New implementation of incremental merkle tree

This is a new implementation of the incremental merkle tree used by our
scheme to witness commitments to spendable value. It serves as a fixed-sized
accumulator.

This new construction has a much simpler API surface area, avoids memory
safety issues, remains pruned at all times, avoids serialization edge cases,
has more efficient insertion, and is abstract over the depth and hash
function used at the type level.

Further, it lays the groundwork for efficient "fast-forwarding" of witnesses
into the tree as the treestate is updated.

diff --git a/src/Makefile.am b/src/Makefile.am
index ea6aa36926b5e8ae3a199e9ce89020e076536018..1db63746a901785f8e37a2c8b8096c3e413c177e 100644 (file)
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -69,7 +69,9 @@ if BUILD_BITCOIN_UTILS
   bin_PROGRAMS += zcash-cli bitcoin-tx
 endif
 
+# TODO: rename to libzcash
 LIBZEROCASH_H = \
+  zcash/IncrementalMerkleTree.h \
   zerocash/Address.h \
   zerocash/CoinCommitment.h \
   zerocash/Coin.h \
@@ -411,6 +413,7 @@ bitcoin_tx_LDADD += $(BOOST_LIBS) $(CRYPTO_LIBS)
 
 # zerocash protocol primitives #
 libzerocash_a_SOURCES = \
+  zcash/IncrementalMerkleTree.cpp \
   zerocash/Address.cpp \
   zerocash/CoinCommitment.cpp \
   zerocash/Coin.cpp \

diff --git a/src/Makefile.test.include b/src/Makefile.test.include
index 72d38e7c0f18f1fb87adb6d86e12c44a0a69cc91..f6065de596f95a2033c221318e849fc2e6b81c75 100644 (file)
--- a/src/Makefile.test.include
+++ b/src/Makefile.test.include
@@ -25,7 +25,11 @@ JSON_TEST_FILES = \
   test/data/script_invalid.json \
   test/data/tx_invalid.json \
   test/data/tx_valid.json \
-  test/data/sighash.json
+  test/data/sighash.json \
+  test/data/merkle_roots.json \
+  test/data/merkle_serialization.json \
+  test/data/merkle_witness_serialization.json \
+  test/data/merkle_path.json
 
 RAW_TEST_FILES = test/data/alertTests.raw
 
@@ -78,7 +82,8 @@ BITCOIN_TESTS =\
   test/uint256_tests.cpp \
   test/univalue_tests.cpp \
   test/util_tests.cpp \
-  test/sha256compress_tests.cpp
+  test/sha256compress_tests.cpp \
+  test/merkle_tests.cpp
 
 if ENABLE_WALLET
 BITCOIN_TESTS += \

diff --git a/src/coins.h b/src/coins.h
index d128eb9b3fbff15b6d7a6dfaa6b06eeebfb027be..53f047177703b15d34727598266ef42a7aa4cc10 100644 (file)
--- a/src/coins.h
+++ b/src/coins.h
@@ -17,8 +17,7 @@
 #include <boost/foreach.hpp>
 #include <boost/unordered_map.hpp>
 #include "zerocash/IncrementalMerkleTree.h"
-
-static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH = 20;
+#include "zcash/IncrementalMerkleTree.hpp"
 
 /** 
  * Pruned version of CTransaction: only retains metadata and unspent transaction outputs

diff --git a/src/serialize.h b/src/serialize.h
index 0644a852eee700213695fa793d0f365c57c7bb9e..aca3ed0769e07964d302cfd10601786efab73140 100644 (file)
--- a/src/serialize.h
+++ b/src/serialize.h
@@ -752,10 +752,12 @@ void Unserialize(Stream& is, boost::optional<T>& item, int nType, int nVersion)
 
     if (discriminant == 0x00) {
         item = boost::none;
-    } else {
+    } else if (discriminant == 0x01) {
         T object;
         Unserialize(is, object, nType, nVersion);
         item = object;
+    } else {
+        throw std::ios_base::failure("non-canonical optional discriminant");
     }
 }
 

