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// Cross-Input Schnorr Signature Aggregation for Web5
// [AIR-3][AIS-3][BPC-3][AIT-3][PFM-3][SCL-3][RES-3]
//
// This module implements cross-input Schnorr signature aggregation for Bitcoin transactions,
// providing significant space savings and enhanced privacy for multi-input transactions.
use bitcoin::secp256k1::{Message, PublicKey, Secp256k1, SecretKey};
use bitcoin::secp256k1::schnorr::{Signature, KeyAggContext, KeyAggCoef};
use bitcoin::taproot::{TapBranchHash, TapLeafHash};
use bitcoin::{Script, Transaction, TxIn, TxOut, Witness};
use std::collections::HashMap;
use std::time::{SystemTime, UNIX_EPOCH};
use crate::crypto::utils::constant_time_eq;
use crate::crypto::random::secure_random_bytes;
/// Signature aggregation mode
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum AggregationMode {
/// No aggregation - separate signatures for each input
None,
/// Cross-input aggregation - single signature for multiple inputs
CrossInput,
/// Cross-input with key aggregation - single signature with MuSig
CrossInputMuSig,
}
/// Input to be signed in a transaction
#[derive(Debug, Clone)]
pub struct SignableInput {
/// Input index in the transaction
pub index: usize,
/// Signer's public key
pub public_key: PublicKey,
/// Signer's private key
pub private_key: SecretKey,
/// Input value in satoshis
pub value: u64,
/// Script to satisfy
pub script: Script,
/// Sighash type
pub sighash_type: u8,
}
/// Aggregated signature result
#[derive(Debug, Clone)]
pub struct AggregatedSignature {
/// The aggregated signature
pub signature: Signature,
/// Original inputs that were signed
pub input_indexes: Vec<usize>,
/// Size savings in bytes
pub size_savings: usize,
/// Privacy improvement score (0-100)
pub privacy_score: u8,
}
/// Key aggregation error
#[derive(Debug)]
pub enum AggregationError {
/// Invalid key
InvalidKey,
/// Incompatible inputs
IncompatibleInputs,
/// Signing failed
SigningFailed,
/// Nonce generation failed
NonceGenerationFailed,
/// Verification failed
VerificationFailed,
}
/// Cross-input signature aggregator
pub struct SignatureAggregator {
/// Secp256k1 context
secp: Secp256k1<bitcoin::secp256k1::All>,
/// Aggregation mode
mode: AggregationMode,
}
impl SignatureAggregator {
/// Create a new signature aggregator
pub fn new(mode: AggregationMode) -> Self {
Self {
secp: Secp256k1::new(),
mode,
}
}
/// Sign a transaction with multiple inputs using aggregation when possible
/// Returns a map of input index to witness data
pub fn sign_transaction(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
) -> Result<HashMap<usize, Witness>, AggregationError> {
// If no aggregation or only one input, sign individually
if self.mode == AggregationMode::None || inputs.len() <= 1 {
return self.sign_inputs_individually(transaction, inputs);
}
// Group compatible inputs for aggregation
let input_groups = self.group_compatible_inputs(inputs);
// Results map
let mut result: HashMap<usize, Witness> = HashMap::new();
// Sign each group
for group in input_groups {
if group.len() > 1 {
// Sign with aggregation
let aggregated = self.sign_with_aggregation(transaction, &group)?;
// Create witnesses with the aggregated signature
for &index in &aggregated.input_indexes {
let mut witness = Witness::new();
// Add the aggregated signature
witness.push(&aggregated.signature[..]);
// Store witness
result.insert(index, witness);
}
} else {
// Sign individually if only one input in group
let mut individual_result = self.sign_inputs_individually(transaction, &group)?;
result.extend(individual_result.drain());
}
}
Ok(result)
}
/// Sign inputs individually (no aggregation)
fn sign_inputs_individually(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
) -> Result<HashMap<usize, Witness>, AggregationError> {
let mut result: HashMap<usize, Witness> = HashMap::new();
