pezkuwi-subxt/substrate/srml/staking/src/phragmen.rs

// Copyright 2019 Parity Technologies (UK) Ltd.
// This file is part of Substrate.

// Substrate is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.

// Substrate is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with Substrate.  If not, see <http://www.gnu.org/licenses/>.

//! Rust implementation of the Phragmén election algorithm.

use rstd::prelude::*;
use primitives::Perquintill;
use primitives::traits::{Zero, As, Bounded, CheckedMul, CheckedSub};
use parity_codec::{HasCompact, Encode, Decode};
use crate::{Exposure, BalanceOf, Trait, ValidatorPrefs, IndividualExposure};


// Configure the behavior of the Phragmen election.
// Might be deprecated.
pub struct ElectionConfig<Balance: HasCompact> {
	// Perform equalise?.
	pub equalise: bool,
	// Number of equalise iterations.
	pub iterations: usize,
	// Tolerance of max change per equalise iteration.
	pub tolerance: Balance,
}

// Wrapper around validation candidates some metadata.
#[derive(Clone, Encode, Decode, Default)]
#[cfg_attr(feature = "std", derive(Debug))]
pub struct Candidate<AccountId, Balance: HasCompact> {
	// The validator's account
	pub who: AccountId,
	// Exposure struct, holding info about the value that the validator has in stake.
	pub exposure: Exposure<AccountId, Balance>,
	// Intermediary value used to sort candidates.
	pub score: Perquintill,
	// Accumulator of the stake of this candidate based on received votes.
	approval_stake: Balance,
	// Flag for being elected.
	elected: bool,
	// This is most often equal to `Exposure.total` but not always. Needed for [`equalise`]
	backing_stake: Balance
}

// Wrapper around the nomination info of a single nominator for a group of validators.
#[derive(Clone, Encode, Decode, Default)]
#[cfg_attr(feature = "std", derive(Debug))]
pub struct Nominator<AccountId, Balance: HasCompact> {
	// The nominator's account.
	who: AccountId,
	// List of validators proposed by this nominator.
	edges: Vec<Edge<AccountId, Balance>>,
	// the stake amount proposed by the nominator as a part of the vote.
	budget: Balance,
	// Incremented each time a nominee that this nominator voted for has been elected.
	load: Perquintill,
}

// Wrapper around a nominator vote and the load of that vote.
#[derive(Clone, Encode, Decode, Default)]
#[cfg_attr(feature = "std", derive(Debug))]
pub struct Edge<AccountId, Balance: HasCompact> {
	// Account being voted for
	who: AccountId,
	// Load of this vote.
	load: Perquintill,
	// Final backing stake of this vote.
	backing_stake: Balance,
	// Index of the candidate stored in the 'candidates' vector
	candidate_index: usize,
	// Index of the candidate stored in the 'elected_candidates' vector. Used only with equalise.
	elected_idx: usize,
	// Indicates if this edge is a vote for an elected candidate. Used only with equalise.
	elected: bool,
}

/// Perform election based on Phragmén algorithm.
///
/// Reference implementation: https://github.com/w3f/consensus
///
/// Returns a vector of elected candidates
pub fn elect<T: Trait + 'static, FR, FN, FV, FS>(
		get_rounds: FR,
		get_validators: FV,
		get_nominators: FN,
		stash_of: FS,
		minimum_validator_count: usize,
		config: ElectionConfig<BalanceOf<T>>,
) -> Option<Vec<Candidate<T::AccountId, BalanceOf<T>>>> where
	FR: Fn() -> usize,
	FV: Fn() -> Box<dyn Iterator<
		Item =(T::AccountId, ValidatorPrefs<BalanceOf<T>>)
	>>,
	FN: Fn() -> Box<dyn Iterator<
		Item =(T::AccountId, Vec<T::AccountId>)
	>>,
	for <'r> FS: Fn(&'r T::AccountId) -> BalanceOf<T>,
{
	let rounds = get_rounds();
	let mut elected_candidates;

	// 1- Pre-process candidates and place them in a container
	let mut candidates = get_validators().map(|(who, _)| {
		let stash_balance = stash_of(&who);
		Candidate {
			who,
			exposure: Exposure { total: stash_balance, own: stash_balance, others: vec![] },
			..Default::default()
		}
	}).collect::<Vec<Candidate<T::AccountId, BalanceOf<T>>>>();

