Add tr() descriptor (derivation only, no signing)

This adds a new descriptor with syntax e.g. tr(KEY,{S1,{{S2,S3},S4})
where KEY is a key expression for the internal key and S_i are
script expression for the leaves. They have to be organized in
nested {A,B} groups, with exactly two elements.

tr() only exists at the top level, and inside the script expressions
only pk() scripts are allowed for now.

doc/descriptors.md

@@ -30,6 +30,7 @@ Output descriptors currently support:
 - Pay-to-witness-pubkey-hash scripts (P2WPKH), through the `wpkh` function.
 - Pay-to-script-hash scripts (P2SH), through the `sh` function.
 - Pay-to-witness-script-hash scripts (P2WSH), through the `wsh` function.
+- Pay-to-taproot outputs (P2TR), through the `tr` function.
 - Multisig scripts, through the `multi` function.
 - Multisig scripts where the public keys are sorted lexicographically, through the `sortedmulti` function.
 - Any type of supported address through the `addr` function.
@@ -54,6 +55,7 @@ Output descriptors currently support:
 - `pkh([d34db33f/44'/0'/0']xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL/1/*)` describes a set of P2PKH outputs, but additionally specifies that the specified xpub is a child of a master with fingerprint `d34db33f`, and derived using path `44'/0'/0'`.
 - `wsh(multi(1,xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/1/0/*,xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/0/0/*))` describes a set of *1-of-2* P2WSH multisig outputs where the first multisig key is the *1/0/`i`* child of the first specified xpub and the second multisig key is the *0/0/`i`* child of the second specified xpub, and `i` is any number in a configurable range (`0-1000` by default).
 - `wsh(sortedmulti(1,xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/1/0/*,xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/0/0/*))` describes a set of *1-of-2* P2WSH multisig outputs where one multisig key is the *1/0/`i`* child of the first specified xpub and the other multisig key is the *0/0/`i`* child of the second specified xpub, and `i` is any number in a configurable range (`0-1000` by default). The order of public keys in the resulting witnessScripts is determined by the lexicographic order of the public keys at that index.
+- `tr(c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5,{pk(fff97bd5755eeea420453a14355235d382f6472f8568a18b2f057a1460297556),pk(e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13)})` describes a P2TR output with the `c6...` x-only pubkey as internal key, and two script paths.
 
 ## Reference
 
@@ -61,13 +63,14 @@ Descriptors consist of several types of expressions. The top level expression is
 
 `SCRIPT` expressions:
 - `sh(SCRIPT)` (top level only): P2SH embed the argument.
-- `wsh(SCRIPT)` (not inside another 'wsh'): P2WSH embed the argument.
+- `wsh(SCRIPT)` (top level or inside `sh` only): P2WSH embed the argument.
 - `pk(KEY)` (anywhere): P2PK output for the given public key.
-- `pkh(KEY)` (anywhere): P2PKH output for the given public key (use `addr` if you only know the pubkey hash).
-- `wpkh(KEY)` (not inside `wsh`): P2WPKH output for the given compressed pubkey.
+- `pkh(KEY)` (not inside `tr`): P2PKH output for the given public key (use `addr` if you only know the pubkey hash).
+- `wpkh(KEY)` (top level or inside `sh` only): P2WPKH output for the given compressed pubkey.
 - `combo(KEY)` (top level only): an alias for the collection of `pk(KEY)` and `pkh(KEY)`. If the key is compressed, it also includes `wpkh(KEY)` and `sh(wpkh(KEY))`.
-- `multi(k,KEY_1,KEY_2,...,KEY_n)` (anywhere): k-of-n multisig script.
-- `sortedmulti(k,KEY_1,KEY_2,...,KEY_n)` (anywhere): k-of-n multisig script with keys sorted lexicographically in the resulting script.
+- `multi(k,KEY_1,KEY_2,...,KEY_n)` (not inside `tr`): k-of-n multisig script.
+- `sortedmulti(k,KEY_1,KEY_2,...,KEY_n)` (not inside `tr`): k-of-n multisig script with keys sorted lexicographically in the resulting script.
+- `tr(KEY)` or `tr(KEY,TREE)` (top level only): P2TR output with the specified key as internal key, and optionally a tree of script paths.
 - `addr(ADDR)` (top level only): the script which ADDR expands to.
 - `raw(HEX)` (top level only): the script whose hex encoding is HEX.
 
