BIP32 derivation implementation

src/base58.h

@@ -390,4 +390,30 @@ class CBitcoinSecret : public CBase58Data
     }
 };
 
+
+template<typename K, int Size, CChainParams::Base58Type Type> class CBitcoinExtKeyBase : public CBase58Data
+{
+public:
+    void SetKey(const K &key) {
+        unsigned char vch[Size];
+        key.Encode(vch);
+        SetData(Params().Base58Prefix(Type), vch, vch+Size);
+    }
+
+    K GetKey() {
+        K ret;
+        ret.Decode(&vchData[0], &vchData[Size]);
+        return ret;
+    }
+
+    CBitcoinExtKeyBase(const K &key) {
+        SetKey(key);
+    }
+
+    CBitcoinExtKeyBase() {}
+};
+
+typedef CBitcoinExtKeyBase<CExtKey, 74, CChainParams::EXT_SECRET_KEY> CBitcoinExtKey;
+typedef CBitcoinExtKeyBase<CExtPubKey, 74, CChainParams::EXT_PUBLIC_KEY> CBitcoinExtPubKey;
+
 #endif // BITCOIN_BASE58_H

src/chainparams.cpp

@@ -147,6 +147,8 @@ class CMainParams : public CChainParams {
         base58Prefixes[PUBKEY_ADDRESS] = list_of(0);
         base58Prefixes[SCRIPT_ADDRESS] = list_of(5);
         base58Prefixes[SECRET_KEY] =     list_of(128);
+        base58Prefixes[EXT_PUBLIC_KEY] = list_of(0x04)(0x88)(0xB2)(0x1E);
+        base58Prefixes[EXT_SECRET_KEY] = list_of(0x04)(0x88)(0xAD)(0xE4);
 
         // Convert the pnSeeds array into usable address objects.
         for (unsigned int i = 0; i < ARRAYLEN(pnSeed); i++)
@@ -209,6 +211,8 @@ class CTestNetParams : public CMainParams {
         base58Prefixes[PUBKEY_ADDRESS] = list_of(111);
         base58Prefixes[SCRIPT_ADDRESS] = list_of(196);
         base58Prefixes[SECRET_KEY]     = list_of(239);
+        base58Prefixes[EXT_PUBLIC_KEY] = list_of(0x04)(0x35)(0x87)(0xCF);
+        base58Prefixes[EXT_SECRET_KEY] = list_of(0x04)(0x35)(0x83)(0x94);
     }
     virtual Network NetworkID() const { return CChainParams::TESTNET; }
 };

src/chainparams.h

@@ -45,6 +45,8 @@ class CChainParams
         PUBKEY_ADDRESS,
         SCRIPT_ADDRESS,
         SECRET_KEY,
+        EXT_PUBLIC_KEY,
+        EXT_SECRET_KEY,
 
         MAX_BASE58_TYPES
     };

src/key.cpp

@@ -2,6 +2,7 @@
 // Distributed under the MIT/X11 software license, see the accompanying
 // file COPYING or http://www.opensource.org/licenses/mit-license.php.
 