diff --git a/src/test/data/merkle_path.json b/src/test/data/merkle_path.json
new file mode 100644 (file)
index 0000000..91957c4
--- /dev/null
+++ b/src/test/data/merkle_path.json
@@ -0,0 +1,122 @@
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+       "04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401000101",
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+       "04fd000100010001000100010001010000010000010100010100000100010101000101010000010000000001000100000001000101010001000001000101010000010001000001010100010100000000000001000101000101010100000001000101000101000000010101000000010000000100010001010000000100000000010001000100000000000100000000000001010000000001000100000101010000000000010100010100000001000000010101000100010101010001010100010001000001000000010100010101000101010000000101010000000101010101000000000100010101000001010001010100010001000001000100000001000000000101fd000101010001010100000000010100000101010100000100010001000001000000000101010001000000000101000000000001000100010001010001010000010101000101010000000001010001010000000000010001000101010001000100000101000000010101010000010000000000010101000100010001010100000101000101000100010001010101000000010001010000010001000100000101000100000101000000010101010101000101000000010101010101000101000100000101000101000100000000000001010100000001010101000001010101000101010000010001010100000000010000010000000001010100010001010001010000fd000101000000000101000100000100010001010000000001010100000101010100010001010000000101010101000101000000000000010001010101000001010100010101000100010001010001010001010001000101000101010101010001000001010000010100000101000000010100000101010000010000000101010001000101000001000000000000000000010101010000000000010100000000000100000101000101010101010000000101010101000001010101010001010000010100010000010101010101000000010101000101000000000101000000000000000000010100000000000100010100010001010100000001000001010101010001fd0001000100010001000101000101010000000001000100000100000101010100000000000001010001010100000101000001010000010001000101000100000100000001000001010000010000010000010101000001010001010001010000010000010101000001000000010000000000010100010001010100000001000001010100000100000100000100010101000001000101000101010101000001010000010101000001000000010101010001000001010101010001010100000101000100000000010001000000000001010100000101010101010000010000010100000000010000000001000101000000010000010001010000000001010100000001010401010001",
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+]
\ No newline at end of file

diff --git a/src/test/data/merkle_roots.json b/src/test/data/merkle_roots.json
new file mode 100644 (file)
index 0000000..0ed3a89
--- /dev/null
+++ b/src/test/data/merkle_roots.json
@@ -0,0 +1,18 @@
+[
+       "caea625775792fb7553c4e21915b1713ae18b9d03d8e04786014dac6fd83bcd7",
+       "e2ef3d63416cec2325a7468cbc1eefc91575105620c7b76312fc3ce04d70be67",
+       "32dd56bb1128fba775a0dbd12a15e12378ade73d67e04c57ee6336e5d2a78530",
+       "432f637c762e1fe0d17d81d1e4e99c929ddcc7472d13c250897c9b693bd8d360",
+       "cc73383f18247923e9472ac7aa97851a9740d731956683eec67c6dff00427b47",
+       "3197598c9f2345402ac4e5b80ff7eda14e22a7fb954270846ceebb403c7f5c94",
+       "2d97b4feb3a45b79206315da4cf625d3ee739794344f51186b39d9d1c20b9526",
+       "ac42a2e51c799ee492f2ec961780ce87964e7baecea47b8ee77519140c3dd364",
+       "cd1a6cdc8a1db28aedcbd96bfbdcfde5429db68e1d38c4cfb5d0c91bc195ee0e",
+       "d20bb06d178f8a514620c7aa549c8467912abdd97c5e892ef5715ad9ed116c7b",
+       "f6da8716682d600f74fc16bd0187faad6a26b4aa4c24d5c055b216d94516847e",
+       "54c1402e1dfc649dd38d23230ff1cb786f49c85c00e92b378c7b5f3312c5c628",
+       "976d045f7f84687ff64b95f5a686d943b6f2f4f2e4159d552f12ed7c907b65c8",
+       "4480b49acaff4f737d156f7c8dcbbd035f0c4a8450d70eed3c76d30f69d71ece",
+       "a867397884b157b1db4dd03dc2fd6c40c4650e70b61441d4325e0b18d5280fb6",
+       "52c8456d3538eed3b73778c596c1993ac6d6c337ae5e338391ce6cae58296dec"
+]
\ No newline at end of file