@@ -80,12 +83,17 @@ Descriptors consist of several types of expressions. The top level expression is
 - Followed by the actual key, which is either:
   - Hex encoded public keys (either 66 characters starting with `02` or `03` for a compressed pubkey, or 130 characters starting with `04` for an uncompressed pubkey).
     - Inside `wpkh` and `wsh`, only compressed public keys are permitted.
+    - Inside `tr`, x-only pubkeys are also permitted (64 hex characters).
   - [WIF](https://en.bitcoin.it/wiki/Wallet_import_format) encoded private keys may be specified instead of the corresponding public key, with the same meaning.
   - `xpub` encoded extended public key or `xprv` encoded extended private key (as defined in [BIP 32](https://github.com/bitcoin/bips/blob/master/bip-0032.mediawiki)).
     - Followed by zero or more `/NUM` unhardened and `/NUM'` hardened BIP32 derivation steps.
     - Optionally followed by a single `/*` or `/*'` final step to denote all (direct) unhardened or hardened children.
     - The usage of hardened derivation steps requires providing the private key.
 
+`TREE` expressions:
+- any `SCRIPT` expression
+- An open brace `{`, a `TREE` expression, a comma `,`, a `TREE` expression, and a closing brace `}`
+
 (Anywhere a `'` suffix is permitted to denote hardened derivation, the suffix `h` can be used instead.)
 
 `ADDR` expressions are any type of supported address:

src/pubkey.h

@@ -237,6 +237,9 @@ public:
     /** Construct an x-only pubkey from exactly 32 bytes. */
     explicit XOnlyPubKey(Span<const unsigned char> bytes);
 
+    /** Construct an x-only pubkey from a normal pubkey. */
+    explicit XOnlyPubKey(const CPubKey& pubkey) : XOnlyPubKey(Span<const unsigned char>(pubkey.begin() + 1, pubkey.begin() + 33)) {}
+
     /** Verify a Schnorr signature against this public key.
      *
      * sigbytes must be exactly 64 bytes.

src/script/descriptor.cpp

@@ -241,9 +241,10 @@ public:
 class ConstPubkeyProvider final : public PubkeyProvider
 {
     CPubKey m_pubkey;
+    bool m_xonly;
 
 public:
-    ConstPubkeyProvider(uint32_t exp_index, const CPubKey& pubkey) : PubkeyProvider(exp_index), m_pubkey(pubkey) {}
+    ConstPubkeyProvider(uint32_t exp_index, const CPubKey& pubkey, bool xonly = false) : PubkeyProvider(exp_index), m_pubkey(pubkey), m_xonly(xonly) {}
     bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) override
     {
         key = m_pubkey;
@@ -254,7 +255,7 @@ public:
     }
     bool IsRange() const override { return false; }
     size_t GetSize() const override { return m_pubkey.size(); }
-    std::string ToString() const override { return HexStr(m_pubkey); }
+    std::string ToString() const override { return m_xonly ? HexStr(m_pubkey).substr(2) : HexStr(m_pubkey); }
     bool ToPrivateString(const SigningProvider& arg, std::string& ret) const override
     {
         CKey key;
@@ -505,6 +506,7 @@ protected:
 public:
     DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args() {}
     DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, std::unique_ptr<DescriptorImpl> script, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args(Vector(std::move(script))) {}
+    DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, std::vector<std::unique_ptr<DescriptorImpl>> scripts, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args(std::move(scripts)) {}
 
     bool IsSolvable() const override
     {
@@ -693,10 +695,20 @@ public:
 /** A parsed pk(P) descriptor. */
 class PKDescriptor final : public DescriptorImpl
 {
+private:
+    const bool m_xonly;
 protected:
-    std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider&) const override { return Vector(GetScriptForRawPubKey(keys[0])); }
+    std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider&) const override
+    {
+        if (m_xonly) {
+            CScript script = CScript() << ToByteVector(XOnlyPubKey(keys[0])) << OP_CHECKSIG;
+            return Vector(std::move(script));
+        } else {
+            return Vector(GetScriptForRawPubKey(keys[0]));
+        }
+    }
 public:
-    PKDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), "pk") {}
+    PKDescriptor(std::unique_ptr<PubkeyProvider> prov, bool xonly = false) : DescriptorImpl(Vector(std::move(prov)), "pk"), m_xonly(xonly) {}
     bool IsSingleType() const final { return true; }
 };
 
@@ -814,6 +826,56 @@ public:
     bool IsSingleType() const final { return true; }
 };
 
