Merge commit '2d465aa9cd' into secp_update

src/secp256k1/.gitignore

@@ -1,5 +1,6 @@
 bench_inv
 bench_ecdh
+bench_ecmult
 bench_sign
 bench_verify
 bench_schnorr_verify

src/secp256k1/.travis.yml

@@ -11,7 +11,7 @@ cache:
   - 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
+    - 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
@@ -29,7 +29,7 @@ env:
     - BUILD=distcheck
     - EXTRAFLAGS=CPPFLAGS=-DDETERMINISTIC
     - EXTRAFLAGS=CFLAGS=-O0
-    - BUILD=check-java ECDH=yes EXPERIMENTAL=yes
+    - BUILD=check-java JNI=yes ECDH=yes EXPERIMENTAL=yes
 matrix:
   fast_finish: true
   include:
@@ -65,5 +65,5 @@ 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 $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=$RECOVERY --enable-jni=$JNI $EXTRAFLAGS $USE_HOST && make -j2 $BUILD
 os: linux

src/secp256k1/Makefile.am

@@ -42,6 +42,8 @@ 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
@@ -79,7 +81,7 @@ libsecp256k1_jni_la_CPPFLAGS = -DSECP256K1_BUILD $(JNI_INCLUDES)
 
 noinst_PROGRAMS =
 if USE_BENCHMARK
-noinst_PROGRAMS += bench_verify bench_sign bench_internal
+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
@@ -87,6 +89,9 @@ 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 =
@@ -159,6 +164,7 @@ $(gen_context_BIN): $(gen_context_OBJECTS)
 $(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)
@@ -175,3 +181,19 @@ endif
 if ENABLE_MODULE_RECOVERY
 include src/modules/recovery/Makefile.am.include
 endif
+
+if ENABLE_MODULE_GENERATOR
+include src/modules/generator/Makefile.am.include
+endif
+
+if ENABLE_MODULE_RANGEPROOF
+include src/modules/rangeproof/Makefile.am.include
+endif
+
+if ENABLE_MODULE_WHITELIST
+include src/modules/whitelist/Makefile.am.include
+endif
+
+if ENABLE_MODULE_SURJECTIONPROOF
+include src/modules/surjection/Makefile.am.include
+endif

src/secp256k1/build-aux/m4/ax_jni_include_dir.m4

@@ -1,5 +1,5 @@
 # ===========================================================================
-#    http://www.gnu.org/software/autoconf-archive/ax_jni_include_dir.html
+#    https://www.gnu.org/software/autoconf-archive/ax_jni_include_dir.html
 # ===========================================================================
 #
 # SYNOPSIS
@@ -44,7 +44,7 @@
 #   and this notice are preserved. This file is offered as-is, without any
 #   warranty.
 
-#serial 10
+#serial 14
 
 AU_ALIAS([AC_JNI_INCLUDE_DIR], [AX_JNI_INCLUDE_DIR])
 AC_DEFUN([AX_JNI_INCLUDE_DIR],[
@@ -66,9 +66,17 @@ else
 fi
 
 case "$host_os" in
-        darwin*)        _JTOPDIR=`echo "$_JTOPDIR" | sed -e 's:/[[^/]]*$::'`
-                        _JINC="$_JTOPDIR/Headers";;
-        *)              _JINC="$_JTOPDIR/include";;
+        darwin*)        # Apple Java headers are inside the Xcode bundle.
+            macos_version=$(sw_vers -productVersion | sed -n -e 's/^@<:@0-9@:>@*.\(@<:@0-9@:>@*\).@<:@0-9@:>@*/\1/p')
+            if @<:@ "$macos_version" -gt "7" @:>@; then
+                _JTOPDIR="$(xcrun --show-sdk-path)/System/Library/Frameworks/JavaVM.framework"
+                _JINC="$_JTOPDIR/Headers"
+            else
+                _JTOPDIR="/System/Library/Frameworks/JavaVM.framework"
+                _JINC="$_JTOPDIR/Headers"
+            fi
+            ;;
+        *) _JINC="$_JTOPDIR/include";;
 esac
 _AS_ECHO_LOG([_JTOPDIR=$_JTOPDIR])
 _AS_ECHO_LOG([_JINC=$_JINC])
@@ -76,30 +84,27 @@ _AS_ECHO_LOG([_JINC=$_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="$_JTOPDIR/include"
+  if test -f "$_JINC/jni.h"; then
+    ac_cv_jni_header_path="$_JINC"
     JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path"
   else
-    ac_cv_jni_header_path=none
+    _JTOPDIR=`echo "$_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
-fi
 ])
 
-
-
 # get the likely subdirectories for system specific java includes
 case "$host_os" in
 bsdi*)          _JNI_INC_SUBDIRS="bsdos";;
-darwin*)        _JNI_INC_SUBDIRS="darwin";;
 freebsd*)       _JNI_INC_SUBDIRS="freebsd";;
+darwin*)        _JNI_INC_SUBDIRS="darwin";;
 linux*)         _JNI_INC_SUBDIRS="linux genunix";;
 osf*)           _JNI_INC_SUBDIRS="alpha";;
 solaris*)       _JNI_INC_SUBDIRS="solaris";;
@@ -112,9 +117,9 @@ if test "x$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
+    if test -d "$_JTOPDIR/include/$JINCSUBDIR"; then
+         JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $_JTOPDIR/include/$JINCSUBDIR"
+    fi
   done
 fi
 ])

src/secp256k1/build-aux/m4/bitcoin_secp.m4

@@ -48,7 +48,6 @@ if test x"$has_libcrypto" = x"yes" && test x"$has_openssl_ec" = x; then
     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])

src/secp256k1/configure.ac

@@ -85,9 +85,9 @@ AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
     ])
 
 AC_ARG_ENABLE(benchmark,
-    AS_HELP_STRING([--enable-benchmark],[compile benchmark (default is no)]),
+    AS_HELP_STRING([--enable-benchmark],[compile benchmark (default is yes)]),
     [use_benchmark=$enableval],
-    [use_benchmark=no])
+    [use_benchmark=yes])
 
 AC_ARG_ENABLE(coverage,
     AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis]),
@@ -134,10 +134,30 @@ AC_ARG_ENABLE(module_recovery,
     [enable_module_recovery=$enableval],
     [enable_module_recovery=no])
 
+AC_ARG_ENABLE(module_generator,
+    AS_HELP_STRING([--enable-module-generator],[enable NUMS generator module (default is no)]),
+    [enable_module_generator=$enableval],
+    [enable_module_generator=no])
+
+AC_ARG_ENABLE(module_rangeproof,
+    AS_HELP_STRING([--enable-module-rangeproof],[enable Pedersen / zero-knowledge range proofs module (default is no)]),
+    [enable_module_rangeproof=$enableval],
+    [enable_module_rangeproof=no])
+
+AC_ARG_ENABLE(module_whitelist,
+    AS_HELP_STRING([--enable-module-whitelist],[enable key whitelisting module (default is no)]),
+    [enable_module_whitelist=$enableval],
+    [enable_module_whitelist=no])
+
 AC_ARG_ENABLE(jni,
-    AS_HELP_STRING([--enable-jni],[enable libsecp256k1_jni (default is auto)]),
+    AS_HELP_STRING([--enable-jni],[enable libsecp256k1_jni (default is no)]),
     [use_jni=$enableval],
-    [use_jni=auto])
+    [use_jni=no])
+
+AC_ARG_ENABLE(module_surjectionproof,
+    AS_HELP_STRING([--enable-module-surjectionproof],[enable surjection proof module (default is no)]),
+    [enable_module_surjectionproof=$enableval],
+    [enable_module_surjectionproof=no])
 
 AC_ARG_WITH([field], [AS_HELP_STRING([--with-field=64bit|32bit|auto],
 [Specify Field Implementation. Default is auto])],[req_field=$withval], [req_field=auto])
@@ -167,6 +187,12 @@ else
     CFLAGS="$CFLAGS -O3"
 fi
 
+AC_MSG_CHECKING([for __builtin_popcount])
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[void myfunc() {__builtin_popcount(0);}]])],
+    [ AC_MSG_RESULT([yes]);AC_DEFINE(HAVE_BUILTIN_POPCOUNT,1,[Define this symbol if __builtin_popcount is available]) ],
+    [ AC_MSG_RESULT([no])
+    ])
+
 if test x"$use_ecmult_static_precomputation" != x"no"; then
   save_cross_compiling=$cross_compiling
   cross_compiling=no
@@ -195,6 +221,12 @@ else
   set_precomp=no
 fi
 
+AC_MSG_CHECKING([for  __builtin_clzll])
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[void myfunc() { __builtin_clzll(1);}]])],
+    [ AC_MSG_RESULT([yes]);AC_DEFINE(HAVE_BUILTIN_CLZLL,1,[Define this symbol if  __builtin_clzll is available]) ],
+    [ AC_MSG_RESULT([no])
+    ])
+
 if test x"$req_asm" = x"auto"; then
   SECP_64BIT_ASM_CHECK
   if test x"$has_64bit_asm" = x"yes"; then
@@ -435,6 +467,22 @@ 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
 
+if test x"$enable_module_generator" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_GENERATOR, 1, [Define this symbol to enable the NUMS generator module])
+fi
+
+if test x"$enable_module_rangeproof" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_RANGEPROOF, 1, [Define this symbol to enable the Pedersen / zero knowledge range proof module])
+fi
+
+if test x"$enable_module_whitelist" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_WHITELIST, 1, [Define this symbol to enable the key whitelisting module])
+fi
+
+if test x"$enable_module_surjectionproof" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_SURJECTIONPROOF, 1, [Define this symbol to enable the surjection proof module])
+fi
+
 AC_C_BIGENDIAN()
 
 if test x"$use_external_asm" = x"yes"; then
@@ -447,6 +495,7 @@ 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 benchmarks: $use_benchmark])
 AC_MSG_NOTICE([Building for coverage analysis: $enable_coverage])
 AC_MSG_NOTICE([Building ECDH module: $enable_module_ecdh])
 AC_MSG_NOTICE([Building ECDSA pubkey recovery module: $enable_module_recovery])
@@ -457,7 +506,26 @@ if test x"$enable_experimental" = x"yes"; then
   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([Building NUMS generator module: $enable_module_generator])
+  AC_MSG_NOTICE([Building range proof module: $enable_module_rangeproof])
+  AC_MSG_NOTICE([Building key whitelisting module: $enable_module_whitelist])
+  AC_MSG_NOTICE([Building surjection proof module: $enable_module_surjectionproof])
   AC_MSG_NOTICE([******])
+
+  if test x"$enable_module_generator" != x"yes"; then
+    if test x"$enable_module_rangeproof" = x"yes"; then
+      AC_MSG_ERROR([Rangeproof module requires the generator module. Use --enable-module-generator to allow.])
+    fi
+  fi
+
+  if test x"$enable_module_rangeproof" != x"yes"; then
+    if test x"$enable_module_whitelist" = x"yes"; then
+      AC_MSG_ERROR([Whitelist module requires the rangeproof module. Use --enable-module-rangeproof to allow.])
+    fi
+    if test x"$enable_module_surjectionproof" = x"yes"; then
+      AC_MSG_ERROR([Surjection proof module requires the rangeproof module. Use --enable-module-rangeproof to allow.])
+    fi
+  fi
 else
   if test x"$enable_module_ecdh" = x"yes"; then
     AC_MSG_ERROR([ECDH module is experimental. Use --enable-experimental to allow.])
@@ -465,6 +533,18 @@ else
   if test x"$set_asm" = x"arm"; then
     AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.])
   fi
+  if test x"$enable_module_generator" = x"yes"; then
+    AC_MSG_ERROR([NUMS generator module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_rangeproof" = x"yes"; then
+    AC_MSG_ERROR([Range proof module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_whitelist" = x"yes"; then
+    AC_MSG_ERROR([Key whitelisting module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_surjectionproof" = x"yes"; then
+    AC_MSG_ERROR([Surjection proof module is experimental. Use --enable-experimental to allow.])
+  fi
 fi
 
 AC_CONFIG_HEADERS([src/libsecp256k1-config.h])
@@ -481,9 +561,13 @@ AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"])
 AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$set_precomp" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"])
+AM_CONDITIONAL([ENABLE_MODULE_GENERATOR], [test x"$enable_module_generator" = x"yes"])
+AM_CONDITIONAL([ENABLE_MODULE_RANGEPROOF], [test x"$enable_module_rangeproof" = x"yes"])
+AM_CONDITIONAL([ENABLE_MODULE_WHITELIST], [test x"$enable_module_whitelist" = x"yes"])
 AM_CONDITIONAL([USE_JNI], [test x"$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"])
+AM_CONDITIONAL([ENABLE_MODULE_SURJECTIONPROOF], [test x"$enable_module_surjectionproof" = x"yes"])
 
 dnl make sure nothing new is exported so that we don't break the cache
 PKGCONFIG_PATH_TEMP="$PKG_CONFIG_PATH"

src/secp256k1/include/secp256k1.h

@@ -42,6 +42,19 @@ extern "C" {
  */
 typedef struct secp256k1_context_struct secp256k1_context;
 
+/** Opaque data structure that holds rewriteable "scratch space"
+ *
+ *  The purpose of this structure is to replace dynamic memory allocations,
+ *  because we target architectures where this may not be available. It is
+ *  essentially a resizable (within specified parameters) block of bytes,
+ *  which is initially created either by memory allocation or TODO as a pointer
+ *  into some fixed rewritable space.
+ *
+ *  Unlike the context object, this cannot safely be shared between threads
+ *  without additional synchronization logic.
+ */
+typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space;
+
 /** Opaque data structure that holds a parsed and valid public key.
  *
  *  The exact representation of data inside is implementation defined and not
@@ -166,6 +179,13 @@ typedef int (*secp256k1_nonce_function)(
 #define SECP256K1_TAG_PUBKEY_HYBRID_EVEN 0x06
 #define SECP256K1_TAG_PUBKEY_HYBRID_ODD 0x07
 
+/** A simple secp256k1 context object with no precomputed tables. These are useful for
+ *  type serialization/parsing functions which require a context object to maintain
+ *  API consistency, but currently do not require expensive precomputations or dynamic
+ *  allocations.
+ */
+SECP256K1_API extern const secp256k1_context *secp256k1_context_no_precomp;
+
 /** Create a secp256k1 context object.
  *
  *  Returns: a newly created context object.
@@ -243,6 +263,26 @@ SECP256K1_API void secp256k1_context_set_error_callback(
     const void* data
 ) SECP256K1_ARG_NONNULL(1);
 
+/** Create a secp256k1 scratch space object.
+ *
+ *  Returns: a newly created scratch space.
+ *  Args: ctx:  an existing context object (cannot be NULL)
+ *  In:   max_size: maximum amount of memory to allocate
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT secp256k1_scratch_space* secp256k1_scratch_space_create(
+    const secp256k1_context* ctx,
+    size_t max_size
+) SECP256K1_ARG_NONNULL(1);
+
+/** Destroy a secp256k1 scratch space.
+ *
+ *  The pointer may not be used afterwards.
+ *  Args:   scratch: space to destroy
+ */
+SECP256K1_API void secp256k1_scratch_space_destroy(
+    secp256k1_scratch_space* scratch
+);
+
 /** Parse a variable-length public key into the pubkey object.
  *
  *  Returns: 1 if the public key was fully valid.
@@ -498,7 +538,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
  *
  *  Returns: 1 always
  *  Args:   ctx:        pointer to a context object
- *  In/Out: pubkey:     pointer to the public key to be negated (cannot be NULL)
+ *  In/Out: seckey:     pointer to the 32-byte private key to be negated (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
     const secp256k1_context* ctx,

src/secp256k1/include/secp256k1_ecdh.h

@@ -7,21 +7,45 @@
 extern "C" {
 #endif
 
+/** A pointer to a function that applies hash function to a point
+ *
+ *  Returns: 1 if a point was successfully hashed. 0 will cause ecdh to fail
+ *  Out:    output:     pointer to an array to be filled by the function
+ *  In:     x:          pointer to a 32-byte x coordinate
+ *          y:          pointer to a 32-byte y coordinate
+ *          data:       Arbitrary data pointer that is passed through
+ */
+typedef int (*secp256k1_ecdh_hash_function)(
+  unsigned char *output,
+  const unsigned char *x,
+  const unsigned char *y,
+  void *data
+);
+
+/** An implementation of SHA256 hash function that applies to compressed public key. */
+SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256;
+
+/** A default ecdh hash function (currently equal to secp256k1_ecdh_hash_function_sha256). */
+SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default;
+
 /** 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
+ *  Out:     output:     pointer to an array to be filled by the function
  *  In:      pubkey:     a pointer to a secp256k1_pubkey containing an
  *                       initialized public key
  *           privkey:    a 32-byte scalar with which to multiply the point
+ *           hashfp:     pointer to a hash function. If NULL, secp256k1_ecdh_hash_function_sha256 is used
+ *           data:       Arbitrary data pointer that is passed through
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh(
   const secp256k1_context* ctx,
-  unsigned char *result,
+  unsigned char *output,
   const secp256k1_pubkey *pubkey,
-  const unsigned char *privkey
+  const unsigned char *privkey,
+  secp256k1_ecdh_hash_function hashfp,
+  void *data
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
 #ifdef __cplusplus

src/secp256k1/include/secp256k1_generator.h

@@ -0,0 +1,93 @@
+#ifndef _SECP256K1_GENERATOR_
+# define _SECP256K1_GENERATOR_
+
+# include "secp256k1.h"
+
+# ifdef __cplusplus
+extern "C" {
+# endif
+
+#include <stdint.h>
+
+/** Opaque data structure that stores a base point
+ *
+ *  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, transmission, or
+ *  comparison, use secp256k1_generator_serialize and secp256k1_generator_parse.
+ */
+typedef struct {
+    unsigned char data[64];
+} secp256k1_generator;
+
+/** Parse a 33-byte generator byte sequence into a generator object.
+ *
+ *  Returns: 1 if input contains a valid generator.
+ *  Args: ctx:      a secp256k1 context object.
+ *  Out:  commit:   pointer to the output generator object
+ *  In:   input:    pointer to a 33-byte serialized generator
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_generator_parse(
+    const secp256k1_context* ctx,
+    secp256k1_generator* commit,
+    const unsigned char *input
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Serialize a 33-byte generator into a serialized byte sequence.
+ *
+ *  Returns: 1 always.
+ *  Args:   ctx:        a secp256k1 context object.
+ *  Out:    output:     a pointer to a 33-byte byte array
+ *  In:     commit:     a pointer to a generator
+ */
+SECP256K1_API int secp256k1_generator_serialize(
+    const secp256k1_context* ctx,
+    unsigned char *output,
+    const secp256k1_generator* commit
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Generate a generator for the curve.
+ *
+ *  Returns: 0 in the highly unlikely case the seed is not acceptable,
+ *           1 otherwise.
+ *  Args: ctx:     a secp256k1 context object
+ *  Out:  gen:     a generator object
+ *  In:   seed32:  a 32-byte seed
+ *
+ *  If successful a valid generator will be placed in gen. The produced
+ *  generators are distributed uniformly over the curve, and will not have a
+ *  known discrete logarithm with respect to any other generator produced,
+ *  or to the base generator G.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_generator_generate(
+    const secp256k1_context* ctx,
+    secp256k1_generator* gen,
+    const unsigned char *seed32
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Generate a blinded generator for the curve.
+ *
+ *  Returns: 0 in the highly unlikely case the seed is not acceptable or when
+ *           blind is out of range. 1 otherwise.
+ *  Args: ctx:     a secp256k1 context object, initialized for signing
+ *  Out:  gen:     a generator object
+ *  In:   seed32:  a 32-byte seed
+ *        blind32: a 32-byte secret value to blind the generator with.
+ *
+ *  The result is equivalent to first calling secp256k1_generator_generate,
+ *  converting the result to a public key, calling secp256k1_ec_pubkey_tweak_add,
+ *  and then converting back to generator form.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_generator_generate_blinded(
+    const secp256k1_context* ctx,
+    secp256k1_generator* gen,
+    const unsigned char *key32,
+    const unsigned char *blind32
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+
+# ifdef __cplusplus
+}
+# endif
+
+#endif

src/secp256k1/include/secp256k1_rangeproof.h

@@ -0,0 +1,297 @@
+#ifndef _SECP256K1_RANGEPROOF_
+# define _SECP256K1_RANGEPROOF_
+
+# include "secp256k1.h"
+# include "secp256k1_generator.h"
+
+# ifdef __cplusplus
+extern "C" {
+# endif
+
+#include <stdint.h>
+
+/** Opaque data structure that stores a Pedersen commitment
+ *
+ *  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, transmission, or
+ *  comparison, use secp256k1_pedersen_commitment_serialize and
+ *  secp256k1_pedersen_commitment_parse.
+ */
+typedef struct {
+    unsigned char data[64];
+} secp256k1_pedersen_commitment;
+
+/**
+ * Static constant generator 'h' maintained for historical reasons.
+ */
+SECP256K1_API extern const secp256k1_generator *secp256k1_generator_h;
+
+/** Parse a 33-byte commitment into a commitment object.
+ *
+ *  Returns: 1 if input contains a valid commitment.
+ *  Args: ctx:      a secp256k1 context object.
+ *  Out:  commit:   pointer to the output commitment object
+ *  In:   input:    pointer to a 33-byte serialized commitment key
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_commitment_parse(
+    const secp256k1_context* ctx,
+    secp256k1_pedersen_commitment* commit,
+    const unsigned char *input
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Serialize a commitment object into a serialized byte sequence.
+ *
+ *  Returns: 1 always.
+ *  Args:   ctx:        a secp256k1 context object.
+ *  Out:    output:     a pointer to a 33-byte byte array
+ *  In:     commit:     a pointer to a secp256k1_pedersen_commitment containing an
+ *                      initialized commitment
+ */
+SECP256K1_API int secp256k1_pedersen_commitment_serialize(
+    const secp256k1_context* ctx,
+    unsigned char *output,
+    const secp256k1_pedersen_commitment* commit
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Initialize a context for usage with Pedersen commitments. */
+void secp256k1_pedersen_context_initialize(secp256k1_context* ctx);
+
+/** Generate a pedersen commitment.
+ *  Returns 1: Commitment successfully created.
+ *          0: Error. The blinding factor is larger than the group order
+ *             (probability for random 32 byte number < 2^-127) or results in the
+ *             point at infinity. Retry with a different factor.
+ *  In:     ctx:        pointer to a context object, initialized for signing and Pedersen commitment (cannot be NULL)
+ *          blind:      pointer to a 32-byte blinding factor (cannot be NULL)
+ *          value:      unsigned 64-bit integer value to commit to.
+ *          gen:        additional generator 'h'
+ *  Out:    commit:     pointer to the commitment (cannot be NULL)
+ *
+ *  Blinding factors can be generated and verified in the same way as secp256k1 private keys for ECDSA.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_commit(
+  const secp256k1_context* ctx,
+  secp256k1_pedersen_commitment *commit,
+  const unsigned char *blind,
+  uint64_t value,
+  const secp256k1_generator *gen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
+
+/** Computes the sum of multiple positive and negative blinding factors.
+ *  Returns 1: Sum successfully computed.
+ *          0: Error. A blinding factor is larger than the group order
+ *             (probability for random 32 byte number < 2^-127). Retry with
+ *             different factors.
+ *  In:     ctx:        pointer to a context object (cannot be NULL)
+ *          blinds:     pointer to pointers to 32-byte character arrays for blinding factors. (cannot be NULL)
+ *          n:          number of factors pointed to by blinds.
+ *          npositive:       how many of the initial factors should be treated with a positive sign.
+ *  Out:    blind_out:  pointer to a 32-byte array for the sum (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_blind_sum(
+  const secp256k1_context* ctx,
+  unsigned char *blind_out,
+  const unsigned char * const *blinds,
+  size_t n,
+  size_t npositive
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Verify a tally of pedersen commitments
+ * Returns 1: commitments successfully sum to zero.
+ *         0: Commitments do not sum to zero or other error.
+ * In:     ctx:        pointer to a context object (cannot be NULL)
+ *         commits:    pointer to array of pointers to the commitments. (cannot be NULL if pcnt is non-zero)
+ *         pcnt:       number of commitments pointed to by commits.
+ *         ncommits:   pointer to array of pointers to the negative commitments. (cannot be NULL if ncnt is non-zero)
+ *         ncnt:       number of commitments pointed to by ncommits.
+ *
+ * This computes sum(commit[0..pcnt)) - sum(ncommit[0..ncnt)) == 0.
+ *
+ * A pedersen commitment is xG + vA where G and A are generators for the secp256k1 group and x is a blinding factor,
+ * while v is the committed value. For a collection of commitments to sum to zero, for each distinct generator
+ * A all blinding factors and all values must sum to zero.
+ *
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_verify_tally(
+  const secp256k1_context* ctx,
+  const secp256k1_pedersen_commitment * const* commits,
+  size_t pcnt,
+  const secp256k1_pedersen_commitment * const* ncommits,
+  size_t ncnt
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4);
+
+/** Sets the final Pedersen blinding factor correctly when the generators themselves
+ *  have blinding factors.
+ *
+ * Consider a generator of the form A' = A + rG, where A is the "real" generator
+ * but A' is the generator provided to verifiers. Then a Pedersen commitment
+ * P = vA' + r'G really has the form vA + (vr + r')G. To get all these (vr + r')
+ * to sum to zero for multiple commitments, we take three arrays consisting of
+ * the `v`s, `r`s, and `r'`s, respectively called `value`s, `generator_blind`s
+ * and `blinding_factor`s, and sum them.
+ *
+ * The function then subtracts the sum of all (vr + r') from the last element
+ * of the `blinding_factor` array, setting the total sum to zero.
+ *
+ * Returns 1: Blinding factor successfully computed.
+ *         0: Error. A blinding_factor or generator_blind are larger than the group
+ *            order (probability for random 32 byte number < 2^-127). Retry with
+ *            different values.
+ *
+ * In:                 ctx: pointer to a context object
+ *                   value: array of asset values, `v` in the above paragraph.
+ *                          May not be NULL unless `n_total` is 0.
+ *         generator_blind: array of asset blinding factors, `r` in the above paragraph
+ *                          May not be NULL unless `n_total` is 0.
+ *                 n_total: Total size of the above arrays
+ *                n_inputs: How many of the initial array elements represent commitments that
+ *                          will be negated in the final sum
+ * In/Out: blinding_factor: array of commitment blinding factors, `r'` in the above paragraph
+ *                          May not be NULL unless `n_total` is 0.
+ *                          the last value will be modified to get the total sum to zero.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_blind_generator_blind_sum(
+  const secp256k1_context* ctx,
+  const uint64_t *value,
+  const unsigned char* const* generator_blind,
+  unsigned char* const* blinding_factor,
+  size_t n_total,
+  size_t n_inputs
+);
+
+/** Initialize a context for usage with Pedersen commitments. */
+void secp256k1_rangeproof_context_initialize(secp256k1_context* ctx);
+
+/** Verify a proof that a committed value is within a range.
+ * Returns 1: Value is within the range [0..2^64), the specifically proven range is in the min/max value outputs.
+ *         0: Proof failed or other error.
+ * In:   ctx: pointer to a context object, initialized for range-proof and commitment (cannot be NULL)
+ *       commit: the commitment being proved. (cannot be NULL)
+ *       proof: pointer to character array with the proof. (cannot be NULL)
+ *       plen: length of proof in bytes.
+ *       extra_commit: additional data covered in rangeproof signature
+ *       extra_commit_len: length of extra_commit byte array (0 if NULL)
+ *       gen: additional generator 'h'
+ * Out:  min_value: pointer to a unsigned int64 which will be updated with the minimum value that commit could have. (cannot be NULL)
+ *       max_value: pointer to a unsigned int64 which will be updated with the maximum value that commit could have. (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_verify(
+  const secp256k1_context* ctx,
+  uint64_t *min_value,
+  uint64_t *max_value,
+  const secp256k1_pedersen_commitment *commit,
+  const unsigned char *proof,
+  size_t plen,
+  const unsigned char *extra_commit,
+  size_t extra_commit_len,
+  const secp256k1_generator* gen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(9);
+
+/** Verify a range proof proof and rewind the proof to recover information sent by its author.
+ *  Returns 1: Value is within the range [0..2^64), the specifically proven range is in the min/max value outputs, and the value and blinding were recovered.
+ *          0: Proof failed, rewind failed, or other error.
+ *  In:   ctx: pointer to a context object, initialized for range-proof and Pedersen commitment (cannot be NULL)
+ *        commit: the commitment being proved. (cannot be NULL)
+ *        proof: pointer to character array with the proof. (cannot be NULL)
+ *        plen: length of proof in bytes.
+ *        nonce: 32-byte secret nonce used by the prover (cannot be NULL)
+ *        extra_commit: additional data covered in rangeproof signature
+ *        extra_commit_len: length of extra_commit byte array (0 if NULL)
+ *        gen: additional generator 'h'
+ *  In/Out: blind_out: storage for the 32-byte blinding factor used for the commitment
+ *        value_out: pointer to an unsigned int64 which has the exact value of the commitment.
+ *        message_out: pointer to a 4096 byte character array to receive message data from the proof author.
+ *        outlen:  length of message data written to message_out.
+ *        min_value: pointer to an unsigned int64 which will be updated with the minimum value that commit could have. (cannot be NULL)
+ *        max_value: pointer to an unsigned int64 which will be updated with the maximum value that commit could have. (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_rewind(
+  const secp256k1_context* ctx,
+  unsigned char *blind_out,
+  uint64_t *value_out,
+  unsigned char *message_out,
+  size_t *outlen,
+  const unsigned char *nonce,
+  uint64_t *min_value,
+  uint64_t *max_value,
+  const secp256k1_pedersen_commitment *commit,
+  const unsigned char *proof,
+  size_t plen,
+  const unsigned char *extra_commit,
+  size_t extra_commit_len,
+  const secp256k1_generator *gen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8) SECP256K1_ARG_NONNULL(9) SECP256K1_ARG_NONNULL(10) SECP256K1_ARG_NONNULL(14);
+
+/** Author a proof that a committed value is within a range.
+ *  Returns 1: Proof successfully created.
+ *          0: Error
+ *  In:     ctx:    pointer to a context object, initialized for range-proof, signing, and Pedersen commitment (cannot be NULL)
+ *          proof:  pointer to array to receive the proof, can be up to 5134 bytes. (cannot be NULL)
+ *          min_value: constructs a proof where the verifer can tell the minimum value is at least the specified amount.
+ *          commit: the commitment being proved.
+ *          blind:  32-byte blinding factor used by commit.
+ *          nonce:  32-byte secret nonce used to initialize the proof (value can be reverse-engineered out of the proof if this secret is known.)
+ *          exp:    Base-10 exponent. Digits below above will be made public, but the proof will be made smaller. Allowed range is -1 to 18.
+ *                  (-1 is a special case that makes the value public. 0 is the most private.)
+ *          min_bits: Number of bits of the value to keep private. (0 = auto/minimal, - 64).
+ *          value:  Actual value of the commitment.
+ *          message: pointer to a byte array of data to be embedded in the rangeproof that can be recovered by rewinding the proof
+ *          msg_len: size of the message to be embedded in the rangeproof
+ *          extra_commit: additional data to be covered in rangeproof signature
+ *          extra_commit_len: length of extra_commit byte array (0 if NULL)
+ *          gen: additional generator 'h'
+ *  In/out: plen:   point to an integer with the size of the proof buffer and the size of the constructed proof.
+ *
+ *  If min_value or exp is non-zero then the value must be on the range [0, 2^63) to prevent the proof range from spanning past 2^64.
+ *
+ *  If exp is -1 the value is revealed by the proof (e.g. it proves that the proof is a blinding of a specific value, without revealing the blinding key.)
+ *
+ *  This can randomly fail with probability around one in 2^100. If this happens, buy a lottery ticket and retry with a different nonce or blinding.
+ *
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_sign(
+  const secp256k1_context* ctx,
+  unsigned char *proof,
+  size_t *plen,
+  uint64_t min_value,
+  const secp256k1_pedersen_commitment *commit,
+  const unsigned char *blind,
+  const unsigned char *nonce,
+  int exp,
+  int min_bits,
+  uint64_t value,
+  const unsigned char *message,
+  size_t msg_len,
+  const unsigned char *extra_commit,
+  size_t extra_commit_len,
+  const secp256k1_generator *gen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(15);
+
+/** Extract some basic information from a range-proof.
+ *  Returns 1: Information successfully extracted.
+ *          0: Decode failed.
+ *  In:   ctx: pointer to a context object
+ *        proof: pointer to character array with the proof.
+ *        plen: length of proof in bytes.
+ *  Out:  exp: Exponent used in the proof (-1 means the value isn't private).
+ *        mantissa: Number of bits covered by the proof.
+ *        min_value: pointer to an unsigned int64 which will be updated with the minimum value that commit could have. (cannot be NULL)
+ *        max_value: pointer to an unsigned int64 which will be updated with the maximum value that commit could have. (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_info(
+  const secp256k1_context* ctx,
+  int *exp,
+  int *mantissa,
+  uint64_t *min_value,
+  uint64_t *max_value,
+  const unsigned char *proof,
+  size_t plen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
+
+# ifdef __cplusplus
+}
+# endif
+
+#endif

src/secp256k1/include/secp256k1_surjectionproof.h

@@ -0,0 +1,216 @@
+#ifndef _SECP256K1_SURJECTIONPROOF_
+#define _SECP256K1_SURJECTIONPROOF_
+
+#include "secp256k1.h"
+#include "secp256k1_rangeproof.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/** Maximum number of inputs that may be given in a surjection proof */
+#define SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS 256
+
+/** Number of bytes a serialized surjection proof requires given the
+ *  number of inputs and the number of used inputs.
+ */
+#define SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES(n_inputs, n_used_inputs) \
+    (2 + (n_inputs + 7)/8 + 32 * (1 + (n_used_inputs)))
+
+/** Maximum number of bytes a serialized surjection proof requires. */
+#define SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX \
+    SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES(SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS, SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS)
+
+/** Opaque data structure that holds a parsed surjection proof
+ *
+ *  The exact representation of data inside is implementation defined and not
+ *  guaranteed to be portable between different platforms or versions. Nor is
+ *  it guaranteed to have any particular size, nor that identical proofs
+ *  will have identical representation. (That is, memcmp may return nonzero
+ *  even for identical proofs.)
+ *
+ *  To obtain these properties, instead use secp256k1_surjectionproof_parse
+ *  and secp256k1_surjectionproof_serialize to encode/decode proofs into a
+ *  well-defined format.
+ *
+ *  The representation is exposed to allow creation of these objects on the
+ *  stack; please *do not* use these internals directly.
+ */
+typedef struct {
+#ifdef VERIFY
+    /** Mark whether this proof has gone through `secp256k1_surjectionproof_initialize` */
+    int initialized;
+#endif
+    /** Total number of input asset tags */
+    size_t n_inputs;
+    /** Bitmap of which input tags are used in the surjection proof */
+    unsigned char used_inputs[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS / 8];
+    /** Borromean signature: e0, scalars */
+    unsigned char data[32 * (1 + SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS)];
+} secp256k1_surjectionproof;
+
+/** Parse a surjection proof
+ *
+ *  Returns: 1 when the proof could be parsed, 0 otherwise.
+ *  Args: ctx:    a secp256k1 context object
+ *  Out:  proof:  a pointer to a proof object
+ *  In:   input:  a pointer to the array to parse
+ *        inputlen: length of the array pointed to by input
+ *
+ *  The proof must consist of:
+ *    - A 2-byte little-endian total input count `n`
+ *    - A ceil(n/8)-byte bitmap indicating which inputs are used.
+ *    - A big-endian 32-byte borromean signature e0 value
+ *    - `m` big-endian 32-byte borromean signature s values, where `m`
+ *      is the number of set bits in the bitmap
+ */
+SECP256K1_API int secp256k1_surjectionproof_parse(
+  const secp256k1_context* ctx,
+  secp256k1_surjectionproof *proof,
+  const unsigned char *input,
+  size_t inputlen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Serialize a surjection proof
+ *
+ *  Returns: 1 if enough space was available to serialize, 0 otherwise
+ *  Args:   ctx:        a secp256k1 context object
+ *  Out:    output:     a pointer to an array to store the serialization
+ *  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:     proof:      a pointer to an initialized proof object
+ *
+ *  See secp256k1_surjectionproof_parse for details about the encoding.
+ */
+SECP256K1_API int secp256k1_surjectionproof_serialize(
+  const secp256k1_context* ctx,
+  unsigned char *output,
+  size_t *outputlen,
+  const secp256k1_surjectionproof *proof
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+
+/** Data structure that holds a fixed asset tag.
+ *
+ * This data type is *not* opaque. It will always be 32 bytes of whatever
+ * data the API user wants to use as an asset tag. Its contents have no
+ * semantic meaning to libsecp whatsoever.
+ */
+typedef struct {
+    unsigned char data[32];
+} secp256k1_fixed_asset_tag;
+
+/** Returns the total number of inputs a proof expects to be over.
+ *
+ * Returns: the number of inputs for the given proof
+ * In:   ctx: pointer to a context object
+ *     proof: a pointer to a proof object
+ */
+SECP256K1_API size_t secp256k1_surjectionproof_n_total_inputs(
+  const secp256k1_context* ctx,
+  const secp256k1_surjectionproof* proof
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
+
+/** Returns the actual number of inputs that a proof uses
+ *
+ * Returns: the number of inputs for the given proof
+ * In:   ctx: pointer to a context object
+ *     proof: a pointer to a proof object
+ */
+SECP256K1_API size_t secp256k1_surjectionproof_n_used_inputs(
+  const secp256k1_context* ctx,
+  const secp256k1_surjectionproof* proof
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
+
+/** Returns the total size this proof would take, in bytes, when serialized
+ *
+ * Returns: the total size
+ * In:   ctx: pointer to a context object
+ *     proof: a pointer to a proof object
+ */
+SECP256K1_API size_t secp256k1_surjectionproof_serialized_size(
+  const secp256k1_context* ctx,
+  const secp256k1_surjectionproof* proof
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
+
+/** Surjection proof initialization function; decides on inputs to use
+ * Returns 0: inputs could not be selected
+ *         n: inputs were selected after n iterations of random selection
+ *
+ * In:               ctx: pointer to a context object
+ *      fixed_input_tags: fixed input tags `A_i` for all inputs. (If the fixed tag is not known,
+ *                        e.g. in a coinjoin with others' inputs, an ephemeral tag can be given;
+ *                        this won't match the output tag but might be used in the anonymity set.)
+ *          n_input_tags: the number of entries in the fixed_input_tags array
+ *      n_input_tags_to_use: the number of inputs to select randomly to put in the anonymity set
+ *      fixed_output_tag: fixed output tag
+ *      max_n_iterations: the maximum number of iterations to do before giving up. Because the
+ *                        maximum number of inputs (SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS) is
+ *                        limited to 256 the probability of giving up is smaller than
+ *                        (255/256)^(n_input_tags_to_use*max_n_iterations).
+ *
+ *         random_seed32: a random seed to be used for input selection
+ * Out:            proof: The proof whose bitvector will be initialized. In case of failure,
+ *                        the state of the proof is undefined.
+ *          input_index: The index of the actual input that is secretly mapped to the output
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_surjectionproof_initialize(
+  const secp256k1_context* ctx,
+  secp256k1_surjectionproof* proof,
+  size_t *input_index,
+  const secp256k1_fixed_asset_tag* fixed_input_tags,
+  const size_t n_input_tags,
+  const size_t n_input_tags_to_use,
+  const secp256k1_fixed_asset_tag* fixed_output_tag,
+  const size_t n_max_iterations,
+  const unsigned char *random_seed32
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(7);
+
+/** Surjection proof generation function
+ * Returns 0: proof could not be created
+ *         1: proof was successfully created
+ *
+ * In:                   ctx: pointer to a context object, initialized for signing and verification
+ *      ephemeral_input_tags: the ephemeral asset tag of all inputs
+ *    n_ephemeral_input_tags: the number of entries in the ephemeral_input_tags array
+ *      ephemeral_output_tag: the ephemeral asset tag of the output
+ *               input_index: the index of the input that actually maps to the output
+ *        input_blinding_key: the blinding key of the input
+ *       output_blinding_key: the blinding key of the output
+ * In/Out: proof: The produced surjection proof. Must have already gone through `secp256k1_surjectionproof_initialize`
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_surjectionproof_generate(
+  const secp256k1_context* ctx,
+  secp256k1_surjectionproof* proof,
+  const secp256k1_generator* ephemeral_input_tags,
+  size_t n_ephemeral_input_tags,
+  const secp256k1_generator* ephemeral_output_tag,
+  size_t input_index,
+  const unsigned char *input_blinding_key,
+  const unsigned char *output_blinding_key
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8);
+
+
+/** Surjection proof verification function
+ * Returns 0: proof was invalid
+ *         1: proof was valid
+ *
+ * In:     ctx: pointer to a context object, initialized for signing and verification
+ *         proof: proof to be verified
+ *      ephemeral_input_tags: the ephemeral asset tag of all inputs
+ *    n_ephemeral_input_tags: the number of entries in the ephemeral_input_tags array
+ *      ephemeral_output_tag: the ephemeral asset tag of the output
+ */
+SECP256K1_API int secp256k1_surjectionproof_verify(
+  const secp256k1_context* ctx,
+  const secp256k1_surjectionproof* proof,
+  const secp256k1_generator* ephemeral_input_tags,
+  size_t n_ephemeral_input_tags,
+  const secp256k1_generator* ephemeral_output_tag
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif

src/secp256k1/include/secp256k1_whitelist.h

@@ -0,0 +1,152 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_WHITELIST_
+#define _SECP256K1_WHITELIST_
+
+#include "secp256k1.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#define SECP256K1_WHITELIST_MAX_N_KEYS	256
+
+/** Opaque data structure that holds a parsed whitelist proof
+ *
+ *  The exact representation of data inside is implementation defined and not
+ *  guaranteed to be portable between different platforms or versions. Nor is
+ *  it guaranteed to have any particular size, nor that identical signatures
+ *  will have identical representation. (That is, memcmp may return nonzero
+ *  even for identical signatures.)
+ *
+ *  To obtain these properties, instead use secp256k1_whitelist_signature_parse
+ *  and secp256k1_whitelist_signature_serialize to encode/decode signatures
+ *  into a well-defined format.
+ *
+ *  The representation is exposed to allow creation of these objects on the
+ *  stack; please *do not* use these internals directly. To learn the number
+ *  of keys for a signature, use `secp256k1_whitelist_signature_n_keys`.
+ */
+typedef struct {
+    size_t n_keys;
+    /* e0, scalars */
+    unsigned char data[32 * (1 + SECP256K1_WHITELIST_MAX_N_KEYS)];
+} secp256k1_whitelist_signature;
+
+/** Parse a whitelist signature
+ *
+ *  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 array to parse
+ *    input_len:  the length of the above array
+ *
+ *  The signature must consist of a 1-byte n_keys value, followed by a 32-byte
+ *  big endian e0 value, followed by n_keys many 32-byte big endian s values.
+ *  If n_keys falls outside of [0..SECP256K1_WHITELIST_MAX_N_KEYS] the encoding
+ *  is invalid.
+ *
+ *  The total length of the input array must therefore be 33 + 32 * n_keys.
+ *  If the length `input_len` does not match this value, parsing will fail.
+ *
+ *  After the call, sig will always be initialized. If parsing failed or any
+ *  scalar values overflow or are zero, the resulting sig value is guaranteed
+ *  to fail validation for any set of keys.
+ */
+SECP256K1_API int secp256k1_whitelist_signature_parse(
+    const secp256k1_context* ctx,
+    secp256k1_whitelist_signature *sig,
+    const unsigned char *input,
+    size_t input_len
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Returns the number of keys a signature expects to have.
+ *
+ *  Returns: the number of keys for the given signature
+ *  In: sig: a pointer to a signature object
+ */
+SECP256K1_API size_t secp256k1_whitelist_signature_n_keys(
+    const secp256k1_whitelist_signature *sig
+) SECP256K1_ARG_NONNULL(1);
+
+/** Serialize a whitelist signature
+ *
+ *  Returns: 1
+ *  Args:   ctx:        a secp256k1 context object
+ *  Out:    output64:   a pointer to an array to store the serialization
+ *  In/Out: output_len: length of the above array, updated with the actual serialized length
+ *  In:     sig:        a pointer to an initialized signature object
+ *
+ *  See secp256k1_whitelist_signature_parse for details about the encoding.
+ */
+SECP256K1_API int secp256k1_whitelist_signature_serialize(
+    const secp256k1_context* ctx,
+    unsigned char *output,
+    size_t *output_len,
+    const secp256k1_whitelist_signature *sig
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+
+/** Compute a whitelist signature
+ * Returns 1: signature was successfully created
+ *         0: signature was not successfully created
+ * In:     ctx: pointer to a context object, initialized for signing and verification
+ *         online_pubkeys: list of all online pubkeys
+ *         offline_pubkeys: list of all offline pubkeys
+ *         n_keys: the number of entries in each of the above two arrays
+ *         sub_pubkey: the key to be whitelisted
+ *         online_seckey: the secret key to the signer's online pubkey
+ *         summed_seckey: the secret key to the sum of (whitelisted key, signer's offline pubkey)
+ *         index: the signer's index in the lists of keys
+ *         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)
+ * Out:    sig: The produced signature.
+ *
+ * The signatures are of the list of all passed pubkeys in the order
+ *     ( whitelist, online_1, offline_1, online_2, offline_2, ... )
+ * The verification key list consists of
+ *     online_i + H(offline_i + whitelist)(offline_i + whitelist)
+ * for each public key pair (offline_i, offline_i). Here H means sha256 of the
+ * compressed serialization of the key.
+ */
+SECP256K1_API int secp256k1_whitelist_sign(
+  const secp256k1_context* ctx,
+  secp256k1_whitelist_signature *sig,
+  const secp256k1_pubkey *online_pubkeys,
+  const secp256k1_pubkey *offline_pubkeys,
+  const size_t n_keys,
+  const secp256k1_pubkey *sub_pubkey,
+  const unsigned char *online_seckey,
+  const unsigned char *summed_seckey,
+  const size_t index,
+  secp256k1_nonce_function noncefp,
+  const void *noncedata
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8);
+
+/** Verify a whitelist signature
+ * Returns 1: signature is valid
+ *         0: signature is not valid
+ * In:     ctx: pointer to a context object, initialized for signing and verification
+ *         sig: the signature to be verified
+ *         online_pubkeys: list of all online pubkeys
+ *         offline_pubkeys: list of all offline pubkeys
+ *         n_keys: the number of entries in each of the above two arrays
+ *         sub_pubkey: the key to be whitelisted
+ */
+SECP256K1_API int secp256k1_whitelist_verify(
+  const secp256k1_context* ctx,
+  const secp256k1_whitelist_signature *sig,
+  const secp256k1_pubkey *online_pubkeys,
+  const secp256k1_pubkey *offline_pubkeys,
+  const size_t n_keys,
+  const secp256k1_pubkey *sub_pubkey
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif

src/secp256k1/sage/shallue_van_de_woestijne.sage

@@ -0,0 +1,51 @@
+
+### http://www.di.ens.fr/~fouque/pub/latincrypt12.pdf
+
+# Parameters for secp256k1
+p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F
+a = 0
+b = 7
+F = FiniteField (p)
+C = EllipticCurve ([F(a), F(b)])
+
+def svdw(t):
+    sqrt_neg_3 = F(-3).nth_root(2)
+
+    ## Compute candidate x values
+    w  = sqrt_neg_3 * t / (1 + b + t^2)
+    x = [ F(0), F(0), F(0) ]
+    x[0] = (-1 + sqrt_neg_3) / 2 - t * w
+    x[1] = -1 - x[0]
+    x[2] = 1 + 1 / w^2
+
+    print
+    print "On %2d" % t
+    print " x1 %064x" % x[0]
+    print " x2 %064x" % x[1]
+    print " x3 %064x" % x[2]
+
+    ## Select which to use
+    alph = jacobi_symbol(x[0]^3 + b, p)
+    beta = jacobi_symbol(x[1]^3 + b, p)
+    if alph == 1 and beta == 1:
+        i = 0
+    elif alph == 1 and beta == -1:
+        i = 0
+    elif alph == -1 and beta == 1:
+        i = 1
+    elif alph == -1 and beta == -1:
+        i = 2
+    else:
+        print "Help! I don't understand Python!"
+
+    ## Expand to full point
+    sign = 1 - 2 * (int(F(t)) % 2)
+    ret_x = x[i]
+    ret_y = sign * F(x[i]^3 + b).nth_root(2)
+    return C.point((ret_x, ret_y))
+
+
+## main
+for i in range(1, 11):
+    res = svdw(i)
+    print "Result: %064x %064x" % res.xy()

src/secp256k1/src/bench.h

@@ -8,6 +8,7 @@
 #define SECP256K1_BENCH_H
 
 #include <stdio.h>
+#include <string.h>
 #include <math.h>
 #include "sys/time.h"
 
@@ -63,4 +64,19 @@ void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), v
     printf("us\n");
 }
 