diff --git a/src/test/data/merkle_serialization.json b/src/test/data/merkle_serialization.json
new file mode 100644 (file)
index 0000000..9bb8ffe
--- /dev/null
+++ b/src/test/data/merkle_serialization.json
@@ -0,0 +1,18 @@
+[
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30000",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30001018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e301018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3020001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30002018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e302018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c",
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+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443"
+]
\ No newline at end of file

diff --git a/src/test/data/merkle_witness_serialization.json b/src/test/data/merkle_witness_serialization.json
new file mode 100644 (file)
index 0000000..327d833
--- /dev/null
+++ b/src/test/data/merkle_witness_serialization.json
@@ -0,0 +1,138 @@
+[
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+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030000015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443028695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27ddc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e303018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba944301dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c00",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430255b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e38695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e3030001dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba9443018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d00",
+       "0155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e30003018695873d63ec0bceeadb5bf4ccc6723ac803c1826fc7cfb34fc76180305ae27d01dc33ca90e860ab6770d82ba98f20eae6d5e2ca9a63f63f69b40e3cf72e121d6c015564d9772145d2e53b02de2d8e22b10a820614e0d88ebdd48ddc71f0b9ba94430155b852781b9995a44c939b64e441ae2724b96f99c8f4fb9a141cfc9842c4b0e300"
+]
\ No newline at end of file