+#include <openssl/bn.h>
 #include <openssl/ecdsa.h>
 #include <openssl/rand.h>
 #include <openssl/obj_mac.h>
@@ -253,6 +254,57 @@ class CECKey {
         ECDSA_SIG_free(sig);
         return ret;
     }
+
+    static bool TweakSecret(unsigned char vchSecretOut[32], const unsigned char vchSecretIn[32], const unsigned char vchTweak[32])
+    {
+        bool ret = true;
+        BN_CTX *ctx = BN_CTX_new();
+        BN_CTX_start(ctx);
+        BIGNUM *bnSecret = BN_CTX_get(ctx);
+        BIGNUM *bnTweak = BN_CTX_get(ctx);
+        BIGNUM *bnOrder = BN_CTX_get(ctx);
+        EC_GROUP *group = EC_GROUP_new_by_curve_name(NID_secp256k1);
+        EC_GROUP_get_order(group, bnOrder, ctx); // what a grossly inefficient way to get the (constant) group order...
+        BN_bin2bn(vchTweak, 32, bnTweak);
+        if (BN_cmp(bnTweak, bnOrder) >= 0)
+            ret = false; // extremely unlikely
+        BN_bin2bn(vchSecretIn, 32, bnSecret);
+        BN_add(bnSecret, bnSecret, bnTweak);
+        BN_nnmod(bnSecret, bnSecret, bnOrder, ctx);
+        if (BN_is_zero(bnSecret))
+            ret = false; // ridiculously unlikely
+        int nBits = BN_num_bits(bnSecret);
+        memset(vchSecretOut, 0, 32);
+        BN_bn2bin(bnSecret, &vchSecretOut[32-(nBits+7)/8]);
+        EC_GROUP_free(group);
+        BN_CTX_end(ctx);
+        BN_CTX_free(ctx);
+        return ret;
+    }
+
+    bool TweakPublic(const unsigned char vchTweak[32]) {
+        bool ret = true;
+        BN_CTX *ctx = BN_CTX_new();
+        BN_CTX_start(ctx);
+        BIGNUM *bnTweak = BN_CTX_get(ctx);
+        BIGNUM *bnOrder = BN_CTX_get(ctx);
+        BIGNUM *bnOne = BN_CTX_get(ctx);
+        const EC_GROUP *group = EC_KEY_get0_group(pkey);
+        EC_GROUP_get_order(group, bnOrder, ctx); // what a grossly inefficient way to get the (constant) group order...
+        BN_bin2bn(vchTweak, 32, bnTweak);
+        if (BN_cmp(bnTweak, bnOrder) >= 0)
+            ret = false; // extremely unlikely
+        EC_POINT *point = EC_POINT_dup(EC_KEY_get0_public_key(pkey), group);
+        BN_one(bnOne);
+        EC_POINT_mul(group, point, bnTweak, point, bnOne, ctx);
+        if (EC_POINT_is_at_infinity(group, point))
+            ret = false; // ridiculously unlikely
+        EC_KEY_set_public_key(pkey, point);
+        EC_POINT_free(point);
+        BN_CTX_end(ctx);
+        BN_CTX_free(ctx);
+        return ret;
+    }
 };
 
