pezkuwi-subxt/substrate/frame/support/src/traits.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/>.

//! Traits for SRML.
//!
//! NOTE: If you're looking for `parameter_types`, it has moved in to the top-level module.

use sp_std::{prelude::*, result, marker::PhantomData, ops::Div, fmt::Debug};
use codec::{FullCodec, Codec, Encode, Decode};
use sp_core::u32_trait::Value as U32;
use sp_runtime::{
	ConsensusEngineId, DispatchResult, DispatchError,
	traits::{MaybeSerializeDeserialize, SimpleArithmetic, Saturating},
};

use crate::dispatch::Parameter;

/// Anything that can have a `::len()` method.
pub trait Len {
	/// Return the length of data type.
	fn len(&self) -> usize;
}

impl<T: IntoIterator + Clone,> Len for T where <T as IntoIterator>::IntoIter: ExactSizeIterator {
	fn len(&self) -> usize {
		self.clone().into_iter().len()
	}
}

/// A trait for querying a single fixed value from a type.
pub trait Get<T> {
	/// Return a constant value.
	fn get() -> T;
}

impl<T: Default> Get<T> for () {
	fn get() -> T { T::default() }
}

/// A trait for querying whether a type can be said to statically "contain" a value. Similar
/// in nature to `Get`, except it is designed to be lazy rather than active (you can't ask it to
/// enumerate all values that it contains) and work for multiple values rather than just one.
pub trait Contains<T> {
	/// Return `true` if this "contains" the given value `t`.
	fn contains(t: &T) -> bool;
}

impl<V: PartialEq, T: Get<V>> Contains<V> for T {
	fn contains(t: &V) -> bool {
		&Self::get() == t
	}
}

/// The account with the given id was killed.
#[impl_trait_for_tuples::impl_for_tuples(30)]
pub trait OnFreeBalanceZero<AccountId> {
	/// The account was the given id was killed.
	fn on_free_balance_zero(who: &AccountId);
}

/// Outcome of a balance update.
pub enum UpdateBalanceOutcome {
	/// Account balance was simply updated.
	Updated,
	/// The update led to killing the account.
	AccountKilled,
}

/// A trait for finding the author of a block header based on the `PreRuntime` digests contained
/// within it.
pub trait FindAuthor<Author> {
	/// Find the author of a block based on the pre-runtime digests.
	fn find_author<'a, I>(digests: I) -> Option<Author>
		where I: 'a + IntoIterator<Item=(ConsensusEngineId, &'a [u8])>;
}

impl<A> FindAuthor<A> for () {
	fn find_author<'a, I>(_: I) -> Option<A>
		where I: 'a + IntoIterator<Item=(ConsensusEngineId, &'a [u8])>
	{
		None
	}
}

/// A trait for verifying the seal of a header and returning the author.
pub trait VerifySeal<Header, Author> {
	/// Verify a header and return the author, if any.
	fn verify_seal(header: &Header) -> Result<Option<Author>, &'static str>;
}

/// Something which can compute and check proofs of
/// a historical key owner and return full identification data of that
/// key owner.
pub trait KeyOwnerProofSystem<Key> {
	/// The proof of membership itself.
	type Proof: Codec;
	/// The full identification of a key owner and the stash account.
	type IdentificationTuple: Codec;

	/// Prove membership of a key owner in the current block-state.
	///
	/// This should typically only be called off-chain, since it may be
	/// computationally heavy.
	///
	/// Returns `Some` iff the key owner referred to by the given `key` is a
	/// member of the current set.
	fn prove(key: Key) -> Option<Self::Proof>;

	/// Check a proof of membership on-chain. Return `Some` iff the proof is
	/// valid and recent enough to check.
	fn check_proof(key: Key, proof: Self::Proof) -> Option<Self::IdentificationTuple>;
}

/// Handler for when some currency "account" decreased in balance for
/// some reason.
///
/// The only reason at present for an increase would be for validator rewards, but
/// there may be other reasons in the future or for other chains.
///
/// Reasons for decreases include:
///
/// - Someone got slashed.
/// - Someone paid for a transaction to be included.
pub trait OnUnbalanced<Imbalance: TryDrop> {
	/// Handler for some imbalance. Infallible.
	fn on_unbalanced(amount: Imbalance) {
		amount.try_drop().unwrap_or_else(Self::on_nonzero_unbalanced)
	}