diff --git a/src/test/merkle_tests.cpp b/src/test/merkle_tests.cpp
new file mode 100644 (file)
index 0000000..883cda1
--- /dev/null
+++ b/src/test/merkle_tests.cpp
@@ -0,0 +1,154 @@
+#include "test/test_bitcoin.h"
+
+#include "data/merkle_roots.json.h"
+#include "data/merkle_serialization.json.h"
+#include "data/merkle_witness_serialization.json.h"
+#include "data/merkle_path.json.h"
+
+#include <iostream>
+
+#include "utilstrencodings.h"
+#include "version.h"
+
+#include <boost/test/unit_test.hpp>
+#include "json/json_spirit_reader_template.h"
+#include "json/json_spirit_utils.h"
+#include "json/json_spirit_writer_template.h"
+using namespace json_spirit;
+extern Array read_json(const std::string& jsondata);
+
+#include "zcash/IncrementalMerkleTree.hpp"
+
+//#define PRINT_JSON 1
+
+using namespace std;
+
+template<typename T, typename U>
+void expect_test_vector(T& it, const U& expected)
+{
+    CDataStream ss1(SER_NETWORK, PROTOCOL_VERSION);
+    ss1 << expected;
+
+    #ifdef PRINT_JSON
+    std::cout << "\t\"" ;
+    std::cout << HexStr(ss1.begin(), ss1.end()) << "\",\n";
+    #else
+    std::string raw = (it++)->get_str();
+    CDataStream ss2(ParseHex(raw), SER_NETWORK, PROTOCOL_VERSION);
+
+    BOOST_CHECK(ss1.size() == ss2.size());
+    BOOST_CHECK(memcmp(&*ss1.begin(), &*ss2.begin(), ss1.size()) == 0);
+    #endif
+}
+
+BOOST_FIXTURE_TEST_SUITE(merkle_tests, BasicTestingSetup)
+
+BOOST_AUTO_TEST_CASE(tree_test_vectors)
+{
+    Array root_tests = read_json(std::string(json_tests::merkle_roots, json_tests::merkle_roots + sizeof(json_tests::merkle_roots)));
+    Array ser_tests = read_json(std::string(json_tests::merkle_serialization, json_tests::merkle_serialization + sizeof(json_tests::merkle_serialization)));
+    Array witness_ser_tests = read_json(std::string(json_tests::merkle_witness_serialization, json_tests::merkle_witness_serialization + sizeof(json_tests::merkle_witness_serialization)));
+    Array path_tests = read_json(std::string(json_tests::merkle_path, json_tests::merkle_path + sizeof(json_tests::merkle_path)));
+
+    Array::iterator root_iterator = root_tests.begin();
+    Array::iterator ser_iterator = ser_tests.begin();
+    Array::iterator witness_ser_iterator = witness_ser_tests.begin();
+    Array::iterator path_iterator = path_tests.begin();
+
+    uint256 test_commitment = uint256S("e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855");
+
+    ZCTestingIncrementalMerkleTree tree;
+
+    // The root of the tree at this point is expected to be null.
+    BOOST_CHECK(tree.root().IsNull());
+
+    // We need to witness at every single point in the tree, so
+    // that the consistency of the tree and the merkle paths can
+    // be checked.
+    vector<ZCTestingIncrementalWitness> witnesses;
+
+    for (size_t i = 0; i < 16; i++) {
+        // Witness here
+        witnesses.push_back(tree.witness());
+
+        // Now append a commitment to the tree
+        tree.append(test_commitment);
+
+        // Check tree root consistency
+        expect_test_vector(root_iterator, tree.root());
+
+        // Check serialization of tree
+        expect_test_vector(ser_iterator, tree);
+
+        bool first = true; // The first witness can never form a path
+        BOOST_FOREACH(ZCTestingIncrementalWitness& wit, witnesses)
+        {
+            // Append the same commitment to all the witnesses
+            wit.append(test_commitment);
+
+            if (first) {
+                BOOST_CHECK_THROW(wit.path(), std::runtime_error);
+            } else {
+                auto path = wit.path();
+
+                expect_test_vector(path_iterator, path);
+            }
+
+            // Check witness serialization
+            expect_test_vector(witness_ser_iterator, wit);
+
+            BOOST_CHECK(wit.root() == tree.root());
+
+            first = false;
+        }
+    }
+
+    // Tree should be full now
+    BOOST_CHECK_THROW(tree.append(uint256()), std::runtime_error);
+
+    BOOST_FOREACH(ZCTestingIncrementalWitness& wit, witnesses)
+    {
+        BOOST_CHECK_THROW(wit.append(uint256()), std::runtime_error);
+    }
+}
+
+BOOST_AUTO_TEST_CASE( deserializeInvalid ) {
+    ZCIncrementalMerkleTree newTree;
+
+    for (size_t i = 0; i < 16; i++) {
+        newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+    }
+
+    newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+
+    CDataStream ss(SER_NETWORK, PROTOCOL_VERSION);
+    ss << newTree;
+
+    ZCTestingIncrementalMerkleTree newTreeSmall;
+    BOOST_CHECK_THROW(ss >> newTreeSmall, std::ios_base::failure);
+}
+
+BOOST_AUTO_TEST_CASE( testZeroElements ) {
+    for (int start = 0; start < 20; start++) {
+        ZCIncrementalMerkleTree newTree;
+
+        BOOST_CHECK(newTree.root() == uint256());
+
+        for (int i = start; i > 0; i--) {
+            newTree.append(uint256S("54d626e08c1c802b305dad30b7e54a82f102390cc92c7d4db112048935236e9c"));
+        }
+
+        uint256 oldroot = newTree.root();
+
+        // At this point, appending tons of null objects to the tree
+        // should preserve its root.
+
+        for (int i = 0; i < 100; i++) {
+            newTree.append(uint256());
+        }
+
+        BOOST_CHECK(newTree.root() == oldroot);
+    }
+}
+
+BOOST_AUTO_TEST_SUITE_END()

diff --git a/src/test/serialize_tests.cpp b/src/test/serialize_tests.cpp
index f7240e4e3742455101c02b821909d5ca7f392ecd..d3e51c7d124b474cdf4bb793318968abec86f05e 100644 (file)
--- a/src/test/serialize_tests.cpp
+++ b/src/test/serialize_tests.cpp
@@ -41,6 +41,15 @@ BOOST_AUTO_TEST_CASE(boost_optional)
     check_ser_rep<boost::optional<unsigned char>>(0xff, {0x01, 0xff});
     check_ser_rep<boost::optional<unsigned char>>(boost::none, {0x00});
     check_ser_rep<boost::optional<std::string>>(std::string("Test"), {0x01, 0x04, 'T', 'e', 's', 't'});
+
+    {
+        // Ensure that canonical optional discriminant is used
+        CDataStream ss(SER_DISK, 0);
+        ss.write("\x02\x04Test", 6);
+        boost::optional<std::string> into;
+
+        BOOST_CHECK_THROW(ss >> into, std::ios_base::failure);
+    }
 }
 
