Support for Schnorr signatures and integration in SignatureCheckers (BIP 340)

This enables the schnorrsig module in libsecp256k1, adds the relevant types
and functions to src/pubkey, as well as in higher-level `SignatureChecker`
classes. The (verification side of the) BIP340 test vectors is also added.

12 files changed, 163 insertions, 11 deletions

diff --git a/src/pubkey.cpp b/src/pubkey.cpp
index fc14f41a0c..69e3d91392 100644
--- a/src/pubkey.cpp
+++ b/src/pubkey.cpp
@@ -7,6 +7,7 @@
 
 #include <secp256k1.h>
 #include <secp256k1_recovery.h>
+#include <secp256k1_schnorrsig.h>
 
 namespace
 {
@@ -166,6 +167,20 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
     return 1;
 }
 
+XOnlyPubKey::XOnlyPubKey(Span<const unsigned char> bytes)
+{
+    assert(bytes.size() == 32);
+    std::copy(bytes.begin(), bytes.end(), m_keydata.begin());
+}
+
+bool XOnlyPubKey::VerifySchnorr(const uint256& msg, Span<const unsigned char> sigbytes) const
+{
+    assert(sigbytes.size() == 64);
+    secp256k1_xonly_pubkey pubkey;
+    if (!secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &pubkey, m_keydata.data())) return false;
+    return secp256k1_schnorrsig_verify(secp256k1_context_verify, sigbytes.data(), msg.begin(), &pubkey);
+}
+
 bool CPubKey::Verify(const uint256 &hash, const std::vector<unsigned char>& vchSig) const {
     if (!IsValid())
         return false;
diff --git a/src/pubkey.h b/src/pubkey.h
index cd1049f66f..1a818037d1 100644
--- a/src/pubkey.h
+++ b/src/pubkey.h
@@ -9,6 +9,7 @@
 
 #include <hash.h>
 #include <serialize.h>
+#include <span.h>
 #include <uint256.h>
 
 #include <stdexcept>
@@ -206,6 +207,25 @@ public:
     bool Derive(CPubKey& pubkeyChild, ChainCode &ccChild, unsigned int nChild, const ChainCode& cc) const;
 };
 
+class XOnlyPubKey
+{
+private:
+    uint256 m_keydata;
+
+public:
+    /** Construct an x-only pubkey from exactly 32 bytes. */
+    XOnlyPubKey(Span<const unsigned char> bytes);
+
+    /** Verify a Schnorr signature against this public key.
+     *
+     * sigbytes must be exactly 64 bytes.
+     */
+    bool VerifySchnorr(const uint256& msg, Span<const unsigned char> sigbytes) const;
+
+    const unsigned char& operator[](int pos) const { return *(m_keydata.begin() + pos); }
+    size_t size() const { return m_keydata.size(); }
+};
+
 struct CExtPubKey {
     unsigned char nDepth;
     unsigned char vchFingerprint[4];
diff --git a/src/script/interpreter.cpp b/src/script/interpreter.cpp
index af8fd4912e..aef6e28118 100644
--- a/src/script/interpreter.cpp
+++ b/src/script/interpreter.cpp
@@ -1522,6 +1522,12 @@ bool GenericTransactionSignatureChecker<T>::VerifyECDSASignature(const std::vect
 }
 
 template <class T>
+bool GenericTransactionSignatureChecker<T>::VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const
+{
+    return pubkey.VerifySchnorr(sighash, sig);
+}
+
+template <class T>
 bool GenericTransactionSignatureChecker<T>::CheckECDSASignature(const std::vector<unsigned char>& vchSigIn, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const
 {
     CPubKey pubkey(vchPubKey);
@@ -1544,6 +1550,30 @@ bool GenericTransactionSignatureChecker<T>::CheckECDSASignature(const std::vecto
 }
 
 template <class T>
+bool GenericTransactionSignatureChecker<T>::CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey_in, SigVersion sigversion, ScriptError* serror) const
+{
+    assert(sigversion == SigVersion::TAPROOT);
+    // Schnorr signatures have 32-byte public keys. The caller is responsible for enforcing this.
+    assert(pubkey_in.size() == 32);
+    if (sig.size() != 64 && sig.size() != 65) return set_error(serror, SCRIPT_ERR_SCHNORR_SIG_SIZE);
+
+    XOnlyPubKey pubkey{pubkey_in};
+
+    uint8_t hashtype = SIGHASH_DEFAULT;
+    if (sig.size() == 65) {
+        hashtype = SpanPopBack(sig);
+        if (hashtype == SIGHASH_DEFAULT) return set_error(serror, SCRIPT_ERR_SCHNORR_SIG_HASHTYPE);
+    }
+    uint256 sighash;
+    assert(this->txdata);
+    if (!SignatureHashSchnorr(sighash, *txTo, nIn, hashtype, sigversion, *this->txdata)) {
+        return set_error(serror, SCRIPT_ERR_SCHNORR_SIG_HASHTYPE);
+    }
+    if (!VerifySchnorrSignature(sig, pubkey, sighash)) return set_error(serror, SCRIPT_ERR_SCHNORR_SIG);
+    return true;
+}
+
+template <class T>
 bool GenericTransactionSignatureChecker<T>::CheckLockTime(const CScriptNum& nLockTime) const
 {
     // There are two kinds of nLockTime: lock-by-blockheight
diff --git a/src/script/interpreter.h b/src/script/interpreter.h
index b739528f0f..e54243c8f0 100644
--- a/src/script/interpreter.h
+++ b/src/script/interpreter.h
@@ -7,12 +7,14 @@
 #define BITCOIN_SCRIPT_INTERPRETER_H
 