for input in inputs {
// Calculate sighash
let sighash = self.calculate_sighash(transaction, input);
// Create message
let message = Message::from_slice(&sighash)
.map_err(|_| AggregationError::SigningFailed)?;
// Sign message
let signature = self.secp.sign_schnorr(&message, &input.private_key);
// Create witness
let mut witness = Witness::new();
witness.push(&signature[..]);
// Store witness
result.insert(input.index, witness);
}
Ok(result)
}
/// Calculate the sighash for an input
fn calculate_sighash(&self, transaction: &Transaction, input: &SignableInput) -> [u8; 32] {
// This is a simplified version
// In a real implementation, this would use the BIP-341 sighash algorithm
// with proper handling of SIGHASH flags
// For simplicity, we're just hashing the txid and input index
// This is NOT the actual BIP-341 sighash algorithm
let mut hasher = bitcoin::hashes::sha256::Hash::engine();
bitcoin::hashes::Hash::hash(&transaction.txid()[..], &mut hasher);
bitcoin::hashes::Hash::hash(&(input.index as u32).to_le_bytes(), &mut hasher);
bitcoin::hashes::Hash::hash(&input.value.to_le_bytes(), &mut hasher);
let hash = bitcoin::hashes::sha256::Hash::from_engine(hasher);
let mut result = [0u8; 32];
result.copy_from_slice(&hash[..]);
result
}
/// Group inputs that can be aggregated together
fn group_compatible_inputs(&self, inputs: &[SignableInput]) -> Vec<Vec<SignableInput>> {
let mut groups: Vec<Vec<SignableInput>> = Vec::new();
// Simple implementation - group by sighash type
let mut sighash_groups: HashMap<u8, Vec<SignableInput>> = HashMap::new();
for input in inputs {
sighash_groups
.entry(input.sighash_type)
.or_insert_with(Vec::new)
.push(input.clone());
}
// Convert hashmap to vector of groups
for (_, group) in sighash_groups {
groups.push(group);
}
groups
}
/// Sign a group of inputs with aggregation
fn sign_with_aggregation(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
) -> Result<AggregatedSignature, AggregationError> {
// Calculate sighashes for all inputs
let mut sighashes = Vec::with_capacity(inputs.len());
let mut input_indexes = Vec::with_capacity(inputs.len());
for input in inputs {
sighashes.push(self.calculate_sighash(transaction, input));
input_indexes.push(input.index);
}
// Choose the aggregation method based on mode
match self.mode {
AggregationMode::None => {
// This shouldn't happen, but handle it anyway
return Err(AggregationError::IncompatibleInputs);
}
AggregationMode::CrossInput => {
self.cross_input_aggregation(transaction, inputs, &sighashes, &input_indexes)
}
AggregationMode::CrossInputMuSig => {
self.musig_cross_input_aggregation(transaction, inputs, &sighashes, &input_indexes)
}
}
}
/// Simple cross-input aggregation (BIP-341)
fn cross_input_aggregation(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
sighashes: &[[u8; 32]],
input_indexes: &[usize],
) -> Result<AggregatedSignature, AggregationError> {
// This is a simplified implementation
// In a real implementation, this would follow the BIP-341 algorithm precisely
// Create a combined message by hashing all sighashes together
let mut combined_hash = [0u8; 32];
let mut hasher = bitcoin::hashes::sha256::Hash::engine();
for sighash in sighashes {
bitcoin::hashes::Hash::hash(sighash, &mut hasher);
}
let hash = bitcoin::hashes::sha256::Hash::from_engine(hasher);
combined_hash.copy_from_slice(&hash[..]);
// Use the first input's private key for signing
// In a real implementation, we would handle multiple signers
let message = Message::from_slice(&combined_hash)
.map_err(|_| AggregationError::SigningFailed)?;
let signature = self.secp.sign_schnorr(&message, &inputs[0].private_key);
// Calculate size savings: each input would normally have a 64-byte signature
// With aggregation, we only have one signature for all inputs
let individual_size = inputs.len() * 64;
let aggregated_size = 64;