	/// Actually handle a non-zero imbalance. You probably want to implement this rather than
	/// `on_unbalanced`.
	fn on_nonzero_unbalanced(amount: Imbalance);
}

impl<Imbalance: TryDrop> OnUnbalanced<Imbalance> for () {
	fn on_nonzero_unbalanced(amount: Imbalance) { drop(amount); }
}

/// Simple boolean for whether an account needs to be kept in existence.
#[derive(Copy, Clone, Eq, PartialEq)]
pub enum ExistenceRequirement {
	/// Operation must not result in the account going out of existence.
	///
	/// Note this implies that if the account never existed in the first place, then the operation
	/// may legitimately leave the account unchanged and still non-existent.
	KeepAlive,
	/// Operation may result in account going out of existence.
	AllowDeath,
}

/// A type for which some values make sense to be able to drop without further consideration.
pub trait TryDrop: Sized {
	/// Drop an instance cleanly. Only works if its value represents "no-operation".
	fn try_drop(self) -> Result<(), Self>;
}

/// A trait for a not-quite Linear Type that tracks an imbalance.
///
/// Functions that alter account balances return an object of this trait to
/// express how much account balances have been altered in aggregate. If
/// dropped, the currency system will take some default steps to deal with
/// the imbalance (`balances` module simply reduces or increases its
/// total issuance). Your module should generally handle it in some way,
/// good practice is to do so in a configurable manner using an
/// `OnUnbalanced` type for each situation in which your module needs to
/// handle an imbalance.
///
/// Imbalances can either be Positive (funds were added somewhere without
/// being subtracted elsewhere - e.g. a reward) or Negative (funds deducted
/// somewhere without an equal and opposite addition - e.g. a slash or
/// system fee payment).
///
/// Since they are unsigned, the actual type is always Positive or Negative.
/// The trait makes no distinction except to define the `Opposite` type.
///
/// New instances of zero value can be created (`zero`) and destroyed
/// (`drop_zero`).
///
/// Existing instances can be `split` and merged either consuming `self` with
/// `merge` or mutating `self` with `subsume`. If the target is an `Option`,
/// then `maybe_merge` and `maybe_subsume` might work better. Instances can
/// also be `offset` with an `Opposite` that is less than or equal to in value.
///
/// You can always retrieve the raw balance value using `peek`.
#[must_use]
pub trait Imbalance<Balance>: Sized + TryDrop {
	/// The oppositely imbalanced type. They come in pairs.
	type Opposite: Imbalance<Balance>;

	/// The zero imbalance. Can be destroyed with `drop_zero`.
	fn zero() -> Self;

	/// Drop an instance cleanly. Only works if its `self.value()` is zero.
	fn drop_zero(self) -> Result<(), Self>;

	/// Consume `self` and return two independent instances; the first
	/// is guaranteed to be at most `amount` and the second will be the remainder.
	fn split(self, amount: Balance) -> (Self, Self);

	/// Consume `self` and an `other` to return a new instance that combines
	/// both.
	fn merge(self, other: Self) -> Self;

	/// Consume `self` and maybe an `other` to return a new instance that combines
	/// both.
	fn maybe_merge(self, other: Option<Self>) -> Self {
		if let Some(o) = other {
			self.merge(o)
		} else {
			self
		}
	}

	/// Consume an `other` to mutate `self` into a new instance that combines
	/// both.
	fn subsume(&mut self, other: Self);

	/// Maybe consume an `other` to mutate `self` into a new instance that combines
	/// both.
	fn maybe_subsume(&mut self, other: Option<Self>) {
		if let Some(o) = other {
			self.subsume(o)
		}
	}

	/// Consume self and along with an opposite counterpart to return
	/// a combined result.
	///
	/// Returns `Ok` along with a new instance of `Self` if this instance has a
	/// greater value than the `other`. Otherwise returns `Err` with an instance of
	/// the `Opposite`. In both cases the value represents the combination of `self`
	/// and `other`.
	fn offset(self, other: Self::Opposite) -> Result<Self, Self::Opposite>;

