf2, 0x87, 0x42, 0x2e, 0x00, + 0x49, 0x60, 0x62, 0x02, 0xfd, 0x1a, 0x7c, 0xdb, + 0x29, 0x6c, 0x6d, 0x54, 0x53, 0x08, 0xd1, 0xc8}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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}}, + {{0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}, + {0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}}, + {{0x28, 0x56, 0xac, 0x0e, 0x4f, 0x98, 0x09, 0xf0, + 0x49, 0xfa, 0x7f, 0x84, 0xac, 0x7e, 0x50, 0x5b, + 0x17, 0x43, 0x14, 0x89, 0x9c, 0x53, 0xa8, 0x94, + 0x30, 0xf2, 0x11, 0x4d, 0x92, 0x14, 0x27, 0xe8}, + {0x39, 0x7a, 0x84, 0x56, 0x79, 0x9d, 0xec, 0x26, + 0x2c, 0x53, 0xc1, 0x94, 0xc9, 0x8d, 0x9e, 0x9d, + 0x32, 0x1f, 0xdd, 0x84, 0x04, 0xe8, 0xe2, 0x0a, + 0x6b, 0xbe, 0xbb, 0x42, 0x40, 0x67, 0x30, 0x6c}}, + {{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + 0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4, + 0x40, 0x2d, 0xa1, 0x73, 0x2f, 0xc9, 0xbe, 0xbd}, + {0x27, 0x59, 0xc7, 0x35, 0x60, 0x71, 0xa6, 0xf1, + 0x79, 0xa5, 0xfd, 0x79, 0x16, 0xf3, 0x41, 0xf0, + 0x57, 0xb4, 0x02, 0x97, 0x32, 0xe7, 0xde, 0x59, + 0xe2, 0x2d, 0x9b, 0x11, 0xea, 0x2c, 0x35, 0x92}}, + {{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40}, + {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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}}, + {{0x1c, 0xc4, 0xf7, 0xda, 0x0f, 0x65, 0xca, 0x39, + 0x70, 0x52, 0x92, 0x8e, 0xc3, 0xc8, 0x15, 0xea, + 0x7f, 0x10, 0x9e, 0x77, 0x4b, 0x6e, 0x2d, 0xdf, + 0xe8, 0x30, 0x9d, 0xda, 0xe8, 0x9a, 0x65, 0xae}, + {0x02, 0xb0, 0x16, 0xb1, 0x1d, 0xc8, 0x57, 0x7b, + 0xa2, 0x3a, 0xa2, 0xa3, 0x38, 0x5c, 0x8f, 0xeb, + 0x66, 0x37, 0x91, 0xa8, 0x5f, 0xef, 0x04, 0xf6, + 0x59, 0x75, 0xe1, 0xee, 0x92, 0xf6, 0x0e, 0x30}}, + {{0x8d, 0x76, 0x14, 0xa4, 0x14, 0x06, 0x9f, 0x9a, + 0xdf, 0x4a, 0x85, 0xa7, 0x6b, 0xbf, 0x29, 0x6f, + 0xbc, 0x34, 0x87, 0x5d, 0xeb, 0xbb, 0x2e, 0xa9, + 0xc9, 0x1f, 0x58, 0xd6, 0x9a, 0x82, 0xa0, 0x56}, + {0xd4, 0xb9, 0xdb, 0x88, 0x1d, 0x04, 0xe9, 0x93, + 0x8d, 0x3f, 0x20, 0xd5, 0x86, 0xa8, 0x83, 0x07, + 0xdb, 0x09, 0xd8, 0x22, 0x1f, 0x7f, 0xf1, 0x71, + 0xc8, 0xe7, 0x5d, 0x47, 0xaf, 0x8b, 0x72, 0xe9}}, + {{0x83, 0xb9, 0x39, 0xb2, 0xa4, 0xdf, 0x46, 0x87, + 0xc2, 0xb8, 0xf1, 0xe6, 0x4c, 0xd1, 0xe2, 0xa9, + 0xe4, 0x70, 0x30, 0x34, 0xbc, 0x52, 0x7c, 0x55, + 0xa6, 0xec, 0x80, 0xa4, 0xe5, 0xd2, 0xdc, 0x73}, + {0x08, 0xf1, 0x03, 0xcf, 0x16, 0x73, 0xe8, 0x7d, + 0xb6, 0x7e, 0x9b, 0xc0, 0xb4, 0xc2, 0xa5, 0x86, + 0x02, 0x77, 0xd5, 0x27, 0x86, 0xa5, 0x15, 0xfb, + 0xae, 0x9b, 0x8c, 0xa9, 0xf9, 0xf8, 0xa8, 0x4a}}, + {{0x8b, 0x00, 0x49, 0xdb, 0xfa, 0xf0, 0x1b, 0xa2, + 0xed, 0x8a, 0x9a, 0x7a, 0x36, 0x78, 0x4a, 0xc7, + 0xf7, 0xad, 0x39, 0xd0, 0x6c, 0x65, 0x7a, 0x41, + 0xce, 0xd6, 0xd6, 0x4c, 0x20, 0x21, 0x6b, 0xc7}, + {0xc6, 0xca, 0x78, 0x1d, 0x32, 0x6c, 0x6c, 0x06, + 0x91, 0xf2, 0x1a, 0xe8, 0x43, 0x16, 0xea, 0x04, + 0x3c, 0x1f, 0x07, 0x85, 0xf7, 0x09, 0x22, 0x08, + 0xba, 0x13, 0xfd, 0x78, 0x1e, 0x3f, 0x6f, 0x62}}, + {{0x25, 0x9b, 0x7c, 0xb0, 0xac, 0x72, 0x6f, 0xb2, + 0xe3, 0x53, 0x84, 0x7a, 0x1a, 0x9a, 0x98, 0x9b, + 0x44, 0xd3, 0x59, 0xd0, 0x8e, 0x57, 0x41, 0x40, + 0x78, 0xa7, 0x30, 0x2f, 0x4c, 0x9c, 0xb9, 0x68}, + {0xb7, 0x75, 0x03, 0x63, 0x61, 0xc2, 0x48, 0x6e, + 0x12, 0x3d, 0xbf, 0x4b, 0x27, 0xdf, 0xb1, 0x7a, + 0xff, 0x4e, 0x31, 0x07, 0x83, 0xf4, 0x62, 0x5b, + 0x19, 0xa5, 0xac, 0xa0, 0x32, 0x58, 0x0d, 0xa7}}, + {{0x43, 0x4f, 0x10, 0xa4, 0xca, 0xdb, 0x38, 0x67, + 0xfa, 0xae, 0x96, 0xb5, 0x6d, 0x97, 0xff, 0x1f, + 0xb6, 0x83, 0x43, 0xd3, 0xa0, 0x2d, 0x70, 0x7a, + 0x64, 0x05, 0x4c, 0xa7, 0xc1, 0xa5, 0x21, 0x51}, + {0xe4, 0xf1, 0x23, 0x84, 0xe1, 0xb5, 0x9d, 0xf2, + 0xb8, 0x73, 0x8b, 0x45, 0x2b, 0x35, 0x46, 0x38, + 0x10, 0x2b, 0x50, 0xf8, 0x8b, 0x35, 0xcd, 0x34, + 0xc8, 0x0e, 0xf6, 0xdb, 0x09, 0x35, 0xf0, 0xda}}, + {{0xdb, 0x21, 0x5c, 0x8d, 0x83, 0x1d, 0xb3, 0x34, + 0xc7, 0x0e, 0x43, 0xa1, 0x58, 0x79, 0x67, 0x13, + 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, + 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}, + {0xdb, 0x21, 0x5c, 0x8d, 0x83, 0x1d, 0xb3, 0x34, + 0xc7, 0x0e, 0x43, 0xa1, 0x58, 0x79, 0x67, 0x13, + 0x1e, 0x86, 0x5d, 0x89, 0x63, 0xe6, 0x0a, 0x46, + 0x5c, 0x02, 0x97, 0x1b, 0x62, 0x43, 0x86, 0xf5}} + }; + secp256k1_scalar_set_int(&one, 1); + for (i = 0; i < 33; i++) { + secp256k1_scalar_set_b32(&x, chal[i][0], &overflow); + CHECK(!overflow); + secp256k1_scalar_set_b32(&y, chal[i][1], &overflow); + CHECK(!overflow); + secp256k1_scalar_set_b32(&r1, res[i][0], &overflow); + CHECK(!overflow); + secp256k1_scalar_set_b32(&r2, res[i][1], &overflow); + CHECK(!overflow); + secp256k1_scalar_mul(&z, &x, &y); + CHECK(!secp256k1_scalar_check_overflow(&z)); + CHECK(secp256k1_scalar_eq(&r1, &z)); + if (!secp256k1_scalar_is_zero(&y)) { + secp256k1_scalar_inverse(&zz, &y); + CHECK(!secp256k1_scalar_check_overflow(&zz)); +#if defined(USE_SCALAR_INV_NUM) + secp256k1_scalar_inverse_var(&zzv, &y); + CHECK(secp256k1_scalar_eq(&zzv, &zz)); +#endif + secp256k1_scalar_mul(&z, &z, &zz); + CHECK(!secp256k1_scalar_check_overflow(&z)); + CHECK(secp256k1_scalar_eq(&x, &z)); + secp256k1_scalar_mul(&zz, &zz, &y); + CHECK(!secp256k1_scalar_check_overflow(&zz)); + CHECK(secp256k1_scalar_eq(&one, &zz)); + } + secp256k1_scalar_mul(&z, &x, &x); + CHECK(!secp256k1_scalar_check_overflow(&z)); + secp256k1_scalar_sqr(&zz, &x); + CHECK(!secp256k1_scalar_check_overflow(&zz)); + CHECK(secp256k1_scalar_eq(&zz, &z)); + CHECK(secp256k1_scalar_eq(&r2, &zz)); + } + } } /***** FIELD TESTS *****/ @@ -685,6 +1548,16 @@ void random_fe(secp256k1_fe *x) { } while(1); } +void random_fe_test(secp256k1_fe *x) { + unsigned char bin[32]; + do { + secp256k1_rand256_test(bin); + if (secp256k1_fe_set_b32(x, bin)) { + return; + } + } while(1); +} + void random_fe_non_zero(secp256k1_fe *nz) { int tries = 10; while (--tries >= 0) { @@ -701,7 +1574,7 @@ void random_fe_non_zero(secp256k1_fe *nz) { void random_fe_non_square(secp256k1_fe *ns) { secp256k1_fe r; random_fe_non_zero(ns); - if (secp256k1_fe_sqrt_var(&r, ns)) { + if (secp256k1_fe_sqrt(&r, ns)) { secp256k1_fe_negate(ns, ns, 1); } } @@ -860,18 +1733,18 @@ void run_field_inv_all_var(void) { secp256k1_fe x[16], xi[16], xii[16]; int i; /* Check it's safe to call for 0 elements */ - secp256k1_fe_inv_all_var(0, xi, x); + secp256k1_fe_inv_all_var(xi, x, 0); for (i = 0; i < count; i++) { size_t j; - size_t len = (secp256k1_rand32() & 15) + 1; + size_t len = secp256k1_rand_int(15) + 1; for (j = 0; j < len; j++) { random_fe_non_zero(&x[j]); } - secp256k1_fe_inv_all_var(len, xi, x); + secp256k1_fe_inv_all_var(xi, x, len); for (j = 0; j < len; j++) { CHECK(check_fe_inverse(&x[j], &xi[j])); } - secp256k1_fe_inv_all_var(len, xii, xi); + secp256k1_fe_inv_all_var(xii, xi, len); for (j = 0; j < len; j++) { CHECK(check_fe_equal(&x[j], &xii[j])); } @@ -896,7 +1769,7 @@ void run_sqr(void) { void test_sqrt(const secp256k1_fe *a, const secp256k1_fe *k) { secp256k1_fe r1, r2; - int v = secp256k1_fe_sqrt_var(&r1, a); + int v = secp256k1_fe_sqrt(&r1, a); CHECK((v == 0) == (k == NULL)); if (k != NULL) { @@ -1002,7 +1875,7 @@ void test_ge(void) { /* Points: (infinity, p1, p1, -p1, -p1, p2, p2, -p2, -p2, p3, p3, -p3, -p3, p4, p4, -p4, -p4). * The second in each pair of identical points uses a random Z coordinate in the Jacobian form. * All magnitudes are randomized. - * All 17*17 combinations of points are added to eachother, using all applicable methods. + * All 17*17 combinations of points are added to each other, using all applicable methods. * * When the endomorphism code is compiled in, p5 = lambda*p1 and p6 = lambda^2*p1 are added as well. */ @@ -1057,7 +1930,7 @@ void test_ge(void) { zs[i] = gej[i].z; } } - secp256k1_fe_inv_all_var(4 * runs + 1, zinv, zs); + secp256k1_fe_inv_all_var(zinv, zs, 4 * runs + 1); free(zs); } @@ -1152,7 +2025,7 @@ void test_ge(void) { gej_shuffled[i] = gej[i]; } for (i = 0; i < 4 * runs + 1; i++) { - int swap = i + secp256k1_rand32() % (4 * runs + 1 - i); + int swap = i + secp256k1_rand_int(4 * runs + 1 - i); if (swap != i) { secp256k1_gej t = gej_shuffled[i]; gej_shuffled[i] = gej_shuffled[swap]; @@ -1177,8 +2050,8 @@ void test_ge(void) { secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z); } } - secp256k1_ge_set_table_gej_var(4 * runs + 1, ge_set_table, gej, zr); - secp256k1_ge_set_all_gej_var(4 * runs + 1, ge_set_all, gej, &ctx->error_callback); + secp256k1_ge_set_table_gej_var(ge_set_table, gej, zr, 4 * runs + 1); + secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1, &ctx->error_callback); for (i = 0; i < 4 * runs + 1; i++) { secp256k1_fe s; random_fe_non_zero(&s); @@ -1206,8 +2079,8 @@ void test_add_neg_y_diff_x(void) { * of the sum to be wrong (since infinity has no xy coordinates). * HOWEVER, if the x-coordinates are different, infinity is the * wrong answer, and such degeneracies are exposed. This is the - * root of https://github.com/bitcoin/secp256k1/issues/257 which - * this test is a regression test for. + * root of https://github.com/bitcoin-core/secp256k1/issues/257 + * which this test is a regression test for. * * These points were generated in sage as * # secp256k1 params @@ -1303,6 +2176,79 @@ void run_ec_combine(void) { } } +void test_group_decompress(const secp256k1_fe* x) { + /* The input itself, normalized. */ + secp256k1_fe fex = *x; + secp256k1_fe fez; + /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */ + secp256k1_ge ge_quad, ge_even, ge_odd; + secp256k1_gej gej_quad; + /* Return values of the above calls. */ + int res_quad, res_even, res_odd; + + secp256k1_fe_normalize_var(&fex); + + res_quad = secp256k1_ge_set_xquad(&ge_quad, &fex); + res_even = secp256k1_ge_set_xo_var(&ge_even, &fex, 0); + res_odd = secp256k1_ge_set_xo_var(&ge_odd, &fex, 1); + + CHECK(res_quad == res_even); + CHECK(res_quad == res_odd); + + if (res_quad) { + secp256k1_fe_normalize_var(&ge_quad.x); + secp256k1_fe_normalize_var(&ge_odd.x); + secp256k1_fe_normalize_var(&ge_even.x); + secp256k1_fe_normalize_var(&ge_quad.y); + secp256k1_fe_normalize_var(&ge_odd.y); + secp256k1_fe_normalize_var(&ge_even.y); + + /* No infinity allowed. */ + CHECK(!ge_quad.infinity); + CHECK(!ge_even.infinity); + CHECK(!ge_odd.infinity); + + /* Check that the x coordinates check out. */ + CHECK(secp256k1_fe_equal_var(&ge_quad.x, x)); + CHECK(secp256k1_fe_equal_var(&ge_even.x, x)); + CHECK(secp256k1_fe_equal_var(&ge_odd.x, x)); + + /* Check that the Y coordinate result in ge_quad is a square. */ + CHECK(secp256k1_fe_is_quad_var(&ge_quad.y)); + + /* Check odd/even Y in ge_odd, ge_even. */ + CHECK(secp256k1_fe_is_odd(&ge_odd.y)); + CHECK(!secp256k1_fe_is_odd(&ge_even.y)); + + /* Check secp256k1_gej_has_quad_y_var. */ + secp256k1_gej_set_ge(&gej_quad, &ge_quad); + CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); + do { + random_fe_test(&fez); + } while (secp256k1_fe_is_zero(&fez)); + secp256k1_gej_rescale(&gej_quad, &fez); + CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); + secp256k1_gej_neg(&gej_quad, &gej_quad); + CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); + do { + random_fe_test(&fez); + } while (secp256k1_fe_is_zero(&fez)); + secp256k1_gej_rescale(&gej_quad, &fez); + CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad)); + secp256k1_gej_neg(&gej_quad, &gej_quad); + CHECK(secp256k1_gej_has_quad_y_var(&gej_quad)); + } +} + +void run_group_decompress(void) { + int i; + for (i = 0; i < count * 4; i++) { + secp256k1_fe fe; + random_fe_test(&fe); + test_group_decompress(&fe); + } +} + /***** ECMULT TESTS *****/ void run_ecmult_chain(void) { @@ -1582,9 +2528,7 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) { secp256k1_scalar x, shift; int wnaf[256] = {0}; int i; -#ifdef USE_ENDOMORPHISM int skew; -#endif secp256k1_scalar num = *number; secp256k1_scalar_set_int(&x, 0); @@ -1594,10 +2538,8 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) { for (i = 0; i < 16; ++i) { secp256k1_scalar_shr_int(&num, 8); } - skew = secp256k1_wnaf_const(wnaf, num, w); -#else - secp256k1_wnaf_const(wnaf, num, w); #endif + skew = secp256k1_wnaf_const(wnaf, num, w); for (i = WNAF_SIZE(w); i >= 0; --i) { secp256k1_scalar t; @@ -1616,10 +2558,8 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) { } secp256k1_scalar_add(&x, &x, &t); } -#ifdef USE_ENDOMORPHISM - /* Skew num because when encoding 128-bit numbers as odd we use an offset */ + /* Skew num because when encoding numbers as odd we use an offset */ secp256k1_scalar_cadd_bit(&num, skew == 2, 1); -#endif CHECK(secp256k1_scalar_eq(&x, &num)); } @@ -1640,6 +2580,11 @@ void run_wnaf(void) { test_constant_wnaf_negate(&n); test_constant_wnaf(&n, 4 + (i % 10)); } + secp256k1_scalar_set_int(&n, 0); + CHECK(secp256k1_scalar_cond_negate(&n, 1) == -1); + CHECK(secp256k1_scalar_is_zero(&n)); + CHECK(secp256k1_scalar_cond_negate(&n, 0) == 1); + CHECK(secp256k1_scalar_is_zero(&n)); } void test_ecmult_constants(void) { @@ -1680,7 +2625,7 @@ void run_ecmult_constants(void) { } void test_ecmult_gen_blind(void) { - /* Test