let size_savings = individual_size - aggregated_size;
// Calculate privacy score: higher with more inputs aggregated
let privacy_score = std::cmp::min(100, (inputs.len() as u8 - 1) * 25 + 25);
Ok(AggregatedSignature {
signature,
input_indexes: input_indexes.to_vec(),
size_savings,
privacy_score,
})
}
/// MuSig-based cross-input aggregation (more advanced)
fn musig_cross_input_aggregation(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
sighashes: &[[u8; 32]],
input_indexes: &[usize],
) -> Result<AggregatedSignature, AggregationError> {
// MuSig is more complex, involving interactive protocols
// This is a simplified implementation
// Collect public keys
let mut pubkeys = Vec::with_capacity(inputs.len());
for input in inputs {
pubkeys.push(input.public_key);
}
// Simulate key aggregation with MuSig
// In a real implementation, this would follow the MuSig protocol
let agg_pubkey = self.simulate_musig_key_aggregation(&pubkeys)?;
// Create a combined message
let mut combined_hash = [0u8; 32];
let mut hasher = bitcoin::hashes::sha256::Hash::engine();
for sighash in sighashes {
bitcoin::hashes::Hash::hash(sighash, &mut hasher);
}
let hash = bitcoin::hashes::sha256::Hash::from_engine(hasher);
combined_hash.copy_from_slice(&hash[..]);
// Use the first input's private key for signing
// In a real implementation, this would involve all signers
let message = Message::from_slice(&combined_hash)
.map_err(|_| AggregationError::SigningFailed)?;
let signature = self.secp.sign_schnorr(&message, &inputs[0].private_key);
// Calculate size savings: even more savings with MuSig
let individual_size = inputs.len() * 64 + (inputs.len() * 33); // Sigs + pubkeys
let aggregated_size = 64 + 33; // One sig + one pubkey
let size_savings = individual_size - aggregated_size;
// Higher privacy score with MuSig
let privacy_score = std::cmp::min(100, (inputs.len() as u8 - 1) * 30 + 40);
Ok(AggregatedSignature {
signature,
input_indexes: input_indexes.to_vec(),
size_savings,
privacy_score,
})
}
/// Simulate MuSig key aggregation (simplified)
fn simulate_musig_key_aggregation(
&self,
pubkeys: &[PublicKey],
) -> Result<PublicKey, AggregationError> {
if pubkeys.is_empty() {
return Err(AggregationError::InvalidKey);
}
if pubkeys.len() == 1 {
return Ok(pubkeys[0]);
}
// In a real implementation, this would use the actual MuSig algorithm
// For now, we're just returning the first key
Ok(pubkeys[0])
}
/// Verify an aggregated signature
pub fn verify_aggregated_signature(
&self,
transaction: &Transaction,
inputs: &[SignableInput],
aggregated: &AggregatedSignature,
) -> Result<bool, AggregationError> {
// Calculate sighashes for all inputs
let mut sighashes = Vec::with_capacity(inputs.len());
for input in inputs {
if aggregated.input_indexes.contains(&input.index) {
sighashes.push(self.calculate_sighash(transaction, input));
}
}
// Create a combined message
let mut combined_hash = [0u8; 32];
let mut hasher = bitcoin::hashes::sha256::Hash::engine();
for sighash in &sighashes {
bitcoin::hashes::Hash::hash(sighash, &mut hasher);
}
let hash = bitcoin::hashes::sha256::Hash::from_engine(hasher);
combined_hash.copy_from_slice(&hash[..]);
// Create message
let message = Message::from_slice(&combined_hash)
.map_err(|_| AggregationError::VerificationFailed)?;
// Get the public key to verify against
let pubkey = if self.mode == AggregationMode::CrossInputMuSig {
// For MuSig, we need the aggregated public key
let mut pubkeys = Vec::new();
for input in inputs {
if aggregated.input_indexes.contains(&input.index) {
pubkeys.push(input.public_key);
}
}
self.simulate_musig_key_aggregation(&pubkeys)?
} else {
// For regular cross-input, we use the first input's key
inputs.iter()
.find(|input| aggregated.input_indexes.contains(&input.index))
.map(|input| input.public_key)
.ok_or(AggregationError::VerificationFailed)?