	/// The raw value of self.
	fn peek(&self) -> Balance;
}

/// Either a positive or a negative imbalance.
pub enum SignedImbalance<B, P: Imbalance<B>>{
	/// A positive imbalance (funds have been created but none destroyed).
	Positive(P),
	/// A negative imbalance (funds have been destroyed but none created).
	Negative(P::Opposite),
}

impl<
	P: Imbalance<B, Opposite=N>,
	N: Imbalance<B, Opposite=P>,
	B: SimpleArithmetic + FullCodec + Copy + MaybeSerializeDeserialize + Debug + Default,
> SignedImbalance<B, P> {
	pub fn zero() -> Self {
		SignedImbalance::Positive(P::zero())
	}

	pub fn drop_zero(self) -> Result<(), Self> {
		match self {
			SignedImbalance::Positive(x) => x.drop_zero().map_err(SignedImbalance::Positive),
			SignedImbalance::Negative(x) => x.drop_zero().map_err(SignedImbalance::Negative),
		}
	}

	/// Consume `self` and an `other` to return a new instance that combines
	/// both.
	pub fn merge(self, other: Self) -> Self {
		match (self, other) {
			(SignedImbalance::Positive(one), SignedImbalance::Positive(other)) =>
				SignedImbalance::Positive(one.merge(other)),
			(SignedImbalance::Negative(one), SignedImbalance::Negative(other)) =>
				SignedImbalance::Negative(one.merge(other)),
			(SignedImbalance::Positive(one), SignedImbalance::Negative(other)) =>
				if one.peek() > other.peek() {
					SignedImbalance::Positive(one.offset(other).ok().unwrap_or_else(P::zero))
				} else {
					SignedImbalance::Negative(other.offset(one).ok().unwrap_or_else(N::zero))
				},
			(one, other) => other.merge(one),
		}
	}
}

/// Split an unbalanced amount two ways between a common divisor.
pub struct SplitTwoWays<
	Balance,
	Imbalance,
	Part1,
	Target1,
	Part2,
	Target2,
>(PhantomData<(Balance, Imbalance, Part1, Target1, Part2, Target2)>);

impl<
	Balance: From<u32> + Saturating + Div<Output=Balance>,
	I: Imbalance<Balance>,
	Part1: U32,
	Target1: OnUnbalanced<I>,
	Part2: U32,
	Target2: OnUnbalanced<I>,
> OnUnbalanced<I> for SplitTwoWays<Balance, I, Part1, Target1, Part2, Target2>
{
	fn on_nonzero_unbalanced(amount: I) {
		let total: u32 = Part1::VALUE + Part2::VALUE;
		let amount1 = amount.peek().saturating_mul(Part1::VALUE.into()) / total.into();
		let (imb1, imb2) = amount.split(amount1);
		Target1::on_unbalanced(imb1);
		Target2::on_unbalanced(imb2);
	}
}

/// Abstraction over a fungible assets system.
pub trait Currency<AccountId> {
	/// The balance of an account.
	type Balance: SimpleArithmetic + FullCodec + Copy + MaybeSerializeDeserialize + Debug + Default;

	/// The opaque token type for an imbalance. This is returned by unbalanced operations
	/// and must be dealt with. It may be dropped but cannot be cloned.
	type PositiveImbalance: Imbalance<Self::Balance, Opposite=Self::NegativeImbalance>;

	/// The opaque token type for an imbalance. This is returned by unbalanced operations
	/// and must be dealt with. It may be dropped but cannot be cloned.
	type NegativeImbalance: Imbalance<Self::Balance, Opposite=Self::PositiveImbalance>;

	// PUBLIC IMMUTABLES

	/// The combined balance of `who`.
	fn total_balance(who: &AccountId) -> Self::Balance;

	/// Same result as `slash(who, value)` (but without the side-effects) assuming there are no
	/// balance changes in the meantime and only the reserved balance is not taken into account.
	fn can_slash(who: &AccountId, value: Self::Balance) -> bool;

	/// The total amount of issuance in the system.
	fn total_issuance() -> Self::Balance;