 #include <script/script_error.h>
+#include <span.h>
 #include <primitives/transaction.h>
 
 #include <vector>
 #include <stdint.h>
 
 class CPubKey;
+class XOnlyPubKey;
 class CScript;
 class CTransaction;
 class CTxOut;
@@ -176,6 +178,11 @@ public:
         return false;
     }
 
+    virtual bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptError* serror = nullptr) const
+    {
+        return false;
+    }
+
     virtual bool CheckLockTime(const CScriptNum& nLockTime) const
     {
          return false;
@@ -200,11 +207,13 @@ private:
 
 protected:
     virtual bool VerifyECDSASignature(const std::vector<unsigned char>& vchSig, const CPubKey& vchPubKey, const uint256& sighash) const;
+    virtual bool VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const;
 
 public:
     GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn) : txTo(txToIn), nIn(nInIn), amount(amountIn), txdata(nullptr) {}
     GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn, const PrecomputedTransactionData& txdataIn) : txTo(txToIn), nIn(nInIn), amount(amountIn), txdata(&txdataIn) {}
     bool CheckECDSASignature(const std::vector<unsigned char>& scriptSig, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const override;
+    bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptError* serror = nullptr) const override;
     bool CheckLockTime(const CScriptNum& nLockTime) const override;
     bool CheckSequence(const CScriptNum& nSequence) const override;
 };
diff --git a/src/script/script_error.cpp b/src/script/script_error.cpp
index 3b383393f9..9c49ced3ed 100644
--- a/src/script/script_error.cpp
+++ b/src/script/script_error.cpp
@@ -91,6 +91,12 @@ std::string ScriptErrorString(const ScriptError serror)
             return "Witness provided for non-witness script";
         case SCRIPT_ERR_WITNESS_PUBKEYTYPE:
             return "Using non-compressed keys in segwit";
+        case SCRIPT_ERR_SCHNORR_SIG_SIZE:
+            return "Invalid Schnorr signature size";
+        case SCRIPT_ERR_SCHNORR_SIG_HASHTYPE:
+            return "Invalid Schnorr signature hash type";
+        case SCRIPT_ERR_SCHNORR_SIG:
+            return "Invalid Schnorr signature";
         case SCRIPT_ERR_OP_CODESEPARATOR:
             return "Using OP_CODESEPARATOR in non-witness script";
         case SCRIPT_ERR_SIG_FINDANDDELETE:
diff --git a/src/script/script_error.h b/src/script/script_error.h
index 2978c147e1..c79a11a94b 100644
--- a/src/script/script_error.h
+++ b/src/script/script_error.h
@@ -66,6 +66,11 @@ typedef enum ScriptError_t
     SCRIPT_ERR_WITNESS_UNEXPECTED,
     SCRIPT_ERR_WITNESS_PUBKEYTYPE,
 