+int have_flag(int argc, char** argv, char *flag) {
+    char** argm = argv + argc;
+    argv++;
+    if (argv == argm) {
+        return 1;
+    }
+    while (argv != NULL && argv != argm) {
+        if (strcmp(*argv, flag) == 0) {
+            return 1;
+        }
+        argv++;
+    }
+    return 0;
+}
+
 #endif /* SECP256K1_BENCH_H */

src/secp256k1/src/bench_ecdh.c

@@ -15,11 +15,11 @@ typedef struct {
     secp256k1_context *ctx;
     secp256k1_pubkey point;
     unsigned char scalar[32];
-} bench_ecdh_t;
+} bench_ecdh_data;
 
 static void bench_ecdh_setup(void* arg) {
     int i;
-    bench_ecdh_t *data = (bench_ecdh_t*)arg;
+    bench_ecdh_data *data = (bench_ecdh_data*)arg;
     const unsigned char point[] = {
         0x03,
         0x54, 0x94, 0xc1, 0x5d, 0x32, 0x09, 0x97, 0x06,
@@ -39,15 +39,15 @@ static void bench_ecdh_setup(void* arg) {
 static void bench_ecdh(void* arg) {
     int i;
     unsigned char res[32];
-    bench_ecdh_t *data = (bench_ecdh_t*)arg;
+    bench_ecdh_data *data = (bench_ecdh_data*)arg;
 
     for (i = 0; i < 20000; i++) {
-        CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar) == 1);
+        CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar, NULL, NULL) == 1);
     }
 }
 
 int main(void) {
-    bench_ecdh_t data;
+    bench_ecdh_data data;
 
     run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, 20000);
     return 0;

src/secp256k1/src/bench_ecmult.c

@@ -0,0 +1,196 @@
+/**********************************************************************
+ * Copyright (c) 2017 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+#include <stdio.h>
+
+#include "include/secp256k1.h"
+
+#include "util.h"
+#include "hash_impl.h"
+#include "num_impl.h"
+#include "field_impl.h"
+#include "group_impl.h"
+#include "scalar_impl.h"
+#include "ecmult_impl.h"
+#include "bench.h"
+#include "secp256k1.c"
+
+#define POINTS 32768
+#define ITERS 10000
+
+typedef struct {
+    /* Setup once in advance */
+    secp256k1_context* ctx;
+    secp256k1_scratch_space* scratch;
+    secp256k1_scalar* scalars;
+    secp256k1_ge* pubkeys;
+    secp256k1_scalar* seckeys;
+    secp256k1_gej* expected_output;
+    secp256k1_ecmult_multi_func ecmult_multi;
+
+    /* Changes per test */
+    size_t count;
+    int includes_g;
+
+    /* Changes per test iteration */
+    size_t offset1;
+    size_t offset2;
+
+    /* Test output. */
+    secp256k1_gej* output;
+} bench_data;
+
+static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) {
+    bench_data* data = (bench_data*)arg;
+    if (data->includes_g) ++idx;
+    if (idx == 0) {
+        *sc = data->scalars[data->offset1];
+        *ge = secp256k1_ge_const_g;
+    } else {
+        *sc = data->scalars[(data->offset1 + idx) % POINTS];
+        *ge = data->pubkeys[(data->offset2 + idx - 1) % POINTS];
+    }
+    return 1;
+}
+
+static void bench_ecmult(void* arg) {
+    bench_data* data = (bench_data*)arg;
+
+    size_t count = data->count;
+    int includes_g = data->includes_g;
+    size_t iters = 1 + ITERS / count;
+    size_t iter;
+
+    for (iter = 0; iter < iters; ++iter) {
+        data->ecmult_multi(&data->ctx->ecmult_ctx, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_callback, arg, count - includes_g);
+        data->offset1 = (data->offset1 + count) % POINTS;
+        data->offset2 = (data->offset2 + count - 1) % POINTS;
+    }
+}
+
+static void bench_ecmult_setup(void* arg) {
+    bench_data* data = (bench_data*)arg;
+    data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
+    data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
+}
+
+static void bench_ecmult_teardown(void* arg) {
+    bench_data* data = (bench_data*)arg;
+    size_t iters = 1 + ITERS / data->count;
+    size_t iter;
+    /* Verify the results in teardown, to avoid doing comparisons while benchmarking. */
+    for (iter = 0; iter < iters; ++iter) {
+        secp256k1_gej tmp;
+        secp256k1_gej_add_var(&tmp, &data->output[iter], &data->expected_output[iter], NULL);
+        CHECK(secp256k1_gej_is_infinity(&tmp));
+    }
+}
+
+static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) {
+    secp256k1_sha256 sha256;
+    unsigned char c[11] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0};
+    unsigned char buf[32];
+    int overflow = 0;
+    c[6] = num;
+    c[7] = num >> 8;
+    c[8] = num >> 16;
+    c[9] = num >> 24;
+    secp256k1_sha256_initialize(&sha256);
+    secp256k1_sha256_write(&sha256, c, sizeof(c));
+    secp256k1_sha256_finalize(&sha256, buf);
+    secp256k1_scalar_set_b32(scalar, buf, &overflow);
+    CHECK(!overflow);
+}
+
+static void run_test(bench_data* data, size_t count, int includes_g) {
+    char str[32];
+    static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+    size_t iters = 1 + ITERS / count;
+    size_t iter;
+
+    data->count = count;
+    data->includes_g = includes_g;
+
+    /* Compute (the negation of) the expected results directly. */
+    data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
+    data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
+    for (iter = 0; iter < iters; ++iter) {
+        secp256k1_scalar tmp;
+        secp256k1_scalar total = data->scalars[(data->offset1++) % POINTS];
+        size_t i = 0;
+        for (i = 0; i + 1 < count; ++i) {
+            secp256k1_scalar_mul(&tmp, &data->seckeys[(data->offset2++) % POINTS], &data->scalars[(data->offset1++) % POINTS]);
+            secp256k1_scalar_add(&total, &total, &tmp);
+        }
+        secp256k1_scalar_negate(&total, &total);
+        secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->expected_output[iter], NULL, &zero, &total);
+    }
+
+    /* Run the benchmark. */
+    sprintf(str, includes_g ? "ecmult_%ig" : "ecmult_%i", (int)count);
+    run_benchmark(str, bench_ecmult, bench_ecmult_setup, bench_ecmult_teardown, data, 10, count * (1 + ITERS / count));
+}
+
+int main(int argc, char **argv) {
+    bench_data data;
+    int i, p;
+    secp256k1_gej* pubkeys_gej;
+    size_t scratch_size;
+
+    if (argc > 1) {
+        if(have_flag(argc, argv, "pippenger_wnaf")) {
+            printf("Using pippenger_wnaf:\n");
+            data.ecmult_multi = secp256k1_ecmult_pippenger_batch_single;
+        } else if(have_flag(argc, argv, "strauss_wnaf")) {
+            printf("Using strauss_wnaf:\n");
+            data.ecmult_multi = secp256k1_ecmult_strauss_batch_single;
+        }
+    } else {
+        data.ecmult_multi = secp256k1_ecmult_multi_var;
+    }
+
+    /* Allocate stuff */
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+    scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16;
+    data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size);
+    data.scalars = malloc(sizeof(secp256k1_scalar) * POINTS);
+    data.seckeys = malloc(sizeof(secp256k1_scalar) * POINTS);
+    data.pubkeys = malloc(sizeof(secp256k1_ge) * POINTS);
+    data.expected_output = malloc(sizeof(secp256k1_gej) * (ITERS + 1));
+    data.output = malloc(sizeof(secp256k1_gej) * (ITERS + 1));
+
+    /* Generate a set of scalars, and private/public keypairs. */
+    pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS);
+    secp256k1_gej_set_ge(&pubkeys_gej[0], &secp256k1_ge_const_g);
+    secp256k1_scalar_set_int(&data.seckeys[0], 1);
+    for (i = 0; i < POINTS; ++i) {
+        generate_scalar(i, &data.scalars[i]);
+        if (i) {
+            secp256k1_gej_double_var(&pubkeys_gej[i], &pubkeys_gej[i - 1], NULL);
+            secp256k1_scalar_add(&data.seckeys[i], &data.seckeys[i - 1], &data.seckeys[i - 1]);
+        }
+    }
+    secp256k1_ge_set_all_gej_var(data.pubkeys, pubkeys_gej, POINTS);
+    free(pubkeys_gej);
+
+    for (i = 1; i <= 8; ++i) {
+        run_test(&data, i, 1);
+    }
+
+    for (p = 0; p <= 11; ++p) {
+        for (i = 9; i <= 16; ++i) {
+            run_test(&data, i << p, 1);
+        }
+    }
+    secp256k1_context_destroy(data.ctx);
+    secp256k1_scratch_space_destroy(data.scratch);
+    free(data.scalars);
+    free(data.pubkeys);
+    free(data.seckeys);
+    free(data.output);
+    free(data.expected_output);
+
+    return(0);
+}

src/secp256k1/src/bench_generator.c

@@ -0,0 +1,59 @@
+/**********************************************************************
+ * Copyright (c) 2016 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <stdint.h>
+#include <string.h>
+
+#include "include/secp256k1_generator.h"
+#include "util.h"
+#include "bench.h"
+
+typedef struct {
+    secp256k1_context* ctx;
+    unsigned char key[32];
+    unsigned char blind[32];
+} bench_generator_t;
+
+static void bench_generator_setup(void* arg) {
+    bench_generator_t *data = (bench_generator_t*)arg;
+    memset(data->key, 0x31, 32);
+    memset(data->blind, 0x13, 32);
+}
+
+static void bench_generator_generate(void* arg) {
+    int i;
+    bench_generator_t *data = (bench_generator_t*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        secp256k1_generator gen;
+        CHECK(secp256k1_generator_generate(data->ctx, &gen, data->key));
+        data->key[i & 31]++;
+    }
+}
+
+static void bench_generator_generate_blinded(void* arg) {
+    int i;
+    bench_generator_t *data = (bench_generator_t*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        secp256k1_generator gen;
+        CHECK(secp256k1_generator_generate_blinded(data->ctx, &gen, data->key, data->blind));
+        data->key[1 + (i & 30)]++;
+        data->blind[1 + (i & 30)]++;
+    }
+}
+
+int main(void) {
+    bench_generator_t data;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+    run_benchmark("generator_generate", bench_generator_generate, bench_generator_setup, NULL, &data, 10, 20000);
+    run_benchmark("generator_generate_blinded", bench_generator_generate_blinded, bench_generator_setup, NULL, &data, 10, 20000);
+
+    secp256k1_context_destroy(data.ctx);
+    return 0;
+}

src/secp256k1/src/bench_internal.c

@@ -25,10 +25,10 @@ typedef struct {
     secp256k1_gej gej_x, gej_y;
     unsigned char data[64];
     int wnaf[256];
-} bench_inv_t;
+} bench_inv;
 
 void bench_setup(void* arg) {
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     static const unsigned char init_x[32] = {
         0x02, 0x03, 0x05, 0x07, 0x0b, 0x0d, 0x11, 0x13,
@@ -58,7 +58,7 @@ void bench_setup(void* arg) {
 
 void bench_scalar_add(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000000; i++) {
         secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
@@ -67,7 +67,7 @@ void bench_scalar_add(void* arg) {
 
 void bench_scalar_negate(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000000; i++) {
         secp256k1_scalar_negate(&data->scalar_x, &data->scalar_x);
@@ -76,7 +76,7 @@ void bench_scalar_negate(void* arg) {
 
 void bench_scalar_sqr(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_scalar_sqr(&data->scalar_x, &data->scalar_x);
@@ -85,7 +85,7 @@ void bench_scalar_sqr(void* arg) {
 
 void bench_scalar_mul(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_scalar_mul(&data->scalar_x, &data->scalar_x, &data->scalar_y);
@@ -95,7 +95,7 @@ void bench_scalar_mul(void* arg) {
 #ifdef USE_ENDOMORPHISM
 void bench_scalar_split(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_scalar l, r;
@@ -107,7 +107,7 @@ void bench_scalar_split(void* arg) {
 
 void bench_scalar_inverse(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000; i++) {
         secp256k1_scalar_inverse(&data->scalar_x, &data->scalar_x);
@@ -117,7 +117,7 @@ void bench_scalar_inverse(void* arg) {
 
 void bench_scalar_inverse_var(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000; i++) {
         secp256k1_scalar_inverse_var(&data->scalar_x, &data->scalar_x);
@@ -127,7 +127,7 @@ void bench_scalar_inverse_var(void* arg) {
 
 void bench_field_normalize(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000000; i++) {
         secp256k1_fe_normalize(&data->fe_x);
@@ -136,7 +136,7 @@ void bench_field_normalize(void* arg) {
 
 void bench_field_normalize_weak(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 2000000; i++) {
         secp256k1_fe_normalize_weak(&data->fe_x);
@@ -145,7 +145,7 @@ void bench_field_normalize_weak(void* arg) {
 
 void bench_field_mul(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_fe_mul(&data->fe_x, &data->fe_x, &data->fe_y);
@@ -154,7 +154,7 @@ void bench_field_mul(void* arg) {
 
 void bench_field_sqr(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_fe_sqr(&data->fe_x, &data->fe_x);
@@ -163,7 +163,7 @@ void bench_field_sqr(void* arg) {
 
 void bench_field_inverse(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_fe_inv(&data->fe_x, &data->fe_x);
@@ -173,7 +173,7 @@ void bench_field_inverse(void* arg) {
 
 void bench_field_inverse_var(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_fe_inv_var(&data->fe_x, &data->fe_x);
@@ -183,7 +183,7 @@ void bench_field_inverse_var(void* arg) {
 
 void bench_field_sqrt(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_fe_sqrt(&data->fe_x, &data->fe_x);
@@ -193,7 +193,7 @@ void bench_field_sqrt(void* arg) {
 
 void bench_group_double_var(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_gej_double_var(&data->gej_x, &data->gej_x, NULL);
@@ -202,7 +202,7 @@ void bench_group_double_var(void* arg) {
 
 void bench_group_add_var(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_gej_add_var(&data->gej_x, &data->gej_x, &data->gej_y, NULL);
@@ -211,7 +211,7 @@ void bench_group_add_var(void* arg) {
 
 void bench_group_add_affine(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_gej_add_ge(&data->gej_x, &data->gej_x, &data->ge_y);
@@ -220,7 +220,7 @@ void bench_group_add_affine(void* arg) {
 
 void bench_group_add_affine_var(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 200000; i++) {
         secp256k1_gej_add_ge_var(&data->gej_x, &data->gej_x, &data->ge_y, NULL);
@@ -229,7 +229,7 @@ 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;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_gej_has_quad_y_var(&data->gej_x);
@@ -238,7 +238,7 @@ void bench_group_jacobi_var(void* arg) {
 
 void bench_ecmult_wnaf(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar_x, WINDOW_A);
@@ -248,10 +248,10 @@ void bench_ecmult_wnaf(void* arg) {
 
 void bench_wnaf_const(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
+    bench_inv *data = (bench_inv*)arg;
 
     for (i = 0; i < 20000; i++) {
-        secp256k1_wnaf_const(data->wnaf, data->scalar_x, WINDOW_A);
+        secp256k1_wnaf_const(data->wnaf, data->scalar_x, WINDOW_A, 256);
         secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
@@ -259,8 +259,8 @@ void bench_wnaf_const(void* arg) {
 
 void bench_sha256(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
-    secp256k1_sha256_t sha;
+    bench_inv *data = (bench_inv*)arg;
+    secp256k1_sha256 sha;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_sha256_initialize(&sha);
@@ -271,8 +271,8 @@ void bench_sha256(void* arg) {
 
 void bench_hmac_sha256(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
-    secp256k1_hmac_sha256_t hmac;
+    bench_inv *data = (bench_inv*)arg;
+    secp256k1_hmac_sha256 hmac;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_hmac_sha256_initialize(&hmac, data->data, 32);
@@ -283,8 +283,8 @@ void bench_hmac_sha256(void* arg) {
 
 void bench_rfc6979_hmac_sha256(void* arg) {
     int i;
-    bench_inv_t *data = (bench_inv_t*)arg;
-    secp256k1_rfc6979_hmac_sha256_t rng;
+    bench_inv *data = (bench_inv*)arg;
+    secp256k1_rfc6979_hmac_sha256 rng;
 
     for (i = 0; i < 20000; i++) {
         secp256k1_rfc6979_hmac_sha256_initialize(&rng, data->data, 64);
@@ -311,7 +311,7 @@ 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;
+    bench_inv *data = (bench_inv*)arg;
     secp256k1_num nx, norder;
 
     secp256k1_scalar_get_num(&nx, &data->scalar_x);
@@ -324,23 +324,8 @@ void bench_num_jacobi(void* arg) {
 }
 #endif
 
-int have_flag(int argc, char** argv, char *flag) {
-    char** argm = argv + argc;
-    argv++;
-    if (argv == argm) {
-        return 1;
-    }
-    while (argv != NULL && argv != argm) {
-        if (strcmp(*argv, flag) == 0) {
-            return 1;
-        }
-        argv++;
-    }
-    return 0;
-}
-
 int main(int argc, char **argv) {
-    bench_inv_t data;
+    bench_inv data;
     if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, 2000000);
     if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, 2000000);
     if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "sqr")) run_benchmark("scalar_sqr", bench_scalar_sqr, bench_setup, NULL, &data, 10, 200000);

src/secp256k1/src/bench_rangeproof.c

@@ -0,0 +1,63 @@
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Pieter Wuille, Gregory Maxwell            *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <stdint.h>
+
+#include "include/secp256k1_rangeproof.h"
+#include "util.h"
+#include "bench.h"
+
+typedef struct {
+    secp256k1_context* ctx;
+    secp256k1_pedersen_commitment commit;
+    unsigned char proof[5134];
+    unsigned char blind[32];
+    size_t len;
+    int min_bits;
+    uint64_t v;
+} bench_rangeproof_t;
+
+static void bench_rangeproof_setup(void* arg) {
+    int i;
+    uint64_t minv;
+    uint64_t maxv;
+    bench_rangeproof_t *data = (bench_rangeproof_t*)arg;
+
+    data->v = 0;
+    for (i = 0; i < 32; i++) data->blind[i] = i + 1;
+    CHECK(secp256k1_pedersen_commit(data->ctx, &data->commit, data->blind, data->v, secp256k1_generator_h));
+    data->len = 5134;
+    CHECK(secp256k1_rangeproof_sign(data->ctx, data->proof, &data->len, 0, &data->commit, data->blind, (const unsigned char*)&data->commit, 0, data->min_bits, data->v, NULL, 0, NULL, 0, secp256k1_generator_h));
+    CHECK(secp256k1_rangeproof_verify(data->ctx, &minv, &maxv, &data->commit, data->proof, data->len, NULL, 0, secp256k1_generator_h));
+}
+
+static void bench_rangeproof(void* arg) {
+    int i;
+    bench_rangeproof_t *data = (bench_rangeproof_t*)arg;
+
+    for (i = 0; i < 1000; i++) {
+        int j;
+        uint64_t minv;
+        uint64_t maxv;
+        j = secp256k1_rangeproof_verify(data->ctx, &minv, &maxv, &data->commit, data->proof, data->len, NULL, 0, secp256k1_generator_h);
+        for (j = 0; j < 4; j++) {
+            data->proof[j + 2 + 32 *((data->min_bits + 1) >> 1) - 4] = (i >> 8)&255;
+        }
+    }
+}
+
+int main(void) {
+    bench_rangeproof_t data;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+    data.min_bits = 32;
+
+    run_benchmark("rangeproof_verify_bit", bench_rangeproof, bench_rangeproof_setup, NULL, &data, 10, 1000 * data.min_bits);
+
+    secp256k1_context_destroy(data.ctx);
+    return 0;
+}

src/secp256k1/src/bench_recover.c

@@ -13,11 +13,11 @@ typedef struct {
     secp256k1_context *ctx;
     unsigned char msg[32];
     unsigned char sig[64];
-} bench_recover_t;
+} bench_recover_data;
 
 void bench_recover(void* arg) {
     int i;
-    bench_recover_t *data = (bench_recover_t*)arg;
+    bench_recover_data *data = (bench_recover_data*)arg;
     secp256k1_pubkey pubkey;
     unsigned char pubkeyc[33];
 
@@ -38,7 +38,7 @@ void bench_recover(void* arg) {
 
 void bench_recover_setup(void* arg) {
     int i;
-    bench_recover_t *data = (bench_recover_t*)arg;
+    bench_recover_data *data = (bench_recover_data*)arg;
 
     for (i = 0; i < 32; i++) {
         data->msg[i] = 1 + i;
@@ -49,7 +49,7 @@ void bench_recover_setup(void* arg) {
 }
 
 int main(void) {
-    bench_recover_t data;
+    bench_recover_data data;
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
 

src/secp256k1/src/bench_sign.c

@@ -12,11 +12,11 @@ typedef struct {
     secp256k1_context* ctx;
     unsigned char msg[32];
     unsigned char key[32];
-} bench_sign_t;
+} bench_sign;
 
 static void bench_sign_setup(void* arg) {
     int i;
-    bench_sign_t *data = (bench_sign_t*)arg;
+    bench_sign *data = (bench_sign*)arg;
 
     for (i = 0; i < 32; i++) {
         data->msg[i] = i + 1;
@@ -26,9 +26,9 @@ static void bench_sign_setup(void* arg) {
     }
 }
 
-static void bench_sign(void* arg) {
+static void bench_sign_run(void* arg) {
     int i;
-    bench_sign_t *data = (bench_sign_t*)arg;
+    bench_sign *data = (bench_sign*)arg;
 
     unsigned char sig[74];
     for (i = 0; i < 20000; i++) {
@@ -45,11 +45,11 @@ static void bench_sign(void* arg) {
 }
 
 int main(void) {
-    bench_sign_t data;
+    bench_sign data;
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
 
-    run_benchmark("ecdsa_sign", bench_sign, bench_sign_setup, NULL, &data, 10, 20000);
+    run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, 20000);
 
     secp256k1_context_destroy(data.ctx);
     return 0;

src/secp256k1/src/bench_whitelist.c

@@ -0,0 +1,104 @@
+/**********************************************************************
+ * Copyright (c) 2017 Jonas Nick                                      *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+#include <stdio.h>
+
+#include "include/secp256k1.h"
+
+#include "include/secp256k1_whitelist.h"
+#include "bench.h"
+#include "util.h"
+#include "hash_impl.h"
+#include "num_impl.h"
+#include "scalar_impl.h"
+#include "testrand_impl.h"
+
+#define MAX_N_KEYS 30
+
+typedef struct {
+    secp256k1_context* ctx;
+    unsigned char online_seckey[MAX_N_KEYS][32];
+    unsigned char summed_seckey[MAX_N_KEYS][32];
+    secp256k1_pubkey online_pubkeys[MAX_N_KEYS];
+    secp256k1_pubkey offline_pubkeys[MAX_N_KEYS];
+    unsigned char csub[32];
+    secp256k1_pubkey sub_pubkey;
+    secp256k1_whitelist_signature sig;
+    size_t n_keys;
+} bench_data;
+
+static void bench_whitelist(void* arg) {
+    bench_data* data = (bench_data*)arg;
+    CHECK(secp256k1_whitelist_verify(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey) == 1);
+}
+
+static void bench_whitelist_setup(void* arg) {
+    bench_data* data = (bench_data*)arg;
+    int i = 0;
+    CHECK(secp256k1_whitelist_sign(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey, data->online_seckey[i], data->summed_seckey[i], i, NULL, NULL));
+}
+
+static void run_test(bench_data* data) {
+    char str[32];
+    sprintf(str, "whitelist_%i", (int)data->n_keys);
+    run_benchmark(str, bench_whitelist, bench_whitelist_setup, NULL, data, 100, 1);
+}
+
+void random_scalar_order(secp256k1_scalar *num) {
+    do {
+        unsigned char b32[32];
+        int overflow = 0;
+        secp256k1_rand256(b32);
+        secp256k1_scalar_set_b32(num, b32, &overflow);
+        if (overflow || secp256k1_scalar_is_zero(num)) {
+            continue;
+        }
+        break;
+    } while(1);
+}
+
+int main(void) {
+    bench_data data;
+    size_t i;
+    size_t n_keys = 30;
+    secp256k1_scalar ssub;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+    /* Start with subkey */
+    random_scalar_order(&ssub);
+    secp256k1_scalar_get_b32(data.csub, &ssub);
+    CHECK(secp256k1_ec_seckey_verify(data.ctx, data.csub) == 1);
+    CHECK(secp256k1_ec_pubkey_create(data.ctx, &data.sub_pubkey, data.csub) == 1);
+    /* Then offline and online whitelist keys */
+    for (i = 0; i < n_keys; i++) {
+        secp256k1_scalar son, soff;
+
+        /* Create two keys */
+        random_scalar_order(&son);
+        secp256k1_scalar_get_b32(data.online_seckey[i], &son);
+        CHECK(secp256k1_ec_seckey_verify(data.ctx, data.online_seckey[i]) == 1);
+        CHECK(secp256k1_ec_pubkey_create(data.ctx, &data.online_pubkeys[i], data.online_seckey[i]) == 1);
+
+        random_scalar_order(&soff);
+        secp256k1_scalar_get_b32(data.summed_seckey[i], &soff);
+        CHECK(secp256k1_ec_seckey_verify(data.ctx, data.summed_seckey[i]) == 1);
+        CHECK(secp256k1_ec_pubkey_create(data.ctx, &data.offline_pubkeys[i], data.summed_seckey[i]) == 1);
+
+        /* Make summed_seckey correspond to the sum of offline_pubkey and sub_pubkey */
+        secp256k1_scalar_add(&soff, &soff, &ssub);
+        secp256k1_scalar_get_b32(data.summed_seckey[i], &soff);
+        CHECK(secp256k1_ec_seckey_verify(data.ctx, data.summed_seckey[i]) == 1);
+    }
+
+    /* Run test */
+    for (i = 1; i <= n_keys; ++i) {
+        data.n_keys = i;
+        run_test(&data);
+    }
+
+    secp256k1_context_destroy(data.ctx);
+    return(0);
+}

src/secp256k1/src/ecmult.h

@@ -1,5 +1,5 @@
 /**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra      *
  * Distributed under the MIT software license, see the accompanying   *
  * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
  **********************************************************************/
@@ -9,6 +9,8 @@
 
 #include "num.h"
 #include "group.h"
+#include "scalar.h"
+#include "scratch.h"
 
 typedef struct {
     /* For accelerating the computation of a*P + b*G: */
@@ -28,4 +30,18 @@ static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx
 /** Double multiply: R = na*A + ng*G */
 static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng);
 
+typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data);
+
+/**
+ * Multi-multiply: R = inp_g_sc * G + sum_i ni * Ai.
+ * Chooses the right algorithm for a given number of points and scratch space
+ * size. Resets and overwrites the given scratch space. If the points do not
+ * fit in the scratch space the algorithm is repeatedly run with batches of
+ * points.
+ * Returns: 1 on success (including when inp_g_sc is NULL and n is 0)
+ *          0 if there is not enough scratch space for a single point or
+ *          callback returns 0
+ */
+static int secp256k1_ecmult_multi_var(const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n);
+
 #endif /* SECP256K1_ECMULT_H */

src/secp256k1/src/ecmult_const.h

@@ -10,6 +10,8 @@
 #include "scalar.h"
 #include "group.h"
 
-static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q);
+/* Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus
+ * one because we internally sometimes add 2 to the number during the WNAF conversion. */
+static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits);
 
 #endif /* SECP256K1_ECMULT_CONST_H */

src/secp256k1/src/ecmult_const_impl.h

@@ -12,13 +12,6 @@
 #include "ecmult_const.h"
 #include "ecmult_impl.h"
 
-#ifdef USE_ENDOMORPHISM
-    #define WNAF_BITS 128
-#else
-    #define WNAF_BITS 256
-#endif
-#define WNAF_SIZE(w) ((WNAF_BITS + (w) - 1) / (w))
-
 /* This is like `ECMULT_TABLE_GET_GE` but is constant time */
 #define ECMULT_CONST_TABLE_GET_GE(r,pre,n,w) do { \
     int m; \
@@ -55,7 +48,7 @@
  *
  *  Numbers reference steps of `Algorithm SPA-resistant Width-w NAF with Odd Scalar` on pp. 335
  */
-static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) {
+static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w, int size) {
     int global_sign;
     int skew = 0;
     int word = 0;
@@ -74,9 +67,14 @@ static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) {
      * 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, 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 */
+     * this, and having the caller compensate after doing the multiplication.
+     *
+     * In fact, we _do_ want to negate numbers to minimize their bit-lengths (and in
+     * particular, to ensure that the outputs from the endomorphism-split fit into
+     * 128 bits). If we negate, the parity of our number flips, inverting which of
+     * {1, 2} we want to add to the scalar when ensuring that it's odd. Further
+     * complicating things, -1 interacts badly with `secp256k1_scalar_cadd_bit` and
+     * we need to special-case it in this logic. */
     flip = secp256k1_scalar_is_high(&s);
     /* We add 1 to even numbers, 2 to odd ones, noting that negation flips parity */
     bit = flip ^ !secp256k1_scalar_is_even(&s);
@@ -95,7 +93,7 @@ static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) {
 
     /* 4 */
     u_last = secp256k1_scalar_shr_int(&s, w);
-    while (word * w < WNAF_BITS) {
+    while (word * w < size) {
         int sign;
         int even;
 
@@ -115,37 +113,44 @@ static int secp256k1_wnaf_const(int *wnaf, secp256k1_scalar s, int w) {
     wnaf[word] = u * global_sign;
 
     VERIFY_CHECK(secp256k1_scalar_is_zero(&s));
-    VERIFY_CHECK(word == WNAF_SIZE(w));
+    VERIFY_CHECK(word == WNAF_SIZE_BITS(size, w));
     return skew;
 }
 
-
-static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *scalar) {
+static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *scalar, int size) {
     secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)];
     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_lam[1 + WNAF_SIZE(WINDOW_A - 1)];
     int skew_lam;
     secp256k1_scalar q_1, q_lam;
 #endif
+    int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)];
 
     int i;
     secp256k1_scalar sc = *scalar;
 
     /* build wnaf representation for q. */
+    int rsize = size;
 #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);
-    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
-    skew_1   = secp256k1_wnaf_const(wnaf_1, sc, WINDOW_A - 1);
+    if (size > 128) {
+        rsize = 128;
+        /* 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);
+        skew_1   = secp256k1_wnaf_const(wnaf_1,   q_1,   WINDOW_A - 1, 128);
+        skew_lam = secp256k1_wnaf_const(wnaf_lam, q_lam, WINDOW_A - 1, 128);
+    } else
 #endif
+    {
+        skew_1   = secp256k1_wnaf_const(wnaf_1, sc, WINDOW_A - 1, size);
+#ifdef USE_ENDOMORPHISM
+        skew_lam = 0;
+#endif
+    }
 
     /* Calculate odd multiples of a.
      * All multiples are brought to the same Z 'denominator', which is stored
@@ -159,26 +164,30 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
         secp256k1_fe_normalize_weak(&pre_a[i].y);
     }
 #ifdef USE_ENDOMORPHISM
-    for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
-        secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]);
+    if (size > 128) {
+        for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
+            secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]);
+        }
     }
 #endif
 
     /* 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) */
-    i = wnaf_1[WNAF_SIZE(WINDOW_A - 1)];
+    i = wnaf_1[WNAF_SIZE_BITS(rsize, 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);
+    if (size > 128) {
+        i = wnaf_lam[WNAF_SIZE_BITS(rsize, 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);
+    }
 #endif
     /* remaining loop iterations */
-    for (i = WNAF_SIZE(WINDOW_A - 1) - 1; i >= 0; i--) {
+    for (i = WNAF_SIZE_BITS(rsize, WINDOW_A - 1) - 1; i >= 0; i--) {
         int n;
         int j;
         for (j = 0; j < WINDOW_A - 1; ++j) {
@@ -190,10 +199,12 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
         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);
+        if (size > 128) {
+            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);
+        }
 #endif
     }
 
@@ -213,14 +224,18 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
         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);
+        if (size > 128) {
+            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);
+        if (size > 128) {
+            secp256k1_ge_storage_cmov(&correction_lam_stor, &a2_stor, skew_lam == 2);
+        }
 #endif
 
         /* Apply the correction */
@@ -229,10 +244,12 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
         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);
+        if (size > 128) {
+            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);
+        }
 #endif
     }
 }

src/secp256k1/src/ecmult_gen_impl.h

@@ -77,7 +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(prec, precj, 1024, cb);
+        secp256k1_ge_set_all_gej_var(prec, precj, 1024);
     }
     for (j = 0; j < 64; j++) {
         for (i = 0; i < 16; i++) {
@@ -161,7 +161,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const
     secp256k1_gej gb;
     secp256k1_fe s;
     unsigned char nonce32[32];
-    secp256k1_rfc6979_hmac_sha256_t rng;
+    secp256k1_rfc6979_hmac_sha256 rng;
     int retry;
     unsigned char keydata[64] = {0};
     if (seed32 == NULL) {

src/secp256k1/src/ecmult_impl.h

@@ -1,13 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                             *
- * Distributed under the MIT software license, see the accompanying   *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/*****************************************************************************
+ * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying          *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.       *
+ *****************************************************************************/
 
 #ifndef SECP256K1_ECMULT_IMPL_H
 #define SECP256K1_ECMULT_IMPL_H
 
 #include <string.h>
+#include <stdint.h>
 
 #include "group.h"
 #include "scalar.h"
@@ -41,9 +42,36 @@
 #endif
 #endif
 
+#ifdef USE_ENDOMORPHISM
+    #define WNAF_BITS 128
+#else
+    #define WNAF_BITS 256
+#endif
+#define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w))
+#define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w)
+
 /** The number of entries a table with precomputed multiples needs to have. */
 #define ECMULT_TABLE_SIZE(w) (1 << ((w)-2))
 
+/* The number of objects allocated on the scratch space for ecmult_multi algorithms */
+#define PIPPENGER_SCRATCH_OBJECTS 6
+#define STRAUSS_SCRATCH_OBJECTS 6
+
+#define PIPPENGER_MAX_BUCKET_WINDOW 12
+
+/* Minimum number of points for which pippenger_wnaf is faster than strauss wnaf */
+#ifdef USE_ENDOMORPHISM
+    #define ECMULT_PIPPENGER_THRESHOLD 88
+#else
+    #define ECMULT_PIPPENGER_THRESHOLD 160
+#endif
+
+#ifdef USE_ENDOMORPHISM
+    #define ECMULT_MAX_POINTS_PER_BATCH 5000000
+#else
+    #define ECMULT_MAX_POINTS_PER_BATCH 10000000
+#endif
+
 /** Fill a table 'prej' with precomputed odd multiples of a. Prej will contain
  *  the values [1*a,3*a,...,(2*n-1)*a], so it space for n values. zr[0] will
  *  contain prej[0].z / a.z. The other zr[i] values = prej[i].z / prej[i-1].z.
@@ -109,24 +137,135 @@ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *p
     secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A), pre, globalz, prej, zr);
 }
 
-static void secp256k1_ecmult_odd_multiples_table_storage_var(int n, secp256k1_ge_storage *pre, const secp256k1_gej *a, const secp256k1_callback *cb) {
-    secp256k1_gej *prej = (secp256k1_gej*)checked_malloc(cb, sizeof(secp256k1_gej) * n);
-    secp256k1_ge *prea = (secp256k1_ge*)checked_malloc(cb, sizeof(secp256k1_ge) * n);
-    secp256k1_fe *zr = (secp256k1_fe*)checked_malloc(cb, sizeof(secp256k1_fe) * n);
+static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp256k1_ge_storage *pre, const secp256k1_gej *a) {
+    secp256k1_gej d;
+    secp256k1_ge d_ge, p_ge;
+    secp256k1_gej pj;
+    secp256k1_fe zi;
+    secp256k1_fe zr;
+    secp256k1_fe dx_over_dz_squared;
     int i;
 
-    /* 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(prea, prej, zr, n);
-    /* Convert them to compact storage form. */
-    for (i = 0; i < n; i++) {
-        secp256k1_ge_to_storage(&pre[i], &prea[i]);
+    VERIFY_CHECK(!a->infinity);
+
+    secp256k1_gej_double_var(&d, a, NULL);
+
+    /* First, we perform all the additions in an isomorphic curve obtained by multiplying
+     * all `z` coordinates by 1/`d.z`. In these coordinates `d` is affine so we can use
+     * `secp256k1_gej_add_ge_var` to perform the additions. For each addition, we store
+     * the resulting y-coordinate and the z-ratio, since we only have enough memory to
+     * store two field elements. These are sufficient to efficiently undo the isomorphism
+     * and recompute all the `x`s.
+     */
+    d_ge.x = d.x;
+    d_ge.y = d.y;
+    d_ge.infinity = 0;
+
+    secp256k1_ge_set_gej_zinv(&p_ge, a, &d.z);
+    pj.x = p_ge.x;
+    pj.y = p_ge.y;
+    pj.z = a->z;
+    pj.infinity = 0;
+
+    for (i = 0; i < (n - 1); i++) {
+        secp256k1_fe_normalize_var(&pj.y);
+        secp256k1_fe_to_storage(&pre[i].y, &pj.y);
+        secp256k1_gej_add_ge_var(&pj, &pj, &d_ge, &zr);
+        secp256k1_fe_normalize_var(&zr);
+        secp256k1_fe_to_storage(&pre[i].x, &zr);
     }
 
-    free(prea);
-    free(prej);
-    free(zr);
+    /* Invert d.z in the same batch, preserving pj.z so we can extract 1/d.z */
+    secp256k1_fe_mul(&zi, &pj.z, &d.z);
+    secp256k1_fe_inv_var(&zi, &zi);
+
+    /* Directly set `pre[n - 1]` to `pj`, saving the inverted z-coordinate so
+     * that we can combine it with the saved z-ratios to compute the other zs
+     * without any more inversions. */
+    secp256k1_ge_set_gej_zinv(&p_ge, &pj, &zi);
+    secp256k1_ge_to_storage(&pre[n - 1], &p_ge);
+
+    /* Compute the actual x-coordinate of D, which will be needed below. */
+    secp256k1_fe_mul(&d.z, &zi, &pj.z);  /* d.z = 1/d.z */
+    secp256k1_fe_sqr(&dx_over_dz_squared, &d.z);
+    secp256k1_fe_mul(&dx_over_dz_squared, &dx_over_dz_squared, &d.x);
+
+    /* Going into the second loop, we have set `pre[n-1]` to its final affine
+     * form, but still need to set `pre[i]` for `i` in 0 through `n-2`. We
+     * have `zi = (p.z * d.z)^-1`, where
+     *
+     *     `p.z` is the z-coordinate of the point on the isomorphic curve
+     *           which was ultimately assigned to `pre[n-1]`.
+     *     `d.z` is the multiplier that must be applied to all z-coordinates
+     *           to move from our isomorphic curve back to secp256k1; so the
+     *           product `p.z * d.z` is the z-coordinate of the secp256k1
+     *           point assigned to `pre[n-1]`.
+     *
+     * All subsequent inverse-z-coordinates can be obtained by multiplying this
+     * factor by successive z-ratios, which is much more efficient than directly
+     * computing each one.
+     *
+     * Importantly, these inverse-zs will be coordinates of points on secp256k1,
+     * while our other stored values come from computations on the isomorphic
+     * curve. So in the below loop, we will take care not to actually use `zi`
+     * or any derived values until we're back on secp256k1.
+     */
+    i = n - 1;
+    while (i > 0) {
+        secp256k1_fe zi2, zi3;
+        const secp256k1_fe *rzr;
+        i--;
+
+        secp256k1_ge_from_storage(&p_ge, &pre[i]);
+
+        /* For each remaining point, we extract the z-ratio from the stored
+         * x-coordinate, compute its z^-1 from that, and compute the full
+         * point from that. */
+        rzr = &p_ge.x;
+        secp256k1_fe_mul(&zi, &zi, rzr);
+        secp256k1_fe_sqr(&zi2, &zi);
+        secp256k1_fe_mul(&zi3, &zi2, &zi);
+        /* To compute the actual x-coordinate, we use the stored z ratio and
+         * y-coordinate, which we obtained from `secp256k1_gej_add_ge_var`
+         * in the loop above, as well as the inverse of the square of its
+         * z-coordinate. We store the latter in the `zi2` variable, which is
+         * computed iteratively starting from the overall Z inverse then
+         * multiplying by each z-ratio in turn.
+         *
+         * Denoting the z-ratio as `rzr`, we observe that it is equal to `h`
+         * from the inside of the above `gej_add_ge_var` call. This satisfies
+         *
+         *    rzr = d_x * z^2 - x * d_z^2
+         *
+         * where (`d_x`, `d_z`) are Jacobian coordinates of `D` and `(x, z)`
+         * are Jacobian coordinates of our desired point -- except both are on
+         * the isomorphic curve that we were using when we called `gej_add_ge_var`.
+         * To get back to secp256k1, we must multiply both `z`s by `d_z`, or
+         * equivalently divide both `x`s by `d_z^2`. Our equation then becomes
+         *
+         *    rzr = d_x * z^2 / d_z^2 - x
+         *
+         * (The left-hand-side, being a ratio of z-coordinates, is unaffected
+         * by the isomorphism.)
+         *
+         * Rearranging to solve for `x`, we have
+         *
+         *     x = d_x * z^2 / d_z^2 - rzr
+         *
+         * But what we actually want is the affine coordinate `X = x/z^2`,
+         * which will satisfy
+         *
+         *     X = d_x / d_z^2 - rzr / z^2
+         *       = dx_over_dz_squared - rzr * zi2
+         */
+        secp256k1_fe_mul(&p_ge.x, rzr, &zi2);
+        secp256k1_fe_negate(&p_ge.x, &p_ge.x, 1);
+        secp256k1_fe_add(&p_ge.x, &dx_over_dz_squared);
+        /* y is stored_y/z^3, as we expect */
+        secp256k1_fe_mul(&p_ge.y, &p_ge.y, &zi3);
+        /* Store */
+        secp256k1_ge_to_storage(&pre[i], &p_ge);
+    }
 }
 
 /** The following two macro retrieves a particular odd multiple from a table
@@ -174,7 +313,7 @@ static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, const
     ctx->pre_g = (secp256k1_ge_storage (*)[])checked_malloc(cb, sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G));
 
     /* precompute the tables with odd multiples */
-    secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj, cb);
+    secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj);
 
 #ifdef USE_ENDOMORPHISM
     {
@@ -188,7 +327,7 @@ static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, const
         for (i = 0; i < 128; i++) {
             secp256k1_gej_double_var(&g_128j, &g_128j, NULL);
         }
-        secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j, cb);
+        secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j);
     }
 #endif
 }
@@ -283,50 +422,78 @@ static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a,
     return last_set_bit + 1;
 }
 
-static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
-    secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)];
-    secp256k1_ge tmpa;
-    secp256k1_fe Z;
+struct secp256k1_strauss_point_state {
 #ifdef USE_ENDOMORPHISM
-    secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)];
     secp256k1_scalar na_1, na_lam;
-    /* Splitted G factors. */
-    secp256k1_scalar ng_1, ng_128;
     int wnaf_na_1[130];
     int wnaf_na_lam[130];
     int bits_na_1;
     int bits_na_lam;
-    int wnaf_ng_1[129];
-    int bits_ng_1;
-    int wnaf_ng_128[129];
-    int bits_ng_128;
 #else
     int wnaf_na[256];
     int bits_na;
+#endif
+    size_t input_pos;
+};
+
+struct secp256k1_strauss_state {
+    secp256k1_gej* prej;
+    secp256k1_fe* zr;
+    secp256k1_ge* pre_a;
+#ifdef USE_ENDOMORPHISM
+    secp256k1_ge* pre_a_lam;
+#endif
+    struct secp256k1_strauss_point_state* ps;
+};
+
+static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, const struct secp256k1_strauss_state *state, secp256k1_gej *r, int num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
+    secp256k1_ge tmpa;
+    secp256k1_fe Z;
+#ifdef USE_ENDOMORPHISM
+    /* Splitted G factors. */
+    secp256k1_scalar ng_1, ng_128;
+    int wnaf_ng_1[129];
+    int bits_ng_1 = 0;
+    int wnaf_ng_128[129];
+    int bits_ng_128 = 0;
+#else
     int wnaf_ng[256];
-    int bits_ng;
+    int bits_ng = 0;
 #endif
     int i;
-    int bits;
+    int bits = 0;
+    int np;
+    int no = 0;
 
+    for (np = 0; np < num; ++np) {
+        if (secp256k1_scalar_is_zero(&na[np]) || secp256k1_gej_is_infinity(&a[np])) {
+            continue;
+        }
+        state->ps[no].input_pos = np;
 #ifdef USE_ENDOMORPHISM
-    /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */
-    secp256k1_scalar_split_lambda(&na_1, &na_lam, na);
+        /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */
+        secp256k1_scalar_split_lambda(&state->ps[no].na_1, &state->ps[no].na_lam, &na[np]);
 
-    /* build wnaf representation for na_1 and na_lam. */
-    bits_na_1   = secp256k1_ecmult_wnaf(wnaf_na_1,   130, &na_1,   WINDOW_A);
-    bits_na_lam = secp256k1_ecmult_wnaf(wnaf_na_lam, 130, &na_lam, WINDOW_A);
-    VERIFY_CHECK(bits_na_1 <= 130);
-    VERIFY_CHECK(bits_na_lam <= 130);
-    bits = bits_na_1;
-    if (bits_na_lam > bits) {
-        bits = bits_na_lam;
-    }
+        /* build wnaf representation for na_1 and na_lam. */
+        state->ps[no].bits_na_1   = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_1,   130, &state->ps[no].na_1,   WINDOW_A);
+        state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_lam, 130, &state->ps[no].na_lam, WINDOW_A);
+        VERIFY_CHECK(state->ps[no].bits_na_1 <= 130);
+        VERIFY_CHECK(state->ps[no].bits_na_lam <= 130);
+        if (state->ps[no].bits_na_1 > bits) {
+            bits = state->ps[no].bits_na_1;
+        }
+        if (state->ps[no].bits_na_lam > bits) {
+            bits = state->ps[no].bits_na_lam;
+        }
 #else
-    /* build wnaf representation for na. */
-    bits_na     = secp256k1_ecmult_wnaf(wnaf_na,     256, na,      WINDOW_A);
-    bits = bits_na;
+        /* build wnaf representation for na. */
+        state->ps[no].bits_na     = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na,     256, &na[np],      WINDOW_A);
+        if (state->ps[no].bits_na > bits) {
+            bits = state->ps[no].bits_na;
+        }
 #endif
+        ++no;
+    }
 
     /* Calculate odd multiples of a.
      * All multiples are brought to the same Z 'denominator', which is stored
@@ -338,29 +505,51 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej
      * of 1/Z, so we can use secp256k1_gej_add_zinv_var, which uses the same
      * isomorphism to efficiently add with a known Z inverse.
      */
-    secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, a);
+    if (no > 0) {
+        /* Compute the odd multiples in Jacobian form. */
+        secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej, state->zr, &a[state->ps[0].input_pos]);
+        for (np = 1; np < no; ++np) {
+            secp256k1_gej tmp = a[state->ps[np].input_pos];
+#ifdef VERIFY
+            secp256k1_fe_normalize_var(&(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z));
+#endif
+            secp256k1_gej_rescale(&tmp, &(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z));
+            secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &tmp);
+            secp256k1_fe_mul(state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &(a[state->ps[np].input_pos].z));
+        }
+        /* Bring them to the same Z denominator. */
+        secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, &Z, state->prej, state->zr);
+    } else {
+        secp256k1_fe_set_int(&Z, 1);
+    }
 
 #ifdef USE_ENDOMORPHISM
-    for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
-        secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]);
+    for (np = 0; np < no; ++np) {
+        for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
+            secp256k1_ge_mul_lambda(&state->pre_a_lam[np * ECMULT_TABLE_SIZE(WINDOW_A) + i], &state->pre_a[np * ECMULT_TABLE_SIZE(WINDOW_A) + i]);
+        }
     }
 
-    /* split ng into ng_1 and ng_128 (where gn = gn_1 + gn_128*2^128, and gn_1 and gn_128 are ~128 bit) */
-    secp256k1_scalar_split_128(&ng_1, &ng_128, ng);
+    if (ng) {
+        /* split ng into ng_1 and ng_128 (where gn = gn_1 + gn_128*2^128, and gn_1 and gn_128 are ~128 bit) */
+        secp256k1_scalar_split_128(&ng_1, &ng_128, ng);
 
-    /* Build wnaf representation for ng_1 and ng_128 */
-    bits_ng_1   = secp256k1_ecmult_wnaf(wnaf_ng_1,   129, &ng_1,   WINDOW_G);
-    bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, 129, &ng_128, WINDOW_G);
-    if (bits_ng_1 > bits) {
-        bits = bits_ng_1;
-    }
-    if (bits_ng_128 > bits) {
-        bits = bits_ng_128;
+        /* Build wnaf representation for ng_1 and ng_128 */
+        bits_ng_1   = secp256k1_ecmult_wnaf(wnaf_ng_1,   129, &ng_1,   WINDOW_G);
+        bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, 129, &ng_128, WINDOW_G);
+        if (bits_ng_1 > bits) {
+            bits = bits_ng_1;
+        }
+        if (bits_ng_128 > bits) {
+            bits = bits_ng_128;
+        }
     }
 #else
-    bits_ng     = secp256k1_ecmult_wnaf(wnaf_ng,     256, ng,      WINDOW_G);
-    if (bits_ng > bits) {
-        bits = bits_ng;
+    if (ng) {
+        bits_ng     = secp256k1_ecmult_wnaf(wnaf_ng,     256, ng,      WINDOW_G);
+        if (bits_ng > bits) {
+            bits = bits_ng;
+        }
     }
 #endif
 
@@ -370,13 +559,15 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej
         int n;
         secp256k1_gej_double_var(r, r, NULL);
 #ifdef USE_ENDOMORPHISM
-        if (i < bits_na_1 && (n = wnaf_na_1[i])) {
-            ECMULT_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A);
-            secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
-        }
-        if (i < bits_na_lam && (n = wnaf_na_lam[i])) {
-            ECMULT_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A);
-            secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
+        for (np = 0; np < no; ++np) {
+            if (i < state->ps[np].bits_na_1 && (n = state->ps[np].wnaf_na_1[i])) {
+                ECMULT_TABLE_GET_GE(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A);
+                secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
+            }
+            if (i < state->ps[np].bits_na_lam && (n = state->ps[np].wnaf_na_lam[i])) {
+                ECMULT_TABLE_GET_GE(&tmpa, state->pre_a_lam + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A);
+                secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
+            }
         }
         if (i < bits_ng_1 && (n = wnaf_ng_1[i])) {
             ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G);
@@ -387,9 +578,11 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej
             secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z);
         }
 #else
-        if (i < bits_na && (n = wnaf_na[i])) {
-            ECMULT_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A);
-            secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
+        for (np = 0; np < no; ++np) {
+            if (i < state->ps[np].bits_na && (n = state->ps[np].wnaf_na[i])) {
+                ECMULT_TABLE_GET_GE(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A);
+                secp256k1_gej_add_ge_var(r, r, &tmpa, NULL);
+            }
         }
         if (i < bits_ng && (n = wnaf_ng[i])) {
             ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G);
@@ -403,4 +596,543 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej
     }
 }
 
