Squashed 'src/secp256k1/' content from commit 452d8e4

git-subtree-dir: src/secp256k1
git-subtree-split: 452d8e4

.gitignore

@@ -0,0 +1,50 @@
+bench_inv
+bench_ecdh
+bench_ecmult
+bench_sign
+bench_verify
+bench_schnorr_verify
+bench_recover
+bench_internal
+tests
+exhaustive_tests
+gen_context
+*.exe
+*.so
+*.a
+!.gitignore
+
+Makefile
+configure
+.libs/
+Makefile.in
+aclocal.m4
+autom4te.cache/
+config.log
+config.status
+*.tar.gz
+*.la
+libtool
+.deps/
+.dirstamp
+*.lo
+*.o
+*~
+src/libsecp256k1-config.h
+src/libsecp256k1-config.h.in
+src/ecmult_static_context.h
+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

.travis.yml

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+language: c
+sudo: false
+addons:
+  apt:
+    packages: libgmp-dev
+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  RECOVERY=no  EXPERIMENTAL=no  JNI=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  EXPERIMENTAL=yes
+    - SCALAR=64bit
+    - FIELD=64bit     RECOVERY=yes
+    - FIELD=64bit     ENDOMORPHISM=yes
+    - FIELD=64bit     ENDOMORPHISM=yes  ECDH=yes EXPERIMENTAL=yes
+    - FIELD=64bit                       ASM=x86_64
+    - FIELD=64bit     ENDOMORPHISM=yes  ASM=x86_64
+    - FIELD=32bit     ENDOMORPHISM=yes
+    - BIGNUM=no
+    - BIGNUM=no       ENDOMORPHISM=yes RECOVERY=yes EXPERIMENTAL=yes
+    - BIGNUM=no       STATICPRECOMPUTATION=no
+    - BUILD=distcheck
+    - EXTRAFLAGS=CPPFLAGS=-DDETERMINISTIC
+    - EXTRAFLAGS=CFLAGS=-O0
+    - BUILD=check-java JNI=yes ECDH=yes EXPERIMENTAL=yes
+matrix:
+  fast_finish: true
+  include:
+    - compiler: clang
+      env: HOST=i686-linux-gnu ENDOMORPHISM=yes
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+            - libgmp-dev:i386
+    - compiler: clang
+      env: HOST=i686-linux-gnu
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+    - compiler: gcc
+      env: HOST=i686-linux-gnu ENDOMORPHISM=yes
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+    - compiler: gcc
+      env: HOST=i686-linux-gnu
+      addons:
+        apt:
+          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="$CC -m32"; fi
+ - ./configure --enable-experimental=$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=$RECOVERY --enable-jni=$JNI $EXTRAFLAGS $USE_HOST && make -j2 $BUILD
+os: linux

COPYING

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+Copyright (c) 2013 Pieter Wuille
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+THE SOFTWARE.