+    /* Taproot */
+    SCRIPT_ERR_SCHNORR_SIG_SIZE,
+    SCRIPT_ERR_SCHNORR_SIG_HASHTYPE,
+    SCRIPT_ERR_SCHNORR_SIG,
+
     /* Constant scriptCode */
     SCRIPT_ERR_OP_CODESEPARATOR,
     SCRIPT_ERR_SIG_FINDANDDELETE,
diff --git a/src/script/sigcache.cpp b/src/script/sigcache.cpp
index b9ba006e47..4a6e04f2eb 100644
--- a/src/script/sigcache.cpp
+++ b/src/script/sigcache.cpp
@@ -22,8 +22,9 @@ namespace {
 class CSignatureCache
 {
 private:
-     //! Entries are SHA256(nonce || signature hash || public key || signature):
-    CSHA256 m_salted_hasher;
+     //! Entries are SHA256(nonce || 'E' or 'S' || 31 zero bytes || signature hash || public key || signature):
+    CSHA256 m_salted_hasher_ecdsa;
+    CSHA256 m_salted_hasher_schnorr;
     typedef CuckooCache::cache<uint256, SignatureCacheHasher> map_type;
     map_type setValid;
     boost::shared_mutex cs_sigcache;
@@ -34,18 +35,30 @@ public:
         uint256 nonce = GetRandHash();
         // We want the nonce to be 64 bytes long to force the hasher to process
         // this chunk, which makes later hash computations more efficient. We
-        // just write our 32-byte entropy twice to fill the 64 bytes.
-        m_salted_hasher.Write(nonce.begin(), 32);
-        m_salted_hasher.Write(nonce.begin(), 32);
+        // just write our 32-byte entropy, and then pad with 'E' for ECDSA and
+        // 'S' for Schnorr (followed by 0 bytes).
+        static constexpr unsigned char PADDING_ECDSA[32] = {'E'};
+        static constexpr unsigned char PADDING_SCHNORR[32] = {'S'};
+        m_salted_hasher_ecdsa.Write(nonce.begin(), 32);
+        m_salted_hasher_ecdsa.Write(PADDING_ECDSA, 32);
+        m_salted_hasher_schnorr.Write(nonce.begin(), 32);
+        m_salted_hasher_schnorr.Write(PADDING_SCHNORR, 32);
     }
 
     void
     ComputeEntryECDSA(uint256& entry, const uint256 &hash, const std::vector<unsigned char>& vchSig, const CPubKey& pubkey)
     {
-        CSHA256 hasher = m_salted_hasher;
+        CSHA256 hasher = m_salted_hasher_ecdsa;
         hasher.Write(hash.begin(), 32).Write(&pubkey[0], pubkey.size()).Write(&vchSig[0], vchSig.size()).Finalize(entry.begin());
     }
 
+    void
+    ComputeEntrySchnorr(uint256& entry, const uint256 &hash, Span<const unsigned char> sig, const XOnlyPubKey& pubkey)
+    {
+        CSHA256 hasher = m_salted_hasher_schnorr;
+        hasher.Write(hash.begin(), 32).Write(&pubkey[0], pubkey.size()).Write(sig.data(), sig.size()).Finalize(entry.begin());
+    }
+
     bool
     Get(const uint256& entry, const bool erase)
     {
@@ -97,3 +110,13 @@ bool CachingTransactionSignatureChecker::VerifyECDSASignature(const std::vector<
         signatureCache.Set(entry);
     return true;
 }
+
+bool CachingTransactionSignatureChecker::VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const
+{
+    uint256 entry;
+    signatureCache.ComputeEntrySchnorr(entry, sighash, sig, pubkey);
+    if (signatureCache.Get(entry, !store)) return true;
+    if (!TransactionSignatureChecker::VerifySchnorrSignature(sig, pubkey, sighash)) return false;
+    if (store) signatureCache.Set(entry);
+    return true;
+}
diff --git a/src/script/sigcache.h b/src/script/sigcache.h
index 49c6b192e9..00534f9758 100644
--- a/src/script/sigcache.h
+++ b/src/script/sigcache.h
@@ -7,6 +7,7 @@
 #define BITCOIN_SCRIPT_SIGCACHE_H
 
 #include <script/interpreter.h>
+#include <span.h>
 
 #include <vector>
 
@@ -49,6 +50,7 @@ public:
     CachingTransactionSignatureChecker(const CTransaction* txToIn, unsigned int nInIn, const CAmount& amountIn, bool storeIn, PrecomputedTransactionData& txdataIn) : TransactionSignatureChecker(txToIn, nInIn, amountIn, txdataIn), store(storeIn) {}
 
     bool VerifyECDSASignature(const std::vector<unsigned char>& vchSig, const CPubKey& vchPubKey, const uint256& sighash) const override;
+    bool VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const override;
 };
 
 void InitSignatureCache();
diff --git a/src/script/sign.h b/src/script/sign.h
index b77d26c0d7..a1cfe1574d 100644
--- a/src/script/sign.h
+++ b/src/script/sign.h
@@ -11,6 +11,7 @@
 #include <pubkey.h>
 #include <script/interpreter.h>
 #include <script/keyorigin.h>
+#include <span.h>
 #include <streams.h>
 
