Add an amount penalty to ProbabilisticScorer

The cost of large payments tends to be dominated by the channel fees. To
avoid this, add an amount penalty to ProbabilisticScorer with a user
configurable multiplier. The multiplier is applied for every 2^20th of
the amount weighted by the negative log10 of the channel's success
probability for the payment.
This commit is contained in:
Jeffrey Czyz 2022-03-31 08:13:10 -05:00
parent 5337f89d8b
commit 5425b2b77e
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@ -517,7 +517,7 @@ pub struct ProbabilisticScorerUsingTime<G: Deref<Target = NetworkGraph>, T: Time
/// Parameters for configuring [`ProbabilisticScorer`].
///
/// Used to configure a base penalty and a liquidity penalty, the sum of which is the channel
/// Used to configure base, liquidity, and amount penalties, the sum of which comprises the channel
/// penalty (i.e., the amount in msats willing to be paid to avoid routing through the channel).
#[derive(Clone, Copy)]
pub struct ProbabilisticScoringParameters {
@ -555,6 +555,25 @@ pub struct ProbabilisticScoringParameters {
/// When built with the `no-std` feature, time will never elapse. Therefore, the channel
/// liquidity knowledge will never decay except when the bounds cross.
pub liquidity_offset_half_life: Duration,
/// A multiplier used in conjunction with a payment amount and the negative `log10` of the
/// channel's success probability for the payment to determine the amount penalty.
///
/// The purpose of the amount penalty is to avoid having fees dominate the channel cost (i.e.,
/// fees plus penalty) for large payments. The penalty is computed as the product of this
/// multiplier and `2^20`ths of the payment amount, weighted by the negative `log10` of the
/// success probability.
///
/// `-log10(success_probability) * amount_penalty_multiplier_msat * amount_msat / 2^20`
///
/// In practice, this means for 0.1 success probability (`-log10(0.1) == 1`) each `2^20`th of
/// the amount will result in a penalty of the multiplier. And, as the success probability
/// decreases, the negative `log10` weighting will increase dramatically. For higher success
/// probabilities, the multiplier will have a decreasing effect as the negative `log10` will
/// fall below `1`.
///
/// Default value: 256 msat
pub amount_penalty_multiplier_msat: u64,
}
/// Accounting for channel liquidity balance uncertainty.
@ -602,12 +621,25 @@ impl<G: Deref<Target = NetworkGraph>, T: Time> ProbabilisticScorerUsingTime<G, T
}
}
impl ProbabilisticScoringParameters {
#[cfg(test)]
fn zero_penalty() -> Self {
Self {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 0,
liquidity_offset_half_life: Duration::from_secs(3600),
amount_penalty_multiplier_msat: 0,
}
}
}
impl Default for ProbabilisticScoringParameters {
fn default() -> Self {
Self {
base_penalty_msat: 500,
liquidity_penalty_multiplier_msat: 40_000,
liquidity_offset_half_life: Duration::from_secs(3600),
amount_penalty_multiplier_msat: 256,
}
}
}
@ -665,11 +697,17 @@ impl<T: Time> ChannelLiquidity<T> {
}
}
/// Bounds `-log10` to avoid excessive liquidity penalties for payments with low success
/// probabilities.
const NEGATIVE_LOG10_UPPER_BOUND: u64 = 2;
/// The divisor used when computing the amount penalty.
const AMOUNT_PENALTY_DIVISOR: u64 = 1 << 20;
impl<L: Deref<Target = u64>, T: Time, U: Deref<Target = T>> DirectedChannelLiquidity<L, T, U> {
/// Returns a penalty for routing the given HTLC `amount_msat` through the channel in this
/// direction.
fn penalty_msat(&self, amount_msat: u64, liquidity_penalty_multiplier_msat: u64) -> u64 {
let max_penalty_msat = liquidity_penalty_multiplier_msat.saturating_mul(2);
fn penalty_msat(&self, amount_msat: u64, params: ProbabilisticScoringParameters) -> u64 {
let max_liquidity_msat = self.max_liquidity_msat();
let min_liquidity_msat = core::cmp::min(self.min_liquidity_msat(), max_liquidity_msat);
if amount_msat <= min_liquidity_msat {
@ -681,18 +719,41 @@ impl<L: Deref<Target = u64>, T: Time, U: Deref<Target = T>> DirectedChannelLiqui
// Avoid using the failed channel on retry.
u64::max_value()
} else {
max_penalty_msat
// Equivalent to hitting the else clause below with the amount equal to the
// effective capacity and without any certainty on the liquidity upper bound.
let negative_log10_times_1024 = NEGATIVE_LOG10_UPPER_BOUND * 1024;
self.combined_penalty_msat(amount_msat, negative_log10_times_1024, params)
}
} else {
let numerator = (max_liquidity_msat - amount_msat).saturating_add(1);
let denominator = (max_liquidity_msat - min_liquidity_msat).saturating_add(1);
let penalty_msat = approx::negative_log10_times_1024(numerator, denominator)
.saturating_mul(liquidity_penalty_multiplier_msat) / 1024;
// Upper bound the penalty to ensure some channel is selected.
penalty_msat.min(max_penalty_msat)
let negative_log10_times_1024 =
approx::negative_log10_times_1024(numerator, denominator);
self.combined_penalty_msat(amount_msat, negative_log10_times_1024, params)
}
}
/// Computes the liquidity and amount penalties and adds them to the base penalty.