+static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
+    secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)];
+    secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)];
+    secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)];
+    struct secp256k1_strauss_point_state ps[1];
+#ifdef USE_ENDOMORPHISM
+    secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)];
+#endif
+    struct secp256k1_strauss_state state;
+
+    state.prej = prej;
+    state.zr = zr;
+    state.pre_a = pre_a;
+#ifdef USE_ENDOMORPHISM
+    state.pre_a_lam = pre_a_lam;
+#endif
+    state.ps = ps;
+    secp256k1_ecmult_strauss_wnaf(ctx, &state, r, 1, a, na, ng);
+}
+
+static size_t secp256k1_strauss_scratch_size(size_t n_points) {
+#ifdef USE_ENDOMORPHISM
+    static const size_t point_size = (2 * sizeof(secp256k1_ge) + sizeof(secp256k1_gej) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar);
+#else
+    static const size_t point_size = (sizeof(secp256k1_ge) + sizeof(secp256k1_gej) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar);
+#endif
+    return n_points*point_size;
+}
+
+static int secp256k1_ecmult_strauss_batch(const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
+    secp256k1_gej* points;
+    secp256k1_scalar* scalars;
+    struct secp256k1_strauss_state state;
+    size_t i;
+
+    secp256k1_gej_set_infinity(r);
+    if (inp_g_sc == NULL && n_points == 0) {
+        return 1;
+    }
+
+    if (!secp256k1_scratch_allocate_frame(scratch, secp256k1_strauss_scratch_size(n_points), STRAUSS_SCRATCH_OBJECTS)) {
+        return 0;
+    }
+    points = (secp256k1_gej*)secp256k1_scratch_alloc(scratch, n_points * sizeof(secp256k1_gej));
+    scalars = (secp256k1_scalar*)secp256k1_scratch_alloc(scratch, n_points * sizeof(secp256k1_scalar));
+    state.prej = (secp256k1_gej*)secp256k1_scratch_alloc(scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_gej));
+    state.zr = (secp256k1_fe*)secp256k1_scratch_alloc(scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_fe));
+#ifdef USE_ENDOMORPHISM
+    state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(scratch, n_points * 2 * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge));
+    state.pre_a_lam = state.pre_a + n_points * ECMULT_TABLE_SIZE(WINDOW_A);
+#else
+    state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge));
+#endif
+    state.ps = (struct secp256k1_strauss_point_state*)secp256k1_scratch_alloc(scratch, n_points * sizeof(struct secp256k1_strauss_point_state));
+
+    for (i = 0; i < n_points; i++) {
+        secp256k1_ge point;
+        if (!cb(&scalars[i], &point, i+cb_offset, cbdata)) {
+            secp256k1_scratch_deallocate_frame(scratch);
+            return 0;
+        }
+        secp256k1_gej_set_ge(&points[i], &point);
+    }
+    secp256k1_ecmult_strauss_wnaf(ctx, &state, r, n_points, points, scalars, inp_g_sc);
+    secp256k1_scratch_deallocate_frame(scratch);
+    return 1;
+}
+
+/* Wrapper for secp256k1_ecmult_multi_func interface */
+static int secp256k1_ecmult_strauss_batch_single(const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+    return secp256k1_ecmult_strauss_batch(actx, scratch, r, inp_g_sc, cb, cbdata, n, 0);
+}
+
+static size_t secp256k1_strauss_max_points(secp256k1_scratch *scratch) {
+    return secp256k1_scratch_max_allocation(scratch, STRAUSS_SCRATCH_OBJECTS) / secp256k1_strauss_scratch_size(1);
+}
+
+/** Convert a number to WNAF notation.
+ *  The number becomes represented by sum(2^{wi} * wnaf[i], i=0..WNAF_SIZE(w)+1) - return_val.
+ *  It has the following guarantees:
+ *  - each wnaf[i] is either 0 or an odd integer between -(1 << w) and (1 << w)
+ *  - the number of words set is always WNAF_SIZE(w)
+ *  - the returned skew is 0 or 1
+ */
+static int secp256k1_wnaf_fixed(int *wnaf, const secp256k1_scalar *s, int w) {
+    int skew = 0;
+    int pos;
+    int max_pos;
+    int last_w;
+    const secp256k1_scalar *work = s;
+
+    if (secp256k1_scalar_is_zero(s)) {
+        for (pos = 0; pos < WNAF_SIZE(w); pos++) {
+            wnaf[pos] = 0;
+        }
+        return 0;
+    }
+
+    if (secp256k1_scalar_is_even(s)) {
+        skew = 1;
+    }
+
+    wnaf[0] = secp256k1_scalar_get_bits_var(work, 0, w) + skew;
+    /* Compute last window size. Relevant when window size doesn't divide the
+     * number of bits in the scalar */
+    last_w = WNAF_BITS - (WNAF_SIZE(w) - 1) * w;
+
+    /* Store the position of the first nonzero word in max_pos to allow
+     * skipping leading zeros when calculating the wnaf. */
+    for (pos = WNAF_SIZE(w) - 1; pos > 0; pos--) {
+        int val = secp256k1_scalar_get_bits_var(work, pos * w, pos == WNAF_SIZE(w)-1 ? last_w : w);
+        if(val != 0) {
+            break;
+        }
+        wnaf[pos] = 0;
+    }
+    max_pos = pos;
+    pos = 1;
+
+    while (pos <= max_pos) {
+        int val = secp256k1_scalar_get_bits_var(work, pos * w, pos == WNAF_SIZE(w)-1 ? last_w : w);
+        if ((val & 1) == 0) {
+            wnaf[pos - 1] -= (1 << w);
+            wnaf[pos] = (val + 1);
+        } else {
+            wnaf[pos] = val;
+        }
+        /* Set a coefficient to zero if it is 1 or -1 and the proceeding digit
+         * is strictly negative or strictly positive respectively. Only change
+         * coefficients at previous positions because above code assumes that
+         * wnaf[pos - 1] is odd.
+         */
+        if (pos >= 2 && ((wnaf[pos - 1] == 1 && wnaf[pos - 2] < 0) || (wnaf[pos - 1] == -1 && wnaf[pos - 2] > 0))) {
+            if (wnaf[pos - 1] == 1) {
+                wnaf[pos - 2] += 1 << w;
+            } else {
+                wnaf[pos - 2] -= 1 << w;
+            }
+            wnaf[pos - 1] = 0;
+        }
+        ++pos;
+    }
+
+    return skew;
+}
+
+struct secp256k1_pippenger_point_state {
+    int skew_na;
+    size_t input_pos;
+};
+
+struct secp256k1_pippenger_state {
+    int *wnaf_na;
+    struct secp256k1_pippenger_point_state* ps;
+};
+
+/*
+ * pippenger_wnaf computes the result of a multi-point multiplication as
+ * follows: The scalars are brought into wnaf with n_wnaf elements each. Then
+ * for every i < n_wnaf, first each point is added to a "bucket" corresponding
+ * to the point's wnaf[i]. Second, the buckets are added together such that
+ * r += 1*bucket[0] + 3*bucket[1] + 5*bucket[2] + ...
+ */
+static int secp256k1_ecmult_pippenger_wnaf(secp256k1_gej *buckets, int bucket_window, struct secp256k1_pippenger_state *state, secp256k1_gej *r, const secp256k1_scalar *sc, const secp256k1_ge *pt, size_t num) {
+    size_t n_wnaf = WNAF_SIZE(bucket_window+1);
+    size_t np;
+    size_t no = 0;
+    int i;
+    int j;
+
+    for (np = 0; np < num; ++np) {
+        if (secp256k1_scalar_is_zero(&sc[np]) || secp256k1_ge_is_infinity(&pt[np])) {
+            continue;
+        }
+        state->ps[no].input_pos = np;
+        state->ps[no].skew_na = secp256k1_wnaf_fixed(&state->wnaf_na[no*n_wnaf], &sc[np], bucket_window+1);
+        no++;
+    }
+    secp256k1_gej_set_infinity(r);
+
+    if (no == 0) {
+        return 1;
+    }
+
+    for (i = n_wnaf - 1; i >= 0; i--) {
+        secp256k1_gej running_sum;
+
+        for(j = 0; j < ECMULT_TABLE_SIZE(bucket_window+2); j++) {
+            secp256k1_gej_set_infinity(&buckets[j]);
+        }
+
+        for (np = 0; np < no; ++np) {
+            int n = state->wnaf_na[np*n_wnaf + i];
+            struct secp256k1_pippenger_point_state point_state = state->ps[np];
+            secp256k1_ge tmp;
+            int idx;
+
+            if (i == 0) {
+                /* correct for wnaf skew */
+                int skew = point_state.skew_na;
+                if (skew) {
+                    secp256k1_ge_neg(&tmp, &pt[point_state.input_pos]);
+                    secp256k1_gej_add_ge_var(&buckets[0], &buckets[0], &tmp, NULL);
+                }
+            }
+            if (n > 0) {
+                idx = (n - 1)/2;
+                secp256k1_gej_add_ge_var(&buckets[idx], &buckets[idx], &pt[point_state.input_pos], NULL);
+            } else if (n < 0) {
+                idx = -(n + 1)/2;
+                secp256k1_ge_neg(&tmp, &pt[point_state.input_pos]);
+                secp256k1_gej_add_ge_var(&buckets[idx], &buckets[idx], &tmp, NULL);
+            }
+        }
+
+        for(j = 0; j < bucket_window; j++) {
+            secp256k1_gej_double_var(r, r, NULL);
+        }
+
+        secp256k1_gej_set_infinity(&running_sum);
+        /* Accumulate the sum: bucket[0] + 3*bucket[1] + 5*bucket[2] + 7*bucket[3] + ...
+         *                   = bucket[0] +   bucket[1] +   bucket[2] +   bucket[3] + ...
+         *                   +         2 *  (bucket[1] + 2*bucket[2] + 3*bucket[3] + ...)
+         * using an intermediate running sum:
+         * running_sum = bucket[0] +   bucket[1] +   bucket[2] + ...
+         *
+         * The doubling is done implicitly by deferring the final window doubling (of 'r').
+         */
+        for(j = ECMULT_TABLE_SIZE(bucket_window+2) - 1; j > 0; j--) {
+            secp256k1_gej_add_var(&running_sum, &running_sum, &buckets[j], NULL);
+            secp256k1_gej_add_var(r, r, &running_sum, NULL);
+        }
+
+        secp256k1_gej_add_var(&running_sum, &running_sum, &buckets[0], NULL);
+        secp256k1_gej_double_var(r, r, NULL);
+        secp256k1_gej_add_var(r, r, &running_sum, NULL);
+    }
+    return 1;
+}
+
+/**
+ * Returns optimal bucket_window (number of bits of a scalar represented by a
+ * set of buckets) for a given number of points.
+ */
+static int secp256k1_pippenger_bucket_window(size_t n) {
+#ifdef USE_ENDOMORPHISM
+    if (n <= 1) {
+        return 1;
+    } else if (n <= 4) {
+        return 2;
+    } else if (n <= 20) {
+        return 3;
+    } else if (n <= 57) {
+        return 4;
+    } else if (n <= 136) {
+        return 5;
+    } else if (n <= 235) {
+        return 6;
+    } else if (n <= 1260) {
+        return 7;
+    } else if (n <= 4420) {
+        return 9;
+    } else if (n <= 7880) {
+        return 10;
+    } else if (n <= 16050) {
+        return 11;
+    } else {
+        return PIPPENGER_MAX_BUCKET_WINDOW;
+    }
+#else
+    if (n <= 1) {
+        return 1;
+    } else if (n <= 11) {
+        return 2;
+    } else if (n <= 45) {
+        return 3;
+    } else if (n <= 100) {
+        return 4;
+    } else if (n <= 275) {
+        return 5;
+    } else if (n <= 625) {
+        return 6;
+    } else if (n <= 1850) {
+        return 7;
+    } else if (n <= 3400) {
+        return 8;
+    } else if (n <= 9630) {
+        return 9;
+    } else if (n <= 17900) {
+        return 10;
+    } else if (n <= 32800) {
+        return 11;
+    } else {
+        return PIPPENGER_MAX_BUCKET_WINDOW;
+    }
+#endif
+}
+
+/**
+ * Returns the maximum optimal number of points for a bucket_window.
+ */
+static size_t secp256k1_pippenger_bucket_window_inv(int bucket_window) {
+    switch(bucket_window) {
+#ifdef USE_ENDOMORPHISM
+        case 1: return 1;
+        case 2: return 4;
+        case 3: return 20;
+        case 4: return 57;
+        case 5: return 136;
+        case 6: return 235;
+        case 7: return 1260;
+        case 8: return 1260;
+        case 9: return 4420;
+        case 10: return 7880;
+        case 11: return 16050;
+        case PIPPENGER_MAX_BUCKET_WINDOW: return SIZE_MAX;
+#else
+        case 1: return 1;
+        case 2: return 11;
+        case 3: return 45;
+        case 4: return 100;
+        case 5: return 275;
+        case 6: return 625;
+        case 7: return 1850;
+        case 8: return 3400;
+        case 9: return 9630;
+        case 10: return 17900;
+        case 11: return 32800;
+        case PIPPENGER_MAX_BUCKET_WINDOW: return SIZE_MAX;
+#endif
+    }
+    return 0;
+}
+
+
+#ifdef USE_ENDOMORPHISM
+SECP256K1_INLINE static void secp256k1_ecmult_endo_split(secp256k1_scalar *s1, secp256k1_scalar *s2, secp256k1_ge *p1, secp256k1_ge *p2) {
+    secp256k1_scalar tmp = *s1;
+    secp256k1_scalar_split_lambda(s1, s2, &tmp);
+    secp256k1_ge_mul_lambda(p2, p1);
+
+    if (secp256k1_scalar_is_high(s1)) {
+        secp256k1_scalar_negate(s1, s1);
+        secp256k1_ge_neg(p1, p1);
+    }
+    if (secp256k1_scalar_is_high(s2)) {
+        secp256k1_scalar_negate(s2, s2);
+        secp256k1_ge_neg(p2, p2);
+    }
+}
+#endif
+
+/**
+ * Returns the scratch size required for a given number of points (excluding
+ * base point G) without considering alignment.
+ */
+static size_t secp256k1_pippenger_scratch_size(size_t n_points, int bucket_window) {
+#ifdef USE_ENDOMORPHISM
+    size_t entries = 2*n_points + 2;
+#else
+    size_t entries = n_points + 1;
+#endif
+    size_t entry_size = sizeof(secp256k1_ge) + sizeof(secp256k1_scalar) + sizeof(struct secp256k1_pippenger_point_state) + (WNAF_SIZE(bucket_window+1)+1)*sizeof(int);
+    return ((1<<bucket_window) * sizeof(secp256k1_gej) + sizeof(struct secp256k1_pippenger_state) + entries * entry_size);
+}
+
+static int secp256k1_ecmult_pippenger_batch(const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
+    /* Use 2(n+1) with the endomorphism, n+1 without, when calculating batch
+     * sizes. The reason for +1 is that we add the G scalar to the list of
+     * other scalars. */
+#ifdef USE_ENDOMORPHISM
+    size_t entries = 2*n_points + 2;
+#else
+    size_t entries = n_points + 1;
+#endif
+    secp256k1_ge *points;
+    secp256k1_scalar *scalars;
+    secp256k1_gej *buckets;
+    struct secp256k1_pippenger_state *state_space;
+    size_t idx = 0;
+    size_t point_idx = 0;
+    int i, j;
+    int bucket_window;
+
+    (void)ctx;
+    secp256k1_gej_set_infinity(r);
+    if (inp_g_sc == NULL && n_points == 0) {
+        return 1;
+    }
+
+    bucket_window = secp256k1_pippenger_bucket_window(n_points);
+    if (!secp256k1_scratch_allocate_frame(scratch, secp256k1_pippenger_scratch_size(n_points, bucket_window), PIPPENGER_SCRATCH_OBJECTS)) {
+        return 0;
+    }
+    points = (secp256k1_ge *) secp256k1_scratch_alloc(scratch, entries * sizeof(*points));
+    scalars = (secp256k1_scalar *) secp256k1_scratch_alloc(scratch, entries * sizeof(*scalars));
+    state_space = (struct secp256k1_pippenger_state *) secp256k1_scratch_alloc(scratch, sizeof(*state_space));
+    state_space->ps = (struct secp256k1_pippenger_point_state *) secp256k1_scratch_alloc(scratch, entries * sizeof(*state_space->ps));
+    state_space->wnaf_na = (int *) secp256k1_scratch_alloc(scratch, entries*(WNAF_SIZE(bucket_window+1)) * sizeof(int));
+    buckets = (secp256k1_gej *) secp256k1_scratch_alloc(scratch, (1<<bucket_window) * sizeof(*buckets));
+
+    if (inp_g_sc != NULL) {
+        scalars[0] = *inp_g_sc;
+        points[0] = secp256k1_ge_const_g;
+        idx++;
+#ifdef USE_ENDOMORPHISM
+        secp256k1_ecmult_endo_split(&scalars[0], &scalars[1], &points[0], &points[1]);
+        idx++;
+#endif
+    }
+
+    while (point_idx < n_points) {
+        if (!cb(&scalars[idx], &points[idx], point_idx + cb_offset, cbdata)) {
+            secp256k1_scratch_deallocate_frame(scratch);
+            return 0;
+        }
+        idx++;
+#ifdef USE_ENDOMORPHISM
+        secp256k1_ecmult_endo_split(&scalars[idx - 1], &scalars[idx], &points[idx - 1], &points[idx]);
+        idx++;
+#endif
+        point_idx++;
+    }
+
+    secp256k1_ecmult_pippenger_wnaf(buckets, bucket_window, state_space, r, scalars, points, idx);
+
+    /* Clear data */
+    for(i = 0; (size_t)i < idx; i++) {
+        secp256k1_scalar_clear(&scalars[i]);
+        state_space->ps[i].skew_na = 0;
+        for(j = 0; j < WNAF_SIZE(bucket_window+1); j++) {
+            state_space->wnaf_na[i * WNAF_SIZE(bucket_window+1) + j] = 0;
+        }
+    }
+    for(i = 0; i < 1<<bucket_window; i++) {
+        secp256k1_gej_clear(&buckets[i]);
+    }
+    secp256k1_scratch_deallocate_frame(scratch);
+    return 1;
+}
+
+/* Wrapper for secp256k1_ecmult_multi_func interface */
+static int secp256k1_ecmult_pippenger_batch_single(const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+    return secp256k1_ecmult_pippenger_batch(actx, scratch, r, inp_g_sc, cb, cbdata, n, 0);
+}
+
+/**
+ * Returns the maximum number of points in addition to G that can be used with
+ * a given scratch space. The function ensures that fewer points may also be
+ * used.
+ */
+static size_t secp256k1_pippenger_max_points(secp256k1_scratch *scratch) {
+    size_t max_alloc = secp256k1_scratch_max_allocation(scratch, PIPPENGER_SCRATCH_OBJECTS);
+    int bucket_window;
+    size_t res = 0;
+
+    for (bucket_window = 1; bucket_window <= PIPPENGER_MAX_BUCKET_WINDOW; bucket_window++) {
+        size_t n_points;
+        size_t max_points = secp256k1_pippenger_bucket_window_inv(bucket_window);
+        size_t space_for_points;
+        size_t space_overhead;
+        size_t entry_size = sizeof(secp256k1_ge) + sizeof(secp256k1_scalar) + sizeof(struct secp256k1_pippenger_point_state) + (WNAF_SIZE(bucket_window+1)+1)*sizeof(int);
+
+#ifdef USE_ENDOMORPHISM
+        entry_size = 2*entry_size;
+#endif
+        space_overhead = ((1<<bucket_window) * sizeof(secp256k1_gej) + entry_size + sizeof(struct secp256k1_pippenger_state));
+        if (space_overhead > max_alloc) {
+            break;
+        }
+        space_for_points = max_alloc - space_overhead;
+
+        n_points = space_for_points/entry_size;
+        n_points = n_points > max_points ? max_points : n_points;
+        if (n_points > res) {
+            res = n_points;
+        }
+        if (n_points < max_points) {
+            /* A larger bucket_window may support even more points. But if we
+             * would choose that then the caller couldn't safely use any number
+             * smaller than what this function returns */
+            break;
+        }
+    }
+    return res;
+}
+
+typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t);
+static int secp256k1_ecmult_multi_var(const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+    size_t i;
+
+    int (*f)(const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t);
+    size_t max_points;
+    size_t n_batches;
+    size_t n_batch_points;
+
+    secp256k1_gej_set_infinity(r);
+    if (inp_g_sc == NULL && n == 0) {
+        return 1;
+    } else if (n == 0) {
+        secp256k1_scalar szero;
+        secp256k1_scalar_set_int(&szero, 0);
+        secp256k1_ecmult(ctx, r, r, &szero, inp_g_sc);
+        return 1;
+    }
+
+    max_points = secp256k1_pippenger_max_points(scratch);
+    if (max_points == 0) {
+        return 0;
+    } else if (max_points > ECMULT_MAX_POINTS_PER_BATCH) {
+        max_points = ECMULT_MAX_POINTS_PER_BATCH;
+    }
+    n_batches = (n+max_points-1)/max_points;
+    n_batch_points = (n+n_batches-1)/n_batches;
+
+    if (n_batch_points >= ECMULT_PIPPENGER_THRESHOLD) {
+        f = secp256k1_ecmult_pippenger_batch;
+    } else {
+        max_points = secp256k1_strauss_max_points(scratch);
+        if (max_points == 0) {
+            return 0;
+        }
+        n_batches = (n+max_points-1)/max_points;
+        n_batch_points = (n+n_batches-1)/n_batches;
+        f = secp256k1_ecmult_strauss_batch;
+    }
+    for(i = 0; i < n_batches; i++) {
+        size_t nbp = n < n_batch_points ? n : n_batch_points;
+        size_t offset = n_batch_points*i;
+        secp256k1_gej tmp;
+        if (!f(ctx, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) {
+            return 0;
+        }
+        secp256k1_gej_add_var(r, r, &tmp, NULL);
+        n -= nbp;
+    }
+    return 1;
+}
+
 #endif /* SECP256K1_ECMULT_IMPL_H */

src/secp256k1/src/gen_context.c

@@ -41,7 +41,7 @@ int main(int argc, char **argv) {
     
     fprintf(fp, "#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
     fprintf(fp, "#define _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
-    fprintf(fp, "#include \"group.h\"\n");
+    fprintf(fp, "#include \"src/group.h\"\n");
     fprintf(fp, "#define SC SECP256K1_GE_STORAGE_CONST\n");
     fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_static_context[64][16] = {\n");
 

src/secp256k1/src/group.h

@@ -65,12 +65,7 @@ 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(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(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zr, size_t len);
+static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, 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
@@ -79,6 +74,9 @@ static void secp256k1_ge_set_table_gej_var(secp256k1_ge *r, const secp256k1_gej
  *  stored in globalz. */
 static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr);
 
+/** Set a group element (affine) equal to the point at infinity. */
+static void secp256k1_ge_set_infinity(secp256k1_ge *r);
+
 /** Set a group element (jacobian) equal to the point at infinity. */
 static void secp256k1_gej_set_infinity(secp256k1_gej *r);
 

src/secp256k1/src/group_impl.h

@@ -126,46 +126,43 @@ 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(secp256k1_ge *r, const secp256k1_gej *a, size_t len, const secp256k1_callback *cb) {
-    secp256k1_fe *az;
-    secp256k1_fe *azi;
+static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) {
+    secp256k1_fe u;
     size_t i;
-    size_t count = 0;
-    az = (secp256k1_fe *)checked_malloc(cb, sizeof(secp256k1_fe) * len);
+    size_t last_i = SIZE_MAX;
+
     for (i = 0; i < len; i++) {
         if (!a[i].infinity) {
-            az[count++] = a[i].z;
+            /* Use destination's x coordinates as scratch space */
+            if (last_i == SIZE_MAX) {
+                r[i].x = a[i].z;
+            } else {
+                secp256k1_fe_mul(&r[i].x, &r[last_i].x, &a[i].z);
+            }
+            last_i = i;
         }
     }
+    if (last_i == SIZE_MAX) {
+        return;
+    }
+    secp256k1_fe_inv_var(&u, &r[last_i].x);
 
-    azi = (secp256k1_fe *)checked_malloc(cb, sizeof(secp256k1_fe) * count);
-    secp256k1_fe_inv_all_var(azi, az, count);
-    free(az);
+    i = last_i;
+    while (i > 0) {
+        i--;
+        if (!a[i].infinity) {
+            secp256k1_fe_mul(&r[last_i].x, &r[i].x, &u);
+            secp256k1_fe_mul(&u, &u, &a[last_i].z);
+            last_i = i;
+        }
+    }
+    VERIFY_CHECK(!a[last_i].infinity);
+    r[last_i].x = u;
 
-    count = 0;
     for (i = 0; i < len; i++) {
         r[i].infinity = a[i].infinity;
         if (!a[i].infinity) {
-            secp256k1_ge_set_gej_zinv(&r[i], &a[i], &azi[count++]);
-        }
-    }
-    free(azi);
-}
-
-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;
-
-    if (len > 0) {
-        /* Compute the inverse of the last z coordinate, and use it to compute the last affine output. */
-        secp256k1_fe_inv(&zi, &a[i].z);
-        secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zi);
-
-        /* Work out way backwards, using the z-ratios to scale the x/y values. */
-        while (i > 0) {
-            secp256k1_fe_mul(&zi, &zi, &zr[i]);
-            i--;
-            secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zi);
+            secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x);
         }
     }
 }
@@ -200,6 +197,12 @@ static void secp256k1_gej_set_infinity(secp256k1_gej *r) {
     secp256k1_fe_clear(&r->z);
 }
 
+static void secp256k1_ge_set_infinity(secp256k1_ge *r) {
+    r->infinity = 1;
+    secp256k1_fe_clear(&r->x);
+    secp256k1_fe_clear(&r->y);
+}
+
 static void secp256k1_gej_clear(secp256k1_gej *r) {
     r->infinity = 0;
     secp256k1_fe_clear(&r->x);

src/secp256k1/src/hash.h

@@ -14,28 +14,28 @@ typedef struct {
     uint32_t s[8];
     uint32_t buf[16]; /* In big endian */
     size_t bytes;
-} secp256k1_sha256_t;
+} secp256k1_sha256;
 
-static void secp256k1_sha256_initialize(secp256k1_sha256_t *hash);
-static void secp256k1_sha256_write(secp256k1_sha256_t *hash, const unsigned char *data, size_t size);
-static void secp256k1_sha256_finalize(secp256k1_sha256_t *hash, unsigned char *out32);
+static void secp256k1_sha256_initialize(secp256k1_sha256 *hash);
+static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *data, size_t size);
+static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32);
 
 typedef struct {
-    secp256k1_sha256_t inner, outer;
-} secp256k1_hmac_sha256_t;
+    secp256k1_sha256 inner, outer;
+} secp256k1_hmac_sha256;
 
-static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256_t *hash, const unsigned char *key, size_t size);
-static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256_t *hash, const unsigned char *data, size_t size);
-static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256_t *hash, unsigned char *out32);
+static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t size);
+static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size);
+static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned char *out32);
 
 typedef struct {
     unsigned char v[32];
     unsigned char k[32];
     int retry;
-} secp256k1_rfc6979_hmac_sha256_t;
+} secp256k1_rfc6979_hmac_sha256;
 
-static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen);
-static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256_t *rng, unsigned char *out, size_t outlen);
-static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256_t *rng);
+static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen);
+static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 *rng, unsigned char *out, size_t outlen);
+static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng);
 
 #endif /* SECP256K1_HASH_H */

src/secp256k1/src/hash_impl.h

@@ -33,7 +33,7 @@
 #define BE32(p) ((((p) & 0xFF) << 24) | (((p) & 0xFF00) << 8) | (((p) & 0xFF0000) >> 8) | (((p) & 0xFF000000) >> 24))
 #endif
 
-static void secp256k1_sha256_initialize(secp256k1_sha256_t *hash) {
+static void secp256k1_sha256_initialize(secp256k1_sha256 *hash) {
     hash->s[0] = 0x6a09e667ul;
     hash->s[1] = 0xbb67ae85ul;
     hash->s[2] = 0x3c6ef372ul;
@@ -128,14 +128,15 @@ static void secp256k1_sha256_transform(uint32_t* s, const uint32_t* chunk) {
     s[7] += h;
 }
 
-static void secp256k1_sha256_write(secp256k1_sha256_t *hash, const unsigned char *data, size_t len) {
+static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *data, size_t len) {
     size_t bufsize = hash->bytes & 0x3F;
     hash->bytes += len;
     while (bufsize + len >= 64) {
         /* Fill the buffer, and process it. */
-        memcpy(((unsigned char*)hash->buf) + bufsize, data, 64 - bufsize);
-        data += 64 - bufsize;
-        len -= 64 - bufsize;
+        size_t chunk_len = 64 - bufsize;
+        memcpy(((unsigned char*)hash->buf) + bufsize, data, chunk_len);
+        data += chunk_len;
+        len -= chunk_len;
         secp256k1_sha256_transform(hash->s, hash->buf);
         bufsize = 0;
     }
@@ -145,7 +146,7 @@ static void secp256k1_sha256_write(secp256k1_sha256_t *hash, const unsigned char
     }
 }
 
-static void secp256k1_sha256_finalize(secp256k1_sha256_t *hash, unsigned char *out32) {
+static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32) {
     static const unsigned char pad[64] = {0x80, 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, 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, 0};
     uint32_t sizedesc[2];
     uint32_t out[8];
@@ -161,14 +162,14 @@ static void secp256k1_sha256_finalize(secp256k1_sha256_t *hash, unsigned char *o
     memcpy(out32, (const unsigned char*)out, 32);
 }
 
-static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256_t *hash, const unsigned char *key, size_t keylen) {
-    int n;
+static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t keylen) {
+    size_t n;
     unsigned char rkey[64];
-    if (keylen <= 64) {
+    if (keylen <= sizeof(rkey)) {
         memcpy(rkey, key, keylen);
-        memset(rkey + keylen, 0, 64 - keylen);
+        memset(rkey + keylen, 0, sizeof(rkey) - keylen);
     } else {
-        secp256k1_sha256_t sha256;
+        secp256k1_sha256 sha256;
         secp256k1_sha256_initialize(&sha256);
         secp256k1_sha256_write(&sha256, key, keylen);
         secp256k1_sha256_finalize(&sha256, rkey);
@@ -176,24 +177,24 @@ static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256_t *hash, cons
     }
 
     secp256k1_sha256_initialize(&hash->outer);
-    for (n = 0; n < 64; n++) {
+    for (n = 0; n < sizeof(rkey); n++) {
         rkey[n] ^= 0x5c;
     }
-    secp256k1_sha256_write(&hash->outer, rkey, 64);
+    secp256k1_sha256_write(&hash->outer, rkey, sizeof(rkey));
 
     secp256k1_sha256_initialize(&hash->inner);
-    for (n = 0; n < 64; n++) {
+    for (n = 0; n < sizeof(rkey); n++) {
         rkey[n] ^= 0x5c ^ 0x36;
     }
-    secp256k1_sha256_write(&hash->inner, rkey, 64);
-    memset(rkey, 0, 64);
+    secp256k1_sha256_write(&hash->inner, rkey, sizeof(rkey));
+    memset(rkey, 0, sizeof(rkey));
 }
 
-static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256_t *hash, const unsigned char *data, size_t size) {
+static void secp256k1_hmac_sha256_write(secp256k1_hmac_sha256 *hash, const unsigned char *data, size_t size) {
     secp256k1_sha256_write(&hash->inner, data, size);
 }
 
-static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256_t *hash, unsigned char *out32) {
+static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256 *hash, unsigned char *out32) {
     unsigned char temp[32];
     secp256k1_sha256_finalize(&hash->inner, temp);
     secp256k1_sha256_write(&hash->outer, temp, 32);
@@ -202,8 +203,8 @@ static void secp256k1_hmac_sha256_finalize(secp256k1_hmac_sha256_t *hash, unsign
 }
 
 
-static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256_t *rng, const unsigned char *key, size_t keylen) {
-    secp256k1_hmac_sha256_t hmac;
+static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha256 *rng, const unsigned char *key, size_t keylen) {
+    secp256k1_hmac_sha256 hmac;
     static const unsigned char zero[1] = {0x00};
     static const unsigned char one[1] = {0x01};
 
@@ -232,11 +233,11 @@ static void secp256k1_rfc6979_hmac_sha256_initialize(secp256k1_rfc6979_hmac_sha2
     rng->retry = 0;
 }
 
-static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256_t *rng, unsigned char *out, size_t outlen) {
+static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256 *rng, unsigned char *out, size_t outlen) {
     /* RFC6979 3.2.h. */
     static const unsigned char zero[1] = {0x00};
     if (rng->retry) {
-        secp256k1_hmac_sha256_t hmac;
+        secp256k1_hmac_sha256 hmac;
         secp256k1_hmac_sha256_initialize(&hmac, rng->k, 32);
         secp256k1_hmac_sha256_write(&hmac, rng->v, 32);
         secp256k1_hmac_sha256_write(&hmac, zero, 1);
@@ -247,7 +248,7 @@ static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256
     }
 
     while (outlen > 0) {
-        secp256k1_hmac_sha256_t hmac;
+        secp256k1_hmac_sha256 hmac;
         int now = outlen;
         secp256k1_hmac_sha256_initialize(&hmac, rng->k, 32);
         secp256k1_hmac_sha256_write(&hmac, rng->v, 32);
@@ -263,7 +264,7 @@ static void secp256k1_rfc6979_hmac_sha256_generate(secp256k1_rfc6979_hmac_sha256
     rng->retry = 1;
 }
 
-static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256_t *rng) {
+static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256 *rng) {
     memset(rng->k, 0, 32);
     memset(rng->v, 0, 32);
     rng->retry = 0;

src/secp256k1/src/java/org/bitcoin/NativeSecp256k1Test.java

@@ -52,7 +52,7 @@ public class NativeSecp256k1Test {
     }
 
     /**
-      * This tests secret key verify() for a invalid secretkey
+      * This tests secret key verify() for an invalid secretkey
       */
     public static void testSecKeyVerifyNeg() throws AssertFailException{
         boolean result = false;

src/secp256k1/src/java/org_bitcoin_NativeSecp256k1.c

@@ -83,7 +83,7 @@ SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1e
 
   secp256k1_ecdsa_signature sig[72];
 
-  int ret = secp256k1_ecdsa_sign(ctx, sig, data, secKey, NULL, NULL );
+  int ret = secp256k1_ecdsa_sign(ctx, sig, data, secKey, NULL, NULL);
 
   unsigned char outputSer[72];
   size_t outputLen = 72;
@@ -353,7 +353,9 @@ SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1e
       ctx,
       nonce_res,
       &pubkey,
-      secdata
+      secdata,
+      NULL,
+      NULL
     );
   }
 

src/secp256k1/src/modules/ecdh/main_impl.h

@@ -10,16 +10,35 @@
 #include "include/secp256k1_ecdh.h"
 #include "ecmult_const_impl.h"
 
-int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *result, const secp256k1_pubkey *point, const unsigned char *scalar) {
+static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) {
+    unsigned char version = (y[31] & 0x01) | 0x02;
+    secp256k1_sha256 sha;
+    (void)data;
+
+    secp256k1_sha256_initialize(&sha);
+    secp256k1_sha256_write(&sha, &version, 1);
+    secp256k1_sha256_write(&sha, x, 32);
+    secp256k1_sha256_finalize(&sha, output);
+
+    return 1;
+}
+
+const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256 = ecdh_hash_function_sha256;
+const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default = ecdh_hash_function_sha256;
+
+int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *output, const secp256k1_pubkey *point, const unsigned char *scalar, secp256k1_ecdh_hash_function hashfp, void *data) {
     int ret = 0;
     int overflow = 0;
     secp256k1_gej res;
     secp256k1_ge pt;
     secp256k1_scalar s;
     VERIFY_CHECK(ctx != NULL);
-    ARG_CHECK(result != NULL);
+    ARG_CHECK(output != NULL);
     ARG_CHECK(point != NULL);
     ARG_CHECK(scalar != NULL);
+    if (hashfp == NULL) {
+        hashfp = secp256k1_ecdh_hash_function_default;
+    }
 
     secp256k1_pubkey_load(ctx, &pt, point);
     secp256k1_scalar_set_b32(&s, scalar, &overflow);
@@ -27,24 +46,18 @@ int secp256k1_ecdh(const secp256k1_context* ctx, unsigned char *result, const se
         ret = 0;
     } else {
         unsigned char x[32];
-        unsigned char y[1];
-        secp256k1_sha256_t sha;
+        unsigned char y[32];
 
-        secp256k1_ecmult_const(&res, &pt, &s);
+        secp256k1_ecmult_const(&res, &pt, &s, 256);
         secp256k1_ge_set_gej(&pt, &res);
-        /* Compute a hash of the point in compressed form
-         * Note we cannot use secp256k1_eckey_pubkey_serialize here since it does not
-         * expect its output to be secret and has a timing sidechannel. */
+
+        /* Compute a hash of the point */
         secp256k1_fe_normalize(&pt.x);
         secp256k1_fe_normalize(&pt.y);
         secp256k1_fe_get_b32(x, &pt.x);
-        y[0] = 0x02 | secp256k1_fe_is_odd(&pt.y);
+        secp256k1_fe_get_b32(y, &pt.y);
 
-        secp256k1_sha256_initialize(&sha);
-        secp256k1_sha256_write(&sha, y, sizeof(y));
-        secp256k1_sha256_write(&sha, x, sizeof(x));
-        secp256k1_sha256_finalize(&sha, result);
-        ret = 1;
+        ret = hashfp(output, x, y, data);
     }
 
     secp256k1_scalar_clear(&s);

src/secp256k1/src/modules/ecdh/tests_impl.h

@@ -7,6 +7,23 @@
 #ifndef SECP256K1_MODULE_ECDH_TESTS_H
 #define SECP256K1_MODULE_ECDH_TESTS_H
 
+int ecdh_hash_function_test_fail(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) {
+    (void)output;
+    (void)x;
+    (void)y;
+    (void)data;
+    return 0;
+}
+
+int ecdh_hash_function_custom(unsigned char *output, const unsigned char *x, const unsigned char *y, void *data) {
+    (void)data;
+    /* Save x and y as uncompressed public key */
+    output[0] = 0x04;
+    memcpy(output + 1, x, 32);
+    memcpy(output + 33, y, 32);
+    return 1;
+}
+
 void test_ecdh_api(void) {
     /* Setup context that just counts errors */
     secp256k1_context *tctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
@@ -21,15 +38,15 @@ void test_ecdh_api(void) {
     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(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1);
     CHECK(ecount == 0);
-    CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one) == 0);
+    CHECK(secp256k1_ecdh(tctx, NULL, &point, s_one, NULL, NULL) == 0);
     CHECK(ecount == 1);
-    CHECK(secp256k1_ecdh(tctx, res, NULL, s_one) == 0);
+    CHECK(secp256k1_ecdh(tctx, res, NULL, s_one, NULL, NULL) == 0);
     CHECK(ecount == 2);
-    CHECK(secp256k1_ecdh(tctx, res, &point, NULL) == 0);
+    CHECK(secp256k1_ecdh(tctx, res, &point, NULL, NULL, NULL) == 0);
     CHECK(ecount == 3);
-    CHECK(secp256k1_ecdh(tctx, res, &point, s_one) == 1);
+    CHECK(secp256k1_ecdh(tctx, res, &point, s_one, NULL, NULL) == 1);
     CHECK(ecount == 3);
 
     /* Cleanup */
@@ -44,29 +61,36 @@ void test_ecdh_generator_basepoint(void) {
     s_one[31] = 1;
     /* Check against pubkey creation when the basepoint is the generator */
     for (i = 0; i < 100; ++i) {
-        secp256k1_sha256_t sha;
+        secp256k1_sha256 sha;
         unsigned char s_b32[32];
-        unsigned char output_ecdh[32];
+        unsigned char output_ecdh[65];
         unsigned char output_ser[32];
-        unsigned char point_ser[33];
+        unsigned char point_ser[65];
         size_t point_ser_len = sizeof(point_ser);
         secp256k1_scalar s;
 
         random_scalar_order(&s);
         secp256k1_scalar_get_b32(s_b32, &s);
 
-        /* compute using ECDH function */
         CHECK(secp256k1_ec_pubkey_create(ctx, &point[0], s_one) == 1);
-        CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32) == 1);
-        /* compute "explicitly" */
         CHECK(secp256k1_ec_pubkey_create(ctx, &point[1], s_b32) == 1);
+
+        /* compute using ECDH function with custom hash function */
+        CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32, ecdh_hash_function_custom, NULL) == 1);
+        /* compute "explicitly" */
+        CHECK(secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_UNCOMPRESSED) == 1);
+        /* compare */
+        CHECK(memcmp(output_ecdh, point_ser, 65) == 0);
+
+        /* compute using ECDH function with default hash function */
+        CHECK(secp256k1_ecdh(ctx, output_ecdh, &point[0], s_b32, NULL, NULL) == 1);
+        /* compute "explicitly" */
         CHECK(secp256k1_ec_pubkey_serialize(ctx, point_ser, &point_ser_len, &point[1], SECP256K1_EC_COMPRESSED) == 1);
-        CHECK(point_ser_len == sizeof(point_ser));
         secp256k1_sha256_initialize(&sha);
         secp256k1_sha256_write(&sha, point_ser, point_ser_len);
         secp256k1_sha256_finalize(&sha, output_ser);
         /* compare */
-        CHECK(memcmp(output_ecdh, output_ser, sizeof(output_ser)) == 0);
+        CHECK(memcmp(output_ecdh, output_ser, 32) == 0);
     }
 }
 
@@ -89,11 +113,14 @@ void test_bad_scalar(void) {
     CHECK(secp256k1_ec_pubkey_create(ctx, &point, s_rand) == 1);
 
     /* Try to multiply it by bad values */
-    CHECK(secp256k1_ecdh(ctx, output, &point, s_zero) == 0);
-    CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 0);
+    CHECK(secp256k1_ecdh(ctx, output, &point, s_zero, NULL, NULL) == 0);
+    CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, NULL, NULL) == 0);
     /* ...and a good one */
     s_overflow[31] -= 1;
-    CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow) == 1);
+    CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, NULL, NULL) == 1);
+
+    /* Hash function failure results in ecdh failure */
+    CHECK(secp256k1_ecdh(ctx, output, &point, s_overflow, ecdh_hash_function_test_fail, NULL) == 0);
 }
 
 void run_ecdh_tests(void) {

src/secp256k1/src/modules/generator/Makefile.am.include

@@ -0,0 +1,9 @@
+include_HEADERS += include/secp256k1_generator.h
+noinst_HEADERS += src/modules/generator/main_impl.h
+noinst_HEADERS += src/modules/generator/tests_impl.h
+if USE_BENCHMARK
+noinst_PROGRAMS += bench_generator
+bench_generator_SOURCES = src/bench_generator.c
+bench_generator_LDADD = libsecp256k1.la $(SECP_LIBS)
+bench_generator_LDFLAGS = -static
+endif

src/secp256k1/src/modules/generator/main_impl.h

@@ -0,0 +1,225 @@
+/**********************************************************************
+ * Copyright (c) 2016 Andrew Poelstra & 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_GENERATOR_MAIN
+#define SECP256K1_MODULE_GENERATOR_MAIN
+
+#include <stdio.h>
+
+#include "field.h"
+#include "group.h"
+#include "hash.h"
+#include "scalar.h"
+
+static void secp256k1_generator_load(secp256k1_ge* ge, const secp256k1_generator* gen) {
+    int succeed;
+    succeed = secp256k1_fe_set_b32(&ge->x, &gen->data[0]);
+    VERIFY_CHECK(succeed != 0);
+    succeed = secp256k1_fe_set_b32(&ge->y, &gen->data[32]);
+    VERIFY_CHECK(succeed != 0);
+    ge->infinity = 0;
+    (void) succeed;
+}
+
+static void secp256k1_generator_save(secp256k1_generator *gen, secp256k1_ge* ge) {
+    VERIFY_CHECK(!secp256k1_ge_is_infinity(ge));
+    secp256k1_fe_normalize_var(&ge->x);
+    secp256k1_fe_normalize_var(&ge->y);
+    secp256k1_fe_get_b32(&gen->data[0], &ge->x);
+    secp256k1_fe_get_b32(&gen->data[32], &ge->y);
+}
+
+int secp256k1_generator_parse(const secp256k1_context* ctx, secp256k1_generator* gen, const unsigned char *input) {
+    secp256k1_fe x;
+    secp256k1_ge ge;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(input != NULL);
+
+    if ((input[0] & 0xFE) != 10 ||
+        !secp256k1_fe_set_b32(&x, &input[1]) ||
+        !secp256k1_ge_set_xquad(&ge, &x)) {
+        return 0;
+    }
+    if (input[0] & 1) {
+        secp256k1_ge_neg(&ge, &ge);
+    }
+    secp256k1_generator_save(gen, &ge);
+    return 1;
+}
+
+int secp256k1_generator_serialize(const secp256k1_context* ctx, unsigned char *output, const secp256k1_generator* gen) {
+    secp256k1_ge ge;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(output != NULL);
+    ARG_CHECK(gen != NULL);
+
+    secp256k1_generator_load(&ge, gen);
+
+    output[0] = 11 ^ secp256k1_fe_is_quad_var(&ge.y);
+    secp256k1_fe_normalize_var(&ge.x);
+    secp256k1_fe_get_b32(&output[1], &ge.x);
+    return 1;
+}
+
+static void shallue_van_de_woestijne(secp256k1_ge* ge, const secp256k1_fe* t) {
+    /* Implements the algorithm from:
+     *    Indifferentiable Hashing to Barreto-Naehrig Curves
+     *    Pierre-Alain Fouque and Mehdi Tibouchi
+     *    Latincrypt 2012
+     */
+
+    /* Basic algorithm:
+
+       c = sqrt(-3)
+       d = (c - 1)/2
+
+       w = c * t / (1 + b + t^2)  [with b = 7]
+       x1 = d - t*w
+       x2 = -(x1 + 1)
+       x3 = 1 + 1/w^2
+
+       To avoid the 2 divisions, compute the above in numerator/denominator form:
+       wn = c * t
+       wd = 1 + 7 + t^2
+       x1n = d*wd - t*wn
+       x1d = wd
+       x2n = -(x1n + wd)
+       x2d = wd
+       x3n = wd^2 + c^2 + t^2
+       x3d = (c * t)^2
+
+       The joint denominator j = wd * c^2 * t^2, and
+       1 / x1d = 1/j * c^2 * t^2
+       1 / x2d = x3d = 1/j * wd
+    */
+
+    static const secp256k1_fe c = SECP256K1_FE_CONST(0x0a2d2ba9, 0x3507f1df, 0x233770c2, 0xa797962c, 0xc61f6d15, 0xda14ecd4, 0x7d8d27ae, 0x1cd5f852);
+    static const secp256k1_fe d = SECP256K1_FE_CONST(0x851695d4, 0x9a83f8ef, 0x919bb861, 0x53cbcb16, 0x630fb68a, 0xed0a766a, 0x3ec693d6, 0x8e6afa40);
+    static const secp256k1_fe b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 7);
+    static const secp256k1_fe b_plus_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 8);
+
+    secp256k1_fe wn, wd, x1n, x2n, x3n, x3d, jinv, tmp, x1, x2, x3, alphain, betain, gammain, y1, y2, y3;
+    int alphaquad, betaquad;
+
+    secp256k1_fe_mul(&wn, &c, t); /* mag 1 */
+    secp256k1_fe_sqr(&wd, t); /* mag 1 */
+    secp256k1_fe_add(&wd, &b_plus_one); /* mag 2 */
+    secp256k1_fe_mul(&tmp, t, &wn); /* mag 1 */
+    secp256k1_fe_negate(&tmp, &tmp, 1); /* mag 2 */
+    secp256k1_fe_mul(&x1n, &d, &wd); /* mag 1 */
+    secp256k1_fe_add(&x1n, &tmp); /* mag 3 */
+    x2n = x1n; /* mag 3 */
+    secp256k1_fe_add(&x2n, &wd); /* mag 5 */
+    secp256k1_fe_negate(&x2n, &x2n, 5); /* mag 6 */
+    secp256k1_fe_mul(&x3d, &c, t); /* mag 1 */
+    secp256k1_fe_sqr(&x3d, &x3d); /* mag 1 */
+    secp256k1_fe_sqr(&x3n, &wd); /* mag 1 */
+    secp256k1_fe_add(&x3n, &x3d); /* mag 2 */
+    secp256k1_fe_mul(&jinv, &x3d, &wd); /* mag 1 */
+    secp256k1_fe_inv(&jinv, &jinv); /* mag 1 */
+    secp256k1_fe_mul(&x1, &x1n, &x3d); /* mag 1 */
+    secp256k1_fe_mul(&x1, &x1, &jinv); /* mag 1 */
+    secp256k1_fe_mul(&x2, &x2n, &x3d); /* mag 1 */
+    secp256k1_fe_mul(&x2, &x2, &jinv); /* mag 1 */
+    secp256k1_fe_mul(&x3, &x3n, &wd); /* mag 1 */
+    secp256k1_fe_mul(&x3, &x3, &jinv); /* mag 1 */
+
+    secp256k1_fe_sqr(&alphain, &x1); /* mag 1 */
+    secp256k1_fe_mul(&alphain, &alphain, &x1); /* mag 1 */
+    secp256k1_fe_add(&alphain, &b); /* mag 2 */
+    secp256k1_fe_sqr(&betain, &x2); /* mag 1 */
+    secp256k1_fe_mul(&betain, &betain, &x2); /* mag 1 */
+    secp256k1_fe_add(&betain, &b); /* mag 2 */
+    secp256k1_fe_sqr(&gammain, &x3); /* mag 1 */
+    secp256k1_fe_mul(&gammain, &gammain, &x3); /* mag 1 */
+    secp256k1_fe_add(&gammain, &b); /* mag 2 */
+
+    alphaquad = secp256k1_fe_sqrt(&y1, &alphain);
+    betaquad = secp256k1_fe_sqrt(&y2, &betain);
+    secp256k1_fe_sqrt(&y3, &gammain);
+
+    secp256k1_fe_cmov(&x1, &x2, (!alphaquad) & betaquad);
+    secp256k1_fe_cmov(&y1, &y2, (!alphaquad) & betaquad);
+    secp256k1_fe_cmov(&x1, &x3, (!alphaquad) & !betaquad);
+    secp256k1_fe_cmov(&y1, &y3, (!alphaquad) & !betaquad);
+
+    secp256k1_ge_set_xy(ge, &x1, &y1);
+
+    /* The linked algorithm from the paper uses the Jacobi symbol of t to
+     * determine the Jacobi symbol of the produced y coordinate. Since the
+     * rest of the algorithm only uses t^2, we can safely use another criterion
+     * as long as negation of t results in negation of the y coordinate. Here
+     * we choose to use t's oddness, as it is faster to determine. */
+    secp256k1_fe_negate(&tmp, &ge->y, 1);
+    secp256k1_fe_cmov(&ge->y, &tmp, secp256k1_fe_is_odd(t));
+}
+
+static int secp256k1_generator_generate_internal(const secp256k1_context* ctx, secp256k1_generator* gen, const unsigned char *key32, const unsigned char *blind32) {
+    static const unsigned char prefix1[17] = "1st generation: ";
+    static const unsigned char prefix2[17] = "2nd generation: ";
+    secp256k1_fe t = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 4);
+    secp256k1_ge add;
+    secp256k1_gej accum;
+    int overflow;
+    secp256k1_sha256 sha256;
+    unsigned char b32[32];
+    int ret = 1;
+
+    if (blind32) {
+        secp256k1_scalar blind;
+        secp256k1_scalar_set_b32(&blind, blind32, &overflow);
+        ret = !overflow;
+        CHECK(ret);
+        secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &accum, &blind);
+    }
+
+    secp256k1_sha256_initialize(&sha256);
+    secp256k1_sha256_write(&sha256, prefix1, 16);
+    secp256k1_sha256_write(&sha256, key32, 32);
+    secp256k1_sha256_finalize(&sha256, b32);
+    ret &= secp256k1_fe_set_b32(&t, b32);
+    CHECK(ret);
+    shallue_van_de_woestijne(&add, &t);
+    if (blind32) {
+        secp256k1_gej_add_ge(&accum, &accum, &add);
+    } else {
+        secp256k1_gej_set_ge(&accum, &add);
+    }
+
+    secp256k1_sha256_initialize(&sha256);
+    secp256k1_sha256_write(&sha256, prefix2, 16);
+    secp256k1_sha256_write(&sha256, key32, 32);
+    secp256k1_sha256_finalize(&sha256, b32);
+    ret &= secp256k1_fe_set_b32(&t, b32);
+    CHECK(ret);
+    shallue_van_de_woestijne(&add, &t);
+    secp256k1_gej_add_ge(&accum, &accum, &add);
+
+    secp256k1_ge_set_gej(&add, &accum);
+    secp256k1_generator_save(gen, &add);
+    return ret;
+}
+
+int secp256k1_generator_generate(const secp256k1_context* ctx, secp256k1_generator* gen, const unsigned char *key32) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(key32 != NULL);
+    return secp256k1_generator_generate_internal(ctx, gen, key32, NULL);
+}
+
+int secp256k1_generator_generate_blinded(const secp256k1_context* ctx, secp256k1_generator* gen, const unsigned char *key32, const unsigned char *blind32) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(key32 != NULL);
+    ARG_CHECK(blind32 != NULL);
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    return secp256k1_generator_generate_internal(ctx, gen, key32, blind32);
+}
+
+#endif