 class CKey;
diff --git a/src/test/fuzz/script_sigcache.cpp b/src/test/fuzz/script_sigcache.cpp
index 0de1617d57..87af71897b 100644
--- a/src/test/fuzz/script_sigcache.cpp
+++ b/src/test/fuzz/script_sigcache.cpp
@@ -35,11 +35,19 @@ void test_one_input(const std::vector<uint8_t>& buffer)
     const bool store = fuzzed_data_provider.ConsumeBool();
     PrecomputedTransactionData tx_data;
     CachingTransactionSignatureChecker caching_transaction_signature_checker{mutable_transaction ? &tx : nullptr, n_in, amount, store, tx_data};
-    const std::optional<CPubKey> pub_key = ConsumeDeserializable<CPubKey>(fuzzed_data_provider);
-    if (pub_key) {
-        const std::vector<uint8_t> random_bytes = ConsumeRandomLengthByteVector(fuzzed_data_provider);
-        if (!random_bytes.empty()) {
-            (void)caching_transaction_signature_checker.VerifyECDSASignature(random_bytes, *pub_key, ConsumeUInt256(fuzzed_data_provider));
+    if (fuzzed_data_provider.ConsumeBool()) {
+        const auto random_bytes = fuzzed_data_provider.ConsumeBytes<unsigned char>(64);
+        const XOnlyPubKey pub_key(ConsumeUInt256(fuzzed_data_provider));
+        if (random_bytes.size() == 64) {
+            (void)caching_transaction_signature_checker.VerifySchnorrSignature(random_bytes, pub_key, ConsumeUInt256(fuzzed_data_provider));
+        }
+    } else {
+        const auto random_bytes = ConsumeRandomLengthByteVector(fuzzed_data_provider);
+        const auto pub_key = ConsumeDeserializable<CPubKey>(fuzzed_data_provider);
+        if (pub_key) {
+            if (!random_bytes.empty()) {
+                (void)caching_transaction_signature_checker.VerifyECDSASignature(random_bytes, *pub_key, ConsumeUInt256(fuzzed_data_provider));
+            }
         }
     }
 }
diff --git a/src/test/fuzz/signature_checker.cpp b/src/test/fuzz/signature_checker.cpp
index fb54476095..f538c9272e 100644
--- a/src/test/fuzz/signature_checker.cpp
+++ b/src/test/fuzz/signature_checker.cpp
@@ -33,6 +33,11 @@ public:
         return m_fuzzed_data_provider.ConsumeBool();
     }
 
+    bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptError* serror = nullptr) const override
+    {
+        return m_fuzzed_data_provider.ConsumeBool();
+    }
+
     bool CheckLockTime(const CScriptNum& nLockTime) const override
     {
         return m_fuzzed_data_provider.ConsumeBool();
diff --git a/src/test/key_tests.cpp b/src/test/key_tests.cpp
index 4e4c44266a..3362b8d17c 100644
--- a/src/test/key_tests.cpp
+++ b/src/test/key_tests.cpp
@@ -264,4 +264,32 @@ BOOST_AUTO_TEST_CASE(pubkey_unserialize)
     }
 }
 
+BOOST_AUTO_TEST_CASE(bip340_test_vectors)
+{
+    static const std::vector<std::pair<std::array<std::string, 3>, bool>> VECTORS = {
+        {{"F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9", "0000000000000000000000000000000000000000000000000000000000000000", "E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0"}, true},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A"}, true},
+        {{"DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8", "7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C", "5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7"}, true},
+        {{"25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3"}, true},
+        {{"D69C3509BB99E412E68B0FE8544E72837DFA30746D8BE2AA65975F29D22DC7B9", "4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703", "00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C6376AFB1548AF603B3EB45C9F8207DEE1060CB71C04E80F593060B07D28308D7F4"}, true},
+        {{"EEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "1FA62E331EDBC21C394792D2AB1100A7B432B013DF3F6FF4F99FCB33E0E1515F28890B3EDB6E7189B630448B515CE4F8622A954CFE545735AAEA5134FCCDB2BD"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769961764B3AA9B2FFCB6EF947B6887A226E8D7C93E00C5ED0C1834FF0D0C2E6DA6"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "0000000000000000000000000000000000000000000000000000000000000000123DDA8328AF9C23A94C1FEECFD123BA4FB73476F0D594DCB65C6425BD186051"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "00000000000000000000000000000000000000000000000000000000000000017615FBAF5AE28864013C099742DEADB4DBA87F11AC6754F93780D5A1837CF197"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F69E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"}, false},
+        {{"DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E177769FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141"}, false},
+        {{"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6CFF5C3BA86C69EA4B7376F31A9BCB4F74C1976089B2D9963DA2E5543E17776969E89B4C5564D00349106B8497785DD7D1D713A8AE82B32FA79D5F7FC407D39B"}, false}
+    };
+
+    for (const auto& test : VECTORS) {
+        auto pubkey = ParseHex(test.first[0]);
+        auto msg = ParseHex(test.first[1]);
+        auto sig = ParseHex(test.first[2]);
+        BOOST_CHECK_EQUAL(XOnlyPubKey(pubkey).VerifySchnorr(uint256(msg), sig), test.second);
+    }
+}
+
 BOOST_AUTO_TEST_SUITE_END()