From 079a1d345c9fb129b6314a67e02b35ba1f9441a8 Mon Sep 17 00:00:00 2001 From: Michael Tidwell Date: Fri, 1 Nov 2024 23:59:15 -0400 Subject: [PATCH] Adding taptree_of_horror example. Adding bitcoin_hashes as dev dependency. --- Cargo.toml | 5 + examples/taptree_of_horror/README.md | 20 + examples/taptree_of_horror/helper_fns.rs | 57 + .../taptree_of_horror.excalidraw | 2602 +++++++++++++++++ .../taptree_of_horror/taptree_of_horror.png | Bin 0 -> 730200 bytes .../taptree_of_horror/taptree_of_horror.rs | 289 ++ 6 files changed, 2973 insertions(+) create mode 100644 examples/taptree_of_horror/README.md create mode 100644 examples/taptree_of_horror/helper_fns.rs create mode 100644 examples/taptree_of_horror/taptree_of_horror.excalidraw create mode 100644 examples/taptree_of_horror/taptree_of_horror.png create mode 100644 examples/taptree_of_horror/taptree_of_horror.rs diff --git a/Cargo.toml b/Cargo.toml index 764ef1adb..a538d4d42 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -66,6 +66,11 @@ required-features = ["std", "base64"] name = "big" required-features = ["std", "base64", "compiler"] +[[example]] +name = "taptree_of_horror" +path = "examples/taptree_of_horror/taptree_of_horror.rs" +required-features = ["compiler"] + [workspace] members = ["fuzz"] exclude = ["embedded", "bitcoind-tests"] diff --git a/examples/taptree_of_horror/README.md b/examples/taptree_of_horror/README.md new file mode 100644 index 000000000..9a9a0f0f5 --- /dev/null +++ b/examples/taptree_of_horror/README.md @@ -0,0 +1,20 @@ +# Taptree of Horror Example + +### Running this example: +- `cargo run --example taptree_of_horror --features "compiler"` + +### Originally based on the TABConf 6, CTB. +The challenge can be found here: +- https://tabctb.com/six +- https://tabctb.com/six/thebeginning/thetree/grim/iacceptyourterms.html + +### This example demonstrates: +- Providing multiple extended private key (xpriv) descriptors for sample personas. +- Creating a policy using logical 'and/or' conditions with preimages and signatures and timelocks. +- Structuring a Taproot tree (taptree) with an internal key into logical branches and leaves based on the policy. +- Implementing nine complex tapleaves within the taptree. +- Building a spending transaction that signs and satisfies one of the tapleaves using signatures, preimages and a timelock. + +### Helpful Graphic to visualize using Excalidraw +![taptree_of_horror](./taptree_of_horror.png) + diff --git a/examples/taptree_of_horror/helper_fns.rs b/examples/taptree_of_horror/helper_fns.rs new file mode 100644 index 000000000..1e0008a98 --- /dev/null +++ b/examples/taptree_of_horror/helper_fns.rs @@ -0,0 +1,57 @@ +use std::str::FromStr; + +use bitcoin::bip32::{DerivationPath, Xpriv}; +use bitcoin::hashes::{ripemd160, sha256, Hash}; +use miniscript::descriptor::DescriptorSecretKey; +use miniscript::ToPublicKey; +use secp256k1::Secp256k1; + +pub fn produce_grim_hash(secret: &str) -> (sha256::Hash, ripemd160::Hash) { + let mut hash_holder = sha256::Hash::hash(secret.as_bytes()); + for _i in 0..5 { + hash_holder = sha256::Hash::hash(hash_holder.as_byte_array()); + //println!