 }; // end of anonymous namespace
@@ -393,3 +445,131 @@ bool CPubKey::Decompress() {
     key.GetPubKey(*this, false);
     return true;
 }
+
+void static BIP32Hash(const unsigned char chainCode[32], unsigned int nChild, unsigned char header, const unsigned char data[32], unsigned char output[64]) {
+    unsigned char num[4];
+    num[0] = (nChild >> 24) & 0xFF;
+    num[1] = (nChild >> 16) & 0xFF;
+    num[2] = (nChild >>  8) & 0xFF;
+    num[3] = (nChild >>  0) & 0xFF;
+    HMAC_SHA512_CTX ctx;
+    HMAC_SHA512_Init(&ctx, chainCode, 32);
+    HMAC_SHA512_Update(&ctx, &header, 1);
+    HMAC_SHA512_Update(&ctx, data, 32);
+    HMAC_SHA512_Update(&ctx, num, 4);
+    HMAC_SHA512_Final(output, &ctx);
+}
+
+bool CKey::Derive(CKey& keyChild, unsigned char ccChild[32], unsigned int nChild, const unsigned char cc[32]) const {
+    assert(IsValid());
+    assert(IsCompressed());
+    unsigned char out[64];
+    LockObject(out);
+    if ((nChild >> 31) == 0) {
+        CPubKey pubkey = GetPubKey();
+        assert(pubkey.begin() + 33 == pubkey.end());
+        BIP32Hash(cc, nChild, *pubkey.begin(), pubkey.begin()+1, out);
+    } else {
+        assert(begin() + 32 == end());
+        BIP32Hash(cc, nChild, 0, begin(), out);
+    }
+    memcpy(ccChild, out+32, 32);
+    bool ret = CECKey::TweakSecret((unsigned char*)keyChild.begin(), begin(), out);
+    UnlockObject(out);
+    keyChild.fCompressed = true;
+    keyChild.fValid = ret;
+    return ret;
+}
+
+bool CPubKey::Derive(CPubKey& pubkeyChild, unsigned char ccChild[32], unsigned int nChild, const unsigned char cc[32]) const {
+    assert(IsValid());
+    assert((nChild >> 31) == 0);
+    assert(begin() + 33 == end());
+    unsigned char out[64];
+    BIP32Hash(cc, nChild, *begin(), begin()+1, out);
+    memcpy(ccChild, out+32, 32);
+    CECKey key;
+    bool ret = key.SetPubKey(*this);
+    ret &= key.TweakPublic(out);
+    key.GetPubKey(pubkeyChild, true);
+    return ret;
+}
+
+bool CExtKey::Derive(CExtKey &out, unsigned int nChild) const {
+    out.nDepth = nDepth + 1;
+    CKeyID id = key.GetPubKey().GetID();
+    memcpy(&out.vchFingerprint[0], &id, 4);
+    out.nChild = nChild;
+    return key.Derive(out.key, out.vchChainCode, nChild, vchChainCode);
+}
+
+void CExtKey::SetMaster(const unsigned char *seed, unsigned int nSeedLen) {
+    static const char hashkey[] = {'B','i','t','c','o','i','n',' ','s','e','e','d'};
+    HMAC_SHA512_CTX ctx;
+    HMAC_SHA512_Init(&ctx, hashkey, sizeof(hashkey));
+    HMAC_SHA512_Update(&ctx, seed, nSeedLen);
+    unsigned char out[64];
+    LockObject(out);
+    HMAC_SHA512_Final(out, &ctx);
+    key.Set(&out[0], &out[32], true);
+    memcpy(vchChainCode, &out[32], 32);
+    UnlockObject(out);
+    nDepth = 0;
+    nChild = 0;
+    memset(vchFingerprint, 0, sizeof(vchFingerprint));
+}
+
+CExtPubKey CExtKey::Neuter() const {
+    CExtPubKey ret;
+    ret.nDepth = nDepth;
+    memcpy(&ret.vchFingerprint[0], &vchFingerprint[0], 4);
+    ret.nChild = nChild;
+    ret.pubkey = key.GetPubKey();
+    memcpy(&ret.vchChainCode[0], &vchChainCode[0], 32);
+    return ret;
+}
+
+void CExtKey::Encode(unsigned char code[74]) const {
+    code[0] = nDepth;
+    memcpy(code+1, vchFingerprint, 4);
+    code[5] = (nChild >> 24) & 0xFF; code[6] = (nChild >> 16) & 0xFF;
+    code[7] = (nChild >>  8) & 0xFF; code[8] = (nChild >>  0) & 0xFF;
+    memcpy(code+9, vchChainCode, 32);
+    code[41] = 0;
+    assert(key.size() == 32);
+    memcpy(code+42, key.begin(), 32);
+}
+
+void CExtKey::Decode(const unsigned char code[74]) {
+    nDepth = code[0];
+    memcpy(vchFingerprint, code+1, 4);
+    nChild = (code[5] << 24) | (code[6] << 16) | (code[7] << 8) | code[8];
+    memcpy(vchChainCode, code+9, 32);
+    key.Set(code+42, code+74, true);
+}
+
+void CExtPubKey::Encode(unsigned char code[74]) const {
+    code[0] = nDepth;
+    memcpy(code+1, vchFingerprint, 4);
+    code[5] = (nChild >> 24) & 0xFF; code[6] = (nChild >> 16) & 0xFF;
+    code[7] = (nChild >>  8) & 0xFF; code[8] = (nChild >>  0) & 0xFF;
+    memcpy(code+9, vchChainCode, 32);
+    assert(pubkey.size() == 33);
+    memcpy(code+41, pubkey.begin(), 33);
+}
+
+void CExtPubKey::Decode(const unsigned char code[74]) {
+    nDepth = code[0];
+    memcpy(vchFingerprint, code+1, 4);
+    nChild = (code[5] << 24) | (code[6] << 16) | (code[7] << 8) | code[8];
+    memcpy(vchChainCode, code+9, 32);
+    pubkey.Set(code+41, code+74);
+}
+
+bool CExtPubKey::Derive(CExtPubKey &out, unsigned int nChild) const {
+    out.nDepth = nDepth + 1;
+    CKeyID id = pubkey.GetID();
+    memcpy(&out.vchFingerprint[0], &id, 4);
+    out.nChild = nChild;
+    return pubkey.Derive(out.pubkey, out.vchChainCode, nChild, vchChainCode);
+}