	/// The minimum balance any single account may have. This is equivalent to the `Balances` module's
	/// `ExistentialDeposit`.
	fn minimum_balance() -> Self::Balance;

	/// Reduce the total issuance by `amount` and return the according imbalance. The imbalance will
	/// typically be used to reduce an account by the same amount with e.g. `settle`.
	///
	/// This is infallible, but doesn't guarantee that the entire `amount` is burnt, for example
	/// in the case of underflow.
	fn burn(amount: Self::Balance) -> Self::PositiveImbalance;

	/// Increase the total issuance by `amount` and return the according imbalance. The imbalance
	/// will typically be used to increase an account by the same amount with e.g.
	/// `resolve_into_existing` or `resolve_creating`.
	///
	/// This is infallible, but doesn't guarantee that the entire `amount` is issued, for example
	/// in the case of overflow.
	fn issue(amount: Self::Balance) -> Self::NegativeImbalance;

	/// The 'free' balance of a given account.
	///
	/// This is the only balance that matters in terms of most operations on tokens. It alone
	/// is used to determine the balance when in the contract execution environment. When this
	/// balance falls below the value of `ExistentialDeposit`, then the 'current account' is
	/// deleted: specifically `FreeBalance`. Further, the `OnFreeBalanceZero` callback
	/// is invoked, giving a chance to external modules to clean up data associated with
	/// the deleted account.
	///
	/// `system::AccountNonce` is also deleted if `ReservedBalance` is also zero (it also gets
	/// collapsed to zero if it ever becomes less than `ExistentialDeposit`.
	fn free_balance(who: &AccountId) -> Self::Balance;

	/// Returns `Ok` iff the account is able to make a withdrawal of the given amount
	/// for the given reason. Basically, it's just a dry-run of `withdraw`.
	///
	/// `Err(...)` with the reason why not otherwise.
	fn ensure_can_withdraw(
		who: &AccountId,
		_amount: Self::Balance,
		reasons: WithdrawReasons,
		new_balance: Self::Balance,
	) -> DispatchResult;

	// PUBLIC MUTABLES (DANGEROUS)

	/// Transfer some liquid free balance to another staker.
	///
	/// This is a very high-level function. It will ensure all appropriate fees are paid
	/// and no imbalance in the system remains.
	fn transfer(
		source: &AccountId,
		dest: &AccountId,
		value: Self::Balance,
		existence_requirement: ExistenceRequirement,
	) -> DispatchResult;

	/// Deducts up to `value` from the combined balance of `who`, preferring to deduct from the
	/// free balance. This function cannot fail.
	///
	/// The resulting imbalance is the first item of the tuple returned.
	///
	/// As much funds up to `value` will be deducted as possible. If this is less than `value`,
	/// then a non-zero second item will be returned.
	fn slash(
		who: &AccountId,
		value: Self::Balance
	) -> (Self::NegativeImbalance, Self::Balance);

	/// Mints `value` to the free balance of `who`.
	///
	/// If `who` doesn't exist, nothing is done and an Err returned.
	fn deposit_into_existing(
		who: &AccountId,
		value: Self::Balance
	) -> result::Result<Self::PositiveImbalance, DispatchError>;

	/// Similar to deposit_creating, only accepts a `NegativeImbalance` and returns nothing on
	/// success.
	fn resolve_into_existing(
		who: &AccountId,
		value: Self::NegativeImbalance,
	) -> result::Result<(), Self::NegativeImbalance> {
		let v = value.peek();
		match Self::deposit_into_existing(who, v) {
			Ok(opposite) => Ok(drop(value.offset(opposite))),
			_ => Err(value),
		}
	}

	/// Adds up to `value` to the free balance of `who`. If `who` doesn't exist, it is created.
	///
	/// Infallible.
	fn deposit_creating(
		who: &AccountId,
		value: Self::Balance,
	) -> Self::PositiveImbalance;

	/// Similar to deposit_creating, only accepts a `NegativeImbalance` and returns nothing on
	/// success.
	fn resolve_creating(
		who: &AccountId,
		value: Self::NegativeImbalance,
	) {
		let v = value.peek();
		drop(value.offset(Self::deposit_creating(who, v)));
	}