("{} hash: {}", i, hash_holder); + } + + let ripemd_160_final = ripemd160::Hash::hash(hash_holder.as_byte_array()); + (hash_holder, ripemd_160_final) +} + +pub fn produce_kelly_hash(secret: &str) -> (sha256::Hash, sha256::Hash) { + let prepreimage: Vec = secret.as_bytes().to_vec(); + let preimage_256_hash = sha256::Hash::hash(&prepreimage); + let result256_final = sha256::Hash::hash(&preimage_256_hash.to_byte_array()); + (preimage_256_hash, result256_final) +} + +pub fn produce_key_pairs( + desc: DescriptorSecretKey, + secp: &Secp256k1, + derivation_without_index: &str, + _alias: &str, +) -> (Vec, Vec) { + let mut pks = Vec::new(); + let mut prvs = Vec::new(); + + let xprv = match &desc { + DescriptorSecretKey::XPrv(xpriv) => xpriv, + _ => panic!("not an xpriv"), + }; + + for i in 0..9 { + let pk = desc + .to_public(secp) + .unwrap() + .at_derivation_index(i) + .unwrap() + .to_public_key(); + + let derivation_with_index = format!("{}/{}", derivation_without_index, i); + let derivation_path = DerivationPath::from_str(&derivation_with_index).unwrap(); + let derived_xpriv: Xpriv = xprv.xkey.derive_priv(secp, &derivation_path).unwrap(); + + pks.insert(i.try_into().unwrap(), pk); + prvs.insert(i.try_into().unwrap(), derived_xpriv); + } + (pks, prvs) +} diff --git a/examples/taptree_of_horror/taptree_of_horror.excalidraw b/examples/taptree_of_horror/taptree_of_horror.excalidraw new file mode 100644 index 000000000..192f9eb2c --- /dev/null +++ b/examples/taptree_of_horror/taptree_of_horror.excalidraw @@ -0,0 +1,2602 @@ +{ + "type": "excalidraw", + "version": 2, + "source": "https://excalidraw.com", + "elements": [ + { + "type": "ellipse", + "version": 2692, + "versionNonce": 1273399365, + "index": "a0", + "isDeleted": false, + "id": "GndOEcsuqlogN1UcnadVX", + "fillStyle": "solid", + "strokeWidth": 4, + "strokeStyle": "dotted", + "roughness": 0, + "opacity": 100, + "angle": 0, + "x": 208.4102320023012, + "y": -709.2168669525936, + "strokeColor": "#e9ecef", + "backgroundColor": 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std::str::FromStr; + +use bitcoin::absolute::LockTime; +use bitcoin::bip32::Xpriv; +use bitcoin::consensus::encode::serialize; +use bitcoin::hashes::Hash; +use bitcoin::hex::{Case, DisplayHex}; +use bitcoin::transaction::Version; +use bitcoin::{Address, Amount, Network, Psbt, Sequence, TxIn, TxOut}; +use helper_fns::{produce_grim_hash, produce_kelly_hash, produce_key_pairs}; +use miniscript::descriptor::{DescriptorSecretKey, DescriptorXKey}; +use miniscript::policy::Concrete; +use miniscript::psbt::PsbtExt; +use miniscript::{Descriptor, DescriptorPublicKey}; +mod helper_fns; + +fn main() { + let secp: &secp256k1::Secp256k1 = &secp256k1::Secp256k1::new(); + + // define derivation paths that will be used + let normal_path = "86'/1'/0'/0"; + let unhardened_path = "86/1/0/0"; + let weird_path = "69'/420'/999999999'/8008135'"; + + // hard coded regtest tprvs that will be used. + let internal = format!("tprv8ZgxMBicQKsPfBJTWzMTQfRzcE3HCNKg6TUBpGBfigcFbqTXNBw6SuGPqBpD6D9pjLLASwq8bE7oZXCtMFPDKRizLy14xNqw4uz1zwrfo2c/{normal_path}/*"); + let alice = format!