src/key.h

@@ -161,6 +161,9 @@ class CPubKey {
 
     // Turn this public key into an uncompressed public key.
     bool Decompress();
+
+    // Derive BIP32 child pubkey.
+    bool Derive(CPubKey& pubkeyChild, unsigned char ccChild[32], unsigned int nChild, const unsigned char cc[32]) const;
 };
 
 
@@ -201,6 +204,10 @@ class CKey {
         UnlockObject(vch);
     }
 
+    friend bool operator==(const CKey &a, const CKey &b) {
+        return a.fCompressed == b.fCompressed && memcmp(&a.vch[0], &b.vch[0], 32);
+    }
+
     // Initialize using begin and end iterators to byte data.
     template<typename T>
     void Set(const T pbegin, const T pend, bool fCompressedIn) {
@@ -251,6 +258,45 @@ class CKey {
     //                  0x1D = second key with even y, 0x1E = second key with odd y,
     //                  add 0x04 for compressed keys.
     bool SignCompact(const uint256 &hash, std::vector<unsigned char>& vchSig) const;
+
+    // Derive BIP32 child key.
+    bool Derive(CKey& keyChild, unsigned char ccChild[32], unsigned int nChild, const unsigned char cc[32]) const;
+};
+
+struct CExtPubKey {
+    unsigned char nDepth;
+    unsigned char vchFingerprint[4];
+    unsigned int nChild;
+    unsigned char vchChainCode[32];
+    CPubKey pubkey;
+
+    friend bool operator==(const CExtPubKey &a, const CExtPubKey &b) {
+        return a.nDepth == b.nDepth && memcmp(&a.vchFingerprint[0], &b.vchFingerprint[0], 4) == 0 && a.nChild == b.nChild &&
+               memcmp(&a.vchChainCode[0], &b.vchChainCode[0], 32) == 0 && a.pubkey == b.pubkey;
+    }
+
+    void Encode(unsigned char code[74]) const;
+    void Decode(const unsigned char code[74]);
+    bool Derive(CExtPubKey &out, unsigned int nChild) const;
+};
+
+struct CExtKey {
+    unsigned char nDepth;
+    unsigned char vchFingerprint[4];
+    unsigned int nChild;
+    unsigned char vchChainCode[32];
+    CKey key;
+
+    friend bool operator==(const CExtKey &a, const CExtKey &b) {
+        return a.nDepth == b.nDepth && memcmp(&a.vchFingerprint[0], &b.vchFingerprint[0], 4) == 0 && a.nChild == b.nChild &&
+               memcmp(&a.vchChainCode[0], &b.vchChainCode[0], 32) == 0 && a.key == b.key;
+    }
+
+    void Encode(unsigned char code[74]) const;
+    void Decode(const unsigned char code[74]);
+    bool Derive(CExtKey &out, unsigned int nChild) const;
+    CExtPubKey Neuter() const;
+    void SetMaster(const unsigned char *seed, unsigned int nSeedLen);
 };
 
 #endif