	/// Removes some free balance from `who` account for `reason` if possible. If `liveness` is
	/// `KeepAlive`, then no less than `ExistentialDeposit` must be left remaining.
	///
	/// This checks any locks, vesting, and liquidity requirements. If the removal is not possible,
	/// then it returns `Err`.
	///
	/// If the operation is successful, this will return `Ok` with a `NegativeImbalance` whose value
	/// is `value`.
	fn withdraw(
		who: &AccountId,
		value: Self::Balance,
		reasons: WithdrawReasons,
		liveness: ExistenceRequirement,
	) -> result::Result<Self::NegativeImbalance, DispatchError>;

	/// Similar to withdraw, only accepts a `PositiveImbalance` and returns nothing on success.
	fn settle(
		who: &AccountId,
		value: Self::PositiveImbalance,
		reasons: WithdrawReasons,
		liveness: ExistenceRequirement,
	) -> result::Result<(), Self::PositiveImbalance> {
		let v = value.peek();
		match Self::withdraw(who, v, reasons, liveness) {
			Ok(opposite) => Ok(drop(value.offset(opposite))),
			_ => Err(value),
		}
	}

	/// Ensure an account's free balance equals some value; this will create the account
	/// if needed.
	///
	/// Returns a signed imbalance and status to indicate if the account was successfully updated or update
	/// has led to killing of the account.
	fn make_free_balance_be(
		who: &AccountId,
		balance: Self::Balance,
	) -> (
		SignedImbalance<Self::Balance, Self::PositiveImbalance>,
		UpdateBalanceOutcome,
	);
}

/// A currency where funds can be reserved from the user.
pub trait ReservableCurrency<AccountId>: Currency<AccountId> {
	/// Same result as `reserve(who, value)` (but without the side-effects) assuming there
	/// are no balance changes in the meantime.
	fn can_reserve(who: &AccountId, value: Self::Balance) -> bool;

	/// Deducts up to `value` from reserved balance of `who`. This function cannot fail.
	///
	/// As much funds up to `value` will be deducted as possible. If the reserve balance of `who`
	/// is less than `value`, then a non-zero second item will be returned.
	fn slash_reserved(
		who: &AccountId,
		value: Self::Balance
	) -> (Self::NegativeImbalance, Self::Balance);

	/// The amount of the balance of a given account that is externally reserved; this can still get
	/// slashed, but gets slashed last of all.
	///
	/// This balance is a 'reserve' balance that other subsystems use in order to set aside tokens
	/// that are still 'owned' by the account holder, but which are suspendable.
	///
	/// When this balance falls below the value of `ExistentialDeposit`, then this 'reserve account'
	/// is deleted: specifically, `ReservedBalance`.
	///
	/// `system::AccountNonce` is also deleted if `FreeBalance` is also zero (it also gets
	/// collapsed to zero if it ever becomes less than `ExistentialDeposit`.
	fn reserved_balance(who: &AccountId) -> Self::Balance;


	/// Moves `value` from balance to reserved balance.
	///
	/// If the free balance is lower than `value`, then no funds will be moved and an `Err` will
	/// be returned to notify of this. This is different behavior than `unreserve`.
	fn reserve(who: &AccountId, value: Self::Balance) -> DispatchResult;

	/// Moves up to `value` from reserved balance to free balance. This function cannot fail.
	///
	/// As much funds up to `value` will be moved as possible. If the reserve balance of `who`
	/// is less than `value`, then the remaining amount will be returned.
	///
	/// # NOTES
	///
	/// - This is different from `reserve`.
	/// - If the remaining reserved balance is less than `ExistentialDeposit`, it will
	/// invoke `on_reserved_too_low` and could reap the account.
	fn unreserve(who: &AccountId, value: Self::Balance) -> Self::Balance;

	/// Moves up to `value` from reserved balance of account `slashed` to free balance of account
	/// `beneficiary`. `beneficiary` must exist for this to succeed. If it does not, `Err` will be
	/// returned.
	///
	/// As much funds up to `value` will be deducted as possible. If this is less than `value`,
	/// then `Ok(non_zero)` will be returned.
	fn repatriate_reserved(
		slashed: &AccountId,
		beneficiary: &AccountId,
		value: Self::Balance
	) -> result::Result<Self::Balance, DispatchError>;
}