ecmult_gen() blinding and confirm that the blinding changes, the affline points match, and the z's don't match. */ + /* Test ecmult_gen() blinding and confirm that the blinding changes, the affine points match, and the z's don't match. */ secp256k1_scalar key; secp256k1_scalar b; unsigned char seed32[32]; @@ -1752,6 +2697,644 @@ void run_endomorphism_tests(void) { } #endif +void ec_pubkey_parse_pointtest(const unsigned char *input, int xvalid, int yvalid) { + unsigned char pubkeyc[65]; + secp256k1_pubkey pubkey; + secp256k1_ge ge; + size_t pubkeyclen; + int32_t ecount; + ecount = 0; + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + for (pubkeyclen = 3; pubkeyclen <= 65; pubkeyclen++) { + /* Smaller sizes are tested exhaustively elsewhere. */ + int32_t i; + memcpy(&pubkeyc[1], input, 64); + VG_UNDEF(&pubkeyc[pubkeyclen], 65 - pubkeyclen); + for (i = 0; i < 256; i++) { + /* Try all type bytes. */ + int xpass; + int ypass; + int ysign; + pubkeyc[0] = i; + /* What sign does this point have? */ + ysign = (input[63] & 1) + 2; + /* For the current type (i) do we expect parsing to work? Handled all of compressed/uncompressed/hybrid. */ + xpass = xvalid && (pubkeyclen == 33) && ((i & 254) == 2); + /* Do we expect a parse and re-serialize as uncompressed to give a matching y? */ + ypass = xvalid && yvalid && ((i & 4) == ((pubkeyclen == 65) << 2)) && + ((i == 4) || ((i & 251) == ysign)) && ((pubkeyclen == 33) || (pubkeyclen == 65)); + if (xpass || ypass) { + /* These cases must parse. */ + unsigned char pubkeyo[65]; + size_t outl; + memset(&pubkey, 0, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + ecount = 0; + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); + VG_CHECK(&pubkey, sizeof(pubkey)); + outl = 65; + VG_UNDEF(pubkeyo, 65); + CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + VG_CHECK(pubkeyo, outl); + CHECK(outl == 33); + CHECK(memcmp(&pubkeyo[1], &pubkeyc[1], 32) == 0); + CHECK((pubkeyclen != 33) || (pubkeyo[0] == pubkeyc[0])); + if (ypass) { + /* This test isn't always done because we decode with alternative signs, so the y won't match. */ + CHECK(pubkeyo[0] == ysign); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); + memset(&pubkey, 0, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + secp256k1_pubkey_save(&pubkey, &ge); + VG_CHECK(&pubkey, sizeof(pubkey)); + outl = 65; + VG_UNDEF(pubkeyo, 65); + CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyo, &outl, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); + VG_CHECK(pubkeyo, outl); + CHECK(outl == 65); + CHECK(pubkeyo[0] == 4); + CHECK(memcmp(&pubkeyo[1], input, 64) == 0); + } + CHECK(ecount == 0); + } else { + /* These cases must fail to parse. */ + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + } + } + } + secp256k1_context_set_illegal_callback(ctx, NULL, NULL); +} + +void run_ec_pubkey_parse_test(void) { +#define SECP256K1_EC_PARSE_TEST_NVALID (12) + const unsigned char valid[SECP256K1_EC_PARSE_TEST_NVALID][64] = { + { + /* Point with leading and trailing zeros in x and y serialization. */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x42, 0x52, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x64, 0xef, 0xa1, 0x7b, 0x77, 0x61, 0xe1, 0xe4, 0x27, 0x06, 0x98, 0x9f, 0xb4, 0x83, + 0xb8, 0xd2, 0xd4, 0x9b, 0xf7, 0x8f, 0xae, 0x98, 0x03, 0xf0, 0x99, 0xb8, 0x34, 0xed, 0xeb, 0x00 + }, + { + /* Point with x equal to a 3rd root of unity.*/ + 0x7a, 0xe9, 0x6a, 0x2b, 0x65, 0x7c, 0x07, 0x10, 0x6e, 0x64, 0x47, 0x9e, 0xac, 0x34, 0x34, 0xe9, + 0x9c, 0xf0, 0x49, 0x75, 0x12, 0xf5, 0x89, 0x95, 0xc1, 0x39, 0x6c, 0x28, 0x71, 0x95, 0x01, 0xee, + 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, + }, + { + /* Point with largest x. (1/2) */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2c, + 0x0e, 0x99, 0x4b, 0x14, 0xea, 0x72, 0xf8, 0xc3, 0xeb, 0x95, 0xc7, 0x1e, 0xf6, 0x92, 0x57, 0x5e, + 0x77, 0x50, 0x58, 0x33, 0x2d, 0x7e, 0x52, 0xd0, 0x99, 0x5c, 0xf8, 0x03, 0x88, 0x71, 0xb6, 0x7d, + }, + { + /* Point with largest x. (2/2) */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2c, + 0xf1, 0x66, 0xb4, 0xeb, 0x15, 0x8d, 0x07, 0x3c, 0x14, 0x6a, 0x38, 0xe1, 0x09, 0x6d, 0xa8, 0xa1, + 0x88, 0xaf, 0xa7, 0xcc, 0xd2, 0x81, 0xad, 0x2f, 0x66, 0xa3, 0x07, 0xfb, 0x77, 0x8e, 0x45, 0xb2, + }, + { + /* Point with smallest x. (1/2) */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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, + 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, + }, + { + /* Point with smallest x. (2/2) */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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, + 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, + }, + { + /* Point with largest y. (1/3) */ + 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, 0x2e, + }, + { + /* Point with largest y. (2/3) */ + 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, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, + }, + { + /* Point with largest y. (3/3) */ + 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, + 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, + }, + { + /* Point with smallest y. (1/3) */ + 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, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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, + }, + { + /* Point with smallest y. (2/3) */ + 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, 0x01, + }, + { + /* Point with smallest y. (3/3) */ + 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, + 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 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 + } + }; +#define SECP256K1_EC_PARSE_TEST_NXVALID (4) + const unsigned char onlyxvalid[SECP256K1_EC_PARSE_TEST_NXVALID][64] = { + { + /* Valid if y overflow ignored (y = 1 mod p). (1/3) */ + 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, 0x30, + }, + { + /* Valid if y overflow ignored (y = 1 mod p). (2/3) */ + 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, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, + }, + { + /* Valid if y overflow ignored (y = 1 mod p). (3/3)*/ + 0x14, 0x6d, 0x3b, 0x65, 0xad, 0xd9, 0xf5, 0x4c, 0xcc, 0xa2, 0x85, 0x33, 0xc8, 0x8e, 0x2c, 0xbc, + 0x63, 0xf7, 0x44, 0x3e, 0x16, 0x58, 0x78, 0x3a, 0xb4, 0x1f, 0x8e, 0xf9, 0x7c, 0x2a, 0x10, 0xb5, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, + }, + { + /* x on curve, y is from y^2 = x^3 + 8. */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03 + } + }; +#define SECP256K1_EC_PARSE_TEST_NINVALID (7) + const unsigned char invalid[SECP256K1_EC_PARSE_TEST_NINVALID][64] = { + { + /* x is third root of -8, y is -1 * (x^3+7); also on the curve for y^2 = x^3 + 9. */ + 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, 0x01, + }, + { + /* Valid if x overflow ignored (x = 1 mod p). */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, + 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, + }, + { + /* Valid if x overflow ignored (x = 1 mod p). */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x30, + 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, + }, + { + /* x is -1, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 5. */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, + 0xf4, 0x84, 0x14, 0x5c, 0xb0, 0x14, 0x9b, 0x82, 0x5d, 0xff, 0x41, 0x2f, 0xa0, 0x52, 0xa8, 0x3f, + 0xcb, 0x72, 0xdb, 0x61, 0xd5, 0x6f, 0x37, 0x70, 0xce, 0x06, 0x6b, 0x73, 0x49, 0xa2, 0xaa, 0x28, + }, + { + /* x is -1, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 5. */ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2e, + 0x0b, 0x7b, 0xeb, 0xa3, 0x4f, 0xeb, 0x64, 0x7d, 0xa2, 0x00, 0xbe, 0xd0, 0x5f, 0xad, 0x57, 0xc0, + 0x34, 0x8d, 0x24, 0x9e, 0x2a, 0x90, 0xc8, 0x8f, 0x31, 0xf9, 0x94, 0x8b, 0xb6, 0x5d, 0x52, 0x07, + }, + { + /* x is zero, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 7. */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x8f, 0x53, 0x7e, 0xef, 0xdf, 0xc1, 0x60, 0x6a, 0x07, 0x27, 0xcd, 0x69, 0xb4, 0xa7, 0x33, 0x3d, + 0x38, 0xed, 0x44, 0xe3, 0x93, 0x2a, 0x71, 0x79, 0xee, 0xcb, 0x4b, 0x6f, 0xba, 0x93, 0x60, 0xdc, + }, + { + /* x is zero, y is the result of the sqrt ladder; also on the curve for y^2 = x^3 - 7. */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x70, 0xac, 0x81, 0x10, 0x20, 0x3e, 0x9f, 0x95, 0xf8, 0xd8, 0x32, 0x96, 0x4b, 0x58, 0xcc, 0xc2, + 0xc7, 0x12, 0xbb, 0x1c, 0x6c, 0xd5, 0x8e, 0x86, 0x11, 0x34, 0xb4, 0x8f, 0x45, 0x6c, 0x9b, 0x53 + } + }; + const unsigned char pubkeyc[66] = { + /* Serialization of G. */ + 0x04, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, + 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, + 0x98, 0x48, 0x3A, 0xDA, 0x77, 0x26, 0xA3, 0xC4, 0x65, 0x5D, 0xA4, 0xFB, 0xFC, 0x0E, 0x11, 0x08, + 0xA8, 0xFD, 0x17, 0xB4, 0x48, 0xA6, 0x85, 0x54, 0x19, 0x9C, 0x47, 0xD0, 0x8F, 0xFB, 0x10, 0xD4, + 0xB8, 0x00 + }; + unsigned char sout[65]; + unsigned char shortkey[2]; + secp256k1_ge ge; + secp256k1_pubkey pubkey; + size_t len; + int32_t i; + int32_t ecount; + int32_t ecount2; + ecount = 0; + /* Nothing should be reading this far into pubkeyc. */ + VG_UNDEF(&pubkeyc[65], 1); + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + /* Zero length claimed, fail, zeroize, no illegal arg error. */ + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(shortkey, 2); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 0) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + /* Length one claimed, fail, zeroize, no illegal arg error. */ + for (i = 0; i < 256 ; i++) { + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + shortkey[0] = i; + VG_UNDEF(&shortkey[1], 1); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 1) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + } + /* Length two claimed, fail, zeroize, no illegal arg error. */ + for (i = 0; i < 65536 ; i++) { + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + shortkey[0] = i & 255; + shortkey[1] = i >> 8; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, shortkey, 2) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + } + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + /* 33 bytes claimed on otherwise valid input starting with 0x04, fail, zeroize output, no illegal arg error. */ + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 33) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + /* NULL pubkey, illegal arg error. Pubkey isn't rewritten before this step, since it's NULL into the parser. */ + CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, pubkeyc, 65) == 0); + CHECK(ecount == 2); + /* NULL input string. Illegal arg and zeroize output. */ + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, NULL, 65) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 1); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 2); + /* 64 bytes claimed on input starting with 0x04, fail, zeroize output, no illegal arg error. */ + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 64) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + /* 66 bytes claimed, fail, zeroize output, no illegal arg error. */ + memset(&pubkey, 0xfe, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 66) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 0); + CHECK(ecount == 1); + /* Valid parse. */ + memset(&pubkey, 0, sizeof(pubkey)); + ecount = 0; + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(ecount == 0); + VG_UNDEF(&ge, sizeof(ge)); + CHECK(secp256k1_pubkey_load(ctx, &ge, &pubkey) == 1); + VG_CHECK(&ge.x, sizeof(ge.x)); + VG_CHECK(&ge.y, sizeof(ge.y)); + VG_CHECK(&ge.infinity, sizeof(ge.infinity)); + ge_equals_ge(&secp256k1_ge_const_g, &ge); + CHECK(ecount == 0); + /* secp256k1_ec_pubkey_serialize illegal args. */ + ecount = 0; + len = 65; + CHECK(secp256k1_ec_pubkey_serialize(ctx, NULL, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); + CHECK(ecount == 1); + CHECK(len == 0); + CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, NULL, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 0); + CHECK(ecount == 2); + len = 65; + VG_UNDEF(sout, 65); + CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, NULL, SECP256K1_EC_UNCOMPRESSED) == 0); + VG_CHECK(sout, 65); + CHECK(ecount == 3); + CHECK(len == 0); + len = 65; + CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, ~0) == 0); + CHECK(ecount == 4); + CHECK(len == 0); + len = 65; + VG_UNDEF(sout, 65); + CHECK(secp256k1_ec_pubkey_serialize(ctx, sout, &len, &pubkey, SECP256K1_EC_UNCOMPRESSED) == 1); + VG_CHECK(sout, 65); + CHECK(ecount == 4); + CHECK(len == 65); + /* Multiple illegal args. Should still set arg error only once. */ + ecount = 0; + ecount2 = 11; + CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); + CHECK(ecount == 1); + /* Does the illegal arg callback actually change the behavior? */ + secp256k1_context_set_illegal_callback(ctx, uncounting_illegal_callback_fn, &ecount2); + CHECK(secp256k1_ec_pubkey_parse(ctx, NULL, NULL, 