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crypto/secp256k1: update to github.com/bitcoin-core/secp256k1 @ 9d560f9 (#3544) 

- Use defined constants instead of hard-coding their integer value.
- Allocate secp256k1 structs on the C stack instead of converting []byte
- Remove dead code
This commit is contained in:
Felix Lange 2017-01-12 21:29:11 +01:00 committed by GitHub
parent 93077c98e4
commit e0ceeab0d1
79 changed files with 8242 additions and 2011 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

8
crypto/crypto_test.go
View File

@ -72,14 +72,6 @@ func BenchmarkSha3(b *testing.B) {
fmt.Println(amount, ":", time.Since(start))
}
func Test0Key(t *testing.T) {
key := common.Hex2Bytes("0000000000000000000000000000000000000000000000000000000000000000")
_, err := secp256k1.GeneratePubKey(key)
if err == nil {
t.Errorf("expected error due to zero privkey")
}
}
func TestSign(t *testing.T) {
key, _ := HexToECDSA(testPrivHex)
addr := common.HexToAddress(testAddrHex)

27
crypto/secp256k1/curve.go
View File

@ -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 {

87
crypto/secp256k1/ext.h Normal file
View File

@ -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;
}

20
crypto/secp256k1/libsecp256k1/.gitignore vendored
View File

@ -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

21
crypto/secp256k1/libsecp256k1/.travis.yml
View File

@ -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

107
crypto/secp256k1/libsecp256k1/Makefile.am
View File

@ -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 = $(libdir)/pkgconfig
pkgconfig_DATA = libsecp256k1.pc
libsecp256k1_la_SOURCES = src/secp256k1.c
libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES)
libsecp256k1_la_LIBADD = $(SECP_LIBS)
if USE_EXTERNAL_ASM
if USE_ASM_ARM
libsecp256k1_common_la_SOURCES = src/asm/field_10x26_arm.s
endif
endif
libsecp256k1_la_SOURCES = src/secp256k1.c
libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(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

2
crypto/secp256k1/libsecp256k1/README.md
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@ -1,7 +1,7 @@
libsecp256k1
============
[![Build Status](https://travis-ci.org/bitcoin/secp256k1.svg?branch=master)](https://travis-ci.org/bitcoin/secp256k1)
[![Build Status](https://travis-ci.org/bitcoin-core/secp256k1.svg?branch=master)](https://travis-ci.org/bitcoin-core/secp256k1)
Optimized C library for EC operations on curve secp256k1.

140
crypto/secp256k1/libsecp256k1/build-aux/m4/ax_jni_include_dir.m4 Normal file
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@ -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

125
crypto/secp256k1/libsecp256k1/build-aux/m4/ax_prog_cc_for_build.m4 Normal file
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@ -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
])

69
crypto/secp256k1/libsecp256k1/build-aux/m4/bitcoin_secp.m4 Normal file
View File

@ -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
])

173
crypto/secp256k1/libsecp256k1/configure.ac
View File

@ -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"
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
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"

150
crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.c Normal file
View File

@ -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;
}

91
crypto/secp256k1/libsecp256k1/contrib/lax_der_parsing.h Normal file
View File

@ -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

113
crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.c Normal file
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@ -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;
}

90
crypto/secp256k1/libsecp256k1/contrib/lax_der_privatekey_parsing.h Normal file
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@ -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

240
crypto/secp256k1/libsecp256k1/include/secp256k1.h
View File

@ -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

15
crypto/secp256k1/libsecp256k1/include/secp256k1_ecdh.h
View File

@ -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

4
crypto/secp256k1/libsecp256k1/include/secp256k1_recovery.h
View File

@ -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)
*/

173
crypto/secp256k1/libsecp256k1/include/secp256k1_schnorr.h
View File

@ -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

2
crypto/secp256k1/libsecp256k1/libsecp256k1.pc.in
View File

@ -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@

322
crypto/secp256k1/libsecp256k1/sage/group_prover.sage Normal file
View File

@ -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)

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# 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)

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# 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

919
crypto/secp256k1/libsecp256k1/src/asm/field_10x26_arm.s Normal file
View File

@ -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

3
crypto/secp256k1/libsecp256k1/src/bench_ecdh.c
View File

@ -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;
}

34
crypto/secp256k1/libsecp256k1/src/bench_internal.c
View File

@ -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;
}

45
crypto/secp256k1/libsecp256k1/src/bench_verify.c
View File

@ -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;