Makefile.am

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+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
+noinst_HEADERS += src/num_gmp_impl.h
+noinst_HEADERS += src/ecdsa.h
+noinst_HEADERS += src/ecdsa_impl.h
+noinst_HEADERS += src/eckey.h
+noinst_HEADERS += src/eckey_impl.h
+noinst_HEADERS += src/ecmult.h
+noinst_HEADERS += src/ecmult_impl.h
+noinst_HEADERS += src/ecmult_const.h
+noinst_HEADERS += src/ecmult_const_impl.h
+noinst_HEADERS += src/ecmult_gen.h
+noinst_HEADERS += src/ecmult_gen_impl.h
+noinst_HEADERS += src/num.h
+noinst_HEADERS += src/num_impl.h
+noinst_HEADERS += src/field_10x26.h
+noinst_HEADERS += src/field_10x26_impl.h
+noinst_HEADERS += src/field_5x52.h
+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/scratch.h
+noinst_HEADERS += src/scratch_impl.h
+noinst_HEADERS += src/testrand.h
+noinst_HEADERS += src/testrand_impl.h
+noinst_HEADERS += src/hash.h
+noinst_HEADERS += src/hash_impl.h
+noinst_HEADERS += src/field.h
+noinst_HEADERS += src/field_impl.h
+noinst_HEADERS += src/bench.h
+noinst_HEADERS += contrib/lax_der_parsing.h
+noinst_HEADERS += contrib/lax_der_parsing.c
+noinst_HEADERS += contrib/lax_der_privatekey_parsing.h
+noinst_HEADERS += contrib/lax_der_privatekey_parsing.c
+
+if USE_EXTERNAL_ASM
+COMMON_LIB = libsecp256k1_common.la
+noinst_LTLIBRARIES = $(COMMON_LIB)
+else
+COMMON_LIB =
+endif
+
+pkgconfigdir = $(libdir)/pkgconfig
+pkgconfig_DATA = libsecp256k1.pc
+
+if USE_EXTERNAL_ASM
+if USE_ASM_ARM
+libsecp256k1_common_la_SOURCES = src/asm/field_10x26_arm.s
+endif
+endif
+
+libsecp256k1_la_SOURCES = src/secp256k1.c
+libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(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_ecmult
+bench_verify_SOURCES = src/bench_verify.c
+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) $(SECP_TEST_LIBS) $(COMMON_LIB)
+bench_internal_SOURCES = src/bench_internal.c
+bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+bench_internal_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
+bench_ecmult_SOURCES = src/bench_ecmult.c
+bench_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+bench_ecmult_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
+endif
+
+TESTS =
+if USE_TESTS
+noinst_PROGRAMS += tests
+tests_SOURCES = src/tests.c
+tests_CPPFLAGS = -DSECP256K1_BUILD -I$(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) $(COMMON_LIB)
+tests_LDFLAGS = -static
+TESTS += tests
+endif
+
+if USE_EXHAUSTIVE_TESTS
+noinst_PROGRAMS += exhaustive_tests
+exhaustive_tests_SOURCES = src/tests_exhaustive.c
+exhaustive_tests_CPPFLAGS = -DSECP256K1_BUILD -I$(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)
+CFLAGS_FOR_BUILD += -Wall -Wextra -Wno-unused-function
+
+gen_context_OBJECTS = gen_context.o
+gen_context_BIN = gen_context$(BUILD_EXEEXT)
+gen_%.o: src/gen_%.c
+	$(CC_FOR_BUILD) $(CPPFLAGS_FOR_BUILD) $(CFLAGS_FOR_BUILD) -c $< -o $@
+
+$(gen_context_BIN): $(gen_context_OBJECTS)
+	$(CC_FOR_BUILD) $^ -o $@
+
+$(libsecp256k1_la_OBJECTS): src/ecmult_static_context.h
+$(tests_OBJECTS): src/ecmult_static_context.h
+$(bench_internal_OBJECTS): src/ecmult_static_context.h
+$(bench_ecmult_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 $(JAVAROOT)/$(JAVAORG)/*.class .stamp-java
+endif
+
+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_RECOVERY
+include src/modules/recovery/Makefile.am.include
+endif

README.md

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+libsecp256k1
+============
+
+[![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.
+
+This library is a work in progress and is being used to research best practices. Use at your own risk.
+
+Features:
+* secp256k1 ECDSA signing/verification and key generation.
+* Adding/multiplying private/public keys.
+* Serialization/parsing of private keys, public keys, signatures.
+* Constant time, constant memory access signing and pubkey generation.
+* Derandomized DSA (via RFC6979 or with a caller provided function.)
+* Very efficient implementation.
+
+Implementation details
+----------------------
+
+* General
+  * No runtime heap allocation.
+  * Extensive testing infrastructure.
+  * Structured to facilitate review and analysis.
+  * Intended to be portable to any system with a C89 compiler and uint64_t support.
+  * Expose only higher level interfaces to minimize the API surface and improve application security. ("Be difficult to use insecurely.")
+* Field operations
+  * Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1).
+    * Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys).
+    * Using 10 26-bit limbs.
+  * Field inverses and square roots using a sliding window over blocks of 1s (by Peter Dettman).
+* Scalar operations
+  * Optimized implementation without data-dependent branches of arithmetic modulo the curve's order.
+    * Using 4 64-bit limbs (relying on __int128 support in the compiler).
+    * Using 8 32-bit limbs.
+* Group operations
+  * Point addition formula specifically simplified for the curve equation (y^2 = x^3 + 7).
+  * Use addition between points in Jacobian and affine coordinates where possible.
+  * Use a unified addition/doubling formula where necessary to avoid data-dependent branches.
+  * Point/x comparison without a field inversion by comparison in the Jacobian coordinate space.
+* Point multiplication for verification (a*P + b*G).
+  * Use wNAF notation for point multiplicands.
+  * Use a much larger window for multiples of G, using precomputed multiples.
+  * Use Shamir's trick to do the multiplication with the public key and the generator simultaneously.
+  * Optionally (off by default) use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones.
+* Point multiplication for signing
+  * Use a precomputed table of multiples of powers of 16 multiplied with the generator, so general multiplication becomes a series of additions.
+  * Access the table with branch-free conditional moves so memory access is uniform.
+  * No data-dependent branches
+  * The precomputed tables add and eventually subtract points for which no known scalar (private key) is known, preventing even an attacker with control over the private key used to control the data internally.
+
+Build steps
+-----------
+
+libsecp256k1 is built using autotools:
+
+    $ ./autogen.sh
+    $ ./configure
+    $ make
+    $ ./tests
+    $ sudo make install  # optional

TODO

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+* Unit tests for fieldelem/groupelem, including ones intended to
+  trigger fieldelem's boundary cases.
+* Complete constant-time operations for signing/keygen

autogen.sh

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+#!/bin/sh
+set -e
+autoreconf -if --warnings=all