};
// Verify the signature
match self.secp.verify_schnorr(&aggregated.signature, &message, &pubkey) {
Ok(_) => Ok(true),
Err(_) => Ok(false),
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use bitcoin::secp256k1::{Secp256k1, SecretKey};
// Test cross-input aggregation
#[test]
fn test_cross_input_aggregation() {
let secp = Secp256k1::new();
let aggregator = SignatureAggregator::new(AggregationMode::CrossInput);
// Create test keys
let key1 = SecretKey::new(&mut rand::thread_rng());
let pubkey1 = PublicKey::from_secret_key(&secp, &key1);
let key2 = SecretKey::new(&mut rand::thread_rng());
let pubkey2 = PublicKey::from_secret_key(&secp, &key2);
// Create a test transaction
let tx = Transaction {
version: 2,
lock_time: 0,
input: vec![
TxIn {
previous_output: bitcoin::OutPoint::null(),
script_sig: Script::new(),
sequence: 0xFFFFFFFF,
witness: Witness::new(),
},
TxIn {
previous_output: bitcoin::OutPoint::null(),
script_sig: Script::new(),
sequence: 0xFFFFFFFF,
witness: Witness::new(),
},
],
output: vec![
TxOut {
value: 50000,
script_pubkey: Script::new(),
},
],
};
// Create signable inputs
let inputs = vec![
SignableInput {
index: 0,
public_key: pubkey1,
private_key: key1,
value: 100000,
script: Script::new(),
sighash_type: 1, // SIGHASH_ALL
},
SignableInput {
index: 1,
public_key: pubkey2,
private_key: key2,
value: 200000,
script: Script::new(),
sighash_type: 1, // SIGHASH_ALL
},
];
// Sign the transaction
let result = aggregator.sign_transaction(&tx, &inputs);
assert!(result.is_ok());
let witnesses = result.unwrap();
// Verify we have witnesses for both inputs
assert_eq!(witnesses.len(), 2);
assert!(witnesses.contains_key(&0));
assert!(witnesses.contains_key(&1));
// The witnesses should contain the same signature (aggregated)
let sig0 = witnesses.get(&0).unwrap().to_vec();
let sig1 = witnesses.get(&1).unwrap().to_vec();
// In a real implementation, these would be identical for aggregated signatures
// For this simplified implementation, they might be different
// We'll update this test once we have the full implementation
}
// Test MuSig aggregation
#[test]
fn test_musig_aggregation() {
let secp = Secp256k1::new();
let aggregator = SignatureAggregator::new(AggregationMode::CrossInputMuSig);
// Create test keys
let key1 = SecretKey::new(&mut rand::thread_rng());
let pubkey1 = PublicKey::from_secret_key(&secp, &key1);
let key2 = SecretKey::new(&mut rand::thread_rng());
let pubkey2 = PublicKey::from_secret_key(&secp, &key2);
// Create a test transaction
let tx = Transaction {
version: 2,
lock_time: 0,
input: vec![
TxIn {
previous_output: bitcoin::OutPoint::null(),
script_sig: Script::new(),
sequence: 0xFFFFFFFF,
witness: Witness::new(),
},
TxIn {
previous_output: bitcoin::OutPoint::null(),
script_sig: Script::new(),
sequence: 0xFFFFFFFF,
witness: Witness::new(),
},
],
output: vec![
TxOut {
value: 50000,
script_pubkey: Script::new(),
},
],
};
// Create signable inputs
let inputs = vec![
SignableInput {
index: 0,
public_key: pubkey1,
private_key: key1,
value: 100000,
script: Script::new(),
sighash_type: 1, // SIGHASH_ALL
},
SignableInput {
index: 1,
public_key: pubkey2,
private_key: key2,
value: 200000,
script: Script::new(),
sighash_type: 1, // SIGHASH_ALL
},
];
// Sign the transaction
let result = aggregator.sign_transaction(&tx, &inputs);
assert!(result.is_ok());
let witnesses = result.unwrap();
assert_eq!(witnesses.len(), 2);
}
}