Log which hop in a path was the most limiting in capacity

Its generally rather difficult to debug the pathfinding logic from
a log, and sadly because we cannot feasibly log each step in a
pathfinding search there's relatively few options we have for
improving this.

However, one specific question we occasionally get is "why did the
pathfinder decide to use MPP"? While we similarly cannot
practically log every possible path the pathfinder could have taken
to explain why a specific path which required MPP was taken, we can
at least explain which hop in the path was the most limited, which
we do here.

Author: TheBlueMatt

lightning/src/routing/router.rs

@@ -2125,10 +2125,10 @@ impl<'a> PaymentPath<'a> {
 	// Returns the maximum contribution that this path can make to the final value of the payment. May
 	// be slightly lower than the actual max due to rounding errors when aggregating fees along the
 	// path.
-	fn compute_max_final_value_contribution(
+	fn max_final_value_msat(
 		&self, used_liquidities: &HashMap<CandidateHopId, u64>, channel_saturation_pow_half: u8
-	) -> u64 {
-		let mut max_path_contribution = u64::MAX;
+	) -> (u64, usize) {
+		let mut max_path_contribution = (0, u64::MAX);
 		for (idx, (hop, _)) in self.hops.iter().enumerate() {
 			let hop_effective_capacity_msat = hop.candidate.effective_capacity();
 			let hop_max_msat = max_htlc_from_capacity(
@@ -2155,7 +2155,9 @@ impl<'a> PaymentPath<'a> {
 
 			if let Some(hop_contribution) = hop_max_final_value_contribution {
 				let hop_contribution: u64 = hop_contribution.try_into().unwrap_or(u64::MAX);
-				max_path_contribution = core::cmp::min(hop_contribution, max_path_contribution);
+				if hop_contribution <= max_path_contribution.1 {
+					max_path_contribution = (idx, hop_contribution);
+				}
 			} else { debug_assert!(false); }
 		}
 
@@ -3311,9 +3313,8 @@ where L::Target: Logger {
 				// recompute the fees again, so that if that's the case, we match the currently
 				// underpaid htlc_minimum_msat with fees.
 				debug_assert_eq!(payment_path.get_value_msat(), value_contribution_msat);
-				let max_path_contribution_msat = payment_path.compute_max_final_value_contribution(
-					&used_liquidities, channel_saturation_pow_half
-				);
+				let (lowest_value_contrib_hop, max_path_contribution_msat) =
+					payment_path.max_final_value_msat(&used_liquidities, channel_saturation_pow_half);
 				let desired_value_contribution = cmp::min(max_path_contribution_msat, final_value_msat);
 				value_contribution_msat = payment_path.update_value_and_recompute_fees(desired_value_contribution);
 
@@ -3349,6 +3350,8 @@ where L::Target: Logger {
 						*used_liquidities.entry(CandidateHopId::Clear((scid, false))).or_default() = exhausted;
 						*used_liquidities.entry(CandidateHopId::Clear((scid, true))).or_default() = exhausted;
 					}
+				} else {
+					log_trace!(logger, "Path was limited to {}msat by hop {}", max_path_contribution_msat, lowest_value_contrib_hop);
 				}
 
 				// Track the total amount all our collected paths allow to send so that we know