("tprv8ZgxMBicQKsPeZjVFDhZR5wjfCvFNev9qKGPDPC77p5cAEgEMUCR8Cecaf8pYfY7NTz8QcjVnP8uR8NedPz8o7iG7qWgnFMyQy9BAhMVZgb/{normal_path}/*"); + let bob = format!("tprv8ZgxMBicQKsPeHy2kPPVzYpbUqwTVBjSthMJUcGyqUiXk8eZTQ6xrJKEmdX8NYJKLLGCHGjuByqz2ahJXp52E8zCUV7njziJzwN7V7zfrKZ/{normal_path}/*"); + let charlie = format!("tprv8ZgxMBicQKsPdYaiWLUQCprj7Ej9Ka5GEq6giWHgTnbJvdLWnSuYnsF5sonVh6iy2HzvfkfxRDAmWEXNo3SJWTHCXM6XuxVZvqxtEyjdC29/{normal_path}/*"); + let dave = format!("tprv8ZgxMBicQKsPfCRUoMSWthoE8aJKr7De5YkxS1y55PuiSoi5ACyYUbas8Kv4vVtDzhKnBgY7cVSuogg2QLqtFcSZVv4ZTeBEzkzSnF9cSUT/{weird_path}/*"); + let eve = format!("tprv8ZgxMBicQKsPdYD5umCPZeh6tMqKfQATctqJbycgJ5N1rrJ15cHMgxds5iYENHZHmkMiXccAqUFx2k3ZNwU9qxPMjrKvTbCtgLFxk7mjMWD/{normal_path}/*"); + let frank = format!("tprv8ZgxMBicQKsPemyPyxqZ85T1UjpToCbLQ7uSn4JpbtwMBCodjvrLbgjBZeGgT4tMHdHCqyieDwCNzE7RrtRMVCQjPKQbGJzrg5vfn4eT7og/{normal_path}/*"); + let heather = format!("tprv8ZgxMBicQKsPefp99xLkwnQbU9LEEb8v4Aig3o4hwnjbaYotixkbJv3Ssmog68ptHij2LgExefNU96DYJKtFbDazTr1jm48twYhQLG775qw/{normal_path}/*"); + let ian = format!("tprv8ZgxMBicQKsPfGsuwfAdg3xPP452wreLk7ZEgusb8zdMqh1fyKGKnzFbxyxeHY3qhg8ESDRp5F6RgWiQGcvkmLyERcMys5V8DuT4gvxMDmS/{unhardened_path}/*"); + let judy = format!("tprv8ZgxMBicQKsPcz4VcN87e2e9k1LHDBLLajbVSAKAedpm1qakjtRT5xrdnmsQARWAfwg3REr6sNd5YHeWuWkHVvyey3rYmq9xYorMvwY3XAB/{normal_path}/*"); + let liam = format!("tprv8ZgxMBicQKsPcycCJ2v7B1utZrhWJNdQTBm7m9eR6iX1D9a9YvjbCNeT6dTEdMh4JziVCHD4YHQ7AXkZNMLfaBVf3CCiVWQLxwdU2SnrPcT/{normal_path}/*"); + let s_backup_1 = format!("tprv8ZgxMBicQKsPetPYYt5GUtNmQPChghNDBLbgJXz3cTZopeDrxHMendLpujaBHMPX3dXLZcv2NkgAvxMeuf1jWBU3iYxdeJAhktdeM9cKcYF/{normal_path}/*"); + let x_backup_2 = format!("tprv8ZgxMBicQKsPdf55kYg8pVPrUaW3VLZyt8XwxwrvSPkpskxDah1mAWypsTTZJeomWPrGf4e5RyT4zVzENHrwAsXxJP2EPYbfrYLRVFC1rLb/{normal_path}/*"); + + // define DescriptorSecretKeys + let internal_desc_secret = DescriptorSecretKey::from_str(&internal).unwrap(); + let a_descriptor_desc_secret = DescriptorSecretKey::from_str(&alice).unwrap(); + let b_descriptor_desc_secret = DescriptorSecretKey::from_str(&bob).unwrap(); + let c_descriptor_desc_secret = DescriptorSecretKey::from_str(&charlie).unwrap(); + let d_descriptor_desc_secret = DescriptorSecretKey::from_str(&dave).unwrap(); + let e_descriptor_desc_secret = DescriptorSecretKey::from_str(&eve).unwrap(); + let f_descriptor_desc_secret = DescriptorSecretKey::from_str(&frank).unwrap(); + let h_descriptor_desc_secret = DescriptorSecretKey::from_str(&heather).unwrap(); + let i_descriptor_desc_secret = DescriptorSecretKey::from_str(&ian).unwrap(); + let j_descriptor_desc_secret = DescriptorSecretKey::from_str(&judy).unwrap(); + let l_descriptor_desc_secret = DescriptorSecretKey::from_str(&liam).unwrap(); + let s_descriptor_desc_secret = DescriptorSecretKey::from_str(&s_backup_1).unwrap(); + let x_descriptor_desc_secret = DescriptorSecretKey::from_str(&x_backup_2).unwrap(); + let grim = produce_grim_hash("sovereignty through knowledge"); + let kelly = produce_kelly_hash("the ultimate