 BOOST_AUTO_TEST_CASE(boost_arrays)

diff --git a/src/zcash/IncrementalMerkleTree.cpp b/src/zcash/IncrementalMerkleTree.cpp
new file mode 100644 (file)
index 0000000..e2543cb
--- /dev/null
+++ b/src/zcash/IncrementalMerkleTree.cpp
@@ -0,0 +1,287 @@
+#include <stdexcept>
+
+#include <boost/foreach.hpp>
+
+#include "zcash/IncrementalMerkleTree.hpp"
+#include "crypto/sha256.h"
+#include "zerocash/utils/util.h" // TODO: remove these utilities
+
+namespace libzcash {
+
+SHA256Compress SHA256Compress::combine(const SHA256Compress& a, const SHA256Compress& b)
+{
+    // This is a performance optimization.
+    if (a.IsNull() && b.IsNull()) {
+        return a;
+    }
+
+    SHA256Compress res = SHA256Compress();
+
+    CSHA256 hasher;
+    hasher.Write(a.begin(), 32);
+    hasher.Write(b.begin(), 32);
+    hasher.FinalizeNoPadding(res.begin());
+
+    return res;
+}
+
+
+template <typename Hash>
+class PathFiller {
+private:
+    std::deque<Hash> queue;
+public:
+    PathFiller() : queue() { }
+    PathFiller(std::deque<Hash> queue) : queue(queue) { }
+
+    Hash next() {
+        if (queue.size() > 0) {
+            Hash h = queue.front();
+            queue.pop_front();
+
+            return h;
+        } else {
+            return Hash();
+        }
+    }
+};
+
+template<size_t Depth, typename Hash>
+void IncrementalMerkleTree<Depth, Hash>::wfcheck() const {
+    if (parents.size() >= Depth) {
+        throw std::ios_base::failure("tree has too many parents");
+    }
+}
+
+template<size_t Depth, typename Hash>
+void IncrementalMerkleTree<Depth, Hash>::append(Hash obj) {
+    if (is_complete(Depth)) {
+        throw std::runtime_error("tree is full");
+    }
+
+    if (!left) {
+        // Set the left leaf
+        left = obj;
+    } else if (!right) {
+        // Set the right leaf
+        right = obj;
+    } else {
+        // Combine the leaves and propagate it up the tree
+        boost::optional<Hash> combined = Hash::combine(*left, *right);
+
+        // Set the left leaf to the object and make the right object none
+        left = obj;
+        right = boost::none;
+
+        // Propagate up the tree as much as needed
+        BOOST_FOREACH(boost::optional<Hash>& parent, parents) {
+            if (parent) {
+                combined = Hash::combine(*parent, *combined);
+                parent = boost::none;
+            } else {
+                parent = *combined;
+                combined = boost::none;
+                break;
+            }
+        }
+
+        if (combined) {
+            // Create a new parent
+            parents.push_back(combined);
+        }
+    }
+}
+
+// This is for allowing the witness to determine if a subtree has filled
+// to a particular depth, or for append() to ensure we're not appending
+// to a full tree.
+template<size_t Depth, typename Hash>
+bool IncrementalMerkleTree<Depth, Hash>::is_complete(size_t depth) const {
+    if (!left || !right) {
+        return false;
+    }
+
+    if (parents.size() != (depth - 1)) {
+        return false;
+    }
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (!parent) {
+            return false;
+        }
+    }
+
+    return true;
+}
+
+// This finds the next "depth" of an unfilled subtree, given that we've filled
+// `skip` uncles/subtrees.
+template<size_t Depth, typename Hash>
+size_t IncrementalMerkleTree<Depth, Hash>::next_depth(size_t skip) const {
+    if (!left) {
+        if (skip) { 
+            skip--;
+        } else {
+            return 0;
+        }
+    }
+
+    if (!right) {
+        if (skip) { 
+            skip--;
+        } else {
+            return 0;
+        }
+    }
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (!parent) {
+            if (skip) {
+                skip--;
+            } else {
+                return d;
+            }
+        }
+
+        d++;