65) == 0); + CHECK(ecount == 1); + CHECK(ecount2 == 10); + secp256k1_context_set_illegal_callback(ctx, NULL, NULL); + /* Try a bunch of prefabbed points with all possible encodings. */ + for (i = 0; i < SECP256K1_EC_PARSE_TEST_NVALID; i++) { + ec_pubkey_parse_pointtest(valid[i], 1, 1); + } + for (i = 0; i < SECP256K1_EC_PARSE_TEST_NXVALID; i++) { + ec_pubkey_parse_pointtest(onlyxvalid[i], 1, 0); + } + for (i = 0; i < SECP256K1_EC_PARSE_TEST_NINVALID; i++) { + ec_pubkey_parse_pointtest(invalid[i], 0, 0); + } +} + +void run_eckey_edge_case_test(void) { + const unsigned char orderc[32] = { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41 + }; + const unsigned char zeros[sizeof(secp256k1_pubkey)] = {0x00}; + unsigned char ctmp[33]; + unsigned char ctmp2[33]; + secp256k1_pubkey pubkey; + secp256k1_pubkey pubkey2; + secp256k1_pubkey pubkey_one; + secp256k1_pubkey pubkey_negone; + const secp256k1_pubkey *pubkeys[3]; + size_t len; + int32_t ecount; + /* Group order is too large, reject. */ + CHECK(secp256k1_ec_seckey_verify(ctx, orderc) == 0); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, orderc) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + /* Maximum value is too large, reject. */ + memset(ctmp, 255, 32); + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + memset(&pubkey, 1, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + /* Zero is too small, reject. */ + memset(ctmp, 0, 32); + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + memset(&pubkey, 1, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + /* One must be accepted. */ + ctmp[31] = 0x01; + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); + memset(&pubkey, 0, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + pubkey_one = pubkey; + /* Group order + 1 is too large, reject. */ + memcpy(ctmp, orderc, 32); + ctmp[31] = 0x42; + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 0); + memset(&pubkey, 1, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 0); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + /* -1 must be accepted. */ + ctmp[31] = 0x40; + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); + memset(&pubkey, 0, sizeof(pubkey)); + VG_UNDEF(&pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, ctmp) == 1); + VG_CHECK(&pubkey, sizeof(pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + pubkey_negone = pubkey; + /* Tweak of zero leaves the value changed. */ + memset(ctmp2, 0, 32); + CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, ctmp2) == 1); + CHECK(memcmp(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40); + memcpy(&pubkey2, &pubkey, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); + CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + /* Multiply tweak of zero zeroizes the output. */ + CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, ctmp2) == 0); + CHECK(memcmp(zeros, ctmp, 32) == 0); + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, ctmp2) == 0); + CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + memcpy(&pubkey, &pubkey2, sizeof(pubkey)); + /* Overflowing key tweak zeroizes. */ + memcpy(ctmp, orderc, 32); + ctmp[31] = 0x40; + CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, orderc) == 0); + CHECK(memcmp(zeros, ctmp, 32) == 0); + memcpy(ctmp, orderc, 32); + ctmp[31] = 0x40; + CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, orderc) == 0); + CHECK(memcmp(zeros, ctmp, 32) == 0); + memcpy(ctmp, orderc, 32); + ctmp[31] = 0x40; + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, orderc) == 0); + CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + memcpy(&pubkey, &pubkey2, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, orderc) == 0); + CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + memcpy(&pubkey, &pubkey2, sizeof(pubkey)); + /* Private key tweaks results in a key of zero. */ + ctmp2[31] = 1; + CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 0); + CHECK(memcmp(zeros, ctmp2, 32) == 0); + ctmp2[31] = 1; + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); + CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + memcpy(&pubkey, &pubkey2, sizeof(pubkey)); + /* Tweak computation wraps and results in a key of 1. */ + ctmp2[31] = 2; + CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp2, ctmp) == 1); + CHECK(memcmp(ctmp2, zeros, 31) == 0 && ctmp2[31] == 1); + ctmp2[31] = 2; + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); + ctmp2[31] = 1; + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey2, ctmp2) == 1); + CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + /* Tweak mul * 2 = 1+1. */ + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 1); + ctmp2[31] = 2; + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 1); + CHECK(memcmp(&pubkey, &pubkey2, sizeof(pubkey)) == 0); + /* Test argument errors. */ + ecount = 0; + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); + CHECK(ecount == 0); + /* Zeroize pubkey on parse error. */ + memset(&pubkey, 0, 32); + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, ctmp2) == 0); + CHECK(ecount == 1); + CHECK(memcmp(&pubkey, zeros, sizeof(pubkey)) == 0); + memcpy(&pubkey, &pubkey2, sizeof(pubkey)); + memset(&pubkey2, 0, 32); + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey2, ctmp2) == 0); + CHECK(ecount == 2); + CHECK(memcmp(&pubkey2, zeros, sizeof(pubkey2)) == 0); + /* Plain argument errors. */ + ecount = 0; + CHECK(secp256k1_ec_seckey_verify(ctx, ctmp) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_ec_seckey_verify(ctx, NULL) == 0); + CHECK(ecount == 1); + ecount = 0; + memset(ctmp2, 0, 32); + ctmp2[31] = 4; + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, NULL, ctmp2) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, NULL) == 0); + CHECK(ecount == 2); + ecount = 0; + memset(ctmp2, 0, 32); + ctmp2[31] = 4; + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, NULL, ctmp2) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, NULL) == 0); + CHECK(ecount == 2); + ecount = 0; + memset(ctmp2, 0, 32); + CHECK(secp256k1_ec_privkey_tweak_add(ctx, NULL, ctmp2) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, NULL) == 0); + CHECK(ecount == 2); + ecount = 0; + memset(ctmp2, 0, 32); + ctmp2[31] = 1; + CHECK(secp256k1_ec_privkey_tweak_mul(ctx, NULL, ctmp2) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ec_privkey_tweak_mul(ctx, ctmp, NULL) == 0); + CHECK(ecount == 2); + ecount = 0; + CHECK(secp256k1_ec_pubkey_create(ctx, NULL, ctmp) == 0); + CHECK(ecount == 1); + memset(&pubkey, 1, sizeof(pubkey)); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); + CHECK(ecount == 2); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + /* secp256k1_ec_pubkey_combine tests. */ + ecount = 0; + pubkeys[0] = &pubkey_one; + VG_UNDEF(&pubkeys[0], sizeof(secp256k1_pubkey *)); + VG_UNDEF(&pubkeys[1], sizeof(secp256k1_pubkey *)); + VG_UNDEF(&pubkeys[2], sizeof(secp256k1_pubkey *)); + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 0) == 0); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ec_pubkey_combine(ctx, NULL, pubkeys, 1) == 0); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK(ecount == 2); + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, NULL, 1) == 0); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK(ecount == 3); + pubkeys[0] = &pubkey_negone; + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 1) == 1); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + CHECK(ecount == 3); + len = 33; + CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_negone, SECP256K1_EC_COMPRESSED) == 1); + CHECK(memcmp(ctmp, ctmp2, 33) == 0); + /* Result is infinity. */ + pubkeys[0] = &pubkey_one; + pubkeys[1] = &pubkey_negone; + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 0); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) == 0); + CHECK(ecount == 3); + /* Passes through infinity but comes out one. */ + pubkeys[2] = &pubkey_one; + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 3) == 1); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + CHECK(ecount == 3); + len = 33; + CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp, &len, &pubkey, SECP256K1_EC_COMPRESSED) == 1); + CHECK(secp256k1_ec_pubkey_serialize(ctx, ctmp2, &len, &pubkey_one, SECP256K1_EC_COMPRESSED) == 1); + CHECK(memcmp(ctmp, ctmp2, 33) == 0); + /* Adds to two. */ + pubkeys[1] = &pubkey_one; + memset(&pubkey, 255, sizeof(secp256k1_pubkey)); + VG_UNDEF(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(secp256k1_ec_pubkey_combine(ctx, &pubkey, pubkeys, 2) == 1); + VG_CHECK(&pubkey, sizeof(secp256k1_pubkey)); + CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0); + CHECK(ecount == 3); + secp256k1_context_set_illegal_callback(ctx, NULL, NULL); +} + void random_sign(secp256k1_scalar *sigr, secp256k1_scalar *sigs, const secp256k1_scalar *key, const secp256k1_scalar *msg, int *recid) { secp256k1_scalar nonce; do { @@ -1771,7 +3354,7 @@ void test_ecdsa_sign_verify(void) { random_scalar_order_test(&key); secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key); secp256k1_ge_set_gej(&pub, &pubj); - getrec = secp256k1_rand32()&1; + getrec = secp256k1_rand_bits(1); random_sign(&sigr, &sigs, &key, &msg, getrec?&recid:NULL); if (getrec) { CHECK(recid >= 0 && recid < 4); @@ -1828,7 +3411,7 @@ static int nonce_function_test_retry(unsigned char *nonce32, const unsigned char } return 1; } - /* Retry rate of 6979 is negligible esp. as we only call this in determinstic tests. */ + /* Retry rate of 6979 is negligible esp. as we only call this in deterministic tests. */ /* If someone does fine a case where it retries for secp256k1, we'd like to know. */ if (counter > 5) { return 0; @@ -1846,7 +3429,8 @@ void test_ecdsa_end_to_end(void) { unsigned char privkey[32]; unsigned char message[32]; unsigned char privkey2[32]; - secp256k1_ecdsa_signature signature[5]; + secp256k1_ecdsa_signature signature[6]; + secp256k1_scalar r, s; unsigned char sig[74]; size_t siglen = 74; unsigned char pubkeyc[65]; @@ -1869,17 +3453,17 @@ void test_ecdsa_end_to_end(void) { CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); /* Verify exporting and importing public key. */ - CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyc, &pubkeyclen, &pubkey, secp256k1_rand32() % 2) == 1); + CHECK(secp256k1_ec_pubkey_serialize(ctx, pubkeyc, &pubkeyclen, &pubkey, secp256k1_rand_bits(1) == 1 ? SECP256K1_EC_COMPRESSED : SECP256K1_EC_UNCOMPRESSED)); memset(&pubkey, 0, sizeof(pubkey)); CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, pubkeyclen) == 1); /* Verify private key import and export. */ - CHECK(secp256k1_ec_privkey_export(ctx, seckey, &seckeylen, privkey, (secp256k1_rand32() % 2) == 1) ? SECP256K1_EC_COMPRESSED : 0); - CHECK(secp256k1_ec_privkey_import(ctx, privkey2, seckey, seckeylen) == 1); + CHECK(ec_privkey_export_der(ctx, seckey, &seckeylen, privkey, secp256k1_rand_bits(1) == 1)); + CHECK(ec_privkey_import_der(ctx, privkey2, seckey, seckeylen) == 1); CHECK(memcmp(privkey, privkey2, 32) == 0); /* Optionally tweak the keys using addition. */ - if (secp256k1_rand32() % 3 == 0) { + if (secp256k1_rand_int(3) == 0) { int ret1; int ret2; unsigned char rnd[32]; @@ -1896,7 +3480,7 @@ void test_ecdsa_end_to_end(void) { } /* Optionally tweak the keys using multiplication. */ - if (secp256k1_rand32() % 3 == 0) { + if (secp256k1_rand_int(3) == 0) { int ret1; int ret2; unsigned char rnd[32]; @@ -1933,6 +3517,22 @@ void test_ecdsa_end_to_end(void) { CHECK(secp256k1_ecdsa_verify(ctx, &signature[1], message, &pubkey) == 1); CHECK(secp256k1_ecdsa_verify(ctx, &signature[2], message, &pubkey) == 1); CHECK(secp256k1_ecdsa_verify(ctx, &signature[3], message, &pubkey) == 1); + /* Test lower-S form, malleate, verify and fail, test again, malleate again */ + CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[0])); + secp256k1_ecdsa_signature_load(ctx, &r, &s, &signature[0]); + secp256k1_scalar_negate(&s, &s); + secp256k1_ecdsa_signature_save(&signature[5], &r, &s); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 0); + CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); + CHECK(secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); + CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); + CHECK(!secp256k1_ecdsa_signature_normalize(ctx, &signature[5], &signature[5])); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); + secp256k1_scalar_negate(&s, &s); + secp256k1_ecdsa_signature_save(&signature[5], &r, &s); + CHECK(!secp256k1_ecdsa_signature_normalize(ctx, NULL, &signature[5])); + CHECK(secp256k1_ecdsa_verify(ctx, &signature[5], message, &pubkey) == 1); + CHECK(memcmp(&signature[5], &signature[0], 64) == 0); /* Serialize/parse DER and verify again */ CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); @@ -1942,7 +3542,7 @@ void test_ecdsa_end_to_end(void) { /* Serialize/destroy/parse DER and verify again. */ siglen = 74; CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, sig, &siglen, &signature[0]) == 1); - sig[secp256k1_rand32() % siglen] += 1 + (secp256k1_rand32() % 255); + sig[secp256k1_rand_int(siglen)] += 1 + secp256k1_rand_int(255); CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &signature[0], sig, siglen) == 0 || secp256k1_ecdsa_verify(ctx, &signature[0], message, &pubkey) == 0); } @@ -1952,23 +3552,18 @@ void test_random_pubkeys(void) { secp256k1_ge elem2; unsigned char in[65]; /* Generate some randomly sized pubkeys. */ - uint32_t r = secp256k1_rand32(); - size_t len = (r & 3) == 0 ? 