+/** A parsed tr(...) descriptor. */
+class TRDescriptor final : public DescriptorImpl
+{
+    std::vector<int> m_depths;
+protected:
+    std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript> scripts, FlatSigningProvider& out) const override
+    {
+        TaprootBuilder builder;
+        assert(m_depths.size() == scripts.size());
+        for (size_t pos = 0; pos < m_depths.size(); ++pos) {
+            builder.Add(m_depths[pos], scripts[pos], TAPROOT_LEAF_TAPSCRIPT);
+        }
+        if (!builder.IsComplete()) return {};
+        assert(keys.size() == 1);
+        XOnlyPubKey xpk(keys[0]);
+        if (!xpk.IsFullyValid()) return {};
+        builder.Finalize(xpk);
+        return Vector(GetScriptForDestination(builder.GetOutput()));
+    }
+    bool ToStringSubScriptHelper(const SigningProvider* arg, std::string& ret, bool priv, bool normalized) const override
+    {
+        if (m_depths.empty()) return true;
+        std::vector<bool> path;
+        for (size_t pos = 0; pos < m_depths.size(); ++pos) {
+            if (pos) ret += ',';
+            while ((int)path.size() <= m_depths[pos]) {
+                if (path.size()) ret += '{';
+                path.push_back(false);
+            }
+            std::string tmp;
+            if (!m_subdescriptor_args[pos]->ToStringHelper(arg, tmp, priv, normalized)) return false;
+            ret += std::move(tmp);
+            while (!path.empty() && path.back()) {
+                if (path.size() > 1) ret += '}';
+                path.pop_back();
+            }
+            if (!path.empty()) path.back() = true;
+        }
+        return true;
+    }
+public:
+    TRDescriptor(std::unique_ptr<PubkeyProvider> internal_key, std::vector<std::unique_ptr<DescriptorImpl>> descs, std::vector<int> depths) :
+        DescriptorImpl(Vector(std::move(internal_key)), std::move(descs), "tr"), m_depths(std::move(depths))
+    {
+        assert(m_subdescriptor_args.size() == m_depths.size());
+    }
+    std::optional<OutputType> GetOutputType() const override { return OutputType::BECH32; }
+    bool IsSingleType() const final { return true; }
+};
+
 ////////////////////////////////////////////////////////////////////////////
 // Parser                                                                 //
 ////////////////////////////////////////////////////////////////////////////
@@ -823,6 +885,7 @@ enum class ParseScriptContext {
     P2SH,    //!< Inside sh() (script becomes P2SH redeemScript)
     P2WPKH,  //!< Inside wpkh() (no script, pubkey only)
     P2WSH,   //!< Inside wsh() (script becomes v0 witness script)
+    P2TR,    //!< Inside tr() (either internal key, or BIP342 script leaf)
 };
 