1
crypto/secp256k1/libsecp256k1/src/ecdsa.h
View File

@ -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

229
crypto/secp256k1/libsecp256k1/src/ecdsa_impl.h
View File

@ -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_der_read_len(const unsigned char **sigp, const unsigned char *sigend) {
int lenleft, b1;
size_t ret = 0;
if (*sigp >= sigend) {
return -1;
}
b1 = *((*sigp)++);
if (b1 == 0xFF) {
/* X.690-0207 8.1.3.5.c the value 0xFF shall not be used. */
return -1;
}
if ((b1 & 0x80) == 0) {
/* X.690-0207 8.1.3.4 short form length octets */
return b1;
}
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 ((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;
}
(*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 == 0x00 && rlen > 1 && (((*sig)[1]) & 0x80) == 0x00) {
/* Excessive 0x00 padding. */
return 0;
}
if (**sig == 0xFF && rlen > 1 && (((*sig)[1]) & 0x80) == 0x80) {
/* Excessive 0xFF padding. */
return 0;
}
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) {
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) {
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;
}
lenr = sig[3];
if (5+lenr >= size) {
rlen = secp256k1_der_read_len(&sig, sigend);
if (rlen < 0 || sig + rlen > sigend) {
/* Tuple exceeds bounds */
return 0;
}
lens = sig[lenr+5];
if (sig[1] != lenr+lens+4) {
if (sig + rlen != sigend) {
/* Garbage after tuple. */
return 0;
}
if (lenr+lens+6 > size) {
if (!secp256k1_der_parse_integer(rr, &sig, sigend)) {
return 0;
}
if (sig[2] != 0x02) {
if (!secp256k1_der_parse_integer(rs, &sig, sigend)) {
return 0;
}
if (lenr == 0) {
return 0;
}
if (sig[lenr+4] != 0x02) {
return 0;
}
if (lens == 0) {
return 0;
}
sp = sig + 6 + lenr;
while (lens > 0 && sp[0] == 0) {
lens--;
sp++;
}
if (lens > 32) {
return 0;
}
rp = sig + 4;
while (lenr > 0 && rp[0] == 0) {
lenr--;
rp++;
}
if (lenr > 32) {
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) {
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);

5
crypto/secp256k1/libsecp256k1/src/eckey.h
View File

@ -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);

107
crypto/secp256k1/libsecp256k1/src/eckey_impl.h
View File

@ -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)) {

69
crypto/secp256k1/libsecp256k1/src/ecmult_const_impl.h
View File

@ -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

15
crypto/secp256k1/libsecp256k1/src/ecmult_gen_impl.h
View File

@ -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);

21
crypto/secp256k1/libsecp256k1/src/ecmult_impl.h
View File

@ -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]);

25
crypto/secp256k1/libsecp256k1/src/field.h
View File

@ -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);

16
crypto/secp256k1/libsecp256k1/src/field_10x26_impl.h
View File

@ -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

5
crypto/secp256k1/libsecp256k1/src/field_5x52_impl.h
View File

@ -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) {

4
crypto/secp256k1/libsecp256k1/src/field_5x52_int128_impl.h
View File

@ -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;

52
crypto/secp256k1/libsecp256k1/src/field_impl.h
View File

@ -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

19
crypto/secp256k1/libsecp256k1/src/group.h
View File

@ -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);

120
crypto/secp256k1/libsecp256k1/src/group_impl.h
View File

@ -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

2
crypto/secp256k1/libsecp256k1/src/hash.h
View File

@ -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;

10
crypto/secp256k1/libsecp256k1/src/hash_impl.h
View File

@ -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

440
crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1.java
View File

@ -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();
}
}
/**
* @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 an ECDSA signature.
*
* @param data Message hash, 32 bytes
* @param key Secret key, 32 bytes
*
* Return values
* @param sig byte array of signature
*/
private static native int secp256k1_ecdsa_verify(ByteBuffer byteBuff);
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;
}
/**
* 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
*/
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);
}

226
crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java Normal file
View File

@ -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." );
}
}

45
crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/NativeSecp256k1Util.java Normal file
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@ -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 );
}
}
}

51
crypto/secp256k1/libsecp256k1/src/java/org/bitcoin/Secp256k1Context.java Normal file
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@ -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();
}

378
crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.c
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@ -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)
{
unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
int sigLen = *((int*)(data + 32));
int pubLen = *((int*)(data + 32 + 4));
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;
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 jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize
(JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
{
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);
static void __javasecp256k1_attach(void) {
secp256k1_start(SECP256K1_START_VERIFY);
}
static void __javasecp256k1_detach(void) {
secp256k1_stop();
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);
(void)classObject;(void)env;
}
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;
}