65 : 33; - r>>=2; - if ((r & 3) == 0) { - len = (r & 252) >> 3; + size_t len = secp256k1_rand_bits(2) == 0 ? 65 : 33; + if (secp256k1_rand_bits(2) == 0) { + len = secp256k1_rand_bits(6); } - r>>=8; if (len == 65) { - in[0] = (r & 2) ? 4 : ((r & 1)? 6 : 7); + in[0] = secp256k1_rand_bits(1) ? 4 : (secp256k1_rand_bits(1) ? 6 : 7); } else { - in[0] = (r & 1) ? 2 : 3; + in[0] = secp256k1_rand_bits(1) ? 2 : 3; } - r>>=2; - if ((r & 7) == 0) { - in[0] = (r & 2040) >> 3; + if (secp256k1_rand_bits(3) == 0) { + in[0] = secp256k1_rand_bits(8); } - r>>=11; if (len > 1) { secp256k1_rand256(&in[1]); } @@ -1982,7 +3577,7 @@ void test_random_pubkeys(void) { size_t size = len; firstb = in[0]; /* If the pubkey can be parsed, it should round-trip... */ - CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, (len == 33) ? SECP256K1_EC_COMPRESSED : 0)); + CHECK(secp256k1_eckey_pubkey_serialize(&elem, out, &size, len == 33)); CHECK(size == len); CHECK(memcmp(&in[1], &out[1], len-1) == 0); /* ... except for the type of hybrid inputs. */ @@ -1995,7 +3590,7 @@ void test_random_pubkeys(void) { CHECK(secp256k1_eckey_pubkey_parse(&elem2, in, size)); ge_equals_ge(&elem,&elem2); /* Check that the X9.62 hybrid type is checked. */ - in[0] = (r & 1) ? 6 : 7; + in[0] = secp256k1_rand_bits(1) ? 6 : 7; res = secp256k1_eckey_pubkey_parse(&elem2, in, size); if (firstb == 2 || firstb == 3) { if (in[0] == firstb + 4) { @@ -2026,6 +3621,334 @@ void run_ecdsa_end_to_end(void) { } } +int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) { + static const unsigned char zeroes[32] = {0}; +#ifdef ENABLE_OPENSSL_TESTS + static const unsigned char max_scalar[32] = { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, + 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b, + 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40 + }; +#endif + + int ret = 0; + + secp256k1_ecdsa_signature sig_der; + unsigned char roundtrip_der[2048]; + unsigned char compact_der[64]; + size_t len_der = 2048; + int parsed_der = 0, valid_der = 0, roundtrips_der = 0; + + secp256k1_ecdsa_signature sig_der_lax; + unsigned char roundtrip_der_lax[2048]; + unsigned char compact_der_lax[64]; + size_t len_der_lax = 2048; + int parsed_der_lax = 0, valid_der_lax = 0, roundtrips_der_lax = 0; + +#ifdef ENABLE_OPENSSL_TESTS + ECDSA_SIG *sig_openssl; + const unsigned char *sigptr; + unsigned char roundtrip_openssl[2048]; + int len_openssl = 2048; + int parsed_openssl, valid_openssl = 0, roundtrips_openssl = 0; +#endif + + parsed_der = secp256k1_ecdsa_signature_parse_der(ctx, &sig_der, sig, siglen); + if (parsed_der) { + ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der, &sig_der)) << 0; + valid_der = (memcmp(compact_der, zeroes, 32) != 0) && (memcmp(compact_der + 32, zeroes, 32) != 0); + } + if (valid_der) { + ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der, &len_der, &sig_der)) << 1; + roundtrips_der = (len_der == siglen) && memcmp(roundtrip_der, sig, siglen) == 0; + } + + parsed_der_lax = ecdsa_signature_parse_der_lax(ctx, &sig_der_lax, sig, siglen); + if (parsed_der_lax) { + ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der_lax, &sig_der_lax)) << 10; + valid_der_lax = (memcmp(compact_der_lax, zeroes, 32) != 0) && (memcmp(compact_der_lax + 32, zeroes, 32) != 0); + } + if (valid_der_lax) { + ret |= (!secp256k1_ecdsa_signature_serialize_der(ctx, roundtrip_der_lax, &len_der_lax, &sig_der_lax)) << 11; + roundtrips_der_lax = (len_der_lax == siglen) && memcmp(roundtrip_der_lax, sig, siglen) == 0; + } + + if (certainly_der) { + ret |= (!parsed_der) << 2; + } + if (certainly_not_der) { + ret |= (parsed_der) << 17; + } + if (valid_der) { + ret |= (!roundtrips_der) << 3; + } + + if (valid_der) { + ret |= (!roundtrips_der_lax) << 12; + ret |= (len_der != len_der_lax) << 13; + ret |= (memcmp(roundtrip_der_lax, roundtrip_der, len_der) != 0) << 14; + } + ret |= (roundtrips_der != roundtrips_der_lax) << 15; + if (parsed_der) { + ret |= (!parsed_der_lax) << 16; + } + +#ifdef ENABLE_OPENSSL_TESTS + sig_openssl = ECDSA_SIG_new(); + sigptr = sig; + parsed_openssl = (d2i_ECDSA_SIG(&sig_openssl, &sigptr, siglen) != NULL); + if (parsed_openssl) { + valid_openssl = !BN_is_negative(sig_openssl->r) && !BN_is_negative(sig_openssl->s) && BN_num_bits(sig_openssl->r) > 0 && BN_num_bits(sig_openssl->r) <= 256 && BN_num_bits(sig_openssl->s) > 0 && BN_num_bits(sig_openssl->s) <= 256; + if (valid_openssl) { + unsigned char tmp[32] = {0}; + BN_bn2bin(sig_openssl->r, tmp + 32 - BN_num_bytes(sig_openssl->r)); + valid_openssl = memcmp(tmp, max_scalar, 32) < 0; + } + if (valid_openssl) { + unsigned char tmp[32] = {0}; + BN_bn2bin(sig_openssl->s, tmp + 32 - BN_num_bytes(sig_openssl->s)); + valid_openssl = memcmp(tmp, max_scalar, 32) < 0; + } + } + len_openssl = i2d_ECDSA_SIG(sig_openssl, NULL); + if (len_openssl <= 2048) { + unsigned char *ptr = roundtrip_openssl; + CHECK(i2d_ECDSA_SIG(sig_openssl, &ptr) == len_openssl); + roundtrips_openssl = valid_openssl && ((size_t)len_openssl == siglen) && (memcmp(roundtrip_openssl, sig, siglen) == 0); + } else { + len_openssl = 0; + } + ECDSA_SIG_free(sig_openssl); + + ret |= (parsed_der && !parsed_openssl) << 4; + ret |= (valid_der && !valid_openssl) << 5; + ret |= (roundtrips_openssl && !parsed_der) << 6; + ret |= (roundtrips_der != roundtrips_openssl) << 7; + if (roundtrips_openssl) { + ret |= (len_der != (size_t)len_openssl) << 8; + ret |= (memcmp(roundtrip_der, roundtrip_openssl, len_der) != 0) << 9; + } +#endif + return ret; +} + +static void assign_big_endian(unsigned char *ptr, size_t ptrlen, uint32_t val) { + size_t i; + for (i = 0; i < ptrlen; i++) { + int shift = ptrlen - 1 - i; + if (shift >= 4) { + ptr[i] = 0; + } else { + ptr[i] = (val >> shift) & 0xFF; + } + } +} + +static void damage_array(unsigned char *sig, size_t *len) { + int pos; + int action = secp256k1_rand_bits(3); + if (action < 1 && *len > 3) { + /* Delete a byte. */ + pos = secp256k1_rand_int(*len); + memmove(sig + pos, sig + pos + 1, *len - pos - 1); + (*len)--; + return; + } else if (action < 2 && *len < 2048) { + /* Insert a byte. */ + pos = secp256k1_rand_int(1 + *len); + memmove(sig + pos + 1, sig + pos, *len - pos); + sig[pos] = secp256k1_rand_bits(8); + (*len)++; + return; + } else if (action < 4) { + /* Modify a byte. */ + sig[secp256k1_rand_int(*len)] += 1 + secp256k1_rand_int(255); + return; + } else { /* action < 8 */ + /* Modify a bit. */ + sig[secp256k1_rand_int(*len)] ^= 1 << secp256k1_rand_bits(3); + return; + } +} + +static void random_ber_signature(unsigned char *sig, size_t *len, int* certainly_der, int* certainly_not_der) { + int der; + int nlow[2], nlen[2], nlenlen[2], nhbit[2], nhbyte[2], nzlen[2]; + size_t tlen, elen, glen; + int indet; + int n; + + *len = 0; + der = secp256k1_rand_bits(2) == 0; + *certainly_der = der; + *certainly_not_der = 0; + indet = der ? 0 : secp256k1_rand_int(10) == 0; + + for (n = 0; n < 2; n++) { + /* We generate two classes of numbers: nlow==1 "low" ones (up to 32 bytes), nlow==0 "high" ones (32 bytes with 129 top bits set, or larger than 32 bytes) */ + nlow[n] = der ? 1 : (secp256k1_rand_bits(3) != 0); + /* The length of the number in bytes (the first byte of which will always be nonzero) */ + nlen[n] = nlow[n] ? secp256k1_rand_int(33) : 32 + secp256k1_rand_int(200) * secp256k1_rand_int(8) / 8; + CHECK(nlen[n] <= 232); + /* The top bit of the number. */ + nhbit[n] = (nlow[n] == 0 && nlen[n] == 32) ? 1 : (nlen[n] == 0 ? 0 : secp256k1_rand_bits(1)); + /* The top byte of the number (after the potential hardcoded 16 0xFF characters for "high" 32 bytes numbers) */ + nhbyte[n] = nlen[n] == 0 ? 0 : (nhbit[n] ? 128 + secp256k1_rand_bits(7) : 1 + secp256k1_rand_int(127)); + /* The number of zero bytes in front of the number (which is 0 or 1 in case of DER, otherwise we extend up to 300 bytes) */ + nzlen[n] = der ? ((nlen[n] == 0 || nhbit[n]) ? 1 : 0) : (nlow[n] ? secp256k1_rand_int(3) : secp256k1_rand_int(300 - nlen[n]) * secp256k1_rand_int(8) / 8); + if (nzlen[n] > ((nlen[n] == 0 || nhbit[n]) ? 1 : 0)) { + *certainly_not_der = 1; + } + CHECK(nlen[n] + nzlen[n] <= 300); + /* The length of the length descriptor for the number. 0 means short encoding, anything else is long encoding. */ + nlenlen[n] = nlen[n] + nzlen[n] < 128 ? 0 : (nlen[n] + nzlen[n] < 256 ? 1 : 2); + if (!der) { + /* nlenlen[n] max 127 bytes */ + int add = secp256k1_rand_int(127 - nlenlen[n]) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; + nlenlen[n] += add; + if (add != 0) { + *certainly_not_der = 1; + } + } + CHECK(nlen[n] + nzlen[n] + nlenlen[n] <= 427); + } + + /* The total length of the data to go, so far */ + tlen = 2 + nlenlen[0] + nlen[0] + nzlen[0] + 2 + nlenlen[1] + nlen[1] + nzlen[1]; + CHECK(tlen <= 856); + + /* The length of the garbage inside the tuple. */ + elen = (der || indet) ? 0 : secp256k1_rand_int(980 - tlen) * secp256k1_rand_int(8) / 8; + if (elen != 0) { + *certainly_not_der = 1; + } + tlen += elen; + CHECK(tlen <= 980); + + /* The length of the garbage after the end of the tuple. */ + glen = der ? 0 : secp256k1_rand_int(990 - tlen) * secp256k1_rand_int(8) / 8; + if (glen != 0) { + *certainly_not_der = 1; + } + CHECK(tlen + glen <= 990); + + /* Write the tuple header. */ + sig[(*len)++] = 0x30; + if (indet) { + /* Indeterminate length */ + sig[(*len)++] = 0x80; + *certainly_not_der = 1; + } else { + int tlenlen = tlen < 128 ? 0 : (tlen < 256 ? 1 : 2); + if (!der) { + int add = secp256k1_rand_int(127 - tlenlen) * secp256k1_rand_int(16) * secp256k1_rand_int(16) / 256; + tlenlen += add; + if (add != 0) { + *certainly_not_der = 1; + } + } + if (tlenlen == 0) { + /* Short length notation */ + sig[(*len)++] = tlen; + } else { + /* Long length notation */ + sig[(*len)++] = 128 + tlenlen; + assign_big_endian(sig + *len, tlenlen, tlen); + *len += tlenlen; + } + tlen += tlenlen; + } + tlen += 2; + CHECK(tlen + glen <= 1119); + + for (n = 0; n < 2; n++) { + /* Write the integer header. */ + sig[(*len)++] = 0x02; + if (nlenlen[n] == 0) { + /* Short length notation */ + sig[(*len)++] = nlen[n] + nzlen[n]; + } else { + /* Long length notation. */ + sig[(*len)++] = 128 + nlenlen[n]; + assign_big_endian(sig + *len, nlenlen[n], nlen[n] + nzlen[n]); + *len += nlenlen[n]; + } + /* Write zero padding */ + while (nzlen[n] > 0) { + sig[(*len)++] = 0x00; + nzlen[n]--; + } + if (nlen[n] == 32 && !nlow[n]) { + /* Special extra 16 0xFF bytes in "high" 32-byte numbers */ + int i; + for (i = 0; i < 16; i++) { + sig[(*len)++] = 0xFF; + } + nlen[n] -= 16; + } + /* Write first byte of number */ + if (nlen[n] > 0) { + sig[(*len)++] = nhbyte[n]; + nlen[n]--; + } + /* Generate remaining random bytes of number */ + secp256k1_rand_bytes_test(sig + *len, nlen[n]); + *len += nlen[n]; + nlen[n] = 0; + } + + /* Generate random garbage inside tuple. */ + secp256k1_rand_bytes_test(sig + *len, elen); + *len += elen; + + /* Generate end-of-contents bytes. */ + if (indet) { + sig[(*len)++] = 0; + sig[(*len)++] = 0; + tlen += 2; + } + CHECK(tlen + glen <= 1121); + + /* Generate random garbage outside tuple. */ + secp256k1_rand_bytes_test(sig + *len, glen); + *len += glen; + tlen += glen; + CHECK(tlen <= 1121); + CHECK(tlen == *len); +} + +void run_ecdsa_der_parse(void) { + int i,j; + for (i = 0; i < 200 * count; i++) { + unsigned char buffer[2048]; + size_t buflen = 0; + int certainly_der = 0; + int certainly_not_der = 0; + random_ber_signature(buffer, &buflen, &certainly_der, &certainly_not_der); + CHECK(buflen <= 2048); + for (j = 0; j < 16; j++) { + int ret = 0; + if (j > 0) { + damage_array(buffer, &buflen); + /* We don't know anything anymore about the DERness of the result */ + certainly_der = 0; + certainly_not_der = 0; + } + ret = test_ecdsa_der_parse(buffer, buflen, certainly_der, certainly_not_der); + if (ret != 0) { + size_t k; + fprintf(stderr, "Failure %x on ", ret); + for (k = 0; k < buflen; k++) { + fprintf(stderr, "%02x ", buffer[k]); + } + fprintf(stderr, "\n"); + } + CHECK(ret == 0); + } + } +} + /* Tests several edge cases. */ void test_ecdsa_edge_cases(void) { int t; @@ -2047,11 +3970,159 @@ void test_ecdsa_edge_cases(void) { CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); } - /*Signature where s would be zero.