+    }
+
+    return d + skip;
+}
+
+// This calculates the root of the tree.
+template<size_t Depth, typename Hash>
+Hash IncrementalMerkleTree<Depth, Hash>::root(size_t depth,
+                                              std::deque<Hash> filler_hashes) const {
+    PathFiller<Hash> filler(filler_hashes);
+
+    Hash combine_left =  left  ? *left  : filler.next();
+    Hash combine_right = right ? *right : filler.next();
+
+    Hash root = Hash::combine(combine_left, combine_right);
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (parent) {
+            root = Hash::combine(*parent, root);
+        } else {
+            root = Hash::combine(root, filler.next());
+        }
+
+        d++;
+    }
+
+    // We may not have parents for ancestor trees, so we fill
+    // the rest in here.
+    while (d < depth) {
+        root = Hash::combine(root, filler.next());
+        d++;
+    }
+
+    return root;
+}
+
+// This constructs an authentication path into the tree in the format that the circuit
+// wants. The caller provides `filler_hashes` to fill in the uncle subtrees.
+template<size_t Depth, typename Hash>
+MerklePath IncrementalMerkleTree<Depth, Hash>::path(std::deque<Hash> filler_hashes) const {
+    if (!left) {
+        throw std::runtime_error("can't create an authentication path for the beginning of the tree");
+    }
+
+    PathFiller<Hash> filler(filler_hashes);
+
+    std::vector<Hash> path;
+    std::vector<bool> index;
+
+    if (right) {
+        index.push_back(true);
+        path.push_back(*left);
+    } else {
+        index.push_back(false);
+        path.push_back(filler.next());
+    }
+
+    size_t d = 1;
+
+    BOOST_FOREACH(const boost::optional<Hash>& parent, parents) {
+        if (parent) {
+            index.push_back(true);
+            path.push_back(*parent);
+        } else {
+            index.push_back(false);
+            path.push_back(filler.next());
+        }
+
+        d++;
+    }
+
+    while (d < Depth) {
+        index.push_back(false);
+        path.push_back(filler.next());
+        d++;
+    }
+
+    std::vector<std::vector<bool>> merkle_path;
+    BOOST_FOREACH(Hash b, path)
+    {
+        std::vector<unsigned char> hashv(b.begin(), b.end());
+        std::vector<bool> tmp_b;
+
+        libzerocash::convertBytesVectorToVector(hashv, tmp_b);
+
+        merkle_path.push_back(tmp_b);
+    }
+
+    std::reverse(merkle_path.begin(), merkle_path.end());
+    std::reverse(index.begin(), index.end());
+
+    return MerklePath(merkle_path, index);
+}
+
+template<size_t Depth, typename Hash>
+std::deque<Hash> IncrementalWitness<Depth, Hash>::uncle_train() const {
+    std::deque<Hash> uncles(filled.begin(), filled.end());
+
+    if (cursor) {
+        uncles.push_back(cursor->root(cursor_depth));
+    }
+
+    return uncles;
+}
+
+template<size_t Depth, typename Hash>
+void IncrementalWitness<Depth, Hash>::append(Hash obj) {
+    if (cursor) {
+        cursor->append(obj);
+
+        if (cursor->is_complete(cursor_depth)) {
+            filled.push_back(cursor->root(cursor_depth));
+            cursor = boost::none;
+        }
+    } else {
+        cursor_depth = tree.next_depth(filled.size());
+
+        if (cursor_depth >= Depth) {
+            throw std::runtime_error("tree is full");
+        }
+
+        if (cursor_depth == 0) {
+            filled.push_back(obj);
+        } else {
+            cursor = IncrementalMerkleTree<Depth, Hash>();
+            cursor->append(obj);
+        }
+    }
+}
+
+template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
+template class IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
+
+template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH, SHA256Compress>;
+template class IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, SHA256Compress>;
+
+} // end namespace `libzcash`