106
crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_NativeSecp256k1.h
View File

@ -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_ecdsa_verify
* Signature: (Ljava/nio/ByteBuffer;)I
* Method: secp256k1_ctx_clone
* Signature: (J)J
*/
JNIEXPORT jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify
(JNIEnv *, jclass, jobject);
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;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
*/
SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh
(JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen);
#ifdef __cplusplus
}

15
crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.c Normal file
View File

@ -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;
}

22
crypto/secp256k1/libsecp256k1/src/java/org_bitcoin_Secp256k1Context.h Normal file
View File

@ -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

3
crypto/secp256k1/libsecp256k1/src/modules/ecdh/Makefile.am.include
View File

@ -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

2
crypto/secp256k1/libsecp256k1/src/modules/ecdh/main_impl.h
View File

@ -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);

30
crypto/secp256k1/libsecp256k1/src/modules/ecdh/tests_impl.h
View File

@ -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();
}

3
crypto/secp256k1/libsecp256k1/src/modules/recovery/Makefile.am.include
View File

@ -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

45
crypto/secp256k1/libsecp256k1/src/modules/recovery/main_impl.h Normal file → Executable file
View File

@ -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);

168
crypto/secp256k1/libsecp256k1/src/modules/recovery/tests_impl.h
View File

@ -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();
}

11
crypto/secp256k1/libsecp256k1/src/modules/schnorr/Makefile.am.include
View File

@ -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

164
crypto/secp256k1/libsecp256k1/src/modules/schnorr/main_impl.h
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@ -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

20
crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr.h
View File

@ -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

207
crypto/secp256k1/libsecp256k1/src/modules/schnorr/schnorr_impl.h
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@ -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

175
crypto/secp256k1/libsecp256k1/src/modules/schnorr/tests_impl.h
View File

@ -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

6
crypto/secp256k1/libsecp256k1/src/num.h
View File

@ -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);

28
crypto/secp256k1/libsecp256k1/src/num_gmp_impl.h
View File

@ -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);
}

4
crypto/secp256k1/libsecp256k1/src/scalar.h
View File

@ -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"

28
crypto/secp256k1/libsecp256k1/src/scalar_4x64_impl.h
View File

@ -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;

41
crypto/secp256k1/libsecp256k1/src/scalar_impl.h
View File

@ -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

15
crypto/secp256k1/libsecp256k1/src/scalar_low.h Normal file
View File

@ -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

114
crypto/secp256k1/libsecp256k1/src/scalar_low_impl.h Normal file
View File

@ -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

188
crypto/secp256k1/libsecp256k1/src/secp256k1.c Normal file → Executable file
View File

@ -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);

12
crypto/secp256k1/libsecp256k1/src/testrand.h
View File

@ -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

84
crypto/secp256k1/libsecp256k1/src/testrand_impl.h
View File

@ -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

2314
crypto/secp256k1/libsecp256k1/src/tests.c
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File diff suppressed because it is too large Load Diff

470
crypto/secp256k1/libsecp256k1/src/tests_exhaustive.c Normal file
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@ -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;
}

5
crypto/secp256k1/libsecp256k1/src/util.h
View File

@ -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

208
crypto/secp256k1/notes.go
View File

@ -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);
*/

56
crypto/secp256k1/pubkey_scalar_mul.h
View File

@ -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;
}

207
crypto/secp256k1/secp256.go
View File

@ -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
}
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")
}
return pubkey, nil
}
// 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) {
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")
if len(msg) != 32 {
return nil, ErrInvalidMsgLen
}
ret := C.secp256k1_ecdsa_sign_recoverable(
context,
sig_ptr,
msg_ptr,
seckey_ptr,
noncefp_ptr,
ndata_ptr,
)
if ret == C.int(0) {
return Sign(msg, seckey) //invalid secret, try again
}
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
)
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")
return nil, ErrInvalidKey
}
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")
seckeydata := (*C.uchar)(unsafe.Pointer(&seckey[0]))
if C.secp256k1_ec_seckey_verify(context, seckeydata) != 1 {
return nil, ErrInvalidKey
}
return nil
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 C.secp256k1_ecdsa_sign_recoverable(context, &sigstruct, msgdata, seckeydata, noncefunc, noncefuncData) == 0 {
return nil, ErrSignFailed
}
var (
sig = make([]byte, 65)
sigdata = (*C.uchar)(unsafe.Pointer(&sig[0]))
recid C.int
)
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 {

112
crypto/secp256k1/secp256_test.go
View File

@ -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)
}
}