*/ + /* Verify signature with r of zero fails. */ { - unsigned char signature[72]; + const unsigned char pubkey_mods_zero[33] = { + 0x02, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xfe, 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, + 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, + 0x41 + }; + secp256k1_ge key; + secp256k1_scalar msg; + secp256k1_scalar sr, ss; + secp256k1_scalar_set_int(&ss, 1); + secp256k1_scalar_set_int(&msg, 0); + secp256k1_scalar_set_int(&sr, 0); + CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33)); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + } + + /* Verify signature with s of zero fails. */ + { + const unsigned char pubkey[33] = { + 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x01 + }; + secp256k1_ge key; + secp256k1_scalar msg; + secp256k1_scalar sr, ss; + secp256k1_scalar_set_int(&ss, 0); + secp256k1_scalar_set_int(&msg, 0); + secp256k1_scalar_set_int(&sr, 1); + CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + } + + /* Verify signature with message 0 passes. */ + { + const unsigned char pubkey[33] = { + 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x02 + }; + const unsigned char pubkey2[33] = { + 0x02, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xfe, 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, + 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, + 0x43 + }; + secp256k1_ge key; + secp256k1_ge key2; + secp256k1_scalar msg; + secp256k1_scalar sr, ss; + secp256k1_scalar_set_int(&ss, 2); + secp256k1_scalar_set_int(&msg, 0); + secp256k1_scalar_set_int(&sr, 2); + CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); + CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + secp256k1_scalar_negate(&ss, &ss); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + secp256k1_scalar_set_int(&ss, 1); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + } + + /* Verify signature with message 1 passes. */ + { + const unsigned char pubkey[33] = { + 0x02, 0x14, 0x4e, 0x5a, 0x58, 0xef, 0x5b, 0x22, + 0x6f, 0xd2, 0xe2, 0x07, 0x6a, 0x77, 0xcf, 0x05, + 0xb4, 0x1d, 0xe7, 0x4a, 0x30, 0x98, 0x27, 0x8c, + 0x93, 0xe6, 0xe6, 0x3c, 0x0b, 0xc4, 0x73, 0x76, + 0x25 + }; + const unsigned char pubkey2[33] = { + 0x02, 0x8a, 0xd5, 0x37, 0xed, 0x73, 0xd9, 0x40, + 0x1d, 0xa0, 0x33, 0xd2, 0xdc, 0xf0, 0xaf, 0xae, + 0x34, 0xcf, 0x5f, 0x96, 0x4c, 0x73, 0x28, 0x0f, + 0x92, 0xc0, 0xf6, 0x9d, 0xd9, 0xb2, 0x09, 0x10, + 0x62 + }; + const unsigned char csr[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + 0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4, + 0x40, 0x2d, 0xa1, 0x72, 0x2f, 0xc9, 0xba, 0xeb + }; + secp256k1_ge key; + secp256k1_ge key2; + secp256k1_scalar msg; + secp256k1_scalar sr, ss; + secp256k1_scalar_set_int(&ss, 1); + secp256k1_scalar_set_int(&msg, 1); + secp256k1_scalar_set_b32(&sr, csr, NULL); + CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); + CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + secp256k1_scalar_negate(&ss, &ss); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + secp256k1_scalar_set_int(&ss, 2); + secp256k1_scalar_inverse_var(&ss, &ss); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + } + + /* Verify signature with message -1 passes. */ + { + const unsigned char pubkey[33] = { + 0x03, 0xaf, 0x97, 0xff, 0x7d, 0x3a, 0xf6, 0xa0, + 0x02, 0x94, 0xbd, 0x9f, 0x4b, 0x2e, 0xd7, 0x52, + 0x28, 0xdb, 0x49, 0x2a, 0x65, 0xcb, 0x1e, 0x27, + 0x57, 0x9c, 0xba, 0x74, 0x20, 0xd5, 0x1d, 0x20, + 0xf1 + }; + const unsigned char csr[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, + 0x45, 0x51, 0x23, 0x19, 0x50, 0xb7, 0x5f, 0xc4, + 0x40, 0x2d, 0xa1, 0x72, 0x2f, 0xc9, 0xba, 0xee + }; + secp256k1_ge key; + secp256k1_scalar msg; + secp256k1_scalar sr, ss; + secp256k1_scalar_set_int(&ss, 1); + secp256k1_scalar_set_int(&msg, 1); + secp256k1_scalar_negate(&msg, &msg); + secp256k1_scalar_set_b32(&sr, csr, NULL); + CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + secp256k1_scalar_negate(&ss, &ss); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + secp256k1_scalar_set_int(&ss, 3); + secp256k1_scalar_inverse_var(&ss, &ss); + CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + } + + /* Signature where s would be zero. */ + { + secp256k1_pubkey pubkey; size_t siglen; - const unsigned char nonce[32] = { + int32_t ecount; + unsigned char signature[72]; + static const unsigned char nonce[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, @@ -2075,15 +4146,72 @@ void test_ecdsa_edge_cases(void) { 0xb8, 0x12, 0xe0, 0x0b, 0x81, 0x7a, 0x77, 0x62, 0x65, 0xdf, 0xdd, 0x31, 0xb9, 0x3e, 0x29, 0xa9, }; + ecount = 0; + secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount); CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 0); CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 0); msg[31] = 0xaa; CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_ecdsa_sign(ctx, NULL, msg, key, precomputed_nonce_function, nonce2) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_sign(ctx, &sig, NULL, key, precomputed_nonce_function, nonce2) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, NULL, precomputed_nonce_function, nonce2) == 0); + CHECK(ecount == 3); CHECK(secp256k1_ecdsa_sign(ctx, &sig, msg, key, precomputed_nonce_function, nonce2) == 1); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, key) == 1); + CHECK(secp256k1_ecdsa_verify(ctx, NULL, msg, &pubkey) == 0); + CHECK(ecount == 4); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, NULL, &pubkey) == 0); + CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, NULL) == 0); + CHECK(ecount == 6); + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 1); + CHECK(ecount == 6); + CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, NULL) == 0); + CHECK(ecount == 7); + /* That pubkeyload fails via an ARGCHECK is a little odd but makes sense because pubkeys are an opaque data type. */ + CHECK(secp256k1_ecdsa_verify(ctx, &sig, msg, &pubkey) == 0); + CHECK(ecount == 8); siglen = 72; + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, NULL, &siglen, &sig) == 0); + CHECK(ecount == 9); + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, NULL, &sig) == 0); + CHECK(ecount == 10); + CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, NULL) == 0); + CHECK(ecount == 11); CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 1); + CHECK(ecount == 11); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, NULL, signature, siglen) == 0); + CHECK(ecount == 12); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, NULL, siglen) == 0); + CHECK(ecount == 13); + CHECK(secp256k1_ecdsa_signature_parse_der(ctx, &sig, signature, siglen) == 1); + CHECK(ecount == 13); siglen = 10; + /* Too little room for a signature does not fail via ARGCHECK. */ CHECK(secp256k1_ecdsa_signature_serialize_der(ctx, signature, &siglen, &sig) == 0); + CHECK(ecount == 13); + ecount = 0; + CHECK(secp256k1_ecdsa_signature_normalize(ctx, NULL, NULL) == 0); + CHECK(ecount == 1); + CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, NULL, &sig) == 0); + CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, NULL) == 0); + CHECK(ecount == 3); + CHECK(secp256k1_ecdsa_signature_serialize_compact(ctx, signature, &sig) == 1); + CHECK(ecount == 3); + CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, NULL, signature) == 0); + CHECK(ecount == 4); + CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, NULL) == 0); + CHECK(ecount == 5); + CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 1); + CHECK(ecount == 5); + memset(signature, 255, 64); + CHECK(secp256k1_ecdsa_signature_parse_compact(ctx, &sig, signature) == 0); + CHECK(ecount == 5); + secp256k1_context_set_illegal_callback(ctx, NULL, NULL); } /* Nonce function corner cases. */ @@ -2116,7 +4244,7 @@ void test_ecdsa_edge_cases(void) { CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, nonce_function_rfc6979, extra) == 1); CHECK(!is_empty_signature(&sig2)); CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); - /* The default nonce function is determinstic. */ + /* The default nonce function is deterministic. */ CHECK(secp256k1_ecdsa_sign(ctx, &sig2, msg, key, NULL, extra) == 1); CHECK(!is_empty_signature(&sig2)); CHECK(memcmp(&sig, &sig2, sizeof(sig)) == 0); @@ -2147,6 +4275,34 @@ void test_ecdsa_edge_cases(void) { key[0] = 0; } + { + /* Check that optional nonce arguments do not have equivalent effect. */ + const unsigned char zeros[32] = {0}; + unsigned char nonce[32]; + unsigned char nonce2[32]; + unsigned char nonce3[32]; + unsigned char nonce4[32]; + VG_UNDEF(nonce,32); + VG_UNDEF(nonce2,32); + VG_UNDEF(nonce3,32); + VG_UNDEF(nonce4,32); + CHECK(nonce_function_rfc6979(nonce, zeros, zeros, NULL, NULL, 0) == 1); + VG_CHECK(nonce,32); + CHECK(nonce_function_rfc6979(nonce2, zeros, zeros, zeros, NULL, 0) == 1); + VG_CHECK(nonce2,32); + CHECK(nonce_function_rfc6979(nonce3, zeros, zeros, NULL, (void *)zeros, 0) == 1); + VG_CHECK(nonce3,32); + CHECK(nonce_function_rfc6979(nonce4, zeros, zeros, zeros, (void *)zeros, 0) == 1); + VG_CHECK(nonce4,32); + CHECK(memcmp(nonce, nonce2, 32) != 0); + CHECK(memcmp(nonce, nonce3, 32) != 0); + CHECK(memcmp(nonce, nonce4, 32) != 0); + CHECK(memcmp(nonce2, nonce3, 32) != 0); + CHECK(memcmp(nonce2, nonce4, 32) != 0); + CHECK(memcmp(nonce3, nonce4, 32) != 0); + } + + /* Privkey export where pubkey is the point at infinity. */ { unsigned char privkey[300]; @@ -2157,9 +4313,9 @@ void test_ecdsa_edge_cases(void) { 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x41, }; size_t outlen = 300; - CHECK(!secp256k1_ec_privkey_export(ctx, privkey, &outlen, seckey, 0)); + CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 0)); outlen = 300; - CHECK(!secp256k1_ec_privkey_export(ctx, privkey, &outlen, seckey, SECP256K1_EC_COMPRESSED)); + CHECK(!ec_privkey_export_der(ctx, privkey, &outlen, seckey, 1)); } } @@ -2168,13 +4324,13 @@ void run_ecdsa_edge_cases(void) { } #ifdef ENABLE_OPENSSL_TESTS -EC_KEY *get_openssl_key(const secp256k1_scalar *key) { +EC_KEY *get_openssl_key(const unsigned char *key32) { unsigned char privkey[300]; size_t privkeylen; const unsigned char* pbegin = privkey; - int compr = secp256k1_rand32() & 1; + int compr = secp256k1_rand_bits(1); EC_KEY *ec_key = EC_KEY_new_by_curve_name(NID_secp256k1); - CHECK(secp256k1_eckey_privkey_serialize(&ctx->ecmult_gen_ctx, privkey, &privkeylen, key, compr ? SECP256K1_EC_COMPRESSED : 0)); + CHECK(ec_privkey_export_der(ctx, privkey, &privkeylen, key32, compr)); CHECK(d2i_ECPrivateKey(&ec_key, &pbegin, privkeylen)); CHECK(EC_KEY_check_key(ec_key)); return ec_key; @@ -2192,12 +4348,14 @@ void test_ecdsa_openssl(void) { size_t secp_sigsize = 80; unsigned char message[32]; unsigned char signature[80]; + unsigned char key32[32]; secp256k1_rand256_test(message); secp256k1_scalar_set_b32(&msg, message, NULL); random_scalar_order_test(&key); + secp256k1_scalar_get_b32(key32, &key); secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &qj, &key); secp256k1_ge_set_gej(&q, &qj); - ec_key = get_openssl_key(&key); + ec_key = get_openssl_key(key32); CHECK(ec_key != NULL); CHECK(ECDSA_sign(0, message, sizeof(message), signature, &sigsize, ec_key)); CHECK(secp256k1_ecdsa_sig_parse(&sigr, &sigs, signature, sigsize)); @@ -2278,12 +4436,14 @@ int main(int argc, char **argv) { /* initialize */ run_context_tests(); ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); - - if (secp256k1_rand32() & 1) { + if (secp256k1_rand_bits(1)) { secp256k1_rand256(run32); - CHECK(secp256k1_context_randomize(ctx, (secp256k1_rand32() & 1) ? run32 : NULL)); + CHECK(secp256k1_context_randomize(ctx, secp256k1_rand_bits(1) ? run32 : NULL)); } + run_rand_bits(); + run_rand_int(); + run_sha256_tests(); run_hmac_sha256_tests(); run_rfc6979_hmac_sha256_tests(); @@ -2307,6 +4467,7 @@ int main(int argc, char **argv) { /* group tests */ run_ge(); + run_group_decompress(); /* ecmult tests */ run_wnaf(); @@ -2322,6 +4483,12 @@ int main(int argc, char **argv) { run_endomorphism_tests(); #endif + /* EC point parser test */ + run_ec_pubkey_parse_test(); + + /* EC key edge cases */ + run_eckey_edge_case_test(); + #ifdef ENABLE_MODULE_ECDH /* ecdh tests */ run_ecdh_tests(); @@ -2329,6 +4496,7 @@ int main(int argc, char **argv) { /* ecdsa tests */ run_random_pubkeys(); + run_ecdsa_der_parse(); run_ecdsa_sign_verify(); run_ecdsa_end_to_end(); run_ecdsa_edge_cases(); diff --git a/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c b/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c new file mode 100644 index 000000000..b040bb073 --- /dev/null +++ b/crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c @@ -0,0 +1,470 @@ +/*********************************************************************** + * Copyright (c) 2016 Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or http://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#if defined HAVE_CONFIG_H +#include "libsecp256k1-config.h" +#endif + +#include <stdio.h> +#include <stdlib.h> + +#include <time.h> + +#undef USE_ECMULT_STATIC_PRECOMPUTATION + +#ifndef