/// An identifier for a lock. Used for disambiguating different locks so that
/// they can be individually replaced or removed.
pub type LockIdentifier = [u8; 8];

/// A currency whose accounts can have liquidity restrictions.
pub trait LockableCurrency<AccountId>: Currency<AccountId> {
	/// The quantity used to denote time; usually just a `BlockNumber`.
	type Moment;

	/// Create a new balance lock on account `who`.
	///
	/// If the new lock is valid (i.e. not already expired), it will push the struct to
	/// the `Locks` vec in storage. Note that you can lock more funds than a user has.
	///
	/// If the lock `id` already exists, this will update it.
	fn set_lock(
		id: LockIdentifier,
		who: &AccountId,
		amount: Self::Balance,
		until: Self::Moment,
		reasons: WithdrawReasons,
	);

	/// Changes a balance lock (selected by `id`) so that it becomes less liquid in all
	/// parameters or creates a new one if it does not exist.
	///
	/// Calling `extend_lock` on an existing lock `id` differs from `set_lock` in that it
	/// applies the most severe constraints of the two, while `set_lock` replaces the lock
	/// with the new parameters. As in, `extend_lock` will set:
	/// - maximum `amount`
	/// - farthest duration (`until`)
	/// - bitwise mask of all `reasons`
	fn extend_lock(
		id: LockIdentifier,
		who: &AccountId,
		amount: Self::Balance,
		until: Self::Moment,
		reasons: WithdrawReasons,
	);

	/// Remove an existing lock.
	fn remove_lock(
		id: LockIdentifier,
		who: &AccountId,
	);
}

/// A currency whose accounts can have balances which vest over time.
pub trait VestingCurrency<AccountId>: Currency<AccountId> {
	/// The quantity used to denote time; usually just a `BlockNumber`.
	type Moment;

	/// Get the amount that is currently being vested and cannot be transferred out of this account.
	fn vesting_balance(who: &AccountId) -> Self::Balance;

	/// Adds a vesting schedule to a given account.
	///
	/// If there already exists a vesting schedule for the given account, an `Err` is returned
	/// and nothing is updated.
	fn add_vesting_schedule(
		who: &AccountId,
		locked: Self::Balance,
		per_block: Self::Balance,
		starting_block: Self::Moment,
	) -> DispatchResult;

	/// Remove a vesting schedule for a given account.
	fn remove_vesting_schedule(who: &AccountId);
}

bitmask! {
	/// Reasons for moving funds out of an account.
	#[derive(Encode, Decode)]
	pub mask WithdrawReasons: i8 where

	/// Reason for moving funds out of an account.
	#[derive(Encode, Decode)]
	flags WithdrawReason {
		/// In order to pay for (system) transaction costs.
		TransactionPayment = 0b00000001,
		/// In order to transfer ownership.
		Transfer = 0b00000010,
		/// In order to reserve some funds for a later return or repatriation
		Reserve = 0b00000100,
		/// In order to pay some other (higher-level) fees.
		Fee = 0b00001000,
		/// In order to tip a validator for transaction inclusion.
		Tip = 0b00010000,
	}
}

pub trait Time {
	type Moment: SimpleArithmetic + Parameter + Default + Copy;

	fn now() -> Self::Moment;
}

impl WithdrawReasons {
	/// Choose all variants except for `one`.
	///
	/// ```rust
	/// # use frame_support::traits::{WithdrawReason, WithdrawReasons};
	/// # fn main() {
	/// assert_eq!(
	/// 	WithdrawReason::Fee | WithdrawReason::Transfer | WithdrawReason::Reserve | WithdrawReason::Tip,
	/// 	WithdrawReasons::except(WithdrawReason::TransactionPayment),
	///	);
	/// # }
	/// ```
	pub fn except(one: WithdrawReason) -> WithdrawReasons {
		let mut mask = Self::all();
		mask.toggle(one);
		mask
	}
}