	// 1.1- Add phantom votes.
	let mut nominators: Vec<Nominator<T::AccountId, BalanceOf<T>>> = Vec::with_capacity(candidates.len());
	candidates.iter_mut().enumerate().for_each(|(idx, c)| {
		c.approval_stake += c.exposure.total;
		nominators.push(Nominator {
			who: c.who.clone(),
			edges: vec![ Edge { who: c.who.clone(), candidate_index: idx, ..Default::default() }],
			budget: c.exposure.total,
			load: Perquintill::zero(),
		})
	});

	// 2- Collect the nominators with the associated votes.
	// Also collect approval stake along the way.
	nominators.extend(get_nominators().map(|(who, nominees)| {
		let nominator_stake = stash_of(&who);
		let mut edges: Vec<Edge<T::AccountId, BalanceOf<T>>> = Vec::with_capacity(nominees.len());
		for n in &nominees {
			if let Some(idx) = candidates.iter_mut().position(|i| i.who == *n) {
				candidates[idx].approval_stake += nominator_stake;
				edges.push(Edge { who: n.clone(), candidate_index: idx, ..Default::default() });
			}
		}

		Nominator {
			who,
			edges: edges,
			budget: nominator_stake,
			load: Perquintill::zero(),
		}
	}));


	// 3- optimization:
	// Candidates who have 0 stake => have no votes or all null-votes. Kick them out not.
	let mut candidates = candidates.into_iter().filter(|c| c.approval_stake > BalanceOf::<T>::zero())
		.collect::<Vec<Candidate<T::AccountId, BalanceOf<T>>>>();

	// 4- If we have more candidates then needed, run Phragmén.
	if candidates.len() >= rounds {
		elected_candidates = Vec::with_capacity(rounds);
		// Main election loop
		for _round in 0..rounds {
			// Loop 1: initialize score
			for c in &mut candidates {
				if !c.elected {
					c.score = Perquintill::from_xth(c.approval_stake.as_());
				}
			}
			// Loop 2: increment score.
			for n in &nominators {
				for e in &n.edges {
					let c = &mut candidates[e.candidate_index];
					if !c.elected {
						let temp = n.budget.as_() * *n.load / c.approval_stake.as_();
						c.score = Perquintill::from_quintillionths(*c.score + temp);
					}
				}
			}

			// Find the best
			let winner = candidates
				.iter_mut()
				.filter(|c| !c.elected)
				.min_by_key(|c| *c.score)
				.expect("candidates length is checked to be >0; qed");

			// loop 3: update nominator and edge load
			winner.elected = true;
			for n in &mut nominators {
				for e in &mut n.edges {
					if e.who == winner.who {
						e.load = Perquintill::from_quintillionths(*winner.score - *n.load);
						n.load = winner.score;
					}
				}
			}

			elected_candidates.push(winner.clone());
		} // end of all rounds

		// 4.1- Update backing stake of candidates and nominators
		for n in &mut nominators {
			for e in &mut n.edges {
				// if the target of this vote is among the winners, otherwise let go.
				if let Some(c) = elected_candidates.iter_mut().find(|c| c.who == e.who) {
					e.elected = true;
					// NOTE: for now, always divide last to avoid collapse to zero.
					e.backing_stake = <BalanceOf<T>>::sa((n.budget.as_() * *e.load) / *n.load);
					c.backing_stake += e.backing_stake;
					if c.who != n.who {
						// Only update the exposure if this vote is from some other account.
						c.exposure.total += e.backing_stake;
						c.exposure.others.push(
							IndividualExposure { who: n.who.clone(), value: e.backing_stake }
						);
					}
				}
			}
		}

		// Optionally perform equalise post-processing.
		if config.equalise {
			let tolerance = config.tolerance;
			let equalise_iterations = config.iterations;

			// Fix indexes
			nominators.iter_mut().for_each(|n| {
				n.edges.iter_mut().for_each(|e| {
					if let Some(idx) = elected_candidates.iter().position(|c| c.who == e.who) {
						e.elected_idx = idx;
					}
				});
			});

			for _i in 0..equalise_iterations {
				let mut max_diff = <BalanceOf<T>>::zero();
				nominators.iter_mut().for_each(|mut n| {
					let diff = equalise::<T>(&mut n, &mut elected_candidates, tolerance);
					if diff > max_diff {
						max_diff = diff;
					}
				});
				if max_diff < tolerance {
					break;
				}
			}
		}