pre-preimage"); + + // define keys that will be used for the policy and for signing. + let internal_xpub: miniscript::DescriptorPublicKey = + internal_desc_secret.to_public(secp).unwrap(); + let _intneral_xpriv: DescriptorXKey = match internal_desc_secret.clone() { + DescriptorSecretKey::XPrv(x) => Some(x), + _ => None, + } + .unwrap(); + let (a_pks, a_prvs) = produce_key_pairs(a_descriptor_desc_secret, secp, normal_path, "alice"); + let (b_pks, b_prvs) = produce_key_pairs(b_descriptor_desc_secret, secp, normal_path, "bob"); + let (c_pks, c_prvs) = produce_key_pairs(c_descriptor_desc_secret, secp, normal_path, "charlie"); + let (d_pks, d_prvs) = produce_key_pairs(d_descriptor_desc_secret, secp, weird_path, "dave"); + let (e_pks, e_prvs) = produce_key_pairs(e_descriptor_desc_secret, secp, normal_path, "eve"); + let (f_pks, f_prvs) = produce_key_pairs(f_descriptor_desc_secret, secp, normal_path, "frank"); + let (h_pks, h_prvs) = produce_key_pairs(h_descriptor_desc_secret, secp, normal_path, "heather"); + let (i_pks, i_prvs) = produce_key_pairs(i_descriptor_desc_secret, secp, unhardened_path, "ian"); + let (j_pks, j_prvs) = produce_key_pairs(j_descriptor_desc_secret, secp, normal_path, "judy"); + let (l_pks, l_prvs) = produce_key_pairs(l_descriptor_desc_secret, secp, normal_path, "liam"); + let (s_pks, _s_prvs) = + produce_key_pairs(s_descriptor_desc_secret, secp, normal_path, "s_backup1"); + let (x_pks, _x_prvs) = + produce_key_pairs(x_descriptor_desc_secret, secp, normal_path, "x_backup2"); + + // define individual variables to make it easy to insert into the policy string. + let [a0, a1, a2, a3, a4, a5, a6, a7, a8] = &a_pks[..] else { + panic!("Expected exactly 8 elements in alice_pk_keys"); + }; + let [b0, b1, b2, b3, b4, b5, b6, b7, b8] = &b_pks[..] else { + panic!("Expected exactly 8 elements in bob_pk_keys"); + }; + let [c0, c1, c2, c3, c4, c5, c6, c7, c8] = &c_pks[..] else { + panic!("Expected exactly 8 elements in charlie_pk_keys"); + }; + let [d0, d1, d2, d3, d4, d5, d6, d7, d8] = &d_pks[..] else { + panic!("Expected exactly 8 elements in dave_pk_keys"); + }; + let [e0, e1, e2, e3, e4, e5, e6, e7, e8] = &e_pks[..] else { + panic!("Expected exactly 8 elements in eve_pk_keys"); + }; + let [f0, f1, f2, f3, f4, f5, f6, f7, f8] = &f_pks[..] else { + panic!("Expected exactly 8 elements in frank_pk_keys"); + }; + let [h0, h1, h2, h3, h4, h5, h6, h7, h8] = &h_pks[..] else { + panic!("Expected exactly 8 elements in heather_pk_keys"); + }; + let [i0, i1, i2, i3, i4, i5, i6, i7, i8] = &i_pks[..] else { + panic!("Expected exactly 8 elements in ian_pk_keys"); + }; + let [j0, j1, j2, j3, j4, j5, j6, j7, j8] = &j_pks[..] else { + panic!("Expected exactly 8 elements in judy_pk_keys"); + }; + let [l0, l1, l2, l3, l4, l5, l6, l7, l8] = &l_pks[..] else { + panic!("Expected exactly 8 elements in liam_pk_keys"); + }; + let [_s0, _s1, s2, _s3, s4, s5, _s6, s7, s8] = &s_pks[..] else { + panic!("Expected exactly 8 elements in secret1_pk_keys"); + }; + let [_x0, _x1, x2, _x3, x4, x5, x6, _x7, x8] = &x_pks[..] else { + panic!