EXHAUSTIVE_TEST_ORDER +/* see group_impl.h for allowable values */ +#define EXHAUSTIVE_TEST_ORDER 13 +#define EXHAUSTIVE_TEST_LAMBDA 9 /* cube root of 1 mod 13 */ +#endif + +#include "include/secp256k1.h" +#include "group.h" +#include "secp256k1.c" +#include "testrand_impl.h" + +#ifdef ENABLE_MODULE_RECOVERY +#include "src/modules/recovery/main_impl.h" +#include "include/secp256k1_recovery.h" +#endif + +/** stolen from tests.c */ +void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) { + CHECK(a->infinity == b->infinity); + if (a->infinity) { + return; + } + CHECK(secp256k1_fe_equal_var(&a->x, &b->x)); + CHECK(secp256k1_fe_equal_var(&a->y, &b->y)); +} + +void ge_equals_gej(const secp256k1_ge *a, const secp256k1_gej *b) { + secp256k1_fe z2s; + secp256k1_fe u1, u2, s1, s2; + CHECK(a->infinity == b->infinity); + if (a->infinity) { + return; + } + /* Check a.x * b.z^2 == b.x && a.y * b.z^3 == b.y, to avoid inverses. */ + secp256k1_fe_sqr(&z2s, &b->z); + secp256k1_fe_mul(&u1, &a->x, &z2s); + u2 = b->x; secp256k1_fe_normalize_weak(&u2); + secp256k1_fe_mul(&s1, &a->y, &z2s); secp256k1_fe_mul(&s1, &s1, &b->z); + s2 = b->y; secp256k1_fe_normalize_weak(&s2); + CHECK(secp256k1_fe_equal_var(&u1, &u2)); + CHECK(secp256k1_fe_equal_var(&s1, &s2)); +} + +void random_fe(secp256k1_fe *x) { + unsigned char bin[32]; + do { + secp256k1_rand256(bin); + if (secp256k1_fe_set_b32(x, bin)) { + return; + } + } while(1); +} +/** END stolen from tests.c */ + +int secp256k1_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32, + const unsigned char *key32, const unsigned char *algo16, + void *data, unsigned int attempt) { + secp256k1_scalar s; + int *idata = data; + (void)msg32; + (void)key32; + (void)algo16; + /* Some nonces cannot be used because they'd cause s and/or r to be zero. + * The signing function has retry logic here that just re-calls the nonce + * function with an increased `attempt`. So if attempt > 0 this means we + * need to change the nonce to avoid an infinite loop. */ + if (attempt > 0) { + *idata = (*idata + 1) % EXHAUSTIVE_TEST_ORDER; + } + secp256k1_scalar_set_int(&s, *idata); + secp256k1_scalar_get_b32(nonce32, &s); + return 1; +} + +#ifdef USE_ENDOMORPHISM +void test_exhaustive_endomorphism(const secp256k1_ge *group, int order) { + int i; + for (i = 0; i < order; i++) { + secp256k1_ge res; + secp256k1_ge_mul_lambda(&res, &group[i]); + ge_equals_ge(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res); + } +} +#endif + +void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj, int order) { + int i, j; + + /* Sanity-check (and check infinity functions) */ + CHECK(secp256k1_ge_is_infinity(&group[0])); + CHECK(secp256k1_gej_is_infinity(&groupj[0])); + for (i = 1; i < order; i++) { + CHECK(!secp256k1_ge_is_infinity(&group[i])); + CHECK(!secp256k1_gej_is_infinity(&groupj[i])); + } + + /* Check all addition formulae */ + for (j = 0; j < order; j++) { + secp256k1_fe fe_inv; + secp256k1_fe_inv(&fe_inv, &groupj[j].z); + for (i = 0; i < order; i++) { + secp256k1_ge zless_gej; + secp256k1_gej tmp; + /* add_var */ + secp256k1_gej_add_var(&tmp, &groupj[i], &groupj[j], NULL); + ge_equals_gej(&group[(i + j) % order], &tmp); + /* add_ge */ + if (j > 0) { + secp256k1_gej_add_ge(&tmp, &groupj[i], &group[j]); + ge_equals_gej(&group[(i + j) % order], &tmp); + } + /* add_ge_var */ + secp256k1_gej_add_ge_var(&tmp, &groupj[i], &group[j], NULL); + ge_equals_gej(&group[(i + j) % order], &tmp); + /* add_zinv_var */ + zless_gej.infinity = groupj[j].infinity; + zless_gej.x = groupj[j].x; + zless_gej.y = groupj[j].y; + secp256k1_gej_add_zinv_var(&tmp, &groupj[i], &zless_gej, &fe_inv); + ge_equals_gej(&group[(i + j) % order], &tmp); + } + } + + /* Check doubling */ + for (i = 0; i < order; i++) { + secp256k1_gej tmp; + if (i > 0) { + secp256k1_gej_double_nonzero(&tmp, &groupj[i], NULL); + ge_equals_gej(&group[(2 * i) % order], &tmp); + } + secp256k1_gej_double_var(&tmp, &groupj[i], NULL); + ge_equals_gej(&group[(2 * i) % order], &tmp); + } + + /* Check negation */ + for (i = 1; i < order; i++) { + secp256k1_ge tmp; + secp256k1_gej tmpj; + secp256k1_ge_neg(&tmp, &group[i]); + ge_equals_ge(&group[order - i], &tmp); + secp256k1_gej_neg(&tmpj, &groupj[i]); + ge_equals_gej(&group[order - i], &tmpj); + } +} + +void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *group, const secp256k1_gej *groupj, int order) { + int i, j, r_log; + for (r_log = 1; r_log < order; r_log++) { + for (j = 0; j < order; j++) { + for (i = 0; i < order; i++) { + secp256k1_gej tmp; + secp256k1_scalar na, ng; + secp256k1_scalar_set_int(&na, i); + secp256k1_scalar_set_int(&ng, j); + + secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &groupj[r_log], &na, &ng); + ge_equals_gej(&group[(i * r_log + j) % order], &tmp); + + if (i > 0) { + secp256k1_ecmult_const(&tmp, &group[i], &ng); + ge_equals_gej(&group[(i * j) % order], &tmp); + } + } + } + } +} + +void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k) { + secp256k1_fe x; + unsigned char x_bin[32]; + k %= EXHAUSTIVE_TEST_ORDER; + x = group[k].x; + secp256k1_fe_normalize(&x); + secp256k1_fe_get_b32(x_bin, &x); + secp256k1_scalar_set_b32(r, x_bin, NULL); +} + +void test_exhaustive_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { + int s, r, msg, key; + for (s = 1; s < order; s++) { + for (r = 1; r < order; r++) { + for (msg = 1; msg < order; msg++) { + for (key = 1; key < order; key++) { + secp256k1_ge nonconst_ge; + secp256k1_ecdsa_signature sig; + secp256k1_pubkey pk; + secp256k1_scalar sk_s, msg_s, r_s, s_s; + secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s; + int k, should_verify; + unsigned char msg32[32]; + + secp256k1_scalar_set_int(&s_s, s); + secp256k1_scalar_set_int(&r_s, r); + secp256k1_scalar_set_int(&msg_s, msg); + secp256k1_scalar_set_int(&sk_s, key); + + /* Verify by hand */ + /* Run through every k value that gives us this r and check that *one* works. + * Note there could be none, there could be multiple, ECDSA is weird. */ + should_verify = 0; + for (k = 0; k < order; k++) { + secp256k1_scalar check_x_s; + r_from_k(&check_x_s, group, k); + if (r_s == check_x_s) { + secp256k1_scalar_set_int(&s_times_k_s, k); + secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s); + secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s); + secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s); + should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s); + } + } + /* nb we have a "high s" rule */ + should_verify &= !secp256k1_scalar_is_high(&s_s); + + /* Verify by calling verify */ + secp256k1_ecdsa_signature_save(&sig, &r_s, &s_s); + memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge)); + secp256k1_pubkey_save(&pk, &nonconst_ge); + secp256k1_scalar_get_b32(msg32, &msg_s); + CHECK(should_verify == + secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk)); + } + } + } + } +} + +void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { + int i, j, k; + + /* Loop */ + for (i = 1; i < order; i++) { /* message */ + for (j = 1; j < order; j++) { /* key */ + for (k = 1; k < order; k++) { /* nonce */ + const int starting_k = k; + secp256k1_ecdsa_signature sig; + secp256k1_scalar sk, msg, r, s, expected_r; + unsigned char sk32[32], msg32[32]; + secp256k1_scalar_set_int(&msg, i); + secp256k1_scalar_set_int(&sk, j); + secp256k1_scalar_get_b32(sk32, &sk); + secp256k1_scalar_get_b32(msg32, &msg); + + secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k); + + secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig); + /* Note that we compute expected_r *after* signing -- this is important + * because our nonce-computing function function might change k during + * signing. */ + r_from_k(&expected_r, group, k); + CHECK(r == expected_r); + CHECK((k * s) % order == (i + r * j) % order || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); + + /* Overflow means we've tried every possible nonce */ + if (k < starting_k) { + break; + } + } + } + } + + /* We would like to verify zero-knowledge here by counting how often every + * possible (s, r) tuple appears, but because the group order is larger + * than the field order, when coercing the x-values to scalar values, some + * appear more often than others, so we are actually not zero-knowledge. + * (This effect also appears in the real code, but the difference is on the + * order of 1/2^128th the field order, so the deviation is not useful to a + * computationally bounded attacker.) + */ +} + +#ifdef ENABLE_MODULE_RECOVERY +void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { + int i, j, k; + + /* Loop */ + for (i = 1; i < order; i++) { /* message */ + for (j = 1; j < order; j++) { /* key */ + for (k = 1; k < order; k++) { /* nonce */ + const int starting_k = k; + secp256k1_fe r_dot_y_normalized; + secp256k1_ecdsa_recoverable_signature rsig; + secp256k1_ecdsa_signature sig; + secp256k1_scalar sk, msg, r, s, expected_r; + unsigned char sk32[32], msg32[32]; + int expected_recid; + int recid; + secp256k1_scalar_set_int(&msg, i); + secp256k1_scalar_set_int(&sk, j); + secp256k1_scalar_get_b32(sk32, &sk); + secp256k1_scalar_get_b32(msg32, &msg); + + secp256k1_ecdsa_sign_recoverable(ctx, &rsig, msg32, sk32, secp256k1_nonce_function_smallint, &k); + + /* Check directly */ + secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, &rsig); + r_from_k(&expected_r, group, k); + CHECK(r == expected_r); + CHECK((k * s) % order == (i + r * j) % order || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); + /* In computing the recid, there is an overflow condition that is disabled in + * scalar_low_impl.h `secp256k1_scalar_set_b32` because almost every r.y value + * will exceed the group order, and our signing code always holds out for r + * values that don't overflow, so with a proper overflow check the tests would + * loop indefinitely. */ + r_dot_y_normalized = group[k].y; + secp256k1_fe_normalize(&r_dot_y_normalized); + /* Also the recovery id is flipped depending if we hit the low-s branch */ + if ((k * s) % order == (i + r * j) % order) { + expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 1 : 0; + } else { + expected_recid = secp256k1_fe_is_odd(&r_dot_y_normalized) ? 0 : 1; + } + CHECK(recid == expected_recid); + + /* Convert to a standard sig then check */ + secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); + secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig); + /* Note that we compute expected_r *after* signing -- this is important + * because our nonce-computing function function might change k during + * signing. */ + r_from_k(&expected_r, group, k); + CHECK(r == expected_r); + CHECK((k * s) % order == (i + r * j) % order || + (k * (EXHAUSTIVE_TEST_ORDER - s)) % order == (i + r * j) % order); + + /* Overflow means we've tried every possible nonce */ + if (k < starting_k) { + break; + } + } + } + } +} + +void test_exhaustive_recovery_verify(const secp256k1_context *ctx, const secp256k1_ge *group, int order) { + /* This is essentially a copy of test_exhaustive_verify, with recovery added */ + int s, r, msg, key; + for (s = 1; s < order; s++) { + for (r = 1; r < order; r++) { + for (msg = 1; msg < order; msg++) { + for (key = 1; key < order; key++) { + secp256k1_ge nonconst_ge; + secp256k1_ecdsa_recoverable_signature rsig; + secp256k1_ecdsa_signature sig; + secp256k1_pubkey pk; + secp256k1_scalar sk_s, msg_s, r_s, s_s; + secp256k1_scalar s_times_k_s, msg_plus_r_times_sk_s; + int recid = 0; + int k, should_verify; + unsigned char msg32[32]; + + secp256k1_scalar_set_int(&s_s, s); + secp256k1_scalar_set_int(&r_s, r); + secp256k1_scalar_set_int(&msg_s, msg); + secp256k1_scalar_set_int(&sk_s, key); + secp256k1_scalar_get_b32(msg32, &msg_s); + + /* Verify by hand */ + /* Run through every k value that gives us this r and check that *one* works. + * Note there could be none, there could be multiple, ECDSA is weird. */ + should_verify = 0; + for (k = 0; k < order; k++) { + secp256k1_scalar check_x_s; + r_from_k(&check_x_s, group, k); + if (r_s == check_x_s) { + secp256k1_scalar_set_int(&s_times_k_s, k); + secp256k1_scalar_mul(&s_times_k_s, &s_times_k_s, &s_s); + secp256k1_scalar_mul(&msg_plus_r_times_sk_s, &r_s, &sk_s); + secp256k1_scalar_add(&msg_plus_r_times_sk_s, &msg_plus_r_times_sk_s, &msg_s); + should_verify |= secp256k1_scalar_eq(&s_times_k_s, &msg_plus_r_times_sk_s); + } + } + /* nb we have a "high s" rule */ + should_verify &= !secp256k1_scalar_is_high(&s_s); + + /* We would like to try recovering the pubkey and checking that it matches, + * but pubkey recovery is impossible in the exhaustive tests (the reason + * being that there are 12 nonzero r values, 12 nonzero points, and no + * overlap between the sets, so there are no valid signatures). */ + + /* Verify by converting to a standard signature and calling verify */ + secp256k1_ecdsa_recoverable_signature_save(&rsig, &r_s, &s_s, recid); + secp256k1_ecdsa_recoverable_signature_convert(ctx, &sig, &rsig); + memcpy(&nonconst_ge, &group[sk_s], sizeof(nonconst_ge)); + secp256k1_pubkey_save(&pk, &nonconst_ge); + CHECK(should_verify == + secp256k1_ecdsa_verify(ctx, &sig, msg32, &pk)); + } + } + } + } +} +#endif + +int main(void) { + int i; + secp256k1_gej groupj[EXHAUSTIVE_TEST_ORDER]; + secp256k1_ge group[EXHAUSTIVE_TEST_ORDER]; + + /* Build context */ + secp256k1_context *ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); + + /* TODO set z = 1, then do num_tests runs with random z values */ + + /* Generate the entire group */ + secp256k1_gej_set_infinity(&groupj[0]); + secp256k1_ge_set_gej(&group[0], &groupj[0]); + for (i = 1; i < EXHAUSTIVE_TEST_ORDER; i++) { + /* Set a different random z-value for each Jacobian point */ + secp256k1_fe z; + random_fe(&z); + + secp256k1_gej_add_ge(&groupj[i], &groupj[i - 1], &secp256k1_ge_const_g); + secp256k1_ge_set_gej(&group[i], &groupj[i]); + secp256k1_gej_rescale(&groupj[i], &z); + + /* Verify against ecmult_gen */ + { + secp256k1_scalar scalar_i; + secp256k1_gej generatedj; + secp256k1_ge generated; + + secp256k1_scalar_set_int(&scalar_i, i); + secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &generatedj, &scalar_i); + secp256k1_ge_set_gej(&generated, &generatedj); + + CHECK(group[i].infinity == 0); + CHECK(generated.infinity == 0); + CHECK(secp256k1_fe_equal_var(&generated.x, &group[i].x)); + CHECK(secp256k1_fe_equal_var(&generated.y, &group[i].y)); + } + } + + /* Run the tests */ +#ifdef USE_ENDOMORPHISM + test_exhaustive_endomorphism(group, EXHAUSTIVE_TEST_ORDER); +#endif + test_exhaustive_addition(group, groupj, EXHAUSTIVE_TEST_ORDER); + test_exhaustive_ecmult(ctx, group, groupj, EXHAUSTIVE_TEST_ORDER); + test_exhaustive_sign(ctx, group, EXHAUSTIVE_TEST_ORDER); + test_exhaustive_verify(ctx, group, EXHAUSTIVE_TEST_ORDER); + +#ifdef ENABLE_MODULE_RECOVERY + test_exhaustive_recovery_sign(ctx, group, EXHAUSTIVE_TEST_ORDER); + test_exhaustive_recovery_verify(ctx, group, EXHAUSTIVE_TEST_ORDER); +#endif + + secp256k1_context_destroy(ctx); + return 0; +} + diff --git a/crypto/secp256k1/libsecp256k1/src/util.h b/crypto/secp256k1/libsecp256k1/src/util.h index 4eef4ded4..4092a86c9 100644 --- a/crypto/secp256k1/libsecp256k1/src/util.h +++ b/crypto/secp256k1/libsecp256k1/src/util.h @@ -57,7 +57,10 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback * #endif /* Like assert(), but when VERIFY is defined, and side-effect safe. */ -#ifdef VERIFY +#if defined(COVERAGE) +#define VERIFY_CHECK(check) +#define VERIFY_SETUP(stmt) +#elif defined(VERIFY) #define VERIFY_CHECK CHECK #define VERIFY_SETUP(stmt) do { stmt; } while(0) #else diff --git a/crypto/secp256k1/notes.go b/crypto/secp256k1/notes.go deleted file mode 100644 index 49fcf8e2d..000000000 --- a/crypto/secp256k1/notes.go +++ /dev/null @@ -1,208 +0,0 @@ -// Copyright 2015 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>. - -package secp256k1 - -/* -<HaltingState> sipa, int secp256k1_ecdsa_pubkey_create(unsigned char *pubkey, int *pubkeylen, const unsigned char *seckey, int compressed); -<HaltingState> is that how i generate private/public keys? -<sipa> HaltingState: you pass in a random 32-byte string as seckey -<sipa> HaltingState: if it is valid, the corresponding pubkey is put in pubkey -<sipa> and true is returned -<sipa> otherwise, false is returned -<sipa> around 1 in 2^128 32-byte strings are invalid, so the odds of even ever seeing one is extremely rare - -<sipa> private keys are mathematically numbers -<sipa> each has a corresponding point on the curve as public key -<sipa> a private key is just a number -<sipa> a public key is a point with x/y coordinates -<sipa> almost every 256-bit number is a valid private key (one with a point on the curve corresponding to it) -<sipa> HaltingState: ok? - -<sipa> more than half of random points are not on the curve -<sipa> and actually, it is less than the square root, not less than half, sorry :) -!!! -<sipa> a private key is a NUMBER -<sipa> a public key is a POINT -<gmaxwell> half the x,y values in the field are not on the curve, a private key is an integer. - -<sipa> HaltingState: yes, n,q = private keys; N,Q = corresponding public keys (N=n*G, Q=q*G); then it follows that n*Q = n*q*G = q*n*G = q*N -<sipa> that's the reason ECDH works -<sipa> multiplication is associative and commutativ -*/ - -/* -<HaltingState> sipa, ok; i am doing compact signatures and I want to know; can someone change the signature to get another valid signature for same message without the private key -<HaltingState> because i know they can do that for the normal 72 byte signatures that openssl was putting out -<sipa> HaltingState: if you don't enforce non-malleability, yes -<sipa> HaltingState: if you force the highest bit of t - -<sipa> it _creates_ signatures that already satisfy that condition -<sipa> but it will accept ones that don't -<sipa> maybe i should change that, and be strict -<HaltingState> yes; i want some way to know signature is valid but fails malleability -<sipa> well if the highest bit of S is 1, you can take its complement -<sipa> and end up with a valid signature -<sipa> that is canonical -*/ - -/* - -<HaltingState> sipa, I am signing messages and highest bit of the compact signature is 1!!! -<HaltingState> if (b & 0x80) == 0x80 { -<HaltingState> log.Panic("b= %v b2= %v \n", b, b&0x80) -<HaltingState> } -<sipa> what bit? -* Pengoo has quit (Ping timeout: 272 seconds) -<HaltingState> the highest bit of the first byte of signature -<sipa> it's the highest bit of S -<sipa> so the 32nd byte -<HaltingState> wtf - -*/ - -/* - For instance, nonces are used in HTTP digest access authentication to calculate an MD5 digest - of the password. The nonces are different each time the 401 authentication challenge - response code is presented, thus making replay attacks virtually impossible. - -can verify client/server match without sending password over network -*/ - -/* -<hanihani> one thing I dont get about armory for instance, -is how the hot-wallet can generate new addresses without -knowing the master key -*/ - -/* -<HaltingState> i am yelling at the telehash people for using secp256r1 -instead of secp256k1; they thing r1 is "more secure" despite fact that -there is no implementation that works and wrapping it is now taking -up massive time, lol -<gmaxwell> ... - -<gmaxwell> You know that the *r curves are selected via an undisclosed -secret process, right? -<gmaxwell> HaltingState: telehash is offtopic for this channel. -*/ -/* - For instance, nonces are used in HTTP digest access authentication to calculate an MD5 digest - of the password. The nonces are different each time the 401 authentication challenge - response code is presented, thus making replay attacks virtually impossible. - -can verify client/server match without sending password over network -*/ - -/* -void secp256k1_start(void); -void secp256k1_stop(void); - - * Verify an ECDSA signature. - * Returns: 1: correct signature - * 0: incorrect signature - * -1: invalid public key - * -2: invalid signature - * -int secp256k1_ecdsa_verify(const unsigned char *msg, int msglen, - const unsigned char *sig, int siglen, - const unsigned char *pubkey, int pubkeylen); - -http://www.nilsschneider.net/2013/01/28/recovering-bitcoin-private-keys.html - -Why did this work? ECDSA requires a random number for each signature. If this random -number is ever used twice with the same private key it can be recovered. -This transaction was generated by a hardware bitcoin wallet using a pseudo-random number -generator that was returning the same “random” number every time. - -Nonce is 32 bytes? - - * Create an ECDSA signature. - * Returns: 1: signature created - * 0: nonce invalid, try another one - * In: msg: the message being signed - * msglen: the length of the message being signed - * seckey: pointer to a 32-byte secret key (assumed to be valid) - * nonce: pointer to a 32-byte nonce (generated with a cryptographic PRNG) - * Out: sig: pointer to a 72-byte array where the signature will be placed. - * siglen: pointer to an int, which will be updated to the signature length (<=72). - * -int secp256k1_ecdsa_sign(const unsigned char *msg, int msglen, - unsigned char *sig, int *siglen, - const unsigned char *seckey, - const unsigned char *nonce); - - - * Create a compact ECDSA signature (64 byte + recovery id). - * Returns: 1: signature created - * 0: nonce invalid, try another one - * In: msg: the message being signed - * msglen: the length of the message being signed - * seckey: pointer to a 32-byte secret key (assumed to be valid) - * nonce: pointer to a 32-byte nonce (generated with a cryptographic PRNG) - * Out: sig: pointer to a 64-byte array where the signature will be placed. - * recid: pointer to an int, which will be updated to contain the recovery id. - * -int secp256k1_ecdsa_sign_compact(const unsigned char *msg, int msglen, - unsigned char *sig64, - const unsigned char *seckey, - const unsigned char *nonce, - int *recid); - - * Recover an ECDSA public key from a compact signature. - * Returns: 1: public key successfully recovered (which guarantees a correct signature). - * 0: otherwise. - * In: msg: the message assumed to be signed - * msglen: the length of the message - * compressed: whether to recover a compressed or uncompressed pubkey - * recid: the recovery id (as returned by ecdsa_sign_compact) - * Out: pubkey: pointer to a 33 or 65 byte array to put the pubkey. - * pubkeylen: pointer to an int that will contain the pubkey length. - * - -recovery id is between 0 and 3 - -int secp256k1_ecdsa_recover_compact(const unsigned char *msg, int msglen, - const unsigned char *sig64, - unsigned char *pubkey, int *pubkeylen, - int compressed, int recid); - - - * Verify an ECDSA secret key. - * Returns: 1: secret key is valid - * 0: secret key is invalid - * In: seckey: pointer to a 32-byte secret key - * -int secp256k1_ecdsa_seckey_verify(const unsigned char *seckey); - -** Just validate a public key. - * Returns: 1: valid public key - * 0: invalid public key - * -int secp256k1_ecdsa_pubkey_verify(const unsigned char *pubkey, int pubkeylen); - -** Compute the public key for a secret key. - * In: compressed: whether the computed public key should be compressed - * seckey: pointer to a 32-byte private key. - * Out: pubkey: pointer to a 33-byte (if compressed) or 65-byte (if uncompressed) - * area to store the public key. - * pubkeylen: pointer to int that will be updated to contains the pubkey's - * length. - * Returns: 1: secret was valid, public key stores - * 0: secret was invalid, try again. - * -int secp256k1_ecdsa_pubkey_create(unsigned char *pubkey, int *pubkeylen, const unsigned char *seckey, int compressed); -*/ diff --git a/crypto/secp256k1/pubkey_scalar_mul.h b/crypto/secp256k1/pubkey_scalar_mul.h deleted file mode 100644 index 0511545ec..000000000 --- a/crypto/secp256k1/pubkey_scalar_mul.h +++ /dev/null @@ -1,56 +0,0 @@ -// Copyright 2015 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>. - -/** Multiply point by scalar in constant time. - * Returns: 1: multiplication was successful - * 0: scalar was invalid (zero or overflow) - * Args: ctx: pointer to a context object (cannot be NULL) - * Out: point: the multiplied point (usually secret) - * In: point: pointer to a 64-byte bytepublic point, - encoded as two 256bit big-endian numbers. - * scalar: a 32-byte scalar with which to multiply the point - */ -int secp256k1_pubkey_scalar_mul(const secp256k1_context* ctx, unsigned char *point, const unsigned char *scalar) { - int ret = 0; - int overflow = 0; - secp256k1_fe feX, feY; - secp256k1_gej res; - secp256k1_ge ge; - secp256k1_scalar s; - ARG_CHECK(point != NULL); - ARG_CHECK(scalar != NULL); - (void)ctx; - - secp256k1_fe_set_b32(&feX, point); - secp256k1_fe_set_b32(&feY, point+32); - secp256k1_ge_set_xy(&ge, &feX, &feY); - secp256k1_scalar_set_b32(&s, scalar, &overflow); - if (overflow || secp256k1_scalar_is_zero(&s)) { - ret = 0; - } else { - secp256k1_ecmult_const(&res, &ge, &s); - secp256k1_ge_set_gej(&ge, &res); - /* Note: can't use secp256k1_pubkey_save here because it is not constant time. */ - secp256k1_fe_normalize(&ge.x); - secp256k1_fe_normalize(&ge.y); - secp256k1_fe_get_b32(point, &ge.x); - secp256k1_fe_get_b32(point+32, &ge.y); - ret = 1; - } - secp256k1_scalar_clear(&s); - return ret; -} - diff --git a/crypto/secp256k1/secp256.go b/crypto/secp256k1/secp256.go index 2c5f61450..070e0d902 100644 --- a/crypto/secp256k1/secp256.go +++ b/crypto/secp256k1/secp256.go @@ -14,10 +14,9 @@ // You should have received a copy of the GNU Lesser General Public License // along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>. +// Package secp256k1 wraps the bitcoin secp256k1 C library. package secp256k1 -// TODO: set USE_SCALAR_4X64 depending on platform? - /* #cgo CFLAGS: -I./libsecp256k1 #cgo CFLAGS: -I./libsecp256k1/src/ @@ -29,7 +28,7 @@ package secp256k1 #define NDEBUG #include "./libsecp256k1/src/secp256k1.c" #include "./libsecp256k1/src/modules/recovery/main_impl.h" -#include "pubkey_scalar_mul.h" +#include "ext.h" typedef void (*callbackFunc) (const char* msg, void* data); extern void secp256k1GoPanicIllegal(const char* msg, void* data); @@ -45,16 +44,6 @@ import ( "github.com/ethereum/go-ethereum/crypto/randentropy" ) -//#define USE_FIELD_5X64 - -/* - TODO: - > store private keys in buffer and shuffle (deters persistence on swap disc) - > byte permutation (changing) - > xor with chaning random block (to deter scanning memory for 0x63) (stream cipher?) -*/ - -// holds ptr to secp256k1_context_struct (see secp256k1/include/secp256k1.h) var ( context *C.secp256k1_context N *big.Int @@ -67,127 +56,57 @@ func init() { HalfN, _ = new(big.Int).SetString("7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0", 16) // around 20 ms on a modern CPU. - context = C.secp256k1_context_create(3) // SECP256K1_START_SIGN | SECP256K1_START_VERIFY + context = C.secp256k1_context_create_sign_verify() C.secp256k1_context_set_illegal_callback(context, C.callbackFunc(C.secp256k1GoPanicIllegal), nil) C.secp256k1_context_set_error_callback(context, C.callbackFunc(C.secp256k1GoPanicError), nil) } var ( - ErrInvalidMsgLen = errors.New("invalid message length for signature recovery") + ErrInvalidMsgLen = errors.New("invalid message length, need 32 bytes") ErrInvalidSignatureLen = errors.New("invalid signature length") ErrInvalidRecoveryID = errors.New("invalid signature recovery id") + ErrInvalidKey = errors.New("invalid private key") + ErrSignFailed = errors.New("signing failed") + ErrRecoverFailed = errors.New("recovery failed") ) -func GenerateKeyPair() ([]byte, []byte) { - var seckey []byte = randentropy.GetEntropyCSPRNG(32) - var seckey_ptr *C.uchar = (*C.uchar)(unsafe.Pointer(&seckey[0])) - var pubkey64 []byte = make([]byte, 64) // secp256k1_pubkey - var pubkey65 []byte = make([]byte, 65) // 65 byte uncompressed pubkey - pubkey64_ptr := (*C.secp256k1_pubkey)(unsafe.Pointer(&pubkey64[0])) - pubkey65_ptr := (*C.uchar)(unsafe.Pointer(&pubkey65[0])) - - ret := C.secp256k1_ec_pubkey_create( - context, - pubkey64_ptr, - seckey_ptr, - ) - - if ret != C.int(1) { - return GenerateKeyPair() // invalid secret, try again - } - - var output_len C.size_t - - C.secp256k1_ec_pubkey_serialize( // always returns 1 - context, - pubkey65_ptr, - &output_len, - pubkey64_ptr, - 0, // SECP256K1_EC_COMPRESSED - ) - - return pubkey65, seckey -} - -func GeneratePubKey(seckey []byte) ([]byte, error) { - if err := VerifySeckeyValidity(seckey); err != nil { - return nil, err +// Sign creates a recoverable ECDSA signature. +// The produced signature is in the 65-byte [R || S || V] format where V is 0 or 1. +// +// The caller is responsible for ensuring that msg cannot be chosen +// directly by an attacker. It is usually preferable to use a cryptographic +// hash function on any input before handing it to this function. +func Sign(msg []byte, seckey []byte) ([]byte, error) { + if len(msg) != 32 { + return nil, ErrInvalidMsgLen } - - var pubkey []byte = make([]byte, 64) - var pubkey_ptr *C.secp256k1_pubkey = (*C.secp256k1_pubkey)(unsafe.Pointer(&pubkey[0])) - - var seckey_ptr *C.uchar = (*C.uchar)(unsafe.Pointer(&seckey[0])) - - ret := C.secp256k1_ec_pubkey_create( - context, - pubkey_ptr, - seckey_ptr, - ) - - if ret != C.int(1) { - return nil, errors.New("Unable to generate pubkey from seckey") + if len(seckey) != 32 { + return nil, ErrInvalidKey } - - return pubkey, nil -} - -func Sign(msg []byte, seckey []byte) ([]byte, error) { - msg_ptr := (*C.uchar)(unsafe.Pointer(&msg[0])) - seckey_ptr := (*C.uchar)(unsafe.Pointer(&seckey[0])) - - sig := make([]byte, 65) - sig_ptr := (*C.secp256k1_ecdsa_recoverable_signature)(unsafe.Pointer(&sig[0])) - - nonce := randentropy.GetEntropyCSPRNG(32) - ndata_ptr := unsafe.Pointer(&nonce[0]) - - noncefp_ptr := &(*C.secp256k1_nonce_function_default) - - if C.secp256k1_ec_seckey_verify(context, seckey_ptr) != C.int(1) { - return nil, errors.New("Invalid secret key") + seckeydata := (*C.uchar)(unsafe.Pointer(&seckey[0])) + if C.secp256k1_ec_seckey_verify(context, seckeydata) != 1 { + return nil, ErrInvalidKey } - ret := C.secp256k1_ecdsa_sign_recoverable( - context, - sig_ptr, - msg_ptr, - seckey_ptr, - noncefp_ptr, - ndata_ptr, + var ( + msgdata = (*C.uchar)(unsafe.Pointer(&msg[0])) + nonce = randentropy.GetEntropyCSPRNG(32) + noncefunc = &(*C.secp256k1_nonce_function_default) + noncefuncData = unsafe.Pointer(&nonce[0]) + sigstruct C.secp256k1_ecdsa_recoverable_signature ) - - if ret == C.int(0) { - return Sign(msg, seckey) //invalid secret, try again + if C.secp256k1_ecdsa_sign_recoverable(context, &sigstruct, msgdata, seckeydata, noncefunc, noncefuncData) == 0 { + return nil, ErrSignFailed } - sig_serialized := make([]byte, 65) - sig_serialized_ptr := (*C.uchar)(unsafe.Pointer(&sig_serialized[0])) - var recid C.int - - C.secp256k1_ecdsa_recoverable_signature_serialize_compact( - context, - sig_serialized_ptr, // 64 byte compact signature - &recid, - sig_ptr, // 65 byte "recoverable" signature + var ( + sig = make([]byte, 65) + sigdata = (*C.uchar)(unsafe.Pointer(&sig[0])) + recid C.int ) - - sig_serialized[64] = byte(int(recid)) // add back recid to get 65 bytes sig - - return sig_serialized, nil - -} - -func VerifySeckeyValidity(seckey []byte) error { - if len(seckey) != 32 { - return errors.New("priv key is not 32 bytes") - } - var seckey_ptr *C.uchar = (*C.uchar)(unsafe.Pointer(&seckey[0])) - ret := C.secp256k1_ec_seckey_verify(context, seckey_ptr) - if int(ret) != 1 { - return errors.New("invalid seckey") - } - return nil + C.secp256k1_ecdsa_recoverable_signature_serialize_compact(context, sigdata, &recid, &sigstruct) + sig[64] = byte(recid) // add back recid to get 65 bytes sig + return sig, nil } // RecoverPubkey returns the the public key of the signer. @@ -202,49 +121,15 @@ func RecoverPubkey(msg []byte, sig []byte) ([]byte, error) { return nil, err } - msg_ptr := (*C.uchar)(unsafe.Pointer(&msg[0])) - sig_ptr := (*C.uchar)(unsafe.Pointer(&sig[0])) - pubkey := make([]byte, 64) - /* - this slice is used for both the recoverable signature and the - resulting serialized pubkey (both types in libsecp256k1 are 65 - bytes). this saves one allocation of 65 bytes, which is nice as - pubkey recovery is one bottleneck during load in Ethereum - */ - bytes65 := make([]byte, 65) - pubkey_ptr := (*C.secp256k1_pubkey)(unsafe.Pointer(&pubkey[0])) - recoverable_sig_ptr := (*C.secp256k1_ecdsa_recoverable_signature)(unsafe.Pointer(&bytes65[0])) - recid := C.int(sig[64]) - - ret := C.secp256k1_ecdsa_recoverable_signature_parse_compact( - context, - recoverable_sig_ptr, - sig_ptr, - recid) - if ret == C.int(0) { - return nil, errors.New("Failed to parse signature") - } - - ret = C.secp256k1_ecdsa_recover( - context, - pubkey_ptr, - recoverable_sig_ptr, - msg_ptr, + var ( + pubkey = make([]byte, 65) + sigdata = (*C.uchar)(unsafe.Pointer(&sig[0])) + msgdata = (*C.uchar)(unsafe.Pointer(&msg[0])) ) - if ret == C.int(0) { - return nil, errors.New("Failed to recover public key") + if C.secp256k1_ecdsa_recover_pubkey(context, (*C.uchar)(unsafe.Pointer(&pubkey[0])), sigdata, msgdata) == 0 { + return nil, ErrRecoverFailed } - - serialized_pubkey_ptr := (*C.uchar)(unsafe.Pointer(&bytes65[0])) - var output_len C.size_t - C.secp256k1_ec_pubkey_serialize( // always returns 1 - context, - serialized_pubkey_ptr, - &output_len, - pubkey_ptr, - 0, // SECP256K1_EC_COMPRESSED - ) - return bytes65, nil + return pubkey, nil } func checkSignature(sig []byte) error { diff --git a/crypto/secp256k1/secp256_test.go b/crypto/secp256k1/secp256_test.go index e91166cf1..ec28b8e39 100644 --- a/crypto/secp256k1/secp256_test.go +++ b/crypto/secp256k1/secp256_test.go @@ -18,6 +18,9 @@ package secp256k1 import ( "bytes" + "crypto/ecdsa" + "crypto/elliptic" + "crypto/rand" "encoding/hex" "testing" @@ -26,15 +29,41 @@ import ( const TestCount = 1000 -func TestPrivkeyGenerate(t *testing.T) { - _, seckey := GenerateKeyPair() - if err := VerifySeckeyValidity(seckey); err != nil { - t.Errorf("seckey not valid: %s", err) +func generateKeyPair() (pubkey, privkey []byte) { + key, err := ecdsa.GenerateKey(S256(), rand.Reader) + if err != nil { + panic(err) + } + pubkey = elliptic.Marshal(S256(), key.X, key.Y) + privkey = make([]byte, 32) + readBits(privkey, key.D) + return pubkey, privkey +} + +func randSig() []byte { + sig := randentropy.GetEntropyCSPRNG(65) + sig[32] &= 0x70 + sig[64] %= 4 + return sig +} + +// tests for malleability +// highest bit of signature ECDSA s value must be 0, in the 33th byte +func compactSigCheck(t *testing.T, sig []byte) { + var b int = int(sig[32]) + if b < 0 { + t.Errorf("highest bit is negative: %d", b) + } + if ((b >> 7) == 1) != ((b & 0x80) == 0x80) { + t.Errorf("highest bit: %d bit >> 7: %d", b, b>>7) + } + if (b & 0x80) == 0x80 { + t.Errorf("highest bit: %d bit & 0x80: %d", b, b&0x80) } } func TestSignatureValidity(t *testing.T) { - pubkey, seckey := GenerateKeyPair() + pubkey, seckey := generateKeyPair() msg := randentropy.GetEntropyCSPRNG(32) sig, err := Sign(msg, seckey) if err != nil { @@ -57,7 +86,7 @@ func TestSignatureValidity(t *testing.T) { } func TestInvalidRecoveryID(t *testing.T) { - _, seckey := GenerateKeyPair() + _, seckey := generateKeyPair() msg := randentropy.GetEntropyCSPRNG(32) sig, _ := Sign(msg, seckey) sig[64] = 99 @@ -68,7 +97,7 @@ func TestInvalidRecoveryID(t *testing.T) { } func TestSignAndRecover(t *testing.T) { - pubkey1, seckey := GenerateKeyPair() + pubkey1, seckey := generateKeyPair() msg := randentropy.GetEntropyCSPRNG(32) sig, err := Sign(msg, seckey) if err != nil { @@ -84,7 +113,7 @@ func TestSignAndRecover(t *testing.T) { } func TestRandomMessagesWithSameKey(t *testing.T) { - pubkey, seckey := GenerateKeyPair() + pubkey, seckey := generateKeyPair() keys := func() ([]byte, []byte) { return pubkey, seckey } @@ -93,7 +122,7 @@ func TestRandomMessagesWithSameKey(t *testing.T) { func TestRandomMessagesWithRandomKeys(t *testing.T) { keys := func() ([]byte, []byte) { - pubkey, seckey := GenerateKeyPair() + pubkey, seckey := generateKeyPair() return pubkey, seckey } signAndRecoverWithRandomMessages(t, keys) @@ -129,7 +158,7 @@ func signAndRecoverWithRandomMessages(t *testing.T, keys func() ([]byte, []byte) } func TestRecoveryOfRandomSignature(t *testing.T) { - pubkey1, _ := GenerateKeyPair() + pubkey1, _ := generateKeyPair() msg := randentropy.GetEntropyCSPRNG(32) for i := 0; i < TestCount; i++ { @@ -141,15 +170,8 @@ func TestRecoveryOfRandomSignature(t *testing.T) { } } -func randSig() []byte { - sig := randentropy.GetEntropyCSPRNG(65) - sig[32] &= 0x70 - sig[64] %= 4 - return sig -} - func TestRandomMessagesAgainstValidSig(t *testing.T) { - pubkey1, seckey := GenerateKeyPair() + pubkey1, seckey := generateKeyPair() msg := randentropy.GetEntropyCSPRNG(32) sig, _ := Sign(msg, seckey) @@ -163,14 +185,6 @@ func TestRandomMessagesAgainstValidSig(t *testing.T) { } } -func TestZeroPrivkey(t *testing.T) { - zeroedBytes := make([]byte, 32) - err := VerifySeckeyValidity(zeroedBytes) - if err == nil { - t.Errorf("zeroed bytes should have returned error") - } -} - // Useful when the underlying libsecp256k1 API changes to quickly // check only recover function without use of signature function func TestRecoverSanity(t *testing.T) { @@ -186,47 +200,23 @@ func TestRecoverSanity(t *testing.T) { } } -// tests for malleability -// highest bit of signature ECDSA s value must be 0, in the 33th byte -func compactSigCheck(t *testing.T, sig []byte) { - var b int = int(sig[32]) - if b < 0 { - t.Errorf("highest bit is negative: %d", b) - } - if ((b >> 7) == 1) != ((b & 0x80) == 0x80) { - t.Errorf("highest bit: %d bit >> 7: %d", b, b>>7) - } - if (b & 0x80) == 0x80 { - t.Errorf("highest bit: %d bit & 0x80: %d", b, b&0x80) - } -} - -// godep go test -v -run=XXX -bench=BenchmarkSign -// add -benchtime=10s to benchmark longer for more accurate average - -// to avoid compiler optimizing the benchmarked function call -var err error - func BenchmarkSign(b *testing.B) { + _, seckey := generateKeyPair() + msg := randentropy.GetEntropyCSPRNG(32) + b.ResetTimer() + for i := 0; i < b.N; i++ { - _, seckey := GenerateKeyPair() - msg := randentropy.GetEntropyCSPRNG(32) - b.StartTimer() - _, e := Sign(msg, seckey) - err = e - b.StopTimer() + Sign(msg, seckey) } } -//godep go test -v -run=XXX -bench=BenchmarkECRec func BenchmarkRecover(b *testing.B) { + msg := randentropy.GetEntropyCSPRNG(32) + _, seckey := generateKeyPair() + sig, _ := Sign(msg, seckey) + b.ResetTimer() + for i := 0; i < b.N; i++ { - _, seckey := GenerateKeyPair() - msg := randentropy.GetEntropyCSPRNG(32) - sig, _ := Sign(msg, seckey) - b.StartTimer() - _, e := RecoverPubkey(msg, sig) - err = e - b.StopTimer() + RecoverPubkey(msg, sig) } } |