diff --git a/src/zcash/IncrementalMerkleTree.hpp b/src/zcash/IncrementalMerkleTree.hpp
new file mode 100644 (file)
index 0000000..28cb81e
--- /dev/null
+++ b/src/zcash/IncrementalMerkleTree.hpp
@@ -0,0 +1,129 @@
+#ifndef ZCINCREMENTALMERKLETREE_H_
+#define ZCINCREMENTALMERKLETREE_H_
+
+#include <deque>
+#include <boost/optional.hpp>
+#include <boost/static_assert.hpp>
+
+#include "uint256.h"
+#include "serialize.h"
+
+static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH = 20;
+static const unsigned int INCREMENTAL_MERKLE_TREE_DEPTH_TESTING = 4;
+
+namespace libzcash {
+
+class MerklePath {
+public:
+    std::vector<std::vector<bool>> authentication_path;
+    std::vector<bool> index;
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(authentication_path);
+        READWRITE(index);
+    }
+
+    MerklePath(std::vector<std::vector<bool>> authentication_path, std::vector<bool> index)
+    : authentication_path(authentication_path), index(index) { }
+};
+
+template<size_t Depth, typename Hash>
+class IncrementalWitness;
+
+template<size_t Depth, typename Hash>
+class IncrementalMerkleTree {
+
+friend class IncrementalWitness<Depth, Hash>;
+
+public:
+    BOOST_STATIC_ASSERT(Depth >= 1);
+
+    IncrementalMerkleTree() { }
+
+    void append(Hash obj);
+    Hash root() const {
+        return root(Depth, std::deque<Hash>());
+    }
+
+    IncrementalWitness<Depth, Hash> witness() const {
+        return IncrementalWitness<Depth, Hash>(*this);
+    }
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(left);
+        READWRITE(right);
+        READWRITE(parents);
+
+        wfcheck();
+    }
+
+private:
+    boost::optional<Hash> left;
+    boost::optional<Hash> right;
+    std::vector<boost::optional<Hash>> parents;
+    MerklePath path(std::deque<Hash> filler_hashes = std::deque<Hash>()) const;
+    Hash root(size_t depth, std::deque<Hash> filler_hashes = std::deque<Hash>()) const;
+    bool is_complete(size_t depth = Depth) const;
+    size_t next_depth(size_t skip) const;
+    void wfcheck() const;
+};
+
+template <size_t Depth, typename Hash>
+class IncrementalWitness {
+friend class IncrementalMerkleTree<Depth, Hash>;
+
+public:
+    MerklePath path() const {
+        return tree.path(uncle_train());
+    }
+
+    Hash root() const {
+        return tree.root(Depth, uncle_train());
+    }
+
+    void append(Hash obj);
+
+    ADD_SERIALIZE_METHODS;
+
+    template <typename Stream, typename Operation>
+    inline void SerializationOp(Stream& s, Operation ser_action, int nType, int nVersion) {
+        READWRITE(tree);
+        READWRITE(filled);
+        READWRITE(cursor);
+
+        cursor_depth = tree.next_depth(filled.size());
+    }
+
+private:
+    IncrementalMerkleTree<Depth, Hash> tree;
+    std::vector<Hash> filled;
+    boost::optional<IncrementalMerkleTree<Depth, Hash>> cursor;
+    size_t cursor_depth;
+    std::deque<Hash> uncle_train() const;
+    IncrementalWitness(IncrementalMerkleTree<Depth, Hash> tree) : tree(tree) {}
+};
+
+class SHA256Compress : public uint256 {
+public:
+    SHA256Compress() : uint256() {}
+    SHA256Compress(uint256 contents) : uint256(contents) { }
+
+    static SHA256Compress combine(const SHA256Compress& a, const SHA256Compress& b);
+};
+
+} // end namespace `libzcash`
+
+typedef libzcash::IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH, libzcash::SHA256Compress> ZCIncrementalMerkleTree;
+typedef libzcash::IncrementalMerkleTree<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, libzcash::SHA256Compress> ZCTestingIncrementalMerkleTree;
+
+typedef libzcash::IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH, libzcash::SHA256Compress> ZCIncrementalWitness;
+typedef libzcash::IncrementalWitness<INCREMENTAL_MERKLE_TREE_DEPTH_TESTING, libzcash::SHA256Compress> ZCTestingIncrementalWitness;
+
+#endif /* ZCINCREMENTALMERKLETREE_H_ */
+