("Expected exactly 8 elements in xecret2_pk_keys"); + }; + // hashes that will also be used in the policy. + let g = grim.1; + let k = kelly.1; + // absolute timelocks that will be used in the policy + let oct_23_morning = "1729692000"; // Oct 23, 10:00 AM EST + let oct_24_evening = "1729819800"; // Oct 24, 09:30 PM EST + let oct_25_afternoon = "1729877400"; // Oct 25, 01:30 PM EST + let oct_26_morning = "1729942200"; // Oct 26, 07:30 AM EST + + let pol_str = format!( + "or( + pk({internal_xpub}), + or( + and( + thresh(10, pk({a0}), pk({b0}), pk({c0}), pk({d0}), pk({e0}), pk({f0}), pk({h0}), pk({i0}), pk({j0}), pk({l0})), + thresh(3, sha256({k}), ripemd160({g}), after({oct_23_morning})) + ), + or( + or( + and( + thresh(8, pk({a1}), pk({b1}), pk({c1}), pk({e1}), pk({f1}), pk({h1}), pk({i1}), pk({j1}), pk({l1})), + thresh(3, pk({d1}), sha256({k}), after({oct_24_evening})) + ), + and( + thresh(4, pk({a2}), pk({b2}), pk({c2}), pk({e2}), pk({f2}), pk({h2}), pk({i2}), pk({l2})), + and( + thresh(4, pk({d2}), pk({j2}), ripemd160({g}), after({oct_24_evening})), + or(pk({s2}), pk({x2})) + ) + ) + ), + or( + or( + or( + and( + thresh(6, pk({a3}), pk({b3}), pk({c3}), pk({e3}), pk({f3}), pk({h3}), pk({i3}), pk({l3})), + thresh(4, pk({d3}), pk({j3}), sha256({k}), after({oct_25_afternoon})) + ), + thresh(14, pk({a8}), pk({b8}), pk({c8}), pk({d8}), pk({e8}), pk({f8}), pk({h8}), pk({i8}), pk({j8}), pk({l8}), pk({s8}), pk({x8}), sha256({k}), ripemd160({g})) + ), + or( + and( + thresh(9, pk({a4}), pk({b4}), pk({c4}), pk({d4}), pk({e4}), pk({f4}), pk({h4}), pk({i4}), pk({j4}), pk({l4}), pk({s4}), pk({x4})), + thresh(2, sha256({k}), after({oct_26_morning})) + ), + and( + thresh(10, pk({a5}), pk({b5}), pk({c5}), pk({d5}), pk({e5}), pk({f5}), pk({h5}), pk({i5}), pk({j5}), pk({l5}), pk({s5}), pk({x5})), + after({oct_26_morning}) + ) + ) + ), + or( + and( + thresh(4, pk({a6}), pk({b6}), pk({c6}), pk({e6}), pk({f6}), pk({h6}), pk({i6}), pk({l6})), + thresh(5, pk({d6}), pk({x6}), pk({j6}), ripemd160({g}), after({oct_25_afternoon})) + ), + and( + thresh(4, pk({a7}), pk({b7}), pk({c7}), pk({e7}), pk({f7}), pk({h7}), pk({i7}), pk({l7})), + thresh(5, pk({d7}), pk({s7}), pk({j7}), ripemd160({g}), after({oct_25_afternoon})) + ) + ) + ) + ) + ) + + )" + ) + .replace(&[' ', '\n', '\t'][..], ""); + + // make sure policy doesn't have any issues + let pol = Concrete::::from_str(&pol_str).unwrap(); + let policy_desc: Descriptor = pol.compile_tr(None).unwrap(); + + // Now, using this public descriptor create the script address + let derived_descriptor = policy_desc.at_derivation_index(0).unwrap(); + let _script_address = derived_descriptor.address(Network::Regtest).unwrap(); + // println!("the receiving address of this script is: {}", _script_address); + // println!("\ndescriptor is: {}\n", desc); + + // We assert internal key is the one used in the descriptor + match &policy_desc { + Descriptor::Tr(tr) => { + // println!("internal: {}, eve: {}", tr.internal_key(), eve_xpub); + assert!(tr.internal_key() == &internal_xpub); + } + _ => panic!