src/secp256k1/src/modules/generator/tests_impl.h

@@ -0,0 +1,219 @@
+/**********************************************************************
+ * Copyright (c) 2016 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_GENERATOR_TESTS
+#define SECP256K1_MODULE_GENERATOR_TESTS
+
+#include <string.h>
+#include <stdio.h>
+
+#include "group.h"
+#include "scalar.h"
+#include "testrand.h"
+#include "util.h"
+
+#include "include/secp256k1_generator.h"
+
+void test_generator_api(void) {
+    unsigned char key[32];
+    unsigned char blind[32];
+    unsigned char sergen[33];
+    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_generator gen;
+    int32_t ecount = 0;
+
+    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_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_rand256(key);
+    secp256k1_rand256(blind);
+
+    CHECK(secp256k1_generator_generate(none, &gen, key) == 1);
+    CHECK(ecount == 0);
+    CHECK(secp256k1_generator_generate(none, NULL, key) == 0);
+    CHECK(ecount == 1);
+    CHECK(secp256k1_generator_generate(none, &gen, NULL) == 0);
+    CHECK(ecount == 2);
+
+    CHECK(secp256k1_generator_generate_blinded(sign, &gen, key, blind) == 1);
+    CHECK(ecount == 2);
+    CHECK(secp256k1_generator_generate_blinded(vrfy, &gen, key, blind) == 0);
+    CHECK(ecount == 3);
+    CHECK(secp256k1_generator_generate_blinded(none, &gen, key, blind) == 0);
+    CHECK(ecount == 4);
+    CHECK(secp256k1_generator_generate_blinded(vrfy, NULL, key, blind) == 0);
+    CHECK(ecount == 5);
+    CHECK(secp256k1_generator_generate_blinded(vrfy, &gen, NULL, blind) == 0);
+    CHECK(ecount == 6);
+    CHECK(secp256k1_generator_generate_blinded(vrfy, &gen, key, NULL) == 0);
+    CHECK(ecount == 7);
+
+    CHECK(secp256k1_generator_serialize(none, sergen, &gen) == 1);
+    CHECK(ecount == 7);
+    CHECK(secp256k1_generator_serialize(none, NULL, &gen) == 0);
+    CHECK(ecount == 8);
+    CHECK(secp256k1_generator_serialize(none, sergen, NULL) == 0);
+    CHECK(ecount == 9);
+
+    CHECK(secp256k1_generator_serialize(none, sergen, &gen) == 1);
+    CHECK(secp256k1_generator_parse(none, &gen, sergen) == 1);
+    CHECK(ecount == 9);
+    CHECK(secp256k1_generator_parse(none, NULL, sergen) == 0);
+    CHECK(ecount == 10);
+    CHECK(secp256k1_generator_parse(none, &gen, NULL) == 0);
+    CHECK(ecount == 11);
+
+    secp256k1_context_destroy(none);
+    secp256k1_context_destroy(sign);
+    secp256k1_context_destroy(vrfy);
+}
+
+void test_shallue_van_de_woestijne(void) {
+    /* Matches with the output of the shallue_van_de_woestijne.sage SAGE program */
+    static const secp256k1_ge_storage results[32] = {
+        SECP256K1_GE_STORAGE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c, 0x0225f529, 0xee75acaf, 0xccfc4560, 0x26c5e46b, 0xf80237a3, 0x3924655a, 0x16f90e88, 0x085ed52a),
+        SECP256K1_GE_STORAGE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c, 0xfdda0ad6, 0x118a5350, 0x3303ba9f, 0xd93a1b94, 0x07fdc85c, 0xc6db9aa5, 0xe906f176, 0xf7a12705),
+        SECP256K1_GE_STORAGE_CONST(0x2c5cdc9c, 0x338152fa, 0x85de92cb, 0x1bee9907, 0x765a922e, 0x4f037cce, 0x14ecdbf2, 0x2f78fe15, 0x56716069, 0x6818286b, 0x72f01a3e, 0x5e8caca7, 0x36249160, 0xc7ded69d, 0xd51913c3, 0x03a2fa97),
+        SECP256K1_GE_STORAGE_CONST(0x2c5cdc9c, 0x338152fa, 0x85de92cb, 0x1bee9907, 0x765a922e, 0x4f037cce, 0x14ecdbf2, 0x2f78fe15, 0xa98e9f96, 0x97e7d794, 0x8d0fe5c1, 0xa1735358, 0xc9db6e9f, 0x38212962, 0x2ae6ec3b, 0xfc5d0198),
+        SECP256K1_GE_STORAGE_CONST(0x531f7239, 0xaebc780e, 0x179fbf8d, 0x412a1b01, 0x511f0abc, 0xe0c46151, 0x8b38db84, 0xcc2467f3, 0x82387d45, 0xec7bd5cc, 0x61fcb9df, 0x41cddd7b, 0x217d8114, 0x3577dc8f, 0x23de356a, 0x7e97704e),
+        SECP256K1_GE_STORAGE_CONST(0x531f7239, 0xaebc780e, 0x179fbf8d, 0x412a1b01, 0x511f0abc, 0xe0c46151, 0x8b38db84, 0xcc2467f3, 0x7dc782ba, 0x13842a33, 0x9e034620, 0xbe322284, 0xde827eeb, 0xca882370, 0xdc21ca94, 0x81688be1),
+        SECP256K1_GE_STORAGE_CONST(0x2c5cdc9c, 0x338152fa, 0x85de92cb, 0x1bee9907, 0x765a922e, 0x4f037cce, 0x14ecdbf2, 0x2f78fe15, 0x56716069, 0x6818286b, 0x72f01a3e, 0x5e8caca7, 0x36249160, 0xc7ded69d, 0xd51913c3, 0x03a2fa97),
+        SECP256K1_GE_STORAGE_CONST(0x2c5cdc9c, 0x338152fa, 0x85de92cb, 0x1bee9907, 0x765a922e, 0x4f037cce, 0x14ecdbf2, 0x2f78fe15, 0xa98e9f96, 0x97e7d794, 0x8d0fe5c1, 0xa1735358, 0xc9db6e9f, 0x38212962, 0x2ae6ec3b, 0xfc5d0198),
+        SECP256K1_GE_STORAGE_CONST(0x5e5936b1, 0x81db0b65, 0x8e33a8c6, 0x1aa687dd, 0x31d11e15, 0x85e35664, 0x6b4c2071, 0xcde7e942, 0x88bb5332, 0xa8e05654, 0x78d4f60c, 0x0cd979ec, 0x938558f2, 0xcac11216, 0x7c387a56, 0xe3a6d5f3),
+        SECP256K1_GE_STORAGE_CONST(0x5e5936b1, 0x81db0b65, 0x8e33a8c6, 0x1aa687dd, 0x31d11e15, 0x85e35664, 0x6b4c2071, 0xcde7e942, 0x7744accd, 0x571fa9ab, 0x872b09f3, 0xf3268613, 0x6c7aa70d, 0x353eede9, 0x83c785a8, 0x1c59263c),
+        SECP256K1_GE_STORAGE_CONST(0x657d438f, 0xfac34a50, 0x463fd07c, 0x3f09f320, 0x4c98e8ed, 0x6927e330, 0xc0c7735f, 0x76d32f6d, 0x577c2b11, 0xcaca2f6f, 0xd60bcaf0, 0x3e7cebe9, 0x5da6e1f4, 0xbb557f12, 0x2a397331, 0x81df897f),
+        SECP256K1_GE_STORAGE_CONST(0x657d438f, 0xfac34a50, 0x463fd07c, 0x3f09f320, 0x4c98e8ed, 0x6927e330, 0xc0c7735f, 0x76d32f6d, 0xa883d4ee, 0x3535d090, 0x29f4350f, 0xc1831416, 0xa2591e0b, 0x44aa80ed, 0xd5c68ccd, 0x7e2072b0),
+        SECP256K1_GE_STORAGE_CONST(0xbe0bc11b, 0x2bc639cb, 0xc28f72a8, 0xd07c21cc, 0xbc06cfa7, 0x4c2ff25e, 0x630c9740, 0x23128eab, 0x6f062fc8, 0x75148197, 0xd10375c3, 0xcc3fadb6, 0x20277e9c, 0x00579c55, 0xeddd7f95, 0xe95604db),
+        SECP256K1_GE_STORAGE_CONST(0xbe0bc11b, 0x2bc639cb, 0xc28f72a8, 0xd07c21cc, 0xbc06cfa7, 0x4c2ff25e, 0x630c9740, 0x23128eab, 0x90f9d037, 0x8aeb7e68, 0x2efc8a3c, 0x33c05249, 0xdfd88163, 0xffa863aa, 0x12228069, 0x16a9f754),
+        SECP256K1_GE_STORAGE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c, 0xfdda0ad6, 0x118a5350, 0x3303ba9f, 0xd93a1b94, 0x07fdc85c, 0xc6db9aa5, 0xe906f176, 0xf7a12705),
+        SECP256K1_GE_STORAGE_CONST(0xedd1fd3e, 0x327ce90c, 0xc7a35426, 0x14289aee, 0x9682003e, 0x9cf7dcc9, 0xcf2ca974, 0x3be5aa0c, 0x0225f529, 0xee75acaf, 0xccfc4560, 0x26c5e46b, 0xf80237a3, 0x3924655a, 0x16f90e88, 0x085ed52a),
+        SECP256K1_GE_STORAGE_CONST(0xaee172d4, 0xce7c5010, 0xdb20a88f, 0x469598c1, 0xd7f7926f, 0xabb85cb5, 0x339f1403, 0x87e6b494, 0x38065980, 0x4de81b35, 0x098c7190, 0xe3380f9d, 0x95b2ed6c, 0x6c869e85, 0xc772bc5a, 0x7bc3d9d5),
+        SECP256K1_GE_STORAGE_CONST(0xaee172d4, 0xce7c5010, 0xdb20a88f, 0x469598c1, 0xd7f7926f, 0xabb85cb5, 0x339f1403, 0x87e6b494, 0xc7f9a67f, 0xb217e4ca, 0xf6738e6f, 0x1cc7f062, 0x6a4d1293, 0x9379617a, 0x388d43a4, 0x843c225a),
+        SECP256K1_GE_STORAGE_CONST(0xc28f5c28, 0xf5c28f5c, 0x28f5c28f, 0x5c28f5c2, 0x8f5c28f5, 0xc28f5c28, 0xf5c28f5b, 0x6666635a, 0x0c4da840, 0x1b2cf5be, 0x4604e6ec, 0xf92b2780, 0x063a5351, 0xe294bf65, 0xbb2f8b61, 0x00902db7),
+        SECP256K1_GE_STORAGE_CONST(0xc28f5c28, 0xf5c28f5c, 0x28f5c28f, 0x5c28f5c2, 0x8f5c28f5, 0xc28f5c28, 0xf5c28f5b, 0x6666635a, 0xf3b257bf, 0xe4d30a41, 0xb9fb1913, 0x06d4d87f, 0xf9c5acae, 0x1d6b409a, 0x44d0749d, 0xff6fce78),
+        SECP256K1_GE_STORAGE_CONST(0xecf56be6, 0x9c8fde26, 0x152832c6, 0xe043b3d5, 0xaf9a723f, 0x789854a0, 0xcb1b810d, 0xe2614ece, 0x66127ae4, 0xe4c17a75, 0x60a727e6, 0xffd2ea7f, 0xaed99088, 0xbec465c6, 0xbde56791, 0x37ed5572),
+        SECP256K1_GE_STORAGE_CONST(0xecf56be6, 0x9c8fde26, 0x152832c6, 0xe043b3d5, 0xaf9a723f, 0x789854a0, 0xcb1b810d, 0xe2614ece, 0x99ed851b, 0x1b3e858a, 0x9f58d819, 0x002d1580, 0x51266f77, 0x413b9a39, 0x421a986d, 0xc812a6bd),
+        SECP256K1_GE_STORAGE_CONST(0xba72860f, 0x10fcd142, 0x23f71e3c, 0x228deb9a, 0xc46c5ff5, 0x90b884e5, 0xcc60d51e, 0x0629d16e, 0x67999f31, 0x5a74ada3, 0x526832cf, 0x76b9fec3, 0xa348cc97, 0x33c3aa67, 0x02bd2516, 0x7814f635),
+        SECP256K1_GE_STORAGE_CONST(0xba72860f, 0x10fcd142, 0x23f71e3c, 0x228deb9a, 0xc46c5ff5, 0x90b884e5, 0xcc60d51e, 0x0629d16e, 0x986660ce, 0xa58b525c, 0xad97cd30, 0x8946013c, 0x5cb73368, 0xcc3c5598, 0xfd42dae8, 0x87eb05fa),
+        SECP256K1_GE_STORAGE_CONST(0x92ef5657, 0xdba51cc7, 0xf3e1b442, 0xa6a0916b, 0x8ce03079, 0x2ef5657d, 0xba51cc7e, 0xab2beb65, 0x782c65d2, 0x3f1e0eb2, 0x9179a994, 0xe5e8ff80, 0x5a0d50d9, 0xdeeaed90, 0xcec96ca5, 0x973e2ad3),
+        SECP256K1_GE_STORAGE_CONST(0x92ef5657, 0xdba51cc7, 0xf3e1b442, 0xa6a0916b, 0x8ce03079, 0x2ef5657d, 0xba51cc7e, 0xab2beb65, 0x87d39a2d, 0xc0e1f14d, 0x6e86566b, 0x1a17007f, 0xa5f2af26, 0x2115126f, 0x31369359, 0x68c1d15c),
+        SECP256K1_GE_STORAGE_CONST(0x9468ad22, 0xf921fc78, 0x8de3f1b0, 0x586c58eb, 0x5e6f0270, 0xe950b602, 0x7ada90d9, 0xd71ae323, 0x922a0c6a, 0x9ccc31d9, 0xc3bf87fd, 0x88381739, 0x35fe393f, 0xa64dfdec, 0x29f2846d, 0x12918d86),
+        SECP256K1_GE_STORAGE_CONST(0x9468ad22, 0xf921fc78, 0x8de3f1b0, 0x586c58eb, 0x5e6f0270, 0xe950b602, 0x7ada90d9, 0xd71ae323, 0x6dd5f395, 0x6333ce26, 0x3c407802, 0x77c7e8c6, 0xca01c6c0, 0x59b20213, 0xd60d7b91, 0xed6e6ea9),
+        SECP256K1_GE_STORAGE_CONST(0x76ddc7f5, 0xe029e59e, 0x22b0e54f, 0xa811db94, 0x5a209c4f, 0x5e912ca2, 0x8b4da6a7, 0x4c1e00a2, 0x1e8f516c, 0x91c20437, 0x50f6e24e, 0x8c2cf202, 0xacf68291, 0xbf8b66eb, 0xf7335b62, 0xec2c88fe),
+        SECP256K1_GE_STORAGE_CONST(0x76ddc7f5, 0xe029e59e, 0x22b0e54f, 0xa811db94, 0x5a209c4f, 0x5e912ca2, 0x8b4da6a7, 0x4c1e00a2, 0xe170ae93, 0x6e3dfbc8, 0xaf091db1, 0x73d30dfd, 0x53097d6e, 0x40749914, 0x08cca49c, 0x13d37331),
+        SECP256K1_GE_STORAGE_CONST(0xf75763bc, 0x2907e79b, 0x125e33c3, 0x9a027f48, 0x0f8c6409, 0x2153432f, 0x967bc2b1, 0x1d1f5cf0, 0xb4a8edc6, 0x36391b39, 0x9bc219c0, 0x3d033128, 0xdbcd463e, 0xd2506394, 0x061b87a5, 0x9e510235),
+        SECP256K1_GE_STORAGE_CONST(0xf75763bc, 0x2907e79b, 0x125e33c3, 0x9a027f48, 0x0f8c6409, 0x2153432f, 0x967bc2b1, 0x1d1f5cf0, 0x4b571239, 0xc9c6e4c6, 0x643de63f, 0xc2fcced7, 0x2432b9c1, 0x2daf9c6b, 0xf9e47859, 0x61aef9fa),
+    };
+
+    secp256k1_ge ge;
+    secp256k1_fe fe;
+    secp256k1_ge_storage ges;
+    int i, s;
+    for (i = 1; i <= 16; i++) {
+        secp256k1_fe_set_int(&fe, i);
+
+        for (s = 0; s < 2; s++) {
+            if (s) {
+                secp256k1_fe_negate(&fe, &fe, 1);
+                secp256k1_fe_normalize(&fe);
+            }
+            shallue_van_de_woestijne(&ge, &fe);
+            secp256k1_ge_to_storage(&ges, &ge);
+
+            CHECK(memcmp(&ges, &results[i * 2 + s - 2], sizeof(secp256k1_ge_storage)) == 0);
+        }
+    }
+}
+
+void test_generator_generate(void) {
+    static const secp256k1_ge_storage results[32] = {
+        SECP256K1_GE_STORAGE_CONST(0x806cd8ed, 0xd6c153e3, 0x4aa9b9a0, 0x8755c4be, 0x4718b1ef, 0xb26cb93f, 0xfdd99e1b, 0x21f2af8e, 0xc7062208, 0xcc649a03, 0x1bdc1a33, 0x9d01f115, 0x4bcd0dca, 0xfe0b875d, 0x62f35f73, 0x28673006),
+        SECP256K1_GE_STORAGE_CONST(0xd91b15ec, 0x47a811f4, 0xaa189561, 0xd13f5c4d, 0x4e81f10d, 0xc7dc551f, 0x4fea9b84, 0x610314c4, 0x9b0ada1e, 0xb38efd67, 0x8bff0b6c, 0x7d7315f7, 0xb49b8cc5, 0xa679fad4, 0xc94f9dc6, 0x9da66382),
+        SECP256K1_GE_STORAGE_CONST(0x11c00de6, 0xf885035e, 0x76051430, 0xa3c38b2a, 0x5f86ab8c, 0xf66dae58, 0x04ea7307, 0x348b19bf, 0xe0858ae7, 0x61dcb1ba, 0xff247e37, 0xd38fcd88, 0xf3bd7911, 0xaa4ed6e0, 0x28d792dd, 0x3ee1ac09),
+        SECP256K1_GE_STORAGE_CONST(0x986b99eb, 0x3130e7f0, 0xe779f674, 0xb85cb514, 0x46a676bf, 0xb1dfb603, 0x4c4bb639, 0x7c406210, 0xdf900609, 0x8b3ef1e0, 0x30e32fb0, 0xd97a4329, 0xff98aed0, 0xcd278c3f, 0xe6078467, 0xfbd12f35),
+        SECP256K1_GE_STORAGE_CONST(0xae528146, 0x03fdf91e, 0xc592977e, 0x12461dc7, 0xb9e038f8, 0x048dcb62, 0xea264756, 0xd459ae42, 0x80ef658d, 0x92becb84, 0xdba8e4f9, 0x560d7a72, 0xbaf4c393, 0xfbcf6007, 0x11039f1c, 0x224faaad),
+        SECP256K1_GE_STORAGE_CONST(0x00df3d91, 0x35975eee, 0x91fab903, 0xe3128e4a, 0xca071dde, 0x270814e5, 0xcbda69ec, 0xcad58f46, 0x11b590aa, 0x92d89969, 0x2dbd932f, 0x08013b8b, 0x45afabc6, 0x43677db2, 0x143e0c0f, 0x5865fb03),
+        SECP256K1_GE_STORAGE_CONST(0x1168155b, 0x987e9bc8, 0x84c5f3f4, 0x92ebf784, 0xcc8c6735, 0x39d8e5e8, 0xa967115a, 0x2949da9b, 0x0858a470, 0xf403ca97, 0xb1827f6f, 0x544c2c67, 0x08f6cb83, 0xc510c317, 0x96c981ed, 0xb9f61780),
+        SECP256K1_GE_STORAGE_CONST(0xe8d7c0cf, 0x2bb4194c, 0x97bf2a36, 0xbd115ba0, 0x81a9afe8, 0x7663fa3c, 0x9c3cd253, 0x79fe2571, 0x2028ad04, 0xefa00119, 0x5a25d598, 0x67e79502, 0x49de7c61, 0x4751cd9d, 0x4fb317f6, 0xf76f1110),
+        SECP256K1_GE_STORAGE_CONST(0x9532c491, 0xa64851dd, 0xcd0d3e5a, 0x93e17267, 0xa10aca95, 0xa23781aa, 0x5087f340, 0xc45fecc3, 0xb691ddc2, 0x3143a7b6, 0x09969302, 0x258affb8, 0x5bbf8666, 0xe1192319, 0xeb174d88, 0x308bd57a),
+        SECP256K1_GE_STORAGE_CONST(0x6b20b6e2, 0x1ba6cc44, 0x3f2c3a0c, 0x5283ba44, 0xbee43a0a, 0x2799a6cf, 0xbecc0f8a, 0xf8c583ac, 0xf7021e76, 0xd51291a6, 0xf9396215, 0x686f25aa, 0xbec36282, 0x5e11eeea, 0x6e51a6e6, 0xd7d7c006),
+        SECP256K1_GE_STORAGE_CONST(0xde27e6ff, 0x219b3ab1, 0x2b0a9e4e, 0x51fc6092, 0x96e55af6, 0xc6f717d6, 0x12cd6cce, 0x65d6c8f2, 0x48166884, 0x4dc13fd2, 0xed7a7d81, 0x66a0839a, 0x8a960863, 0xfe0001c1, 0x35d206fd, 0x63b87c09),
+        SECP256K1_GE_STORAGE_CONST(0x79a96fb8, 0xd88a08d3, 0x055d38d1, 0x3346b0d4, 0x47d838ca, 0xfcc8fa40, 0x6d3a7157, 0xef84e7e3, 0x6bab9c45, 0x2871b51d, 0xb0df2369, 0xe7860e01, 0x2e37ffea, 0x6689fd1a, 0x9c6fe9cf, 0xb940acea),
+        SECP256K1_GE_STORAGE_CONST(0x06c4d4cb, 0xd32c0ddb, 0x67e988c6, 0x2bdbe6ad, 0xa39b80cc, 0x61afb347, 0x234abe27, 0xa689618c, 0x5b355949, 0xf904fe08, 0x569b2313, 0xe8f19f8d, 0xc5b79e27, 0x70da0832, 0x5fb7a229, 0x238ca6b6),
+        SECP256K1_GE_STORAGE_CONST(0x7027e566, 0x3e727c28, 0x42aa14e5, 0x52c2d2ec, 0x1d8beaa9, 0x8a22ceab, 0x15ccafc3, 0xb4f06249, 0x9b3dffbc, 0xdbd5e045, 0x6931fd03, 0x8b1c6a9b, 0x4c168c6d, 0xa6553897, 0xfe11ce49, 0xac728139),
+        SECP256K1_GE_STORAGE_CONST(0xee3520c3, 0x9f2b954d, 0xf8e15547, 0xdaeb6cc8, 0x04c8f3b0, 0x9301f53e, 0xe0c11ea1, 0xeace539d, 0x244ff873, 0x7e060c98, 0xe843c353, 0xcd35d2e4, 0x3cd8b082, 0xcffbc9ae, 0x81eafa70, 0x332f9748),
+        SECP256K1_GE_STORAGE_CONST(0xdaecd756, 0xf5b706a4, 0xc14e1095, 0x3e2f70df, 0xa81276e7, 0x71806b89, 0x4d8a5502, 0xa0ef4998, 0xbac906c0, 0x948b1d48, 0xe023f439, 0xfd3770b8, 0x837f60cc, 0x40552a51, 0x433d0b79, 0x6610da27),
+        SECP256K1_GE_STORAGE_CONST(0x55e1ca28, 0x750fe2d0, 0x57f7449b, 0x3f49d999, 0x3b9616dd, 0x5387bc2e, 0x6e6698f8, 0xc4ea49f4, 0xe339e0e9, 0xa4c7fa99, 0xd063e062, 0x6582bce2, 0x33c6b1ee, 0x17a5b47f, 0x6d43ecf8, 0x98b40120),
+        SECP256K1_GE_STORAGE_CONST(0xdd82cac2, 0x9e0e0135, 0x4964d3bc, 0x27469233, 0xf13bbd5e, 0xd7aff24b, 0x4902fca8, 0x17294b12, 0x561ab1d6, 0xcd9bcb6e, 0x805585cf, 0x3df8714c, 0x1bfa6304, 0x5efbf122, 0x1a3d8fd9, 0x3827764a),
+        SECP256K1_GE_STORAGE_CONST(0xda5cbfb7, 0x3522e9c7, 0xcb594436, 0x83677038, 0x0eaa64a9, 0x2eca3888, 0x0fe4c9d6, 0xdeb22dbf, 0x4f46de68, 0x0447c780, 0xc54a314b, 0x5389a926, 0xbba8910b, 0x869fc6cd, 0x42ee82e8, 0x5895e42a),
+        SECP256K1_GE_STORAGE_CONST(0x4e09830e, 0xc8894c58, 0x4e6278de, 0x167a96b0, 0x20d60463, 0xee48f788, 0x4974d66e, 0x871e35e9, 0x21259c4d, 0x332ca932, 0x2e187df9, 0xe7afbc23, 0x9d171ebc, 0x7d9e2560, 0x503f50b1, 0x9fe45834),
+        SECP256K1_GE_STORAGE_CONST(0xabfff6ca, 0x41dcfd17, 0x03cae629, 0x9d127971, 0xf19ee000, 0x2db332e6, 0x5cc209a3, 0xc21b8f54, 0x65991d60, 0xee54f5cc, 0xddf7a732, 0xa76b0303, 0xb9f519a6, 0x22ea0390, 0x8af23ffa, 0x35ae6632),
+        SECP256K1_GE_STORAGE_CONST(0xc6c9b92c, 0x91e045a5, 0xa1913277, 0x44d6fce2, 0x11b12c7c, 0x9b3112d6, 0xc61e14a6, 0xd6b1ae12, 0x04ab0396, 0xebdc4c6a, 0xc213cc3e, 0x077a2e80, 0xb4ba7b2b, 0x33907d56, 0x2c98ccf7, 0xb82a2e9f),
+        SECP256K1_GE_STORAGE_CONST(0x66f6e6d9, 0xc4bb9a5f, 0x99085781, 0x83cb9362, 0x2ea437d8, 0xccd31969, 0xffadca3a, 0xff1d3935, 0x50a5b06e, 0x39e039d7, 0x1dfb2723, 0x18db74e5, 0x5af64da1, 0xdfc34586, 0x6aac3bd0, 0x5792a890),
+        SECP256K1_GE_STORAGE_CONST(0x58ded03c, 0x98e1a890, 0x63fc7793, 0xe3ecd896, 0x235e75c9, 0x82e7008f, 0xddbf3ca8, 0x5b7e9ecb, 0x34594776, 0x58ab6821, 0xaf43a453, 0xa946fda9, 0x13d24999, 0xccf22df8, 0xd291ef59, 0xb08975c0),
+        SECP256K1_GE_STORAGE_CONST(0x74557864, 0x4f2b0486, 0xd5beea7c, 0x2d258ccb, 0x78a870e1, 0x848982d8, 0xed3f91a4, 0x9db83a36, 0xd84e940e, 0x1d33c28a, 0x62398ec8, 0xc493aee7, 0x7c2ba722, 0x42dee7ae, 0x3c35c256, 0xad00cf42),
+        SECP256K1_GE_STORAGE_CONST(0x7fc7963a, 0x16abc8fb, 0x5d61eb61, 0x0fc50a68, 0x754470d2, 0xf43df3be, 0x52228f66, 0x522fe61b, 0x499f9e7f, 0x462c6545, 0x29687af4, 0x9f7c732d, 0x48801ce5, 0x21acd546, 0xc6fb903c, 0x7c265032),
+        SECP256K1_GE_STORAGE_CONST(0xb2f6257c, 0xc58df82f, 0xb9ba4f36, 0x7ededf03, 0xf8ea10f3, 0x104d7ae6, 0x233b7ac4, 0x725e11de, 0x9c7a32df, 0x4842f33d, 0xaad84f0b, 0x62e88b40, 0x46ddcbde, 0xbbeec6f8, 0x93bfde27, 0x0561dc73),
+        SECP256K1_GE_STORAGE_CONST(0xe2cdfd27, 0x8a8e22be, 0xabf08b79, 0x1bc6ae38, 0x41d22a9a, 0x9472e266, 0x1a7c6e83, 0xa2f74725, 0x0e26c103, 0xe0dd93b2, 0x3724f3b7, 0x8bb7366e, 0x2c245768, 0xd64f3283, 0xd8316e8a, 0x1383b977),
+        SECP256K1_GE_STORAGE_CONST(0x757c13e7, 0xe866017e, 0xe6af61d7, 0x161d208a, 0xc438f712, 0x242fcd23, 0x63a10e59, 0xd67e41fb, 0xb550c6a9, 0x4ddb15f3, 0xfeea4bfe, 0xd2faa19f, 0x2aa2fbd3, 0x0c6ae785, 0xe357f365, 0xb30d12e0),
+        SECP256K1_GE_STORAGE_CONST(0x528d525e, 0xac30095b, 0x5e5f83ca, 0x4d3dea63, 0xeb608f2d, 0x18dd25a7, 0x2529c8e5, 0x1ae5f9f1, 0xfde2860b, 0x492a4106, 0x9f356c05, 0x3ebc045e, 0x4ad08b79, 0x3e264935, 0xf25785a9, 0x8690b5ee),
+        SECP256K1_GE_STORAGE_CONST(0x150df593, 0x5b6956a0, 0x0cfed843, 0xb9d6ffce, 0x4f790022, 0xea18730f, 0xc495111d, 0x91568e55, 0x6700a2ca, 0x9ff4ed32, 0xc1697312, 0x4eb51ce3, 0x5656344b, 0x65a1e3d5, 0xd6c1f7ce, 0x29233f82),
+        SECP256K1_GE_STORAGE_CONST(0x38e02eaf, 0x2c8774fd, 0x58b8b373, 0x732457f1, 0x16dbe53b, 0xea5683d9, 0xada20dd7, 0x14ce20a6, 0x6ac5362e, 0xbb425416, 0x8250f43f, 0xa4ee2b63, 0x0406324f, 0x1c876d60, 0xebe5be2c, 0x6eb1515b),
+    };
+    secp256k1_generator gen;
+    secp256k1_ge ge;
+    secp256k1_ge_storage ges;
+    int i;
+    unsigned char v[32];
+    static const unsigned char s[32] = {0};
+    secp256k1_scalar sc;
+    secp256k1_scalar_set_b32(&sc, s, NULL);
+    for (i = 1; i <= 32; i++) {
+        memset(v, 0, 31);
+        v[31] = i;
+        CHECK(secp256k1_generator_generate_blinded(ctx, &gen, v, s));
+        secp256k1_generator_load(&ge, &gen);
+        secp256k1_ge_to_storage(&ges, &ge);
+        CHECK(memcmp(&ges, &results[i - 1], sizeof(secp256k1_ge_storage)) == 0);
+        CHECK(secp256k1_generator_generate(ctx, &gen, v));
+        secp256k1_generator_load(&ge, &gen);
+        secp256k1_ge_to_storage(&ges, &ge);
+        CHECK(memcmp(&ges, &results[i - 1], sizeof(secp256k1_ge_storage)) == 0);
+    }
+}
+
+void test_generator_fixed_vector(void) {
+    const unsigned char two_g[33] = {
+        0x0b,
+        0xc6, 0x04, 0x7f, 0x94, 0x41, 0xed, 0x7d, 0x6d, 0x30, 0x45, 0x40, 0x6e, 0x95, 0xc0, 0x7c, 0xd8,
+        0x5c, 0x77, 0x8e, 0x4b, 0x8c, 0xef, 0x3c, 0xa7, 0xab, 0xac, 0x09, 0xb9, 0x5c, 0x70, 0x9e, 0xe5
+    };
+    unsigned char result[33];
+    secp256k1_generator parse;
+
+    CHECK(secp256k1_generator_parse(ctx, &parse, two_g));
+    CHECK(secp256k1_generator_serialize(ctx, result, &parse));
+    CHECK(memcmp(two_g, result, 33) == 0);
+
+    result[0] = 0x0a;
+    CHECK(secp256k1_generator_parse(ctx, &parse, result));
+    result[0] = 0x08;
+    CHECK(!secp256k1_generator_parse(ctx, &parse, result));
+}
+
+void run_generator_tests(void) {
+    test_shallue_van_de_woestijne();
+    test_generator_fixed_vector();
+    test_generator_api();
+    test_generator_generate();
+}
+
+#endif

src/secp256k1/src/modules/rangeproof/Makefile.am.include

@@ -0,0 +1,15 @@
+include_HEADERS += include/secp256k1_rangeproof.h
+noinst_HEADERS += src/modules/rangeproof/main_impl.h
+noinst_HEADERS += src/modules/rangeproof/pedersen.h
+noinst_HEADERS += src/modules/rangeproof/pedersen_impl.h
+noinst_HEADERS += src/modules/rangeproof/borromean.h
+noinst_HEADERS += src/modules/rangeproof/borromean_impl.h
+noinst_HEADERS += src/modules/rangeproof/rangeproof.h
+noinst_HEADERS += src/modules/rangeproof/rangeproof_impl.h
+noinst_HEADERS += src/modules/rangeproof/tests_impl.h
+if USE_BENCHMARK
+noinst_PROGRAMS += bench_rangeproof
+bench_rangeproof_SOURCES = src/bench_rangeproof.c
+bench_rangeproof_LDADD = libsecp256k1.la $(SECP_LIBS)
+bench_rangeproof_LDFLAGS = -static
+endif

src/secp256k1/src/modules/rangeproof/borromean.h

@@ -0,0 +1,24 @@
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Gregory Maxwell                          *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+
+#ifndef _SECP256K1_BORROMEAN_H_
+#define _SECP256K1_BORROMEAN_H_
+
+#include "scalar.h"
+#include "field.h"
+#include "group.h"
+#include "ecmult.h"
+#include "ecmult_gen.h"
+
+int secp256k1_borromean_verify(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_scalar *evalues, const unsigned char *e0, const secp256k1_scalar *s,
+ const secp256k1_gej *pubs, const size_t *rsizes, size_t nrings, const unsigned char *m, size_t mlen);
+
+int secp256k1_borromean_sign(const secp256k1_ecmult_context* ecmult_ctx, const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
+ unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *k, const secp256k1_scalar *sec,
+ const size_t *rsizes, const size_t *secidx, size_t nrings, const unsigned char *m, size_t mlen);
+
+#endif

src/secp256k1/src/modules/rangeproof/borromean_impl.h

@@ -0,0 +1,204 @@
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Gregory Maxwell                          *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+
+#ifndef _SECP256K1_BORROMEAN_IMPL_H_
+#define _SECP256K1_BORROMEAN_IMPL_H_
+
+#include "scalar.h"
+#include "field.h"
+#include "group.h"
+#include "hash.h"
+#include "eckey.h"
+#include "ecmult.h"
+#include "ecmult_gen.h"
+#include "borromean.h"
+
+#include <limits.h>
+#include <string.h>
+
+#ifdef WORDS_BIGENDIAN
+#define BE32(x) (x)
+#else
+#define BE32(p) ((((p) & 0xFF) << 24) | (((p) & 0xFF00) << 8) | (((p) & 0xFF0000) >> 8) | (((p) & 0xFF000000) >> 24))
+#endif
+
+SECP256K1_INLINE static void secp256k1_borromean_hash(unsigned char *hash, const unsigned char *m, size_t mlen, const unsigned char *e, size_t elen,
+ size_t ridx, size_t eidx) {
+    uint32_t ring;
+    uint32_t epos;
+    secp256k1_sha256 sha256_en;
+    secp256k1_sha256_initialize(&sha256_en);
+    ring = BE32((uint32_t)ridx);
+    epos = BE32((uint32_t)eidx);
+    secp256k1_sha256_write(&sha256_en, e, elen);
+    secp256k1_sha256_write(&sha256_en, m, mlen);
+    secp256k1_sha256_write(&sha256_en, (unsigned char*)&ring, 4);
+    secp256k1_sha256_write(&sha256_en, (unsigned char*)&epos, 4);
+    secp256k1_sha256_finalize(&sha256_en, hash);
+}
+
+/**  "Borromean" ring signature.
+ *   Verifies nrings concurrent ring signatures all sharing a challenge value.
+ *   Signature is one s value per pubkey and a hash.
+ *   Verification equation:
+ *   | m = H(P_{0..}||message) (Message must contain pubkeys or a pubkey commitment)
+ *   | For each ring i:
+ *   | | en = to_scalar(H(e0||m||i||0))
+ *   | | For each pubkey j:
+ *   | | | r = s_i_j G + en * P_i_j
+ *   | | | e = H(r||m||i||j)
+ *   | | | en = to_scalar(e)
+ *   | | r_i = r
+ *   | return e_0 ==== H(r_{0..i}||m)
+ */
+int secp256k1_borromean_verify(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_scalar *evalues, const unsigned char *e0,
+ const secp256k1_scalar *s, const secp256k1_gej *pubs, const size_t *rsizes, size_t nrings, const unsigned char *m, size_t mlen) {
+    secp256k1_gej rgej;
+    secp256k1_ge rge;
+    secp256k1_scalar ens;
+    secp256k1_sha256 sha256_e0;
+    unsigned char tmp[33];
+    size_t i;
+    size_t j;
+    size_t count;
+    size_t size;
+    int overflow;
+    VERIFY_CHECK(ecmult_ctx != NULL);
+    VERIFY_CHECK(e0 != NULL);
+    VERIFY_CHECK(s != NULL);
+    VERIFY_CHECK(pubs != NULL);
+    VERIFY_CHECK(rsizes != NULL);
+    VERIFY_CHECK(nrings > 0);
+    VERIFY_CHECK(m != NULL);
+    count = 0;
+    secp256k1_sha256_initialize(&sha256_e0);
+    for (i = 0; i < nrings; i++) {
+        VERIFY_CHECK(INT_MAX - count > rsizes[i]);
+        secp256k1_borromean_hash(tmp, m, mlen, e0, 32, i, 0);
+        secp256k1_scalar_set_b32(&ens, tmp, &overflow);
+        for (j = 0; j < rsizes[i]; j++) {
+            if (overflow || secp256k1_scalar_is_zero(&s[count]) || secp256k1_scalar_is_zero(&ens) || secp256k1_gej_is_infinity(&pubs[count])) {
+                return 0;
+            }
+            if (evalues) {
+                /*If requested, save the challenges for proof rewind.*/
+                evalues[count] = ens;
+            }
+            secp256k1_ecmult(ecmult_ctx, &rgej, &pubs[count], &ens, &s[count]);
+            if (secp256k1_gej_is_infinity(&rgej)) {
+                return 0;
+            }
+            /* OPT: loop can be hoisted and split to use batch inversion across all the rings; this would make it much faster. */
+            secp256k1_ge_set_gej_var(&rge, &rgej);
+            secp256k1_eckey_pubkey_serialize(&rge, tmp, &size, 1);
+            if (j != rsizes[i] - 1) {
+                secp256k1_borromean_hash(tmp, m, mlen, tmp, 33, i, j + 1);
+                secp256k1_scalar_set_b32(&ens, tmp, &overflow);
+            } else {
+                secp256k1_sha256_write(&sha256_e0, tmp, size);
+            }
+            count++;
+        }
+    }
+    secp256k1_sha256_write(&sha256_e0, m, mlen);
+    secp256k1_sha256_finalize(&sha256_e0, tmp);
+    return memcmp(e0, tmp, 32) == 0;
+}
+
+int secp256k1_borromean_sign(const secp256k1_ecmult_context* ecmult_ctx, const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
+ unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *k, const secp256k1_scalar *sec,
+ const size_t *rsizes, const size_t *secidx, size_t nrings, const unsigned char *m, size_t mlen) {
+    secp256k1_gej rgej;
+    secp256k1_ge rge;
+    secp256k1_scalar ens;
+    secp256k1_sha256 sha256_e0;
+    unsigned char tmp[33];
+    size_t i;
+    size_t j;
+    size_t count;
+    size_t size;
+    int overflow;
+    VERIFY_CHECK(ecmult_ctx != NULL);
+    VERIFY_CHECK(ecmult_gen_ctx != NULL);
+    VERIFY_CHECK(e0 != NULL);
+    VERIFY_CHECK(s != NULL);
+    VERIFY_CHECK(pubs != NULL);
+    VERIFY_CHECK(k != NULL);
+    VERIFY_CHECK(sec != NULL);
+    VERIFY_CHECK(rsizes != NULL);
+    VERIFY_CHECK(secidx != NULL);
+    VERIFY_CHECK(nrings > 0);
+    VERIFY_CHECK(m != NULL);
+    secp256k1_sha256_initialize(&sha256_e0);
+    count = 0;
+    for (i = 0; i < nrings; i++) {
+        VERIFY_CHECK(INT_MAX - count > rsizes[i]);
+        secp256k1_ecmult_gen(ecmult_gen_ctx, &rgej, &k[i]);
+        secp256k1_ge_set_gej(&rge, &rgej);
+        if (secp256k1_gej_is_infinity(&rgej)) {
+            return 0;
+        }
+        secp256k1_eckey_pubkey_serialize(&rge, tmp, &size, 1);
+        for (j = secidx[i] + 1; j < rsizes[i]; j++) {
+            secp256k1_borromean_hash(tmp, m, mlen, tmp, 33, i, j);
+            secp256k1_scalar_set_b32(&ens, tmp, &overflow);
+            if (overflow || secp256k1_scalar_is_zero(&ens)) {
+                return 0;
+            }
+            /** The signing algorithm as a whole is not memory uniform so there is likely a cache sidechannel that
+             *  leaks which members are non-forgeries. That the forgeries themselves are variable time may leave
+             *  an additional privacy impacting timing side-channel, but not a key loss one.
+             */
+            secp256k1_ecmult(ecmult_ctx, &rgej, &pubs[count + j], &ens, &s[count + j]);
+            if (secp256k1_gej_is_infinity(&rgej)) {
+                return 0;
+            }
+            secp256k1_ge_set_gej_var(&rge, &rgej);
+            secp256k1_eckey_pubkey_serialize(&rge, tmp, &size, 1);
+        }
+        secp256k1_sha256_write(&sha256_e0, tmp, size);
+        count += rsizes[i];
+    }
+    secp256k1_sha256_write(&sha256_e0, m, mlen);
+    secp256k1_sha256_finalize(&sha256_e0, e0);
+    count = 0;
+    for (i = 0; i < nrings; i++) {
+        VERIFY_CHECK(INT_MAX - count > rsizes[i]);
+        secp256k1_borromean_hash(tmp, m, mlen, e0, 32, i, 0);
+        secp256k1_scalar_set_b32(&ens, tmp, &overflow);
+        if (overflow || secp256k1_scalar_is_zero(&ens)) {
+            return 0;
+        }
+        for (j = 0; j < secidx[i]; j++) {
+            secp256k1_ecmult(ecmult_ctx, &rgej, &pubs[count + j], &ens, &s[count + j]);
+            if (secp256k1_gej_is_infinity(&rgej)) {
+                return 0;
+            }
+            secp256k1_ge_set_gej_var(&rge, &rgej);
+            secp256k1_eckey_pubkey_serialize(&rge, tmp, &size, 1);
+            secp256k1_borromean_hash(tmp, m, mlen, tmp, 33, i, j + 1);
+            secp256k1_scalar_set_b32(&ens, tmp, &overflow);
+            if (overflow || secp256k1_scalar_is_zero(&ens)) {
+                return 0;
+            }
+        }
+        secp256k1_scalar_mul(&s[count + j], &ens, &sec[i]);
+        secp256k1_scalar_negate(&s[count + j], &s[count + j]);
+        secp256k1_scalar_add(&s[count + j], &s[count + j], &k[i]);
+        if (secp256k1_scalar_is_zero(&s[count + j])) {
+            return 0;
+        }
+        count += rsizes[i];
+    }
+    secp256k1_scalar_clear(&ens);
+    secp256k1_ge_clear(&rge);
+    secp256k1_gej_clear(&rgej);
+    memset(tmp, 0, 33);
+    return 1;
+}
+
+#endif

src/secp256k1/src/modules/rangeproof/main_impl.h

@@ -0,0 +1,295 @@
+/**********************************************************************
+ * Copyright (c) 2014-2015 Gregory Maxwell                            *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_RANGEPROOF_MAIN
+#define SECP256K1_MODULE_RANGEPROOF_MAIN
+
+#include "group.h"
+
+#include "modules/rangeproof/pedersen_impl.h"
+#include "modules/rangeproof/borromean_impl.h"
+#include "modules/rangeproof/rangeproof_impl.h"
+
+/** Alternative generator for secp256k1.
+ *  This is the sha256 of 'g' after DER encoding (without compression),
+ *  which happens to be a point on the curve.
+ *  sage: G2 = EllipticCurve ([F (0), F (7)]).lift_x(F(int(hashlib.sha256('0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8'.decode('hex')).hexdigest(),16)))
+ *  sage: '%x %x' % G2.xy()
+ */
+static const secp256k1_generator secp256k1_generator_h_internal = {{
+    0x50, 0x92, 0x9b, 0x74, 0xc1, 0xa0, 0x49, 0x54, 0xb7, 0x8b, 0x4b, 0x60, 0x35, 0xe9, 0x7a, 0x5e,
+    0x07, 0x8a, 0x5a, 0x0f, 0x28, 0xec, 0x96, 0xd5, 0x47, 0xbf, 0xee, 0x9a, 0xce, 0x80, 0x3a, 0xc0,
+    0x31, 0xd3, 0xc6, 0x86, 0x39, 0x73, 0x92, 0x6e, 0x04, 0x9e, 0x63, 0x7c, 0xb1, 0xb5, 0xf4, 0x0a,
+    0x36, 0xda, 0xc2, 0x8a, 0xf1, 0x76, 0x69, 0x68, 0xc3, 0x0c, 0x23, 0x13, 0xf3, 0xa3, 0x89, 0x04
+}};
+
+const secp256k1_generator *secp256k1_generator_h = &secp256k1_generator_h_internal;
+
+static void secp256k1_pedersen_commitment_load(secp256k1_ge* ge, const secp256k1_pedersen_commitment* commit) {
+    secp256k1_fe fe;
+    secp256k1_fe_set_b32(&fe, &commit->data[1]);
+    secp256k1_ge_set_xquad(ge, &fe);
+    if (commit->data[0] & 1) {
+        secp256k1_ge_neg(ge, ge);
+    }
+}
+
+static void secp256k1_pedersen_commitment_save(secp256k1_pedersen_commitment* commit, secp256k1_ge* ge) {
+    secp256k1_fe_normalize(&ge->x);
+    secp256k1_fe_get_b32(&commit->data[1], &ge->x);
+    commit->data[0] = 9 ^ secp256k1_fe_is_quad_var(&ge->y);
+}
+
+int secp256k1_pedersen_commitment_parse(const secp256k1_context* ctx, secp256k1_pedersen_commitment* commit, const unsigned char *input) {
+    secp256k1_fe x;
+    secp256k1_ge ge;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(commit != NULL);
+    ARG_CHECK(input != NULL);
+    (void) ctx;
+
+    if ((input[0] & 0xFE) != 8 ||
+        !secp256k1_fe_set_b32(&x, &input[1]) ||
+        !secp256k1_ge_set_xquad(&ge, &x)) {
+        return 0;
+    }
+    if (input[0] & 1) {
+        secp256k1_ge_neg(&ge, &ge);
+    }
+    secp256k1_pedersen_commitment_save(commit, &ge);
+    return 1;
+}
+
+int secp256k1_pedersen_commitment_serialize(const secp256k1_context* ctx, unsigned char *output, const secp256k1_pedersen_commitment* commit) {
+    secp256k1_ge ge;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(output != NULL);
+    ARG_CHECK(commit != NULL);
+
+    secp256k1_pedersen_commitment_load(&ge, commit);
+
+    output[0] = 9 ^ secp256k1_fe_is_quad_var(&ge.y);
+    secp256k1_fe_normalize_var(&ge.x);
+    secp256k1_fe_get_b32(&output[1], &ge.x);
+    return 1;
+}
+
+/* Generates a pedersen commitment: *commit = blind * G + value * G2. The blinding factor is 32 bytes.*/
+int secp256k1_pedersen_commit(const secp256k1_context* ctx, secp256k1_pedersen_commitment *commit, const unsigned char *blind, uint64_t value, const secp256k1_generator* gen) {
+    secp256k1_ge genp;
+    secp256k1_gej rj;
+    secp256k1_ge r;
+    secp256k1_scalar sec;
+    int overflow;
+    int ret = 0;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    ARG_CHECK(commit != NULL);
+    ARG_CHECK(blind != NULL);
+    ARG_CHECK(gen != NULL);
+    secp256k1_generator_load(&genp, gen);
+    secp256k1_scalar_set_b32(&sec, blind, &overflow);
+    if (!overflow) {
+        secp256k1_pedersen_ecmult(&ctx->ecmult_gen_ctx, &rj, &sec, value, &genp);
+        if (!secp256k1_gej_is_infinity(&rj)) {
+            secp256k1_ge_set_gej(&r, &rj);
+            secp256k1_pedersen_commitment_save(commit, &r);
+            ret = 1;
+        }
+        secp256k1_gej_clear(&rj);
+        secp256k1_ge_clear(&r);
+    }
+    secp256k1_scalar_clear(&sec);
+    return ret;
+}
+
+/** Takes a list of n pointers to 32 byte blinding values, the first negs of which are treated with positive sign and the rest
+ *  negative, then calculates an additional blinding value that adds to zero.
+ */
+int secp256k1_pedersen_blind_sum(const secp256k1_context* ctx, unsigned char *blind_out, const unsigned char * const *blinds, size_t n, size_t npositive) {
+    secp256k1_scalar acc;
+    secp256k1_scalar x;
+    size_t i;
+    int overflow;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(blind_out != NULL);
+    ARG_CHECK(blinds != NULL);
+    ARG_CHECK(npositive <= n);
+    (void) ctx;
+    secp256k1_scalar_set_int(&acc, 0);
+    for (i = 0; i < n; i++) {
+        secp256k1_scalar_set_b32(&x, blinds[i], &overflow);
+        if (overflow) {
+            return 0;
+        }
+        if (i >= npositive) {
+            secp256k1_scalar_negate(&x, &x);
+        }
+        secp256k1_scalar_add(&acc, &acc, &x);
+    }
+    secp256k1_scalar_get_b32(blind_out, &acc);
+    secp256k1_scalar_clear(&acc);
+    secp256k1_scalar_clear(&x);
+    return 1;
+}
+
+/* Takes two lists of commitments and sums the first set and subtracts the second and verifies that they sum to excess. */
+int secp256k1_pedersen_verify_tally(const secp256k1_context* ctx, const secp256k1_pedersen_commitment * const* commits, size_t pcnt, const secp256k1_pedersen_commitment * const* ncommits, size_t ncnt) {
+    secp256k1_gej accj;
+    secp256k1_ge add;
+    size_t i;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(!pcnt || (commits != NULL));
+    ARG_CHECK(!ncnt || (ncommits != NULL));
+    (void) ctx;
+    secp256k1_gej_set_infinity(&accj);
+    for (i = 0; i < ncnt; i++) {
+        secp256k1_pedersen_commitment_load(&add, ncommits[i]);
+        secp256k1_gej_add_ge_var(&accj, &accj, &add, NULL);
+    }
+    secp256k1_gej_neg(&accj, &accj);
+    for (i = 0; i < pcnt; i++) {
+        secp256k1_pedersen_commitment_load(&add, commits[i]);
+        secp256k1_gej_add_ge_var(&accj, &accj, &add, NULL);
+    }
+    return secp256k1_gej_is_infinity(&accj);
+}
+
+int secp256k1_pedersen_blind_generator_blind_sum(const secp256k1_context* ctx, const uint64_t *value, const unsigned char* const* generator_blind, unsigned char* const* blinding_factor, size_t n_total, size_t n_inputs) {
+    secp256k1_scalar sum;
+    secp256k1_scalar tmp;
+    size_t i;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(n_total == 0 || value != NULL);
+    ARG_CHECK(n_total == 0 || generator_blind != NULL);
+    ARG_CHECK(n_total == 0 || blinding_factor != NULL);
+    ARG_CHECK(n_total > n_inputs);
+    (void) ctx;
+
+    if (n_total == 0) {
+        return 1;
+    }
+
+    secp256k1_scalar_set_int(&sum, 0);
+    for (i = 0; i < n_total; i++) {
+        int overflow = 0;
+        secp256k1_scalar addend;
+        secp256k1_scalar_set_u64(&addend, value[i]);  /* s = v */
+
+        secp256k1_scalar_set_b32(&tmp, generator_blind[i], &overflow);
+        if (overflow == 1) {
+            secp256k1_scalar_clear(&tmp);
+            secp256k1_scalar_clear(&addend);
+            secp256k1_scalar_clear(&sum);
+            return 0;
+        }
+        secp256k1_scalar_mul(&addend, &addend, &tmp); /* s = vr */
+
+        secp256k1_scalar_set_b32(&tmp, blinding_factor[i], &overflow);
+        if (overflow == 1) {
+            secp256k1_scalar_clear(&tmp);
+            secp256k1_scalar_clear(&addend);
+            secp256k1_scalar_clear(&sum);
+            return 0;
+        }
+        secp256k1_scalar_add(&addend, &addend, &tmp); /* s = vr + r' */
+        secp256k1_scalar_cond_negate(&addend, i < n_inputs);  /* s is negated if it's an input */
+        secp256k1_scalar_add(&sum, &sum, &addend);    /* sum += s */
+        secp256k1_scalar_clear(&addend);
+    }
+
+    /* Right now tmp has the last pedersen blinding factor. Subtract the sum from it. */
+    secp256k1_scalar_negate(&sum, &sum);
+    secp256k1_scalar_add(&tmp, &tmp, &sum);
+    secp256k1_scalar_get_b32(blinding_factor[n_total - 1], &tmp);
+
+    secp256k1_scalar_clear(&tmp);
+    secp256k1_scalar_clear(&sum);
+    return 1;
+}
+
+int secp256k1_rangeproof_info(const secp256k1_context* ctx, int *exp, int *mantissa,
+ uint64_t *min_value, uint64_t *max_value, const unsigned char *proof, size_t plen) {
+    size_t offset;
+    uint64_t scale;
+    ARG_CHECK(exp != NULL);
+    ARG_CHECK(mantissa != NULL);
+    ARG_CHECK(min_value != NULL);
+    ARG_CHECK(max_value != NULL);
+    ARG_CHECK(proof != NULL);
+    offset = 0;
+    scale = 1;
+    (void)ctx;
+    return secp256k1_rangeproof_getheader_impl(&offset, exp, mantissa, &scale, min_value, max_value, proof, plen);
+}
+
+int secp256k1_rangeproof_rewind(const secp256k1_context* ctx,
+ unsigned char *blind_out, uint64_t *value_out, unsigned char *message_out, size_t *outlen, const unsigned char *nonce,
+ uint64_t *min_value, uint64_t *max_value,
+ const secp256k1_pedersen_commitment *commit, const unsigned char *proof, size_t plen, const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_generator* gen) {
+    secp256k1_ge commitp;
+    secp256k1_ge genp;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(commit != NULL);
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(min_value != NULL);
+    ARG_CHECK(max_value != NULL);
+    ARG_CHECK(message_out != NULL || outlen == NULL);
+    ARG_CHECK(nonce != NULL);
+    ARG_CHECK(extra_commit != NULL || extra_commit_len == 0);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    secp256k1_pedersen_commitment_load(&commitp, commit);
+    secp256k1_generator_load(&genp, gen);
+    return secp256k1_rangeproof_verify_impl(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx,
+     blind_out, value_out, message_out, outlen, nonce, min_value, max_value, &commitp, proof, plen, extra_commit, extra_commit_len, &genp);
+}
+
+int secp256k1_rangeproof_verify(const secp256k1_context* ctx, uint64_t *min_value, uint64_t *max_value,
+ const secp256k1_pedersen_commitment *commit, const unsigned char *proof, size_t plen, const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_generator* gen) {
+    secp256k1_ge commitp;
+    secp256k1_ge genp;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(commit != NULL);
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(min_value != NULL);
+    ARG_CHECK(max_value != NULL);
+    ARG_CHECK(extra_commit != NULL || extra_commit_len == 0);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    secp256k1_pedersen_commitment_load(&commitp, commit);
+    secp256k1_generator_load(&genp, gen);
+    return secp256k1_rangeproof_verify_impl(&ctx->ecmult_ctx, NULL,
+     NULL, NULL, NULL, NULL, NULL, min_value, max_value, &commitp, proof, plen, extra_commit, extra_commit_len, &genp);
+}
+
+int secp256k1_rangeproof_sign(const secp256k1_context* ctx, unsigned char *proof, size_t *plen, uint64_t min_value,
+ const secp256k1_pedersen_commitment *commit, const unsigned char *blind, const unsigned char *nonce, int exp, int min_bits, uint64_t value,
+ const unsigned char *message, size_t msg_len, const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_generator* gen){
+    secp256k1_ge commitp;
+    secp256k1_ge genp;
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(plen != NULL);
+    ARG_CHECK(commit != NULL);
+    ARG_CHECK(blind != NULL);
+    ARG_CHECK(nonce != NULL);
+    ARG_CHECK(message != NULL || msg_len == 0);
+    ARG_CHECK(extra_commit != NULL || extra_commit_len == 0);
+    ARG_CHECK(gen != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    secp256k1_pedersen_commitment_load(&commitp, commit);
+    secp256k1_generator_load(&genp, gen);
+    return secp256k1_rangeproof_sign_impl(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx,
+     proof, plen, min_value, &commitp, blind, nonce, exp, min_bits, value, message, msg_len, extra_commit, extra_commit_len, &genp);
+}
+
+#endif