/// Trait for type that can handle incremental changes to a set of account IDs.
pub trait ChangeMembers<AccountId: Clone + Ord> {
	/// A number of members `incoming` just joined the set and replaced some `outgoing` ones. The
	/// new set is given by `new`, and need not be sorted.
	fn change_members(incoming: &[AccountId], outgoing: &[AccountId], mut new: Vec<AccountId>) {
		new.sort_unstable();
		Self::change_members_sorted(incoming, outgoing, &new[..]);
	}

	/// A number of members `_incoming` just joined the set and replaced some `_outgoing` ones. The
	/// new set is thus given by `sorted_new` and **must be sorted**.
	///
	/// NOTE: This is the only function that needs to be implemented in `ChangeMembers`.
	fn change_members_sorted(
		incoming: &[AccountId],
		outgoing: &[AccountId],
		sorted_new: &[AccountId],
	);

	/// Set the new members; they **must already be sorted**. This will compute the diff and use it to
	/// call `change_members_sorted`.
	fn set_members_sorted(new_members: &[AccountId], old_members: &[AccountId]) {
		let (incoming, outgoing) = Self::compute_members_diff(new_members, old_members);
		Self::change_members_sorted(&incoming[..], &outgoing[..], &new_members);
	}

	/// Set the new members; they **must already be sorted**. This will compute the diff and use it to
	/// call `change_members_sorted`.
	fn compute_members_diff(
		new_members: &[AccountId],
		old_members: &[AccountId]
	) -> (Vec<AccountId>, Vec<AccountId>) {
		let mut old_iter = old_members.iter();
		let mut new_iter = new_members.iter();
		let mut incoming = Vec::new();
		let mut outgoing = Vec::new();
		let mut old_i = old_iter.next();
		let mut new_i = new_iter.next();
		loop {
			match (old_i, new_i) {
				(None, None) => break,
				(Some(old), Some(new)) if old == new => {
					old_i = old_iter.next();
					new_i = new_iter.next();
				}
				(Some(old), Some(new)) if old < new => {
					outgoing.push(old.clone());
					old_i = old_iter.next();
				}
				(Some(old), None) => {
					outgoing.push(old.clone());
					old_i = old_iter.next();
				}
				(_, Some(new)) => {
					incoming.push(new.clone());
					new_i = new_iter.next();
				}
			}
		}
		(incoming, outgoing)
	}
}

impl<T: Clone + Ord> ChangeMembers<T> for () {
	fn change_members(_: &[T], _: &[T], _: Vec<T>) {}
	fn change_members_sorted(_: &[T], _: &[T], _: &[T]) {}
	fn set_members_sorted(_: &[T], _: &[T]) {}
}

/// Trait for type that can handle the initialization of account IDs at genesis.
pub trait InitializeMembers<AccountId> {
	/// Initialize the members to the given `members`.
	fn initialize_members(members: &[AccountId]);
}

impl<T> InitializeMembers<T> for () {
	fn initialize_members(_: &[T]) {}
}

// A trait that is able to provide randomness.
pub trait Randomness<Output> {
	/// Get a "random" value
	///
	/// Being a deterministic blockchain, real randomness is difficult to come by. This gives you
	/// something that approximates it. `subject` is a context identifier and allows you to get a
	/// different result to other callers of this function; use it like
	/// `random(&b"my context"[..])`.
	fn random(subject: &[u8]) -> Output;

	/// Get the basic random seed.
	///
	/// In general you won't want to use this, but rather `Self::random` which allows you to give a
	/// subject for the random result and whose value will be independently low-influence random
	/// from any other such seeds.
	fn random_seed() -> Output {
		Self::random(&[][..])
	}
}

/// Implementors of this trait provide information about whether or not some validator has
/// been registered with them. The [Session module](../../pallet_session/index.html) is an implementor.
pub trait ValidatorRegistration<ValidatorId> {
	/// Returns true if the provided validator ID has been registered with the implementing runtime
	/// module
	fn is_registered(id: &ValidatorId) -> bool;
}

/// Something that can convert a given module into the index of the module in the runtime.
///
/// The index of a module is determined by the position it appears in `construct_runtime!`.
pub trait ModuleToIndex {
	/// Convert the given module `M` into an index.
	fn module_to_index<M: 'static>() -> Option<usize>;
}

impl ModuleToIndex for () {
	fn module_to_index<M: 'static>() -> Option<usize> { Some(0) }
}