("internal spending path is not correct"), + } + + //////////// MAKE THE SPENDING TX //////////////// + + let secp: &secp256k1::Secp256k1 = &secp256k1::Secp256k1::new(); + + let tx_in = TxIn { + previous_output: bitcoin::OutPoint { + txid: "8888888899999999aaaaaaaabbbbbbbbccccccccddddddddeeeeeeeeffffffff" + .parse() + .unwrap(), + vout: 0, + }, + sequence: Sequence(0), + // sequence: Sequence(40), + ..Default::default() + }; + + let prev_amount = Amount::from_sat(100_000_000); + let witness_utxo = TxOut { + value: prev_amount, // 10 BTC, has to be exactly the same amount as what's in the txid being used? + script_pubkey: derived_descriptor.clone().script_pubkey(), // I sent funds to this taproot script, so I assume I should use the script pubkey of the desc itself? + }; + + let destination_address = + Address::from_str("bcrt1p2tl8zasepqe3j6m7hx4tdmqzndddr5wa9ugglpdzgenjwv42rkws66dk5a") + .unwrap(); + let destination_output: TxOut = TxOut { + value: bitcoin::Amount::from_sat(99_999_000), + script_pubkey: destination_address.assume_checked().script_pubkey(), + }; + + let time: u32 = oct_23_morning + .parse() + .expect("Failed to convert string to u32"); + + let unsigned_tx = bitcoin::Transaction { + version: Version::TWO, + lock_time: LockTime::from_time(time).unwrap(), + input: vec![tx_in], + output: vec![destination_output], + }; + + let unsigned_tx_test_string = serialize(&unsigned_tx).to_hex_string(Case::Lower); + assert!(unsigned_tx_test_string == "0200000001ffffffffeeeeeeeeddddddddccccccccbbbbbbbbaaaaaaaa99999999888888880000000000000000000118ddf5050000000022512052fe7176190833196b7eb9aab6ec029b5ad1d1dd2f108f85a246672732aa1d9d60011967"); + + let mut psbt = Psbt::from_unsigned_tx(unsigned_tx).unwrap(); + psbt.inputs[0].witness_utxo = Some(witness_utxo); + + // Tell Psbt about the descriptor so it can sign with it + psbt.update_input_with_descriptor(0, &derived_descriptor) + .unwrap(); + + // --- NOW SIGN AND SATISFY THE PSBT --- + + // how you would sign for an internal key spend + //let _res = psbt.sign(&intneral_xpriv.xkey, secp).unwrap(); + + // how you would sign using the leaf that uses index 0 keys + let _res = psbt.sign(&a_prvs[0], secp).unwrap(); + let _res = psbt.sign(&b_prvs[0], secp).unwrap(); + let _res = psbt.sign(&c_prvs[0], secp).unwrap(); + let _res = psbt.sign(&d_prvs[0], secp).unwrap(); + let _res = psbt.sign(&e_prvs[0], secp).unwrap(); + let _res = psbt.sign(&f_prvs[0], secp).unwrap(); + let _res = psbt.sign(&h_prvs[0], secp).unwrap(); + let _res = psbt.sign(&i_prvs[0], secp).unwrap(); + let _res = psbt.sign(&j_prvs[0], secp).unwrap(); + let _res = psbt.sign(&l_prvs[0], secp).unwrap(); + + psbt.inputs[0] + .sha256_preimages + .insert(kelly.1, kelly.0.to_byte_array().to_vec()); + + psbt.inputs[0] + .ripemd160_preimages + .insert(grim.1, grim.0.to_byte_array().to_vec()); + + // Finalize PSBT now that we have all the required signatures and hash preimages. + psbt.finalize_mut(secp).unwrap(); + + // Now extract the tx + let signed_tx = psbt.extract_tx().unwrap(); + let raw_tx = bitcoin::consensus::encode::serialize(&signed_tx).to_hex_string(Case::Lower); + + assert!(raw_tx == "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"); +}