src/secp256k1/src/modules/rangeproof/pedersen.h

@@ -0,0 +1,22 @@
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Gregory Maxwell                          *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_PEDERSEN_H_
+#define _SECP256K1_PEDERSEN_H_
+
+#include "ecmult_gen.h"
+#include "group.h"
+#include "scalar.h"
+
+#include <stdint.h>
+
+/** Multiply a small number with the generator: r = gn*G2 */
+static void secp256k1_pedersen_ecmult_small(secp256k1_gej *r, uint64_t gn, const secp256k1_ge* genp);
+
+/* sec * G + value * G2. */
+static void secp256k1_pedersen_ecmult(const secp256k1_ecmult_gen_context *ecmult_gen_ctx, secp256k1_gej *rj, const secp256k1_scalar *sec, uint64_t value, const secp256k1_ge* genp);
+
+#endif

src/secp256k1/src/modules/rangeproof/pedersen_impl.h

@@ -0,0 +1,51 @@
+/***********************************************************************
+ * Copyright (c) 2015 Gregory Maxwell                                  *
+ * Distributed under the MIT software license, see the accompanying    *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php. *
+ ***********************************************************************/
+
+#ifndef _SECP256K1_PEDERSEN_IMPL_H_
+#define _SECP256K1_PEDERSEN_IMPL_H_
+
+#include <string.h>
+
+#include "eckey.h"
+#include "ecmult_const.h"
+#include "ecmult_gen.h"
+#include "group.h"
+#include "field.h"
+#include "scalar.h"
+#include "util.h"
+
+static void secp256k1_pedersen_scalar_set_u64(secp256k1_scalar *sec, uint64_t value) {
+    unsigned char data[32];
+    int i;
+    for (i = 0; i < 24; i++) {
+        data[i] = 0;
+    }
+    for (; i < 32; i++) {
+        data[i] = value >> 56;
+        value <<= 8;
+    }
+    secp256k1_scalar_set_b32(sec, data, NULL);
+    memset(data, 0, 32);
+}
+
+static void secp256k1_pedersen_ecmult_small(secp256k1_gej *r, uint64_t gn, const secp256k1_ge* genp) {
+    secp256k1_scalar s;
+    secp256k1_pedersen_scalar_set_u64(&s, gn);
+    secp256k1_ecmult_const(r, genp, &s, 64);
+    secp256k1_scalar_clear(&s);
+}
+
+/* sec * G + value * G2. */
+SECP256K1_INLINE static void secp256k1_pedersen_ecmult(const secp256k1_ecmult_gen_context *ecmult_gen_ctx, secp256k1_gej *rj, const secp256k1_scalar *sec, uint64_t value, const secp256k1_ge* genp) {
+    secp256k1_gej vj;
+    secp256k1_ecmult_gen(ecmult_gen_ctx, rj, sec);
+    secp256k1_pedersen_ecmult_small(&vj, value, genp);
+    /* FIXME: constant time. */
+    secp256k1_gej_add_var(rj, rj, &vj, NULL);
+    secp256k1_gej_clear(&vj);
+}
+
+#endif

src/secp256k1/src/modules/rangeproof/rangeproof.h

@@ -0,0 +1,21 @@
+/**********************************************************************
+ * Copyright (c) 2015 Gregory Maxwell                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_RANGEPROOF_H_
+#define _SECP256K1_RANGEPROOF_H_
+
+#include "scalar.h"
+#include "group.h"
+#include "ecmult.h"
+#include "ecmult_gen.h"
+
+static int secp256k1_rangeproof_verify_impl(const secp256k1_ecmult_context* ecmult_ctx,
+ const secp256k1_ecmult_gen_context* ecmult_gen_ctx,
+ unsigned char *blindout, uint64_t *value_out, unsigned char *message_out, size_t *outlen, const unsigned char *nonce,
+ uint64_t *min_value, uint64_t *max_value, const secp256k1_ge *commit, const unsigned char *proof, size_t plen,
+ const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_ge* genp);
+
+#endif

src/secp256k1/src/modules/rangeproof/rangeproof_impl.h

@@ -0,0 +1,685 @@
+/**********************************************************************
+ * Copyright (c) 2015 Gregory Maxwell                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_RANGEPROOF_IMPL_H_
+#define _SECP256K1_RANGEPROOF_IMPL_H_
+
+#include "eckey.h"
+#include "scalar.h"
+#include "group.h"
+#include "rangeproof.h"
+#include "hash_impl.h"
+#include "pedersen_impl.h"
+#include "util.h"
+
+#include "modules/rangeproof/pedersen.h"
+#include "modules/rangeproof/borromean.h"
+
+SECP256K1_INLINE static void secp256k1_rangeproof_pub_expand(secp256k1_gej *pubs,
+ int exp, size_t *rsizes, size_t rings, const secp256k1_ge* genp) {
+    secp256k1_gej base;
+    size_t i;
+    size_t j;
+    size_t npub;
+    VERIFY_CHECK(exp < 19);
+    if (exp < 0) {
+        exp = 0;
+    }
+    secp256k1_gej_set_ge(&base, genp);
+    secp256k1_gej_neg(&base, &base);
+    while (exp--) {
+        /* Multiplication by 10 */
+        secp256k1_gej tmp;
+        secp256k1_gej_double_var(&tmp, &base, NULL);
+        secp256k1_gej_double_var(&base, &tmp, NULL);
+        secp256k1_gej_double_var(&base, &base, NULL);
+        secp256k1_gej_add_var(&base, &base, &tmp, NULL);
+    }
+    npub = 0;
+    for (i = 0; i < rings; i++) {
+        for (j = 1; j < rsizes[i]; j++) {
+            secp256k1_gej_add_var(&pubs[npub + j], &pubs[npub + j - 1], &base, NULL);
+        }
+        if (i < rings - 1) {
+            secp256k1_gej_double_var(&base, &base, NULL);
+            secp256k1_gej_double_var(&base, &base, NULL);
+        }
+        npub += rsizes[i];
+    }
+}
+
+SECP256K1_INLINE static void secp256k1_rangeproof_serialize_point(unsigned char* data, const secp256k1_ge *point) {
+    secp256k1_fe pointx;
+    pointx = point->x;
+    secp256k1_fe_normalize(&pointx);
+    data[0] = !secp256k1_fe_is_quad_var(&point->y);
+    secp256k1_fe_get_b32(data + 1, &pointx);
+}
+
+SECP256K1_INLINE static int secp256k1_rangeproof_genrand(secp256k1_scalar *sec, secp256k1_scalar *s, unsigned char *message,
+ size_t *rsizes, size_t rings, const unsigned char *nonce, const secp256k1_ge *commit, const unsigned char *proof, size_t len, const secp256k1_ge* genp) {
+    unsigned char tmp[32];
+    unsigned char rngseed[32 + 33 + 33 + 10];
+    secp256k1_rfc6979_hmac_sha256 rng;
+    secp256k1_scalar acc;
+    int overflow;
+    int ret;
+    size_t i;
+    size_t j;
+    int b;
+    size_t npub;
+    VERIFY_CHECK(len <= 10);
+    memcpy(rngseed, nonce, 32);
+    secp256k1_rangeproof_serialize_point(rngseed + 32, commit);
+    secp256k1_rangeproof_serialize_point(rngseed + 32 + 33, genp);
+    memcpy(rngseed + 33 + 33 + 32, proof, len);
+    secp256k1_rfc6979_hmac_sha256_initialize(&rng, rngseed, 32 + 33 + 33 + len);
+    secp256k1_scalar_clear(&acc);
+    npub = 0;
+    ret = 1;
+    for (i = 0; i < rings; i++) {
+        if (i < rings - 1) {
+            secp256k1_rfc6979_hmac_sha256_generate(&rng, tmp, 32);
+            do {
+                secp256k1_rfc6979_hmac_sha256_generate(&rng, tmp, 32);
+                secp256k1_scalar_set_b32(&sec[i], tmp, &overflow);
+            } while (overflow || secp256k1_scalar_is_zero(&sec[i]));
+            secp256k1_scalar_add(&acc, &acc, &sec[i]);
+        } else {
+            secp256k1_scalar_negate(&acc, &acc);
+            sec[i] = acc;
+        }
+        for (j = 0; j < rsizes[i]; j++) {
+            secp256k1_rfc6979_hmac_sha256_generate(&rng, tmp, 32);
+            if (message) {
+                for (b = 0; b < 32; b++) {
+                    tmp[b] ^= message[(i * 4 + j) * 32 + b];
+                    message[(i * 4 + j) * 32 + b] = tmp[b];
+                }
+            }
+            secp256k1_scalar_set_b32(&s[npub], tmp, &overflow);
+            ret &= !(overflow || secp256k1_scalar_is_zero(&s[npub]));
+            npub++;
+        }
+    }
+    secp256k1_rfc6979_hmac_sha256_finalize(&rng);
+    secp256k1_scalar_clear(&acc);
+    memset(tmp, 0, 32);
+    return ret;
+}
+
+SECP256K1_INLINE static int secp256k1_range_proveparams(uint64_t *v, size_t *rings, size_t *rsizes, size_t *npub, size_t *secidx, uint64_t *min_value,
+ int *mantissa, uint64_t *scale,  int *exp, int *min_bits, uint64_t value) {
+    size_t i;
+    *rings = 1;
+    rsizes[0] = 1;
+    secidx[0] = 0;
+    *scale = 1;
+    *mantissa = 0;
+    *npub = 0;
+    if (*min_value == UINT64_MAX) {
+        /* If the minimum value is the maximal representable value, then we cannot code a range. */
+        *exp = -1;
+    }
+    if (*exp >= 0) {
+        int max_bits;
+        uint64_t v2;
+        if ((*min_value && value > INT64_MAX) || (value && *min_value >= INT64_MAX)) {
+            /* If either value or min_value is >= 2^63-1 then the other must by zero to avoid overflowing the proven range. */
+            return 0;
+        }
+        max_bits = *min_value ? secp256k1_clz64_var(*min_value) : 64;
+        if (*min_bits > max_bits) {
+            *min_bits = max_bits;
+        }
+        if (*min_bits > 61 || value > INT64_MAX) {
+            /** Ten is not a power of two, so dividing by ten and then representing in base-2 times ten
+             *   expands the representable range. The verifier requires the proven range is within 0..2**64.
+             *   For very large numbers (all over 2**63) we must change our exponent to compensate.
+             *  Rather than handling it precisely, this just disables use of the exponent for big values.
+             */
+            *exp = 0;
+        }
+        /* Mask off the least significant digits, as requested. */
+        *v = value - *min_value;
+        /* If the user has asked for more bits of proof then there is room for in the exponent, reduce the exponent. */
+        v2 = *min_bits ? (UINT64_MAX>>(64-*min_bits)) : 0;
+        for (i = 0; (int) i < *exp && (v2 <= UINT64_MAX / 10); i++) {
+            *v /= 10;
+            v2 *= 10;
+        }
+        *exp = i;
+        v2 = *v;
+        for (i = 0; (int) i < *exp; i++) {
+            v2 *= 10;
+            *scale *= 10;
+        }
+        /* If the masked number isn't precise, compute the public offset. */
+        *min_value = value - v2;
+        /* How many bits do we need to represent our value? */
+        *mantissa = *v ? 64 - secp256k1_clz64_var(*v) : 1;
+        if (*min_bits > *mantissa) {
+            /* If the user asked for more precision, give it to them. */
+            *mantissa = *min_bits;
+        }
+        /* Digits in radix-4, except for the last digit if our mantissa length is odd. */
+        *rings = (*mantissa + 1) >> 1;
+        for (i = 0; i < *rings; i++) {
+            rsizes[i] = ((i < *rings - 1) | (!(*mantissa&1))) ? 4 : 2;
+            *npub += rsizes[i];
+            secidx[i] = (*v >> (i*2)) & 3;
+        }
+        VERIFY_CHECK(*mantissa>0);
+        VERIFY_CHECK((*v & ~(UINT64_MAX>>(64-*mantissa))) == 0); /* Did this get all the bits? */
+    } else {
+        /* A proof for an exact value. */
+        *exp = 0;
+        *min_value = value;
+        *v = 0;
+        *npub = 2;
+    }
+    VERIFY_CHECK(*v * *scale + *min_value == value);
+    VERIFY_CHECK(*rings > 0);
+    VERIFY_CHECK(*rings <= 32);
+    VERIFY_CHECK(*npub <= 128);
+    return 1;
+}
+
+/* strawman interface, writes proof in proof, a buffer of plen, proves with respect to min_value the range for commit which has the provided blinding factor and value. */
+SECP256K1_INLINE static int secp256k1_rangeproof_sign_impl(const secp256k1_ecmult_context* ecmult_ctx,
+ const secp256k1_ecmult_gen_context* ecmult_gen_ctx,
+ unsigned char *proof, size_t *plen, uint64_t min_value,
+ const secp256k1_ge *commit, const unsigned char *blind, const unsigned char *nonce, int exp, int min_bits, uint64_t value,
+ const unsigned char *message, size_t msg_len, const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_ge* genp){
+    secp256k1_gej pubs[128];     /* Candidate digits for our proof, most inferred. */
+    secp256k1_scalar s[128];     /* Signatures in our proof, most forged. */
+    secp256k1_scalar sec[32];    /* Blinding factors for the correct digits. */
+    secp256k1_scalar k[32];      /* Nonces for our non-forged signatures. */
+    secp256k1_scalar stmp;
+    secp256k1_sha256 sha256_m;
+    unsigned char prep[4096];
+    unsigned char tmp[33];
+    unsigned char *signs;          /* Location of sign flags in the proof. */
+    uint64_t v;
+    uint64_t scale;                /* scale = 10^exp. */
+    int mantissa;                  /* Number of bits proven in the blinded value. */
+    size_t rings;                     /* How many digits will our proof cover. */
+    size_t rsizes[32];                /* How many possible values there are for each place. */
+    size_t secidx[32];                /* Which digit is the correct one. */
+    size_t len;                       /* Number of bytes used so far. */
+    size_t i;
+    int overflow;
+    size_t npub;
+    len = 0;
+    if (*plen < 65 || min_value > value || min_bits > 64 || min_bits < 0 || exp < -1 || exp > 18) {
+        return 0;
+    }
+    if (!secp256k1_range_proveparams(&v, &rings, rsizes, &npub, secidx, &min_value, &mantissa, &scale, &exp, &min_bits, value)) {
+        return 0;
+    }
+    proof[len] = (rsizes[0] > 1 ? (64 | exp) : 0) | (min_value ? 32 : 0);
+    len++;
+    if (rsizes[0] > 1) {
+        VERIFY_CHECK(mantissa > 0 && mantissa <= 64);
+        proof[len] = mantissa - 1;
+        len++;
+    }
+    if (min_value) {
+        for (i = 0; i < 8; i++) {
+            proof[len + i] = (min_value >> ((7-i) * 8)) & 255;
+        }
+        len += 8;
+    }
+    /* Do we have enough room in the proof for the message? Each ring gives us 128 bytes, but the
+     * final ring is used to encode the blinding factor and the value, so we can't use that. (Well,
+     * technically there are 64 bytes available if we avoided the other data, but this is difficult
+     * because it's not always in the same place. */
+    if (msg_len > 0 && msg_len > 128 * (rings - 1)) {
+        return 0;
+    }
+    /* Do we have enough room for the proof? */
+    if (*plen - len < 32 * (npub + rings - 1) + 32 + ((rings+6) >> 3)) {
+        return 0;
+    }
+    secp256k1_sha256_initialize(&sha256_m);
+    secp256k1_rangeproof_serialize_point(tmp, commit);
+    secp256k1_sha256_write(&sha256_m, tmp, 33);
+    secp256k1_rangeproof_serialize_point(tmp, genp);
+    secp256k1_sha256_write(&sha256_m, tmp, 33);
+    secp256k1_sha256_write(&sha256_m, proof, len);
+
+    memset(prep, 0, 4096);
+    if (message != NULL) {
+        memcpy(prep, message, msg_len);
+    }
+    /* Note, the data corresponding to the blinding factors must be zero. */
+    if (rsizes[rings - 1] > 1) {
+        size_t idx;
+        /* Value encoding sidechannel. */
+        idx = rsizes[rings - 1] - 1;
+        idx -= secidx[rings - 1] == idx;
+        idx = ((rings - 1) * 4 + idx) * 32;
+        for (i = 0; i < 8; i++) {
+            prep[8 + i + idx] = prep[16 + i + idx] = prep[24 + i + idx] = (v >> (56 - i * 8)) & 255;
+            prep[i + idx] = 0;
+        }
+        prep[idx] = 128;
+    }
+    if (!secp256k1_rangeproof_genrand(sec, s, prep, rsizes, rings, nonce, commit, proof, len, genp)) {
+        return 0;
+    }
+    memset(prep, 0, 4096);
+    for (i = 0; i < rings; i++) {
+        /* Sign will overwrite the non-forged signature, move that random value into the nonce. */
+        k[i] = s[i * 4 + secidx[i]];
+        secp256k1_scalar_clear(&s[i * 4 + secidx[i]]);
+    }
+    /** Genrand returns the last blinding factor as -sum(rest),
+     *   adding in the blinding factor for our commitment, results in the blinding factor for
+     *   the commitment to the last digit that the verifier can compute for itself by subtracting
+     *   all the digits in the proof from the commitment. This lets the prover skip sending the
+     *   blinded value for one digit.
+     */
+    secp256k1_scalar_set_b32(&stmp, blind, &overflow);
+    secp256k1_scalar_add(&sec[rings - 1], &sec[rings - 1], &stmp);
+    if (overflow || secp256k1_scalar_is_zero(&sec[rings - 1])) {
+        return 0;
+    }
+    signs = &proof[len];
+    /* We need one sign bit for each blinded value we send. */
+    for (i = 0; i < (rings + 6) >> 3; i++) {
+        signs[i] = 0;
+        len++;
+    }
+    npub = 0;
+    for (i = 0; i < rings; i++) {
+        /*OPT: Use the precomputed gen2 basis?*/
+        secp256k1_pedersen_ecmult(ecmult_gen_ctx, &pubs[npub], &sec[i], ((uint64_t)secidx[i] * scale) << (i*2), genp);
+        if (secp256k1_gej_is_infinity(&pubs[npub])) {
+            return 0;
+        }
+        if (i < rings - 1) {
+            unsigned char tmpc[33];
+            secp256k1_ge c;
+            unsigned char quadness;
+            /*OPT: split loop and batch invert.*/
+            /*OPT: do not compute full pubs[npub] in ge form; we only need x */
+            secp256k1_ge_set_gej_var(&c, &pubs[npub]);
+            secp256k1_rangeproof_serialize_point(tmpc, &c);
+            quadness = tmpc[0];
+            secp256k1_sha256_write(&sha256_m, tmpc, 33);
+            signs[i>>3] |= quadness << (i&7);
+            memcpy(&proof[len], tmpc + 1, 32);
+            len += 32;
+        }
+        npub += rsizes[i];
+    }
+    secp256k1_rangeproof_pub_expand(pubs, exp, rsizes, rings, genp);
+    if (extra_commit != NULL) {
+        secp256k1_sha256_write(&sha256_m, extra_commit, extra_commit_len);
+    }
+    secp256k1_sha256_finalize(&sha256_m, tmp);
+    if (!secp256k1_borromean_sign(ecmult_ctx, ecmult_gen_ctx, &proof[len], s, pubs, k, sec, rsizes, secidx, rings, tmp, 32)) {
+        return 0;
+    }
+    len += 32;
+    for (i = 0; i < npub; i++) {
+        secp256k1_scalar_get_b32(&proof[len],&s[i]);
+        len += 32;
+    }
+    VERIFY_CHECK(len <= *plen);
+    *plen = len;
+    memset(prep, 0, 4096);
+    return 1;
+}
+
+/* Computes blinding factor x given k, s, and the challenge e. */
+SECP256K1_INLINE static void secp256k1_rangeproof_recover_x(secp256k1_scalar *x, const secp256k1_scalar *k, const secp256k1_scalar *e,
+ const secp256k1_scalar *s) {
+    secp256k1_scalar stmp;
+    secp256k1_scalar_negate(x, s);
+    secp256k1_scalar_add(x, x, k);
+    secp256k1_scalar_inverse(&stmp, e);
+    secp256k1_scalar_mul(x, x, &stmp);
+}
+
+/* Computes ring's nonce given the blinding factor x, the challenge e, and the signature s. */
+SECP256K1_INLINE static void secp256k1_rangeproof_recover_k(secp256k1_scalar *k, const secp256k1_scalar *x, const secp256k1_scalar *e,
+ const secp256k1_scalar *s) {
+    secp256k1_scalar stmp;
+    secp256k1_scalar_mul(&stmp, x, e);
+    secp256k1_scalar_add(k, s, &stmp);
+}
+
+SECP256K1_INLINE static void secp256k1_rangeproof_ch32xor(unsigned char *x, const unsigned char *y) {
+    int i;
+    for (i = 0; i < 32; i++) {
+        x[i] ^= y[i];
+    }
+}
+
+SECP256K1_INLINE static int secp256k1_rangeproof_rewind_inner(secp256k1_scalar *blind, uint64_t *v,
+ unsigned char *m, size_t *mlen, secp256k1_scalar *ev, secp256k1_scalar *s,
+ size_t *rsizes, size_t rings, const unsigned char *nonce, const secp256k1_ge *commit, const unsigned char *proof, size_t len, const secp256k1_ge *genp) {
+    secp256k1_scalar s_orig[128];
+    secp256k1_scalar sec[32];
+    secp256k1_scalar stmp;
+    unsigned char prep[4096];
+    unsigned char tmp[32];
+    uint64_t value;
+    size_t offset;
+    size_t i;
+    size_t j;
+    int b;
+    size_t skip1;
+    size_t skip2;
+    size_t npub;
+    npub = ((rings - 1) << 2) + rsizes[rings-1];
+    VERIFY_CHECK(npub <= 128);
+    VERIFY_CHECK(npub >= 1);
+    memset(prep, 0, 4096);
+    /* Reconstruct the provers random values. */
+    secp256k1_rangeproof_genrand(sec, s_orig, prep, rsizes, rings, nonce, commit, proof, len, genp);
+    *v = UINT64_MAX;
+    secp256k1_scalar_clear(blind);
+    if (rings == 1 && rsizes[0] == 1) {
+        /* With only a single proof, we can only recover the blinding factor. */
+        secp256k1_rangeproof_recover_x(blind, &s_orig[0], &ev[0], &s[0]);
+        if (v) {
+            *v = 0;
+        }
+        if (mlen) {
+            *mlen = 0;
+        }
+        return 1;
+    }
+    npub = (rings - 1) << 2;
+    for (j = 0; j < 2; j++) {
+        size_t idx;
+        /* Look for a value encoding in the last ring. */
+        idx = npub + rsizes[rings - 1] - 1 - j;
+        secp256k1_scalar_get_b32(tmp, &s[idx]);
+        secp256k1_rangeproof_ch32xor(tmp, &prep[idx * 32]);
+        if ((tmp[0] & 128) && (memcmp(&tmp[16], &tmp[24], 8) == 0) && (memcmp(&tmp[8], &tmp[16], 8) == 0)) {
+            value = 0;
+            for (i = 0; i < 8; i++) {
+                value = (value << 8) + tmp[24 + i];
+            }
+            if (v) {
+                *v = value;
+            }
+            memcpy(&prep[idx * 32], tmp, 32);
+            break;
+        }
+    }
+    if (j > 1) {
+        /* Couldn't extract a value. */
+        if (mlen) {
+            *mlen = 0;
+        }
+        return 0;
+    }
+    skip1 = rsizes[rings - 1] - 1 - j;
+    skip2 = ((value >> ((rings - 1) << 1)) & 3);
+    if (skip1 == skip2) {
+        /*Value is in wrong position.*/
+        if (mlen) {
+            *mlen = 0;
+        }
+        return 0;
+    }
+    skip1 += (rings - 1) << 2;
+    skip2 += (rings - 1) << 2;
+    /* Like in the rsize[] == 1 case, Having figured out which s is the one which was not forged, we can recover the blinding factor. */
+    secp256k1_rangeproof_recover_x(&stmp, &s_orig[skip2], &ev[skip2], &s[skip2]);
+    secp256k1_scalar_negate(&sec[rings - 1], &sec[rings - 1]);
+    secp256k1_scalar_add(blind, &stmp, &sec[rings - 1]);
+    if (!m || !mlen || *mlen == 0) {
+        if (mlen) {
+            *mlen = 0;
+        }
+        /* FIXME: cleanup in early out/failure cases. */
+        return 1;
+    }
+    offset = 0;
+    npub = 0;
+    for (i = 0; i < rings; i++) {
+        size_t idx;
+        idx = (value >> (i << 1)) & 3;
+        for (j = 0; j < rsizes[i]; j++) {
+            if (npub == skip1 || npub == skip2) {
+                npub++;
+                continue;
+            }
+            if (idx == j) {
+                /** For the non-forged signatures the signature is calculated instead of random, instead we recover the prover's nonces.
+                 *  this could just as well recover the blinding factors and messages could be put there as is done for recovering the
+                 *  blinding factor in the last ring, but it takes an inversion to recover x so it's faster to put the message data in k.
+                 */
+                secp256k1_rangeproof_recover_k(&stmp, &sec[i], &ev[npub], &s[npub]);
+            } else {
+                stmp = s[npub];
+            }
+            secp256k1_scalar_get_b32(tmp, &stmp);
+            secp256k1_rangeproof_ch32xor(tmp, &prep[npub * 32]);
+            for (b = 0; b < 32 && offset < *mlen; b++) {
+                m[offset] = tmp[b];
+                offset++;
+            }
+            npub++;
+        }
+    }
+    *mlen = offset;
+    memset(prep, 0, 4096);
+    for (i = 0; i < 128; i++) {
+        secp256k1_scalar_clear(&s_orig[i]);
+    }
+    for (i = 0; i < 32; i++) {
+        secp256k1_scalar_clear(&sec[i]);
+    }
+    secp256k1_scalar_clear(&stmp);
+    return 1;
+}
+
+SECP256K1_INLINE static int secp256k1_rangeproof_getheader_impl(size_t *offset, int *exp, int *mantissa, uint64_t *scale,
+ uint64_t *min_value, uint64_t *max_value, const unsigned char *proof, size_t plen) {
+    int i;
+    int has_nz_range;
+    int has_min;
+    if (plen < 65 || ((proof[*offset] & 128) != 0)) {
+        return 0;
+    }
+    has_nz_range = proof[*offset] & 64;
+    has_min = proof[*offset] & 32;
+    *exp = -1;
+    *mantissa = 0;
+    if (has_nz_range) {
+        *exp = proof[*offset] & 31;
+        *offset += 1;
+        if (*exp > 18) {
+           return 0;
+        }
+        *mantissa = proof[*offset] + 1;
+        if (*mantissa > 64) {
+            return 0;
+         }
+        *max_value = UINT64_MAX>>(64-*mantissa);
+    } else {
+        *max_value = 0;
+    }
+    *offset += 1;
+    *scale = 1;
+    for (i = 0; i < *exp; i++) {
+        if (*max_value > UINT64_MAX / 10) {
+            return 0;
+        }
+        *max_value *= 10;
+        *scale *= 10;
+    }
+    *min_value = 0;
+    if (has_min) {
+        if(plen - *offset < 8) {
+            return 0;
+        }
+        /*FIXME: Compact minvalue encoding?*/
+        for (i = 0; i < 8; i++) {
+            *min_value = (*min_value << 8) | proof[*offset + i];
+        }
+        *offset += 8;
+    }
+    if (*max_value > UINT64_MAX - *min_value) {
+        return 0;
+    }
+    *max_value += *min_value;
+    return 1;
+}
+
+/* Verifies range proof (len plen) for commit, the min/max values proven are put in the min/max arguments; returns 0 on failure 1 on success.*/
+SECP256K1_INLINE static int secp256k1_rangeproof_verify_impl(const secp256k1_ecmult_context* ecmult_ctx,
+ const secp256k1_ecmult_gen_context* ecmult_gen_ctx,
+ unsigned char *blindout, uint64_t *value_out, unsigned char *message_out, size_t *outlen, const unsigned char *nonce,
+ uint64_t *min_value, uint64_t *max_value, const secp256k1_ge *commit, const unsigned char *proof, size_t plen, const unsigned char *extra_commit, size_t extra_commit_len, const secp256k1_ge* genp) {
+    secp256k1_gej accj;
+    secp256k1_gej pubs[128];
+    secp256k1_ge c;
+    secp256k1_scalar s[128];
+    secp256k1_scalar evalues[128]; /* Challenges, only used during proof rewind. */
+    secp256k1_sha256 sha256_m;
+    size_t rsizes[32];
+    int ret;
+    size_t i;
+    int exp;
+    int mantissa;
+    size_t offset;
+    size_t rings;
+    int overflow;
+    size_t npub;
+    int offset_post_header;
+    uint64_t scale;
+    unsigned char signs[31];
+    unsigned char m[33];
+    const unsigned char *e0;
+    offset = 0;
+    if (!secp256k1_rangeproof_getheader_impl(&offset, &exp, &mantissa, &scale, min_value, max_value, proof, plen)) {
+        return 0;
+    }
+    offset_post_header = offset;
+    rings = 1;
+    rsizes[0] = 1;
+    npub = 1;
+    if (mantissa != 0) {
+        rings = (mantissa >> 1);
+        for (i = 0; i < rings; i++) {
+            rsizes[i] = 4;
+        }
+        npub = (mantissa >> 1) << 2;
+        if (mantissa & 1) {
+            rsizes[rings] = 2;
+            npub += rsizes[rings];
+            rings++;
+        }
+    }
+    VERIFY_CHECK(rings <= 32);
+    if (plen - offset < 32 * (npub + rings - 1) + 32 + ((rings+6) >> 3)) {
+        return 0;
+    }
+    secp256k1_sha256_initialize(&sha256_m);
+    secp256k1_rangeproof_serialize_point(m, commit);
+    secp256k1_sha256_write(&sha256_m, m, 33);
+    secp256k1_rangeproof_serialize_point(m, genp);
+    secp256k1_sha256_write(&sha256_m, m, 33);
+    secp256k1_sha256_write(&sha256_m, proof, offset);
+    for(i = 0; i < rings - 1; i++) {
+        signs[i] = (proof[offset + ( i>> 3)] & (1 << (i & 7))) != 0;
+    }
+    offset += (rings + 6) >> 3;
+    if ((rings - 1) & 7) {
+        /* Number of coded blinded points is not a multiple of 8, force extra sign bits to 0 to reject mutation. */
+        if ((proof[offset - 1] >> ((rings - 1) & 7)) != 0) {
+            return 0;
+        }
+    }
+    npub = 0;
+    secp256k1_gej_set_infinity(&accj);
+    if (*min_value) {
+        secp256k1_pedersen_ecmult_small(&accj, *min_value, genp);
+    }
+    for(i = 0; i < rings - 1; i++) {
+        secp256k1_fe fe;
+        if (!secp256k1_fe_set_b32(&fe, &proof[offset]) ||
+            !secp256k1_ge_set_xquad(&c, &fe)) {
+            return 0;
+        }
+        if (signs[i]) {
+            secp256k1_ge_neg(&c, &c);
+        }
+        /* Not using secp256k1_rangeproof_serialize_point as we almost have it
+         * serialized form already. */
+        secp256k1_sha256_write(&sha256_m, &signs[i], 1);
+        secp256k1_sha256_write(&sha256_m, &proof[offset], 32);
+        secp256k1_gej_set_ge(&pubs[npub], &c);
+        secp256k1_gej_add_ge_var(&accj, &accj, &c, NULL);
+        offset += 32;
+        npub += rsizes[i];
+    }
+    secp256k1_gej_neg(&accj, &accj);
+    secp256k1_gej_add_ge_var(&pubs[npub], &accj, commit, NULL);
+    if (secp256k1_gej_is_infinity(&pubs[npub])) {
+        return 0;
+    }
+    secp256k1_rangeproof_pub_expand(pubs, exp, rsizes, rings, genp);
+    npub += rsizes[rings - 1];
+    e0 = &proof[offset];
+    offset += 32;
+    for (i = 0; i < npub; i++) {
+        secp256k1_scalar_set_b32(&s[i], &proof[offset], &overflow);
+        if (overflow) {
+            return 0;
+        }
+        offset += 32;
+    }
+    if (offset != plen) {
+        /*Extra data found, reject.*/
+        return 0;
+    }
+    if (extra_commit != NULL) {
+        secp256k1_sha256_write(&sha256_m, extra_commit, extra_commit_len);
+    }
+    secp256k1_sha256_finalize(&sha256_m, m);
+    ret = secp256k1_borromean_verify(ecmult_ctx, nonce ? evalues : NULL, e0, s, pubs, rsizes, rings, m, 32);
+    if (ret && nonce) {
+        /* Given the nonce, try rewinding the witness to recover its initial state. */
+        secp256k1_scalar blind;
+        uint64_t vv;
+        if (!ecmult_gen_ctx) {
+            return 0;
+        }
+        if (!secp256k1_rangeproof_rewind_inner(&blind, &vv, message_out, outlen, evalues, s, rsizes, rings, nonce, commit, proof, offset_post_header, genp)) {
+            return 0;
+        }
+        /* Unwind apparently successful, see if the commitment can be reconstructed. */
+        /* FIXME: should check vv is in the mantissa's range. */
+        vv = (vv * scale) + *min_value;
+        secp256k1_pedersen_ecmult(ecmult_gen_ctx, &accj, &blind, vv, genp);
+        if (secp256k1_gej_is_infinity(&accj)) {
+            return 0;
+        }
+        secp256k1_gej_neg(&accj, &accj);
+        secp256k1_gej_add_ge_var(&accj, &accj, commit, NULL);
+        if (!secp256k1_gej_is_infinity(&accj)) {
+            return 0;
+        }
+        if (blindout) {
+            secp256k1_scalar_get_b32(blindout, &blind);
+        }
+        if (value_out) {
+            *value_out = vv;
+        }
+    }
+    return ret;
+}
+
+#endif