 /** Parse a key path, being passed a split list of elements (the first element is ignored). */
@@ -871,6 +934,13 @@ std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const S
                     error = "Uncompressed keys are not allowed";
                     return nullptr;
                 }
+            } else if (data.size() == 32 && ctx == ParseScriptContext::P2TR) {
+                unsigned char fullkey[33] = {0x02};
+                std::copy(data.begin(), data.end(), fullkey + 1);
+                pubkey.Set(std::begin(fullkey), std::end(fullkey));
+                if (pubkey.IsFullyValid()) {
+                    return std::make_unique<ConstPubkeyProvider>(key_exp_index, pubkey, true);
+                }
             }
             error = strprintf("Pubkey '%s' is invalid", str);
             return nullptr;
@@ -958,13 +1028,16 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t& key_exp_index, Span<const
         auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
         if (!pubkey) return nullptr;
         ++key_exp_index;
-        return std::make_unique<PKDescriptor>(std::move(pubkey));
+        return std::make_unique<PKDescriptor>(std::move(pubkey), ctx == ParseScriptContext::P2TR);
     }
-    if (Func("pkh", expr)) {
+    if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH) && Func("pkh", expr)) {
         auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
         if (!pubkey) return nullptr;
         ++key_exp_index;
         return std::make_unique<PKHDescriptor>(std::move(pubkey));
+    } else if (Func("pkh", expr)) {
+        error = "Can only have pkh at top level, in sh(), or in wsh()";
+        return nullptr;
     }
     if (ctx == ParseScriptContext::TOP && Func("combo", expr)) {
         auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
@@ -975,7 +1048,7 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t& key_exp_index, Span<const
         error = "Can only have combo() at top level";
         return nullptr;
     }
-    if ((sorted_multi = Func("sortedmulti", expr)) || Func("multi", expr)) {
+    if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH) && ((sorted_multi = Func("sortedmulti", expr)) || Func("multi", expr))) {
         auto threshold = Expr(expr);
         uint32_t thres;
         std::vector<std::unique_ptr<PubkeyProvider>> providers;
@@ -1020,6 +1093,9 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t& key_exp_index, Span<const
             }
         }
         return std::make_unique<MultisigDescriptor>(thres, std::move(providers), sorted_multi);
+    } else if (Func("sortedmulti", expr) || Func("multi", expr)) {
+        error = "Can only have multi/sortedmulti at top level, in sh(), or in wsh()";
+        return nullptr;
     }
     if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH) && Func("wpkh", expr)) {
         auto pubkey = ParsePubkey(key_exp_index, expr, ParseScriptContext::P2WPKH, out, error);
@@ -1057,6 +1133,67 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t& key_exp_index, Span<const
         error = "Can only have addr() at top level";
         return nullptr;
     }
+    if (ctx == ParseScriptContext::TOP && Func("tr", expr)) {
+        auto arg = Expr(expr);
+        auto internal_key = ParsePubkey(key_exp_index, arg, ParseScriptContext::P2TR, out, error);
+        if (!internal_key) return nullptr;
+        ++key_exp_index;
+        std::vector<std::unique_ptr<DescriptorImpl>> subscripts; //!< list of script subexpressions
+        std::vector<int> depths; //!< depth in the tree of each subexpression (same length subscripts)
+        if (expr.size()) {
+            if (!Const(",", expr)) {
+                error = strprintf("tr: expected ',', got '%c'", expr[0]);
+                return nullptr;
+            }
+            /** The path from the top of the tree to what we're currently processing.
+             * branches[i] == false: left branch in the i'th step from the top; true: right branch.
+             */
+            std::vector<bool> branches;
+            // Loop over all provided scripts. In every iteration exactly one script will be processed.
+            // Use a do-loop because inside this if-branch we expect at least one script.
+            do {
+                // First process all open braces.
+                while (Const("{", expr)) {
+                    branches.push_back(false); // new left branch
+                    if (branches.size() > TAPROOT_CONTROL_MAX_NODE_COUNT) {
+                        error = strprintf("tr() supports at most %i nesting levels", TAPROOT_CONTROL_MAX_NODE_COUNT);
+                        return nullptr;
+                    }
+                }
+                // Process the actual script expression.
+                auto sarg = Expr(expr);
+                subscripts.emplace_back(ParseScript(key_exp_index, sarg, ParseScriptContext::P2TR, out, error));
+                if (!subscripts.back()) return nullptr;
+                depths.push_back(branches.size());
+                // Process closing braces; one is expected for every right branch we were in.
+                while (branches.size() && branches.back()) {
+                    if (!Const("}", expr)) {
+                        error = strprintf("tr(): expected '}' after script expression");
+                        return nullptr;
+                    }
+                    branches.pop_back(); // move up one level after encountering '}'
+                }
+                // If after that, we're at the end of a left branch, expect a comma.
+                if (branches.size() && !branches.back()) {
+                    if (!Const(",", expr)) {
+                        error = strprintf("tr(): expected ',' after script expression");
+                        return nullptr;
+                    }
+                    branches.back() = true; // And now we're in a right branch.
+                }
+            } while (branches.size());
+            // After we've explored a whole tree, we must be at the end of the expression.
+            if (expr.size()) {
+                error = strprintf("tr(): expected ')' after script expression");
+                return nullptr;
+            }
+        }
+        assert(TaprootBuilder::ValidDepths(depths));
+        return std::make_unique<TRDescriptor>(std::move(internal_key), std::move(subscripts), std::move(depths));
+    } else if (Func("tr", expr)) {
+        error = "Can only have tr at top level";
+        return nullptr;
+    }
     if (ctx == ParseScriptContext::TOP && Func("raw", expr)) {
         std::string str(expr.begin(), expr.end());
         if (!IsHex(str)) {

src/util/spanparsing.cpp

@@ -34,11 +34,11 @@ Span<const char> Expr(Span<const char>& sp)
     int level = 0;
     auto it = sp.begin();
     while (it != sp.end()) {
-        if (*it == '(') {
+        if (*it == '(' || *it == '{') {
             ++level;
-        } else if (level && *it == ')') {
+        } else if (level && (*it == ')' || *it == '}')) {
             --level;
-        } else if (level == 0 && (*it == ')' || *it == ',')) {
+        } else if (level == 0 && (*it == ')' || *it == '}' || *it == ',')) {
             break;
         }
         ++it;