	} else {
		if candidates.len() > minimum_validator_count {
			// if we don't have enough candidates, just choose all that have some vote.
			elected_candidates = candidates;
			for n in &mut nominators {
				let nominator = n.who.clone();
				for e in &mut n.edges {
					if let Some(c) = elected_candidates.iter_mut().find(|c| c.who == e.who && c.who != nominator) {
						c.exposure.total += n.budget;
						c.exposure.others.push(
							IndividualExposure { who: n.who.clone(), value: n.budget }
						);
					}
				}
			}
		} else {
			// if we have less than minimum, use the previous validator set.
			return None
		}
	}
	Some(elected_candidates)
}

pub fn equalise<T: Trait + 'static>(
	nominator: &mut Nominator<T::AccountId, BalanceOf<T>>,
	elected_candidates: &mut Vec<Candidate<T::AccountId, BalanceOf<T>>>,
	tolerance: BalanceOf<T>
) -> BalanceOf<T> {

	let mut elected_edges = nominator.edges
		.iter_mut()
		.filter(|e| e.elected)
		.collect::<Vec<&mut Edge<T::AccountId, BalanceOf<T>>>>();
	if elected_edges.len() == 0 { return <BalanceOf<T>>::zero(); }
	let stake_used = elected_edges
		.iter()
		.fold(<BalanceOf<T>>::zero(), |s, e| s + e.backing_stake);
	let backed_stakes = elected_edges
		.iter()
		.map(|e| elected_candidates[e.elected_idx].backing_stake)
		.collect::<Vec<BalanceOf<T>>>();
	let backing_backed_stake = elected_edges
		.iter()
		.filter(|e| e.backing_stake > <BalanceOf<T>>::zero())
		.map(|e| elected_candidates[e.elected_idx].backing_stake)
		.collect::<Vec<BalanceOf<T>>>();

	let mut difference;
	if backing_backed_stake.len() > 0 {
		let max_stake = *backing_backed_stake
			.iter()
			.max()
			.expect("vector with positive length will have a max; qed");
		let min_stake = *backed_stakes
			.iter()
			.min()
			.expect("vector with positive length will have a max; qed");
		difference = max_stake - min_stake;
		difference += nominator.budget - stake_used;
		if difference < tolerance {
			return difference;
		}
	} else {
		difference = nominator.budget;
	}

	// Undo updates to exposure
	elected_edges.iter_mut().for_each(|e| {
		// NOTE: no assertions in the runtime, but this should nonetheless be indicative.
		//assert_eq!(elected_candidates[e.elected_idx].who, e.who);
		elected_candidates[e.elected_idx].backing_stake -= e.backing_stake;
		elected_candidates[e.elected_idx].exposure.total -= e.backing_stake;
		e.backing_stake = <BalanceOf<T>>::zero();
	});

	elected_edges.sort_unstable_by_key(|e| elected_candidates[e.elected_idx].backing_stake);

	let mut cumulative_stake = <BalanceOf<T>>::zero();
	let mut last_index = elected_edges.len() - 1;
	let budget = nominator.budget;
	elected_edges.iter_mut().enumerate().for_each(|(idx, e)| {
		let stake = elected_candidates[e.elected_idx].backing_stake;

		let stake_mul = stake.checked_mul(&<BalanceOf<T>>::sa(idx as u64)).unwrap_or(<BalanceOf<T>>::max_value());
		let stake_sub = stake_mul.checked_sub(&cumulative_stake).unwrap_or_default();
		if stake_sub > budget {
			last_index = idx.clone().checked_sub(1).unwrap_or(0);
			return
		}
		cumulative_stake += stake;
	});

	let last_stake = elected_candidates[elected_edges[last_index].elected_idx].backing_stake;
	let split_ways = last_index + 1;
	let excess = nominator.budget + cumulative_stake - last_stake * <BalanceOf<T>>::sa(split_ways as u64);
	let nominator_address = nominator.who.clone();
	elected_edges.iter_mut().take(split_ways).for_each(|e| {
		let c = &mut elected_candidates[e.elected_idx];
		e.backing_stake = excess / <BalanceOf<T>>::sa(split_ways as u64) + last_stake - c.backing_stake;
		c.exposure.total += e.backing_stake;
		c.backing_stake += e.backing_stake;
		if let Some(i_expo) = c.exposure.others.iter_mut().find(|i| i.who == nominator_address) {
			i_expo.value = e.backing_stake;
		}
	});
	difference
}