src/secp256k1/src/modules/rangeproof/tests_impl.h

@@ -0,0 +1,709 @@
+/**********************************************************************
+ * Copyright (c) 2015 Gregory Maxwell                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_RANGEPROOF_TESTS
+#define SECP256K1_MODULE_RANGEPROOF_TESTS
+
+#include <string.h>
+
+#include "group.h"
+#include "scalar.h"
+#include "testrand.h"
+#include "util.h"
+
+#include "include/secp256k1_rangeproof.h"
+
+static void test_pedersen_api(const secp256k1_context *none, const secp256k1_context *sign, const secp256k1_context *vrfy, const int32_t *ecount) {
+    secp256k1_pedersen_commitment commit;
+    const secp256k1_pedersen_commitment *commit_ptr = &commit;
+    unsigned char blind[32];
+    unsigned char blind_out[32];
+    const unsigned char *blind_ptr = blind;
+    unsigned char *blind_out_ptr = blind_out;
+    uint64_t val = secp256k1_rand32();
+
+    secp256k1_rand256(blind);
+    CHECK(secp256k1_pedersen_commit(none, &commit, blind, val, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 1);
+    CHECK(secp256k1_pedersen_commit(vrfy, &commit, blind, val, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 2);
+    CHECK(secp256k1_pedersen_commit(sign, &commit, blind, val, secp256k1_generator_h) != 0);
+    CHECK(*ecount == 2);
+
+    CHECK(secp256k1_pedersen_commit(sign, NULL, blind, val, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 3);
+    CHECK(secp256k1_pedersen_commit(sign, &commit, NULL, val, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 4);
+    CHECK(secp256k1_pedersen_commit(sign, &commit, blind, val, NULL) == 0);
+    CHECK(*ecount == 5);
+
+    CHECK(secp256k1_pedersen_blind_sum(none, blind_out, &blind_ptr, 1, 1) != 0);
+    CHECK(*ecount == 5);
+    CHECK(secp256k1_pedersen_blind_sum(none, NULL, &blind_ptr, 1, 1) == 0);
+    CHECK(*ecount == 6);
+    CHECK(secp256k1_pedersen_blind_sum(none, blind_out, NULL, 1, 1) == 0);
+    CHECK(*ecount == 7);
+    CHECK(secp256k1_pedersen_blind_sum(none, blind_out, &blind_ptr, 0, 1) == 0);
+    CHECK(*ecount == 8);
+    CHECK(secp256k1_pedersen_blind_sum(none, blind_out, &blind_ptr, 0, 0) != 0);
+    CHECK(*ecount == 8);
+
+    CHECK(secp256k1_pedersen_commit(sign, &commit, blind, val, secp256k1_generator_h) != 0);
+    CHECK(secp256k1_pedersen_verify_tally(none, &commit_ptr, 1, &commit_ptr, 1) != 0);
+    CHECK(secp256k1_pedersen_verify_tally(none, NULL, 0, &commit_ptr, 1) == 0);
+    CHECK(secp256k1_pedersen_verify_tally(none, &commit_ptr, 1, NULL, 0) == 0);
+    CHECK(secp256k1_pedersen_verify_tally(none, NULL, 0, NULL, 0) != 0);
+    CHECK(*ecount == 8);
+    CHECK(secp256k1_pedersen_verify_tally(none, NULL, 1, &commit_ptr, 1) == 0);
+    CHECK(*ecount == 9);
+    CHECK(secp256k1_pedersen_verify_tally(none, &commit_ptr, 1, NULL, 1) == 0);
+    CHECK(*ecount == 10);
+
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, &val, &blind_ptr, &blind_out_ptr, 1, 0) != 0);
+    CHECK(*ecount == 10);
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, &val, &blind_ptr, &blind_out_ptr, 1, 1) == 0);
+    CHECK(*ecount == 11);
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, &val, &blind_ptr, &blind_out_ptr, 0, 0) == 0);
+    CHECK(*ecount == 12);
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, NULL, &blind_ptr, &blind_out_ptr, 1, 0) == 0);
+    CHECK(*ecount == 13);
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, &val, NULL, &blind_out_ptr, 1, 0) == 0);
+    CHECK(*ecount == 14);
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(none, &val, &blind_ptr, NULL, 1, 0) == 0);
+    CHECK(*ecount == 15);
+}
+
+static void test_rangeproof_api(const secp256k1_context *none, const secp256k1_context *sign, const secp256k1_context *vrfy, const secp256k1_context *both, const int32_t *ecount) {
+    unsigned char proof[5134];
+    unsigned char blind[32];
+    secp256k1_pedersen_commitment commit;
+    uint64_t vmin = secp256k1_rand32();
+    uint64_t val = vmin + secp256k1_rand32();
+    size_t len = sizeof(proof);
+    /* we'll switch to dylan thomas for this one */
+    const unsigned char message[68] = "My tears are like the quiet drift / Of petals from some magic rose;";
+    size_t mlen = sizeof(message);
+    const unsigned char ext_commit[72] = "And all my grief flows from the rift / Of unremembered skies and snows.";
+    size_t ext_commit_len = sizeof(ext_commit);
+
+    secp256k1_rand256(blind);
+    CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, val, secp256k1_generator_h));
+
+    CHECK(secp256k1_rangeproof_sign(none, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 1);
+    CHECK(secp256k1_rangeproof_sign(sign, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 2);
+    CHECK(secp256k1_rangeproof_sign(vrfy, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 3);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+    CHECK(*ecount == 3);
+
+    CHECK(secp256k1_rangeproof_sign(both, NULL, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 4);
+    CHECK(secp256k1_rangeproof_sign(both, proof, NULL, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 5);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, NULL, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 6);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, NULL, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 7);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, NULL, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 8);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, vmin - 1, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 8);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, NULL, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 9);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, NULL, 0, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+    CHECK(*ecount == 9);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, NULL, 0, NULL, ext_commit_len, secp256k1_generator_h) == 0);
+    CHECK(*ecount == 10);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, NULL, 0, NULL, 0, secp256k1_generator_h) != 0);
+    CHECK(*ecount == 10);
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, NULL, 0, NULL, 0, NULL) == 0);
+    CHECK(*ecount == 11);
+
+    CHECK(secp256k1_rangeproof_sign(both, proof, &len, vmin, &commit, blind, commit.data, 0, 0, val, message, mlen, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+    {
+        int exp;
+        int mantissa;
+        uint64_t min_value;
+        uint64_t max_value;
+        CHECK(secp256k1_rangeproof_info(none, &exp, &mantissa, &min_value, &max_value, proof, len) != 0);
+        CHECK(exp == 0);
+        CHECK(((uint64_t) 1 << mantissa) > val - vmin);
+        CHECK(((uint64_t) 1 << (mantissa - 1)) <= val - vmin);
+        CHECK(min_value == vmin);
+        CHECK(max_value >= val);
+
+        CHECK(secp256k1_rangeproof_info(none, NULL, &mantissa, &min_value, &max_value, proof, len) == 0);
+        CHECK(*ecount == 12);
+        CHECK(secp256k1_rangeproof_info(none, &exp, NULL, &min_value, &max_value, proof, len) == 0);
+        CHECK(*ecount == 13);
+        CHECK(secp256k1_rangeproof_info(none, &exp, &mantissa, NULL, &max_value, proof, len) == 0);
+        CHECK(*ecount == 14);
+        CHECK(secp256k1_rangeproof_info(none, &exp, &mantissa, &min_value, NULL, proof, len) == 0);
+        CHECK(*ecount == 15);
+        CHECK(secp256k1_rangeproof_info(none, &exp, &mantissa, &min_value, &max_value, NULL, len) == 0);
+        CHECK(*ecount == 16);
+        CHECK(secp256k1_rangeproof_info(none, &exp, &mantissa, &min_value, &max_value, proof, 0) == 0);
+        CHECK(*ecount == 16);
+    }
+    {
+        uint64_t min_value;
+        uint64_t max_value;
+        CHECK(secp256k1_rangeproof_verify(none, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 17);
+        CHECK(secp256k1_rangeproof_verify(sign, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 18);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+        CHECK(*ecount == 18);
+
+        CHECK(secp256k1_rangeproof_verify(vrfy, NULL, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 19);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, NULL, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 20);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, NULL, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 21);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, NULL, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 22);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, proof, 0, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 22);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, proof, len, NULL, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 23);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, proof, len, NULL, 0, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 23);
+        CHECK(secp256k1_rangeproof_verify(vrfy, &min_value, &max_value, &commit, proof, len, NULL, 0, NULL) == 0);
+        CHECK(*ecount == 24);
+    }
+    {
+        unsigned char blind_out[32];
+        unsigned char message_out[68];
+        uint64_t value_out;
+        uint64_t min_value;
+        uint64_t max_value;
+        size_t message_len = sizeof(message_out);
+
+        CHECK(secp256k1_rangeproof_rewind(none, blind_out, &value_out, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 25);
+        CHECK(secp256k1_rangeproof_rewind(sign, blind_out, &value_out, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 26);
+        CHECK(secp256k1_rangeproof_rewind(vrfy, blind_out, &value_out, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 27);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+        CHECK(*ecount == 27);
+
+        CHECK(min_value == vmin);
+        CHECK(max_value >= val);
+        CHECK(value_out == val);
+        CHECK(message_len == sizeof(message_out));
+        CHECK(memcmp(message, message_out, sizeof(message_out)) == 0);
+
+        CHECK(secp256k1_rangeproof_rewind(both, NULL, &value_out, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+        CHECK(*ecount == 27);  /* blindout may be NULL */
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, NULL, message_out, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+        CHECK(*ecount == 27);  /* valueout may be NULL */
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, &message_len, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 28);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) != 0);
+        CHECK(*ecount == 28);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, NULL, &min_value, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 29);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, NULL, &max_value, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 30);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, NULL, &commit, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 31);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, NULL, proof, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 32);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, NULL, len, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 33);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, 0, ext_commit, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 33);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, len, NULL, ext_commit_len, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 34);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, len, NULL, 0, secp256k1_generator_h) == 0);
+        CHECK(*ecount == 34);
+        CHECK(secp256k1_rangeproof_rewind(both, blind_out, &value_out, NULL, 0, commit.data, &min_value, &max_value, &commit, proof, len, NULL, 0, NULL) == 0);
+        CHECK(*ecount == 35);
+    }
+}
+
+static void test_api(void) {
+    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);
+    int32_t ecount;
+    int i;
+
+    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);
+
+    for (i = 0; i < count; i++) {
+        ecount = 0;
+        test_pedersen_api(none, sign, vrfy, &ecount);
+        ecount = 0;
+        test_rangeproof_api(none, sign, vrfy, both, &ecount);
+    }
+
+    secp256k1_context_destroy(none);
+    secp256k1_context_destroy(sign);
+    secp256k1_context_destroy(vrfy);
+    secp256k1_context_destroy(both);
+}
+
+static void test_pedersen(void) {
+    secp256k1_pedersen_commitment commits[19];
+    const secp256k1_pedersen_commitment *cptr[19];
+    unsigned char blinds[32*19];
+    const unsigned char *bptr[19];
+    secp256k1_scalar s;
+    uint64_t values[19];
+    int64_t totalv;
+    int i;
+    int inputs;
+    int outputs;
+    int total;
+    inputs = (secp256k1_rand32() & 7) + 1;
+    outputs = (secp256k1_rand32() & 7) + 2;
+    total = inputs + outputs;
+    for (i = 0; i < 19; i++) {
+        cptr[i] = &commits[i];
+        bptr[i] = &blinds[i * 32];
+    }
+    totalv = 0;
+    for (i = 0; i < inputs; i++) {
+        values[i] = secp256k1_rands64(0, INT64_MAX - totalv);
+        totalv += values[i];
+    }
+    for (i = 0; i < outputs - 1; i++) {
+        values[i + inputs] = secp256k1_rands64(0, totalv);
+        totalv -= values[i + inputs];
+    }
+    values[total - 1] = totalv;
+
+    for (i = 0; i < total - 1; i++) {
+        random_scalar_order(&s);
+        secp256k1_scalar_get_b32(&blinds[i * 32], &s);
+    }
+    CHECK(secp256k1_pedersen_blind_sum(ctx, &blinds[(total - 1) * 32], bptr, total - 1, inputs));
+    for (i = 0; i < total; i++) {
+        CHECK(secp256k1_pedersen_commit(ctx, &commits[i], &blinds[i * 32], values[i], secp256k1_generator_h));
+    }
+    CHECK(secp256k1_pedersen_verify_tally(ctx, cptr, inputs, &cptr[inputs], outputs));
+    CHECK(secp256k1_pedersen_verify_tally(ctx, &cptr[inputs], outputs, cptr, inputs));
+    if (inputs > 0 && values[0] > 0) {
+        CHECK(!secp256k1_pedersen_verify_tally(ctx, cptr, inputs - 1, &cptr[inputs], outputs));
+    }
+    random_scalar_order(&s);
+    for (i = 0; i < 4; i++) {
+        secp256k1_scalar_get_b32(&blinds[i * 32], &s);
+    }
+    values[0] = INT64_MAX;
+    values[1] = 0;
+    values[2] = 1;
+    for (i = 0; i < 3; i++) {
+        CHECK(secp256k1_pedersen_commit(ctx, &commits[i], &blinds[i * 32], values[i], secp256k1_generator_h));
+    }
+    CHECK(secp256k1_pedersen_verify_tally(ctx, &cptr[0], 1, &cptr[0], 1));
+    CHECK(secp256k1_pedersen_verify_tally(ctx, &cptr[1], 1, &cptr[1], 1));
+}
+
+static void test_borromean(void) {
+    unsigned char e0[32];
+    secp256k1_scalar s[64];
+    secp256k1_gej pubs[64];
+    secp256k1_scalar k[8];
+    secp256k1_scalar sec[8];
+    secp256k1_ge ge;
+    secp256k1_scalar one;
+    unsigned char m[32];
+    size_t rsizes[8];
+    size_t secidx[8];
+    size_t nrings;
+    size_t i;
+    size_t j;
+    int c;
+    secp256k1_rand256_test(m);
+    nrings = 1 + (secp256k1_rand32()&7);
+    c = 0;
+    secp256k1_scalar_set_int(&one, 1);
+    if (secp256k1_rand32()&1) {
+        secp256k1_scalar_negate(&one, &one);
+    }
+    for (i = 0; i < nrings; i++) {
+        rsizes[i] = 1 + (secp256k1_rand32()&7);
+        secidx[i] = secp256k1_rand32() % rsizes[i];
+        random_scalar_order(&sec[i]);
+        random_scalar_order(&k[i]);
+        if(secp256k1_rand32()&7) {
+            sec[i] = one;
+        }
+        if(secp256k1_rand32()&7) {
+            k[i] = one;
+        }
+        for (j = 0; j < rsizes[i]; j++) {
+            random_scalar_order(&s[c + j]);
+            if(secp256k1_rand32()&7) {
+                s[i] = one;
+            }
+            if (j == secidx[i]) {
+                secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubs[c + j], &sec[i]);
+            } else {
+                random_group_element_test(&ge);
+                random_group_element_jacobian_test(&pubs[c + j],&ge);
+            }
+        }
+        c += rsizes[i];
+    }
+    CHECK(secp256k1_borromean_sign(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx, e0, s, pubs, k, sec, rsizes, secidx, nrings, m, 32));
+    CHECK(secp256k1_borromean_verify(&ctx->ecmult_ctx, NULL, e0, s, pubs, rsizes, nrings, m, 32));
+    i = secp256k1_rand32() % c;
+    secp256k1_scalar_negate(&s[i],&s[i]);
+    CHECK(!secp256k1_borromean_verify(&ctx->ecmult_ctx, NULL, e0, s, pubs, rsizes, nrings, m, 32));
+    secp256k1_scalar_negate(&s[i],&s[i]);
+    secp256k1_scalar_set_int(&one, 1);
+    for(j = 0; j < 4; j++) {
+        i = secp256k1_rand32() % c;
+        if (secp256k1_rand32() & 1) {
+            secp256k1_gej_double_var(&pubs[i],&pubs[i], NULL);
+        } else {
+            secp256k1_scalar_add(&s[i],&s[i],&one);
+        }
+        CHECK(!secp256k1_borromean_verify(&ctx->ecmult_ctx, NULL, e0, s, pubs, rsizes, nrings, m, 32));
+    }
+}
+
+static void test_rangeproof(void) {
+    const uint64_t testvs[11] = {0, 1, 5, 11, 65535, 65537, INT32_MAX, UINT32_MAX, INT64_MAX - 1, INT64_MAX, UINT64_MAX};
+    secp256k1_pedersen_commitment commit;
+    secp256k1_pedersen_commitment commit2;
+    unsigned char proof[5134 + 1]; /* One additional byte to test if trailing bytes are rejected */
+    unsigned char blind[32];
+    unsigned char blindout[32];
+    unsigned char message[4096];
+    size_t mlen;
+    uint64_t v;
+    uint64_t vout;
+    uint64_t vmin;
+    uint64_t minv;
+    uint64_t maxv;
+    size_t len;
+    size_t i;
+    size_t j;
+    size_t k;
+    /* Short message is a Simone de Beauvoir quote */
+    const unsigned char message_short[120] = "When I see my own likeness in the depths of someone else's consciousness,  I always experience a moment of panic.";
+    /* Long message is 0xA5 with a bunch of this quote in the middle */
+    unsigned char message_long[3968];
+    memset(message_long, 0xa5, sizeof(message_long));
+    for (i = 1200; i < 3600; i += 120) {
+        memcpy(&message_long[i], message_short, sizeof(message_short));
+    }
+
+    secp256k1_rand256(blind);
+    for (i = 0; i < 11; i++) {
+        v = testvs[i];
+        CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, v, secp256k1_generator_h));
+        for (vmin = 0; vmin < (i<9 && i > 0 ? 2 : 1); vmin++) {
+            const unsigned char *input_message = NULL;
+            size_t input_message_len = 0;
+            /* vmin is always either 0 or 1; if it is 1, then we have no room for a message.
+             * If it's 0, we use "minimum encoding" and only have room for a small message when
+             * `testvs[i]` is >= 4; for a large message when it's >= 2^32. */
+            if (vmin == 0 && i > 2) {
+                input_message = message_short;
+                input_message_len = sizeof(message_short);
+            }
+            if (vmin == 0 && i > 7) {
+                input_message = message_long;
+                input_message_len = sizeof(message_long);
+            }
+            len = 5134;
+            CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, vmin, &commit, blind, commit.data, 0, 0, v, input_message, input_message_len, NULL, 0, secp256k1_generator_h));
+            CHECK(len <= 5134);
+            mlen = 4096;
+            CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, message, &mlen, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+            if (input_message != NULL) {
+                CHECK(memcmp(message, input_message, input_message_len) == 0);
+            }
+            for (j = input_message_len; j < mlen; j++) {
+                CHECK(message[j] == 0);
+            }
+            CHECK(mlen <= 4096);
+            CHECK(memcmp(blindout, blind, 32) == 0);
+            CHECK(vout == v);
+            CHECK(minv <= v);
+            CHECK(maxv >= v);
+            len = 5134;
+            CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, v, &commit, blind, commit.data, -1, 64, v, NULL, 0, NULL, 0, secp256k1_generator_h));
+            CHECK(len <= 73);
+            CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+            CHECK(memcmp(blindout, blind, 32) == 0);
+            CHECK(vout == v);
+            CHECK(minv == v);
+            CHECK(maxv == v);
+
+            /* Check with a committed message */
+            len = 5134;
+            CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, v, &commit, blind, commit.data, -1, 64, v, NULL, 0, message_short, sizeof(message_short), secp256k1_generator_h));
+            CHECK(len <= 73);
+            CHECK(!secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+            CHECK(!secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, message_long, sizeof(message_long), secp256k1_generator_h));
+            CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, message_short, sizeof(message_short), secp256k1_generator_h));
+            CHECK(memcmp(blindout, blind, 32) == 0);
+            CHECK(vout == v);
+            CHECK(minv == v);
+            CHECK(maxv == v);
+        }
+    }
+    secp256k1_rand256(blind);
+    v = INT64_MAX - 1;
+    CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, v, secp256k1_generator_h));
+    for (i = 0; i < 19; i++) {
+        len = 5134;
+        CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, 0, &commit, blind, commit.data, i, 0, v, NULL, 0, NULL, 0, secp256k1_generator_h));
+        CHECK(secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+        CHECK(len <= 5134);
+        CHECK(minv <= v);
+        CHECK(maxv >= v);
+        /* Make sure it fails when validating with a committed message */
+        CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len, message_short, sizeof(message_short), secp256k1_generator_h));
+    }
+    secp256k1_rand256(blind);
+    {
+        /*Malleability test.*/
+        v = secp256k1_rands64(0, 255);
+        CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, v, secp256k1_generator_h));
+        len = 5134;
+        CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, 0, &commit, blind, commit.data, 0, 3, v, NULL, 0, NULL, 0, secp256k1_generator_h));
+        CHECK(len <= 5134);
+        /* Test if trailing bytes are rejected. */
+        proof[len] = v;
+        CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len + 1, NULL, 0, secp256k1_generator_h));
+        for (i = 0; i < len*8; i++) {
+            proof[i >> 3] ^= 1 << (i & 7);
+            CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+            proof[i >> 3] ^= 1 << (i & 7);
+        }
+        CHECK(secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+        CHECK(minv <= v);
+        CHECK(maxv >= v);
+    }
+    memcpy(&commit2, &commit, sizeof(commit));
+    for (i = 0; i < 10 * (size_t) count; i++) {
+        int exp;
+        int min_bits;
+        v = secp256k1_rands64(0, UINT64_MAX >> (secp256k1_rand32()&63));
+        vmin = 0;
+        if ((v < INT64_MAX) && (secp256k1_rand32()&1)) {
+            vmin = secp256k1_rands64(0, v);
+        }
+        secp256k1_rand256(blind);
+        CHECK(secp256k1_pedersen_commit(ctx, &commit, blind, v, secp256k1_generator_h));
+        len = 5134;
+        exp = (int)secp256k1_rands64(0,18)-(int)secp256k1_rands64(0,18);
+        if (exp < 0) {
+            exp = -exp;
+        }
+        min_bits = (int)secp256k1_rands64(0,64)-(int)secp256k1_rands64(0,64);
+        if (min_bits < 0) {
+            min_bits = -min_bits;
+        }
+        CHECK(secp256k1_rangeproof_sign(ctx, proof, &len, vmin, &commit, blind, commit.data, exp, min_bits, v, NULL, 0, NULL, 0, secp256k1_generator_h));
+        CHECK(len <= 5134);
+        mlen = 4096;
+        CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, message, &mlen, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+        for (j = 0; j < mlen; j++) {
+            CHECK(message[j] == 0);
+        }
+        CHECK(mlen <= 4096);
+        CHECK(memcmp(blindout, blind, 32) == 0);
+        CHECK(vout == v);
+        CHECK(minv <= v);
+        CHECK(maxv >= v);
+        CHECK(secp256k1_rangeproof_rewind(ctx, blindout, &vout, NULL, NULL, commit.data, &minv, &maxv, &commit, proof, len, NULL, 0, secp256k1_generator_h));
+        memcpy(&commit2, &commit, sizeof(commit));
+    }
+    for (j = 0; j < 10; j++) {
+        for (i = 0; i < 96; i++) {
+            secp256k1_rand256(&proof[i * 32]);
+        }
+        for (k = 0; k < 128; k++) {
+            len = k;
+            CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit2, proof, len, NULL, 0, secp256k1_generator_h));
+        }
+        len = secp256k1_rands64(0, 3072);
+        CHECK(!secp256k1_rangeproof_verify(ctx, &minv, &maxv, &commit2, proof, len, NULL, 0, secp256k1_generator_h));
+    }
+}
+
+#define MAX_N_GENS	30
+void test_multiple_generators(void) {
+    const size_t n_inputs = (secp256k1_rand32() % (MAX_N_GENS / 2)) + 1;
+    const size_t n_outputs = (secp256k1_rand32() % (MAX_N_GENS / 2)) + 1;
+    const size_t n_generators = n_inputs + n_outputs;
+    unsigned char *generator_blind[MAX_N_GENS];
+    unsigned char *pedersen_blind[MAX_N_GENS];
+    secp256k1_generator generator[MAX_N_GENS];
+    secp256k1_pedersen_commitment commit[MAX_N_GENS];
+    const secp256k1_pedersen_commitment *commit_ptr[MAX_N_GENS];
+    size_t i;
+    int64_t total_value;
+    uint64_t value[MAX_N_GENS];
+
+    secp256k1_scalar s;
+
+    unsigned char generator_seed[32];
+    random_scalar_order(&s);
+    secp256k1_scalar_get_b32(generator_seed, &s);
+    /* Create all the needed generators */
+    for (i = 0; i < n_generators; i++) {
+        generator_blind[i] = (unsigned char*) malloc(32);
+        pedersen_blind[i] = (unsigned char*) malloc(32);
+
+        random_scalar_order(&s);
+        secp256k1_scalar_get_b32(generator_blind[i], &s);
+        random_scalar_order(&s);
+        secp256k1_scalar_get_b32(pedersen_blind[i], &s);
+
+        CHECK(secp256k1_generator_generate_blinded(ctx, &generator[i], generator_seed, generator_blind[i]));
+
+        commit_ptr[i] = &commit[i];
+    }
+
+    /* Compute all the values -- can be positive or negative */
+    total_value = 0;
+    for (i = 0; i < n_outputs; i++) {
+        value[n_inputs + i] = secp256k1_rands64(0, INT64_MAX - total_value);
+        total_value += value[n_inputs + i];
+    }
+    for (i = 0; i < n_inputs - 1; i++) {
+        value[i] = secp256k1_rands64(0, total_value);
+        total_value -= value[i];
+    }
+    value[i] = total_value;
+
+    /* Correct for blinding factors and do the commitments */
+    CHECK(secp256k1_pedersen_blind_generator_blind_sum(ctx, value, (const unsigned char * const *) generator_blind, pedersen_blind, n_generators, n_inputs));
+    for (i = 0; i < n_generators; i++) {
+        CHECK(secp256k1_pedersen_commit(ctx, &commit[i], pedersen_blind[i], value[i], &generator[i]));
+    }
+
+    /* Verify */
+    CHECK(secp256k1_pedersen_verify_tally(ctx, &commit_ptr[0], n_inputs, &commit_ptr[n_inputs], n_outputs));
+
+    /* Cleanup */
+    for (i = 0; i < n_generators; i++) {
+        free(generator_blind[i]);
+        free(pedersen_blind[i]);
+    }
+}
+
+void test_rangeproof_fixed_vectors(void) {
+    const unsigned char vector_1[] = {
+        0x62, 0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x56, 0x02, 0x2a, 0x5c, 0x42, 0x0e, 0x1d,
+        0x51, 0xe1, 0xb7, 0xf3, 0x69, 0x04, 0xb5, 0xbb, 0x9b, 0x41, 0x66, 0x14, 0xf3, 0x64, 0x42, 0x26,
+        0xe3, 0xa7, 0x6a, 0x06, 0xbb, 0xa8, 0x5a, 0x49, 0x6f, 0x19, 0x76, 0xfb, 0xe5, 0x75, 0x77, 0x88,
+        0xab, 0xa9, 0x66, 0x44, 0x80, 0xea, 0x29, 0x95, 0x7f, 0xdf, 0x72, 0x4a, 0xaf, 0x02, 0xbe, 0xdd,
+        0x5d, 0x15, 0xd8, 0xae, 0xff, 0x74, 0xc9, 0x8c, 0x1a, 0x67, 0x0e, 0xb2, 0x57, 0x22, 0x99, 0xc3,
+        0x21, 0x46, 0x6f, 0x15, 0x58, 0x0e, 0xdb, 0xe6, 0x6e, 0xc4, 0x0d, 0xfe, 0x6f, 0x04, 0x6b, 0x0d,
+        0x18, 0x3d, 0x78, 0x40, 0x98, 0x56, 0x4e, 0xe4, 0x4a, 0x74, 0x90, 0xa7, 0xac, 0x9c, 0x16, 0xe0,
+        0x3e, 0x81, 0xaf, 0x0f, 0xe3, 0x4f, 0x34, 0x99, 0x52, 0xf7, 0xa7, 0xf6, 0xd3, 0x83, 0xa0, 0x17,
+        0x4b, 0x2d, 0xa7, 0xd4, 0xfd, 0xf7, 0x84, 0x45, 0xc4, 0x11, 0x71, 0x3d, 0x4a, 0x22, 0x34, 0x09,
+        0x9c, 0xa7, 0xe5, 0xc8, 0xba, 0x04, 0xbf, 0xfd, 0x25, 0x11, 0x7d, 0xa4, 0x43, 0x45, 0xc7, 0x62,
+        0x9e, 0x7b, 0x80, 0xf6, 0x09, 0xbb, 0x1b, 0x2e, 0xf3, 0xcd, 0x23, 0xe0, 0xed, 0x81, 0x43, 0x42,
+        0xbe, 0xc4, 0x9f, 0x58, 0x8a, 0x0d, 0x66, 0x79, 0x09, 0x70, 0x11, 0x68, 0x3d, 0x87, 0x38, 0x1c,
+        0x3c, 0x85, 0x52, 0x5b, 0x62, 0xf7, 0x3e, 0x7e, 0x87, 0xa2, 0x99, 0x24, 0xd0, 0x7d, 0x18, 0x63,
+        0x56, 0x48, 0xa4, 0x3a, 0xfe, 0x65, 0xfa, 0xa4, 0xd0, 0x67, 0xaa, 0x98, 0x65, 0x4d, 0xe4, 0x22,
+        0x75, 0x45, 0x52, 0xe8, 0x41, 0xc7, 0xed, 0x38, 0xeb, 0xf5, 0x02, 0x90, 0xc9, 0x45, 0xa3, 0xb0,
+        0x4d, 0x03, 0xd7, 0xab, 0x43, 0xe4, 0x21, 0xfc, 0x83, 0xd6, 0x12, 0x1d, 0x76, 0xb1, 0x3c, 0x67,
+        0x63, 0x1f, 0x52, 0x9d, 0xc3, 0x23, 0x5c, 0x4e, 0xa6, 0x8d, 0x01, 0x4a, 0xba, 0x9a, 0xf4, 0x16,
+        0x5b, 0x67, 0xc8, 0xe1, 0xd2, 0x42, 0x6d, 0xdf, 0xcd, 0x08, 0x6a, 0x73, 0x41, 0x6a, 0xc2, 0x84,
+        0xc6, 0x31, 0xbe, 0x57, 0xcb, 0x0e, 0xde, 0xbf, 0x71, 0xd5, 0x8a, 0xf7, 0x24, 0xb2, 0xa7, 0x89,
+        0x96, 0x62, 0x4f, 0xd9, 0xf7, 0xc3, 0xde, 0x4c, 0xab, 0x13, 0x72, 0xb4, 0xb3, 0x35, 0x04, 0x82,
+        0xa8, 0x75, 0x1d, 0xde, 0x46, 0xa8, 0x0d, 0xb8, 0x23, 0x44, 0x00, 0x44, 0xfa, 0x53, 0x6c, 0x2d,
+        0xce, 0xd3, 0xa6, 0x80, 0xa1, 0x20, 0xca, 0xd1, 0x63, 0xbb, 0xbe, 0x39, 0x5f, 0x9d, 0x27, 0x69,
+        0xb3, 0x33, 0x1f, 0xdb, 0xda, 0x67, 0x05, 0x37, 0xbe, 0x65, 0xe9, 0x7e, 0xa9, 0xc3, 0xff, 0x37,
+        0x8a, 0xb4, 0x2d, 0xfe, 0xf2, 0x16, 0x85, 0xc7, 0x0f, 0xd9, 0xbe, 0x14, 0xd1, 0x80, 0x14, 0x9f,
+        0x58, 0x56, 0x98, 0x41, 0xf6, 0x26, 0xf7, 0xa2, 0x71, 0x66, 0xb4, 0x7a, 0x9c, 0x12, 0x73, 0xd3,
+        0xdf, 0x77, 0x2b, 0x49, 0xe5, 0xca, 0x50, 0x57, 0x44, 0x6e, 0x3f, 0x58, 0x56, 0xbc, 0x21, 0x70,
+        0x4f, 0xc6, 0xaa, 0x12, 0xff, 0x7c, 0xa7, 0x3d, 0xed, 0x46, 0xc1, 0x40, 0xe6, 0x58, 0x09, 0x2a,
+        0xda, 0xb3, 0x76, 0xab, 0x44, 0xb5, 0x4e, 0xb3, 0x12, 0xe0, 0x26, 0x8a, 0x52, 0xac, 0x49, 0x1d,
+        0xe7, 0x06, 0x53, 0x3a, 0x01, 0x35, 0x21, 0x2e, 0x86, 0x48, 0xc5, 0x75, 0xc1, 0xa2, 0x7d, 0x22,
+        0x53, 0xf6, 0x3f, 0x41, 0xc5, 0xb3, 0x08, 0x7d, 0xa3, 0x67, 0xc0, 0xbb, 0xb6, 0x8d, 0xf0, 0xd3,
+        0x01, 0x72, 0xd3, 0x63, 0x82, 0x01, 0x1a, 0xe7, 0x1d, 0x22, 0xfa, 0x95, 0x33, 0xf6, 0xf2, 0xde,
+        0xa2, 0x53, 0x86, 0x55, 0x5a, 0xb4, 0x2e, 0x75, 0x75, 0xc6, 0xd5, 0x93, 0x9c, 0x57, 0xa9, 0x1f,
+        0xb9, 0x3e, 0xe8, 0x1c, 0xbf, 0xac, 0x1c, 0x54, 0x6f, 0xf5, 0xab, 0x41, 0xee, 0xb3, 0x0e, 0xd0,
+        0x76, 0xc4, 0x1a, 0x45, 0xcd, 0xf1, 0xd6, 0xcc, 0xb0, 0x83, 0x70, 0x73, 0xbc, 0x88, 0x74, 0xa0,
+        0x5b, 0xe7, 0x98, 0x10, 0x36, 0xbf, 0xec, 0x23, 0x1c, 0xc2, 0xb5, 0xba, 0x4b, 0x9d, 0x7f, 0x8c,
+        0x8a, 0xe2, 0xda, 0x18, 0xdd, 0xab, 0x27, 0x8a, 0x15, 0xeb, 0xb0, 0xd4, 0x3a, 0x8b, 0x77, 0x00,
+        0xc7, 0xbb, 0xcc, 0xfa, 0xba, 0xa4, 0x6a, 0x17, 0x5c, 0xf8, 0x51, 0x5d, 0x8d, 0x16, 0xcd, 0xa7,
+        0x0e, 0x71, 0x97, 0x98, 0x78, 0x5a, 0x41, 0xb3, 0xf0, 0x1f, 0x87, 0x2d, 0x65, 0xcd, 0x29, 0x49,
+        0xd2, 0x87, 0x2c, 0x91, 0xa9, 0x5f, 0xcc, 0xa9, 0xd8, 0xbb, 0x53, 0x18, 0xe7, 0xd6, 0xec, 0x65,
+        0xa6, 0x45, 0xf6, 0xce, 0xcf, 0x48, 0xf6, 0x1e, 0x3d, 0xd2, 0xcf, 0xcb, 0x3a, 0xcd, 0xbb, 0x92,
+        0x29, 0x24, 0x16, 0x7f, 0x8a, 0xa8, 0x5c, 0x0c, 0x45, 0x71, 0x33
+    };
+    const unsigned char commit_1[] = {
+        0x08,
+        0xf5, 0x1e, 0x0d, 0xc5, 0x86, 0x78, 0x51, 0xa9, 0x00, 0x00, 0xef, 0x4d, 0xe2, 0x94, 0x60, 0x89,
+        0x83, 0x04, 0xb4, 0x0e, 0x90, 0x10, 0x05, 0x1c, 0x7f, 0xd7, 0x33, 0x92, 0x1f, 0xe7, 0x74, 0x59
+    };
+    size_t min_value_1;
+    size_t max_value_1;
+    secp256k1_pedersen_commitment pc;
+
+    CHECK(secp256k1_pedersen_commitment_parse(ctx, &pc, commit_1));
+
+    CHECK(secp256k1_rangeproof_verify(
+        ctx,
+        &min_value_1, &max_value_1,
+        &pc,
+        vector_1, sizeof(vector_1),
+        NULL, 0,
+        secp256k1_generator_h
+    ));
+}
+
+void test_pedersen_commitment_fixed_vector(void) {
+    const unsigned char two_g[33] = {
+        0x09,
+        0xc6, 0x04, 0x7f, 0x94, 0x41, 0xed, 0x7d, 0x6d, 0x30, 0x45, 0x40, 0x6e, 0x95, 0xc0, 0x7c, 0xd8,
+        0x5c, 0x77, 0x8e, 0x4b, 0x8c, 0xef, 0x3c, 0xa7, 0xab, 0xac, 0x09, 0xb9, 0x5c, 0x70, 0x9e, 0xe5
+    };
+    unsigned char result[33];
+    secp256k1_pedersen_commitment parse;
+
+    CHECK(secp256k1_pedersen_commitment_parse(ctx, &parse, two_g));
+    CHECK(secp256k1_pedersen_commitment_serialize(ctx, result, &parse));
+    CHECK(memcmp(two_g, result, 33) == 0);
+
+    result[0] = 0x08;
+    CHECK(secp256k1_pedersen_commitment_parse(ctx, &parse, result));
+    result[0] = 0x0c;
+    CHECK(!secp256k1_pedersen_commitment_parse(ctx, &parse, result));
+}
+
+void run_rangeproof_tests(void) {
+    int i;
+    test_api();
+    test_rangeproof_fixed_vectors();
+    test_pedersen_commitment_fixed_vector();
+    for (i = 0; i < 10*count; i++) {
+        test_pedersen();
+    }
+    for (i = 0; i < 10*count; i++) {
+        test_borromean();
+    }
+    test_rangeproof();
+    test_multiple_generators();
+}
+
+#endif

src/secp256k1/src/modules/surjection/Makefile.am.include

@@ -0,0 +1,6 @@
+include_HEADERS += include/secp256k1_surjectionproof.h
+noinst_HEADERS += src/modules/surjection/main_impl.h
+noinst_HEADERS += src/modules/surjection/surjection.h
+noinst_HEADERS += src/modules/surjection/surjection_impl.h
+noinst_HEADERS += src/modules/surjection/tests_impl.h
+

src/secp256k1/src/modules/surjection/main_impl.h

@@ -0,0 +1,338 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+#ifndef SECP256K1_MODULE_SURJECTION_MAIN
+#define SECP256K1_MODULE_SURJECTION_MAIN
+
+#include <assert.h>
+#include <string.h>
+
+#include "modules/rangeproof/borromean.h"
+#include "modules/surjection/surjection_impl.h"
+#include "hash.h"
+#include "include/secp256k1_rangeproof.h"
+#include "include/secp256k1_surjectionproof.h"
+
+static size_t secp256k1_count_bits_set(const unsigned char* data, size_t count) {
+    size_t ret = 0;
+    size_t i;
+    for (i = 0; i < count; i++) {
+#ifdef HAVE_BUILTIN_POPCOUNT
+	ret += __builtin_popcount(data[i]);
+#else
+        ret += !!(data[i] & 0x1);
+        ret += !!(data[i] & 0x2);
+        ret += !!(data[i] & 0x4);
+        ret += !!(data[i] & 0x8);
+        ret += !!(data[i] & 0x10);
+        ret += !!(data[i] & 0x20);
+        ret += !!(data[i] & 0x40);
+        ret += !!(data[i] & 0x80);
+#endif
+    }
+    return ret;
+}
+
+int secp256k1_surjectionproof_parse(const secp256k1_context* ctx, secp256k1_surjectionproof *proof, const unsigned char *input, size_t inputlen) {
+    size_t n_inputs;
+    size_t signature_len;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(input != NULL);
+    (void) ctx;
+
+    if (inputlen < 2) {
+        return 0;
+    }
+    n_inputs = ((size_t) (input[1] << 8)) + input[0];
+    if (n_inputs > SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS) {
+        return 0;
+    }
+    if (inputlen < 2 + (n_inputs + 7) / 8) {
+        return 0;
+    }
+
+    signature_len = 32 * (1 + secp256k1_count_bits_set(&input[2], (n_inputs + 7) / 8));
+    if (inputlen != 2 + (n_inputs + 7) / 8 + signature_len) {
+        return 0;
+    }
+    proof->n_inputs = n_inputs;
+    memcpy(proof->used_inputs, &input[2], (n_inputs + 7) / 8);
+    memcpy(proof->data, &input[2 + (n_inputs + 7) / 8], signature_len);
+
+    return 1;
+}
+
+int secp256k1_surjectionproof_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *outputlen, const secp256k1_surjectionproof *proof) {
+    size_t signature_len;
+    size_t serialized_len;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(output != NULL);
+    ARG_CHECK(outputlen != NULL);
+    ARG_CHECK(proof != NULL);
+    (void) ctx;
+
+    signature_len = 32 * (1 + secp256k1_count_bits_set(proof->used_inputs, (proof->n_inputs + 7) / 8));
+    serialized_len = 2 + (proof->n_inputs + 7) / 8 + signature_len;
+    if (*outputlen < serialized_len) {
+        return 0;
+    }
+
+    output[0] = proof->n_inputs % 0x100;
+    output[1] = proof->n_inputs / 0x100;
+    memcpy(&output[2], proof->used_inputs, (proof->n_inputs + 7) / 8);
+    memcpy(&output[2 + (proof->n_inputs + 7) / 8], proof->data, signature_len);
+    *outputlen = serialized_len;
+
+    return 1;
+}
+
+size_t secp256k1_surjectionproof_n_total_inputs(const secp256k1_context* ctx, const secp256k1_surjectionproof* proof) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    (void) ctx;
+    return proof->n_inputs;
+}
+
+size_t secp256k1_surjectionproof_n_used_inputs(const secp256k1_context* ctx, const secp256k1_surjectionproof* proof) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    (void) ctx;
+    return secp256k1_count_bits_set(proof->used_inputs, (proof->n_inputs + 7) / 8);
+}
+
+size_t secp256k1_surjectionproof_serialized_size(const secp256k1_context* ctx, const secp256k1_surjectionproof* proof) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    return 2 + (proof->n_inputs + 7) / 8 + 32 * (1 + secp256k1_surjectionproof_n_used_inputs(ctx, proof));
+}
+
+typedef struct {
+    unsigned char state[32];
+    size_t state_i;
+} secp256k1_surjectionproof_csprng;
+
+static void secp256k1_surjectionproof_csprng_init(secp256k1_surjectionproof_csprng *csprng, const unsigned char* state) {
+    memcpy(csprng->state, state, 32);
+    csprng->state_i = 0;
+}
+
+static size_t secp256k1_surjectionproof_csprng_next(secp256k1_surjectionproof_csprng *csprng, size_t rand_max) {
+    /* The number of random bytes to read for each random sample */
+    const size_t increment = rand_max > 256 ? 2 : 1;
+    /* The maximum value expressable by the number of random bytes we read */
+    const size_t selection_range = rand_max > 256 ? 0xffff : 0xff;
+    /* The largest multiple of rand_max that fits within selection_range */
+    const size_t limit = ((selection_range + 1) / rand_max) * rand_max;
+
+    while (1) {
+        size_t val;
+        if (csprng->state_i + increment >= 32) {
+            secp256k1_sha256 sha;
+            secp256k1_sha256_initialize(&sha);
+            secp256k1_sha256_write(&sha, csprng->state, 32);
+            secp256k1_sha256_finalize(&sha, csprng->state);
+            csprng->state_i = 0;
+        }
+        val = csprng->state[csprng->state_i];
+        if (increment > 1) {
+            val = (val << 8) + csprng->state[csprng->state_i + 1];
+        }
+        csprng->state_i += increment;
+        /* Accept only values below our limit. Values equal to or above the limit are
+         * biased because they comprise only a subset of the range (0, rand_max - 1) */
+        if (val < limit) {
+            return val % rand_max;
+        }
+    }
+}
+
+int secp256k1_surjectionproof_initialize(const secp256k1_context* ctx, secp256k1_surjectionproof* proof, size_t *input_index, const secp256k1_fixed_asset_tag* fixed_input_tags, const size_t n_input_tags, const size_t n_input_tags_to_use, const secp256k1_fixed_asset_tag* fixed_output_tag, const size_t n_max_iterations, const unsigned char *random_seed32) {
+    secp256k1_surjectionproof_csprng csprng;
+    size_t n_iterations = 0;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(input_index != NULL);
+    ARG_CHECK(fixed_input_tags != NULL);
+    ARG_CHECK(fixed_output_tag != NULL);
+    ARG_CHECK(random_seed32 != NULL);
+    ARG_CHECK(n_input_tags <= SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS);
+    ARG_CHECK(n_input_tags_to_use <= n_input_tags);
+    (void) ctx;
+
+    secp256k1_surjectionproof_csprng_init(&csprng, random_seed32);
+    memset(proof->data, 0, sizeof(proof->data));
+    proof->n_inputs = n_input_tags;
+
+    while (1) {
+        int has_output_tag = 0;
+        size_t i;
+
+        /* obtain a random set of indices */
+        memset(proof->used_inputs, 0, sizeof(proof->used_inputs));
+        for (i = 0; i < n_input_tags_to_use; i++) {
+            while (1) {
+                size_t next_input_index;
+                next_input_index = secp256k1_surjectionproof_csprng_next(&csprng, n_input_tags);
+                if (memcmp(&fixed_input_tags[next_input_index], fixed_output_tag, sizeof(*fixed_output_tag)) == 0) {
+                    *input_index = next_input_index;
+                    has_output_tag = 1;
+                }
+
+                if (!(proof->used_inputs[next_input_index / 8] & (1 << (next_input_index  % 8)))) {
+                    proof->used_inputs[next_input_index / 8] |= (1 << (next_input_index % 8));
+                    break;
+                }
+            }
+        }
+
+        /* Check if we succeeded */
+        n_iterations++;
+        if (has_output_tag) {
+#ifdef VERIFY
+            proof->initialized = 1;
+#endif
+            return n_iterations;
+        }
+        if (n_iterations >= n_max_iterations) {
+#ifdef VERIFY
+            proof->initialized = 0;
+#endif
+            return 0;
+        }
+    }
+}
+
+int secp256k1_surjectionproof_generate(const secp256k1_context* ctx, secp256k1_surjectionproof* proof, const secp256k1_generator* ephemeral_input_tags, size_t n_ephemeral_input_tags, const secp256k1_generator* ephemeral_output_tag, size_t input_index, const unsigned char *input_blinding_key, const unsigned char *output_blinding_key) {
+    secp256k1_scalar blinding_key;
+    secp256k1_scalar tmps;
+    secp256k1_scalar nonce;
+    int overflow = 0;
+    size_t rsizes[1];    /* array needed for borromean sig API */
+    size_t indices[1];   /* array needed for borromean sig API */
+    size_t i;
+    size_t n_total_pubkeys;
+    size_t n_used_pubkeys;
+    size_t ring_input_index = 0;
+    secp256k1_gej ring_pubkeys[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_scalar borromean_s[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_ge inputs[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_ge output;
+    unsigned char msg32[32];
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(ephemeral_input_tags != NULL);
+    ARG_CHECK(ephemeral_output_tag != NULL);
+    ARG_CHECK(input_blinding_key != NULL);
+    ARG_CHECK(output_blinding_key != NULL);
+#ifdef VERIFY
+    CHECK(proof->initialized == 1);
+#endif
+
+    /* Compute secret key */
+    secp256k1_scalar_set_b32(&tmps, input_blinding_key, &overflow);
+    if (overflow) {
+        return 0;
+    }
+    secp256k1_scalar_set_b32(&blinding_key, output_blinding_key, &overflow);
+    if (overflow) {
+        return 0;
+    }
+    /* The only time the input may equal the output is if neither one was blinded in the first place,
+     * i.e. both blinding keys are zero. Otherwise this is a privacy leak. */
+    if (secp256k1_scalar_eq(&tmps, &blinding_key) && !secp256k1_scalar_is_zero(&blinding_key)) {
+        return 0;
+    }
+    secp256k1_scalar_negate(&tmps, &tmps);
+    secp256k1_scalar_add(&blinding_key, &blinding_key, &tmps);
+
+    /* Compute public keys */
+    n_total_pubkeys = secp256k1_surjectionproof_n_total_inputs(ctx, proof);
+    n_used_pubkeys = secp256k1_surjectionproof_n_used_inputs(ctx, proof);
+    if (n_used_pubkeys > n_total_pubkeys || n_total_pubkeys != n_ephemeral_input_tags) {
+        return 0;
+    }
+
+    secp256k1_generator_load(&output, ephemeral_output_tag);
+    for (i = 0; i < n_total_pubkeys; i++) {
+        secp256k1_generator_load(&inputs[i], &ephemeral_input_tags[i]);
+    }
+
+    secp256k1_surjection_compute_public_keys(ring_pubkeys, n_used_pubkeys, inputs, n_total_pubkeys, proof->used_inputs, &output, input_index, &ring_input_index);
+
+    /* Produce signature */
+    rsizes[0] = (int) n_used_pubkeys;
+    indices[0] = (int) ring_input_index;
+    secp256k1_surjection_genmessage(msg32, inputs, n_total_pubkeys, &output);
+    if (secp256k1_surjection_genrand(borromean_s, n_used_pubkeys, &blinding_key) == 0) {
+        return 0;
+    }
+    /* Borromean sign will overwrite one of the s values we just generated, so use
+     * it as a nonce instead. This avoids extra random generation and also is an
+     * homage to the rangeproof code which does this very cleverly to encode messages. */
+    nonce = borromean_s[ring_input_index];
+    secp256k1_scalar_clear(&borromean_s[ring_input_index]);
+    if (secp256k1_borromean_sign(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx, &proof->data[0], borromean_s, ring_pubkeys, &nonce, &blinding_key, rsizes, indices, 1, msg32, 32) == 0) {
+        return 0;
+    }
+    for (i = 0; i < n_used_pubkeys; i++) {
+        secp256k1_scalar_get_b32(&proof->data[32 + 32 * i], &borromean_s[i]);
+    }
+    return 1;
+}
+
+int secp256k1_surjectionproof_verify(const secp256k1_context* ctx, const secp256k1_surjectionproof* proof, const secp256k1_generator* ephemeral_input_tags, size_t n_ephemeral_input_tags, const secp256k1_generator* ephemeral_output_tag) {
+    size_t rsizes[1];    /* array needed for borromean sig API */
+    size_t i;
+    size_t n_total_pubkeys;
+    size_t n_used_pubkeys;
+    secp256k1_gej ring_pubkeys[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_scalar borromean_s[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_ge inputs[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS];
+    secp256k1_ge output;
+    unsigned char msg32[32];
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(proof != NULL);
+    ARG_CHECK(ephemeral_input_tags != NULL);
+    ARG_CHECK(ephemeral_output_tag != NULL);
+
+    /* Compute public keys */
+    n_total_pubkeys = secp256k1_surjectionproof_n_total_inputs(ctx, proof);
+    n_used_pubkeys = secp256k1_surjectionproof_n_used_inputs(ctx, proof);
+    if (n_used_pubkeys == 0 || n_used_pubkeys > n_total_pubkeys || n_total_pubkeys != n_ephemeral_input_tags) {
+        return 0;
+    }
+
+    secp256k1_generator_load(&output, ephemeral_output_tag);
+    for (i = 0; i < n_total_pubkeys; i++) {
+        secp256k1_generator_load(&inputs[i], &ephemeral_input_tags[i]);
+    }
+
+    if (secp256k1_surjection_compute_public_keys(ring_pubkeys, n_used_pubkeys, inputs, n_total_pubkeys, proof->used_inputs, &output, 0, NULL) == 0) {
+        return 0;
+    }
+
+    /* Verify signature */
+    rsizes[0] = (int) n_used_pubkeys;
+    for (i = 0; i < n_used_pubkeys; i++) {
+        int overflow = 0;
+        secp256k1_scalar_set_b32(&borromean_s[i], &proof->data[32 + 32 * i], &overflow);
+        if (overflow == 1) {
+            return 0;
+        }
+    }
+    secp256k1_surjection_genmessage(msg32, inputs, n_total_pubkeys, &output);
+    return secp256k1_borromean_verify(&ctx->ecmult_ctx, NULL, &proof->data[0], borromean_s, ring_pubkeys, rsizes, 1, msg32, 32);
+}
+
+#endif

src/secp256k1/src/modules/surjection/surjection.h

@@ -0,0 +1,19 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_SURJECTION_H_
+#define _SECP256K1_SURJECTION_H_
+
+#include "group.h"
+#include "scalar.h"
+
+SECP256K1_INLINE static int secp256k1_surjection_genmessage(unsigned char *msg32, secp256k1_ge *ephemeral_input_tags, size_t n_input_tags, secp256k1_ge *ephemeral_output_tag);
+
+SECP256K1_INLINE static int secp256k1_surjection_genrand(secp256k1_scalar *s, size_t ns, const secp256k1_scalar *blinding_key);
+
+SECP256K1_INLINE static int secp256k1_surjection_compute_public_keys(secp256k1_gej *pubkeys, size_t n_pubkeys, const secp256k1_ge *input_tags, size_t n_input_tags, const unsigned char *used_tags, const secp256k1_ge *output_tag, size_t input_index, size_t *ring_input_index);
+
+#endif

src/secp256k1/src/modules/surjection/surjection.md

@@ -0,0 +1,108 @@
+Surjection Proof Module
+===========================
+
+This module implements a scheme by which a given point can be proven to be
+equal to one of a set of points, plus a known difference. This is used in
+Confidential Assets when reblinding "asset commitments", which are NUMS
+points, to prove that the underlying NUMS point does not change during
+reblinding.
+
+Assets are represented, in general, by a 32-byte seed (a hash of some
+transaction data) which is hashed to form a NUMS generator, which appears
+on the blockchain only in blinded form. We refer to the seed as an
+"asset ID" and the blinded generator as an "(ephemeral) asset commitment".
+These asset commitments are unique per-output, and their NUMS components
+are in general known only to the holder of the output.
+
+The result is that within a transaction, all outputs are able to have
+a new uniformly-random asset commitment which cannot be associated with
+any individual input asset id, but verifiers are nonetheless assured that
+all assets coming out of a transaction are ones that went in.
+
+### Terminology
+
+Assets are identified by a 32-byte "asset ID". In this library these IDs
+are used as input to a point-valued hash function `H`. We usually refer
+to the hash output as `A`, since this output is the only thing that appears
+in the algebra.
+
+Then transaction outputs have "asset commitments", which are curvepoints
+of the form `A + rG`, where `A` is the hash of the asset ID and `r` is
+some random "blinding factor".
+
+### Design Rationale
+
+Confidential Assets essentially works by replacing the second NUMS generator
+`H` in Confidental Transactions with a per-asset unique NUMS generator. This
+allows the same verification equation (the sum of all blinded inputs must
+equal the sum of all blinded outputs) to imply that quantity of *every* asset
+type is preserved in each transaction.
+
+It turns out that even if outputs are reblinded by the addition of `rG` for
+some known `r`, this verification equation has the same meaning, with one
+caveat: verifiers must be assured that the reblinding preserves the original
+generators (and does not, for example, negate them).
+
+This assurance is what surjection proofs provide.
+
+### Limitations
+
+The naive scheme works as follows: every output asset is shown to have come
+from some input asset. However, the proofs scale with the number of input
+assets, so for all outputs the total size of all surjection proofs is `O(mn)`
+for `m`, `n` the number of inputs and outputs.
+
+We therefore restrict the number of inputs that each output may have come
+from to 3 (well, some fixed number, which is passed into the API), which
+provides a weaker form of blinding, but gives `O(n)` scaling. Over many
+transactions, the privacy afforded by this increases exponentially.
+
+### Our Scheme
+
+Our scheme works as follows. Proofs are generated in two steps, "initialization"
+which selects a subset of inputs and "generation" which does the mathematical
+part of proof generation.
+
+Every input has an asset commitment for which we know the blinding key and
+underlying asset ID.
+
+#### Initialization
+
+The initialization function takes a list of input asset IDs and one output
+asset ID. It chooses an input subset of some fixed size repeatedly until it
+the output ID appears at least once in its subset.
+
+It stores a bitmap representing this subset in the proof object and returns
+the number of iterations it needed to choose the subset. The reciprocal of
+this represents the probability that a uniformly random input-output
+mapping would correspond to the actual input-output mapping, and therefore
+gives a measure of privacy. (Lower iteration counts are better.)
+
+It also informs the caller the index of the input whose ID matches the output.
+
+As the API works on only a single output at a time, the total probability
+should be computed by multiplying together the counts for each output.
+
+#### Generation
+
+The generation function takes a list of input asset commitments, an output
+asset commitment, the input index returned by the initialization step, and
+blinding keys for (a) the output commitment, (b) the input commitment. Here
+"the input commitment" refers specifically to the input whose index was
+chosen during initialization.
+
+Next, it computes a ring signature over the differences between the output
+commitment and every input commitment chosen during initialization. Since
+the discrete log of one of these is the difference between the output and
+input blinding keys, it is possible to create a ring signature over every
+differences will be the blinding factor of the output. We create such a
+signature, which completes the proof.
+
+#### Verification
+
+Verification takes a surjection proof object, a list of input commitments,
+and an output commitment. The proof object contains a ring signature and
+a bitmap describing which input commitments to use, and verification
+succeeds iff the signature verifies.
+
+

src/secp256k1/src/modules/surjection/surjection_impl.h

@@ -0,0 +1,86 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_SURJECTION_IMPL_H_
+#define _SECP256K1_SURJECTION_IMPL_H_
+
+#include <assert.h>
+#include <string.h>
+
+#include "eckey.h"
+#include "group.h"
+#include "scalar.h"
+#include "hash.h"
+
+SECP256K1_INLINE static void secp256k1_surjection_genmessage(unsigned char *msg32, secp256k1_ge *ephemeral_input_tags, size_t n_input_tags, secp256k1_ge *ephemeral_output_tag) {
+    /* compute message */
+    size_t i;
+    unsigned char pk_ser[33];
+    size_t pk_len = sizeof(pk_ser);
+    secp256k1_sha256 sha256_en;
+
+    secp256k1_sha256_initialize(&sha256_en);
+    for (i = 0; i < n_input_tags; i++) {
+        secp256k1_eckey_pubkey_serialize(&ephemeral_input_tags[i], pk_ser, &pk_len, 1);
+        assert(pk_len == sizeof(pk_ser));
+        secp256k1_sha256_write(&sha256_en, pk_ser, pk_len);
+    }
+    secp256k1_eckey_pubkey_serialize(ephemeral_output_tag, pk_ser, &pk_len, 1);
+    assert(pk_len == sizeof(pk_ser));
+    secp256k1_sha256_write(&sha256_en, pk_ser, pk_len);
+    secp256k1_sha256_finalize(&sha256_en, msg32);
+}
+
+SECP256K1_INLINE static int secp256k1_surjection_genrand(secp256k1_scalar *s, size_t ns, const secp256k1_scalar *blinding_key) {
+    size_t i;
+    unsigned char sec_input[36];
+    secp256k1_sha256 sha256_en;
+
+    /* compute s values */
+    secp256k1_scalar_get_b32(&sec_input[4], blinding_key);
+    for (i = 0; i < ns; i++) {
+        int overflow = 0;
+        sec_input[0] = i;
+        sec_input[1] = i >> 8;
+        sec_input[2] = i >> 16;
+        sec_input[3] = i >> 24;
+
+        secp256k1_sha256_initialize(&sha256_en);
+        secp256k1_sha256_write(&sha256_en, sec_input, 36);
+        secp256k1_sha256_finalize(&sha256_en, sec_input);
+        secp256k1_scalar_set_b32(&s[i], sec_input, &overflow);
+        if (overflow == 1) {
+            memset(sec_input, 0, 32);
+            return 0;
+        }
+    }
+    memset(sec_input, 0, 32);
+    return 1;
+}
+
+SECP256K1_INLINE static int secp256k1_surjection_compute_public_keys(secp256k1_gej *pubkeys, size_t n_pubkeys, const secp256k1_ge *input_tags, size_t n_input_tags, const unsigned char *used_tags, const secp256k1_ge *output_tag, size_t input_index, size_t *ring_input_index) {
+    size_t i;
+    size_t j = 0;
+    for (i = 0; i < n_input_tags; i++) {
+        if (used_tags[i / 8] & (1 << (i % 8))) {
+            secp256k1_ge tmpge;
+            secp256k1_ge_neg(&tmpge, &input_tags[i]);
+            secp256k1_gej_set_ge(&pubkeys[j], &tmpge);
+            secp256k1_gej_add_ge_var(&pubkeys[j], &pubkeys[j], output_tag, NULL);
+            if (ring_input_index != NULL && input_index == i) {
+                *ring_input_index = j;
+            }
+            j++;
+            if (j > n_pubkeys) {
+                return 0;
+            }
+        }
+    }
+    return 1;
+}
+
+
+#endif