#[inline(always)]
fn combined_penalty_msat(
&self, amount_msat: u64, negative_log10_times_1024: u64,
params: ProbabilisticScoringParameters
) -> u64 {
let liquidity_penalty_msat = {
// Upper bound the liquidity penalty to ensure some channel is selected.
let multiplier_msat = params.liquidity_penalty_multiplier_msat;
let max_penalty_msat = multiplier_msat.saturating_mul(NEGATIVE_LOG10_UPPER_BOUND);
(negative_log10_times_1024.saturating_mul(multiplier_msat) / 1024).min(max_penalty_msat)
};
let amount_penalty_msat = negative_log10_times_1024
.saturating_mul(params.amount_penalty_multiplier_msat)
.saturating_mul(amount_msat) / 1024 / AMOUNT_PENALTY_DIVISOR;
params.base_penalty_msat
.saturating_add(liquidity_penalty_msat)
.saturating_add(amount_penalty_msat)
}
/// Returns the lower bound of the channel liquidity balance in this direction.
fn min_liquidity_msat(&self) -> u64 {
self.decayed_offset_msat(*self.min_liquidity_offset_msat)
@ -762,14 +823,12 @@ impl<G: Deref<Target = NetworkGraph>, T: Time> Score for ProbabilisticScorerUsin
&self, short_channel_id: u64, amount_msat: u64, capacity_msat: u64, source: &NodeId,
target: &NodeId
) -> u64 {
let liquidity_penalty_multiplier_msat = self.params.liquidity_penalty_multiplier_msat;
let liquidity_offset_half_life = self.params.liquidity_offset_half_life;
self.channel_liquidities
.get(&short_channel_id)
.unwrap_or(&ChannelLiquidity::new())
.as_directed(source, target, capacity_msat, liquidity_offset_half_life)
.penalty_msat(amount_msat, liquidity_penalty_multiplier_msat)
.saturating_add(self.params.base_penalty_msat)
.penalty_msat(amount_msat, self.params)
}
fn payment_path_failed(&mut self, path: &[&RouteHop], short_channel_id: u64) {
@ -1747,7 +1806,8 @@ mod tests {
fn increased_penalty_nearing_liquidity_upper_bound() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1772,7 +1832,8 @@ mod tests {
let last_updated = SinceEpoch::now();
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph)
.with_channel(42,
@ -1792,7 +1853,8 @@ mod tests {
fn does_not_further_penalize_own_channel() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let sender = sender_node_id();
@ -1813,7 +1875,8 @@ mod tests {
fn sets_liquidity_lower_bound_on_downstream_failure() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1835,7 +1898,8 @@ mod tests {
fn sets_liquidity_upper_bound_on_failure() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1857,7 +1921,8 @@ mod tests {
fn reduces_liquidity_upper_bound_along_path_on_success() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let sender = sender_node_id();
@ -1881,9 +1946,9 @@ mod tests {
fn decays_liquidity_bounds_over_time() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 1_000,
liquidity_offset_half_life: Duration::from_secs(10),
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1933,9 +1998,9 @@ mod tests {
fn decays_liquidity_bounds_without_shift_overflow() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 1_000,
liquidity_offset_half_life: Duration::from_secs(10),
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1958,9 +2023,9 @@ mod tests {
fn restricts_liquidity_bounds_after_decay() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 1_000,
liquidity_offset_half_life: Duration::from_secs(10),
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -1996,9 +2061,9 @@ mod tests {
fn restores_persisted_liquidity_bounds() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 1_000,
liquidity_offset_half_life: Duration::from_secs(10),
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -2026,9 +2091,9 @@ mod tests {
fn decays_persisted_liquidity_bounds() {
let network_graph = network_graph();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0,
liquidity_penalty_multiplier_msat: 1_000,
liquidity_offset_half_life: Duration::from_secs(10),
..ProbabilisticScoringParameters::zero_penalty()
};
let mut scorer = ProbabilisticScorer::new(params, &network_graph);
let source = source_node_id();
@ -2061,7 +2126,8 @@ mod tests {
let target = target_node_id();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, liquidity_penalty_multiplier_msat: 1_000, ..Default::default()
liquidity_penalty_multiplier_msat: 1_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph);
assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 58);
@ -2073,6 +2139,29 @@ mod tests {
assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 558);
}
#[test]
fn adds_amount_penalty_to_liquidity_penalty() {
let network_graph = network_graph();
let source = source_node_id();
let target = target_node_id();
let params = ProbabilisticScoringParameters {
liquidity_penalty_multiplier_msat: 1_000,
amount_penalty_multiplier_msat: 0,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph);
assert_eq!(scorer.channel_penalty_msat(42, 512_000, 1_024_000, &source, &target), 300);
let params = ProbabilisticScoringParameters {
liquidity_penalty_multiplier_msat: 1_000,
amount_penalty_multiplier_msat: 256,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph);
assert_eq!(scorer.channel_penalty_msat(42, 512_000, 1_024_000, &source, &target), 337);
}
#[test]
fn calculates_log10_without_overflowing_u64_max_value() {
let network_graph = network_graph();
@ -2080,7 +2169,8 @@ mod tests {
let target = target_node_id();
let params = ProbabilisticScoringParameters {
base_penalty_msat: 0, ..Default::default()
liquidity_penalty_multiplier_msat: 40_000,
..ProbabilisticScoringParameters::zero_penalty()
};
let scorer = ProbabilisticScorer::new(params, &network_graph);
assert_eq!(