src/secp256k1/src/modules/surjection/tests_impl.h

@@ -0,0 +1,494 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_SURJECTIONPROOF_TESTS
+#define SECP256K1_MODULE_SURJECTIONPROOF_TESTS
+
+#include "testrand.h"
+#include "group.h"
+#include "include/secp256k1_generator.h"
+#include "include/secp256k1_rangeproof.h"
+#include "include/secp256k1_surjectionproof.h"
+
+static void test_surjectionproof_api(void) {
+    unsigned char seed[32];
+    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_fixed_asset_tag fixed_input_tags[10];
+    secp256k1_fixed_asset_tag fixed_output_tag;
+    secp256k1_generator ephemeral_input_tags[10];
+    secp256k1_generator ephemeral_output_tag;
+    unsigned char input_blinding_key[10][32];
+    unsigned char output_blinding_key[32];
+    unsigned char serialized_proof[SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX];
+    size_t  serialized_len;
+    secp256k1_surjectionproof proof;
+    size_t n_inputs = sizeof(fixed_input_tags) / sizeof(fixed_input_tags[0]);
+    size_t input_index;
+    int32_t ecount = 0;
+    size_t i;
+
+    secp256k1_rand256(seed);
+    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);
+
+    for (i = 0; i < n_inputs; i++) {
+        secp256k1_rand256(input_blinding_key[i]);
+        secp256k1_rand256(fixed_input_tags[i].data);
+        CHECK(secp256k1_generator_generate_blinded(ctx, &ephemeral_input_tags[i], fixed_input_tags[i].data, input_blinding_key[i]));
+    }
+    secp256k1_rand256(output_blinding_key);
+    memcpy(&fixed_output_tag, &fixed_input_tags[0], sizeof(fixed_input_tags[0]));
+    CHECK(secp256k1_generator_generate_blinded(ctx, &ephemeral_output_tag, fixed_output_tag.data, output_blinding_key));
+
+    /* check initialize */
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 0, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 0);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 3, &fixed_input_tags[0], 100, seed) != 0);
+    CHECK(ecount == 0);
+    CHECK(secp256k1_surjectionproof_initialize(none, NULL, &input_index, fixed_input_tags, n_inputs, 3, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 1);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, NULL, fixed_input_tags, n_inputs, 3, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 2);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, NULL, n_inputs, 3, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 3);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS + 1, 3, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 4);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, n_inputs, &fixed_input_tags[0], 100, seed) != 0);
+    CHECK(ecount == 4);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, n_inputs + 1, &fixed_input_tags[0], 100, seed) == 0);
+    CHECK(ecount == 5);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 3, NULL, 100, seed) == 0);
+    CHECK(ecount == 6);
+    CHECK((secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 0, &fixed_input_tags[0], 0, seed) & 1) == 0);
+    CHECK(ecount == 6);
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 0, &fixed_input_tags[0], 100, NULL) == 0);
+    CHECK(ecount == 7);
+
+    CHECK(secp256k1_surjectionproof_initialize(none, &proof, &input_index, fixed_input_tags, n_inputs, 3, &fixed_input_tags[0], 100, seed) != 0);
+    /* check generate */
+    CHECK(secp256k1_surjectionproof_generate(none, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 8);
+    CHECK(secp256k1_surjectionproof_generate(vrfy, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 9);
+
+    CHECK(secp256k1_surjectionproof_generate(sign, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 10);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) != 0);
+    CHECK(ecount == 10);
+
+    CHECK(secp256k1_surjectionproof_generate(both, NULL, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 11);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, NULL, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 12);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs + 1, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 12);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs - 1, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 12);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, 0, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 12);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, NULL, 0, input_blinding_key[0], output_blinding_key) == 0);
+    CHECK(ecount == 13);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 1, input_blinding_key[0], output_blinding_key) != 0);
+    CHECK(ecount == 13);  /* the above line "succeeds" but generates an invalid proof as the input_index is wrong. it is fairly expensive to detect this. should we? */
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, n_inputs + 1, input_blinding_key[0], output_blinding_key) != 0);
+    CHECK(ecount == 13);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, NULL, output_blinding_key) == 0);
+    CHECK(ecount == 14);
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], NULL) == 0);
+    CHECK(ecount == 15);
+
+    CHECK(secp256k1_surjectionproof_generate(both, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag, 0, input_blinding_key[0], output_blinding_key) != 0);
+    /* check verify */
+    CHECK(secp256k1_surjectionproof_verify(none, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 16);
+    CHECK(secp256k1_surjectionproof_verify(sign, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 17);
+    CHECK(secp256k1_surjectionproof_verify(vrfy, &proof, ephemeral_input_tags, n_inputs, &ephemeral_output_tag) != 0);
+    CHECK(ecount == 17);
+
+    CHECK(secp256k1_surjectionproof_verify(vrfy, NULL, ephemeral_input_tags, n_inputs, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 18);
+    CHECK(secp256k1_surjectionproof_verify(vrfy, &proof, NULL, n_inputs, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 19);
+    CHECK(secp256k1_surjectionproof_verify(vrfy, &proof, ephemeral_input_tags, n_inputs - 1, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 19);
+    CHECK(secp256k1_surjectionproof_verify(vrfy, &proof, ephemeral_input_tags, n_inputs + 1, &ephemeral_output_tag) == 0);
+    CHECK(ecount == 19);
+    CHECK(secp256k1_surjectionproof_verify(vrfy, &proof, ephemeral_input_tags, n_inputs, NULL) == 0);
+    CHECK(ecount == 20);
+
+    /* Check serialize */
+    serialized_len = sizeof(serialized_proof);
+    CHECK(secp256k1_surjectionproof_serialize(none, serialized_proof, &serialized_len, &proof) != 0);
+    CHECK(ecount == 20);
+    serialized_len = sizeof(serialized_proof);
+    CHECK(secp256k1_surjectionproof_serialize(none, NULL, &serialized_len, &proof) == 0);
+    CHECK(ecount == 21);
+    serialized_len = sizeof(serialized_proof);
+    CHECK(secp256k1_surjectionproof_serialize(none, serialized_proof, NULL, &proof) == 0);
+    CHECK(ecount == 22);
+    serialized_len = sizeof(serialized_proof);
+    CHECK(secp256k1_surjectionproof_serialize(none, serialized_proof, &serialized_len, NULL) == 0);
+    CHECK(ecount == 23);
+
+    serialized_len = sizeof(serialized_proof);
+    CHECK(secp256k1_surjectionproof_serialize(none, serialized_proof, &serialized_len, &proof) != 0);
+    /* Check parse */
+    CHECK(secp256k1_surjectionproof_parse(none, &proof, serialized_proof, serialized_len) != 0);
+    CHECK(ecount == 23);
+    CHECK(secp256k1_surjectionproof_parse(none, NULL, serialized_proof, serialized_len) == 0);
+    CHECK(ecount == 24);
+    CHECK(secp256k1_surjectionproof_parse(none, &proof, NULL, serialized_len) == 0);
+    CHECK(ecount == 25);
+    CHECK(secp256k1_surjectionproof_parse(none, &proof, serialized_proof, 0) == 0);
+    CHECK(ecount == 25);
+
+    secp256k1_context_destroy(none);
+    secp256k1_context_destroy(sign);
+    secp256k1_context_destroy(vrfy);
+    secp256k1_context_destroy(both);
+}
+
+static void test_input_selection(size_t n_inputs) {
+    unsigned char seed[32];
+    size_t i;
+    size_t result;
+    size_t input_index;
+    size_t try_count = n_inputs * 100;
+    secp256k1_surjectionproof proof;
+    secp256k1_fixed_asset_tag fixed_input_tags[1000];
+    const size_t max_n_inputs = sizeof(fixed_input_tags) / sizeof(fixed_input_tags[0]) - 1;
+
+    CHECK(n_inputs < max_n_inputs);
+    secp256k1_rand256(seed);
+
+    for (i = 0; i < n_inputs + 1; i++) {
+        secp256k1_rand256(fixed_input_tags[i].data);
+    }
+
+    /* cannot match output when told to use zero keys */
+    result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, 0, &fixed_input_tags[0], try_count, seed);
+    CHECK(result == 0);
+    CHECK(secp256k1_surjectionproof_n_used_inputs(ctx, &proof) == 0);
+    CHECK(secp256k1_surjectionproof_n_total_inputs(ctx, &proof) == n_inputs);
+    CHECK(secp256k1_surjectionproof_serialized_size(ctx, &proof) == 34 + (n_inputs + 7) / 8);
+    if (n_inputs > 0) {
+        /* succeed in 100*n_inputs tries (probability of failure e^-100) */
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, 1, &fixed_input_tags[0], try_count, seed);
+        CHECK(result > 0);
+        CHECK(result < n_inputs * 10);
+        CHECK(secp256k1_surjectionproof_n_used_inputs(ctx, &proof) == 1);
+        CHECK(secp256k1_surjectionproof_n_total_inputs(ctx, &proof) == n_inputs);
+        CHECK(secp256k1_surjectionproof_serialized_size(ctx, &proof) == 66 + (n_inputs + 7) / 8);
+        CHECK(input_index == 0);
+    }
+
+    if (n_inputs >= 3) {
+        /* succeed in 10*n_inputs tries (probability of failure e^-10) */
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, 3, &fixed_input_tags[1], try_count, seed);
+        CHECK(result > 0);
+        CHECK(secp256k1_surjectionproof_n_used_inputs(ctx, &proof) == 3);
+        CHECK(secp256k1_surjectionproof_n_total_inputs(ctx, &proof) == n_inputs);
+        CHECK(secp256k1_surjectionproof_serialized_size(ctx, &proof) == 130 + (n_inputs + 7) / 8);
+        CHECK(input_index == 1);
+
+        /* fail, key not found */
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, 3, &fixed_input_tags[n_inputs], try_count, seed);
+        CHECK(result == 0);
+
+        /* succeed on first try when told to use all keys */
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, n_inputs, &fixed_input_tags[0], try_count, seed);
+        CHECK(result == 1);
+        CHECK(secp256k1_surjectionproof_n_used_inputs(ctx, &proof) == n_inputs);
+        CHECK(secp256k1_surjectionproof_n_total_inputs(ctx, &proof) == n_inputs);
+        CHECK(secp256k1_surjectionproof_serialized_size(ctx, &proof) == 2 + 32 * (n_inputs + 1) + (n_inputs + 7) / 8);
+        CHECK(input_index == 0);
+
+        /* succeed in less than 64 tries when told to use half keys. (probability of failure 2^-64) */
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, n_inputs / 2, &fixed_input_tags[0], 64, seed);
+        CHECK(result > 0);
+        CHECK(result < 64);
+        CHECK(secp256k1_surjectionproof_n_used_inputs(ctx, &proof) == n_inputs / 2);
+        CHECK(secp256k1_surjectionproof_n_total_inputs(ctx, &proof) == n_inputs);
+        CHECK(secp256k1_surjectionproof_serialized_size(ctx, &proof) == 2 + 32 * (n_inputs / 2 + 1) + (n_inputs + 7) / 8);
+        CHECK(input_index == 0);
+    }
+}
+
+/** Runs surjectionproof_initilize multiple times and records the number of times each input was used.
+ */
+static void test_input_selection_distribution_helper(const secp256k1_fixed_asset_tag* fixed_input_tags, const size_t n_input_tags, const size_t n_input_tags_to_use, size_t *used_inputs) {
+    secp256k1_surjectionproof proof;
+    size_t input_index;
+    size_t i;
+    size_t j;
+    unsigned char seed[32];
+    size_t result;
+    for (i = 0; i < n_input_tags; i++) {
+        used_inputs[i] = 0;
+    }
+    for(j = 0; j < 10000; j++) {
+        secp256k1_rand256(seed);
+        result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_input_tags, n_input_tags_to_use, &fixed_input_tags[0], 64, seed);
+        CHECK(result > 0);
+
+        for (i = 0; i < n_input_tags; i++) {
+            if (proof.used_inputs[i / 8] & (1 << (i % 8))) {
+                used_inputs[i] += 1;
+            }
+        }
+    }
+}
+
+/** Probabilistic test of the distribution of used_inputs after surjectionproof_initialize.
+ * Each confidence interval assertion fails incorrectly with a probability of 2^-128.
+ */
+static void test_input_selection_distribution(void) {
+    size_t i;
+    size_t n_input_tags_to_use;
+    const size_t n_inputs = 4;
+    secp256k1_fixed_asset_tag fixed_input_tags[4];
+    size_t used_inputs[4];
+
+    for (i = 0; i < n_inputs; i++) {
+        secp256k1_rand256(fixed_input_tags[i].data);
+    }
+
+    /* If there is one input tag to use, initialize must choose the one equal to fixed_output_tag. */
+    n_input_tags_to_use = 1;
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] == 10000);
+    CHECK(used_inputs[1] == 0);
+    CHECK(used_inputs[2] == 0);
+    CHECK(used_inputs[3] == 0);
+
+    n_input_tags_to_use = 2;
+    /* The input equal to the fixed_output_tag must be included in all used_inputs sets.
+     * For each fixed_input_tag != fixed_output_tag the probability that it's included
+     * in the used_inputs set is P(used_input|not fixed_output_tag) = 1/3.
+     */
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] == 10000);
+    CHECK(used_inputs[1] > 2725 && used_inputs[1] < 3961);
+    CHECK(used_inputs[2] > 2725 && used_inputs[2] < 3961);
+    CHECK(used_inputs[3] > 2725 && used_inputs[3] < 3961);
+
+    n_input_tags_to_use = 3;
+    /* P(used_input|not fixed_output_tag) = 2/3 */
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] == 10000);
+    CHECK(used_inputs[1] > 6039 && used_inputs[1] < 7275);
+    CHECK(used_inputs[2] > 6039 && used_inputs[2] < 7275);
+    CHECK(used_inputs[3] > 6039 && used_inputs[3] < 7275);
+
+
+    n_input_tags_to_use = 1;
+    /* Create second input tag that is equal to the output tag. Therefore, when using only
+     * one input we have P(used_input|fixed_output_tag) = 1/2 and P(used_input|not fixed_output_tag) = 0
+     */
+    memcpy(fixed_input_tags[0].data, fixed_input_tags[1].data, 32);
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] > 4345 && used_inputs[0] < 5655);
+    CHECK(used_inputs[1] > 4345 && used_inputs[1] < 5655);
+    CHECK(used_inputs[2] == 0);
+    CHECK(used_inputs[3] == 0);
+
+    n_input_tags_to_use = 2;
+    /* When choosing 2 inputs in initialization there are 5 possible combinations of
+     * input indexes {(0, 1), (1, 2), (0, 3), (1, 3), (0, 2)}. Therefore we have
+     * P(used_input|fixed_output_tag) = 3/5 and P(used_input|not fixed_output_tag) = 2/5.
+     */
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] > 5352 && used_inputs[0] < 6637);
+    CHECK(used_inputs[1] > 5352 && used_inputs[1] < 6637);
+    CHECK(used_inputs[2] > 3363 && used_inputs[2] < 4648);
+    CHECK(used_inputs[3] > 3363 && used_inputs[3] < 4648);
+
+    n_input_tags_to_use = 3;
+    /* There are 4 combinations, each with all inputs except one. Therefore we have
+     * P(used_input|fixed_output_tag) = 3/4 and P(used_input|not fixed_output_tag) = 3/4.
+     */
+    test_input_selection_distribution_helper(fixed_input_tags, n_inputs, n_input_tags_to_use, used_inputs);
+    CHECK(used_inputs[0] > 6918 && used_inputs[0] < 8053);
+    CHECK(used_inputs[1] > 6918 && used_inputs[1] < 8053);
+    CHECK(used_inputs[2] > 6918 && used_inputs[2] < 8053);
+    CHECK(used_inputs[3] > 6918 && used_inputs[3] < 8053);
+}
+
+static void test_gen_verify(size_t n_inputs, size_t n_used) {
+    unsigned char seed[32];
+    secp256k1_surjectionproof proof;
+    unsigned char serialized_proof[SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX];
+    unsigned char serialized_proof_trailing[SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX + 1];
+    size_t serialized_len = SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX;
+    secp256k1_fixed_asset_tag fixed_input_tags[1000];
+    secp256k1_generator ephemeral_input_tags[1000];
+    unsigned char *input_blinding_key[1000];
+    const size_t max_n_inputs = sizeof(fixed_input_tags) / sizeof(fixed_input_tags[0]) - 1;
+    size_t try_count = n_inputs * 100;
+    size_t key_index;
+    size_t input_index;
+    size_t i;
+    int result;
+
+    /* setup */
+    CHECK(n_used <= n_inputs);
+    CHECK(n_inputs < max_n_inputs);
+    secp256k1_rand256(seed);
+
+    key_index = (((size_t) seed[0] << 8) + seed[1]) % n_inputs;
+
+    for (i = 0; i < n_inputs + 1; i++) {
+        input_blinding_key[i] = malloc(32);
+        secp256k1_rand256(input_blinding_key[i]);
+        /* choose random fixed tag, except that for the output one copy from the key_index */
+        if (i < n_inputs) {
+            secp256k1_rand256(fixed_input_tags[i].data);
+        } else {
+            memcpy(&fixed_input_tags[i], &fixed_input_tags[key_index], sizeof(fixed_input_tags[i]));
+        }
+        CHECK(secp256k1_generator_generate_blinded(ctx, &ephemeral_input_tags[i], fixed_input_tags[i].data, input_blinding_key[i]));
+    }
+
+    /* test */
+    result = secp256k1_surjectionproof_initialize(ctx, &proof, &input_index, fixed_input_tags, n_inputs, n_used, &fixed_input_tags[key_index], try_count, seed);
+    if (n_used == 0) {
+        CHECK(result == 0);
+        return;
+    }
+    CHECK(result > 0);
+    CHECK(input_index == key_index);
+
+    result = secp256k1_surjectionproof_generate(ctx, &proof, ephemeral_input_tags, n_inputs, &ephemeral_input_tags[n_inputs], input_index, input_blinding_key[input_index], input_blinding_key[n_inputs]);
+    CHECK(result == 1);
+
+    CHECK(secp256k1_surjectionproof_serialize(ctx, serialized_proof, &serialized_len, &proof));
+    CHECK(serialized_len == secp256k1_surjectionproof_serialized_size(ctx, &proof));
+    CHECK(serialized_len == SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES(n_inputs, n_used));
+
+    /* trailing garbage */
+    memcpy(&serialized_proof_trailing, &serialized_proof, serialized_len);
+    serialized_proof_trailing[serialized_len] = seed[0];
+    CHECK(secp256k1_surjectionproof_parse(ctx, &proof, serialized_proof, serialized_len + 1) == 0);
+
+    CHECK(secp256k1_surjectionproof_parse(ctx, &proof, serialized_proof, serialized_len));
+    result = secp256k1_surjectionproof_verify(ctx, &proof, ephemeral_input_tags, n_inputs, &ephemeral_input_tags[n_inputs]);
+    CHECK(result == 1);
+    /* various fail cases */
+    if (n_inputs > 1) {
+        result = secp256k1_surjectionproof_verify(ctx, &proof, ephemeral_input_tags, n_inputs, &ephemeral_input_tags[n_inputs - 1]);
+        CHECK(result == 0);
+
+        /* number of entries in ephemeral_input_tags array is less than proof.n_inputs */
+        n_inputs -= 1;
+        result = secp256k1_surjectionproof_generate(ctx, &proof, ephemeral_input_tags, n_inputs, &ephemeral_input_tags[n_inputs], input_index, input_blinding_key[input_index], input_blinding_key[n_inputs]);
+        CHECK(result == 0);
+        result = secp256k1_surjectionproof_verify(ctx, &proof, ephemeral_input_tags, n_inputs, &ephemeral_input_tags[n_inputs - 1]);
+        CHECK(result == 0);
+        n_inputs += 1;
+    }
+
+    /* cleanup */
+    for (i = 0; i < n_inputs + 1; i++) {
+        free(input_blinding_key[i]);
+    }
+}
+
+/* check that a proof with empty n_used_inputs is invalid */
+static void test_no_used_inputs_verify(void) {
+    secp256k1_surjectionproof proof;
+    secp256k1_fixed_asset_tag fixed_input_tag;
+    secp256k1_fixed_asset_tag fixed_output_tag;
+    secp256k1_generator ephemeral_input_tags[1];
+    size_t n_ephemeral_input_tags = 1;
+    secp256k1_generator ephemeral_output_tag;
+    unsigned char blinding_key[32];
+    secp256k1_ge inputs[1];
+    secp256k1_ge output;
+    secp256k1_sha256 sha256_e0;
+    int result;
+
+    /* Create proof that doesn't use inputs. secp256k1_surjectionproof_initialize
+     * will not work here since it insists on selecting an input that matches the output. */
+    proof.n_inputs = 1;
+    memset(proof.used_inputs, 0, SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS / 8);
+
+    /* create different fixed input and output tags */
+    secp256k1_rand256(fixed_input_tag.data);
+    secp256k1_rand256(fixed_output_tag.data);
+
+    /* blind fixed output tags with random blinding key */
+    secp256k1_rand256(blinding_key);
+    CHECK(secp256k1_generator_generate_blinded(ctx, &ephemeral_input_tags[0], fixed_input_tag.data, blinding_key));
+    CHECK(secp256k1_generator_generate_blinded(ctx, &ephemeral_output_tag, fixed_output_tag.data, blinding_key));
+
+    /* create "borromean signature" which is just a hash of metadata (pubkeys, etc) in this case */
+    secp256k1_generator_load(&output, &ephemeral_output_tag);
+    secp256k1_generator_load(&inputs[0], &ephemeral_input_tags[0]);
+    secp256k1_surjection_genmessage(proof.data, inputs, 1, &output);
+    secp256k1_sha256_initialize(&sha256_e0);
+    secp256k1_sha256_write(&sha256_e0, proof.data, 32);
+    secp256k1_sha256_finalize(&sha256_e0, proof.data);
+
+    result = secp256k1_surjectionproof_verify(ctx, &proof, ephemeral_input_tags, n_ephemeral_input_tags, &ephemeral_output_tag);
+    CHECK(result == 0);
+}
+
+void test_bad_serialize(void) {
+    secp256k1_surjectionproof proof;
+    unsigned char serialized_proof[SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX];
+    size_t serialized_len;
+
+    proof.n_inputs = 0;
+    serialized_len = 2 + 31;
+    /* e0 is one byte too short */
+    CHECK(secp256k1_surjectionproof_serialize(ctx, serialized_proof, &serialized_len, &proof) == 0);
+}
+
+void test_bad_parse(void) {
+    secp256k1_surjectionproof proof;
+    unsigned char serialized_proof0[] = { 0x00 };
+    unsigned char serialized_proof1[] = { 0x01, 0x00 };
+    unsigned char serialized_proof2[33] = { 0 };
+
+    /* Missing total input count */
+    CHECK(secp256k1_surjectionproof_parse(ctx, &proof, serialized_proof0, sizeof(serialized_proof0)) == 0);
+    /* Missing bitmap */
+    CHECK(secp256k1_surjectionproof_parse(ctx, &proof, serialized_proof1, sizeof(serialized_proof1)) == 0);
+    /* Missing e0 value */
+    CHECK(secp256k1_surjectionproof_parse(ctx, &proof, serialized_proof2, sizeof(serialized_proof2)) == 0);
+}
+
+void run_surjection_tests(void) {
+    int i;
+    for (i = 0; i < count; i++) {
+        test_surjectionproof_api();
+    }
+
+    test_input_selection(0);
+    test_input_selection(1);
+    test_input_selection(5);
+    test_input_selection(100);
+    test_input_selection(SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS);
+
+    test_input_selection_distribution();
+    test_gen_verify(10, 3);
+    test_gen_verify(SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS, SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS);
+    test_no_used_inputs_verify();
+    test_bad_serialize();
+    test_bad_parse();
+}
+
+#endif

src/secp256k1/src/modules/whitelist/Makefile.am.include

@@ -0,0 +1,10 @@
+include_HEADERS += include/secp256k1_whitelist.h
+noinst_HEADERS += src/modules/whitelist/whitelist_impl.h
+noinst_HEADERS += src/modules/whitelist/main_impl.h
+noinst_HEADERS += src/modules/whitelist/tests_impl.h
+if USE_BENCHMARK
+noinst_PROGRAMS += bench_whitelist
+bench_whitelist_SOURCES = src/bench_whitelist.c
+bench_whitelist_LDADD = libsecp256k1.la $(SECP_LIBS)
+bench_generator_LDFLAGS = -static
+endif

src/secp256k1/src/modules/whitelist/main_impl.h

@@ -0,0 +1,174 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_WHITELIST_MAIN
+#define SECP256K1_MODULE_WHITELIST_MAIN
+
+#include "include/secp256k1_whitelist.h"
+#include "modules/whitelist/whitelist_impl.h"
+
+#define MAX_KEYS SECP256K1_WHITELIST_MAX_N_KEYS  /* shorter alias */
+
+int secp256k1_whitelist_sign(const secp256k1_context* ctx, secp256k1_whitelist_signature *sig, const secp256k1_pubkey *online_pubkeys, const secp256k1_pubkey *offline_pubkeys, const size_t n_keys, const secp256k1_pubkey *sub_pubkey, const unsigned char *online_seckey, const unsigned char *summed_seckey, const size_t index, secp256k1_nonce_function noncefp, const void *noncedata) {
+    secp256k1_gej pubs[MAX_KEYS];
+    secp256k1_scalar s[MAX_KEYS];
+    secp256k1_scalar sec, non;
+    unsigned char msg32[32];
+    int ret;
+
+    if (noncefp == NULL) {
+        noncefp = secp256k1_nonce_function_default;
+    }
+
+    /* Sanity checks */
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
+    ARG_CHECK(sig != NULL);
+    ARG_CHECK(online_pubkeys != NULL);
+    ARG_CHECK(offline_pubkeys != NULL);
+    ARG_CHECK(n_keys <= MAX_KEYS);
+    ARG_CHECK(sub_pubkey != NULL);
+    ARG_CHECK(online_seckey != NULL);
+    ARG_CHECK(summed_seckey != NULL);
+    ARG_CHECK(index < n_keys);
+
+    /* Compute pubkeys: online_pubkey + tweaked(offline_pubkey + address), and message */
+    ret = secp256k1_whitelist_compute_keys_and_message(ctx, msg32, pubs, online_pubkeys, offline_pubkeys, n_keys, sub_pubkey);
+
+    /* Compute signing key: online_seckey + tweaked(summed_seckey) */
+    if (ret) {
+        ret = secp256k1_whitelist_compute_tweaked_privkey(ctx, &sec, online_seckey, summed_seckey);
+    }
+    /* Compute nonce and random s-values */
+    if (ret) {
+        unsigned char seckey32[32];
+        unsigned int count = 0;
+        int overflow = 0;
+
+        secp256k1_scalar_get_b32(seckey32, &sec);
+        while (1) {
+            size_t i;
+            unsigned char nonce32[32];
+            int done;
+            ret = noncefp(nonce32, msg32, seckey32, 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)) {
+                count++;
+                continue;
+            }
+            done = 1;
+            for (i = 0; i < n_keys; i++) {
+                msg32[0] ^= i + 1;
+                msg32[1] ^= (i + 1) / 0x100;
+                ret = noncefp(&sig->data[32 * (i + 1)], msg32, seckey32, NULL, (void*)noncedata, count);
+                if (!ret) {
+                    break;
+                }
+                secp256k1_scalar_set_b32(&s[i], &sig->data[32 * (i + 1)], &overflow);
+                msg32[0] ^= i + 1;
+                msg32[1] ^= (i + 1) / 0x100;
+                if (overflow || secp256k1_scalar_is_zero(&s[i])) {
+                    count++;
+                    done = 0;
+                    break;
+                }
+            }
+            if (done) {
+                break;
+            }
+        }
+        memset(seckey32, 0, 32);
+    }
+    /* Actually sign */
+    if (ret) {
+        sig->n_keys = n_keys;
+        ret = secp256k1_borromean_sign(&ctx->ecmult_ctx, &ctx->ecmult_gen_ctx, &sig->data[0], s, pubs, &non, &sec, &n_keys, &index, 1, msg32, 32);
+        /* Signing will change s[index], so update in the sig structure */
+        secp256k1_scalar_get_b32(&sig->data[32 * (index + 1)], &s[index]);
+    }
+
+    secp256k1_scalar_clear(&non);
+    secp256k1_scalar_clear(&sec);
+    return ret;
+}
+
+int secp256k1_whitelist_verify(const secp256k1_context* ctx, const secp256k1_whitelist_signature *sig, const secp256k1_pubkey *online_pubkeys, const secp256k1_pubkey *offline_pubkeys, const size_t n_keys, const secp256k1_pubkey *sub_pubkey) {
+    secp256k1_scalar s[MAX_KEYS];
+    secp256k1_gej pubs[MAX_KEYS];
+    unsigned char msg32[32];
+    size_t i;
+
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
+    ARG_CHECK(sig != NULL);
+    ARG_CHECK(online_pubkeys != NULL);
+    ARG_CHECK(offline_pubkeys != NULL);
+    ARG_CHECK(sub_pubkey != NULL);
+
+    if (sig->n_keys > MAX_KEYS || sig->n_keys != n_keys) {
+        return 0;
+    }
+    for (i = 0; i < sig->n_keys; i++) {
+        int overflow = 0;
+        secp256k1_scalar_set_b32(&s[i], &sig->data[32 * (i + 1)], &overflow);
+        if (overflow || secp256k1_scalar_is_zero(&s[i])) {
+            return 0;
+        }
+    }
+
+    /* Compute pubkeys: online_pubkey + tweaked(offline_pubkey + address), and message */
+    if (!secp256k1_whitelist_compute_keys_and_message(ctx, msg32, pubs, online_pubkeys, offline_pubkeys, sig->n_keys, sub_pubkey)) {
+        return 0;
+    }
+    /* Do verification */
+    return secp256k1_borromean_verify(&ctx->ecmult_ctx, NULL, &sig->data[0], s, pubs, &sig->n_keys, 1, msg32, 32);
+}
+
+size_t secp256k1_whitelist_signature_n_keys(const secp256k1_whitelist_signature *sig) {
+    return sig->n_keys;
+}
+
+int secp256k1_whitelist_signature_parse(const secp256k1_context* ctx, secp256k1_whitelist_signature *sig, const unsigned char *input, size_t input_len) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(sig != NULL);
+    ARG_CHECK(input != NULL);
+
+    if (input_len == 0) {
+        return 0;
+    }
+
+    sig->n_keys = input[0];
+    if (sig->n_keys >= MAX_KEYS || input_len != 1 + 32 * (sig->n_keys + 1)) {
+        return 0;
+    }
+    memcpy(&sig->data[0], &input[1], 32 * (sig->n_keys + 1));
+
+    return 1;
+}
+
+int secp256k1_whitelist_signature_serialize(const secp256k1_context* ctx, unsigned char *output, size_t *output_len, const secp256k1_whitelist_signature *sig) {
+    VERIFY_CHECK(ctx != NULL);
+    ARG_CHECK(output != NULL);
+    ARG_CHECK(output_len != NULL);
+    ARG_CHECK(sig != NULL);
+
+    if (*output_len < 1 + 32 * (sig->n_keys + 1)) {
+        return 0;
+    }
+
+    output[0] = sig->n_keys;
+    memcpy(&output[1], &sig->data[0], 32 * (sig->n_keys + 1));
+    *output_len = 1 + 32 * (sig->n_keys + 1);
+
+    return 1;
+}
+
+#endif

src/secp256k1/src/modules/whitelist/tests_impl.h

@@ -0,0 +1,151 @@
+/**********************************************************************
+ * Copyright (c) 2014-2016 Pieter Wuille, Andrew Poelstra             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODULE_WHITELIST_TESTS
+#define SECP256K1_MODULE_WHITELIST_TESTS
+
+#include "include/secp256k1_whitelist.h"
+
+void test_whitelist_end_to_end(const size_t n_keys) {
+    unsigned char **online_seckey = (unsigned char **) malloc(n_keys * sizeof(*online_seckey));
+    unsigned char **summed_seckey = (unsigned char **) malloc(n_keys * sizeof(*summed_seckey));
+    secp256k1_pubkey *online_pubkeys = (secp256k1_pubkey *) malloc(n_keys * sizeof(*online_pubkeys));
+    secp256k1_pubkey *offline_pubkeys = (secp256k1_pubkey *) malloc(n_keys * sizeof(*offline_pubkeys));
+
+    secp256k1_scalar ssub;
+    unsigned char csub[32];
+    secp256k1_pubkey sub_pubkey;
+
+    /* Generate random keys */
+    size_t i;
+    /* Start with subkey */
+    random_scalar_order_test(&ssub);
+    secp256k1_scalar_get_b32(csub, &ssub);
+    CHECK(secp256k1_ec_seckey_verify(ctx, csub) == 1);
+    CHECK(secp256k1_ec_pubkey_create(ctx, &sub_pubkey, csub) == 1);
+    /* Then offline and online whitelist keys */
+    for (i = 0; i < n_keys; i++) {
+        secp256k1_scalar son, soff;
+
+        online_seckey[i] = (unsigned char *) malloc(32);
+        summed_seckey[i] = (unsigned char *) malloc(32);
+
+        /* Create two keys */
+        random_scalar_order_test(&son);
+        secp256k1_scalar_get_b32(online_seckey[i], &son);
+        CHECK(secp256k1_ec_seckey_verify(ctx, online_seckey[i]) == 1);
+        CHECK(secp256k1_ec_pubkey_create(ctx, &online_pubkeys[i], online_seckey[i]) == 1);
+
+        random_scalar_order_test(&soff);
+        secp256k1_scalar_get_b32(summed_seckey[i], &soff);
+        CHECK(secp256k1_ec_seckey_verify(ctx, summed_seckey[i]) == 1);
+        CHECK(secp256k1_ec_pubkey_create(ctx, &offline_pubkeys[i], summed_seckey[i]) == 1);
+
+        /* Make summed_seckey correspond to the sum of offline_pubkey and sub_pubkey */
+        secp256k1_scalar_add(&soff, &soff, &ssub);
+        secp256k1_scalar_get_b32(summed_seckey[i], &soff);
+        CHECK(secp256k1_ec_seckey_verify(ctx, summed_seckey[i]) == 1);
+    }
+
+    /* Sign/verify with each one */
+    for (i = 0; i < n_keys; i++) {
+        unsigned char serialized[32 + 4 + 32 * SECP256K1_WHITELIST_MAX_N_KEYS] = {0};
+        size_t slen = sizeof(serialized);
+        secp256k1_whitelist_signature sig;
+        secp256k1_whitelist_signature sig1;
+
+        CHECK(secp256k1_whitelist_sign(ctx, &sig, online_pubkeys, offline_pubkeys, n_keys, &sub_pubkey, online_seckey[i], summed_seckey[i], i, NULL, NULL));
+        CHECK(secp256k1_whitelist_verify(ctx, &sig, online_pubkeys, offline_pubkeys, n_keys, &sub_pubkey) == 1);
+        /* Check that exchanging keys causes a failure */
+        CHECK(secp256k1_whitelist_verify(ctx, &sig, offline_pubkeys, online_pubkeys, n_keys, &sub_pubkey) != 1);
+        /* Serialization round trip */
+        CHECK(secp256k1_whitelist_signature_serialize(ctx, serialized, &slen, &sig) == 1);
+        CHECK(slen == 33 + 32 * n_keys);
+        CHECK(secp256k1_whitelist_signature_parse(ctx, &sig1, serialized, slen) == 1);
+        /* (Check various bad-length conditions) */
+        CHECK(secp256k1_whitelist_signature_parse(ctx, &sig1, serialized, slen + 32) == 0);
+        CHECK(secp256k1_whitelist_signature_parse(ctx, &sig1, serialized, slen + 1) == 0);
+        CHECK(secp256k1_whitelist_signature_parse(ctx, &sig1, serialized, slen - 1) == 0);
+        CHECK(secp256k1_whitelist_signature_parse(ctx, &sig1, serialized, 0) == 0);
+        CHECK(secp256k1_whitelist_verify(ctx, &sig1, online_pubkeys, offline_pubkeys, n_keys, &sub_pubkey) == 1);
+        CHECK(secp256k1_whitelist_verify(ctx, &sig1, offline_pubkeys, online_pubkeys, n_keys, &sub_pubkey) != 1);
+
+        /* Test n_keys */
+        CHECK(secp256k1_whitelist_signature_n_keys(&sig) == n_keys);
+        CHECK(secp256k1_whitelist_signature_n_keys(&sig1) == n_keys);
+
+        /* Test bad number of keys in signature */
+        sig.n_keys = n_keys + 1;
+        CHECK(secp256k1_whitelist_verify(ctx, &sig, offline_pubkeys, online_pubkeys, n_keys, &sub_pubkey) != 1);
+        sig.n_keys = n_keys;
+    }
+
+    for (i = 0; i < n_keys; i++) {
+        free(online_seckey[i]);
+        free(summed_seckey[i]);
+    }
+    free(online_seckey);
+    free(summed_seckey);
+    free(online_pubkeys);
+    free(offline_pubkeys);
+}
+
+void test_whitelist_bad_parse(void) {
+    secp256k1_whitelist_signature sig;
+
+    const unsigned char serialized0[] = { 1+32*(0+1) };
+    const unsigned char serialized1[] = {
+        0x00,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06
+    };
+    const unsigned char serialized2[] = {
+        0x01,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07
+    };
+
+    /* Empty input */
+    CHECK(secp256k1_whitelist_signature_parse(ctx, &sig, serialized0, 0) == 0);
+    /* Misses one byte of e0 */
+    CHECK(secp256k1_whitelist_signature_parse(ctx, &sig, serialized1, sizeof(serialized1)) == 0);
+    /* Enough bytes for e0, but there is no s value */
+    CHECK(secp256k1_whitelist_signature_parse(ctx, &sig, serialized2, sizeof(serialized2)) == 0);
+}
+
+void test_whitelist_bad_serialize(void) {
+    unsigned char serialized[] = {
+        0x00,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
+        0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07
+    };
+    size_t serialized_len;
+    secp256k1_whitelist_signature sig;
+
+    CHECK(secp256k1_whitelist_signature_parse(ctx, &sig, serialized, sizeof(serialized)) == 1);
+    serialized_len = sizeof(serialized) - 1;
+    /* Output buffer is one byte too short */
+    CHECK(secp256k1_whitelist_signature_serialize(ctx, serialized, &serialized_len, &sig) == 0);
+}
+
+void run_whitelist_tests(void) {
+    int i;
+    test_whitelist_bad_parse();
+    test_whitelist_bad_serialize();
+    for (i = 0; i < count; i++) {
+        test_whitelist_end_to_end(1);
+        test_whitelist_end_to_end(10);
+        test_whitelist_end_to_end(50);
+    }
+}
+
+#endif

src/secp256k1/src/modules/whitelist/whitelist.md

@@ -0,0 +1,105 @@
+Address Whitelisting Module
+===========================
+
+This module implements a scheme by which members of some group, having fixed
+signing keys, can prove control of an arbitrary other key without associating
+their own identity (only that they belong to the group) to the new key. The
+application is to patch ring-signature-like behaviour onto systems such as
+Bitcoin or PGP which do not directly support this.
+
+We refer to such delegation as "whitelisting" because we expect it to be used
+to build a dynamic whitelist of authorized keys.
+
+For example, imagine a private sidechain with a fixed membership set but
+stronger privacy properties than Bitcoin. When moving coins from this system
+to Bitcoin, it is desirable that the destination Bitcoin addresses be provably
+in control of some user of the sidechain. This prevents malicious or erroneous
+behaviour on the sidechain, which can likely be resolved by its participants,
+from translating to theft on the wider Bitcoin network, which is irreversible.
+
+### Unused Schemes and Design Rationale
+
+#### Direct Signing
+
+An obvious scheme for such delegation is to simply have participants sign the
+key they want to whitelist. To avoid revealing their specific identity, they
+could use a ring signature. The problem with this is that it really only proves
+that a participant *signed off* on a key, not that they control it. Thus any
+security failure that allows text substitution could be used to subvert this
+and redirect coins to an attacker-controlled address.
+
+#### Signing with Difference-of-Keys
+
+A less obvious scheme is to have a participant sign an arbitrary message with
+the sum of her key `P` and the whitelisted key `W`. Such a signature with the key
+`P + W` proves knowledge of either (a) discrete logarithms of both `P` and `W`;
+or (b) neither. This makes directly attacking participants' signing schemes much
+harder, but allows an attacker to whitelist arbitrary "garbage" keys by computing
+`W` as the difference between an attacker-controlled key and `P`. For Bitcoin,
+the effect of garbage keys is to "burn" stolen coins, destroying them.
+
+In an important sense, this "burning coins" attack is a good thing: it enables
+*offline delegation*. That is, the key `P` does not need to be available at the
+time of delegation. Instead, participants could choose `S = P + W`, sign with
+this to delegate, and only later compute the discrete logarithm of `W = P - S`.
+This allows `P` to be in cold storage or be otherwise inaccessible, improving
+the overall system security.
+
+#### Signing with Tweaked-Difference-of-Keys
+
+A modification of this scheme, which prevents this "garbage key" attack, is to
+instead have participants sign some message with the key `P + H(W)W`, for `H`
+some random-oracle hash that maps group elements to scalars. This key, and its
+discrete logarithm, cannot be known until after `W` is chosen, so `W` cannot
+be selected as the difference between it and `P`. (Note that `P` could still
+be some chosen difference; however `P` is a fixed key and must be verified
+out-of-band to have come from a legitimate participant anyway.)
+
+This scheme is almost what we want, but it no longer supports offline
+delegation. However, we can get this back by introducing a new key, `P'`,
+and signing with the key `P + H(W + P')(W + P')`. This gives us the best
+of both worlds: `P'` does not need to be online to delegate, allowing it
+to be securely stored and preventing real-time attacks; `P` does need to
+be online, but its compromise only allows an attacker to whitelist "garbage
+keys", not attacker-controlled ones.
+
+### Our Scheme
+
+Our scheme works as follows: each participant `i` chooses two keys, `P_i` and `Q_i`.
+We refer to `P_i` as the "online key" and `Q_i` as the "offline key". To whitelist
+a key `W`, the participant computes the key `L_j = P_j + H(W + Q_j)(W + Q_j)` for
+every participant `j`. Then she will know the discrete logarithm of `L_i` for her
+own `i`.
+
+Next, she signs a message containing every `P_i` and `Q_i` as well as `W` with
+a ring signature over all the keys `L_j`. This proves that she knows the discrete
+logarithm of some `L_i` (though it is zero-knowledge which one), and therefore
+knows:
+1. The discrete logarithms of all of `W`, `P_i` and `Q_i`; or
+2. The discrete logarithm of `P_i` but of *neither* `W` nor `Q_i`.
+In other words, compromise of the online key `P_i` allows an attacker to whitelist
+"garbage keys" for which nobody knows the discrete logarithm; to whitelist an
+attacker-controlled key, he must compromise both `P_i` and `Q_i`. This is difficult
+because by design, only the sum `S = W + Q_i` is used when signing; then by choosing
+`S` freely, a participant can delegate without the secret key to `Q_i` ever being online.
+(Later, when she wants to actually use `W`, she will need to compute its key as the
+difference between `S` and `Q_i`; but this can be done offline and much later
+and with more expensive security requirements.)
+
+The message to be signed contains all public keys to prevent a class of attacks
+centered around choosing keys to match pre-computed signatures. In our proposed
+use case, whitelisted keys already must be computed before they are signed, and
+the remaining public keys are verified out-of-band when setting up the system,
+so there is no direct benefit to this. We do it only to reduce fragility and
+increase safety of unforeseen uses.
+
+Having to access the offline key `Q_i` to compute the secret to the sum `W +
+Q_i` for every authorization is onerous.  Instead, if the whitelisted keys are
+created using
+[BIP32](https://github.com/bitcoin/bips/blob/master/bip-0032.mediawiki)
+unhardened derivation, the sum can be computed on an online machine. In order
+to achieve that, the offline key `Q_j` is set to the negated last hardened
+BIP32 derived parent key (typically, the public key corresponding to the xpub).
+As a result `W + Q_i = I_L*G` where `I_L` is the public tweak used
+to derive `W` and can be easily computed online using the extended public key
+and the derivation path.

src/secp256k1/src/modules/whitelist/whitelist_impl.h

@@ -0,0 +1,129 @@
+/**********************************************************************
+ * 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.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_WHITELIST_IMPL_H_
+#define _SECP256K1_WHITELIST_IMPL_H_
+
+static int secp256k1_whitelist_hash_pubkey(secp256k1_scalar* output, secp256k1_gej* pubkey) {
+    unsigned char h[32];
+    unsigned char c[33];
+    secp256k1_sha256 sha;
+    int overflow = 0;
+    size_t size = 33;
+    secp256k1_ge ge;
+
+    secp256k1_ge_set_gej(&ge, pubkey);
+
+    secp256k1_sha256_initialize(&sha);
+    if (!secp256k1_eckey_pubkey_serialize(&ge, c, &size, SECP256K1_EC_COMPRESSED)) {
+        return 0;
+    }
+    secp256k1_sha256_write(&sha, c, size);
+    secp256k1_sha256_finalize(&sha, h);
+
+    secp256k1_scalar_set_b32(output, h, &overflow);
+    if (overflow || secp256k1_scalar_is_zero(output)) {
+        /* This return path is mathematically impossible to hit */
+        secp256k1_scalar_clear(output);
+        return 0;
+    }
+    return 1;
+}
+
+static int secp256k1_whitelist_tweak_pubkey(const secp256k1_context* ctx, secp256k1_gej* pub_tweaked) {
+    secp256k1_scalar tweak;
+    secp256k1_scalar zero;
+    int ret;
+
+    secp256k1_scalar_set_int(&zero, 0);
+
+    ret = secp256k1_whitelist_hash_pubkey(&tweak, pub_tweaked);
+    if (ret) {
+        secp256k1_ecmult(&ctx->ecmult_ctx, pub_tweaked, pub_tweaked, &tweak, &zero);
+    }
+    return ret;
+}
+
+static int secp256k1_whitelist_compute_tweaked_privkey(const secp256k1_context* ctx, secp256k1_scalar* skey, const unsigned char *online_key, const unsigned char *summed_key) {
+    secp256k1_scalar tweak;
+    int ret = 1;
+    int overflow = 0;
+
+    secp256k1_scalar_set_b32(skey, summed_key, &overflow);
+    if (overflow || secp256k1_scalar_is_zero(skey)) {
+        ret = 0;
+    }
+    if (ret) {
+        secp256k1_gej pkeyj;
+        secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pkeyj, skey);
+        ret = secp256k1_whitelist_hash_pubkey(&tweak, &pkeyj);
+    }
+    if (ret) {
+        secp256k1_scalar sonline;
+        secp256k1_scalar_mul(skey, skey, &tweak);
+
+        secp256k1_scalar_set_b32(&sonline, online_key, &overflow);
+        if (overflow || secp256k1_scalar_is_zero(&sonline)) {
+            ret = 0;
+        }
+        secp256k1_scalar_add(skey, skey, &sonline);
+        secp256k1_scalar_clear(&sonline);
+        secp256k1_scalar_clear(&tweak);
+    }
+
+    if (!ret) {
+        secp256k1_scalar_clear(skey);
+    }
+    return ret;
+}
+
+/* Takes a list of pubkeys and combines them to form the public keys needed
+ * for the ring signature; also produce a commitment to every one that will
+ * be our "message". */
+static int secp256k1_whitelist_compute_keys_and_message(const secp256k1_context* ctx, unsigned char *msg32, secp256k1_gej *keys, const secp256k1_pubkey *online_pubkeys, const secp256k1_pubkey *offline_pubkeys, const int n_keys, const secp256k1_pubkey *sub_pubkey) {
+    unsigned char c[33];
+    size_t size = 33;
+    secp256k1_sha256 sha;
+    int i;
+    secp256k1_ge subkey_ge;
+
+    secp256k1_sha256_initialize(&sha);
+    secp256k1_pubkey_load(ctx, &subkey_ge, sub_pubkey);
+
+    /* commit to sub-key */
+    if (!secp256k1_eckey_pubkey_serialize(&subkey_ge, c, &size, SECP256K1_EC_COMPRESSED)) {
+        return 0;
+    }
+    secp256k1_sha256_write(&sha, c, size);
+    for (i = 0; i < n_keys; i++) {
+        secp256k1_ge offline_ge;
+        secp256k1_ge online_ge;
+        secp256k1_gej tweaked_gej;
+
+        /* commit to fixed keys */
+        secp256k1_pubkey_load(ctx, &offline_ge, &offline_pubkeys[i]);
+        if (!secp256k1_eckey_pubkey_serialize(&offline_ge, c, &size, SECP256K1_EC_COMPRESSED)) {
+            return 0;
+        }
+        secp256k1_sha256_write(&sha, c, size);
+        secp256k1_pubkey_load(ctx, &online_ge, &online_pubkeys[i]);
+        if (!secp256k1_eckey_pubkey_serialize(&online_ge, c, &size, SECP256K1_EC_COMPRESSED)) {
+            return 0;
+        }
+        secp256k1_sha256_write(&sha, c, size);
+
+        /* compute tweaked keys */
+        secp256k1_gej_set_ge(&tweaked_gej, &offline_ge);
+        secp256k1_gej_add_ge_var(&tweaked_gej, &tweaked_gej, &subkey_ge, NULL);
+        secp256k1_whitelist_tweak_pubkey(ctx, &tweaked_gej);
+        secp256k1_gej_add_ge_var(&keys[i], &tweaked_gej, &online_ge, NULL);
+    }
+    secp256k1_sha256_finalize(&sha, msg32);
+    return 1;
+}
+
+
+#endif

src/secp256k1/src/scalar.h

@@ -38,6 +38,9 @@ static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b
 /** Set a scalar to an unsigned integer. */
 static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v);
 
+/** Set a scalar to an unsigned 64-bit integer */
+static void secp256k1_scalar_set_u64(secp256k1_scalar *r, uint64_t v);
+
 /** Convert a scalar to a byte array. */
 static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a);
 

src/secp256k1/src/scalar_4x64_impl.h

@@ -7,6 +7,8 @@
 #ifndef SECP256K1_SCALAR_REPR_IMPL_H
 #define SECP256K1_SCALAR_REPR_IMPL_H
 
+#include "scalar.h"
+
 /* Limbs of the secp256k1 order. */
 #define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL)
 #define SECP256K1_N_1 ((uint64_t)0xBAAEDCE6AF48A03BULL)
@@ -38,6 +40,13 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsig
     r->d[3] = 0;
 }
 
+SECP256K1_INLINE static void secp256k1_scalar_set_u64(secp256k1_scalar *r, uint64_t v) {
+    r->d[0] = v;
+    r->d[1] = 0;
+    r->d[2] = 0;
+    r->d[3] = 0;
+}
+
 SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
     VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6);
     return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1);

src/secp256k1/src/scalar_8x32_impl.h

@@ -56,6 +56,17 @@ SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsig
     r->d[7] = 0;
 }
 
+SECP256K1_INLINE static void secp256k1_scalar_set_u64(secp256k1_scalar *r, uint64_t v) {
+    r->d[0] = v;
+    r->d[1] = v >> 32;
+    r->d[2] = 0;
+    r->d[3] = 0;
+    r->d[4] = 0;
+    r->d[5] = 0;
+    r->d[6] = 0;
+    r->d[7] = 0;
+}
+
 SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
     VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5);
     return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1);

src/secp256k1/src/scalar_low_impl.h

@@ -17,6 +17,7 @@ SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a)
 
 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 void secp256k1_scalar_set_u64(secp256k1_scalar *r, uint64_t v) { *r = v % EXHAUSTIVE_TEST_ORDER; }
 
 SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
     if (offset < 32)

src/secp256k1/src/scratch.h

@@ -0,0 +1,39 @@
+/**********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra	                              *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_SCRATCH_
+#define _SECP256K1_SCRATCH_
+
+#define SECP256K1_SCRATCH_MAX_FRAMES	5
+
+/* The typedef is used internally; the struct name is used in the public API
+ * (where it is exposed as a different typedef) */
+typedef struct secp256k1_scratch_space_struct {
+    void *data[SECP256K1_SCRATCH_MAX_FRAMES];
+    size_t offset[SECP256K1_SCRATCH_MAX_FRAMES];
+    size_t frame_size[SECP256K1_SCRATCH_MAX_FRAMES];
+    size_t frame;
+    size_t max_size;
+    const secp256k1_callback* error_callback;
+} secp256k1_scratch;
+
+static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t max_size);
+
+static void secp256k1_scratch_destroy(secp256k1_scratch* scratch);
+
+/** Attempts to allocate a new stack frame with `n` available bytes. Returns 1 on success, 0 on failure */
+static int secp256k1_scratch_allocate_frame(secp256k1_scratch* scratch, size_t n, size_t objects);
+
+/** Deallocates a stack frame */
+static void secp256k1_scratch_deallocate_frame(secp256k1_scratch* scratch);
+
+/** Returns the maximum allocation the scratch space will allow */
+static size_t secp256k1_scratch_max_allocation(const secp256k1_scratch* scratch, size_t n_objects);
+
+/** Returns a pointer into the most recently allocated frame, or NULL if there is insufficient available space */
+static void *secp256k1_scratch_alloc(secp256k1_scratch* scratch, size_t n);
+
+#endif

src/secp256k1/src/scratch_impl.h

@@ -0,0 +1,86 @@
+/**********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _SECP256K1_SCRATCH_IMPL_H_
+#define _SECP256K1_SCRATCH_IMPL_H_
+
+#include "scratch.h"
+
+/* Using 16 bytes alignment because common architectures never have alignment
+ * requirements above 8 for any of the types we care about. In addition we
+ * leave some room because currently we don't care about a few bytes.
+ * TODO: Determine this at configure time. */
+#define ALIGNMENT 16
+
+static secp256k1_scratch* secp256k1_scratch_create(const secp256k1_callback* error_callback, size_t max_size) {
+    secp256k1_scratch* ret = (secp256k1_scratch*)checked_malloc(error_callback, sizeof(*ret));
+    if (ret != NULL) {
+        memset(ret, 0, sizeof(*ret));
+        ret->max_size = max_size;
+        ret->error_callback = error_callback;
+    }
+    return ret;
+}
+
+static void secp256k1_scratch_destroy(secp256k1_scratch* scratch) {
+    if (scratch != NULL) {
+        VERIFY_CHECK(scratch->frame == 0);
+        free(scratch);
+    }
+}
+
+static size_t secp256k1_scratch_max_allocation(const secp256k1_scratch* scratch, size_t objects) {
+    size_t i = 0;
+    size_t allocated = 0;
+    for (i = 0; i < scratch->frame; i++) {
+        allocated += scratch->frame_size[i];
+    }
+    if (scratch->max_size - allocated <= objects * ALIGNMENT) {
+        return 0;
+    }
+    return scratch->max_size - allocated - objects * ALIGNMENT;
+}
+
+static int secp256k1_scratch_allocate_frame(secp256k1_scratch* scratch, size_t n, size_t objects) {
+    VERIFY_CHECK(scratch->frame < SECP256K1_SCRATCH_MAX_FRAMES);
+
+    if (n <= secp256k1_scratch_max_allocation(scratch, objects)) {
+        n += objects * ALIGNMENT;
+        scratch->data[scratch->frame] = checked_malloc(scratch->error_callback, n);
+        if (scratch->data[scratch->frame] == NULL) {
+            return 0;
+        }
+        scratch->frame_size[scratch->frame] = n;
+        scratch->offset[scratch->frame] = 0;
+        scratch->frame++;
+        return 1;
+    } else {
+        return 0;
+    }
+}
+
+static void secp256k1_scratch_deallocate_frame(secp256k1_scratch* scratch) {
+    VERIFY_CHECK(scratch->frame > 0);
+    scratch->frame -= 1;
+    free(scratch->data[scratch->frame]);
+}
+
+static void *secp256k1_scratch_alloc(secp256k1_scratch* scratch, size_t size) {
+    void *ret;
+    size_t frame = scratch->frame - 1;
+    size = ((size + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT;
+
+    if (scratch->frame == 0 || size + scratch->offset[frame] > scratch->frame_size[frame]) {
+        return NULL;
+    }
+    ret = (void *) ((unsigned char *) scratch->data[frame] + scratch->offset[frame]);
+    memset(ret, 0, size);
+    scratch->offset[frame] += size;
+
+    return ret;
+}
+
+#endif

src/secp256k1/src/secp256k1.c

@@ -17,6 +17,17 @@
 #include "ecdsa_impl.h"
 #include "eckey_impl.h"
 #include "hash_impl.h"
+#include "scratch_impl.h"
+
+#ifdef ENABLE_MODULE_GENERATOR
+# include "include/secp256k1_generator.h"
+#endif
+
+#ifdef ENABLE_MODULE_RANGEPROOF
+# include "include/secp256k1_rangeproof.h"
+# include "modules/rangeproof/pedersen.h"
+# include "modules/rangeproof/rangeproof.h"
+#endif
 
 #define ARG_CHECK(cond) do { \
     if (EXPECT(!(cond), 0)) { \
@@ -55,6 +66,14 @@ struct secp256k1_context_struct {
     secp256k1_callback error_callback;
 };
 
+static const secp256k1_context secp256k1_context_no_precomp_ = {
+    { 0 },
+    { 0 },
+    { default_illegal_callback_fn, 0 },
+    { default_error_callback_fn, 0 }
+};
+const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_no_precomp_;
+
 secp256k1_context* secp256k1_context_create(unsigned int flags) {
     secp256k1_context* ret = (secp256k1_context*)checked_malloc(&default_error_callback, sizeof(secp256k1_context));
     ret->illegal_callback = default_illegal_callback;
@@ -90,6 +109,7 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) {
 }
 
 void secp256k1_context_destroy(secp256k1_context* ctx) {
+    CHECK(ctx != secp256k1_context_no_precomp);
     if (ctx != NULL) {
         secp256k1_ecmult_context_clear(&ctx->ecmult_ctx);
         secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx);
@@ -99,6 +119,7 @@ void secp256k1_context_destroy(secp256k1_context* ctx) {
 }
 
 void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+    CHECK(ctx != secp256k1_context_no_precomp);
     if (fun == NULL) {
         fun = default_illegal_callback_fn;
     }
@@ -107,6 +128,7 @@ void secp256k1_context_set_illegal_callback(secp256k1_context* ctx, void (*fun)(
 }
 
 void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(const char* message, void* data), const void* data) {
+    CHECK(ctx != secp256k1_context_no_precomp);
     if (fun == NULL) {
         fun = default_error_callback_fn;
     }
@@ -114,13 +136,22 @@ void secp256k1_context_set_error_callback(secp256k1_context* ctx, void (*fun)(co
     ctx->error_callback.data = data;
 }
 
+secp256k1_scratch_space* secp256k1_scratch_space_create(const secp256k1_context* ctx, size_t max_size) {
+    VERIFY_CHECK(ctx != NULL);
+    return secp256k1_scratch_create(&ctx->error_callback, max_size);
+}
+
+void secp256k1_scratch_space_destroy(secp256k1_scratch_space* scratch) {
+    secp256k1_scratch_destroy(scratch);
+}
+
 static int secp256k1_pubkey_load(const secp256k1_context* ctx, secp256k1_ge* ge, const secp256k1_pubkey* pubkey) {
     if (sizeof(secp256k1_ge_storage) == 64) {
         /* When the secp256k1_ge_storage type is exactly 64 byte, use its
          * representation inside secp256k1_pubkey, as conversion is very fast.
          * Note that secp256k1_pubkey_save must use the same representation. */
         secp256k1_ge_storage s;
-        memcpy(&s, &pubkey->data[0], 64);
+        memcpy(&s, &pubkey->data[0], sizeof(s));
         secp256k1_ge_from_storage(ge, &s);
     } else {
         /* Otherwise, fall back to 32-byte big endian for X and Y. */
@@ -137,7 +168,7 @@ static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) {
     if (sizeof(secp256k1_ge_storage) == 64) {
         secp256k1_ge_storage s;
         secp256k1_ge_to_storage(&s, ge);
-        memcpy(&pubkey->data[0], &s, 64);
+        memcpy(&pubkey->data[0], &s, sizeof(s));
     } else {
         VERIFY_CHECK(!secp256k1_ge_is_infinity(ge));
         secp256k1_fe_normalize_var(&ge->x);
@@ -307,10 +338,15 @@ int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_s
             secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m));
 }
 
+static SECP256K1_INLINE void buffer_append(unsigned char *buf, unsigned int *offset, const void *data, unsigned int len) {
+    memcpy(buf + *offset, data, len);
+    *offset += len;
+}
+
 static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *algo16, void *data, unsigned int counter) {
    unsigned char keydata[112];
-   int keylen = 64;
-   secp256k1_rfc6979_hmac_sha256_t rng;
+   unsigned int offset = 0;
+   secp256k1_rfc6979_hmac_sha256 rng;
    unsigned int i;
    /* 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.
@@ -320,17 +356,15 @@ static int nonce_function_rfc6979(unsigned char *nonce32, const unsigned char *m
     *  different argument mixtures to emulate each other and result in the same
     *  nonces.
     */
-   memcpy(keydata, key32, 32);
-   memcpy(keydata + 32, msg32, 32);
+   buffer_append(keydata, &offset, key32, 32);
+   buffer_append(keydata, &offset, msg32, 32);
    if (data != NULL) {
-       memcpy(keydata + 64, data, 32);
-       keylen = 96;
+       buffer_append(keydata, &offset, data, 32);
    }
    if (algo16 != NULL) {
-       memcpy(keydata + keylen, algo16, 16);
-       keylen += 16;
+       buffer_append(keydata, &offset, algo16, 16);
    }
-   secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, keylen);
+   secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, offset);
    memset(keydata, 0, sizeof(keydata));
    for (i = 0; i <= counter; i++) {
        secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
@@ -546,6 +580,7 @@ int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey
 
 int secp256k1_context_randomize(secp256k1_context* ctx, const unsigned char *seed32) {
     VERIFY_CHECK(ctx != NULL);
+    CHECK(ctx != secp256k1_context_no_precomp);
     ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
     secp256k1_ecmult_gen_blind(&ctx->ecmult_gen_ctx, seed32);
     return 1;
@@ -582,3 +617,19 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *
 #ifdef ENABLE_MODULE_RECOVERY
 # include "modules/recovery/main_impl.h"
 #endif
+
+#ifdef ENABLE_MODULE_GENERATOR
+# include "modules/generator/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_RANGEPROOF
+# include "modules/rangeproof/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_WHITELIST
+# include "modules/whitelist/main_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_SURJECTIONPROOF
+# include "modules/surjection/main_impl.h"
+#endif

src/secp256k1/src/testrand.h

@@ -35,4 +35,7 @@ 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);
 
+/** Generate a pseudorandom 64-bit integer in the range min..max, inclusive. */
+static int64_t secp256k1_rands64(uint64_t min, uint64_t max);
+
 #endif /* SECP256K1_TESTRAND_H */

src/secp256k1/src/testrand_impl.h

@@ -1,5 +1,5 @@
 /**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille                              *
+ * Copyright (c) 2013-2015 Pieter Wuille, Gregory Maxwell             *
  * Distributed under the MIT software license, see the accompanying   *
  * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
  **********************************************************************/
@@ -13,7 +13,7 @@
 #include "testrand.h"
 #include "hash.h"
 
-static secp256k1_rfc6979_hmac_sha256_t secp256k1_test_rng;
+static secp256k1_rfc6979_hmac_sha256 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;
@@ -107,4 +107,21 @@ static void secp256k1_rand256_test(unsigned char *b32) {
     secp256k1_rand_bytes_test(b32, 32);
 }
 
+SECP256K1_INLINE static int64_t secp256k1_rands64(uint64_t min, uint64_t max) {
+    uint64_t range;
+    uint64_t r;
+    uint64_t clz;
+    VERIFY_CHECK(max >= min);
+    if (max == min) {
+        return min;
+    }
+    range = max - min;
+    clz = secp256k1_clz64_var(range);
+    do {
+        r = ((uint64_t)secp256k1_rand32() << 32) | secp256k1_rand32();
+        r >>= clz;
+    } while (r > range);
+    return min + (int64_t)r;
+}
+
 #endif /* SECP256K1_TESTRAND_IMPL_H */

src/secp256k1/src/tests.c

@@ -1,5 +1,5 @@
 /**********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell      *
+ * Copyright (c) 2013-2015 Pieter Wuille, Gregory Maxwell             *
  * Distributed under the MIT software license, see the accompanying   *
  * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
  **********************************************************************/
@@ -23,6 +23,9 @@
 #include "openssl/ec.h"
 #include "openssl/ecdsa.h"
 #include "openssl/obj_mac.h"
+# if OPENSSL_VERSION_NUMBER < 0x10100000L
+void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps) {*pr = sig->r; *ps = sig->s;}
+# endif
 #endif
 
 #include "contrib/lax_der_parsing.c"
@@ -134,6 +137,52 @@ void random_scalar_order(secp256k1_scalar *num) {
     } while(1);
 }
 
+void run_util_tests(void) {
+    int i;
+    uint64_t r;
+    uint64_t r2;
+    uint64_t r3;
+    int64_t s;
+    CHECK(secp256k1_clz64_var(0) == 64);
+    CHECK(secp256k1_clz64_var(1) == 63);
+    CHECK(secp256k1_clz64_var(2) == 62);
+    CHECK(secp256k1_clz64_var(3) == 62);
+    CHECK(secp256k1_clz64_var(~0ULL) == 0);
+    CHECK(secp256k1_clz64_var((~0ULL) - 1) == 0);
+    CHECK(secp256k1_clz64_var((~0ULL) >> 1) == 1);
+    CHECK(secp256k1_clz64_var((~0ULL) >> 2) == 2);
+    CHECK(secp256k1_sign_and_abs64(&r, INT64_MAX) == 0);
+    CHECK(r == INT64_MAX);
+    CHECK(secp256k1_sign_and_abs64(&r, INT64_MAX - 1) == 0);
+    CHECK(r == INT64_MAX - 1);
+    CHECK(secp256k1_sign_and_abs64(&r, INT64_MIN) == 1);
+    CHECK(r == (uint64_t)INT64_MAX + 1);
+    CHECK(secp256k1_sign_and_abs64(&r, INT64_MIN + 1) == 1);
+    CHECK(r == (uint64_t)INT64_MAX);
+    CHECK(secp256k1_sign_and_abs64(&r, 0) == 0);
+    CHECK(r == 0);
+    CHECK(secp256k1_sign_and_abs64(&r, 1) == 0);
+    CHECK(r == 1);
+    CHECK(secp256k1_sign_and_abs64(&r, -1) == 1);
+    CHECK(r == 1);
+    CHECK(secp256k1_sign_and_abs64(&r, 2) == 0);
+    CHECK(r == 2);
+    CHECK(secp256k1_sign_and_abs64(&r, -2) == 1);
+    CHECK(r == 2);
+    for (i = 0; i < 10; i++) {
+        CHECK(secp256k1_clz64_var((~0ULL) - secp256k1_rand32()) == 0);
+        r = ((uint64_t)secp256k1_rand32() << 32) | secp256k1_rand32();
+        r2 = secp256k1_rands64(0, r);
+        CHECK(r2 <= r);
+        r3 = secp256k1_rands64(r2, r);
+        CHECK((r3 >= r2) && (r3 <= r));
+        r = secp256k1_rands64(0, INT64_MAX);
+        s = (int64_t)r * (secp256k1_rand32()&1?-1:1);
+        CHECK(secp256k1_sign_and_abs64(&r2, s) == (s < 0));
+        CHECK(r2 == r);
+    }
+}
+
 void run_context_tests(void) {
     secp256k1_pubkey pubkey;
     secp256k1_pubkey zero_pubkey;
@@ -248,6 +297,44 @@ void run_context_tests(void) {
     secp256k1_context_destroy(NULL);
 }
 
+void run_scratch_tests(void) {
+    int32_t ecount = 0;
+    secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+    secp256k1_scratch_space *scratch;
+
+    /* Test public API */
+    secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
+
+    scratch = secp256k1_scratch_space_create(none, 1000);
+    CHECK(scratch != NULL);
+    CHECK(ecount == 0);
+
+    /* Test internal API */
+    CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
+    CHECK(secp256k1_scratch_max_allocation(scratch, 1) < 1000);
+
+    /* Allocating 500 bytes with no frame fails */
+    CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
+    CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
+
+    /* ...but pushing a new stack frame does affect the max allocation */
+    CHECK(secp256k1_scratch_allocate_frame(scratch, 500, 1 == 1));
+    CHECK(secp256k1_scratch_max_allocation(scratch, 1) < 500); /* 500 - ALIGNMENT */
+    CHECK(secp256k1_scratch_alloc(scratch, 500) != NULL);
+    CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
+
+    CHECK(secp256k1_scratch_allocate_frame(scratch, 500, 1) == 0);
+
+    /* ...and this effect is undone by popping the frame */
+    secp256k1_scratch_deallocate_frame(scratch);
+    CHECK(secp256k1_scratch_max_allocation(scratch, 0) == 1000);
+    CHECK(secp256k1_scratch_alloc(scratch, 500) == NULL);
+
+    /* cleanup */
+    secp256k1_scratch_space_destroy(scratch);
+    secp256k1_context_destroy(none);
+}
+
 /***** HASH TESTS *****/
 
 void run_sha256_tests(void) {
@@ -270,7 +357,7 @@ void run_sha256_tests(void) {
     int i;
     for (i = 0; i < 8; i++) {
         unsigned char out[32];
-        secp256k1_sha256_t hasher;
+        secp256k1_sha256 hasher;
         secp256k1_sha256_initialize(&hasher);
         secp256k1_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
         secp256k1_sha256_finalize(&hasher, out);
@@ -313,7 +400,7 @@ void run_hmac_sha256_tests(void) {
     };
     int i;
     for (i = 0; i < 6; i++) {
-        secp256k1_hmac_sha256_t hasher;
+        secp256k1_hmac_sha256 hasher;
         unsigned char out[32];
         secp256k1_hmac_sha256_initialize(&hasher, (const unsigned char*)(keys[i]), strlen(keys[i]));
         secp256k1_hmac_sha256_write(&hasher, (const unsigned char*)(inputs[i]), strlen(inputs[i]));
@@ -345,7 +432,7 @@ void run_rfc6979_hmac_sha256_tests(void) {
         {0x75, 0x97, 0x88, 0x7c, 0xbd, 0x76, 0x32, 0x1f, 0x32, 0xe3, 0x04, 0x40, 0x67, 0x9a, 0x22, 0xcf, 0x7f, 0x8d, 0x9d, 0x2e, 0xac, 0x39, 0x0e, 0x58, 0x1f, 0xea, 0x09, 0x1c, 0xe2, 0x02, 0xba, 0x94}
     };
 
-    secp256k1_rfc6979_hmac_sha256_t rng;
+    secp256k1_rfc6979_hmac_sha256 rng;
     unsigned char out[32];
     int i;
 
@@ -2054,7 +2141,6 @@ void test_ge(void) {
     /* Test batch gej -> ge conversion with and without known z ratios. */
     {
         secp256k1_fe *zr = (secp256k1_fe *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_fe));
-        secp256k1_ge *ge_set_table = (secp256k1_ge *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge));
         secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge));
         for (i = 0; i < 4 * runs + 1; i++) {
             /* Compute gej[i + 1].z / gez[i].z (with gej[n].z taken to be 1). */
@@ -2062,20 +2148,33 @@ void test_ge(void) {
                 secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z);
             }
         }
-        secp256k1_ge_set_table_gej_var(ge_set_table, gej, zr, 4 * runs + 1);
-        secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1, &ctx->error_callback);
+        secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1);
         for (i = 0; i < 4 * runs + 1; i++) {
             secp256k1_fe s;
             random_fe_non_zero(&s);
             secp256k1_gej_rescale(&gej[i], &s);
-            ge_equals_gej(&ge_set_table[i], &gej[i]);
             ge_equals_gej(&ge_set_all[i], &gej[i]);
         }
-        free(ge_set_table);
         free(ge_set_all);
         free(zr);
     }
 
+    /* Test batch gej -> ge conversion with many infinities. */
+    for (i = 0; i < 4 * runs + 1; i++) {
+        random_group_element_test(&ge[i]);
+        /* randomly set half the points to infinitiy */
+        if(secp256k1_fe_is_odd(&ge[i].x)) {
+            secp256k1_ge_set_infinity(&ge[i]);
+        }
+        secp256k1_gej_set_ge(&gej[i], &ge[i]);
+    }
+    /* batch invert */
+    secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
+    /* check result */
+    for (i = 0; i < 4 * runs + 1; i++) {
+        ge_equals_gej(&ge[i], &gej[i]);
+    }
+
     free(ge);
     free(gej);
     free(zinv);
@@ -2405,7 +2504,7 @@ void ecmult_const_random_mult(void) {
         0xb84e4e1b, 0xfb77e21f, 0x96baae2a, 0x63dec956
     );
     secp256k1_gej b;
-    secp256k1_ecmult_const(&b, &a, &xn);
+    secp256k1_ecmult_const(&b, &a, &xn, 256);
 
     CHECK(secp256k1_ge_is_valid_var(&a));
     ge_equals_gej(&expected_b, &b);
@@ -2421,12 +2520,12 @@ void ecmult_const_commutativity(void) {
     random_scalar_order_test(&a);
     random_scalar_order_test(&b);
 
-    secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a);
-    secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b);
+    secp256k1_ecmult_const(&res1, &secp256k1_ge_const_g, &a, 256);
+    secp256k1_ecmult_const(&res2, &secp256k1_ge_const_g, &b, 256);
     secp256k1_ge_set_gej(&mid1, &res1);
     secp256k1_ge_set_gej(&mid2, &res2);
-    secp256k1_ecmult_const(&res1, &mid1, &b);
-    secp256k1_ecmult_const(&res2, &mid2, &a);
+    secp256k1_ecmult_const(&res1, &mid1, &b, 256);
+    secp256k1_ecmult_const(&res2, &mid2, &a, 256);
     secp256k1_ge_set_gej(&mid1, &res1);
     secp256k1_ge_set_gej(&mid2, &res2);
     ge_equals_ge(&mid1, &mid2);
@@ -2442,13 +2541,13 @@ void ecmult_const_mult_zero_one(void) {
     secp256k1_scalar_negate(&negone, &one);
 
     random_group_element_test(&point);
-    secp256k1_ecmult_const(&res1, &point, &zero);
+    secp256k1_ecmult_const(&res1, &point, &zero, 3);
     secp256k1_ge_set_gej(&res2, &res1);
     CHECK(secp256k1_ge_is_infinity(&res2));
-    secp256k1_ecmult_const(&res1, &point, &one);
+    secp256k1_ecmult_const(&res1, &point, &one, 2);
     secp256k1_ge_set_gej(&res2, &res1);
     ge_equals_ge(&res2, &point);
-    secp256k1_ecmult_const(&res1, &point, &negone);
+    secp256k1_ecmult_const(&res1, &point, &negone, 256);
     secp256k1_gej_neg(&res1, &res1);
     secp256k1_ge_set_gej(&res2, &res1);
     ge_equals_ge(&res2, &point);
@@ -2474,7 +2573,7 @@ void ecmult_const_chain_multiply(void) {
     for (i = 0; i < 100; ++i) {
         secp256k1_ge tmp;
         secp256k1_ge_set_gej(&tmp, &point);
-        secp256k1_ecmult_const(&point, &tmp, &scalar);
+        secp256k1_ecmult_const(&point, &tmp, &scalar, 256);
     }
     secp256k1_ge_set_gej(&res, &point);
     ge_equals_gej(&res, &expected_point);
@@ -2487,6 +2586,400 @@ void run_ecmult_const_tests(void) {
     ecmult_const_chain_multiply();
 }
 
+typedef struct {
+    secp256k1_scalar *sc;
+    secp256k1_ge *pt;
+} ecmult_multi_data;
+
+static int ecmult_multi_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+    ecmult_multi_data *data = (ecmult_multi_data*) cbdata;
+    *sc = data->sc[idx];
+    *pt = data->pt[idx];
+    return 1;
+}
+
+static int ecmult_multi_false_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+    (void)sc;
+    (void)pt;
+    (void)idx;
+    (void)cbdata;
+    return 0;
+}
+
+void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func ecmult_multi) {
+    int ncount;
+    secp256k1_scalar szero;
+    secp256k1_scalar sc[32];
+    secp256k1_ge pt[32];
+    secp256k1_gej r;
+    secp256k1_gej r2;
+    ecmult_multi_data data;
+    secp256k1_scratch *scratch_empty;
+
+    data.sc = sc;
+    data.pt = pt;
+    secp256k1_scalar_set_int(&szero, 0);
+
+    /* No points to multiply */
+    CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, NULL, ecmult_multi_callback, &data, 0));
+
+    /* Check 1- and 2-point multiplies against ecmult */
+    for (ncount = 0; ncount < count; ncount++) {
+        secp256k1_ge ptg;
+        secp256k1_gej ptgj;
+        random_scalar_order(&sc[0]);
+        random_scalar_order(&sc[1]);
+
+        random_group_element_test(&ptg);
+        secp256k1_gej_set_ge(&ptgj, &ptg);
+        pt[0] = ptg;
+        pt[1] = secp256k1_ge_const_g;
+
+        /* only G scalar */
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &szero, &sc[0]);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+
+        /* 1-point */
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &szero);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 1));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+
+        /* Try to multiply 1 point, but scratch space is empty */
+        scratch_empty = secp256k1_scratch_create(&ctx->error_callback, 0);
+        CHECK(!ecmult_multi(&ctx->ecmult_ctx, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1));
+        secp256k1_scratch_destroy(scratch_empty);
+
+        /* Try to multiply 1 point, but callback returns false */
+        CHECK(!ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1));
+
+        /* 2-point */
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 2));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+
+        /* 2-point with G scalar */
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+    }
+
+    /* Check infinite outputs of various forms */
+    for (ncount = 0; ncount < count; ncount++) {
+        secp256k1_ge ptg;
+        size_t i, j;
+        size_t sizes[] = { 2, 10, 32 };
+
+        for (j = 0; j < 3; j++) {
+            for (i = 0; i < 32; i++) {
+                random_scalar_order(&sc[i]);
+                secp256k1_ge_set_infinity(&pt[i]);
+            }
+            CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+            CHECK(secp256k1_gej_is_infinity(&r));
+        }
+
+        for (j = 0; j < 3; j++) {
+            for (i = 0; i < 32; i++) {
+                random_group_element_test(&ptg);
+                pt[i] = ptg;
+                secp256k1_scalar_set_int(&sc[i], 0);
+            }
+            CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+            CHECK(secp256k1_gej_is_infinity(&r));
+        }
+
+        for (j = 0; j < 3; j++) {
+            random_group_element_test(&ptg);
+            for (i = 0; i < 16; i++) {
+                random_scalar_order(&sc[2*i]);
+                secp256k1_scalar_negate(&sc[2*i + 1], &sc[2*i]);
+                pt[2 * i] = ptg;
+                pt[2 * i + 1] = ptg;
+            }
+
+            CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+            CHECK(secp256k1_gej_is_infinity(&r));
+
+            random_scalar_order(&sc[0]);
+            for (i = 0; i < 16; i++) {
+                random_group_element_test(&ptg);
+
+                sc[2*i] = sc[0];
+                sc[2*i+1] = sc[0];
+                pt[2 * i] = ptg;
+                secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]);
+            }
+
+            CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+            CHECK(secp256k1_gej_is_infinity(&r));
+        }
+
+        random_group_element_test(&ptg);
+        secp256k1_scalar_set_int(&sc[0], 0);
+        pt[0] = ptg;
+        for (i = 1; i < 32; i++) {
+            pt[i] = ptg;
+
+            random_scalar_order(&sc[i]);
+            secp256k1_scalar_add(&sc[0], &sc[0], &sc[i]);
+            secp256k1_scalar_negate(&sc[i], &sc[i]);
+        }
+
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 32));
+        CHECK(secp256k1_gej_is_infinity(&r));
+    }
+
+    /* Check random points, constant scalar */
+    for (ncount = 0; ncount < count; ncount++) {
+        size_t i;
+        secp256k1_gej_set_infinity(&r);
+
+        random_scalar_order(&sc[0]);
+        for (i = 0; i < 20; i++) {
+            secp256k1_ge ptg;
+            sc[i] = sc[0];
+            random_group_element_test(&ptg);
+            pt[i] = ptg;
+            secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL);
+        }
+
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r, &sc[0], &szero);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+    }
+
+    /* Check random scalars, constant point */
+    for (ncount = 0; ncount < count; ncount++) {
+        size_t i;
+        secp256k1_ge ptg;
+        secp256k1_gej p0j;
+        secp256k1_scalar rs;
+        secp256k1_scalar_set_int(&rs, 0);
+
+        random_group_element_test(&ptg);
+        for (i = 0; i < 20; i++) {
+            random_scalar_order(&sc[i]);
+            pt[i] = ptg;
+            secp256k1_scalar_add(&rs, &rs, &sc[i]);
+        }
+
+        secp256k1_gej_set_ge(&p0j, &pt[0]);
+        secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &p0j, &rs, &szero);
+        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+        secp256k1_gej_neg(&r2, &r2);
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+    }
+
+    /* Sanity check that zero scalars don't cause problems */
+    for (ncount = 0; ncount < 20; ncount++) {
+        random_scalar_order(&sc[ncount]);
+        random_group_element_test(&pt[ncount]);
+    }
+
+    secp256k1_scalar_clear(&sc[0]);
+    CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+    secp256k1_scalar_clear(&sc[1]);
+    secp256k1_scalar_clear(&sc[2]);
+    secp256k1_scalar_clear(&sc[3]);
+    secp256k1_scalar_clear(&sc[4]);
+    CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 6));
+    CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 5));
+    CHECK(secp256k1_gej_is_infinity(&r));
+
+    /* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */
+    {
+        const size_t TOP = 8;
+        size_t s0i, s1i;
+        size_t t0i, t1i;
+        secp256k1_ge ptg;
+        secp256k1_gej ptgj;
+
+        random_group_element_test(&ptg);
+        secp256k1_gej_set_ge(&ptgj, &ptg);
+
+        for(t0i = 0; t0i < TOP; t0i++) {
+            for(t1i = 0; t1i < TOP; t1i++) {
+                secp256k1_gej t0p, t1p;
+                secp256k1_scalar t0, t1;
+
+                secp256k1_scalar_set_int(&t0, (t0i + 1) / 2);
+                secp256k1_scalar_cond_negate(&t0, t0i & 1);
+                secp256k1_scalar_set_int(&t1, (t1i + 1) / 2);
+                secp256k1_scalar_cond_negate(&t1, t1i & 1);
+
+                secp256k1_ecmult(&ctx->ecmult_ctx, &t0p, &ptgj, &t0, &szero);
+                secp256k1_ecmult(&ctx->ecmult_ctx, &t1p, &ptgj, &t1, &szero);
+
+                for(s0i = 0; s0i < TOP; s0i++) {
+                    for(s1i = 0; s1i < TOP; s1i++) {
+                        secp256k1_scalar tmp1, tmp2;
+                        secp256k1_gej expected, actual;
+
+                        secp256k1_ge_set_gej(&pt[0], &t0p);
+                        secp256k1_ge_set_gej(&pt[1], &t1p);
+
+                        secp256k1_scalar_set_int(&sc[0], (s0i + 1) / 2);
+                        secp256k1_scalar_cond_negate(&sc[0], s0i & 1);
+                        secp256k1_scalar_set_int(&sc[1], (s1i + 1) / 2);
+                        secp256k1_scalar_cond_negate(&sc[1], s1i & 1);
+
+                        secp256k1_scalar_mul(&tmp1, &t0, &sc[0]);
+                        secp256k1_scalar_mul(&tmp2, &t1, &sc[1]);
+                        secp256k1_scalar_add(&tmp1, &tmp1, &tmp2);
+
+                        secp256k1_ecmult(&ctx->ecmult_ctx, &expected, &ptgj, &tmp1, &szero);
+                        CHECK(ecmult_multi(&ctx->ecmult_ctx, scratch, &actual, &szero, ecmult_multi_callback, &data, 2));
+                        secp256k1_gej_neg(&expected, &expected);
+                        secp256k1_gej_add_var(&actual, &actual, &expected, NULL);
+                        CHECK(secp256k1_gej_is_infinity(&actual));
+                    }
+                }
+            }
+        }
+    }
+}
+
+void test_secp256k1_pippenger_bucket_window_inv(void) {
+    int i;
+
+    CHECK(secp256k1_pippenger_bucket_window_inv(0) == 0);
+    for(i = 1; i <= PIPPENGER_MAX_BUCKET_WINDOW; i++) {
+#ifdef USE_ENDOMORPHISM
+        /* Bucket_window of 8 is not used with endo */
+        if (i == 8) {
+            continue;
+        }
+#endif
+        CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)) == i);
+        if (i != PIPPENGER_MAX_BUCKET_WINDOW) {
+            CHECK(secp256k1_pippenger_bucket_window(secp256k1_pippenger_bucket_window_inv(i)+1) > i);
+        }
+    }
+}
+
+/**
+ * Probabilistically test the function returning the maximum number of possible points
+ * for a given scratch space.
+ */
+void test_ecmult_multi_pippenger_max_points(void) {
+    size_t scratch_size = secp256k1_rand_int(256);
+    size_t max_size = secp256k1_pippenger_scratch_size(secp256k1_pippenger_bucket_window_inv(PIPPENGER_MAX_BUCKET_WINDOW-1)+512, 12);
+    secp256k1_scratch *scratch;
+    size_t n_points_supported;
+    int bucket_window = 0;
+
+    for(; scratch_size < max_size; scratch_size+=256) {
+        scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size);
+        CHECK(scratch != NULL);
+        n_points_supported = secp256k1_pippenger_max_points(scratch);
+        if (n_points_supported == 0) {
+            secp256k1_scratch_destroy(scratch);
+            continue;
+        }
+        bucket_window = secp256k1_pippenger_bucket_window(n_points_supported);
+        CHECK(secp256k1_scratch_allocate_frame(scratch, secp256k1_pippenger_scratch_size(n_points_supported, bucket_window), PIPPENGER_SCRATCH_OBJECTS));
+        secp256k1_scratch_deallocate_frame(scratch);
+        secp256k1_scratch_destroy(scratch);
+    }
+    CHECK(bucket_window == PIPPENGER_MAX_BUCKET_WINDOW);
+}
+
+/**
+ * Run secp256k1_ecmult_multi_var with num points and a scratch space restricted to
+ * 1 <= i <= num points.
+ */
+void test_ecmult_multi_batching(void) {
+    static const int n_points = 2*ECMULT_PIPPENGER_THRESHOLD;
+    secp256k1_scalar scG;
+    secp256k1_scalar szero;
+    secp256k1_scalar *sc = (secp256k1_scalar *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_scalar) * n_points);
+    secp256k1_ge *pt = (secp256k1_ge *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_ge) * n_points);
+    secp256k1_gej r;
+    secp256k1_gej r2;
+    ecmult_multi_data data;
+    int i;
+    secp256k1_scratch *scratch;
+
+    secp256k1_gej_set_infinity(&r2);
+    secp256k1_scalar_set_int(&szero, 0);
+
+    /* Get random scalars and group elements and compute result */
+    random_scalar_order(&scG);
+    secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r2, &szero, &scG);
+    for(i = 0; i < n_points; i++) {
+        secp256k1_ge ptg;
+        secp256k1_gej ptgj;
+        random_group_element_test(&ptg);
+        secp256k1_gej_set_ge(&ptgj, &ptg);
+        pt[i] = ptg;
+        random_scalar_order(&sc[i]);
+        secp256k1_ecmult(&ctx->ecmult_ctx, &ptgj, &ptgj, &sc[i], NULL);
+        secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL);
+    }
+    data.sc = sc;
+    data.pt = pt;
+
+    /* Test with empty scratch space */
+    scratch = secp256k1_scratch_create(&ctx->error_callback, 0);
+    CHECK(!secp256k1_ecmult_multi_var(&ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, 1));
+    secp256k1_scratch_destroy(scratch);
+
+    /* Test with space for 1 point in pippenger. That's not enough because
+     * ecmult_multi selects strauss which requires more memory. */
+    scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT);
+    CHECK(!secp256k1_ecmult_multi_var(&ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, 1));
+    secp256k1_scratch_destroy(scratch);
+
+    secp256k1_gej_neg(&r2, &r2);
+    for(i = 1; i <= n_points; i++) {
+        if (i > ECMULT_PIPPENGER_THRESHOLD) {
+            int bucket_window = secp256k1_pippenger_bucket_window(i);
+            size_t scratch_size = secp256k1_pippenger_scratch_size(i, bucket_window);
+            scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT);
+        } else {
+            size_t scratch_size = secp256k1_strauss_scratch_size(i);
+            scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT);
+        }
+        CHECK(secp256k1_ecmult_multi_var(&ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+        secp256k1_gej_add_var(&r, &r, &r2, NULL);
+        CHECK(secp256k1_gej_is_infinity(&r));
+        secp256k1_scratch_destroy(scratch);
+    }
+    free(sc);
+    free(pt);
+}
+
+void run_ecmult_multi_tests(void) {
+    secp256k1_scratch *scratch;
+
+    test_secp256k1_pippenger_bucket_window_inv();
+    test_ecmult_multi_pippenger_max_points();
+    scratch = secp256k1_scratch_create(&ctx->error_callback, 819200);
+    test_ecmult_multi(scratch, secp256k1_ecmult_multi_var);
+    test_ecmult_multi(scratch, secp256k1_ecmult_pippenger_batch_single);
+    test_ecmult_multi(scratch, secp256k1_ecmult_strauss_batch_single);
+    secp256k1_scratch_destroy(scratch);
+
+    /* Run test_ecmult_multi with space for exactly one point */
+    scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_strauss_scratch_size(1) + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT);
+    test_ecmult_multi(scratch, secp256k1_ecmult_multi_var);
+    secp256k1_scratch_destroy(scratch);
+
+    test_ecmult_multi_batching();
+}
+
 void test_wnaf(const secp256k1_scalar *number, int w) {
     secp256k1_scalar x, two, t;
     int wnaf[256];
@@ -2541,6 +3034,7 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) {
     int wnaf[256] = {0};
     int i;
     int skew;
+    int bits = 256;
     secp256k1_scalar num = *number;
 
     secp256k1_scalar_set_int(&x, 0);
@@ -2550,10 +3044,11 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) {
     for (i = 0; i < 16; ++i) {
         secp256k1_scalar_shr_int(&num, 8);
     }
+    bits = 128;
 #endif
-    skew = secp256k1_wnaf_const(wnaf, num, w);
+    skew = secp256k1_wnaf_const(wnaf, num, w, bits);
 
-    for (i = WNAF_SIZE(w); i >= 0; --i) {
+    for (i = WNAF_SIZE_BITS(bits, w); i >= 0; --i) {
         secp256k1_scalar t;
         int v = wnaf[i];
         CHECK(v != 0); /* check nonzero */
@@ -2575,6 +3070,110 @@ void test_constant_wnaf(const secp256k1_scalar *number, int w) {
     CHECK(secp256k1_scalar_eq(&x, &num));
 }
 
+void test_fixed_wnaf(const secp256k1_scalar *number, int w) {
+    secp256k1_scalar x, shift;
+    int wnaf[256] = {0};
+    int i;
+    int skew;
+    secp256k1_scalar num = *number;
+
+    secp256k1_scalar_set_int(&x, 0);
+    secp256k1_scalar_set_int(&shift, 1 << w);
+    /* With USE_ENDOMORPHISM on we only consider 128-bit numbers */
+#ifdef USE_ENDOMORPHISM
+    for (i = 0; i < 16; ++i) {
+        secp256k1_scalar_shr_int(&num, 8);
+    }
+#endif
+    skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+
+    for (i = WNAF_SIZE(w)-1; i >= 0; --i) {
+        secp256k1_scalar t;
+        int v = wnaf[i];
+        CHECK(v == 0 || v & 1);  /* check parity */
+        CHECK(v > -(1 << w)); /* check range above */
+        CHECK(v < (1 << w));  /* check range below */
+
+        secp256k1_scalar_mul(&x, &x, &shift);
+        if (v >= 0) {
+            secp256k1_scalar_set_int(&t, v);
+        } else {
+            secp256k1_scalar_set_int(&t, -v);
+            secp256k1_scalar_negate(&t, &t);
+        }
+        secp256k1_scalar_add(&x, &x, &t);
+    }
+    /* If skew is 1 then add 1 to num */
+    secp256k1_scalar_cadd_bit(&num, 0, skew == 1);
+    CHECK(secp256k1_scalar_eq(&x, &num));
+}
+
+/* Checks that the first 8 elements of wnaf are equal to wnaf_expected and the
+ * rest is 0.*/
+void test_fixed_wnaf_small_helper(int *wnaf, int *wnaf_expected, int w) {
+    int i;
+    for (i = WNAF_SIZE(w)-1; i >= 8; --i) {
+        CHECK(wnaf[i] == 0);
+    }
+    for (i = 7; i >= 0; --i) {
+        CHECK(wnaf[i] == wnaf_expected[i]);
+    }
+}
+
+void test_fixed_wnaf_small(void) {
+    int w = 4;
+    int wnaf[256] = {0};
+    int i;
+    int skew;
+    secp256k1_scalar num;
+
+    secp256k1_scalar_set_int(&num, 0);
+    skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+    for (i = WNAF_SIZE(w)-1; i >= 0; --i) {
+        int v = wnaf[i];
+        CHECK(v == 0);
+    }
+    CHECK(skew == 0);
+
+    secp256k1_scalar_set_int(&num, 1);
+    skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+    for (i = WNAF_SIZE(w)-1; i >= 1; --i) {
+        int v = wnaf[i];
+        CHECK(v == 0);
+    }
+    CHECK(wnaf[0] == 1);
+    CHECK(skew == 0);
+
+    {
+        int wnaf_expected[8] = { 0xf, 0xf, 0xf, 0xf, 0xf, 0xf, 0xf, 0xf };
+        secp256k1_scalar_set_int(&num, 0xffffffff);
+        skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+        test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+        CHECK(skew == 0);
+    }
+    {
+        int wnaf_expected[8] = { -1, -1, -1, -1, -1, -1, -1, 0xf };
+        secp256k1_scalar_set_int(&num, 0xeeeeeeee);
+        skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+        test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+        CHECK(skew == 1);
+    }
+    {
+        int wnaf_expected[8] = { 1, 0, 1, 0, 1, 0, 1, 0 };
+        secp256k1_scalar_set_int(&num, 0x01010101);
+        skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+        test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+        CHECK(skew == 0);
+    }
+    {
+        int wnaf_expected[8] = { -0xf, 0, 0xf, -0xf, 0, 0xf, 1, 0 };
+        secp256k1_scalar_set_int(&num, 0x01ef1ef1);
+        skew = secp256k1_wnaf_fixed(wnaf, &num, w);
+        test_fixed_wnaf_small_helper(wnaf, wnaf_expected, w);
+        CHECK(skew == 0);
+    }
+}
+
 void run_wnaf(void) {
     int i;
     secp256k1_scalar n = {{0}};
@@ -2585,12 +3184,15 @@ void run_wnaf(void) {
     test_constant_wnaf(&n, 4);
     n.d[0] = 2;
     test_constant_wnaf(&n, 4);
+    /* Test 0 */
+    test_fixed_wnaf_small();
     /* Random tests */
     for (i = 0; i < count; i++) {
         random_scalar_order(&n);
         test_wnaf(&n, 4+(i%10));
         test_constant_wnaf_negate(&n);
         test_constant_wnaf(&n, 4 + (i % 10));
+        test_fixed_wnaf(&n, 4 + (i % 10));
     }
     secp256k1_scalar_set_int(&n, 0);
     CHECK(secp256k1_scalar_cond_negate(&n, 1) == -1);
@@ -3055,6 +3657,7 @@ void run_ec_pubkey_parse_test(void) {
     ecount = 0;
     VG_UNDEF(&pubkey, sizeof(pubkey));
     CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pubkeyc, 65) == 1);
+    CHECK(secp256k1_ec_pubkey_parse(secp256k1_context_no_precomp, &pubkey, pubkeyc, 65) == 1);
     VG_CHECK(&pubkey, sizeof(pubkey));
     CHECK(ecount == 0);
     VG_UNDEF(&ge, sizeof(ge));
@@ -3177,7 +3780,7 @@ void run_eckey_edge_case_test(void) {
     VG_CHECK(&pubkey, sizeof(pubkey));
     CHECK(memcmp(&pubkey, zeros, sizeof(secp256k1_pubkey)) > 0);
     pubkey_negone = pubkey;
-    /* Tweak of zero leaves the value changed. */
+    /* Tweak of zero leaves the value unchanged. */
     memset(ctmp2, 0, 32);
     CHECK(secp256k1_ec_privkey_tweak_add(ctx, ctmp, ctmp2) == 1);
     CHECK(memcmp(orderc, ctmp, 31) == 0 && ctmp[31] == 0x40);
@@ -3668,6 +4271,7 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
 
 #ifdef ENABLE_OPENSSL_TESTS
     ECDSA_SIG *sig_openssl;
+    const BIGNUM *r = NULL, *s = NULL;
     const unsigned char *sigptr;
     unsigned char roundtrip_openssl[2048];
     int len_openssl = 2048;
@@ -3719,15 +4323,16 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
     sigptr = sig;
     parsed_openssl = (d2i_ECDSA_SIG(&sig_openssl, &sigptr, siglen) != NULL);
     if (parsed_openssl) {
-        valid_openssl = !BN_is_negative(sig_openssl->r) && !BN_is_negative(sig_openssl->s) && BN_num_bits(sig_openssl->r) > 0 && BN_num_bits(sig_openssl->r) <= 256 && BN_num_bits(sig_openssl->s) > 0 && BN_num_bits(sig_openssl->s) <= 256;
+        ECDSA_SIG_get0(sig_openssl, &r, &s);
+        valid_openssl = !BN_is_negative(r) && !BN_is_negative(s) && BN_num_bits(r) > 0 && BN_num_bits(r) <= 256 && BN_num_bits(s) > 0 && BN_num_bits(s) <= 256;
         if (valid_openssl) {
             unsigned char tmp[32] = {0};
-            BN_bn2bin(sig_openssl->r, tmp + 32 - BN_num_bytes(sig_openssl->r));
+            BN_bn2bin(r, tmp + 32 - BN_num_bytes(r));
             valid_openssl = memcmp(tmp, max_scalar, 32) < 0;
         }
         if (valid_openssl) {
             unsigned char tmp[32] = {0};
-            BN_bn2bin(sig_openssl->s, tmp + 32 - BN_num_bytes(sig_openssl->s));
+            BN_bn2bin(s, tmp + 32 - BN_num_bytes(s));
             valid_openssl = memcmp(tmp, max_scalar, 32) < 0;
         }
     }
@@ -4407,6 +5012,22 @@ void run_ecdsa_openssl(void) {
 # include "modules/recovery/tests_impl.h"
 #endif
 
+#ifdef ENABLE_MODULE_GENERATOR
+# include "modules/generator/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_RANGEPROOF
+# include "modules/rangeproof/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_WHITELIST
+# include "modules/whitelist/tests_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_SURJECTIONPROOF
+# include "modules/surjection/tests_impl.h"
+#endif
+
 int main(int argc, char **argv) {
     unsigned char seed16[16] = {0};
     unsigned char run32[32] = {0};
@@ -4431,7 +5052,7 @@ int main(int argc, char **argv) {
         }
     } else {
         FILE *frand = fopen("/dev/urandom", "r");
-        if ((frand == NULL) || !fread(&seed16, sizeof(seed16), 1, frand)) {
+        if ((frand == NULL) || fread(&seed16, sizeof(seed16), 1, frand) != sizeof(seed16)) {
             uint64_t t = time(NULL) * (uint64_t)1337;
             seed16[0] ^= t;
             seed16[1] ^= t >> 8;
@@ -4442,7 +5063,9 @@ int main(int argc, char **argv) {
             seed16[6] ^= t >> 48;
             seed16[7] ^= t >> 56;
         }
-        fclose(frand);
+        if (frand) {
+            fclose(frand);
+        }
     }
     secp256k1_rand_seed(seed16);
 
@@ -4451,6 +5074,7 @@ int main(int argc, char **argv) {
 
     /* initialize */
     run_context_tests();
+    run_scratch_tests();
     ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
     if (secp256k1_rand_bits(1)) {
         secp256k1_rand256(run32);
@@ -4459,6 +5083,7 @@ int main(int argc, char **argv) {
 
     run_rand_bits();
     run_rand_int();
+    run_util_tests();
 
     run_sha256_tests();
     run_hmac_sha256_tests();
@@ -4492,6 +5117,7 @@ int main(int argc, char **argv) {
     run_ecmult_constants();
     run_ecmult_gen_blind();
     run_ecmult_const_tests();
+    run_ecmult_multi_tests();
     run_ec_combine();
 
     /* endomorphism tests */
@@ -4525,6 +5151,23 @@ int main(int argc, char **argv) {
     run_recovery_tests();
 #endif
 
+#ifdef ENABLE_MODULE_GENERATOR
+    run_generator_tests();
+#endif
+
+#ifdef ENABLE_MODULE_RANGEPROOF
+    run_rangeproof_tests();
+#endif
+
+#ifdef ENABLE_MODULE_WHITELIST
+    /* Key whitelisting tests */
+    run_whitelist_tests();
+#endif
+
+#ifdef ENABLE_MODULE_SURJECTIONPROOF
+    run_surjection_tests();
+#endif
+
     secp256k1_rand256(run32);
     printf("random run = %02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x%02x\n", run32[0], run32[1], run32[2], run32[3], run32[4], run32[5], run32[6], run32[7], run32[8], run32[9], run32[10], run32[11], run32[12], run32[13], run32[14], run32[15]);
 

src/secp256k1/src/tests_exhaustive.c

@@ -174,7 +174,7 @@ void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *gr
                 ge_equals_gej(&group[(i * r_log + j) % order], &tmp);
 
                 if (i > 0) {
-                    secp256k1_ecmult_const(&tmp, &group[i], &ng);
+                    secp256k1_ecmult_const(&tmp, &group[i], &ng, 256);
                     ge_equals_gej(&group[(i * j) % order], &tmp);
                 }
             }
@@ -182,6 +182,46 @@ void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *gr
     }
 }
 
+typedef struct {
+    secp256k1_scalar sc[2];
+    secp256k1_ge pt[2];
+} ecmult_multi_data;
+
+static int ecmult_multi_callback(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *cbdata) {
+    ecmult_multi_data *data = (ecmult_multi_data*) cbdata;
+    *sc = data->sc[idx];
+    *pt = data->pt[idx];
+    return 1;
+}
+
+void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ge *group, int order) {
+    int i, j, k, x, y;
+    secp256k1_scratch *scratch = secp256k1_scratch_create(&ctx->error_callback, 4096);
+    for (i = 0; i < order; i++) {
+        for (j = 0; j < order; j++) {
+            for (k = 0; k < order; k++) {
+                for (x = 0; x < order; x++) {
+                    for (y = 0; y < order; y++) {
+                        secp256k1_gej tmp;
+                        secp256k1_scalar g_sc;
+                        ecmult_multi_data data;
+
+                        secp256k1_scalar_set_int(&data.sc[0], i);
+                        secp256k1_scalar_set_int(&data.sc[1], j);
+                        secp256k1_scalar_set_int(&g_sc, k);
+                        data.pt[0] = group[x];
+                        data.pt[1] = group[y];
+
+                        secp256k1_ecmult_multi_var(&ctx->ecmult_ctx, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2);
+                        ge_equals_gej(&group[(i * x + j * y + k) % order], &tmp);
+                    }
+                }
+            }
+        }
+    }
+    secp256k1_scratch_destroy(scratch);
+}
+
 void r_from_k(secp256k1_scalar *r, const secp256k1_ge *group, int k) {
     secp256k1_fe x;
     unsigned char x_bin[32];
@@ -456,6 +496,7 @@ int main(void) {
 #endif
     test_exhaustive_addition(group, groupj, EXHAUSTIVE_TEST_ORDER);
     test_exhaustive_ecmult(ctx, group, groupj, EXHAUSTIVE_TEST_ORDER);
+    test_exhaustive_ecmult_multi(ctx, group, EXHAUSTIVE_TEST_ORDER);
     test_exhaustive_sign(ctx, group, EXHAUSTIVE_TEST_ORDER);
     test_exhaustive_verify(ctx, group, EXHAUSTIVE_TEST_ORDER);
 

src/secp256k1/src/util.h

@@ -1,5 +1,5 @@
 /**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Copyright (c) 2013-2015 Pieter Wuille, Gregory Maxwell             *
  * Distributed under the MIT software license, see the accompanying   *
  * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
  **********************************************************************/
@@ -76,6 +76,40 @@ static SECP256K1_INLINE void *checked_malloc(const secp256k1_callback* cb, size_
     return ret;
 }
 
+static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void *ptr, size_t size) {
+    void *ret = realloc(ptr, size);
+    if (ret == NULL) {
+        secp256k1_callback_call(cb, "Out of memory");
+    }
+    return ret;
+}
+
+/* Extract the sign of an int64, take the abs and return a uint64, constant time. */
+SECP256K1_INLINE static int secp256k1_sign_and_abs64(uint64_t *out, int64_t in) {
+    uint64_t mask0, mask1;
+    int ret;
+    ret = in < 0;
+    mask0 = ret + ~((uint64_t)0);
+    mask1 = ~mask0;
+    *out = (uint64_t)in;
+    *out = (*out & mask0) | ((~*out + 1) & mask1);
+    return ret;
+}
+
+SECP256K1_INLINE static int secp256k1_clz64_var(uint64_t x) {
+    int ret;
+    if (!x) {
+        return 64;
+    }
+# if defined(HAVE_BUILTIN_CLZLL)
+    ret = __builtin_clzll(x);
+# else
+    /*FIXME: debruijn fallback. */
+    for (ret = 0; ((x & (1ULL << 63)) == 0); x <<= 1, ret++);
+# endif
+    return ret;
+}
+
 /* Macro for restrict, when available and not in a VERIFY build. */
 #if defined(SECP256K1_BUILD) && defined(VERIFY)
 # define SECP256K1_RESTRICT